* [misc]progress: [Phase 1 of 3] Setting up. * * * [misc]progress: [1/2] Preparing points * * * * [misc]points: Sampling 256 additional inputs, on iter 0 have 0 / 256 * * * * [misc]points: Computing exacts on every 16 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 8 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Setting MPFR precision to 832 * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 4 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 2 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 256 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 68 additional inputs, on iter 1 have 188 / 256 * * * * [misc]points: Computing exacts on every 4 of 68 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 68 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 68 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 16 additional inputs, on iter 2 have 240 / 256 * * * * [misc]points: Computing exacts for 16 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 259 points with exact outputs * * * [misc]progress: [2/2] Setting up program. * [misc]progress: [Phase 2 of 3] Improving. * [enter]simplify: Simplifying (/ (exp x) (- (exp x) 1)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (/ (exp x) (- (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 2) * * * * [misc]progress: [ 2 / 2 ] rewriting at (2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 2 ] generating series at (2 2) * [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) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 1/6 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/6 0) into 1/6 * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]backup-simplify: Simplify (+ (* 1/6 (pow x 3)) (+ (* 1/2 (pow x 2)) (* 1 x))) into (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 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 (- 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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 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 (- 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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 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: [ 2 / 2 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (/ (exp x) (- (exp x) 1)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (exp x) (- (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 (- (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) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (exp x) (- (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 (- (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) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* 1 (/ 1/2 1)))) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 1/6 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/6 0) into 1/6 * [misc]backup-simplify: Simplify (- (/ 1/2 1) (+ (* 1 (/ 1/6 1)) (* 1/2 (/ 1/2 1)))) into 1/12 * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]backup-simplify: Simplify (+ (* 1/12 x) (+ 1/2 (* 1 (/ 1 x)))) into (+ (* 1/12 x) (+ (/ 1 x) 1/2)) * [misc]approximate: Taking taylor expansion of (/ (exp (/ 1 x)) (- (exp (/ 1 x)) 1)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (exp (/ 1 x)) (- (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 (- (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 (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ 1 x)) -1) into (- (exp (/ 1 x)) 1) * [misc]backup-simplify: Simplify (/ (exp (/ 1 x)) (- (exp (/ 1 x)) 1)) into (/ (exp (/ 1 x)) (- (exp (/ 1 x)) 1)) * [misc]taylor: Taking taylor expansion of (/ (exp (/ 1 x)) (- (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 (- (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 (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ 1 x)) -1) into (- (exp (/ 1 x)) 1) * [misc]backup-simplify: Simplify (/ (exp (/ 1 x)) (- (exp (/ 1 x)) 1)) into (/ (exp (/ 1 x)) (- (exp (/ 1 x)) 1)) * [misc]backup-simplify: Simplify (/ (exp (/ 1 x)) (- (exp (/ 1 x)) 1)) into (/ (exp (/ 1 x)) (- (exp (/ 1 x)) 1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (/ 1 x)) 1)) (+ (* (/ (exp (/ 1 x)) (- (exp (/ 1 x)) 1)) (/ 0 (- (exp (/ 1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (/ 1 x)) 1)) (+ (* (/ (exp (/ 1 x)) (- (exp (/ 1 x)) 1)) (/ 0 (- (exp (/ 1 x)) 1))) (* 0 (/ 0 (- (exp (/ 1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (/ 1 x)) 1)) (+ (* (/ (exp (/ 1 x)) (- (exp (/ 1 x)) 1)) (/ 0 (- (exp (/ 1 x)) 1))) (* 0 (/ 0 (- (exp (/ 1 x)) 1))) (* 0 (/ 0 (- (exp (/ 1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (/ 1 x)) 1)) (+ (* (/ (exp (/ 1 x)) (- (exp (/ 1 x)) 1)) (/ 0 (- (exp (/ 1 x)) 1))) (* 0 (/ 0 (- (exp (/ 1 x)) 1))) (* 0 (/ 0 (- (exp (/ 1 x)) 1))) (* 0 (/ 0 (- (exp (/ 1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (/ 1 x)) 1)) (+ (* (/ (exp (/ 1 x)) (- (exp (/ 1 x)) 1)) (/ 0 (- (exp (/ 1 x)) 1))) (* 0 (/ 0 (- (exp (/ 1 x)) 1))) (* 0 (/ 0 (- (exp (/ 1 x)) 1))) (* 0 (/ 0 (- (exp (/ 1 x)) 1))) (* 0 (/ 0 (- (exp (/ 1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (/ 1 x)) 1)) (+ (* (/ (exp (/ 1 x)) (- (exp (/ 1 x)) 1)) (/ 0 (- (exp (/ 1 x)) 1))) (* 0 (/ 0 (- (exp (/ 1 x)) 1))) (* 0 (/ 0 (- (exp (/ 1 x)) 1))) (* 0 (/ 0 (- (exp (/ 1 x)) 1))) (* 0 (/ 0 (- (exp (/ 1 x)) 1))) (* 0 (/ 0 (- (exp (/ 1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (exp (/ 1 (/ 1 x))) (- (exp (/ 1 (/ 1 x))) 1)) into (/ (exp x) (- (exp x) 1)) * [misc]approximate: Taking taylor expansion of (/ (exp (/ 1 (- x))) (- (exp (/ 1 (- x))) 1)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (exp (/ 1 (- x))) (- (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 (- (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 (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ -1 x)) -1) into (- (exp (/ -1 x)) 1) * [misc]backup-simplify: Simplify (/ (exp (/ -1 x)) (- (exp (/ -1 x)) 1)) into (/ (exp (/ -1 x)) (- (exp (/ -1 x)) 1)) * [misc]taylor: Taking taylor expansion of (/ (exp (/ 1 (- x))) (- (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 (- (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 (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ -1 x)) -1) into (- (exp (/ -1 x)) 1) * [misc]backup-simplify: Simplify (/ (exp (/ -1 x)) (- (exp (/ -1 x)) 1)) into (/ (exp (/ -1 x)) (- (exp (/ -1 x)) 1)) * [misc]backup-simplify: Simplify (/ (exp (/ -1 x)) (- (exp (/ -1 x)) 1)) into (/ (exp (/ -1 x)) (- (exp (/ -1 x)) 1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (/ -1 x)) 1)) (+ (* (/ (exp (/ -1 x)) (- (exp (/ -1 x)) 1)) (/ 0 (- (exp (/ -1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (/ -1 x)) 1)) (+ (* (/ (exp (/ -1 x)) (- (exp (/ -1 x)) 1)) (/ 0 (- (exp (/ -1 x)) 1))) (* 0 (/ 0 (- (exp (/ -1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (/ -1 x)) 1)) (+ (* (/ (exp (/ -1 x)) (- (exp (/ -1 x)) 1)) (/ 0 (- (exp (/ -1 x)) 1))) (* 0 (/ 0 (- (exp (/ -1 x)) 1))) (* 0 (/ 0 (- (exp (/ -1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (/ -1 x)) 1)) (+ (* (/ (exp (/ -1 x)) (- (exp (/ -1 x)) 1)) (/ 0 (- (exp (/ -1 x)) 1))) (* 0 (/ 0 (- (exp (/ -1 x)) 1))) (* 0 (/ 0 (- (exp (/ -1 x)) 1))) (* 0 (/ 0 (- (exp (/ -1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (/ -1 x)) 1)) (+ (* (/ (exp (/ -1 x)) (- (exp (/ -1 x)) 1)) (/ 0 (- (exp (/ -1 x)) 1))) (* 0 (/ 0 (- (exp (/ -1 x)) 1))) (* 0 (/ 0 (- (exp (/ -1 x)) 1))) (* 0 (/ 0 (- (exp (/ -1 x)) 1))) (* 0 (/ 0 (- (exp (/ -1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (/ -1 x)) 1)) (+ (* (/ (exp (/ -1 x)) (- (exp (/ -1 x)) 1)) (/ 0 (- (exp (/ -1 x)) 1))) (* 0 (/ 0 (- (exp (/ -1 x)) 1))) (* 0 (/ 0 (- (exp (/ -1 x)) 1))) (* 0 (/ 0 (- (exp (/ -1 x)) 1))) (* 0 (/ 0 (- (exp (/ -1 x)) 1))) (* 0 (/ 0 (- (exp (/ -1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (exp (/ -1 (/ 1 (- x)))) (- (exp (/ -1 (/ 1 (- x)))) 1)) into (/ (exp x) (- (exp x) 1)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 51 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 51 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 51 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 51 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 51 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 51 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 51 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 51 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 51 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 51 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 51 ] 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 (+ 1 (sqrt (exp x))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (/ (exp x) (* (+ 1 (sqrt (exp x))) (- (sqrt (exp x)) 1)))) * * * * [misc]progress: [ 12 / 51 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 51 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (- x (log (- (exp x) 1))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (- x (log (- (exp x) 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (exp (- x (log (- (exp x) 1))))) * * * * [misc]progress: [ 15 / 51 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 51 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (exp x) (exp x)) (exp x)) (* (* (- (exp x) 1) (- (exp x) 1)) (- (exp x) 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (177 enodes) * * [misc]simplify: iters left: 2 (446 enodes) * [exit]simplify: Simplified to (pow (/ (exp x) (- (exp x) 1)) 3) * [misc]simplify: Simplified (2 1) to (λ (x) (cbrt (pow (/ (exp x) (- (exp x) 1)) 3))) * * * * [misc]progress: [ 18 / 51 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 51 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 51 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 51 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (exp x)) (cbrt (exp x))) (* (cbrt (- (exp x) 1)) (cbrt (- (exp x) 1)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (exp x)) (cbrt (- (exp x) 1))) (/ (cbrt (exp x)) (cbrt (- (exp x) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (cbrt (exp x)) (cbrt (- (exp x) 1))) (/ (cbrt (exp x)) (cbrt (- (exp x) 1)))) (/ (cbrt (exp x)) (cbrt (- (exp x) 1))))) * [enter]simplify: Simplifying (/ (cbrt (exp x)) (cbrt (- (exp x) 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (/ (cbrt (exp x)) (cbrt (- (exp x) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (cbrt (exp x)) (cbrt (exp x))) (* (cbrt (- (exp x) 1)) (cbrt (- (exp x) 1)))) (/ (cbrt (exp x)) (cbrt (- (exp x) 1))))) * * * * [misc]progress: [ 23 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (- (exp x) 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (- (exp x) 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (- (exp x) 1))) (/ (cbrt (exp x)) (sqrt (- (exp x) 1))))) * [enter]simplify: Simplifying (/ (cbrt (exp x)) (sqrt (- (exp x) 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (/ (cbrt (exp x)) (sqrt (- (exp x) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (- (exp x) 1))) (/ (cbrt (exp x)) (sqrt (- (exp x) 1))))) * * * * [misc]progress: [ 24 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (exp x)) (cbrt (exp x))) 1) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * [exit]simplify: Simplified to (* (cbrt (exp x)) (cbrt (exp x))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (cbrt (exp x)) (cbrt (exp x))) (/ (cbrt (exp x)) (- (exp x) 1)))) * [enter]simplify: Simplifying (/ (cbrt (exp x)) (- (exp x) 1)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (/ (cbrt (exp x)) (- (exp x) 1)) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (cbrt (exp x)) (cbrt (exp x))) (/ (cbrt (exp x)) (- (exp x) 1)))) * * * * [misc]progress: [ 25 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (exp x)) (cbrt (exp x))) (+ (sqrt (exp x)) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (exp x)) (cbrt (exp x))) (+ 1 (sqrt (exp x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (cbrt (exp x)) (cbrt (exp x))) (+ 1 (sqrt (exp x)))) (/ (cbrt (exp x)) (- (sqrt (exp x)) 1)))) * [enter]simplify: Simplifying (/ (cbrt (exp x)) (- (sqrt (exp x)) 1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (/ (cbrt (exp x)) (- (sqrt (exp x)) 1)) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (cbrt (exp x)) (cbrt (exp x))) (+ (sqrt (exp x)) 1)) (/ (cbrt (exp x)) (- (sqrt (exp x)) 1)))) * * * * [misc]progress: [ 26 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (exp x)) (* (cbrt (- (exp x) 1)) (cbrt (- (exp x) 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (exp x)) (cbrt (- (exp x) 1))) (cbrt (- (exp x) 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (sqrt (exp x)) (cbrt (- (exp x) 1))) (cbrt (- (exp x) 1))) (/ (sqrt (exp x)) (cbrt (- (exp x) 1))))) * [enter]simplify: Simplifying (/ (sqrt (exp x)) (cbrt (- (exp x) 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (/ (sqrt (exp x)) (cbrt (- (exp x) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (exp x)) (* (cbrt (- (exp x) 1)) (cbrt (- (exp x) 1)))) (/ (sqrt (exp x)) (cbrt (- (exp x) 1))))) * * * * [misc]progress: [ 27 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (exp x)) (sqrt (- (exp x) 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (/ (sqrt (exp x)) (sqrt (- (exp x) 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (exp x)) (sqrt (- (exp x) 1))) (/ (sqrt (exp x)) (sqrt (- (exp x) 1))))) * [enter]simplify: Simplifying (/ (sqrt (exp x)) (sqrt (- (exp x) 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (/ (sqrt (exp x)) (sqrt (- (exp x) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (exp x)) (sqrt (- (exp x) 1))) (/ (sqrt (exp x)) (sqrt (- (exp x) 1))))) * * * * [misc]progress: [ 28 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (exp x)) 1) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (sqrt (exp x)) * [misc]simplify: Simplified (2 1) to (λ (x) (* (sqrt (exp x)) (/ (sqrt (exp x)) (- (exp x) 1)))) * [enter]simplify: Simplifying (/ (sqrt (exp x)) (- (exp x) 1)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (/ (sqrt (exp x)) (- (exp x) 1)) * [misc]simplify: Simplified (2 2) to (λ (x) (* (sqrt (exp x)) (/ (sqrt (exp x)) (- (exp x) 1)))) * * * * [misc]progress: [ 29 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (exp x)) (+ (sqrt (exp x)) 1)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ (sqrt (exp x)) (+ 1 (sqrt (exp x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (exp x)) (+ 1 (sqrt (exp x)))) (/ (sqrt (exp x)) (- (sqrt (exp x)) 1)))) * [enter]simplify: Simplifying (/ (sqrt (exp x)) (- (sqrt (exp x)) 1)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (/ (sqrt (exp x)) (- (sqrt (exp x)) 1)) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (exp x)) (+ (sqrt (exp x)) 1)) (/ (sqrt (exp x)) (- (sqrt (exp x)) 1)))) * * * * [misc]progress: [ 30 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (- (exp x) 1)) (cbrt (- (exp x) 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (- (exp x) 1))) (cbrt (- (exp x) 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ 1 (cbrt (- (exp x) 1))) (cbrt (- (exp x) 1))) (/ (exp x) (cbrt (- (exp x) 1))))) * [enter]simplify: Simplifying (/ (exp x) (cbrt (- (exp x) 1))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (/ (exp x) (cbrt (- (exp x) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ 1 (* (cbrt (- (exp x) 1)) (cbrt (- (exp x) 1)))) (/ (exp x) (cbrt (- (exp x) 1))))) * * * * [misc]progress: [ 31 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (- (exp x) 1))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (- (exp x) 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ 1 (sqrt (- (exp x) 1))) (/ (exp x) (sqrt (- (exp x) 1))))) * [enter]simplify: Simplifying (/ (exp x) (sqrt (- (exp x) 1))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (/ (exp x) (sqrt (- (exp x) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ 1 (sqrt (- (exp x) 1))) (/ (exp x) (sqrt (- (exp x) 1))))) * * * * [misc]progress: [ 32 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (x) (* 1 (/ (exp x) (- (exp x) 1)))) * [enter]simplify: Simplifying (/ (exp x) (- (exp x) 1)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (/ (exp x) (- (exp x) 1)) * [misc]simplify: Simplified (2 2) to (λ (x) (* 1 (/ (exp x) (- (exp x) 1)))) * * * * [misc]progress: [ 33 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (+ (sqrt (exp x)) 1)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ 1 (+ (sqrt (exp x)) 1)) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ 1 (+ (sqrt (exp x)) 1)) (/ (exp x) (- (sqrt (exp x)) 1)))) * [enter]simplify: Simplifying (/ (exp x) (- (sqrt (exp x)) 1)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (/ (exp x) (- (sqrt (exp x)) 1)) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ 1 (+ (sqrt (exp x)) 1)) (/ (exp x) (- (sqrt (exp x)) 1)))) * * * * [misc]progress: [ 34 / 51 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 51 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 51 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (exp x) 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * [exit]simplify: Simplified to (cbrt (- (exp x) 1)) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (/ (exp x) (* (cbrt (- (exp x) 1)) (cbrt (- (exp x) 1)))) (cbrt (- (exp x) 1)))) * * * * [misc]progress: [ 38 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (exp x) 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * [exit]simplify: Simplified to (sqrt (- (exp x) 1)) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (/ (exp x) (sqrt (- (exp x) 1))) (sqrt (- (exp x) 1)))) * * * * [misc]progress: [ 39 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (- (exp x) 1) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (9 enodes) * [exit]simplify: Simplified to (- (exp x) 1) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (/ (exp x) 1) (- (exp x) 1))) * * * * [misc]progress: [ 40 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqrt (exp x)) 1) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * [exit]simplify: Simplified to (- (sqrt (exp x)) 1) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (/ (exp x) (+ (sqrt (exp x)) 1)) (- (sqrt (exp x)) 1))) * * * * [misc]progress: [ 41 / 51 ] 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) to (λ (x) (/ (* (cbrt (exp x)) (cbrt (exp x))) (/ (- (exp x) 1) (cbrt (exp x))))) * * * * [misc]progress: [ 42 / 51 ] 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) to (λ (x) (/ (sqrt (exp x)) (/ (- (exp x) 1) (sqrt (exp x))))) * * * * [misc]progress: [ 43 / 51 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (exp x) (exp x)) (+ (* 1 1) (* (exp x) 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (67 enodes) * [exit]simplify: Simplified to (+ (exp (+ x x)) (+ 1 (exp x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (exp x) (- (pow (exp x) 3) (pow 1 3))) (+ (exp (+ x x)) (+ 1 (exp x))))) * * * * [misc]progress: [ 45 / 51 ] 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 2) to (λ (x) (* (/ (exp x) (- (* (exp x) (exp x)) (* 1 1))) (+ (exp x) 1))) * * * * [misc]progress: [ 46 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (113 enodes) * * [misc]simplify: iters left: 1 (182 enodes) * [exit]simplify: Simplified to (+ x (* (+ (* x 1/6) 1/2) (* x x))) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (exp x) (+ x (* (+ (* x 1/6) 1/2) (* x x))))) * * * * [misc]progress: [ 47 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (- (exp x) 1) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (9 enodes) * [exit]simplify: Simplified to (- (exp x) 1) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (exp x) (- (exp x) 1))) * * * * [misc]progress: [ 48 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (- (exp x) 1) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (9 enodes) * [exit]simplify: Simplified to (- (exp x) 1) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (exp x) (- (exp x) 1))) * * * * [misc]progress: [ 49 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/12 x) (+ (/ 1 x) 1/2)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (+ (+ 1/2 (* 1/12 x)) (/ 1 x)) * [misc]simplify: Simplified (2) to (λ (x) (+ (+ 1/2 (* 1/12 x)) (/ 1 x))) * * * * [misc]progress: [ 50 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp x) (- (exp x) 1)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (/ (exp x) (- (exp x) 1)) * [misc]simplify: Simplified (2) to (λ (x) (/ (exp x) (- (exp x) 1))) * * * * [misc]progress: [ 51 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp x) (- (exp x) 1)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (/ (exp x) (- (exp x) 1)) * [misc]simplify: Simplified (2) to (λ (x) (/ (exp x) (- (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 / 3 ] rewriting at (2 1) * * * * [misc]progress: [ 2 / 3 ] rewriting at (2) * * * * [misc]progress: [ 3 / 3 ] rewriting at (2 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 3 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (* 1/12 x) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* 1/12 x) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 1/12 x) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/12 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 1) (* 0 0)) into 1/12 * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/12 x) into (* 1/12 x) * [misc]approximate: Taking taylor expansion of (* 1/12 (/ 1 x)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* 1/12 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 1/12 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1/12 1) into 1/12 * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/12 (/ 1 (/ 1 x))) into (* 1/12 x) * [misc]approximate: Taking taylor expansion of (* 1/12 (/ 1 (- x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* 1/12 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* 1/12 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* 1/12 -1) into -1/12 * [misc]backup-simplify: Simplify -1/12 into -1/12 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -1/12 (/ 1 (/ 1 (- x)))) into (* 1/12 x) * * * * [misc]progress: [ 2 / 3 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (+ (* 1/12 x) (+ (/ 1 x) 1/2)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (+ (* 1/12 x) (+ (/ 1 x) 1/2)) in x * [misc]taylor: Taking taylor expansion of (* 1/12 x) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) 1/2) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ (* 1/12 x) (+ (/ 1 x) 1/2)) in x * [misc]taylor: Taking taylor expansion of (* 1/12 x) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) 1/2) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/12 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ (* 1/12 1) (* 0 0)) into 1/12 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 1/12 0) into 1/12 * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]backup-simplify: Simplify (+ (* 1/12 x) (+ 1/2 (* 1 (/ 1 x)))) into (+ (* 1/12 x) (+ (/ 1 x) 1/2)) * [misc]approximate: Taking taylor expansion of (+ (* 1/12 (/ 1 x)) (+ (/ 1 (/ 1 x)) 1/2)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (+ (* 1/12 (/ 1 x)) (+ (/ 1 (/ 1 x)) 1/2)) in x * [misc]taylor: Taking taylor expansion of (* 1/12 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (/ 1 x)) 1/2) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ (* 1/12 (/ 1 x)) (+ (/ 1 (/ 1 x)) 1/2)) in x * [misc]taylor: Taking taylor expansion of (* 1/12 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (/ 1 x)) 1/2) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* 1/12 1) into 1/12 * [misc]backup-simplify: Simplify (+ 1/12 0) into 1/12 * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ 1 x)) (+ 1/2 (* 1/12 (/ 1 (/ 1 x))))) into (+ (* 1/12 x) (+ (/ 1 x) 1/2)) * [misc]approximate: Taking taylor expansion of (+ (* 1/12 (/ 1 (- x))) (+ (/ 1 (/ 1 (- x))) 1/2)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (+ (* 1/12 (/ 1 (- x))) (+ (/ 1 (/ 1 (- x))) 1/2)) in x * [misc]taylor: Taking taylor expansion of (* 1/12 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (/ 1 (- x))) 1/2) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ (* 1/12 (/ 1 (- x))) (+ (/ 1 (/ 1 (- x))) 1/2)) in x * [misc]taylor: Taking taylor expansion of (* 1/12 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (/ 1 (- x))) 1/2) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* 1/12 -1) into -1/12 * [misc]backup-simplify: Simplify (+ -1/12 0) into -1/12 * [misc]backup-simplify: Simplify -1/12 into -1/12 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (+ (* -1 (/ 1 (- x))) (+ 1/2 (* -1/12 (/ 1 (/ 1 (- x)))))) into (+ (* 1/12 x) (+ (/ 1 x) 1/2)) * * * * [misc]progress: [ 3 / 3 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (+ (/ 1 x) 1/2) in (x) around 0 * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) 1/2) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) 1/2) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 1/2 (* 1 (/ 1 x))) into (+ (/ 1 x) 1/2) * [misc]approximate: Taking taylor expansion of (+ (/ 1 (/ 1 x)) 1/2) in (x) around 0 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (/ 1 x)) 1/2) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (/ 1 x)) 1/2) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ 1 x)) 1/2) into (+ (/ 1 x) 1/2) * [misc]approximate: Taking taylor expansion of (+ (/ 1 (/ 1 (- x))) 1/2) in (x) around 0 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (/ 1 (- x))) 1/2) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (/ 1 (- x))) 1/2) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ 1 (- x))) 1/2) into (+ (/ 1 x) 1/2) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 39 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 39 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 39 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 39 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 39 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 39 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 39 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 39 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (* (exp (* 1/12 x)) (exp (+ (/ 1 x) 1/2))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * [exit]simplify: Simplified to (exp (+ (+ (/ 1 x) (* 1/12 x)) 1/2)) * [misc]simplify: Simplified (2 1) to (λ (x) (log (exp (+ (+ (/ 1 x) (* 1/12 x)) 1/2)))) * * * * [misc]progress: [ 10 / 39 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 39 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 39 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 39 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 39 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 39 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 39 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 39 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 39 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 39 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 39 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 39 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 39 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 39 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 39 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 39 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 39 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 39 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 39 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 39 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 39 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1/12 x) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (* 1/12 x) * [misc]simplify: Simplified (2 1) to (λ (x) (+ (* 1/12 x) (+ (/ 1 x) 1/2))) * * * * [misc]progress: [ 32 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1/12 x) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (* 1/12 x) * [misc]simplify: Simplified (2 1) to (λ (x) (+ (* 1/12 x) (+ (/ 1 x) 1/2))) * * * * [misc]progress: [ 33 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1/12 x) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (* 1/12 x) * [misc]simplify: Simplified (2 1) to (λ (x) (+ (* 1/12 x) (+ (/ 1 x) 1/2))) * * * * [misc]progress: [ 34 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/12 x) (+ (/ 1 x) 1/2)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (+ (+ 1/2 (* 1/12 x)) (/ 1 x)) * [misc]simplify: Simplified (2) to (λ (x) (+ (+ 1/2 (* 1/12 x)) (/ 1 x))) * * * * [misc]progress: [ 35 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/12 x) (+ (/ 1 x) 1/2)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (+ (+ 1/2 (* 1/12 x)) (/ 1 x)) * [misc]simplify: Simplified (2) to (λ (x) (+ (+ 1/2 (* 1/12 x)) (/ 1 x))) * * * * [misc]progress: [ 36 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/12 x) (+ (/ 1 x) 1/2)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (+ (+ 1/2 (* 1/12 x)) (/ 1 x)) * [misc]simplify: Simplified (2) to (λ (x) (+ (+ 1/2 (* 1/12 x)) (/ 1 x))) * * * * [misc]progress: [ 37 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (/ 1 x) 1/2) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (+ 1/2 (/ 1 x)) * [misc]simplify: Simplified (2 2) to (λ (x) (+ (* 1/12 x) (+ 1/2 (/ 1 x)))) * * * * [misc]progress: [ 38 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (/ 1 x) 1/2) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (+ 1/2 (/ 1 x)) * [misc]simplify: Simplified (2 2) to (λ (x) (+ (* 1/12 x) (+ 1/2 (/ 1 x)))) * * * * [misc]progress: [ 39 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (/ 1 x) 1/2) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (+ 1/2 (/ 1 x)) * [misc]simplify: Simplified (2 2) to (λ (x) (+ (* 1/12 x) (+ 1/2 (/ 1 x)))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 3 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 1 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 1) * [misc]approximate: Taking taylor expansion of (- (* (exp x) (exp x)) (* 1 1)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (- (* (exp x) (exp x)) (* 1 1)) in x * [misc]taylor: Taking taylor expansion of (* (exp x) (exp x)) in x * [misc]taylor: Taking taylor expansion of (exp x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]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 1) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (* (exp x) (exp x)) (* 1 1)) in x * [misc]taylor: Taking taylor expansion of (* (exp x) (exp x)) in x * [misc]taylor: Taking taylor expansion of (exp x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]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 1) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (+ (* 1 1) (* 1 1)) into 2 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 2 0) into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1 1/2) (+ (* 1 1) (* 1/2 1))) into 2 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 2 0) into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 1/6 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 1/6 * [misc]backup-simplify: Simplify (+ (* 1 1/6) (+ (* 1 1/2) (+ (* 1/2 1) (* 1/6 1)))) into 4/3 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 4/3 0) into 4/3 * [misc]backup-simplify: Simplify 4/3 into 4/3 * [misc]backup-simplify: Simplify (+ (* 4/3 (pow x 3)) (+ (* 2 (pow x 2)) (* 2 x))) into (+ (* 2 x) (+ (* 4/3 (pow x 3)) (* 2 (pow x 2)))) * [misc]approximate: Taking taylor expansion of (- (* (exp (/ 1 x)) (exp (/ 1 x))) (* 1 1)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (- (* (exp (/ 1 x)) (exp (/ 1 x))) (* 1 1)) in x * [misc]taylor: Taking taylor expansion of (* (exp (/ 1 x)) (exp (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]taylor: Taking taylor expansion of (exp (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of 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 1) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (* (exp (/ 1 x)) (exp (/ 1 x))) (* 1 1)) in x * [misc]taylor: Taking taylor expansion of (* (exp (/ 1 x)) (exp (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]taylor: Taking taylor expansion of (exp (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of 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 1) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (exp (/ 1 x)) (exp (/ 1 x))) into (pow (exp (/ 1 x)) 2) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (pow (exp (/ 1 x)) 2) -1) into (- (pow (exp (/ 1 x)) 2) 1) * [misc]backup-simplify: Simplify (- (pow (exp (/ 1 x)) 2) 1) into (- (pow (exp (/ 1 x)) 2) 1) * [misc]backup-simplify: Simplify (+ (* (exp (/ 1 x)) 0) (* 0 (exp (/ 1 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (exp (/ 1 x)) 0) (+ (* 0 0) (* 0 (exp (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (exp (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (exp (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (exp (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (exp (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ 1 x))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (pow (exp (/ 1 (/ 1 x))) 2) 1) into (- (pow (exp x) 2) 1) * [misc]approximate: Taking taylor expansion of (- (* (exp (/ 1 (- x))) (exp (/ 1 (- x)))) (* 1 1)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (- (* (exp (/ 1 (- x))) (exp (/ 1 (- x)))) (* 1 1)) in x * [misc]taylor: Taking taylor expansion of (* (exp (/ 1 (- x))) (exp (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking 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 1) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (* (exp (/ 1 (- x))) (exp (/ 1 (- x)))) (* 1 1)) in x * [misc]taylor: Taking taylor expansion of (* (exp (/ 1 (- x))) (exp (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking 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 1) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (exp (/ -1 x)) (exp (/ -1 x))) into (pow (exp (/ -1 x)) 2) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (pow (exp (/ -1 x)) 2) -1) into (- (pow (exp (/ -1 x)) 2) 1) * [misc]backup-simplify: Simplify (- (pow (exp (/ -1 x)) 2) 1) into (- (pow (exp (/ -1 x)) 2) 1) * [misc]backup-simplify: Simplify (+ (* (exp (/ -1 x)) 0) (* 0 (exp (/ -1 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (exp (/ -1 x)) 0) (+ (* 0 0) (* 0 (exp (/ -1 x))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (exp (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (exp (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (exp (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ -1 x)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (exp (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ -1 x))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (pow (exp (/ -1 (/ 1 (- x)))) 2) 1) into (- (pow (exp x) 2) 1) * * * * [misc]progress: [ 2 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (/ (exp x) (/ (- (* (exp x) (exp x)) (* 1 1)) (+ (exp x) 1))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (exp x) (/ (- (* (exp x) (exp x)) (* 1 1)) (+ (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 (/ (- (* (exp x) (exp x)) (* 1 1)) (+ (exp x) 1)) in x * [misc]taylor: Taking taylor expansion of (- (* (exp x) (exp x)) (* 1 1)) in x * [misc]taylor: Taking taylor expansion of (* (exp x) (exp x)) in x * [misc]taylor: Taking taylor expansion of (exp x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]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 1) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 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 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (+ (* 1 1) (* 1 1)) into 2 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 2 0) into 2 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (/ 2 2) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (exp x) (/ (- (* (exp x) (exp x)) (* 1 1)) (+ (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 (/ (- (* (exp x) (exp x)) (* 1 1)) (+ (exp x) 1)) in x * [misc]taylor: Taking taylor expansion of (- (* (exp x) (exp x)) (* 1 1)) in x * [misc]taylor: Taking taylor expansion of (* (exp x) (exp x)) in x * [misc]taylor: Taking taylor expansion of (exp x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]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 1) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 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 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (+ (* 1 1) (* 1 1)) into 2 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 2 0) into 2 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (/ 2 2) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1 1/2) (+ (* 1 1) (* 1/2 1))) into 2 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 2 0) 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 (- (/ 2 2) (+ (* 1 (/ 1 2)))) into 1/2 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* 1 (/ 1/2 1)))) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 1/6 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 1/6 * [misc]backup-simplify: Simplify (+ (* 1 1/6) (+ (* 1 1/2) (+ (* 1/2 1) (* 1/6 1)))) into 4/3 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 4/3 0) into 4/3 * [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 (- (/ 4/3 2) (+ (* 1 (/ 1/2 2)) (* 1/2 (/ 1 2)))) into 1/6 * [misc]backup-simplify: Simplify (- (/ 1/2 1) (+ (* 1 (/ 1/6 1)) (* 1/2 (/ 1/2 1)))) into 1/12 * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]backup-simplify: Simplify (+ (* 1/12 x) (+ 1/2 (* 1 (/ 1 x)))) into (+ (* 1/12 x) (+ (/ 1 x) 1/2)) * [misc]approximate: Taking taylor expansion of (/ (exp (/ 1 x)) (/ (- (* (exp (/ 1 x)) (exp (/ 1 x))) (* 1 1)) (+ (exp (/ 1 x)) 1))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (exp (/ 1 x)) (/ (- (* (exp (/ 1 x)) (exp (/ 1 x))) (* 1 1)) (+ (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 (/ (- (* (exp (/ 1 x)) (exp (/ 1 x))) (* 1 1)) (+ (exp (/ 1 x)) 1)) in x * [misc]taylor: Taking taylor expansion of (- (* (exp (/ 1 x)) (exp (/ 1 x))) (* 1 1)) in x * [misc]taylor: Taking taylor expansion of (* (exp (/ 1 x)) (exp (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]taylor: Taking taylor expansion of (exp (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of 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 1) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 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)) (exp (/ 1 x))) into (pow (exp (/ 1 x)) 2) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (pow (exp (/ 1 x)) 2) -1) into (- (pow (exp (/ 1 x)) 2) 1) * [misc]backup-simplify: Simplify (+ (exp (/ 1 x)) 1) into (+ (exp (/ 1 x)) 1) * [misc]backup-simplify: Simplify (/ (- (pow (exp (/ 1 x)) 2) 1) (+ (exp (/ 1 x)) 1)) into (/ (- (pow (exp (/ 1 x)) 2) 1) (+ (exp (/ 1 x)) 1)) * [misc]backup-simplify: Simplify (/ (exp (/ 1 x)) (/ (- (pow (exp (/ 1 x)) 2) 1) (+ (exp (/ 1 x)) 1))) into (/ (* (exp (/ 1 x)) (+ (exp (/ 1 x)) 1)) (- (pow (exp (/ 1 x)) 2) 1)) * [misc]taylor: Taking taylor expansion of (/ (exp (/ 1 x)) (/ (- (* (exp (/ 1 x)) (exp (/ 1 x))) (* 1 1)) (+ (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 (/ (- (* (exp (/ 1 x)) (exp (/ 1 x))) (* 1 1)) (+ (exp (/ 1 x)) 1)) in x * [misc]taylor: Taking taylor expansion of (- (* (exp (/ 1 x)) (exp (/ 1 x))) (* 1 1)) in x * [misc]taylor: Taking taylor expansion of (* (exp (/ 1 x)) (exp (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]taylor: Taking taylor expansion of (exp (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of 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 1) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 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)) (exp (/ 1 x))) into (pow (exp (/ 1 x)) 2) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (pow (exp (/ 1 x)) 2) -1) into (- (pow (exp (/ 1 x)) 2) 1) * [misc]backup-simplify: Simplify (+ (exp (/ 1 x)) 1) into (+ (exp (/ 1 x)) 1) * [misc]backup-simplify: Simplify (/ (- (pow (exp (/ 1 x)) 2) 1) (+ (exp (/ 1 x)) 1)) into (/ (- (pow (exp (/ 1 x)) 2) 1) (+ (exp (/ 1 x)) 1)) * [misc]backup-simplify: Simplify (/ (exp (/ 1 x)) (/ (- (pow (exp (/ 1 x)) 2) 1) (+ (exp (/ 1 x)) 1))) into (/ (* (exp (/ 1 x)) (+ (exp (/ 1 x)) 1)) (- (pow (exp (/ 1 x)) 2) 1)) * [misc]backup-simplify: Simplify (/ (* (exp (/ 1 x)) (+ (exp (/ 1 x)) 1)) (- (pow (exp (/ 1 x)) 2) 1)) into (/ (* (exp (/ 1 x)) (+ (exp (/ 1 x)) 1)) (- (pow (exp (/ 1 x)) 2) 1)) * [misc]backup-simplify: Simplify (+ (* (exp (/ 1 x)) 0) (* 0 (exp (/ 1 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ 1 x)) 1)) (+ (* (/ (- (pow (exp (/ 1 x)) 2) 1) (+ (exp (/ 1 x)) 1)) (/ 0 (+ (exp (/ 1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ (- (pow (exp (/ 1 x)) 2) 1) (+ (exp (/ 1 x)) 1))) (+ (* (/ (* (exp (/ 1 x)) (+ (exp (/ 1 x)) 1)) (- (pow (exp (/ 1 x)) 2) 1)) (/ 0 (/ (- (pow (exp (/ 1 x)) 2) 1) (+ (exp (/ 1 x)) 1)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (exp (/ 1 x)) 0) (+ (* 0 0) (* 0 (exp (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ 1 x)) 1)) (+ (* (/ (- (pow (exp (/ 1 x)) 2) 1) (+ (exp (/ 1 x)) 1)) (/ 0 (+ (exp (/ 1 x)) 1))) (* 0 (/ 0 (+ (exp (/ 1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ (- (pow (exp (/ 1 x)) 2) 1) (+ (exp (/ 1 x)) 1))) (+ (* (/ (* (exp (/ 1 x)) (+ (exp (/ 1 x)) 1)) (- (pow (exp (/ 1 x)) 2) 1)) (/ 0 (/ (- (pow (exp (/ 1 x)) 2) 1) (+ (exp (/ 1 x)) 1)))) (* 0 (/ 0 (/ (- (pow (exp (/ 1 x)) 2) 1) (+ (exp (/ 1 x)) 1)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (exp (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ 1 x)) 1)) (+ (* (/ (- (pow (exp (/ 1 x)) 2) 1) (+ (exp (/ 1 x)) 1)) (/ 0 (+ (exp (/ 1 x)) 1))) (* 0 (/ 0 (+ (exp (/ 1 x)) 1))) (* 0 (/ 0 (+ (exp (/ 1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ (- (pow (exp (/ 1 x)) 2) 1) (+ (exp (/ 1 x)) 1))) (+ (* (/ (* (exp (/ 1 x)) (+ (exp (/ 1 x)) 1)) (- (pow (exp (/ 1 x)) 2) 1)) (/ 0 (/ (- (pow (exp (/ 1 x)) 2) 1) (+ (exp (/ 1 x)) 1)))) (* 0 (/ 0 (/ (- (pow (exp (/ 1 x)) 2) 1) (+ (exp (/ 1 x)) 1)))) (* 0 (/ 0 (/ (- (pow (exp (/ 1 x)) 2) 1) (+ (exp (/ 1 x)) 1)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (exp (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ 1 x)) 1)) (+ (* (/ (- (pow (exp (/ 1 x)) 2) 1) (+ (exp (/ 1 x)) 1)) (/ 0 (+ (exp (/ 1 x)) 1))) (* 0 (/ 0 (+ (exp (/ 1 x)) 1))) (* 0 (/ 0 (+ (exp (/ 1 x)) 1))) (* 0 (/ 0 (+ (exp (/ 1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ (- (pow (exp (/ 1 x)) 2) 1) (+ (exp (/ 1 x)) 1))) (+ (* (/ (* (exp (/ 1 x)) (+ (exp (/ 1 x)) 1)) (- (pow (exp (/ 1 x)) 2) 1)) (/ 0 (/ (- (pow (exp (/ 1 x)) 2) 1) (+ (exp (/ 1 x)) 1)))) (* 0 (/ 0 (/ (- (pow (exp (/ 1 x)) 2) 1) (+ (exp (/ 1 x)) 1)))) (* 0 (/ 0 (/ (- (pow (exp (/ 1 x)) 2) 1) (+ (exp (/ 1 x)) 1)))) (* 0 (/ 0 (/ (- (pow (exp (/ 1 x)) 2) 1) (+ (exp (/ 1 x)) 1)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (exp (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ 1 x)) 1)) (+ (* (/ (- (pow (exp (/ 1 x)) 2) 1) (+ (exp (/ 1 x)) 1)) (/ 0 (+ (exp (/ 1 x)) 1))) (* 0 (/ 0 (+ (exp (/ 1 x)) 1))) (* 0 (/ 0 (+ (exp (/ 1 x)) 1))) (* 0 (/ 0 (+ (exp (/ 1 x)) 1))) (* 0 (/ 0 (+ (exp (/ 1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ (- (pow (exp (/ 1 x)) 2) 1) (+ (exp (/ 1 x)) 1))) (+ (* (/ (* (exp (/ 1 x)) (+ (exp (/ 1 x)) 1)) (- (pow (exp (/ 1 x)) 2) 1)) (/ 0 (/ (- (pow (exp (/ 1 x)) 2) 1) (+ (exp (/ 1 x)) 1)))) (* 0 (/ 0 (/ (- (pow (exp (/ 1 x)) 2) 1) (+ (exp (/ 1 x)) 1)))) (* 0 (/ 0 (/ (- (pow (exp (/ 1 x)) 2) 1) (+ (exp (/ 1 x)) 1)))) (* 0 (/ 0 (/ (- (pow (exp (/ 1 x)) 2) 1) (+ (exp (/ 1 x)) 1)))) (* 0 (/ 0 (/ (- (pow (exp (/ 1 x)) 2) 1) (+ (exp (/ 1 x)) 1)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (exp (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ 1 x))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ 1 x)) 1)) (+ (* (/ (- (pow (exp (/ 1 x)) 2) 1) (+ (exp (/ 1 x)) 1)) (/ 0 (+ (exp (/ 1 x)) 1))) (* 0 (/ 0 (+ (exp (/ 1 x)) 1))) (* 0 (/ 0 (+ (exp (/ 1 x)) 1))) (* 0 (/ 0 (+ (exp (/ 1 x)) 1))) (* 0 (/ 0 (+ (exp (/ 1 x)) 1))) (* 0 (/ 0 (+ (exp (/ 1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ (- (pow (exp (/ 1 x)) 2) 1) (+ (exp (/ 1 x)) 1))) (+ (* (/ (* (exp (/ 1 x)) (+ (exp (/ 1 x)) 1)) (- (pow (exp (/ 1 x)) 2) 1)) (/ 0 (/ (- (pow (exp (/ 1 x)) 2) 1) (+ (exp (/ 1 x)) 1)))) (* 0 (/ 0 (/ (- (pow (exp (/ 1 x)) 2) 1) (+ (exp (/ 1 x)) 1)))) (* 0 (/ 0 (/ (- (pow (exp (/ 1 x)) 2) 1) (+ (exp (/ 1 x)) 1)))) (* 0 (/ 0 (/ (- (pow (exp (/ 1 x)) 2) 1) (+ (exp (/ 1 x)) 1)))) (* 0 (/ 0 (/ (- (pow (exp (/ 1 x)) 2) 1) (+ (exp (/ 1 x)) 1)))) (* 0 (/ 0 (/ (- (pow (exp (/ 1 x)) 2) 1) (+ (exp (/ 1 x)) 1)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (* (exp (/ 1 (/ 1 x))) (+ (exp (/ 1 (/ 1 x))) 1)) (- (pow (exp (/ 1 (/ 1 x))) 2) 1)) into (/ (* (exp x) (+ (exp x) 1)) (- (pow (exp x) 2) 1)) * [misc]approximate: Taking taylor expansion of (/ (exp (/ 1 (- x))) (/ (- (* (exp (/ 1 (- x))) (exp (/ 1 (- x)))) (* 1 1)) (+ (exp (/ 1 (- x))) 1))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (exp (/ 1 (- x))) (/ (- (* (exp (/ 1 (- x))) (exp (/ 1 (- x)))) (* 1 1)) (+ (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 (/ (- (* (exp (/ 1 (- x))) (exp (/ 1 (- x)))) (* 1 1)) (+ (exp (/ 1 (- x))) 1)) in x * [misc]taylor: Taking taylor expansion of (- (* (exp (/ 1 (- x))) (exp (/ 1 (- x)))) (* 1 1)) in x * [misc]taylor: Taking taylor expansion of (* (exp (/ 1 (- x))) (exp (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking 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 1) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 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)) (exp (/ -1 x))) into (pow (exp (/ -1 x)) 2) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (pow (exp (/ -1 x)) 2) -1) into (- (pow (exp (/ -1 x)) 2) 1) * [misc]backup-simplify: Simplify (+ (exp (/ -1 x)) 1) into (+ (exp (/ -1 x)) 1) * [misc]backup-simplify: Simplify (/ (- (pow (exp (/ -1 x)) 2) 1) (+ (exp (/ -1 x)) 1)) into (/ (- (pow (exp (/ -1 x)) 2) 1) (+ (exp (/ -1 x)) 1)) * [misc]backup-simplify: Simplify (/ (exp (/ -1 x)) (/ (- (pow (exp (/ -1 x)) 2) 1) (+ (exp (/ -1 x)) 1))) into (/ (* (+ (exp (/ -1 x)) 1) (exp (/ -1 x))) (- (pow (exp (/ -1 x)) 2) 1)) * [misc]taylor: Taking taylor expansion of (/ (exp (/ 1 (- x))) (/ (- (* (exp (/ 1 (- x))) (exp (/ 1 (- x)))) (* 1 1)) (+ (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 (/ (- (* (exp (/ 1 (- x))) (exp (/ 1 (- x)))) (* 1 1)) (+ (exp (/ 1 (- x))) 1)) in x * [misc]taylor: Taking taylor expansion of (- (* (exp (/ 1 (- x))) (exp (/ 1 (- x)))) (* 1 1)) in x * [misc]taylor: Taking taylor expansion of (* (exp (/ 1 (- x))) (exp (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking 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 1) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 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)) (exp (/ -1 x))) into (pow (exp (/ -1 x)) 2) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (pow (exp (/ -1 x)) 2) -1) into (- (pow (exp (/ -1 x)) 2) 1) * [misc]backup-simplify: Simplify (+ (exp (/ -1 x)) 1) into (+ (exp (/ -1 x)) 1) * [misc]backup-simplify: Simplify (/ (- (pow (exp (/ -1 x)) 2) 1) (+ (exp (/ -1 x)) 1)) into (/ (- (pow (exp (/ -1 x)) 2) 1) (+ (exp (/ -1 x)) 1)) * [misc]backup-simplify: Simplify (/ (exp (/ -1 x)) (/ (- (pow (exp (/ -1 x)) 2) 1) (+ (exp (/ -1 x)) 1))) into (/ (* (+ (exp (/ -1 x)) 1) (exp (/ -1 x))) (- (pow (exp (/ -1 x)) 2) 1)) * [misc]backup-simplify: Simplify (/ (* (+ (exp (/ -1 x)) 1) (exp (/ -1 x))) (- (pow (exp (/ -1 x)) 2) 1)) into (/ (* (+ (exp (/ -1 x)) 1) (exp (/ -1 x))) (- (pow (exp (/ -1 x)) 2) 1)) * [misc]backup-simplify: Simplify (+ (* (exp (/ -1 x)) 0) (* 0 (exp (/ -1 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ -1 x)) 1)) (+ (* (/ (- (pow (exp (/ -1 x)) 2) 1) (+ (exp (/ -1 x)) 1)) (/ 0 (+ (exp (/ -1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ (- (pow (exp (/ -1 x)) 2) 1) (+ (exp (/ -1 x)) 1))) (+ (* (/ (* (+ (exp (/ -1 x)) 1) (exp (/ -1 x))) (- (pow (exp (/ -1 x)) 2) 1)) (/ 0 (/ (- (pow (exp (/ -1 x)) 2) 1) (+ (exp (/ -1 x)) 1)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (exp (/ -1 x)) 0) (+ (* 0 0) (* 0 (exp (/ -1 x))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ -1 x)) 1)) (+ (* (/ (- (pow (exp (/ -1 x)) 2) 1) (+ (exp (/ -1 x)) 1)) (/ 0 (+ (exp (/ -1 x)) 1))) (* 0 (/ 0 (+ (exp (/ -1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ (- (pow (exp (/ -1 x)) 2) 1) (+ (exp (/ -1 x)) 1))) (+ (* (/ (* (+ (exp (/ -1 x)) 1) (exp (/ -1 x))) (- (pow (exp (/ -1 x)) 2) 1)) (/ 0 (/ (- (pow (exp (/ -1 x)) 2) 1) (+ (exp (/ -1 x)) 1)))) (* 0 (/ 0 (/ (- (pow (exp (/ -1 x)) 2) 1) (+ (exp (/ -1 x)) 1)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (exp (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ -1 x)) 1)) (+ (* (/ (- (pow (exp (/ -1 x)) 2) 1) (+ (exp (/ -1 x)) 1)) (/ 0 (+ (exp (/ -1 x)) 1))) (* 0 (/ 0 (+ (exp (/ -1 x)) 1))) (* 0 (/ 0 (+ (exp (/ -1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ (- (pow (exp (/ -1 x)) 2) 1) (+ (exp (/ -1 x)) 1))) (+ (* (/ (* (+ (exp (/ -1 x)) 1) (exp (/ -1 x))) (- (pow (exp (/ -1 x)) 2) 1)) (/ 0 (/ (- (pow (exp (/ -1 x)) 2) 1) (+ (exp (/ -1 x)) 1)))) (* 0 (/ 0 (/ (- (pow (exp (/ -1 x)) 2) 1) (+ (exp (/ -1 x)) 1)))) (* 0 (/ 0 (/ (- (pow (exp (/ -1 x)) 2) 1) (+ (exp (/ -1 x)) 1)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (exp (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ -1 x)) 1)) (+ (* (/ (- (pow (exp (/ -1 x)) 2) 1) (+ (exp (/ -1 x)) 1)) (/ 0 (+ (exp (/ -1 x)) 1))) (* 0 (/ 0 (+ (exp (/ -1 x)) 1))) (* 0 (/ 0 (+ (exp (/ -1 x)) 1))) (* 0 (/ 0 (+ (exp (/ -1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ (- (pow (exp (/ -1 x)) 2) 1) (+ (exp (/ -1 x)) 1))) (+ (* (/ (* (+ (exp (/ -1 x)) 1) (exp (/ -1 x))) (- (pow (exp (/ -1 x)) 2) 1)) (/ 0 (/ (- (pow (exp (/ -1 x)) 2) 1) (+ (exp (/ -1 x)) 1)))) (* 0 (/ 0 (/ (- (pow (exp (/ -1 x)) 2) 1) (+ (exp (/ -1 x)) 1)))) (* 0 (/ 0 (/ (- (pow (exp (/ -1 x)) 2) 1) (+ (exp (/ -1 x)) 1)))) (* 0 (/ 0 (/ (- (pow (exp (/ -1 x)) 2) 1) (+ (exp (/ -1 x)) 1)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (exp (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ -1 x)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ -1 x)) 1)) (+ (* (/ (- (pow (exp (/ -1 x)) 2) 1) (+ (exp (/ -1 x)) 1)) (/ 0 (+ (exp (/ -1 x)) 1))) (* 0 (/ 0 (+ (exp (/ -1 x)) 1))) (* 0 (/ 0 (+ (exp (/ -1 x)) 1))) (* 0 (/ 0 (+ (exp (/ -1 x)) 1))) (* 0 (/ 0 (+ (exp (/ -1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ (- (pow (exp (/ -1 x)) 2) 1) (+ (exp (/ -1 x)) 1))) (+ (* (/ (* (+ (exp (/ -1 x)) 1) (exp (/ -1 x))) (- (pow (exp (/ -1 x)) 2) 1)) (/ 0 (/ (- (pow (exp (/ -1 x)) 2) 1) (+ (exp (/ -1 x)) 1)))) (* 0 (/ 0 (/ (- (pow (exp (/ -1 x)) 2) 1) (+ (exp (/ -1 x)) 1)))) (* 0 (/ 0 (/ (- (pow (exp (/ -1 x)) 2) 1) (+ (exp (/ -1 x)) 1)))) (* 0 (/ 0 (/ (- (pow (exp (/ -1 x)) 2) 1) (+ (exp (/ -1 x)) 1)))) (* 0 (/ 0 (/ (- (pow (exp (/ -1 x)) 2) 1) (+ (exp (/ -1 x)) 1)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (exp (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ -1 x))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ -1 x)) 1)) (+ (* (/ (- (pow (exp (/ -1 x)) 2) 1) (+ (exp (/ -1 x)) 1)) (/ 0 (+ (exp (/ -1 x)) 1))) (* 0 (/ 0 (+ (exp (/ -1 x)) 1))) (* 0 (/ 0 (+ (exp (/ -1 x)) 1))) (* 0 (/ 0 (+ (exp (/ -1 x)) 1))) (* 0 (/ 0 (+ (exp (/ -1 x)) 1))) (* 0 (/ 0 (+ (exp (/ -1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ (- (pow (exp (/ -1 x)) 2) 1) (+ (exp (/ -1 x)) 1))) (+ (* (/ (* (+ (exp (/ -1 x)) 1) (exp (/ -1 x))) (- (pow (exp (/ -1 x)) 2) 1)) (/ 0 (/ (- (pow (exp (/ -1 x)) 2) 1) (+ (exp (/ -1 x)) 1)))) (* 0 (/ 0 (/ (- (pow (exp (/ -1 x)) 2) 1) (+ (exp (/ -1 x)) 1)))) (* 0 (/ 0 (/ (- (pow (exp (/ -1 x)) 2) 1) (+ (exp (/ -1 x)) 1)))) (* 0 (/ 0 (/ (- (pow (exp (/ -1 x)) 2) 1) (+ (exp (/ -1 x)) 1)))) (* 0 (/ 0 (/ (- (pow (exp (/ -1 x)) 2) 1) (+ (exp (/ -1 x)) 1)))) (* 0 (/ 0 (/ (- (pow (exp (/ -1 x)) 2) 1) (+ (exp (/ -1 x)) 1)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (* (+ (exp (/ -1 (/ 1 (- x)))) 1) (exp (/ -1 (/ 1 (- x))))) (- (pow (exp (/ -1 (/ 1 (- x)))) 2) 1)) into (/ (* (exp x) (+ (exp x) 1)) (- (pow (exp x) 2) 1)) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (/ (- (* (exp x) (exp x)) (* 1 1)) (+ (exp x) 1)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (* (exp x) (exp x)) (* 1 1)) (+ (exp x) 1)) in x * [misc]taylor: Taking taylor expansion of (- (* (exp x) (exp x)) (* 1 1)) in x * [misc]taylor: Taking taylor expansion of (* (exp x) (exp x)) in x * [misc]taylor: Taking taylor expansion of (exp x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]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 1) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 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 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (+ (* 1 1) (* 1 1)) into 2 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 2 0) into 2 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (/ 2 2) into 1 * [misc]taylor: Taking taylor expansion of (/ (- (* (exp x) (exp x)) (* 1 1)) (+ (exp x) 1)) in x * [misc]taylor: Taking taylor expansion of (- (* (exp x) (exp x)) (* 1 1)) in x * [misc]taylor: Taking taylor expansion of (* (exp x) (exp x)) in x * [misc]taylor: Taking taylor expansion of (exp x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]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 1) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 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 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (+ (* 1 1) (* 1 1)) into 2 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 2 0) into 2 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (/ 2 2) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1 1/2) (+ (* 1 1) (* 1/2 1))) into 2 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 2 0) 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 (- (/ 2 2) (+ (* 1 (/ 1 2)))) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 1/6 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 1/6 * [misc]backup-simplify: Simplify (+ (* 1 1/6) (+ (* 1 1/2) (+ (* 1/2 1) (* 1/6 1)))) into 4/3 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 4/3 0) into 4/3 * [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 (- (/ 4/3 2) (+ (* 1 (/ 1/2 2)) (* 1/2 (/ 1 2)))) into 1/6 * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]backup-simplify: Simplify (+ (* 1/6 (pow x 3)) (+ (* 1/2 (pow x 2)) (* 1 x))) into (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2)))) * [misc]approximate: Taking taylor expansion of (/ (- (* (exp (/ 1 x)) (exp (/ 1 x))) (* 1 1)) (+ (exp (/ 1 x)) 1)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (* (exp (/ 1 x)) (exp (/ 1 x))) (* 1 1)) (+ (exp (/ 1 x)) 1)) in x * [misc]taylor: Taking taylor expansion of (- (* (exp (/ 1 x)) (exp (/ 1 x))) (* 1 1)) in x * [misc]taylor: Taking taylor expansion of (* (exp (/ 1 x)) (exp (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]taylor: Taking taylor expansion of (exp (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of 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 1) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 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)) (exp (/ 1 x))) into (pow (exp (/ 1 x)) 2) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (pow (exp (/ 1 x)) 2) -1) into (- (pow (exp (/ 1 x)) 2) 1) * [misc]backup-simplify: Simplify (+ (exp (/ 1 x)) 1) into (+ (exp (/ 1 x)) 1) * [misc]backup-simplify: Simplify (/ (- (pow (exp (/ 1 x)) 2) 1) (+ (exp (/ 1 x)) 1)) into (/ (- (pow (exp (/ 1 x)) 2) 1) (+ (exp (/ 1 x)) 1)) * [misc]taylor: Taking taylor expansion of (/ (- (* (exp (/ 1 x)) (exp (/ 1 x))) (* 1 1)) (+ (exp (/ 1 x)) 1)) in x * [misc]taylor: Taking taylor expansion of (- (* (exp (/ 1 x)) (exp (/ 1 x))) (* 1 1)) in x * [misc]taylor: Taking taylor expansion of (* (exp (/ 1 x)) (exp (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]taylor: Taking taylor expansion of (exp (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of 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 1) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 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)) (exp (/ 1 x))) into (pow (exp (/ 1 x)) 2) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (pow (exp (/ 1 x)) 2) -1) into (- (pow (exp (/ 1 x)) 2) 1) * [misc]backup-simplify: Simplify (+ (exp (/ 1 x)) 1) into (+ (exp (/ 1 x)) 1) * [misc]backup-simplify: Simplify (/ (- (pow (exp (/ 1 x)) 2) 1) (+ (exp (/ 1 x)) 1)) into (/ (- (pow (exp (/ 1 x)) 2) 1) (+ (exp (/ 1 x)) 1)) * [misc]backup-simplify: Simplify (/ (- (pow (exp (/ 1 x)) 2) 1) (+ (exp (/ 1 x)) 1)) into (/ (- (pow (exp (/ 1 x)) 2) 1) (+ (exp (/ 1 x)) 1)) * [misc]backup-simplify: Simplify (+ (* (exp (/ 1 x)) 0) (* 0 (exp (/ 1 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ 1 x)) 1)) (+ (* (/ (- (pow (exp (/ 1 x)) 2) 1) (+ (exp (/ 1 x)) 1)) (/ 0 (+ (exp (/ 1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (exp (/ 1 x)) 0) (+ (* 0 0) (* 0 (exp (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ 1 x)) 1)) (+ (* (/ (- (pow (exp (/ 1 x)) 2) 1) (+ (exp (/ 1 x)) 1)) (/ 0 (+ (exp (/ 1 x)) 1))) (* 0 (/ 0 (+ (exp (/ 1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (exp (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ 1 x)) 1)) (+ (* (/ (- (pow (exp (/ 1 x)) 2) 1) (+ (exp (/ 1 x)) 1)) (/ 0 (+ (exp (/ 1 x)) 1))) (* 0 (/ 0 (+ (exp (/ 1 x)) 1))) (* 0 (/ 0 (+ (exp (/ 1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (exp (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ 1 x)) 1)) (+ (* (/ (- (pow (exp (/ 1 x)) 2) 1) (+ (exp (/ 1 x)) 1)) (/ 0 (+ (exp (/ 1 x)) 1))) (* 0 (/ 0 (+ (exp (/ 1 x)) 1))) (* 0 (/ 0 (+ (exp (/ 1 x)) 1))) (* 0 (/ 0 (+ (exp (/ 1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (exp (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ 1 x)) 1)) (+ (* (/ (- (pow (exp (/ 1 x)) 2) 1) (+ (exp (/ 1 x)) 1)) (/ 0 (+ (exp (/ 1 x)) 1))) (* 0 (/ 0 (+ (exp (/ 1 x)) 1))) (* 0 (/ 0 (+ (exp (/ 1 x)) 1))) (* 0 (/ 0 (+ (exp (/ 1 x)) 1))) (* 0 (/ 0 (+ (exp (/ 1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (exp (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ 1 x))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ 1 x)) 1)) (+ (* (/ (- (pow (exp (/ 1 x)) 2) 1) (+ (exp (/ 1 x)) 1)) (/ 0 (+ (exp (/ 1 x)) 1))) (* 0 (/ 0 (+ (exp (/ 1 x)) 1))) (* 0 (/ 0 (+ (exp (/ 1 x)) 1))) (* 0 (/ 0 (+ (exp (/ 1 x)) 1))) (* 0 (/ 0 (+ (exp (/ 1 x)) 1))) (* 0 (/ 0 (+ (exp (/ 1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- (pow (exp (/ 1 (/ 1 x))) 2) 1) (+ (exp (/ 1 (/ 1 x))) 1)) into (/ (- (pow (exp x) 2) 1) (+ (exp x) 1)) * [misc]approximate: Taking taylor expansion of (/ (- (* (exp (/ 1 (- x))) (exp (/ 1 (- x)))) (* 1 1)) (+ (exp (/ 1 (- x))) 1)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (* (exp (/ 1 (- x))) (exp (/ 1 (- x)))) (* 1 1)) (+ (exp (/ 1 (- x))) 1)) in x * [misc]taylor: Taking taylor expansion of (- (* (exp (/ 1 (- x))) (exp (/ 1 (- x)))) (* 1 1)) in x * [misc]taylor: Taking taylor expansion of (* (exp (/ 1 (- x))) (exp (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking 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 1) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 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)) (exp (/ -1 x))) into (pow (exp (/ -1 x)) 2) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (pow (exp (/ -1 x)) 2) -1) into (- (pow (exp (/ -1 x)) 2) 1) * [misc]backup-simplify: Simplify (+ (exp (/ -1 x)) 1) into (+ (exp (/ -1 x)) 1) * [misc]backup-simplify: Simplify (/ (- (pow (exp (/ -1 x)) 2) 1) (+ (exp (/ -1 x)) 1)) into (/ (- (pow (exp (/ -1 x)) 2) 1) (+ (exp (/ -1 x)) 1)) * [misc]taylor: Taking taylor expansion of (/ (- (* (exp (/ 1 (- x))) (exp (/ 1 (- x)))) (* 1 1)) (+ (exp (/ 1 (- x))) 1)) in x * [misc]taylor: Taking taylor expansion of (- (* (exp (/ 1 (- x))) (exp (/ 1 (- x)))) (* 1 1)) in x * [misc]taylor: Taking taylor expansion of (* (exp (/ 1 (- x))) (exp (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking 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 1) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 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)) (exp (/ -1 x))) into (pow (exp (/ -1 x)) 2) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (pow (exp (/ -1 x)) 2) -1) into (- (pow (exp (/ -1 x)) 2) 1) * [misc]backup-simplify: Simplify (+ (exp (/ -1 x)) 1) into (+ (exp (/ -1 x)) 1) * [misc]backup-simplify: Simplify (/ (- (pow (exp (/ -1 x)) 2) 1) (+ (exp (/ -1 x)) 1)) into (/ (- (pow (exp (/ -1 x)) 2) 1) (+ (exp (/ -1 x)) 1)) * [misc]backup-simplify: Simplify (/ (- (pow (exp (/ -1 x)) 2) 1) (+ (exp (/ -1 x)) 1)) into (/ (- (pow (exp (/ -1 x)) 2) 1) (+ (exp (/ -1 x)) 1)) * [misc]backup-simplify: Simplify (+ (* (exp (/ -1 x)) 0) (* 0 (exp (/ -1 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ -1 x)) 1)) (+ (* (/ (- (pow (exp (/ -1 x)) 2) 1) (+ (exp (/ -1 x)) 1)) (/ 0 (+ (exp (/ -1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (exp (/ -1 x)) 0) (+ (* 0 0) (* 0 (exp (/ -1 x))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ -1 x)) 1)) (+ (* (/ (- (pow (exp (/ -1 x)) 2) 1) (+ (exp (/ -1 x)) 1)) (/ 0 (+ (exp (/ -1 x)) 1))) (* 0 (/ 0 (+ (exp (/ -1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (exp (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ -1 x)) 1)) (+ (* (/ (- (pow (exp (/ -1 x)) 2) 1) (+ (exp (/ -1 x)) 1)) (/ 0 (+ (exp (/ -1 x)) 1))) (* 0 (/ 0 (+ (exp (/ -1 x)) 1))) (* 0 (/ 0 (+ (exp (/ -1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (exp (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ -1 x)) 1)) (+ (* (/ (- (pow (exp (/ -1 x)) 2) 1) (+ (exp (/ -1 x)) 1)) (/ 0 (+ (exp (/ -1 x)) 1))) (* 0 (/ 0 (+ (exp (/ -1 x)) 1))) (* 0 (/ 0 (+ (exp (/ -1 x)) 1))) (* 0 (/ 0 (+ (exp (/ -1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (exp (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ -1 x)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ -1 x)) 1)) (+ (* (/ (- (pow (exp (/ -1 x)) 2) 1) (+ (exp (/ -1 x)) 1)) (/ 0 (+ (exp (/ -1 x)) 1))) (* 0 (/ 0 (+ (exp (/ -1 x)) 1))) (* 0 (/ 0 (+ (exp (/ -1 x)) 1))) (* 0 (/ 0 (+ (exp (/ -1 x)) 1))) (* 0 (/ 0 (+ (exp (/ -1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (exp (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ -1 x))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ -1 x)) 1)) (+ (* (/ (- (pow (exp (/ -1 x)) 2) 1) (+ (exp (/ -1 x)) 1)) (/ 0 (+ (exp (/ -1 x)) 1))) (* 0 (/ 0 (+ (exp (/ -1 x)) 1))) (* 0 (/ 0 (+ (exp (/ -1 x)) 1))) (* 0 (/ 0 (+ (exp (/ -1 x)) 1))) (* 0 (/ 0 (+ (exp (/ -1 x)) 1))) (* 0 (/ 0 (+ (exp (/ -1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- (pow (exp (/ -1 (/ 1 (- x)))) 2) 1) (+ (exp (/ -1 (/ 1 (- x)))) 1)) into (/ (- (pow (exp x) 2) 1) (+ (exp x) 1)) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 1 1) * [misc]approximate: Taking taylor expansion of (* (exp x) (exp x)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (exp x) (exp x)) in x * [misc]taylor: Taking taylor expansion of (exp x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (* (exp x) (exp x)) in x * [misc]taylor: Taking taylor expansion of (exp x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (+ (* 1 1) (* 1 1)) into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1 1/2) (+ (* 1 1) (* 1/2 1))) into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (* 2 (pow x 2)) (+ (* 2 x) 1)) into (+ (* 2 x) (+ (* 2 (pow x 2)) 1)) * [misc]approximate: Taking taylor expansion of (* (exp (/ 1 x)) (exp (/ 1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (exp (/ 1 x)) (exp (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]taylor: Taking taylor expansion of (exp (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]taylor: Taking taylor expansion of (* (exp (/ 1 x)) (exp (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]taylor: Taking taylor expansion of (exp (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]backup-simplify: Simplify (* (exp (/ 1 x)) (exp (/ 1 x))) into (pow (exp (/ 1 x)) 2) * [misc]backup-simplify: Simplify (pow (exp (/ 1 x)) 2) into (pow (exp (/ 1 x)) 2) * [misc]backup-simplify: Simplify (+ (* (exp (/ 1 x)) 0) (* 0 (exp (/ 1 x)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (exp (/ 1 x)) 0) (+ (* 0 0) (* 0 (exp (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (exp (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (exp (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (exp (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (exp (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ 1 x))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (exp (/ 1 (/ 1 x))) 2) into (pow (exp x) 2) * [misc]approximate: Taking taylor expansion of (* (exp (/ 1 (- x))) (exp (/ 1 (- x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (exp (/ 1 (- x))) (exp (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]taylor: Taking taylor expansion of (* (exp (/ 1 (- x))) (exp (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]backup-simplify: Simplify (* (exp (/ -1 x)) (exp (/ -1 x))) into (pow (exp (/ -1 x)) 2) * [misc]backup-simplify: Simplify (pow (exp (/ -1 x)) 2) into (pow (exp (/ -1 x)) 2) * [misc]backup-simplify: Simplify (+ (* (exp (/ -1 x)) 0) (* 0 (exp (/ -1 x)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (exp (/ -1 x)) 0) (+ (* 0 0) (* 0 (exp (/ -1 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (exp (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (exp (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (exp (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ -1 x)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (exp (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ -1 x))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (exp (/ -1 (/ 1 (- x)))) 2) into (pow (exp x) 2) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (* (exp x) (exp x))) (exp (* 1 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (103 enodes) * [exit]simplify: Simplified to (/ (exp (* (exp x) (exp x))) E) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (/ (exp x) (/ (log (/ (exp (* (exp x) (exp x))) E)) (+ (exp x) 1)))) * * * * [misc]progress: [ 2 / 171 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 171 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 171 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 171 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 171 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 171 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 171 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 171 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 171 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 171 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 171 ] 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 2 1 1) to (λ (x) (/ (exp x) (/ (* (+ (exp x) 1) (- (exp x) 1)) (+ (exp x) 1)))) * [enter]simplify: Simplifying (- (exp x) 1) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (9 enodes) * [exit]simplify: Simplified to (- (exp x) 1) * [misc]simplify: Simplified (2 2 1 2) to (λ (x) (/ (exp x) (/ (* (+ (exp x) 1) (- (exp x) 1)) (+ (exp x) 1)))) * * * * [misc]progress: [ 13 / 171 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 171 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (- x (- (log (- (* (exp x) (exp x)) (* 1 1))) (log (+ (exp x) 1)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (94 enodes) * * [misc]simplify: iters left: 1 (158 enodes) * [exit]simplify: Simplified to (- (- x 0) (log (- (exp x) 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (exp (- (- x 0) (log (- (exp x) 1))))) * * * * [misc]progress: [ 16 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (- x (log (/ (- (* (exp x) (exp x)) (* 1 1)) (+ (exp x) 1)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (98 enodes) * * [misc]simplify: iters left: 1 (211 enodes) * [exit]simplify: Simplified to (- x (log (- (exp x) 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (exp (- x (log (- (exp x) 1))))) * * * * [misc]progress: [ 17 / 171 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 171 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (exp x) (exp x)) (exp x)) (/ (* (* (- (* (exp x) (exp x)) (* 1 1)) (- (* (exp x) (exp x)) (* 1 1))) (- (* (exp x) (exp x)) (* 1 1))) (* (* (+ (exp x) 1) (+ (exp x) 1)) (+ (exp x) 1)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (154 enodes) * [exit]simplify: Simplified to (/ (* (* (pow (exp x) 3) (+ 1 (exp x))) (* (+ 1 (exp x)) (+ 1 (exp x)))) (pow (- (exp (+ x x)) 1) 3)) * [misc]simplify: Simplified (2 1) to (λ (x) (cbrt (/ (* (* (pow (exp x) 3) (+ 1 (exp x))) (* (+ 1 (exp x)) (+ 1 (exp x)))) (pow (- (exp (+ x x)) 1) 3)))) * * * * [misc]progress: [ 20 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (exp x) (exp x)) (exp x)) (* (* (/ (- (* (exp x) (exp x)) (* 1 1)) (+ (exp x) 1)) (/ (- (* (exp x) (exp x)) (* 1 1)) (+ (exp x) 1))) (/ (- (* (exp x) (exp x)) (* 1 1)) (+ (exp x) 1)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (118 enodes) * * [misc]simplify: iters left: 3 (484 enodes) * [exit]simplify: Simplified to (/ (/ (* (exp x) (exp x)) (* 1 (- (exp x) 1))) (/ (* 1 (- (exp x) 1)) (/ (* (exp x) 1) (- (exp x) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (cbrt (/ (/ (* (exp x) (exp x)) (* 1 (- (exp x) 1))) (/ (* 1 (- (exp x) 1)) (/ (* (exp x) 1) (- (exp x) 1)))))) * * * * [misc]progress: [ 21 / 171 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 171 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 171 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 171 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (exp x)) (cbrt (exp x))) (* (cbrt (/ (- (* (exp x) (exp x)) (* 1 1)) (+ (exp x) 1))) (cbrt (/ (- (* (exp x) (exp x)) (* 1 1)) (+ (exp x) 1))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (124 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (exp x)) (cbrt (- (exp x) 1))) (/ (cbrt (exp x)) (cbrt (- (exp x) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (cbrt (exp x)) (cbrt (- (exp x) 1))) (/ (cbrt (exp x)) (cbrt (- (exp x) 1)))) (/ (cbrt (exp x)) (cbrt (/ (- (* (exp x) (exp x)) (* 1 1)) (+ (exp x) 1)))))) * [enter]simplify: Simplifying (/ (cbrt (exp x)) (cbrt (/ (- (* (exp x) (exp x)) (* 1 1)) (+ (exp x) 1)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (101 enodes) * [exit]simplify: Simplified to (/ (cbrt (exp x)) (cbrt (- (exp x) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (cbrt (exp x)) (cbrt (- (exp x) 1))) (/ (cbrt (exp x)) (cbrt (- (exp x) 1)))) (/ (cbrt (exp x)) (cbrt (- (exp x) 1))))) * * * * [misc]progress: [ 26 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (/ (- (* (exp x) (exp x)) (* 1 1)) (+ (exp x) 1)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (107 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (- (exp x) 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (- (exp x) 1))) (/ (cbrt (exp x)) (sqrt (/ (- (* (exp x) (exp x)) (* 1 1)) (+ (exp x) 1)))))) * [enter]simplify: Simplifying (/ (cbrt (exp x)) (sqrt (/ (- (* (exp x) (exp x)) (* 1 1)) (+ (exp x) 1)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (101 enodes) * [exit]simplify: Simplified to (/ (cbrt (exp x)) (sqrt (- (exp x) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (- (exp x) 1))) (/ (cbrt (exp x)) (sqrt (- (exp x) 1))))) * * * * [misc]progress: [ 27 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (exp x)) (cbrt (exp x))) (/ (* (cbrt (- (* (exp x) (exp x)) (* 1 1))) (cbrt (- (* (exp x) (exp x)) (* 1 1)))) (* (cbrt (+ (exp x) 1)) (cbrt (+ (exp x) 1))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (137 enodes) * * [misc]simplify: iters left: 2 (283 enodes) * * [misc]simplify: iters left: 1 (423 enodes) * [exit]simplify: Simplified to (* (/ (* (cbrt (+ (exp x) 1)) (cbrt (exp x))) (cbrt (- (* (exp x) (exp x)) 1))) (/ (* (cbrt (+ (exp x) 1)) (cbrt (exp x))) (cbrt (- (* (exp x) (exp x)) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (* (cbrt (+ (exp x) 1)) (cbrt (exp x))) (cbrt (- (* (exp x) (exp x)) 1))) (/ (* (cbrt (+ (exp x) 1)) (cbrt (exp x))) (cbrt (- (* (exp x) (exp x)) 1)))) (/ (cbrt (exp x)) (/ (cbrt (- (* (exp x) (exp x)) (* 1 1))) (cbrt (+ (exp x) 1)))))) * [enter]simplify: Simplifying (/ (cbrt (exp x)) (/ (cbrt (- (* (exp x) (exp x)) (* 1 1))) (cbrt (+ (exp x) 1)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (73 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (exp x)) (cbrt (+ 1 (exp x)))) (cbrt (- (exp (+ x x)) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (* (cbrt (+ (exp x) 1)) (cbrt (exp x))) (cbrt (- (* (exp x) (exp x)) 1))) (/ (* (cbrt (+ (exp x) 1)) (cbrt (exp x))) (cbrt (- (* (exp x) (exp x)) 1)))) (/ (* (cbrt (exp x)) (cbrt (+ 1 (exp x)))) (cbrt (- (exp (+ x x)) 1))))) * * * * [misc]progress: [ 28 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (exp x)) (cbrt (exp x))) (/ (* (cbrt (- (* (exp x) (exp x)) (* 1 1))) (cbrt (- (* (exp x) (exp x)) (* 1 1)))) (sqrt (+ (exp x) 1)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (156 enodes) * * [misc]simplify: iters left: 1 (216 enodes) * [exit]simplify: Simplified to (/ (/ (* (sqrt (+ (exp x) 1)) (cbrt (exp x))) (cbrt (- (exp (+ x x)) 1))) (/ (cbrt (- (exp (+ x x)) 1)) (cbrt (exp x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (* (sqrt (+ (exp x) 1)) (cbrt (exp x))) (cbrt (- (exp (+ x x)) 1))) (/ (cbrt (- (exp (+ x x)) 1)) (cbrt (exp x)))) (/ (cbrt (exp x)) (/ (cbrt (- (* (exp x) (exp x)) (* 1 1))) (sqrt (+ (exp x) 1)))))) * [enter]simplify: Simplifying (/ (cbrt (exp x)) (/ (cbrt (- (* (exp x) (exp x)) (* 1 1))) (sqrt (+ (exp x) 1)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (73 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (exp x)) (sqrt (+ 1 (exp x)))) (cbrt (- (exp (+ x x)) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (* (sqrt (+ (exp x) 1)) (cbrt (exp x))) (cbrt (- (exp (+ x x)) 1))) (/ (cbrt (- (exp (+ x x)) 1)) (cbrt (exp x)))) (/ (* (cbrt (exp x)) (sqrt (+ 1 (exp x)))) (cbrt (- (exp (+ x x)) 1))))) * * * * [misc]progress: [ 29 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (exp x)) (cbrt (exp x))) (/ (* (cbrt (- (* (exp x) (exp x)) (* 1 1))) (cbrt (- (* (exp x) (exp x)) (* 1 1)))) 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (300 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (exp x)) (cbrt (- (exp (+ x x)) 1))) (/ (cbrt (exp x)) (cbrt (- (exp (+ x x)) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (cbrt (exp x)) (cbrt (- (exp (+ x x)) 1))) (/ (cbrt (exp x)) (cbrt (- (exp (+ x x)) 1)))) (/ (cbrt (exp x)) (/ (cbrt (- (* (exp x) (exp x)) (* 1 1))) (+ (exp x) 1))))) * [enter]simplify: Simplifying (/ (cbrt (exp x)) (/ (cbrt (- (* (exp x) (exp x)) (* 1 1))) (+ (exp x) 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (131 enodes) * * [misc]simplify: iters left: 1 (305 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (exp x)) (+ 1 (exp x))) (cbrt (- (* (exp x) (exp x)) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (cbrt (exp x)) (cbrt (- (exp (+ x x)) 1))) (/ (cbrt (exp x)) (cbrt (- (exp (+ x x)) 1)))) (/ (* (cbrt (exp x)) (+ 1 (exp x))) (cbrt (- (* (exp x) (exp x)) 1))))) * * * * [misc]progress: [ 30 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (exp x)) (cbrt (exp x))) (/ (sqrt (- (* (exp x) (exp x)) (* 1 1))) (* (cbrt (+ (exp x) 1)) (cbrt (+ (exp x) 1))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (123 enodes) * * [misc]simplify: iters left: 1 (181 enodes) * [exit]simplify: Simplified to (/ (* (* (cbrt (exp x)) (cbrt (+ 1 (exp x)))) (* (cbrt (exp x)) (cbrt (+ 1 (exp x))))) (sqrt (- (exp (+ x x)) 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (* (cbrt (exp x)) (cbrt (+ 1 (exp x)))) (* (cbrt (exp x)) (cbrt (+ 1 (exp x))))) (sqrt (- (exp (+ x x)) 1))) (/ (cbrt (exp x)) (/ (sqrt (- (* (exp x) (exp x)) (* 1 1))) (cbrt (+ (exp x) 1)))))) * [enter]simplify: Simplifying (/ (cbrt (exp x)) (/ (sqrt (- (* (exp x) (exp x)) (* 1 1))) (cbrt (+ (exp x) 1)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (73 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (exp x)) (cbrt (+ 1 (exp x)))) (sqrt (- (exp (+ x x)) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (* (cbrt (exp x)) (cbrt (+ 1 (exp x)))) (* (cbrt (exp x)) (cbrt (+ 1 (exp x))))) (sqrt (- (exp (+ x x)) 1))) (/ (* (cbrt (exp x)) (cbrt (+ 1 (exp x)))) (sqrt (- (exp (+ x x)) 1))))) * * * * [misc]progress: [ 31 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (exp x)) (cbrt (exp x))) (/ (sqrt (- (* (exp x) (exp x)) (* 1 1))) (sqrt (+ (exp x) 1)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (108 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (+ 1 (exp x))) (* (cbrt (exp x)) (cbrt (exp x)))) (sqrt (- (* (exp x) (exp x)) 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (sqrt (+ 1 (exp x))) (* (cbrt (exp x)) (cbrt (exp x)))) (sqrt (- (* (exp x) (exp x)) 1))) (/ (cbrt (exp x)) (/ (sqrt (- (* (exp x) (exp x)) (* 1 1))) (sqrt (+ (exp x) 1)))))) * [enter]simplify: Simplifying (/ (cbrt (exp x)) (/ (sqrt (- (* (exp x) (exp x)) (* 1 1))) (sqrt (+ (exp x) 1)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (73 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (exp x)) (sqrt (+ 1 (exp x)))) (sqrt (- (exp (+ x x)) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (sqrt (+ 1 (exp x))) (* (cbrt (exp x)) (cbrt (exp x)))) (sqrt (- (* (exp x) (exp x)) 1))) (/ (* (cbrt (exp x)) (sqrt (+ 1 (exp x)))) (sqrt (- (exp (+ x x)) 1))))) * * * * [misc]progress: [ 32 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (exp x)) (cbrt (exp x))) (/ (sqrt (- (* (exp x) (exp x)) (* 1 1))) 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (95 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (- (* (exp x) (exp x)) 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (- (* (exp x) (exp x)) 1))) (/ (cbrt (exp x)) (/ (sqrt (- (* (exp x) (exp x)) (* 1 1))) (+ (exp x) 1))))) * [enter]simplify: Simplifying (/ (cbrt (exp x)) (/ (sqrt (- (* (exp x) (exp x)) (* 1 1))) (+ (exp x) 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (131 enodes) * * [misc]simplify: iters left: 1 (305 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (exp x)) (+ 1 (exp x))) (sqrt (- (* (exp x) (exp x)) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (- (* (exp x) (exp x)) 1))) (/ (* (cbrt (exp x)) (+ 1 (exp x))) (sqrt (- (* (exp x) (exp x)) 1))))) * * * * [misc]progress: [ 33 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (exp x)) (cbrt (exp x))) (/ 1 (* (cbrt (+ (exp x) 1)) (cbrt (+ (exp x) 1))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (166 enodes) * [exit]simplify: Simplified to (* (* (cbrt (+ (exp x) 1)) (cbrt (exp x))) (* (cbrt (+ (exp x) 1)) (cbrt (exp x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (* (cbrt (+ (exp x) 1)) (cbrt (exp x))) (* (cbrt (+ (exp x) 1)) (cbrt (exp x)))) (/ (cbrt (exp x)) (/ (- (* (exp x) (exp x)) (* 1 1)) (cbrt (+ (exp x) 1)))))) * [enter]simplify: Simplifying (/ (cbrt (exp x)) (/ (- (* (exp x) (exp x)) (* 1 1)) (cbrt (+ (exp x) 1)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (84 enodes) * * [misc]simplify: iters left: 1 (137 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (+ 1 (exp x))) (- (exp x) 1)) (/ (cbrt (exp x)) (+ 1 (exp x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (* (cbrt (+ (exp x) 1)) (cbrt (exp x))) (* (cbrt (+ (exp x) 1)) (cbrt (exp x)))) (* (/ (cbrt (+ 1 (exp x))) (- (exp x) 1)) (/ (cbrt (exp x)) (+ 1 (exp x)))))) * * * * [misc]progress: [ 34 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (exp x)) (cbrt (exp x))) (/ 1 (sqrt (+ (exp x) 1)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (138 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (exp x) 1)) (* (cbrt (exp x)) (cbrt (exp x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (sqrt (+ (exp x) 1)) (* (cbrt (exp x)) (cbrt (exp x)))) (/ (cbrt (exp x)) (/ (- (* (exp x) (exp x)) (* 1 1)) (sqrt (+ (exp x) 1)))))) * [enter]simplify: Simplifying (/ (cbrt (exp x)) (/ (- (* (exp x) (exp x)) (* 1 1)) (sqrt (+ (exp x) 1)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (84 enodes) * * [misc]simplify: iters left: 1 (137 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (+ 1 (exp x))) (- (exp x) 1)) (/ (cbrt (exp x)) (+ 1 (exp x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt (+ (exp x) 1)) (* (cbrt (exp x)) (cbrt (exp x)))) (* (/ (sqrt (+ 1 (exp x))) (- (exp x) 1)) (/ (cbrt (exp x)) (+ 1 (exp x)))))) * * * * [misc]progress: [ 35 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (exp x)) (cbrt (exp x))) (/ 1 1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (* (cbrt (exp x)) (cbrt (exp x))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (cbrt (exp x)) (cbrt (exp x))) (/ (cbrt (exp x)) (/ (- (* (exp x) (exp x)) (* 1 1)) (+ (exp x) 1))))) * [enter]simplify: Simplifying (/ (cbrt (exp x)) (/ (- (* (exp x) (exp x)) (* 1 1)) (+ (exp x) 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (197 enodes) * [exit]simplify: Simplified to (/ (cbrt (exp x)) (- (exp x) 1)) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (cbrt (exp x)) (cbrt (exp x))) (/ (cbrt (exp x)) (- (exp x) 1)))) * * * * [misc]progress: [ 36 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (exp x)) (cbrt (exp x))) (/ (+ (exp x) 1) (* (cbrt (+ (exp x) 1)) (cbrt (+ (exp x) 1))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (95 enodes) * * [misc]simplify: iters left: 1 (126 enodes) * [exit]simplify: Simplified to (* (* (cbrt (+ (exp x) 1)) (cbrt (+ (exp x) 1))) (/ (* (cbrt (exp x)) (cbrt (exp x))) (+ (exp x) 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (* (cbrt (+ (exp x) 1)) (cbrt (+ (exp x) 1))) (/ (* (cbrt (exp x)) (cbrt (exp x))) (+ (exp x) 1))) (/ (cbrt (exp x)) (/ (- (exp x) 1) (cbrt (+ (exp x) 1)))))) * [enter]simplify: Simplifying (/ (cbrt (exp x)) (/ (- (exp x) 1) (cbrt (+ (exp x) 1)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (exp x)) (- (exp x) 1)) (cbrt (+ (exp x) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (cbrt (exp x)) (cbrt (exp x))) (/ (+ (exp x) 1) (* (cbrt (+ (exp x) 1)) (cbrt (+ (exp x) 1))))) (* (/ (cbrt (exp x)) (- (exp x) 1)) (cbrt (+ (exp x) 1))))) * * * * [misc]progress: [ 37 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (exp x)) (cbrt (exp x))) (/ (+ (exp x) 1) (sqrt (+ (exp x) 1)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (* (* (cbrt (exp x)) (cbrt (exp x))) (/ (sqrt (+ (exp x) 1)) (+ (exp x) 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (* (cbrt (exp x)) (cbrt (exp x))) (/ (sqrt (+ (exp x) 1)) (+ (exp x) 1))) (/ (cbrt (exp x)) (/ (- (exp x) 1) (sqrt (+ (exp x) 1)))))) * [enter]simplify: Simplifying (/ (cbrt (exp x)) (/ (- (exp x) 1) (sqrt (+ (exp x) 1)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (exp x)) (- (exp x) 1)) (sqrt (+ (exp x) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (cbrt (exp x)) (cbrt (exp x))) (/ (+ (exp x) 1) (sqrt (+ (exp x) 1)))) (* (/ (cbrt (exp x)) (- (exp x) 1)) (sqrt (+ (exp x) 1))))) * * * * [misc]progress: [ 38 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (exp x)) (cbrt (exp x))) (/ (+ (exp x) 1) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (36 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (exp x)) (cbrt (exp x))) (+ (exp x) 1)) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (cbrt (exp x)) (cbrt (exp x))) (+ (exp x) 1)) (/ (cbrt (exp x)) (/ (- (exp x) 1) (+ (exp x) 1))))) * [enter]simplify: Simplifying (/ (cbrt (exp x)) (/ (- (exp x) 1) (+ (exp x) 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (233 enodes) * [exit]simplify: Simplified to (/ (cbrt (exp x)) (/ (- (exp x) 1) (+ 1 (exp x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (cbrt (exp x)) (cbrt (exp x))) (+ (exp x) 1)) (/ (cbrt (exp x)) (/ (- (exp x) 1) (+ 1 (exp x)))))) * * * * [misc]progress: [ 39 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (exp x)) (cbrt (exp x))) 1) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * [exit]simplify: Simplified to (* (cbrt (exp x)) (cbrt (exp x))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (cbrt (exp x)) (cbrt (exp x))) (/ (cbrt (exp x)) (/ (- (* (exp x) (exp x)) (* 1 1)) (+ (exp x) 1))))) * [enter]simplify: Simplifying (/ (cbrt (exp x)) (/ (- (* (exp x) (exp x)) (* 1 1)) (+ (exp x) 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (197 enodes) * [exit]simplify: Simplified to (/ (cbrt (exp x)) (- (exp x) 1)) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (cbrt (exp x)) (cbrt (exp x))) (/ (cbrt (exp x)) (- (exp x) 1)))) * * * * [misc]progress: [ 40 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (exp x)) (cbrt (exp x))) (- (* (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 (26 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (118 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (exp x)) (+ 1 (exp x))) (/ (- (exp x) 1) (cbrt (exp x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (cbrt (exp x)) (+ 1 (exp x))) (/ (- (exp x) 1) (cbrt (exp x)))) (/ (cbrt (exp x)) (/ 1 (+ (exp x) 1))))) * [enter]simplify: Simplifying (/ (cbrt (exp x)) (/ 1 (+ (exp x) 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (126 enodes) * [exit]simplify: Simplified to (* (cbrt (exp x)) (+ (exp x) 1)) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (cbrt (exp x)) (cbrt (exp x))) (- (* (exp x) (exp x)) (* 1 1))) (* (cbrt (exp x)) (+ (exp x) 1)))) * * * * [misc]progress: [ 41 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (exp x)) (cbrt (exp x))) (/ (- (* (exp x) (exp x)) (* 1 1)) (+ (pow (exp x) 3) (pow 1 3)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (149 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (exp x)) (+ 1 (pow (exp x) 3))) (/ (- (* (exp x) (exp x)) 1) (cbrt (exp x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (cbrt (exp x)) (+ 1 (pow (exp x) 3))) (/ (- (* (exp x) (exp x)) 1) (cbrt (exp x)))) (/ (cbrt (exp x)) (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1)))))) * [enter]simplify: Simplifying (/ (cbrt (exp x)) (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (112 enodes) * [exit]simplify: Simplified to (/ (cbrt (exp x)) (+ (* (exp x) (exp x)) (- 1 (exp x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (cbrt (exp x)) (+ 1 (pow (exp x) 3))) (/ (- (* (exp x) (exp x)) 1) (cbrt (exp x)))) (/ (cbrt (exp x)) (+ (* (exp x) (exp x)) (- 1 (exp x)))))) * * * * [misc]progress: [ 42 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (exp x)) (cbrt (exp x))) (/ (- (* (exp x) (exp x)) (* 1 1)) (- (* (exp x) (exp x)) (* 1 1)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (150 enodes) * [exit]simplify: Simplified to (* (cbrt (exp x)) (cbrt (exp x))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (cbrt (exp x)) (cbrt (exp x))) (/ (cbrt (exp x)) (- (exp x) 1)))) * [enter]simplify: Simplifying (/ (cbrt (exp x)) (- (exp x) 1)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (/ (cbrt (exp x)) (- (exp x) 1)) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (cbrt (exp x)) (cbrt (exp x))) (/ (cbrt (exp x)) (- (exp x) 1)))) * * * * [misc]progress: [ 43 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (exp x)) (* (cbrt (/ (- (* (exp x) (exp x)) (* 1 1)) (+ (exp x) 1))) (cbrt (/ (- (* (exp x) (exp x)) (* 1 1)) (+ (exp x) 1))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (104 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (exp x)) (cbrt (- (exp x) 1))) (cbrt (- (exp x) 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (sqrt (exp x)) (cbrt (- (exp x) 1))) (cbrt (- (exp x) 1))) (/ (sqrt (exp x)) (cbrt (/ (- (* (exp x) (exp x)) (* 1 1)) (+ (exp x) 1)))))) * [enter]simplify: Simplifying (/ (sqrt (exp x)) (cbrt (/ (- (* (exp x) (exp x)) (* 1 1)) (+ (exp x) 1)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (101 enodes) * [exit]simplify: Simplified to (/ (sqrt (exp x)) (cbrt (- (exp x) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (exp x)) (cbrt (- (exp x) 1))) (cbrt (- (exp x) 1))) (/ (sqrt (exp x)) (cbrt (- (exp x) 1))))) * * * * [misc]progress: [ 44 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (exp x)) (sqrt (/ (- (* (exp x) (exp x)) (* 1 1)) (+ (exp x) 1)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (101 enodes) * [exit]simplify: Simplified to (/ (sqrt (exp x)) (sqrt (- (exp x) 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (exp x)) (sqrt (- (exp x) 1))) (/ (sqrt (exp x)) (sqrt (/ (- (* (exp x) (exp x)) (* 1 1)) (+ (exp x) 1)))))) * [enter]simplify: Simplifying (/ (sqrt (exp x)) (sqrt (/ (- (* (exp x) (exp x)) (* 1 1)) (+ (exp x) 1)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (101 enodes) * [exit]simplify: Simplified to (/ (sqrt (exp x)) (sqrt (- (exp x) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (exp x)) (sqrt (- (exp x) 1))) (/ (sqrt (exp x)) (sqrt (- (exp x) 1))))) * * * * [misc]progress: [ 45 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (exp x)) (/ (* (cbrt (- (* (exp x) (exp x)) (* 1 1))) (cbrt (- (* (exp x) (exp x)) (* 1 1)))) (* (cbrt (+ (exp x) 1)) (cbrt (+ (exp x) 1))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (122 enodes) * * [misc]simplify: iters left: 1 (172 enodes) * [exit]simplify: Simplified to (/ (* (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x)))) (sqrt (exp x))) (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x)))) (sqrt (exp x))) (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1)))) (/ (sqrt (exp x)) (/ (cbrt (- (* (exp x) (exp x)) (* 1 1))) (cbrt (+ (exp x) 1)))))) * [enter]simplify: Simplifying (/ (sqrt (exp x)) (/ (cbrt (- (* (exp x) (exp x)) (* 1 1))) (cbrt (+ (exp x) 1)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (73 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (exp x)) (cbrt (+ 1 (exp x)))) (cbrt (- (exp (+ x x)) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x)))) (sqrt (exp x))) (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1)))) (/ (* (sqrt (exp x)) (cbrt (+ 1 (exp x)))) (cbrt (- (exp (+ x x)) 1))))) * * * * [misc]progress: [ 46 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (exp x)) (/ (* (cbrt (- (* (exp x) (exp x)) (* 1 1))) (cbrt (- (* (exp x) (exp x)) (* 1 1)))) (sqrt (+ (exp x) 1)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (102 enodes) * [exit]simplify: Simplified to (/ (/ (* (sqrt (exp x)) (sqrt (+ 1 (exp x)))) (cbrt (- (* (exp x) (exp x)) 1))) (cbrt (- (* (exp x) (exp x)) 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (* (sqrt (exp x)) (sqrt (+ 1 (exp x)))) (cbrt (- (* (exp x) (exp x)) 1))) (cbrt (- (* (exp x) (exp x)) 1))) (/ (sqrt (exp x)) (/ (cbrt (- (* (exp x) (exp x)) (* 1 1))) (sqrt (+ (exp x) 1)))))) * [enter]simplify: Simplifying (/ (sqrt (exp x)) (/ (cbrt (- (* (exp x) (exp x)) (* 1 1))) (sqrt (+ (exp x) 1)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (73 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (exp x)) (sqrt (+ 1 (exp x)))) (cbrt (- (exp (+ x x)) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (* (sqrt (exp x)) (sqrt (+ 1 (exp x)))) (cbrt (- (* (exp x) (exp x)) 1))) (cbrt (- (* (exp x) (exp x)) 1))) (/ (* (sqrt (exp x)) (sqrt (+ 1 (exp x)))) (cbrt (- (exp (+ x x)) 1))))) * * * * [misc]progress: [ 47 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (exp x)) (/ (* (cbrt (- (* (exp x) (exp x)) (* 1 1))) (cbrt (- (* (exp x) (exp x)) (* 1 1)))) 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (133 enodes) * [exit]simplify: Simplified to (/ (sqrt (exp x)) (* (cbrt (- (* (exp x) (exp x)) 1)) (cbrt (- (* (exp x) (exp x)) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (exp x)) (* (cbrt (- (* (exp x) (exp x)) 1)) (cbrt (- (* (exp x) (exp x)) 1)))) (/ (sqrt (exp x)) (/ (cbrt (- (* (exp x) (exp x)) (* 1 1))) (+ (exp x) 1))))) * [enter]simplify: Simplifying (/ (sqrt (exp x)) (/ (cbrt (- (* (exp x) (exp x)) (* 1 1))) (+ (exp x) 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (131 enodes) * * [misc]simplify: iters left: 1 (305 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (exp x)) (+ 1 (exp x))) (cbrt (- (* (exp x) (exp x)) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (exp x)) (* (cbrt (- (* (exp x) (exp x)) 1)) (cbrt (- (* (exp x) (exp x)) 1)))) (/ (* (sqrt (exp x)) (+ 1 (exp x))) (cbrt (- (* (exp x) (exp x)) 1))))) * * * * [misc]progress: [ 48 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (exp x)) (/ (sqrt (- (* (exp x) (exp x)) (* 1 1))) (* (cbrt (+ (exp x) 1)) (cbrt (+ (exp x) 1))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (95 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (exp x)) (cbrt (+ (exp x) 1))) (/ (sqrt (- (* (exp x) (exp x)) 1)) (cbrt (+ (exp x) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (sqrt (exp x)) (cbrt (+ (exp x) 1))) (/ (sqrt (- (* (exp x) (exp x)) 1)) (cbrt (+ (exp x) 1)))) (/ (sqrt (exp x)) (/ (sqrt (- (* (exp x) (exp x)) (* 1 1))) (cbrt (+ (exp x) 1)))))) * [enter]simplify: Simplifying (/ (sqrt (exp x)) (/ (sqrt (- (* (exp x) (exp x)) (* 1 1))) (cbrt (+ (exp x) 1)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (73 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (exp x)) (cbrt (+ 1 (exp x)))) (sqrt (- (exp (+ x x)) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (sqrt (exp x)) (cbrt (+ (exp x) 1))) (/ (sqrt (- (* (exp x) (exp x)) 1)) (cbrt (+ (exp x) 1)))) (/ (* (sqrt (exp x)) (cbrt (+ 1 (exp x)))) (sqrt (- (exp (+ x x)) 1))))) * * * * [misc]progress: [ 49 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (exp x)) (/ (sqrt (- (* (exp x) (exp x)) (* 1 1))) (sqrt (+ (exp x) 1)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (73 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (exp x)) (sqrt (+ 1 (exp x)))) (sqrt (- (exp (+ x x)) 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (sqrt (exp x)) (sqrt (+ 1 (exp x)))) (sqrt (- (exp (+ x x)) 1))) (/ (sqrt (exp x)) (/ (sqrt (- (* (exp x) (exp x)) (* 1 1))) (sqrt (+ (exp x) 1)))))) * [enter]simplify: Simplifying (/ (sqrt (exp x)) (/ (sqrt (- (* (exp x) (exp x)) (* 1 1))) (sqrt (+ (exp x) 1)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (73 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (exp x)) (sqrt (+ 1 (exp x)))) (sqrt (- (exp (+ x x)) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (sqrt (exp x)) (sqrt (+ 1 (exp x)))) (sqrt (- (exp (+ x x)) 1))) (/ (* (sqrt (exp x)) (sqrt (+ 1 (exp x)))) (sqrt (- (exp (+ x x)) 1))))) * * * * [misc]progress: [ 50 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (exp x)) (/ (sqrt (- (* (exp x) (exp x)) (* 1 1))) 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to (/ (sqrt (exp x)) (sqrt (- (* (exp x) (exp x)) 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (exp x)) (sqrt (- (* (exp x) (exp x)) 1))) (/ (sqrt (exp x)) (/ (sqrt (- (* (exp x) (exp x)) (* 1 1))) (+ (exp x) 1))))) * [enter]simplify: Simplifying (/ (sqrt (exp x)) (/ (sqrt (- (* (exp x) (exp x)) (* 1 1))) (+ (exp x) 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (131 enodes) * * [misc]simplify: iters left: 1 (305 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (exp x)) (+ 1 (exp x))) (sqrt (- (* (exp x) (exp x)) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (exp x)) (sqrt (- (* (exp x) (exp x)) 1))) (/ (* (sqrt (exp x)) (+ 1 (exp x))) (sqrt (- (* (exp x) (exp x)) 1))))) * * * * [misc]progress: [ 51 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (exp x)) (/ 1 (* (cbrt (+ (exp x) 1)) (cbrt (+ (exp x) 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (* (sqrt (exp x)) (* (cbrt (+ (exp x) 1)) (cbrt (+ (exp x) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (sqrt (exp x)) (* (cbrt (+ (exp x) 1)) (cbrt (+ (exp x) 1)))) (/ (sqrt (exp x)) (/ (- (* (exp x) (exp x)) (* 1 1)) (cbrt (+ (exp x) 1)))))) * [enter]simplify: Simplifying (/ (sqrt (exp x)) (/ (- (* (exp x) (exp x)) (* 1 1)) (cbrt (+ (exp x) 1)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (84 enodes) * * [misc]simplify: iters left: 1 (137 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (+ 1 (exp x))) (- (exp x) 1)) (/ (sqrt (exp x)) (+ 1 (exp x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt (exp x)) (* (cbrt (+ (exp x) 1)) (cbrt (+ (exp x) 1)))) (* (/ (cbrt (+ 1 (exp x))) (- (exp x) 1)) (/ (sqrt (exp x)) (+ 1 (exp x)))))) * * * * [misc]progress: [ 52 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (exp x) 1)) (sqrt (exp x))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (sqrt (+ (exp x) 1)) (sqrt (exp x))) (/ (sqrt (exp x)) (/ (- (* (exp x) (exp x)) (* 1 1)) (sqrt (+ (exp x) 1)))))) * [enter]simplify: Simplifying (/ (sqrt (exp x)) (/ (- (* (exp x) (exp x)) (* 1 1)) (sqrt (+ (exp x) 1)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (84 enodes) * * [misc]simplify: iters left: 1 (137 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (+ 1 (exp x))) (- (exp x) 1)) (/ (sqrt (exp x)) (+ 1 (exp x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt (+ (exp x) 1)) (sqrt (exp x))) (* (/ (sqrt (+ 1 (exp x))) (- (exp x) 1)) (/ (sqrt (exp x)) (+ 1 (exp x)))))) * * * * [misc]progress: [ 53 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (exp x)) (/ 1 1)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (exp x)) * [misc]simplify: Simplified (2 1) to (λ (x) (* (sqrt (exp x)) (/ (sqrt (exp x)) (/ (- (* (exp x) (exp x)) (* 1 1)) (+ (exp x) 1))))) * [enter]simplify: Simplifying (/ (sqrt (exp x)) (/ (- (* (exp x) (exp x)) (* 1 1)) (+ (exp x) 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (197 enodes) * [exit]simplify: Simplified to (/ (sqrt (exp x)) (- (exp x) 1)) * [misc]simplify: Simplified (2 2) to (λ (x) (* (sqrt (exp x)) (/ (sqrt (exp x)) (- (exp x) 1)))) * * * * [misc]progress: [ 54 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (exp x)) (/ (+ (exp x) 1) (* (cbrt (+ (exp x) 1)) (cbrt (+ (exp x) 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (exp x)) (+ (exp x) 1)) (* (cbrt (+ (exp x) 1)) (cbrt (+ (exp x) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (sqrt (exp x)) (+ (exp x) 1)) (* (cbrt (+ (exp x) 1)) (cbrt (+ (exp x) 1)))) (/ (sqrt (exp x)) (/ (- (exp x) 1) (cbrt (+ (exp x) 1)))))) * [enter]simplify: Simplifying (/ (sqrt (exp x)) (/ (- (exp x) 1) (cbrt (+ (exp x) 1)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (exp x)) (- (exp x) 1)) (cbrt (+ (exp x) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (exp x)) (/ (+ (exp x) 1) (* (cbrt (+ (exp x) 1)) (cbrt (+ (exp x) 1))))) (* (/ (sqrt (exp x)) (- (exp x) 1)) (cbrt (+ (exp x) 1))))) * * * * [misc]progress: [ 55 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (exp x)) (/ (+ (exp x) 1) (sqrt (+ (exp x) 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (exp x) 1)) (/ (sqrt (exp x)) (+ (exp x) 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (sqrt (+ (exp x) 1)) (/ (sqrt (exp x)) (+ (exp x) 1))) (/ (sqrt (exp x)) (/ (- (exp x) 1) (sqrt (+ (exp x) 1)))))) * [enter]simplify: Simplifying (/ (sqrt (exp x)) (/ (- (exp x) 1) (sqrt (+ (exp x) 1)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (exp x)) (- (exp x) 1)) (sqrt (+ (exp x) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (exp x)) (/ (+ (exp x) 1) (sqrt (+ (exp x) 1)))) (* (/ (sqrt (exp x)) (- (exp x) 1)) (sqrt (+ (exp x) 1))))) * * * * [misc]progress: [ 56 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (exp x)) (/ (+ (exp x) 1) 1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (/ (sqrt (exp x)) (+ (exp x) 1)) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (exp x)) (+ (exp x) 1)) (/ (sqrt (exp x)) (/ (- (exp x) 1) (+ (exp x) 1))))) * [enter]simplify: Simplifying (/ (sqrt (exp x)) (/ (- (exp x) 1) (+ (exp x) 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (233 enodes) * [exit]simplify: Simplified to (/ (sqrt (exp x)) (/ (- (exp x) 1) (+ 1 (exp x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (exp x)) (+ (exp x) 1)) (/ (sqrt (exp x)) (/ (- (exp x) 1) (+ 1 (exp x)))))) * * * * [misc]progress: [ 57 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (exp x)) 1) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (sqrt (exp x)) * [misc]simplify: Simplified (2 1) to (λ (x) (* (sqrt (exp x)) (/ (sqrt (exp x)) (/ (- (* (exp x) (exp x)) (* 1 1)) (+ (exp x) 1))))) * [enter]simplify: Simplifying (/ (sqrt (exp x)) (/ (- (* (exp x) (exp x)) (* 1 1)) (+ (exp x) 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (197 enodes) * [exit]simplify: Simplified to (/ (sqrt (exp x)) (- (exp x) 1)) * [misc]simplify: Simplified (2 2) to (λ (x) (* (sqrt (exp x)) (/ (sqrt (exp x)) (- (exp x) 1)))) * * * * [misc]progress: [ 58 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (exp x)) (- (* (exp x) (exp x)) (* 1 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (/ (sqrt (exp x)) (- (* (exp x) (exp x)) 1)) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (exp x)) (- (* (exp x) (exp x)) 1)) (/ (sqrt (exp x)) (/ 1 (+ (exp x) 1))))) * [enter]simplify: Simplifying (/ (sqrt (exp x)) (/ 1 (+ (exp x) 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (126 enodes) * [exit]simplify: Simplified to (* (sqrt (exp x)) (+ (exp x) 1)) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (exp x)) (- (* (exp x) (exp x)) 1)) (* (sqrt (exp x)) (+ (exp x) 1)))) * * * * [misc]progress: [ 59 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (exp x)) (/ (- (* (exp x) (exp x)) (* 1 1)) (+ (pow (exp x) 3) (pow 1 3)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (109 enodes) * * [misc]simplify: iters left: 2 (258 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (exp x)) (- (exp x) 1)) (/ (+ (pow (exp x) 3) 1) (+ (exp x) 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (sqrt (exp x)) (- (exp x) 1)) (/ (+ (pow (exp x) 3) 1) (+ (exp x) 1))) (/ (sqrt (exp x)) (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1)))))) * [enter]simplify: Simplifying (/ (sqrt (exp x)) (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (112 enodes) * [exit]simplify: Simplified to (/ (sqrt (exp x)) (+ (* (exp x) (exp x)) (- 1 (exp x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (sqrt (exp x)) (- (exp x) 1)) (/ (+ (pow (exp x) 3) 1) (+ (exp x) 1))) (/ (sqrt (exp x)) (+ (* (exp x) (exp x)) (- 1 (exp x)))))) * * * * [misc]progress: [ 60 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (exp x)) (/ (- (* (exp x) (exp x)) (* 1 1)) (- (* (exp x) (exp x)) (* 1 1)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: iters left: 1 (129 enodes) * [exit]simplify: Simplified to (sqrt (exp x)) * [misc]simplify: Simplified (2 1) to (λ (x) (* (sqrt (exp x)) (/ (sqrt (exp x)) (- (exp x) 1)))) * [enter]simplify: Simplifying (/ (sqrt (exp x)) (- (exp x) 1)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (/ (sqrt (exp x)) (- (exp x) 1)) * [misc]simplify: Simplified (2 2) to (λ (x) (* (sqrt (exp x)) (/ (sqrt (exp x)) (- (exp x) 1)))) * * * * [misc]progress: [ 61 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (/ (- (* (exp x) (exp x)) (* 1 1)) (+ (exp x) 1))) (cbrt (/ (- (* (exp x) (exp x)) (* 1 1)) (+ (exp x) 1))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (103 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (- (exp x) 1)) (cbrt (- (exp x) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ 1 (* (cbrt (- (exp x) 1)) (cbrt (- (exp x) 1)))) (/ (exp x) (cbrt (/ (- (* (exp x) (exp x)) (* 1 1)) (+ (exp x) 1)))))) * [enter]simplify: Simplifying (/ (exp x) (cbrt (/ (- (* (exp x) (exp x)) (* 1 1)) (+ (exp x) 1)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (100 enodes) * [exit]simplify: Simplified to (/ (exp x) (cbrt (- (exp x) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ 1 (* (cbrt (- (exp x) 1)) (cbrt (- (exp x) 1)))) (/ (exp x) (cbrt (- (exp x) 1))))) * * * * [misc]progress: [ 62 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (/ (- (* (exp x) (exp x)) (* 1 1)) (+ (exp x) 1)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (100 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (- (exp x) 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ 1 (sqrt (- (exp x) 1))) (/ (exp x) (sqrt (/ (- (* (exp x) (exp x)) (* 1 1)) (+ (exp x) 1)))))) * [enter]simplify: Simplifying (/ (exp x) (sqrt (/ (- (* (exp x) (exp x)) (* 1 1)) (+ (exp x) 1)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (100 enodes) * [exit]simplify: Simplified to (/ (exp x) (sqrt (- (exp x) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ 1 (sqrt (- (exp x) 1))) (/ (exp x) (sqrt (- (exp x) 1))))) * * * * [misc]progress: [ 63 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (- (* (exp x) (exp x)) (* 1 1))) (cbrt (- (* (exp x) (exp x)) (* 1 1)))) (* (cbrt (+ (exp x) 1)) (cbrt (+ (exp x) 1))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (185 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (+ 1 (exp x))) (cbrt (- (exp (+ x x)) 1))) (/ (cbrt (+ 1 (exp x))) (cbrt (- (exp (+ x x)) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (cbrt (+ 1 (exp x))) (cbrt (- (exp (+ x x)) 1))) (/ (cbrt (+ 1 (exp x))) (cbrt (- (exp (+ x x)) 1)))) (/ (exp x) (/ (cbrt (- (* (exp x) (exp x)) (* 1 1))) (cbrt (+ (exp x) 1)))))) * [enter]simplify: Simplifying (/ (exp x) (/ (cbrt (- (* (exp x) (exp x)) (* 1 1))) (cbrt (+ (exp x) 1)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (+ 1 (exp x))) (exp x)) (cbrt (- (* (exp x) (exp x)) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (cbrt (+ 1 (exp x))) (cbrt (- (exp (+ x x)) 1))) (/ (cbrt (+ 1 (exp x))) (cbrt (- (exp (+ x x)) 1)))) (/ (* (cbrt (+ 1 (exp x))) (exp x)) (cbrt (- (* (exp x) (exp x)) 1))))) * * * * [misc]progress: [ 64 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (- (* (exp x) (exp x)) (* 1 1))) (cbrt (- (* (exp x) (exp x)) (* 1 1)))) (sqrt (+ (exp x) 1)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (107 enodes) * * [misc]simplify: iters left: 1 (224 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (exp x) 1)) (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (+ (exp x) 1)) (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1)))) (/ (exp x) (/ (cbrt (- (* (exp x) (exp x)) (* 1 1))) (sqrt (+ (exp x) 1)))))) * [enter]simplify: Simplifying (/ (exp x) (/ (cbrt (- (* (exp x) (exp x)) (* 1 1))) (sqrt (+ (exp x) 1)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (+ 1 (exp x))) (exp x)) (cbrt (- (* (exp x) (exp x)) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (+ (exp x) 1)) (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1)))) (/ (* (sqrt (+ 1 (exp x))) (exp x)) (cbrt (- (* (exp x) (exp x)) 1))))) * * * * [misc]progress: [ 65 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (- (* (exp x) (exp x)) (* 1 1))) (cbrt (- (* (exp x) (exp x)) (* 1 1)))) 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (102 enodes) * * [misc]simplify: iters left: 1 (132 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ 1 (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1)))) (/ (exp x) (/ (cbrt (- (* (exp x) (exp x)) (* 1 1))) (+ (exp x) 1))))) * [enter]simplify: Simplifying (/ (exp x) (/ (cbrt (- (* (exp x) (exp x)) (* 1 1))) (+ (exp x) 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (171 enodes) * * [misc]simplify: iters left: 1 (298 enodes) * [exit]simplify: Simplified to (/ (* (+ 1 (exp x)) (exp x)) (cbrt (- (exp (+ x x)) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ 1 (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1)))) (/ (* (+ 1 (exp x)) (exp x)) (cbrt (- (exp (+ x x)) 1))))) * * * * [misc]progress: [ 66 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (sqrt (- (* (exp x) (exp x)) (* 1 1))) (* (cbrt (+ (exp x) 1)) (cbrt (+ (exp x) 1))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (166 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (+ (exp x) 1)) (cbrt (+ (exp x) 1))) (sqrt (- (exp (+ x x)) 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (cbrt (+ (exp x) 1)) (cbrt (+ (exp x) 1))) (sqrt (- (exp (+ x x)) 1))) (/ (exp x) (/ (sqrt (- (* (exp x) (exp x)) (* 1 1))) (cbrt (+ (exp x) 1)))))) * [enter]simplify: Simplifying (/ (exp x) (/ (sqrt (- (* (exp x) (exp x)) (* 1 1))) (cbrt (+ (exp x) 1)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (+ 1 (exp x))) (exp x)) (sqrt (- (* (exp x) (exp x)) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (cbrt (+ (exp x) 1)) (cbrt (+ (exp x) 1))) (sqrt (- (exp (+ x x)) 1))) (/ (* (cbrt (+ 1 (exp x))) (exp x)) (sqrt (- (* (exp x) (exp x)) 1))))) * * * * [misc]progress: [ 67 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (sqrt (- (* (exp x) (exp x)) (* 1 1))) (sqrt (+ (exp x) 1)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (94 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (exp x) 1)) (sqrt (- (exp (+ x x)) 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (+ (exp x) 1)) (sqrt (- (exp (+ x x)) 1))) (/ (exp x) (/ (sqrt (- (* (exp x) (exp x)) (* 1 1))) (sqrt (+ (exp x) 1)))))) * [enter]simplify: Simplifying (/ (exp x) (/ (sqrt (- (* (exp x) (exp x)) (* 1 1))) (sqrt (+ (exp x) 1)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (+ 1 (exp x))) (exp x)) (sqrt (- (* (exp x) (exp x)) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (+ (exp x) 1)) (sqrt (- (exp (+ x x)) 1))) (/ (* (sqrt (+ 1 (exp x))) (exp x)) (sqrt (- (* (exp x) (exp x)) 1))))) * * * * [misc]progress: [ 68 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (sqrt (- (* (exp x) (exp x)) (* 1 1))) 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (70 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (- (exp (+ x x)) 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ 1 (sqrt (- (exp (+ x x)) 1))) (/ (exp x) (/ (sqrt (- (* (exp x) (exp x)) (* 1 1))) (+ (exp x) 1))))) * [enter]simplify: Simplifying (/ (exp x) (/ (sqrt (- (* (exp x) (exp x)) (* 1 1))) (+ (exp x) 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (171 enodes) * * [misc]simplify: iters left: 1 (298 enodes) * [exit]simplify: Simplified to (/ (* (+ 1 (exp x)) (exp x)) (sqrt (- (exp (+ x x)) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ 1 (sqrt (- (exp (+ x x)) 1))) (/ (* (+ 1 (exp x)) (exp x)) (sqrt (- (exp (+ x x)) 1))))) * * * * [misc]progress: [ 69 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ 1 (* (cbrt (+ (exp x) 1)) (cbrt (+ (exp x) 1))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x)))) (/ (exp x) (/ (- (* (exp x) (exp x)) (* 1 1)) (cbrt (+ (exp x) 1)))))) * [enter]simplify: Simplifying (/ (exp x) (/ (- (* (exp x) (exp x)) (* 1 1)) (cbrt (+ (exp x) 1)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (136 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ 1 (exp x))) (* (- (exp x) 1) (/ (+ 1 (exp x)) (exp x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x)))) (/ (cbrt (+ 1 (exp x))) (* (- (exp x) 1) (/ (+ 1 (exp x)) (exp x)))))) * * * * [misc]progress: [ 70 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ 1 (sqrt (+ (exp x) 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 (exp x))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (sqrt (+ 1 (exp x))) (/ (exp x) (/ (- (* (exp x) (exp x)) (* 1 1)) (sqrt (+ (exp x) 1)))))) * [enter]simplify: Simplifying (/ (exp x) (/ (- (* (exp x) (exp x)) (* 1 1)) (sqrt (+ (exp x) 1)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (136 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 (exp x))) (* (- (exp x) 1) (/ (+ 1 (exp x)) (exp x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (sqrt (+ 1 (exp x))) (/ (sqrt (+ 1 (exp x))) (* (- (exp x) 1) (/ (+ 1 (exp x)) (exp x)))))) * * * * [misc]progress: [ 71 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ 1 1)) * * [misc]simplify: iters left: 4 (3 enodes) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (x) (* 1 (/ (exp x) (/ (- (* (exp x) (exp x)) (* 1 1)) (+ (exp x) 1))))) * [enter]simplify: Simplifying (/ (exp x) (/ (- (* (exp x) (exp x)) (* 1 1)) (+ (exp x) 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (236 enodes) * [exit]simplify: Simplified to (/ (exp x) (- (exp x) 1)) * [misc]simplify: Simplified (2 2) to (λ (x) (* 1 (/ (exp x) (- (exp x) 1)))) * * * * [misc]progress: [ 72 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (+ (exp x) 1) (* (cbrt (+ (exp x) 1)) (cbrt (+ (exp x) 1))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (89 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (+ 1 (exp x))) (+ 1 (exp x))) (cbrt (+ 1 (exp x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (cbrt (+ 1 (exp x))) (+ 1 (exp x))) (cbrt (+ 1 (exp x)))) (/ (exp x) (/ (- (exp x) 1) (cbrt (+ (exp x) 1)))))) * [enter]simplify: Simplifying (/ (exp x) (/ (- (exp x) 1) (cbrt (+ (exp x) 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (exp x) 1)) (/ (exp x) (- (exp x) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (cbrt (+ 1 (exp x))) (+ 1 (exp x))) (cbrt (+ 1 (exp x)))) (* (cbrt (+ (exp x) 1)) (/ (exp x) (- (exp x) 1))))) * * * * [misc]progress: [ 73 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (+ (exp x) 1) (sqrt (+ (exp x) 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 (exp x))) (+ 1 (exp x))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (+ 1 (exp x))) (+ 1 (exp x))) (/ (exp x) (/ (- (exp x) 1) (sqrt (+ (exp x) 1)))))) * [enter]simplify: Simplifying (/ (exp x) (/ (- (exp x) 1) (sqrt (+ (exp x) 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (exp x) 1)) (/ (exp x) (- (exp x) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (+ 1 (exp x))) (+ 1 (exp x))) (* (sqrt (+ (exp x) 1)) (/ (exp x) (- (exp x) 1))))) * * * * [misc]progress: [ 74 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (+ (exp x) 1) 1)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ 1 (+ 1 (exp x))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ 1 (+ 1 (exp x))) (/ (exp x) (/ (- (exp x) 1) (+ (exp x) 1))))) * [enter]simplify: Simplifying (/ (exp x) (/ (- (exp x) 1) (+ (exp x) 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (155 enodes) * * [misc]simplify: iters left: 1 (239 enodes) * [exit]simplify: Simplified to (* (+ 1 (exp x)) (/ (exp x) (- (exp x) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ 1 (+ 1 (exp x))) (* (+ 1 (exp x)) (/ (exp x) (- (exp x) 1))))) * * * * [misc]progress: [ 75 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (x) (* 1 (/ (exp x) (/ (- (* (exp x) (exp x)) (* 1 1)) (+ (exp x) 1))))) * [enter]simplify: Simplifying (/ (exp x) (/ (- (* (exp x) (exp x)) (* 1 1)) (+ (exp x) 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (236 enodes) * [exit]simplify: Simplified to (/ (exp x) (- (exp x) 1)) * [misc]simplify: Simplified (2 2) to (λ (x) (* 1 (/ (exp x) (- (exp x) 1)))) * * * * [misc]progress: [ 76 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (- (* (exp x) (exp x)) (* 1 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (64 enodes) * [exit]simplify: Simplified to (/ 1 (- (exp (+ x x)) 1)) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ 1 (- (exp (+ x x)) 1)) (/ (exp x) (/ 1 (+ (exp x) 1))))) * [enter]simplify: Simplifying (/ (exp x) (/ 1 (+ (exp x) 1))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (160 enodes) * [exit]simplify: Simplified to (+ (* (exp x) (exp x)) (exp x)) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ 1 (- (exp (+ x x)) 1)) (+ (* (exp x) (exp x)) (exp x)))) * * * * [misc]progress: [ 77 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (- (* (exp x) (exp x)) (* 1 1)) (+ (pow (exp x) 3) (pow 1 3)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (211 enodes) * * [misc]simplify: iters left: 1 (446 enodes) * [exit]simplify: Simplified to (/ (+ 1 (pow (exp x) 3)) (- (exp (+ x x)) 1)) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (+ 1 (pow (exp x) 3)) (- (exp (+ x x)) 1)) (/ (exp x) (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1)))))) * [enter]simplify: Simplifying (/ (exp x) (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (145 enodes) * * [misc]simplify: iters left: 1 (297 enodes) * [exit]simplify: Simplified to (/ 1 (- (exp (- x)) (- 1 (exp x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (+ 1 (pow (exp x) 3)) (- (exp (+ x x)) 1)) (/ 1 (- (exp (- x)) (- 1 (exp x)))))) * * * * [misc]progress: [ 78 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (- (* (exp x) (exp x)) (* 1 1)) (- (* (exp x) (exp x)) (* 1 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (126 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (x) (* 1 (/ (exp x) (- (exp x) 1)))) * [enter]simplify: Simplifying (/ (exp x) (- (exp x) 1)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (/ (exp x) (- (exp x) 1)) * [misc]simplify: Simplified (2 2) to (λ (x) (* 1 (/ (exp x) (- (exp x) 1)))) * * * * [misc]progress: [ 79 / 171 ] simplifiying candidate # * * * * [misc]progress: [ 80 / 171 ] simplifiying candidate # * * * * [misc]progress: [ 81 / 171 ] simplifiying candidate # * * * * [misc]progress: [ 82 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (- (* (exp x) (exp x)) (* 1 1)) (+ (exp x) 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (90 enodes) * [exit]simplify: Simplified to (cbrt (- (exp x) 1)) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (/ (exp x) (* (cbrt (/ (- (* (exp x) (exp x)) (* 1 1)) (+ (exp x) 1))) (cbrt (/ (- (* (exp x) (exp x)) (* 1 1)) (+ (exp x) 1))))) (cbrt (- (exp x) 1)))) * * * * [misc]progress: [ 83 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (- (* (exp x) (exp x)) (* 1 1)) (+ (exp x) 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (90 enodes) * [exit]simplify: Simplified to (sqrt (- (exp x) 1)) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (/ (exp x) (sqrt (/ (- (* (exp x) (exp x)) (* 1 1)) (+ (exp x) 1)))) (sqrt (- (exp x) 1)))) * * * * [misc]progress: [ 84 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (- (* (exp x) (exp x)) (* 1 1))) (cbrt (+ (exp x) 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (64 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (* (exp x) (exp x)) 1)) (cbrt (+ 1 (exp x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (/ (exp x) (/ (* (cbrt (- (* (exp x) (exp x)) (* 1 1))) (cbrt (- (* (exp x) (exp x)) (* 1 1)))) (* (cbrt (+ (exp x) 1)) (cbrt (+ (exp x) 1))))) (/ (cbrt (- (* (exp x) (exp x)) 1)) (cbrt (+ 1 (exp x)))))) * * * * [misc]progress: [ 85 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (- (* (exp x) (exp x)) (* 1 1))) (sqrt (+ (exp x) 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (64 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (* (exp x) (exp x)) 1)) (sqrt (+ 1 (exp x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (/ (exp x) (/ (* (cbrt (- (* (exp x) (exp x)) (* 1 1))) (cbrt (- (* (exp x) (exp x)) (* 1 1)))) (sqrt (+ (exp x) 1)))) (/ (cbrt (- (* (exp x) (exp x)) 1)) (sqrt (+ 1 (exp x)))))) * * * * [misc]progress: [ 86 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (- (* (exp x) (exp x)) (* 1 1))) (+ (exp x) 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (63 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (exp (+ x x)) 1)) (+ 1 (exp x))) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (/ (exp x) (/ (* (cbrt (- (* (exp x) (exp x)) (* 1 1))) (cbrt (- (* (exp x) (exp x)) (* 1 1)))) 1)) (/ (cbrt (- (exp (+ x x)) 1)) (+ 1 (exp x))))) * * * * [misc]progress: [ 87 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (* (exp x) (exp x)) (* 1 1))) (cbrt (+ (exp x) 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (64 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* (exp x) (exp x)) 1)) (cbrt (+ 1 (exp x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (/ (exp x) (/ (sqrt (- (* (exp x) (exp x)) (* 1 1))) (* (cbrt (+ (exp x) 1)) (cbrt (+ (exp x) 1))))) (/ (sqrt (- (* (exp x) (exp x)) 1)) (cbrt (+ 1 (exp x)))))) * * * * [misc]progress: [ 88 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (* (exp x) (exp x)) (* 1 1))) (sqrt (+ (exp x) 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (64 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* (exp x) (exp x)) 1)) (sqrt (+ 1 (exp x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (/ (exp x) (/ (sqrt (- (* (exp x) (exp x)) (* 1 1))) (sqrt (+ (exp x) 1)))) (/ (sqrt (- (* (exp x) (exp x)) 1)) (sqrt (+ 1 (exp x)))))) * * * * [misc]progress: [ 89 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (* (exp x) (exp x)) (* 1 1))) (+ (exp x) 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (63 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (exp (+ x x)) 1)) (+ 1 (exp x))) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (/ (exp x) (/ (sqrt (- (* (exp x) (exp x)) (* 1 1))) 1)) (/ (sqrt (- (exp (+ x x)) 1)) (+ 1 (exp x))))) * * * * [misc]progress: [ 90 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (* (exp x) (exp x)) (* 1 1)) (cbrt (+ (exp x) 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (97 enodes) * [exit]simplify: Simplified to (/ (- (exp (+ x x)) 1) (cbrt (+ 1 (exp x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (/ (exp x) (/ 1 (* (cbrt (+ (exp x) 1)) (cbrt (+ (exp x) 1))))) (/ (- (exp (+ x x)) 1) (cbrt (+ 1 (exp x)))))) * * * * [misc]progress: [ 91 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (* (exp x) (exp x)) (* 1 1)) (sqrt (+ (exp x) 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (97 enodes) * [exit]simplify: Simplified to (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) * * * * [misc]progress: [ 92 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (* (exp x) (exp x)) (* 1 1)) (+ (exp x) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (89 enodes) * [exit]simplify: Simplified to (- (exp x) 1) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (/ (exp x) (/ 1 1)) (- (exp x) 1))) * * * * [misc]progress: [ 93 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (exp x) 1) (cbrt (+ (exp x) 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (/ (- (exp x) 1) (cbrt (+ (exp x) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (/ (exp x) (/ (+ (exp x) 1) (* (cbrt (+ (exp x) 1)) (cbrt (+ (exp x) 1))))) (/ (- (exp x) 1) (cbrt (+ (exp x) 1))))) * * * * [misc]progress: [ 94 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (exp x) 1) (sqrt (+ (exp x) 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (/ (- (exp x) 1) (sqrt (+ (exp x) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (/ (exp x) (/ (+ (exp x) 1) (sqrt (+ (exp x) 1)))) (/ (- (exp x) 1) (sqrt (+ (exp x) 1))))) * * * * [misc]progress: [ 95 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (exp x) 1) (+ (exp x) 1)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * [exit]simplify: Simplified to (/ (- (exp x) 1) (+ (exp x) 1)) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (/ (exp x) (/ (+ (exp x) 1) 1)) (/ (- (exp x) 1) (+ (exp x) 1)))) * * * * [misc]progress: [ 96 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (* (exp x) (exp x)) (* 1 1)) (+ (exp x) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (89 enodes) * [exit]simplify: Simplified to (- (exp x) 1) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (/ (exp x) 1) (- (exp x) 1))) * * * * [misc]progress: [ 97 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (+ (exp x) 1)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (/ 1 (+ 1 (exp x))) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (/ (exp x) (- (* (exp x) (exp x)) (* 1 1))) (/ 1 (+ 1 (exp x))))) * * * * [misc]progress: [ 98 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * * [misc]simplify: iters left: 1 (110 enodes) * [exit]simplify: Simplified to (+ (exp (+ x x)) (- 1 (exp x))) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (/ (exp x) (/ (- (* (exp x) (exp x)) (* 1 1)) (+ (pow (exp x) 3) (pow 1 3)))) (+ (exp (+ x x)) (- 1 (exp x))))) * * * * [misc]progress: [ 99 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (- (exp x) 1) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (9 enodes) * [exit]simplify: Simplified to (- (exp x) 1) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (/ (exp x) (/ (- (* (exp x) (exp x)) (* 1 1)) (- (* (exp x) (exp x)) (* 1 1)))) (- (exp x) 1))) * * * * [misc]progress: [ 100 / 171 ] 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) to (λ (x) (/ (* (cbrt (exp x)) (cbrt (exp x))) (/ (/ (- (* (exp x) (exp x)) (* 1 1)) (+ (exp x) 1)) (cbrt (exp x))))) * * * * [misc]progress: [ 101 / 171 ] 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) to (λ (x) (/ (sqrt (exp x)) (/ (/ (- (* (exp x) (exp x)) (* 1 1)) (+ (exp x) 1)) (sqrt (exp x))))) * * * * [misc]progress: [ 102 / 171 ] simplifiying candidate # * * * * [misc]progress: [ 103 / 171 ] 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 2) to (λ (x) (* (/ (exp x) (- (* (exp x) (exp x)) (* 1 1))) (+ (exp x) 1))) * * * * [misc]progress: [ 104 / 171 ] simplifiying candidate # * * * * [misc]progress: [ 105 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (- (* (exp x) (exp x)) (* 1 1))) (log (+ (exp x) 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (+ (- (log (- (exp x) 1)) (log (+ 1 (exp x)))) (log (+ 1 (exp x)))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (/ (exp x) (exp (+ (- (log (- (exp x) 1)) (log (+ 1 (exp x)))) (log (+ 1 (exp x))))))) * * * * [misc]progress: [ 106 / 171 ] simplifiying candidate # * * * * [misc]progress: [ 107 / 171 ] simplifiying candidate # * * * * [misc]progress: [ 108 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (- (* (exp x) (exp x)) (* 1 1)) (- (* (exp x) (exp x)) (* 1 1))) (- (* (exp x) (exp x)) (* 1 1))) (* (* (+ (exp x) 1) (+ (exp x) 1)) (+ (exp x) 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * * [misc]simplify: iters left: 3 (434 enodes) * [exit]simplify: Simplified to (pow (- (exp x) 1) 3) * [misc]simplify: Simplified (2 2 1) to (λ (x) (/ (exp x) (cbrt (pow (- (exp x) 1) 3)))) * * * * [misc]progress: [ 109 / 171 ] simplifiying candidate # * * * * [misc]progress: [ 110 / 171 ] simplifiying candidate # * * * * [misc]progress: [ 111 / 171 ] simplifiying candidate # * * * * [misc]progress: [ 112 / 171 ] simplifiying candidate # * * * * [misc]progress: [ 113 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (exp x) (exp x)) (+ (exp x) 1)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * [exit]simplify: Simplified to (/ (* (exp x) (exp x)) (+ (exp x) 1)) * [misc]simplify: Simplified (2 2 1) to (λ (x) (/ (exp x) (- (/ (* (exp x) (exp x)) (+ (exp x) 1)) (/ (* 1 1) (+ (exp x) 1))))) * * * * [misc]progress: [ 114 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (* (exp x) (exp x)) (* 1 1))) (cbrt (- (* (exp x) (exp x)) (* 1 1)))) (* (cbrt (+ (exp x) 1)) (cbrt (+ (exp x) 1)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (87 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (exp (+ x x)) 1)) (cbrt (+ (exp x) 1))) (/ (cbrt (- (exp (+ x x)) 1)) (cbrt (+ (exp x) 1)))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (/ (exp x) (* (* (/ (cbrt (- (exp (+ x x)) 1)) (cbrt (+ (exp x) 1))) (/ (cbrt (- (exp (+ x x)) 1)) (cbrt (+ (exp x) 1)))) (/ (cbrt (- (* (exp x) (exp x)) (* 1 1))) (cbrt (+ (exp x) 1)))))) * [enter]simplify: Simplifying (/ (cbrt (- (* (exp x) (exp x)) (* 1 1))) (cbrt (+ (exp x) 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (64 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (* (exp x) (exp x)) 1)) (cbrt (+ 1 (exp x)))) * [misc]simplify: Simplified (2 2 2) to (λ (x) (/ (exp x) (* (* (/ (cbrt (- (exp (+ x x)) 1)) (cbrt (+ (exp x) 1))) (/ (cbrt (- (exp (+ x x)) 1)) (cbrt (+ (exp x) 1)))) (/ (cbrt (- (* (exp x) (exp x)) 1)) (cbrt (+ 1 (exp x))))))) * * * * [misc]progress: [ 115 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (* (exp x) (exp x)) (* 1 1))) (cbrt (- (* (exp x) (exp x)) (* 1 1)))) (sqrt (+ (exp x) 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (70 enodes) * [exit]simplify: Simplified to (* (cbrt (- (* (exp x) (exp x)) 1)) (/ (cbrt (- (* (exp x) (exp x)) 1)) (sqrt (+ 1 (exp x))))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (/ (exp x) (* (* (cbrt (- (* (exp x) (exp x)) 1)) (/ (cbrt (- (* (exp x) (exp x)) 1)) (sqrt (+ 1 (exp x))))) (/ (cbrt (- (* (exp x) (exp x)) (* 1 1))) (sqrt (+ (exp x) 1)))))) * [enter]simplify: Simplifying (/ (cbrt (- (* (exp x) (exp x)) (* 1 1))) (sqrt (+ (exp x) 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (64 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (* (exp x) (exp x)) 1)) (sqrt (+ 1 (exp x)))) * [misc]simplify: Simplified (2 2 2) to (λ (x) (/ (exp x) (* (* (cbrt (- (* (exp x) (exp x)) 1)) (/ (cbrt (- (* (exp x) (exp x)) 1)) (sqrt (+ 1 (exp x))))) (/ (cbrt (- (* (exp x) (exp x)) 1)) (sqrt (+ 1 (exp x))))))) * * * * [misc]progress: [ 116 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (* (exp x) (exp x)) (* 1 1))) (cbrt (- (* (exp x) (exp x)) (* 1 1)))) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (110 enodes) * [exit]simplify: Simplified to (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (/ (exp x) (* (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (/ (cbrt (- (* (exp x) (exp x)) (* 1 1))) (+ (exp x) 1))))) * [enter]simplify: Simplifying (/ (cbrt (- (* (exp x) (exp x)) (* 1 1))) (+ (exp x) 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (63 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (exp (+ x x)) 1)) (+ 1 (exp x))) * [misc]simplify: Simplified (2 2 2) to (λ (x) (/ (exp x) (* (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (/ (cbrt (- (exp (+ x x)) 1)) (+ 1 (exp x)))))) * * * * [misc]progress: [ 117 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (* (exp x) (exp x)) (* 1 1))) (* (cbrt (+ (exp x) 1)) (cbrt (+ (exp x) 1)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (67 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* (exp x) (exp x)) 1)) (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x))))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (/ (exp x) (* (/ (sqrt (- (* (exp x) (exp x)) 1)) (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x))))) (/ (sqrt (- (* (exp x) (exp x)) (* 1 1))) (cbrt (+ (exp x) 1)))))) * [enter]simplify: Simplifying (/ (sqrt (- (* (exp x) (exp x)) (* 1 1))) (cbrt (+ (exp x) 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (64 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* (exp x) (exp x)) 1)) (cbrt (+ 1 (exp x)))) * [misc]simplify: Simplified (2 2 2) to (λ (x) (/ (exp x) (* (/ (sqrt (- (* (exp x) (exp x)) 1)) (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x))))) (/ (sqrt (- (* (exp x) (exp x)) 1)) (cbrt (+ 1 (exp x))))))) * * * * [misc]progress: [ 118 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (* (exp x) (exp x)) (* 1 1))) (sqrt (+ (exp x) 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (64 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* (exp x) (exp x)) 1)) (sqrt (+ 1 (exp x)))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (/ (exp x) (* (/ (sqrt (- (* (exp x) (exp x)) 1)) (sqrt (+ 1 (exp x)))) (/ (sqrt (- (* (exp x) (exp x)) (* 1 1))) (sqrt (+ (exp x) 1)))))) * [enter]simplify: Simplifying (/ (sqrt (- (* (exp x) (exp x)) (* 1 1))) (sqrt (+ (exp x) 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (64 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* (exp x) (exp x)) 1)) (sqrt (+ 1 (exp x)))) * [misc]simplify: Simplified (2 2 2) to (λ (x) (/ (exp x) (* (/ (sqrt (- (* (exp x) (exp x)) 1)) (sqrt (+ 1 (exp x)))) (/ (sqrt (- (* (exp x) (exp x)) 1)) (sqrt (+ 1 (exp x))))))) * * * * [misc]progress: [ 119 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (* (exp x) (exp x)) (* 1 1))) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (64 enodes) * [exit]simplify: Simplified to (sqrt (- (* (exp x) (exp x)) 1)) * [misc]simplify: Simplified (2 2 1) to (λ (x) (/ (exp x) (* (sqrt (- (* (exp x) (exp x)) 1)) (/ (sqrt (- (* (exp x) (exp x)) (* 1 1))) (+ (exp x) 1))))) * [enter]simplify: Simplifying (/ (sqrt (- (* (exp x) (exp x)) (* 1 1))) (+ (exp x) 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (63 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (exp (+ x x)) 1)) (+ 1 (exp x))) * [misc]simplify: Simplified (2 2 2) to (λ (x) (/ (exp x) (* (sqrt (- (* (exp x) (exp x)) 1)) (/ (sqrt (- (exp (+ x x)) 1)) (+ 1 (exp x)))))) * * * * [misc]progress: [ 120 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (+ (exp x) 1)) (cbrt (+ (exp x) 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (+ 1 (exp x)))) (cbrt (+ 1 (exp x)))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (/ (exp x) (* (/ (/ 1 (cbrt (+ 1 (exp x)))) (cbrt (+ 1 (exp x)))) (/ (- (* (exp x) (exp x)) (* 1 1)) (cbrt (+ (exp x) 1)))))) * [enter]simplify: Simplifying (/ (- (* (exp x) (exp x)) (* 1 1)) (cbrt (+ (exp x) 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (97 enodes) * [exit]simplify: Simplified to (/ (- (exp (+ x x)) 1) (cbrt (+ 1 (exp x)))) * [misc]simplify: Simplified (2 2 2) to (λ (x) (/ (exp x) (* (/ 1 (* (cbrt (+ (exp x) 1)) (cbrt (+ (exp x) 1)))) (/ (- (exp (+ x x)) 1) (cbrt (+ 1 (exp x))))))) * * * * [misc]progress: [ 121 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (+ (exp x) 1))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (+ 1 (exp x)))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (/ (exp x) (* (/ 1 (sqrt (+ 1 (exp x)))) (/ (- (* (exp x) (exp x)) (* 1 1)) (sqrt (+ (exp x) 1)))))) * [enter]simplify: Simplifying (/ (- (* (exp x) (exp x)) (* 1 1)) (sqrt (+ (exp x) 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (97 enodes) * [exit]simplify: Simplified to (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))) * [misc]simplify: Simplified (2 2 2) to (λ (x) (/ (exp x) (* (/ 1 (sqrt (+ (exp x) 1))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))))) * * * * [misc]progress: [ 122 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1) to (λ (x) (/ (exp x) (* 1 (/ (- (* (exp x) (exp x)) (* 1 1)) (+ (exp x) 1))))) * [enter]simplify: Simplifying (/ (- (* (exp x) (exp x)) (* 1 1)) (+ (exp x) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (89 enodes) * [exit]simplify: Simplified to (- (exp x) 1) * [misc]simplify: Simplified (2 2 2) to (λ (x) (/ (exp x) (* 1 (- (exp x) 1)))) * * * * [misc]progress: [ 123 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (exp x) 1) (* (cbrt (+ (exp x) 1)) (cbrt (+ (exp x) 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (+ (exp x) 1) (* (cbrt (+ (exp x) 1)) (cbrt (+ (exp x) 1)))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (/ (exp x) (* (/ (+ (exp x) 1) (* (cbrt (+ (exp x) 1)) (cbrt (+ (exp x) 1)))) (/ (- (exp x) 1) (cbrt (+ (exp x) 1)))))) * [enter]simplify: Simplifying (/ (- (exp x) 1) (cbrt (+ (exp x) 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (/ (- (exp x) 1) (cbrt (+ (exp x) 1))) * [misc]simplify: Simplified (2 2 2) to (λ (x) (/ (exp x) (* (/ (+ (exp x) 1) (* (cbrt (+ (exp x) 1)) (cbrt (+ (exp x) 1)))) (/ (- (exp x) 1) (cbrt (+ (exp x) 1)))))) * * * * [misc]progress: [ 124 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (exp x) 1) (sqrt (+ (exp x) 1))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ (+ (exp x) 1) (sqrt (+ (exp x) 1))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (/ (exp x) (* (/ (+ (exp x) 1) (sqrt (+ (exp x) 1))) (/ (- (exp x) 1) (sqrt (+ (exp x) 1)))))) * [enter]simplify: Simplifying (/ (- (exp x) 1) (sqrt (+ (exp x) 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (/ (- (exp x) 1) (sqrt (+ (exp x) 1))) * [misc]simplify: Simplified (2 2 2) to (λ (x) (/ (exp x) (* (/ (+ (exp x) 1) (sqrt (+ (exp x) 1))) (/ (- (exp x) 1) (sqrt (+ (exp x) 1)))))) * * * * [misc]progress: [ 125 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (exp x) 1) 1) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (+ (exp x) 1) * [misc]simplify: Simplified (2 2 1) to (λ (x) (/ (exp x) (* (+ (exp x) 1) (/ (- (exp x) 1) (+ (exp x) 1))))) * [enter]simplify: Simplifying (/ (- (exp x) 1) (+ (exp x) 1)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * [exit]simplify: Simplified to (/ (- (exp x) 1) (+ (exp x) 1)) * [misc]simplify: Simplified (2 2 2) to (λ (x) (/ (exp x) (* (+ (exp x) 1) (/ (- (exp x) 1) (+ (exp x) 1))))) * * * * [misc]progress: [ 126 / 171 ] simplifiying candidate # * * * * [misc]progress: [ 127 / 171 ] simplifiying candidate # * * * * [misc]progress: [ 128 / 171 ] simplifiying candidate # * * * * [misc]progress: [ 129 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (exp x) 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (cbrt (+ (exp x) 1)) * [misc]simplify: Simplified (2 2 2) to (λ (x) (/ (exp x) (/ (/ (- (* (exp x) (exp x)) (* 1 1)) (* (cbrt (+ (exp x) 1)) (cbrt (+ (exp x) 1)))) (cbrt (+ (exp x) 1))))) * * * * [misc]progress: [ 130 / 171 ] 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 2) to (λ (x) (/ (exp x) (/ (/ (- (* (exp x) (exp x)) (* 1 1)) (sqrt (+ (exp x) 1))) (sqrt (+ (exp x) 1))))) * * * * [misc]progress: [ 131 / 171 ] 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 2 2) to (λ (x) (/ (exp x) (/ (/ (- (* (exp x) (exp x)) (* 1 1)) 1) (+ (exp x) 1)))) * * * * [misc]progress: [ 132 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (* (exp x) (exp x)) (* 1 1))) (cbrt (- (* (exp x) (exp x)) (* 1 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (63 enodes) * [exit]simplify: Simplified to (* (cbrt (- (* (exp x) (exp x)) 1)) (cbrt (- (* (exp x) (exp x)) 1))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (/ (exp x) (/ (* (cbrt (- (* (exp x) (exp x)) 1)) (cbrt (- (* (exp x) (exp x)) 1))) (/ (+ (exp x) 1) (cbrt (- (* (exp x) (exp x)) (* 1 1))))))) * * * * [misc]progress: [ 133 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (* (exp x) (exp x)) (* 1 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (62 enodes) * [exit]simplify: Simplified to (sqrt (- (exp (+ x x)) 1)) * [misc]simplify: Simplified (2 2 1) to (λ (x) (/ (exp x) (/ (sqrt (- (exp (+ x x)) 1)) (/ (+ (exp x) 1) (sqrt (- (* (exp x) (exp x)) (* 1 1))))))) * * * * [misc]progress: [ 134 / 171 ] simplifiying candidate # * * * * [misc]progress: [ 135 / 171 ] 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 2 1) to (λ (x) (/ (exp x) (/ (+ (exp x) 1) (/ (+ (exp x) 1) (- (exp x) 1))))) * * * * [misc]progress: [ 136 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * * [misc]simplify: iters left: 1 (110 enodes) * [exit]simplify: Simplified to (+ (exp (+ x x)) (- 1 (exp x))) * [misc]simplify: Simplified (2 2 2) to (λ (x) (/ (exp x) (* (/ (- (* (exp x) (exp x)) (* 1 1)) (+ (pow (exp x) 3) (pow 1 3))) (+ (exp (+ x x)) (- 1 (exp x)))))) * * * * [misc]progress: [ 137 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (- (exp x) 1) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (9 enodes) * [exit]simplify: Simplified to (- (exp x) 1) * [misc]simplify: Simplified (2 2 2) to (λ (x) (/ (exp x) (* (/ (- (* (exp x) (exp x)) (* 1 1)) (- (* (exp x) (exp x)) (* 1 1))) (- (exp x) 1)))) * * * * [misc]progress: [ 138 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (* (exp x) (exp x)) 3) (pow (* 1 1) 3)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (154 enodes) * [exit]simplify: Simplified to (- (pow (* (exp x) (exp x)) 3) 1) * [misc]simplify: Simplified (2 2 1) to (λ (x) (/ (exp x) (/ (- (pow (* (exp x) (exp x)) 3) 1) (* (+ (exp x) 1) (+ (* (* (exp x) (exp x)) (* (exp x) (exp x))) (+ (* (* 1 1) (* 1 1)) (* (* (exp x) (exp x)) (* 1 1)))))))) * * * * [misc]progress: [ 139 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (exp x) (exp x)) (* (exp x) (exp x))) (* (* 1 1) (* 1 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (146 enodes) * [exit]simplify: Simplified to (- (pow (exp x) (+ 3 1)) 1) * [misc]simplify: Simplified (2 2 1) to (λ (x) (/ (exp x) (/ (- (pow (exp x) (+ 3 1)) 1) (* (+ (exp x) 1) (+ (* (exp x) (exp x)) (* 1 1)))))) * * * * [misc]progress: [ 140 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (exp x) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (exp x) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (/ (exp x) (/ (- (pow (exp x) (+ 1 1)) (* 1 1)) (+ (exp x) 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 1 1 2) to (λ (x) (/ (exp x) (/ (- (pow (exp x) (+ 1 1)) (* 1 1)) (+ (exp x) 1)))) * * * * [misc]progress: [ 141 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (* (exp x) (exp x)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (* (exp x) (exp x)) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (/ (exp x) (/ (- (pow (* (exp x) (exp x)) 1) (* 1 1)) (+ (exp x) 1)))) * * * * [misc]progress: [ 142 / 171 ] simplifiying candidate # * * * * [misc]progress: [ 143 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (exp x) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (exp x) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (/ (exp x) (/ (- (pow (exp x) (+ 1 1)) (* 1 1)) (+ (exp x) 1)))) * * * * [misc]progress: [ 144 / 171 ] simplifiying candidate # * * * * [misc]progress: [ 145 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (+ x x) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (+ x x) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (/ (exp x) (/ (- (exp (+ x x)) (* 1 1)) (+ (exp x) 1)))) * * * * [misc]progress: [ 146 / 171 ] simplifiying candidate # * * * * [misc]progress: [ 147 / 171 ] simplifiying candidate # * * * * [misc]progress: [ 148 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (exp x) (exp x)) (exp x)) (* (* (exp x) (exp x)) (exp x))) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (111 enodes) * [exit]simplify: Simplified to (* (pow (exp x) 3) (pow (exp x) 3)) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (/ (exp x) (/ (- (cbrt (* (pow (exp x) 3) (pow (exp x) 3))) (* 1 1)) (+ (exp x) 1)))) * * * * [misc]progress: [ 149 / 171 ] simplifiying candidate # * * * * [misc]progress: [ 150 / 171 ] simplifiying candidate # * * * * [misc]progress: [ 151 / 171 ] simplifiying candidate # * * * * [misc]progress: [ 152 / 171 ] simplifiying candidate # * * * * [misc]progress: [ 153 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (exp x)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (cbrt (exp x)) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (/ (exp x) (/ (- (* (* (exp x) (* (cbrt (exp x)) (cbrt (exp x)))) (cbrt (exp x))) (* 1 1)) (+ (exp x) 1)))) * * * * [misc]progress: [ 154 / 171 ] 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 2 1 1 2) to (λ (x) (/ (exp x) (/ (- (* (* (exp x) (sqrt (exp x))) (sqrt (exp x))) (* 1 1)) (+ (exp x) 1)))) * * * * [misc]progress: [ 155 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (exp x) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (exp x) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (/ (exp x) (/ (- (* (* (exp x) 1) (exp x)) (* 1 1)) (+ (exp x) 1)))) * * * * [misc]progress: [ 156 / 171 ] 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 2 1 1 1) to (λ (x) (/ (exp x) (/ (- (* (* (cbrt (exp x)) (cbrt (exp x))) (* (cbrt (exp x)) (exp x))) (* 1 1)) (+ (exp x) 1)))) * * * * [misc]progress: [ 157 / 171 ] 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 2 1 1 1) to (λ (x) (/ (exp x) (/ (- (* (sqrt (exp x)) (* (sqrt (exp x)) (exp x))) (* 1 1)) (+ (exp x) 1)))) * * * * [misc]progress: [ 158 / 171 ] simplifiying candidate # * * * * [misc]progress: [ 159 / 171 ] simplifiying candidate # * * * * [misc]progress: [ 160 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 2 x) (+ (* 4/3 (pow x 3)) (* 2 (pow x 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (157 enodes) * * [misc]simplify: iters left: 1 (249 enodes) * [exit]simplify: Simplified to (+ (* (+ 1 x) (* 2 x)) (* (* 4/3 x) (* x x))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (/ (exp x) (/ (+ (* (+ 1 x) (* 2 x)) (* (* 4/3 x) (* x x))) (+ (exp x) 1)))) * * * * [misc]progress: [ 161 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (exp x) 2) 1) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (20 enodes) * [exit]simplify: Simplified to (- (* (exp x) (exp x)) 1) * [misc]simplify: Simplified (2 2 1) to (λ (x) (/ (exp x) (/ (- (* (exp x) (exp x)) 1) (+ (exp x) 1)))) * * * * [misc]progress: [ 162 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (exp x) 2) 1) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (20 enodes) * [exit]simplify: Simplified to (- (* (exp x) (exp x)) 1) * [misc]simplify: Simplified (2 2 1) to (λ (x) (/ (exp x) (/ (- (* (exp x) (exp x)) 1) (+ (exp x) 1)))) * * * * [misc]progress: [ 163 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/12 x) (+ (/ 1 x) 1/2)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (+ (+ 1/2 (* 1/12 x)) (/ 1 x)) * [misc]simplify: Simplified (2) to (λ (x) (+ (+ 1/2 (* 1/12 x)) (/ 1 x))) * * * * [misc]progress: [ 164 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (exp x) (+ (exp x) 1)) (- (pow (exp x) 2) 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (105 enodes) * * [misc]simplify: iters left: 2 (231 enodes) * [exit]simplify: Simplified to (/ (+ (* (exp x) (exp x)) (exp x)) (- (* (exp x) (exp x)) 1)) * [misc]simplify: Simplified (2) to (λ (x) (/ (+ (* (exp x) (exp x)) (exp x)) (- (* (exp x) (exp x)) 1))) * * * * [misc]progress: [ 165 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (exp x) (+ (exp x) 1)) (- (pow (exp x) 2) 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (105 enodes) * * [misc]simplify: iters left: 2 (231 enodes) * [exit]simplify: Simplified to (/ (+ (* (exp x) (exp x)) (exp x)) (- (* (exp x) (exp x)) 1)) * [misc]simplify: Simplified (2) to (λ (x) (/ (+ (* (exp x) (exp x)) (exp x)) (- (* (exp x) (exp x)) 1))) * * * * [misc]progress: [ 166 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (113 enodes) * * [misc]simplify: iters left: 1 (182 enodes) * [exit]simplify: Simplified to (+ x (* (+ (* x 1/6) 1/2) (* x x))) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (exp x) (+ x (* (+ (* x 1/6) 1/2) (* x x))))) * * * * [misc]progress: [ 167 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (pow (exp x) 2) 1) (+ (exp x) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (86 enodes) * [exit]simplify: Simplified to (- (exp x) 1) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (exp x) (- (exp x) 1))) * * * * [misc]progress: [ 168 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (pow (exp x) 2) 1) (+ (exp x) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (86 enodes) * [exit]simplify: Simplified to (- (exp x) 1) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (exp x) (- (exp x) 1))) * * * * [misc]progress: [ 169 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 2 x) (+ (* 2 (pow x 2)) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (+ 1 (* (+ x 1) (* 2 x))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (/ (exp x) (/ (- (+ 1 (* (+ x 1) (* 2 x))) (* 1 1)) (+ (exp x) 1)))) * * * * [misc]progress: [ 170 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (exp x) 2) * * [misc]simplify: iters left: 2 (4 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (* (exp x) (exp x)) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (/ (exp x) (/ (- (* (exp x) (exp x)) (* 1 1)) (+ (exp x) 1)))) * * * * [misc]progress: [ 171 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (exp x) 2) * * [misc]simplify: iters left: 2 (4 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (* (exp x) (exp x)) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (/ (exp x) (/ (- (* (exp x) (exp x)) (* 1 1)) (+ (exp x) 1)))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 4 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 1) * [misc]approximate: Taking taylor expansion of (- (exp (+ x x)) 1) in (x) around 0 * [misc]taylor: Taking taylor expansion of (- (exp (+ x x)) 1) in x * [misc]taylor: Taking taylor expansion of (exp (+ x x)) in x * [misc]taylor: Taking taylor expansion of (+ x x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [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 x)) 1) in x * [misc]taylor: Taking taylor expansion of (exp (+ x x)) in x * [misc]taylor: Taking taylor expansion of (+ x x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [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) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 2 1) 1)))) into 2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 2 0) into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 2 2) 2)) (* (/ (pow 0 1) 1)))) into 2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 2 0) into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 2 3) 6)) (* (/ (pow 2 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 4/3 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 4/3 0) into 4/3 * [misc]backup-simplify: Simplify 4/3 into 4/3 * [misc]backup-simplify: Simplify (+ (* 4/3 (pow x 3)) (+ (* 2 (pow x 2)) (* 2 x))) into (+ (* 2 x) (+ (* 4/3 (pow x 3)) (* 2 (pow x 2)))) * [misc]approximate: Taking taylor expansion of (- (exp (+ (/ 1 x) (/ 1 x))) 1) in (x) around 0 * [misc]taylor: Taking taylor expansion of (- (exp (+ (/ 1 x) (/ 1 x))) 1) in x * [misc]taylor: Taking taylor expansion of (exp (+ (/ 1 x) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (/ 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]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (exp (+ (/ 1 x) (/ 1 x))) into (exp (* 2 (/ 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 x))) 1) in x * [misc]taylor: Taking taylor expansion of (exp (+ (/ 1 x) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (/ 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]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (exp (+ (/ 1 x) (/ 1 x))) into (exp (* 2 (/ 1 x))) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (* 2 (/ 1 x))) -1) into (- (exp (/ 2 x)) 1) * [misc]backup-simplify: Simplify (- (exp (/ 2 x)) 1) into (- (exp (/ 2 x)) 1) * [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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (exp (/ 2 (/ 1 x))) 1) into (- (exp (* 2 x)) 1) * [misc]approximate: Taking taylor expansion of (- (exp (+ (/ 1 (- x)) (/ 1 (- x)))) 1) in (x) around 0 * [misc]taylor: Taking taylor expansion of (- (exp (+ (/ 1 (- x)) (/ 1 (- x)))) 1) in x * [misc]taylor: Taking taylor expansion of (exp (+ (/ 1 (- x)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (/ 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]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 -1) into -2 * [misc]backup-simplify: Simplify (exp (+ (/ 1 (- x)) (/ 1 (- x)))) into (exp (- (* 2 (/ 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 (- x)))) 1) in x * [misc]taylor: Taking taylor expansion of (exp (+ (/ 1 (- x)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (/ 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]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 -1) into -2 * [misc]backup-simplify: Simplify (exp (+ (/ 1 (- x)) (/ 1 (- x)))) into (exp (- (* 2 (/ 1 x)))) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (- (* 2 (/ 1 x)))) -1) into (- (exp (- (* 2 (/ 1 x)))) 1) * [misc]backup-simplify: Simplify (- (exp (- (* 2 (/ 1 x)))) 1) into (- (exp (- (* 2 (/ 1 x)))) 1) * [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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (exp (- (* 2 (/ 1 (/ 1 (- x)))))) 1) into (- (exp (* 2 x)) 1) * * * * [misc]progress: [ 2 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))) in x * [misc]taylor: Taking taylor expansion of (/ (exp x) (/ 1 (sqrt (+ (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 (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 (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) * [misc]backup-simplify: Simplify (/ 1 (/ 1 (sqrt 2))) into (sqrt 2) * [misc]taylor: Taking taylor expansion of (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))) in x * [misc]taylor: Taking taylor expansion of (- (exp (+ x x)) 1) in x * [misc]taylor: Taking taylor expansion of (exp (+ x x)) in x * [misc]taylor: Taking taylor expansion of (+ x x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [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 (sqrt (+ 1 (exp x))) in x * [misc]taylor: Taking taylor expansion of (+ 1 (exp x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 2))) into (/ 1/2 (sqrt 2)) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 2 1) 1)))) into 2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 2 0) into 2 * [misc]backup-simplify: Simplify (/ 2 (sqrt 2)) into (/ 2 (sqrt 2)) * [misc]backup-simplify: Simplify (/ (sqrt 2) (/ 2 (sqrt 2))) into (* 1/2 (pow (sqrt 2) 2)) * [misc]taylor: Taking taylor expansion of (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))) in x * [misc]taylor: Taking taylor expansion of (/ (exp x) (/ 1 (sqrt (+ (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 (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 (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) * [misc]backup-simplify: Simplify (/ 1 (/ 1 (sqrt 2))) into (sqrt 2) * [misc]taylor: Taking taylor expansion of (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))) in x * [misc]taylor: Taking taylor expansion of (- (exp (+ x x)) 1) in x * [misc]taylor: Taking taylor expansion of (exp (+ x x)) in x * [misc]taylor: Taking taylor expansion of (+ x x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [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 (sqrt (+ 1 (exp x))) in x * [misc]taylor: Taking taylor expansion of (+ 1 (exp x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 2))) into (/ 1/2 (sqrt 2)) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 2 1) 1)))) into 2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 2 0) into 2 * [misc]backup-simplify: Simplify (/ 2 (sqrt 2)) into (/ 2 (sqrt 2)) * [misc]backup-simplify: Simplify (/ (sqrt 2) (/ 2 (sqrt 2))) into (* 1/2 (pow (sqrt 2) 2)) * [misc]backup-simplify: Simplify (* 1/2 (pow (sqrt 2) 2)) into (* 1/2 (pow (sqrt 2) 2)) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt 2)) (/ (/ 1/2 (sqrt 2)) (sqrt 2))))) into (- (* 1/2 (/ 1 (pow (sqrt 2) 3)))) * [misc]backup-simplify: Simplify (- (/ 1 (/ 1 (sqrt 2))) (+ (* (sqrt 2) (/ (- (* 1/2 (/ 1 (pow (sqrt 2) 3)))) (/ 1 (sqrt 2)))))) into (+ (* 1/2 (/ 1 (sqrt 2))) (sqrt 2)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 2 2) 2)) (* (/ (pow 0 1) 1)))) into 2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 2 0) into 2 * [misc]backup-simplify: Simplify (- (/ 2 (sqrt 2)) (+ (* (/ 2 (sqrt 2)) (/ (/ 1/2 (sqrt 2)) (sqrt 2))))) into (- (* 2 (/ 1 (sqrt 2))) (/ 1 (pow (sqrt 2) 3))) * [misc]backup-simplify: Simplify (- (/ (+ (* 1/2 (/ 1 (sqrt 2))) (sqrt 2)) (/ 2 (sqrt 2))) (+ (* (* 1/2 (pow (sqrt 2) 2)) (/ (- (* 2 (/ 1 (sqrt 2))) (/ 1 (pow (sqrt 2) 3))) (/ 2 (sqrt 2)))))) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (* (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 (sqrt 2)) (/ (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))) (sqrt 2))) (* (- (* 1/2 (/ 1 (pow (sqrt 2) 3)))) (/ (/ 1/2 (sqrt 2)) (sqrt 2))))) into (- (* 3/8 (/ 1 (pow (sqrt 2) 5))) (* 1/4 (/ 1 (pow (sqrt 2) 3)))) * [misc]backup-simplify: Simplify (- (/ 1/2 (/ 1 (sqrt 2))) (+ (* (sqrt 2) (/ (- (* 3/8 (/ 1 (pow (sqrt 2) 5))) (* 1/4 (/ 1 (pow (sqrt 2) 3)))) (/ 1 (sqrt 2)))) (* (+ (* 1/2 (/ 1 (sqrt 2))) (sqrt 2)) (/ (- (* 1/2 (/ 1 (pow (sqrt 2) 3)))) (/ 1 (sqrt 2)))))) into (- (+ (* 3/4 (/ 1 (sqrt 2))) (* 1/2 (sqrt 2))) (* 1/8 (/ 1 (pow (sqrt 2) 3)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 2 3) 6)) (* (/ (pow 2 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 4/3 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 4/3 0) into 4/3 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (/ (- 1/2 (pow (/ 1/2 (sqrt 2)) 2) (+)) (* 2 (sqrt 2))) into (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))) * [misc]backup-simplify: Simplify (- (/ 4/3 (sqrt 2)) (+ (* (/ 2 (sqrt 2)) (/ (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))) (sqrt 2))) (* (- (* 2 (/ 1 (sqrt 2))) (/ 1 (pow (sqrt 2) 3))) (/ (/ 1/2 (sqrt 2)) (sqrt 2))))) into (- (+ (* 4/3 (/ 1 (sqrt 2))) (* 3/4 (/ 1 (pow (sqrt 2) 5)))) (* 3/2 (/ 1 (pow (sqrt 2) 3)))) * [misc]backup-simplify: Simplify (- (/ (- (+ (* 3/4 (/ 1 (sqrt 2))) (* 1/2 (sqrt 2))) (* 1/8 (/ 1 (pow (sqrt 2) 3)))) (/ 2 (sqrt 2))) (+ (* (* 1/2 (pow (sqrt 2) 2)) (/ (- (+ (* 4/3 (/ 1 (sqrt 2))) (* 3/4 (/ 1 (pow (sqrt 2) 5)))) (* 3/2 (/ 1 (pow (sqrt 2) 3)))) (/ 2 (sqrt 2)))) (* 1/2 (/ (- (* 2 (/ 1 (sqrt 2))) (/ 1 (pow (sqrt 2) 3))) (/ 2 (sqrt 2)))))) into (- 1/4 (* 1/12 (pow (sqrt 2) 2))) * [misc]backup-simplify: Simplify (- 1/4 (* 1/12 (pow (sqrt 2) 2))) into (- 1/4 (* 1/12 (pow (sqrt 2) 2))) * [misc]backup-simplify: Simplify (+ (* (- 1/4 (* 1/12 (pow (sqrt 2) 2))) x) (+ 1/2 (* (* 1/2 (pow (sqrt 2) 2)) (/ 1 x)))) into (- (+ (* 1/4 x) (+ (* 1/2 (/ (pow (sqrt 2) 2) x)) 1/2)) (* 1/12 (* (pow (sqrt 2) 2) x))) * [misc]approximate: Taking taylor expansion of (/ (/ (exp (/ 1 x)) (/ 1 (sqrt (+ (exp (/ 1 x)) 1)))) (/ (- (exp (+ (/ 1 x) (/ 1 x))) 1) (sqrt (+ 1 (exp (/ 1 x)))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (exp (/ 1 x)) (/ 1 (sqrt (+ (exp (/ 1 x)) 1)))) (/ (- (exp (+ (/ 1 x) (/ 1 x))) 1) (sqrt (+ 1 (exp (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of (/ (exp (/ 1 x)) (/ 1 (sqrt (+ (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 (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 (/ 1 (sqrt (+ (exp (/ 1 x)) 1))) into (sqrt (/ 1 (+ (exp (/ 1 x)) 1))) * [misc]backup-simplify: Simplify (/ (exp (/ 1 x)) (sqrt (/ 1 (+ (exp (/ 1 x)) 1)))) into (* (exp (/ 1 x)) (sqrt (+ (exp (/ 1 x)) 1))) * [misc]taylor: Taking taylor expansion of (/ (- (exp (+ (/ 1 x) (/ 1 x))) 1) (sqrt (+ 1 (exp (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (- (exp (+ (/ 1 x) (/ 1 x))) 1) in x * [misc]taylor: Taking taylor expansion of (exp (+ (/ 1 x) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (/ 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]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (exp (+ (/ 1 x) (/ 1 x))) into (exp (* 2 (/ 1 x))) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (exp (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]backup-simplify: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (/ 1 x)) 1)) into (sqrt (+ (exp (/ 1 x)) 1)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (/ 1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (* 2 (/ 1 x))) -1) into (- (exp (/ 2 x)) 1) * [misc]backup-simplify: Simplify (/ (- (exp (/ 2 x)) 1) (sqrt (+ (exp (/ 1 x)) 1))) into (* (- (exp (/ 2 x)) 1) (sqrt (/ 1 (+ (exp (/ 1 x)) 1)))) * [misc]backup-simplify: Simplify (/ (* (exp (/ 1 x)) (sqrt (+ (exp (/ 1 x)) 1))) (* (- (exp (/ 2 x)) 1) (sqrt (/ 1 (+ (exp (/ 1 x)) 1))))) into (/ (* (exp (/ 1 x)) (+ (exp (/ 1 x)) 1)) (- (exp (/ 2 x)) 1)) * [misc]taylor: Taking taylor expansion of (/ (/ (exp (/ 1 x)) (/ 1 (sqrt (+ (exp (/ 1 x)) 1)))) (/ (- (exp (+ (/ 1 x) (/ 1 x))) 1) (sqrt (+ 1 (exp (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of (/ (exp (/ 1 x)) (/ 1 (sqrt (+ (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 (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 (/ 1 (sqrt (+ (exp (/ 1 x)) 1))) into (sqrt (/ 1 (+ (exp (/ 1 x)) 1))) * [misc]backup-simplify: Simplify (/ (exp (/ 1 x)) (sqrt (/ 1 (+ (exp (/ 1 x)) 1)))) into (* (exp (/ 1 x)) (sqrt (+ (exp (/ 1 x)) 1))) * [misc]taylor: Taking taylor expansion of (/ (- (exp (+ (/ 1 x) (/ 1 x))) 1) (sqrt (+ 1 (exp (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (- (exp (+ (/ 1 x) (/ 1 x))) 1) in x * [misc]taylor: Taking taylor expansion of (exp (+ (/ 1 x) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (/ 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]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (exp (+ (/ 1 x) (/ 1 x))) into (exp (* 2 (/ 1 x))) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (exp (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]backup-simplify: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (/ 1 x)) 1)) into (sqrt (+ (exp (/ 1 x)) 1)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (/ 1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (* 2 (/ 1 x))) -1) into (- (exp (/ 2 x)) 1) * [misc]backup-simplify: Simplify (/ (- (exp (/ 2 x)) 1) (sqrt (+ (exp (/ 1 x)) 1))) into (* (- (exp (/ 2 x)) 1) (sqrt (/ 1 (+ (exp (/ 1 x)) 1)))) * [misc]backup-simplify: Simplify (/ (* (exp (/ 1 x)) (sqrt (+ (exp (/ 1 x)) 1))) (* (- (exp (/ 2 x)) 1) (sqrt (/ 1 (+ (exp (/ 1 x)) 1))))) into (/ (* (exp (/ 1 x)) (+ (exp (/ 1 x)) 1)) (- (exp (/ 2 x)) 1)) * [misc]backup-simplify: Simplify (/ (* (exp (/ 1 x)) (+ (exp (/ 1 x)) 1)) (- (exp (/ 2 x)) 1)) into (/ (* (exp (/ 1 x)) (+ (exp (/ 1 x)) 1)) (- (exp (/ 2 x)) 1)) * [misc]backup-simplify: Simplify (- (+ (* (sqrt (/ 1 (+ (exp (/ 1 x)) 1))) (/ 0 (sqrt (+ (exp (/ 1 x)) 1)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (/ 1 (+ (exp (/ 1 x)) 1)))) (+ (* (* (exp (/ 1 x)) (sqrt (+ (exp (/ 1 x)) 1))) (/ 0 (sqrt (/ 1 (+ (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 (sqrt (+ (exp (/ 1 x)) 1))) (+ (* (* (- (exp (/ 2 x)) 1) (sqrt (/ 1 (+ (exp (/ 1 x)) 1)))) (/ 0 (sqrt (+ (exp (/ 1 x)) 1)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* (- (exp (/ 2 x)) 1) (sqrt (/ 1 (+ (exp (/ 1 x)) 1))))) (+ (* (/ (* (exp (/ 1 x)) (+ (exp (/ 1 x)) 1)) (- (exp (/ 2 x)) 1)) (/ 0 (* (- (exp (/ 2 x)) 1) (sqrt (/ 1 (+ (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 (sqrt (+ (exp (/ 1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (sqrt (/ 1 (+ (exp (/ 1 x)) 1))) (/ 0 (sqrt (+ (exp (/ 1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (exp (/ 1 x)) 1)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (/ 1 (+ (exp (/ 1 x)) 1)))) (+ (* (* (exp (/ 1 x)) (sqrt (+ (exp (/ 1 x)) 1))) (/ 0 (sqrt (/ 1 (+ (exp (/ 1 x)) 1))))) (* 0 (/ 0 (sqrt (/ 1 (+ (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 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (/ 1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ (exp (/ 1 x)) 1))) (+ (* (* (- (exp (/ 2 x)) 1) (sqrt (/ 1 (+ (exp (/ 1 x)) 1)))) (/ 0 (sqrt (+ (exp (/ 1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (exp (/ 1 x)) 1)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* (- (exp (/ 2 x)) 1) (sqrt (/ 1 (+ (exp (/ 1 x)) 1))))) (+ (* (/ (* (exp (/ 1 x)) (+ (exp (/ 1 x)) 1)) (- (exp (/ 2 x)) 1)) (/ 0 (* (- (exp (/ 2 x)) 1) (sqrt (/ 1 (+ (exp (/ 1 x)) 1)))))) (* 0 (/ 0 (* (- (exp (/ 2 x)) 1) (sqrt (/ 1 (+ (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 (- (+ (* (sqrt (/ 1 (+ (exp (/ 1 x)) 1))) (/ 0 (sqrt (+ (exp (/ 1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (exp (/ 1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (exp (/ 1 x)) 1)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (/ 1 (+ (exp (/ 1 x)) 1)))) (+ (* (* (exp (/ 1 x)) (sqrt (+ (exp (/ 1 x)) 1))) (/ 0 (sqrt (/ 1 (+ (exp (/ 1 x)) 1))))) (* 0 (/ 0 (sqrt (/ 1 (+ (exp (/ 1 x)) 1))))) (* 0 (/ 0 (sqrt (/ 1 (+ (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 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ 1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ (exp (/ 1 x)) 1))) (+ (* (* (- (exp (/ 2 x)) 1) (sqrt (/ 1 (+ (exp (/ 1 x)) 1)))) (/ 0 (sqrt (+ (exp (/ 1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (exp (/ 1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (exp (/ 1 x)) 1)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* (- (exp (/ 2 x)) 1) (sqrt (/ 1 (+ (exp (/ 1 x)) 1))))) (+ (* (/ (* (exp (/ 1 x)) (+ (exp (/ 1 x)) 1)) (- (exp (/ 2 x)) 1)) (/ 0 (* (- (exp (/ 2 x)) 1) (sqrt (/ 1 (+ (exp (/ 1 x)) 1)))))) (* 0 (/ 0 (* (- (exp (/ 2 x)) 1) (sqrt (/ 1 (+ (exp (/ 1 x)) 1)))))) (* 0 (/ 0 (* (- (exp (/ 2 x)) 1) (sqrt (/ 1 (+ (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 (- (+ (* (sqrt (/ 1 (+ (exp (/ 1 x)) 1))) (/ 0 (sqrt (+ (exp (/ 1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (exp (/ 1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (exp (/ 1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (exp (/ 1 x)) 1)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (/ 1 (+ (exp (/ 1 x)) 1)))) (+ (* (* (exp (/ 1 x)) (sqrt (+ (exp (/ 1 x)) 1))) (/ 0 (sqrt (/ 1 (+ (exp (/ 1 x)) 1))))) (* 0 (/ 0 (sqrt (/ 1 (+ (exp (/ 1 x)) 1))))) (* 0 (/ 0 (sqrt (/ 1 (+ (exp (/ 1 x)) 1))))) (* 0 (/ 0 (sqrt (/ 1 (+ (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 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 (sqrt (+ (exp (/ 1 x)) 1))) (+ (* (* (- (exp (/ 2 x)) 1) (sqrt (/ 1 (+ (exp (/ 1 x)) 1)))) (/ 0 (sqrt (+ (exp (/ 1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (exp (/ 1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (exp (/ 1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (exp (/ 1 x)) 1)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* (- (exp (/ 2 x)) 1) (sqrt (/ 1 (+ (exp (/ 1 x)) 1))))) (+ (* (/ (* (exp (/ 1 x)) (+ (exp (/ 1 x)) 1)) (- (exp (/ 2 x)) 1)) (/ 0 (* (- (exp (/ 2 x)) 1) (sqrt (/ 1 (+ (exp (/ 1 x)) 1)))))) (* 0 (/ 0 (* (- (exp (/ 2 x)) 1) (sqrt (/ 1 (+ (exp (/ 1 x)) 1)))))) (* 0 (/ 0 (* (- (exp (/ 2 x)) 1) (sqrt (/ 1 (+ (exp (/ 1 x)) 1)))))) (* 0 (/ 0 (* (- (exp (/ 2 x)) 1) (sqrt (/ 1 (+ (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 (- (+ (* (sqrt (/ 1 (+ (exp (/ 1 x)) 1))) (/ 0 (sqrt (+ (exp (/ 1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (exp (/ 1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (exp (/ 1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (exp (/ 1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (exp (/ 1 x)) 1)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (/ 1 (+ (exp (/ 1 x)) 1)))) (+ (* (* (exp (/ 1 x)) (sqrt (+ (exp (/ 1 x)) 1))) (/ 0 (sqrt (/ 1 (+ (exp (/ 1 x)) 1))))) (* 0 (/ 0 (sqrt (/ 1 (+ (exp (/ 1 x)) 1))))) (* 0 (/ 0 (sqrt (/ 1 (+ (exp (/ 1 x)) 1))))) (* 0 (/ 0 (sqrt (/ 1 (+ (exp (/ 1 x)) 1))))) (* 0 (/ 0 (sqrt (/ 1 (+ (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 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 (sqrt (+ (exp (/ 1 x)) 1))) (+ (* (* (- (exp (/ 2 x)) 1) (sqrt (/ 1 (+ (exp (/ 1 x)) 1)))) (/ 0 (sqrt (+ (exp (/ 1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (exp (/ 1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (exp (/ 1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (exp (/ 1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (exp (/ 1 x)) 1)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* (- (exp (/ 2 x)) 1) (sqrt (/ 1 (+ (exp (/ 1 x)) 1))))) (+ (* (/ (* (exp (/ 1 x)) (+ (exp (/ 1 x)) 1)) (- (exp (/ 2 x)) 1)) (/ 0 (* (- (exp (/ 2 x)) 1) (sqrt (/ 1 (+ (exp (/ 1 x)) 1)))))) (* 0 (/ 0 (* (- (exp (/ 2 x)) 1) (sqrt (/ 1 (+ (exp (/ 1 x)) 1)))))) (* 0 (/ 0 (* (- (exp (/ 2 x)) 1) (sqrt (/ 1 (+ (exp (/ 1 x)) 1)))))) (* 0 (/ 0 (* (- (exp (/ 2 x)) 1) (sqrt (/ 1 (+ (exp (/ 1 x)) 1)))))) (* 0 (/ 0 (* (- (exp (/ 2 x)) 1) (sqrt (/ 1 (+ (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 (- (+ (* (sqrt (/ 1 (+ (exp (/ 1 x)) 1))) (/ 0 (sqrt (+ (exp (/ 1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (exp (/ 1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (exp (/ 1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (exp (/ 1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (exp (/ 1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (exp (/ 1 x)) 1)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (/ 1 (+ (exp (/ 1 x)) 1)))) (+ (* (* (exp (/ 1 x)) (sqrt (+ (exp (/ 1 x)) 1))) (/ 0 (sqrt (/ 1 (+ (exp (/ 1 x)) 1))))) (* 0 (/ 0 (sqrt (/ 1 (+ (exp (/ 1 x)) 1))))) (* 0 (/ 0 (sqrt (/ 1 (+ (exp (/ 1 x)) 1))))) (* 0 (/ 0 (sqrt (/ 1 (+ (exp (/ 1 x)) 1))))) (* 0 (/ 0 (sqrt (/ 1 (+ (exp (/ 1 x)) 1))))) (* 0 (/ 0 (sqrt (/ 1 (+ (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 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 (sqrt (+ (exp (/ 1 x)) 1))) (+ (* (* (- (exp (/ 2 x)) 1) (sqrt (/ 1 (+ (exp (/ 1 x)) 1)))) (/ 0 (sqrt (+ (exp (/ 1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (exp (/ 1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (exp (/ 1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (exp (/ 1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (exp (/ 1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (exp (/ 1 x)) 1)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* (- (exp (/ 2 x)) 1) (sqrt (/ 1 (+ (exp (/ 1 x)) 1))))) (+ (* (/ (* (exp (/ 1 x)) (+ (exp (/ 1 x)) 1)) (- (exp (/ 2 x)) 1)) (/ 0 (* (- (exp (/ 2 x)) 1) (sqrt (/ 1 (+ (exp (/ 1 x)) 1)))))) (* 0 (/ 0 (* (- (exp (/ 2 x)) 1) (sqrt (/ 1 (+ (exp (/ 1 x)) 1)))))) (* 0 (/ 0 (* (- (exp (/ 2 x)) 1) (sqrt (/ 1 (+ (exp (/ 1 x)) 1)))))) (* 0 (/ 0 (* (- (exp (/ 2 x)) 1) (sqrt (/ 1 (+ (exp (/ 1 x)) 1)))))) (* 0 (/ 0 (* (- (exp (/ 2 x)) 1) (sqrt (/ 1 (+ (exp (/ 1 x)) 1)))))) (* 0 (/ 0 (* (- (exp (/ 2 x)) 1) (sqrt (/ 1 (+ (exp (/ 1 x)) 1)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (* (exp (/ 1 (/ 1 x))) (+ (exp (/ 1 (/ 1 x))) 1)) (- (exp (/ 2 (/ 1 x))) 1)) into (/ (* (exp x) (+ (exp x) 1)) (- (exp (* 2 x)) 1)) * [misc]approximate: Taking taylor expansion of (/ (/ (exp (/ 1 (- x))) (/ 1 (sqrt (+ (exp (/ 1 (- x))) 1)))) (/ (- (exp (+ (/ 1 (- x)) (/ 1 (- x)))) 1) (sqrt (+ 1 (exp (/ 1 (- x))))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (exp (/ 1 (- x))) (/ 1 (sqrt (+ (exp (/ 1 (- x))) 1)))) (/ (- (exp (+ (/ 1 (- x)) (/ 1 (- x)))) 1) (sqrt (+ 1 (exp (/ 1 (- x))))))) in x * [misc]taylor: Taking taylor expansion of (/ (exp (/ 1 (- x))) (/ 1 (sqrt (+ (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 (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 (/ 1 (sqrt (+ (exp (/ -1 x)) 1))) into (sqrt (/ 1 (+ (exp (/ -1 x)) 1))) * [misc]backup-simplify: Simplify (/ (exp (/ -1 x)) (sqrt (/ 1 (+ (exp (/ -1 x)) 1)))) into (* (sqrt (+ (exp (/ -1 x)) 1)) (exp (/ -1 x))) * [misc]taylor: Taking taylor expansion of (/ (- (exp (+ (/ 1 (- x)) (/ 1 (- x)))) 1) (sqrt (+ 1 (exp (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (- (exp (+ (/ 1 (- x)) (/ 1 (- x)))) 1) in x * [misc]taylor: Taking taylor expansion of (exp (+ (/ 1 (- x)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (/ 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]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 -1) into -2 * [misc]backup-simplify: Simplify (exp (+ (/ 1 (- x)) (/ 1 (- x)))) into (exp (- (* 2 (/ 1 x)))) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (exp (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (+ 1 (exp (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]backup-simplify: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (/ -1 x)) 1)) into (sqrt (+ (exp (/ -1 x)) 1)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (/ -1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (- (* 2 (/ 1 x)))) -1) into (- (exp (- (* 2 (/ 1 x)))) 1) * [misc]backup-simplify: Simplify (/ (- (exp (- (* 2 (/ 1 x)))) 1) (sqrt (+ (exp (/ -1 x)) 1))) into (* (sqrt (/ 1 (+ (exp (/ -1 x)) 1))) (- (exp (- (* 2 (/ 1 x)))) 1)) * [misc]backup-simplify: Simplify (/ (* (sqrt (+ (exp (/ -1 x)) 1)) (exp (/ -1 x))) (* (sqrt (/ 1 (+ (exp (/ -1 x)) 1))) (- (exp (- (* 2 (/ 1 x)))) 1))) into (/ (* (+ (exp (/ -1 x)) 1) (exp (/ -1 x))) (- (exp (- (* 2 (/ 1 x)))) 1)) * [misc]taylor: Taking taylor expansion of (/ (/ (exp (/ 1 (- x))) (/ 1 (sqrt (+ (exp (/ 1 (- x))) 1)))) (/ (- (exp (+ (/ 1 (- x)) (/ 1 (- x)))) 1) (sqrt (+ 1 (exp (/ 1 (- x))))))) in x * [misc]taylor: Taking taylor expansion of (/ (exp (/ 1 (- x))) (/ 1 (sqrt (+ (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 (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 (/ 1 (sqrt (+ (exp (/ -1 x)) 1))) into (sqrt (/ 1 (+ (exp (/ -1 x)) 1))) * [misc]backup-simplify: Simplify (/ (exp (/ -1 x)) (sqrt (/ 1 (+ (exp (/ -1 x)) 1)))) into (* (sqrt (+ (exp (/ -1 x)) 1)) (exp (/ -1 x))) * [misc]taylor: Taking taylor expansion of (/ (- (exp (+ (/ 1 (- x)) (/ 1 (- x)))) 1) (sqrt (+ 1 (exp (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (- (exp (+ (/ 1 (- x)) (/ 1 (- x)))) 1) in x * [misc]taylor: Taking taylor expansion of (exp (+ (/ 1 (- x)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (/ 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]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 -1) into -2 * [misc]backup-simplify: Simplify (exp (+ (/ 1 (- x)) (/ 1 (- x)))) into (exp (- (* 2 (/ 1 x)))) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (exp (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (+ 1 (exp (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]backup-simplify: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (/ -1 x)) 1)) into (sqrt (+ (exp (/ -1 x)) 1)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (/ -1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (- (* 2 (/ 1 x)))) -1) into (- (exp (- (* 2 (/ 1 x)))) 1) * [misc]backup-simplify: Simplify (/ (- (exp (- (* 2 (/ 1 x)))) 1) (sqrt (+ (exp (/ -1 x)) 1))) into (* (sqrt (/ 1 (+ (exp (/ -1 x)) 1))) (- (exp (- (* 2 (/ 1 x)))) 1)) * [misc]backup-simplify: Simplify (/ (* (sqrt (+ (exp (/ -1 x)) 1)) (exp (/ -1 x))) (* (sqrt (/ 1 (+ (exp (/ -1 x)) 1))) (- (exp (- (* 2 (/ 1 x)))) 1))) into (/ (* (+ (exp (/ -1 x)) 1) (exp (/ -1 x))) (- (exp (- (* 2 (/ 1 x)))) 1)) * [misc]backup-simplify: Simplify (/ (* (+ (exp (/ -1 x)) 1) (exp (/ -1 x))) (- (exp (- (* 2 (/ 1 x)))) 1)) into (/ (* (+ (exp (/ -1 x)) 1) (exp (/ -1 x))) (- (exp (- (* 2 (/ 1 x)))) 1)) * [misc]backup-simplify: Simplify (- (+ (* (sqrt (/ 1 (+ (exp (/ -1 x)) 1))) (/ 0 (sqrt (+ (exp (/ -1 x)) 1)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (/ 1 (+ (exp (/ -1 x)) 1)))) (+ (* (* (sqrt (+ (exp (/ -1 x)) 1)) (exp (/ -1 x))) (/ 0 (sqrt (/ 1 (+ (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 (sqrt (+ (exp (/ -1 x)) 1))) (+ (* (* (sqrt (/ 1 (+ (exp (/ -1 x)) 1))) (- (exp (- (* 2 (/ 1 x)))) 1)) (/ 0 (sqrt (+ (exp (/ -1 x)) 1)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* (sqrt (/ 1 (+ (exp (/ -1 x)) 1))) (- (exp (- (* 2 (/ 1 x)))) 1))) (+ (* (/ (* (+ (exp (/ -1 x)) 1) (exp (/ -1 x))) (- (exp (- (* 2 (/ 1 x)))) 1)) (/ 0 (* (sqrt (/ 1 (+ (exp (/ -1 x)) 1))) (- (exp (- (* 2 (/ 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 (sqrt (+ (exp (/ -1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (sqrt (/ 1 (+ (exp (/ -1 x)) 1))) (/ 0 (sqrt (+ (exp (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (exp (/ -1 x)) 1)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (/ 1 (+ (exp (/ -1 x)) 1)))) (+ (* (* (sqrt (+ (exp (/ -1 x)) 1)) (exp (/ -1 x))) (/ 0 (sqrt (/ 1 (+ (exp (/ -1 x)) 1))))) (* 0 (/ 0 (sqrt (/ 1 (+ (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 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (/ -1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ (exp (/ -1 x)) 1))) (+ (* (* (sqrt (/ 1 (+ (exp (/ -1 x)) 1))) (- (exp (- (* 2 (/ 1 x)))) 1)) (/ 0 (sqrt (+ (exp (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (exp (/ -1 x)) 1)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* (sqrt (/ 1 (+ (exp (/ -1 x)) 1))) (- (exp (- (* 2 (/ 1 x)))) 1))) (+ (* (/ (* (+ (exp (/ -1 x)) 1) (exp (/ -1 x))) (- (exp (- (* 2 (/ 1 x)))) 1)) (/ 0 (* (sqrt (/ 1 (+ (exp (/ -1 x)) 1))) (- (exp (- (* 2 (/ 1 x)))) 1)))) (* 0 (/ 0 (* (sqrt (/ 1 (+ (exp (/ -1 x)) 1))) (- (exp (- (* 2 (/ 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 (- (+ (* (sqrt (/ 1 (+ (exp (/ -1 x)) 1))) (/ 0 (sqrt (+ (exp (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (exp (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (exp (/ -1 x)) 1)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (/ 1 (+ (exp (/ -1 x)) 1)))) (+ (* (* (sqrt (+ (exp (/ -1 x)) 1)) (exp (/ -1 x))) (/ 0 (sqrt (/ 1 (+ (exp (/ -1 x)) 1))))) (* 0 (/ 0 (sqrt (/ 1 (+ (exp (/ -1 x)) 1))))) (* 0 (/ 0 (sqrt (/ 1 (+ (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 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ -1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ (exp (/ -1 x)) 1))) (+ (* (* (sqrt (/ 1 (+ (exp (/ -1 x)) 1))) (- (exp (- (* 2 (/ 1 x)))) 1)) (/ 0 (sqrt (+ (exp (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (exp (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (exp (/ -1 x)) 1)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* (sqrt (/ 1 (+ (exp (/ -1 x)) 1))) (- (exp (- (* 2 (/ 1 x)))) 1))) (+ (* (/ (* (+ (exp (/ -1 x)) 1) (exp (/ -1 x))) (- (exp (- (* 2 (/ 1 x)))) 1)) (/ 0 (* (sqrt (/ 1 (+ (exp (/ -1 x)) 1))) (- (exp (- (* 2 (/ 1 x)))) 1)))) (* 0 (/ 0 (* (sqrt (/ 1 (+ (exp (/ -1 x)) 1))) (- (exp (- (* 2 (/ 1 x)))) 1)))) (* 0 (/ 0 (* (sqrt (/ 1 (+ (exp (/ -1 x)) 1))) (- (exp (- (* 2 (/ 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 (- (+ (* (sqrt (/ 1 (+ (exp (/ -1 x)) 1))) (/ 0 (sqrt (+ (exp (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (exp (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (exp (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (exp (/ -1 x)) 1)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (/ 1 (+ (exp (/ -1 x)) 1)))) (+ (* (* (sqrt (+ (exp (/ -1 x)) 1)) (exp (/ -1 x))) (/ 0 (sqrt (/ 1 (+ (exp (/ -1 x)) 1))))) (* 0 (/ 0 (sqrt (/ 1 (+ (exp (/ -1 x)) 1))))) (* 0 (/ 0 (sqrt (/ 1 (+ (exp (/ -1 x)) 1))))) (* 0 (/ 0 (sqrt (/ 1 (+ (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 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 (sqrt (+ (exp (/ -1 x)) 1))) (+ (* (* (sqrt (/ 1 (+ (exp (/ -1 x)) 1))) (- (exp (- (* 2 (/ 1 x)))) 1)) (/ 0 (sqrt (+ (exp (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (exp (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (exp (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (exp (/ -1 x)) 1)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* (sqrt (/ 1 (+ (exp (/ -1 x)) 1))) (- (exp (- (* 2 (/ 1 x)))) 1))) (+ (* (/ (* (+ (exp (/ -1 x)) 1) (exp (/ -1 x))) (- (exp (- (* 2 (/ 1 x)))) 1)) (/ 0 (* (sqrt (/ 1 (+ (exp (/ -1 x)) 1))) (- (exp (- (* 2 (/ 1 x)))) 1)))) (* 0 (/ 0 (* (sqrt (/ 1 (+ (exp (/ -1 x)) 1))) (- (exp (- (* 2 (/ 1 x)))) 1)))) (* 0 (/ 0 (* (sqrt (/ 1 (+ (exp (/ -1 x)) 1))) (- (exp (- (* 2 (/ 1 x)))) 1)))) (* 0 (/ 0 (* (sqrt (/ 1 (+ (exp (/ -1 x)) 1))) (- (exp (- (* 2 (/ 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 (- (+ (* (sqrt (/ 1 (+ (exp (/ -1 x)) 1))) (/ 0 (sqrt (+ (exp (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (exp (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (exp (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (exp (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (exp (/ -1 x)) 1)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (/ 1 (+ (exp (/ -1 x)) 1)))) (+ (* (* (sqrt (+ (exp (/ -1 x)) 1)) (exp (/ -1 x))) (/ 0 (sqrt (/ 1 (+ (exp (/ -1 x)) 1))))) (* 0 (/ 0 (sqrt (/ 1 (+ (exp (/ -1 x)) 1))))) (* 0 (/ 0 (sqrt (/ 1 (+ (exp (/ -1 x)) 1))))) (* 0 (/ 0 (sqrt (/ 1 (+ (exp (/ -1 x)) 1))))) (* 0 (/ 0 (sqrt (/ 1 (+ (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 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 (sqrt (+ (exp (/ -1 x)) 1))) (+ (* (* (sqrt (/ 1 (+ (exp (/ -1 x)) 1))) (- (exp (- (* 2 (/ 1 x)))) 1)) (/ 0 (sqrt (+ (exp (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (exp (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (exp (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (exp (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (exp (/ -1 x)) 1)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* (sqrt (/ 1 (+ (exp (/ -1 x)) 1))) (- (exp (- (* 2 (/ 1 x)))) 1))) (+ (* (/ (* (+ (exp (/ -1 x)) 1) (exp (/ -1 x))) (- (exp (- (* 2 (/ 1 x)))) 1)) (/ 0 (* (sqrt (/ 1 (+ (exp (/ -1 x)) 1))) (- (exp (- (* 2 (/ 1 x)))) 1)))) (* 0 (/ 0 (* (sqrt (/ 1 (+ (exp (/ -1 x)) 1))) (- (exp (- (* 2 (/ 1 x)))) 1)))) (* 0 (/ 0 (* (sqrt (/ 1 (+ (exp (/ -1 x)) 1))) (- (exp (- (* 2 (/ 1 x)))) 1)))) (* 0 (/ 0 (* (sqrt (/ 1 (+ (exp (/ -1 x)) 1))) (- (exp (- (* 2 (/ 1 x)))) 1)))) (* 0 (/ 0 (* (sqrt (/ 1 (+ (exp (/ -1 x)) 1))) (- (exp (- (* 2 (/ 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 (- (+ (* (sqrt (/ 1 (+ (exp (/ -1 x)) 1))) (/ 0 (sqrt (+ (exp (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (exp (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (exp (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (exp (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (exp (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (exp (/ -1 x)) 1)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (/ 1 (+ (exp (/ -1 x)) 1)))) (+ (* (* (sqrt (+ (exp (/ -1 x)) 1)) (exp (/ -1 x))) (/ 0 (sqrt (/ 1 (+ (exp (/ -1 x)) 1))))) (* 0 (/ 0 (sqrt (/ 1 (+ (exp (/ -1 x)) 1))))) (* 0 (/ 0 (sqrt (/ 1 (+ (exp (/ -1 x)) 1))))) (* 0 (/ 0 (sqrt (/ 1 (+ (exp (/ -1 x)) 1))))) (* 0 (/ 0 (sqrt (/ 1 (+ (exp (/ -1 x)) 1))))) (* 0 (/ 0 (sqrt (/ 1 (+ (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 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 (sqrt (+ (exp (/ -1 x)) 1))) (+ (* (* (sqrt (/ 1 (+ (exp (/ -1 x)) 1))) (- (exp (- (* 2 (/ 1 x)))) 1)) (/ 0 (sqrt (+ (exp (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (exp (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (exp (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (exp (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (exp (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (exp (/ -1 x)) 1)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* (sqrt (/ 1 (+ (exp (/ -1 x)) 1))) (- (exp (- (* 2 (/ 1 x)))) 1))) (+ (* (/ (* (+ (exp (/ -1 x)) 1) (exp (/ -1 x))) (- (exp (- (* 2 (/ 1 x)))) 1)) (/ 0 (* (sqrt (/ 1 (+ (exp (/ -1 x)) 1))) (- (exp (- (* 2 (/ 1 x)))) 1)))) (* 0 (/ 0 (* (sqrt (/ 1 (+ (exp (/ -1 x)) 1))) (- (exp (- (* 2 (/ 1 x)))) 1)))) (* 0 (/ 0 (* (sqrt (/ 1 (+ (exp (/ -1 x)) 1))) (- (exp (- (* 2 (/ 1 x)))) 1)))) (* 0 (/ 0 (* (sqrt (/ 1 (+ (exp (/ -1 x)) 1))) (- (exp (- (* 2 (/ 1 x)))) 1)))) (* 0 (/ 0 (* (sqrt (/ 1 (+ (exp (/ -1 x)) 1))) (- (exp (- (* 2 (/ 1 x)))) 1)))) (* 0 (/ 0 (* (sqrt (/ 1 (+ (exp (/ -1 x)) 1))) (- (exp (- (* 2 (/ 1 x)))) 1)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (* (+ (exp (/ -1 (/ 1 (- x)))) 1) (exp (/ -1 (/ 1 (- x))))) (- (exp (- (* 2 (/ 1 (/ 1 (- x)))))) 1)) into (/ (* (exp x) (+ (exp x) 1)) (- (exp (* 2 x)) 1)) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (exp x) (/ 1 (sqrt (+ (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 (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 (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) * [misc]backup-simplify: Simplify (/ 1 (/ 1 (sqrt 2))) into (sqrt 2) * [misc]taylor: Taking taylor expansion of (/ (exp x) (/ 1 (sqrt (+ (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 (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 (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) * [misc]backup-simplify: Simplify (/ 1 (/ 1 (sqrt 2))) into (sqrt 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 (sqrt 2)) (/ (/ 1/2 (sqrt 2)) (sqrt 2))))) into (- (* 1/2 (/ 1 (pow (sqrt 2) 3)))) * [misc]backup-simplify: Simplify (- (/ 1 (/ 1 (sqrt 2))) (+ (* (sqrt 2) (/ (- (* 1/2 (/ 1 (pow (sqrt 2) 3)))) (/ 1 (sqrt 2)))))) into (+ (* 1/2 (/ 1 (sqrt 2))) (sqrt 2)) * [misc]backup-simplify: Simplify (+ (* 1/2 (/ 1 (sqrt 2))) (sqrt 2)) into (+ (* 1/2 (/ 1 (sqrt 2))) (sqrt 2)) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [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 (sqrt 2)) (/ (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))) (sqrt 2))) (* (- (* 1/2 (/ 1 (pow (sqrt 2) 3)))) (/ (/ 1/2 (sqrt 2)) (sqrt 2))))) into (- (* 3/8 (/ 1 (pow (sqrt 2) 5))) (* 1/4 (/ 1 (pow (sqrt 2) 3)))) * [misc]backup-simplify: Simplify (- (/ 1/2 (/ 1 (sqrt 2))) (+ (* (sqrt 2) (/ (- (* 3/8 (/ 1 (pow (sqrt 2) 5))) (* 1/4 (/ 1 (pow (sqrt 2) 3)))) (/ 1 (sqrt 2)))) (* (+ (* 1/2 (/ 1 (sqrt 2))) (sqrt 2)) (/ (- (* 1/2 (/ 1 (pow (sqrt 2) 3)))) (/ 1 (sqrt 2)))))) into (- (+ (* 3/4 (/ 1 (sqrt 2))) (* 1/2 (sqrt 2))) (* 1/8 (/ 1 (pow (sqrt 2) 3)))) * [misc]backup-simplify: Simplify (- (+ (* 3/4 (/ 1 (sqrt 2))) (* 1/2 (sqrt 2))) (* 1/8 (/ 1 (pow (sqrt 2) 3)))) into (- (+ (* 3/4 (/ 1 (sqrt 2))) (* 1/2 (sqrt 2))) (* 1/8 (/ 1 (pow (sqrt 2) 3)))) * [misc]backup-simplify: Simplify (+ (* (- (+ (* 3/4 (/ 1 (sqrt 2))) (* 1/2 (sqrt 2))) (* 1/8 (/ 1 (pow (sqrt 2) 3)))) (pow x 2)) (+ (* (+ (* 1/2 (/ 1 (sqrt 2))) (sqrt 2)) x) (sqrt 2))) into (- (+ (sqrt 2) (+ (* 3/4 (/ (pow x 2) (sqrt 2))) (+ (* (sqrt 2) x) (+ (* 1/2 (* (sqrt 2) (pow x 2))) (* 1/2 (/ x (sqrt 2))))))) (* 1/8 (/ (pow x 2) (pow (sqrt 2) 3)))) * [misc]approximate: Taking taylor expansion of (/ (exp (/ 1 x)) (/ 1 (sqrt (+ (exp (/ 1 x)) 1)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (exp (/ 1 x)) (/ 1 (sqrt (+ (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 (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 (/ 1 (sqrt (+ (exp (/ 1 x)) 1))) into (sqrt (/ 1 (+ (exp (/ 1 x)) 1))) * [misc]backup-simplify: Simplify (/ (exp (/ 1 x)) (sqrt (/ 1 (+ (exp (/ 1 x)) 1)))) into (* (exp (/ 1 x)) (sqrt (+ (exp (/ 1 x)) 1))) * [misc]taylor: Taking taylor expansion of (/ (exp (/ 1 x)) (/ 1 (sqrt (+ (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 (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 (/ 1 (sqrt (+ (exp (/ 1 x)) 1))) into (sqrt (/ 1 (+ (exp (/ 1 x)) 1))) * [misc]backup-simplify: Simplify (/ (exp (/ 1 x)) (sqrt (/ 1 (+ (exp (/ 1 x)) 1)))) into (* (exp (/ 1 x)) (sqrt (+ (exp (/ 1 x)) 1))) * [misc]backup-simplify: Simplify (* (exp (/ 1 x)) (sqrt (+ (exp (/ 1 x)) 1))) into (* (exp (/ 1 x)) (sqrt (+ (exp (/ 1 x)) 1))) * [misc]backup-simplify: Simplify (- (+ (* (sqrt (/ 1 (+ (exp (/ 1 x)) 1))) (/ 0 (sqrt (+ (exp (/ 1 x)) 1)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (/ 1 (+ (exp (/ 1 x)) 1)))) (+ (* (* (exp (/ 1 x)) (sqrt (+ (exp (/ 1 x)) 1))) (/ 0 (sqrt (/ 1 (+ (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 (sqrt (+ (exp (/ 1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (sqrt (/ 1 (+ (exp (/ 1 x)) 1))) (/ 0 (sqrt (+ (exp (/ 1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (exp (/ 1 x)) 1)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (/ 1 (+ (exp (/ 1 x)) 1)))) (+ (* (* (exp (/ 1 x)) (sqrt (+ (exp (/ 1 x)) 1))) (/ 0 (sqrt (/ 1 (+ (exp (/ 1 x)) 1))))) (* 0 (/ 0 (sqrt (/ 1 (+ (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 (- (+ (* (sqrt (/ 1 (+ (exp (/ 1 x)) 1))) (/ 0 (sqrt (+ (exp (/ 1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (exp (/ 1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (exp (/ 1 x)) 1)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (/ 1 (+ (exp (/ 1 x)) 1)))) (+ (* (* (exp (/ 1 x)) (sqrt (+ (exp (/ 1 x)) 1))) (/ 0 (sqrt (/ 1 (+ (exp (/ 1 x)) 1))))) (* 0 (/ 0 (sqrt (/ 1 (+ (exp (/ 1 x)) 1))))) (* 0 (/ 0 (sqrt (/ 1 (+ (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 (- (+ (* (sqrt (/ 1 (+ (exp (/ 1 x)) 1))) (/ 0 (sqrt (+ (exp (/ 1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (exp (/ 1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (exp (/ 1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (exp (/ 1 x)) 1)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (/ 1 (+ (exp (/ 1 x)) 1)))) (+ (* (* (exp (/ 1 x)) (sqrt (+ (exp (/ 1 x)) 1))) (/ 0 (sqrt (/ 1 (+ (exp (/ 1 x)) 1))))) (* 0 (/ 0 (sqrt (/ 1 (+ (exp (/ 1 x)) 1))))) (* 0 (/ 0 (sqrt (/ 1 (+ (exp (/ 1 x)) 1))))) (* 0 (/ 0 (sqrt (/ 1 (+ (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 (- (+ (* (sqrt (/ 1 (+ (exp (/ 1 x)) 1))) (/ 0 (sqrt (+ (exp (/ 1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (exp (/ 1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (exp (/ 1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (exp (/ 1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (exp (/ 1 x)) 1)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (/ 1 (+ (exp (/ 1 x)) 1)))) (+ (* (* (exp (/ 1 x)) (sqrt (+ (exp (/ 1 x)) 1))) (/ 0 (sqrt (/ 1 (+ (exp (/ 1 x)) 1))))) (* 0 (/ 0 (sqrt (/ 1 (+ (exp (/ 1 x)) 1))))) (* 0 (/ 0 (sqrt (/ 1 (+ (exp (/ 1 x)) 1))))) (* 0 (/ 0 (sqrt (/ 1 (+ (exp (/ 1 x)) 1))))) (* 0 (/ 0 (sqrt (/ 1 (+ (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 (- (+ (* (sqrt (/ 1 (+ (exp (/ 1 x)) 1))) (/ 0 (sqrt (+ (exp (/ 1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (exp (/ 1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (exp (/ 1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (exp (/ 1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (exp (/ 1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (exp (/ 1 x)) 1)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (/ 1 (+ (exp (/ 1 x)) 1)))) (+ (* (* (exp (/ 1 x)) (sqrt (+ (exp (/ 1 x)) 1))) (/ 0 (sqrt (/ 1 (+ (exp (/ 1 x)) 1))))) (* 0 (/ 0 (sqrt (/ 1 (+ (exp (/ 1 x)) 1))))) (* 0 (/ 0 (sqrt (/ 1 (+ (exp (/ 1 x)) 1))))) (* 0 (/ 0 (sqrt (/ 1 (+ (exp (/ 1 x)) 1))))) (* 0 (/ 0 (sqrt (/ 1 (+ (exp (/ 1 x)) 1))))) (* 0 (/ 0 (sqrt (/ 1 (+ (exp (/ 1 x)) 1))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (/ 1 (/ 1 x))) (sqrt (+ (exp (/ 1 (/ 1 x))) 1))) into (* (exp x) (sqrt (+ (exp x) 1))) * [misc]approximate: Taking taylor expansion of (/ (exp (/ 1 (- x))) (/ 1 (sqrt (+ (exp (/ 1 (- x))) 1)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (exp (/ 1 (- x))) (/ 1 (sqrt (+ (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 (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 (/ 1 (sqrt (+ (exp (/ -1 x)) 1))) into (sqrt (/ 1 (+ (exp (/ -1 x)) 1))) * [misc]backup-simplify: Simplify (/ (exp (/ -1 x)) (sqrt (/ 1 (+ (exp (/ -1 x)) 1)))) into (* (sqrt (+ (exp (/ -1 x)) 1)) (exp (/ -1 x))) * [misc]taylor: Taking taylor expansion of (/ (exp (/ 1 (- x))) (/ 1 (sqrt (+ (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 (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 (/ 1 (sqrt (+ (exp (/ -1 x)) 1))) into (sqrt (/ 1 (+ (exp (/ -1 x)) 1))) * [misc]backup-simplify: Simplify (/ (exp (/ -1 x)) (sqrt (/ 1 (+ (exp (/ -1 x)) 1)))) into (* (sqrt (+ (exp (/ -1 x)) 1)) (exp (/ -1 x))) * [misc]backup-simplify: Simplify (* (sqrt (+ (exp (/ -1 x)) 1)) (exp (/ -1 x))) into (* (sqrt (+ (exp (/ -1 x)) 1)) (exp (/ -1 x))) * [misc]backup-simplify: Simplify (- (+ (* (sqrt (/ 1 (+ (exp (/ -1 x)) 1))) (/ 0 (sqrt (+ (exp (/ -1 x)) 1)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (/ 1 (+ (exp (/ -1 x)) 1)))) (+ (* (* (sqrt (+ (exp (/ -1 x)) 1)) (exp (/ -1 x))) (/ 0 (sqrt (/ 1 (+ (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 (sqrt (+ (exp (/ -1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (sqrt (/ 1 (+ (exp (/ -1 x)) 1))) (/ 0 (sqrt (+ (exp (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (exp (/ -1 x)) 1)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (/ 1 (+ (exp (/ -1 x)) 1)))) (+ (* (* (sqrt (+ (exp (/ -1 x)) 1)) (exp (/ -1 x))) (/ 0 (sqrt (/ 1 (+ (exp (/ -1 x)) 1))))) (* 0 (/ 0 (sqrt (/ 1 (+ (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 (- (+ (* (sqrt (/ 1 (+ (exp (/ -1 x)) 1))) (/ 0 (sqrt (+ (exp (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (exp (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (exp (/ -1 x)) 1)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (/ 1 (+ (exp (/ -1 x)) 1)))) (+ (* (* (sqrt (+ (exp (/ -1 x)) 1)) (exp (/ -1 x))) (/ 0 (sqrt (/ 1 (+ (exp (/ -1 x)) 1))))) (* 0 (/ 0 (sqrt (/ 1 (+ (exp (/ -1 x)) 1))))) (* 0 (/ 0 (sqrt (/ 1 (+ (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 (- (+ (* (sqrt (/ 1 (+ (exp (/ -1 x)) 1))) (/ 0 (sqrt (+ (exp (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (exp (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (exp (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (exp (/ -1 x)) 1)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (/ 1 (+ (exp (/ -1 x)) 1)))) (+ (* (* (sqrt (+ (exp (/ -1 x)) 1)) (exp (/ -1 x))) (/ 0 (sqrt (/ 1 (+ (exp (/ -1 x)) 1))))) (* 0 (/ 0 (sqrt (/ 1 (+ (exp (/ -1 x)) 1))))) (* 0 (/ 0 (sqrt (/ 1 (+ (exp (/ -1 x)) 1))))) (* 0 (/ 0 (sqrt (/ 1 (+ (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 (- (+ (* (sqrt (/ 1 (+ (exp (/ -1 x)) 1))) (/ 0 (sqrt (+ (exp (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (exp (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (exp (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (exp (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (exp (/ -1 x)) 1)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (/ 1 (+ (exp (/ -1 x)) 1)))) (+ (* (* (sqrt (+ (exp (/ -1 x)) 1)) (exp (/ -1 x))) (/ 0 (sqrt (/ 1 (+ (exp (/ -1 x)) 1))))) (* 0 (/ 0 (sqrt (/ 1 (+ (exp (/ -1 x)) 1))))) (* 0 (/ 0 (sqrt (/ 1 (+ (exp (/ -1 x)) 1))))) (* 0 (/ 0 (sqrt (/ 1 (+ (exp (/ -1 x)) 1))))) (* 0 (/ 0 (sqrt (/ 1 (+ (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 (- (+ (* (sqrt (/ 1 (+ (exp (/ -1 x)) 1))) (/ 0 (sqrt (+ (exp (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (exp (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (exp (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (exp (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (exp (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (exp (/ -1 x)) 1)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (/ 1 (+ (exp (/ -1 x)) 1)))) (+ (* (* (sqrt (+ (exp (/ -1 x)) 1)) (exp (/ -1 x))) (/ 0 (sqrt (/ 1 (+ (exp (/ -1 x)) 1))))) (* 0 (/ 0 (sqrt (/ 1 (+ (exp (/ -1 x)) 1))))) (* 0 (/ 0 (sqrt (/ 1 (+ (exp (/ -1 x)) 1))))) (* 0 (/ 0 (sqrt (/ 1 (+ (exp (/ -1 x)) 1))))) (* 0 (/ 0 (sqrt (/ 1 (+ (exp (/ -1 x)) 1))))) (* 0 (/ 0 (sqrt (/ 1 (+ (exp (/ -1 x)) 1))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (sqrt (+ (exp (/ -1 (/ 1 (- x)))) 1)) (exp (/ -1 (/ 1 (- x))))) into (* (exp x) (sqrt (+ (exp x) 1))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 2) * [misc]approximate: Taking taylor expansion of (/ 1 (sqrt (+ (exp x) 1))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (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 (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (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 (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt 2)) (/ (/ 1/2 (sqrt 2)) (sqrt 2))))) into (- (* 1/2 (/ 1 (pow (sqrt 2) 3)))) * [misc]backup-simplify: Simplify (- (* 1/2 (/ 1 (pow (sqrt 2) 3)))) into (- (* 1/2 (/ 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 (sqrt 2)) (/ (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))) (sqrt 2))) (* (- (* 1/2 (/ 1 (pow (sqrt 2) 3)))) (/ (/ 1/2 (sqrt 2)) (sqrt 2))))) into (- (* 3/8 (/ 1 (pow (sqrt 2) 5))) (* 1/4 (/ 1 (pow (sqrt 2) 3)))) * [misc]backup-simplify: Simplify (- (* 3/8 (/ 1 (pow (sqrt 2) 5))) (* 1/4 (/ 1 (pow (sqrt 2) 3)))) into (- (* 3/8 (/ 1 (pow (sqrt 2) 5))) (* 1/4 (/ 1 (pow (sqrt 2) 3)))) * [misc]backup-simplify: Simplify (+ (* (- (* 3/8 (/ 1 (pow (sqrt 2) 5))) (* 1/4 (/ 1 (pow (sqrt 2) 3)))) (pow x 2)) (+ (* (- (* 1/2 (/ 1 (pow (sqrt 2) 3)))) x) (/ 1 (sqrt 2)))) into (- (+ (/ 1 (sqrt 2)) (* 3/8 (/ (pow x 2) (pow (sqrt 2) 5)))) (+ (* 1/2 (/ x (pow (sqrt 2) 3))) (* 1/4 (/ (pow x 2) (pow (sqrt 2) 3))))) * [misc]approximate: Taking taylor expansion of (/ 1 (sqrt (+ (exp (/ 1 x)) 1))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (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 (/ 1 (sqrt (+ (exp (/ 1 x)) 1))) into (sqrt (/ 1 (+ (exp (/ 1 x)) 1))) * [misc]taylor: Taking taylor expansion of (/ 1 (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 (/ 1 (sqrt (+ (exp (/ 1 x)) 1))) into (sqrt (/ 1 (+ (exp (/ 1 x)) 1))) * [misc]backup-simplify: Simplify (sqrt (/ 1 (+ (exp (/ 1 x)) 1))) into (sqrt (/ 1 (+ (exp (/ 1 x)) 1))) * [misc]backup-simplify: Simplify (- (+ (* (sqrt (/ 1 (+ (exp (/ 1 x)) 1))) (/ 0 (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 (sqrt (+ (exp (/ 1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (sqrt (/ 1 (+ (exp (/ 1 x)) 1))) (/ 0 (sqrt (+ (exp (/ 1 x)) 1)))) (* 0 (/ 0 (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 (- (+ (* (sqrt (/ 1 (+ (exp (/ 1 x)) 1))) (/ 0 (sqrt (+ (exp (/ 1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (exp (/ 1 x)) 1)))) (* 0 (/ 0 (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 (- (+ (* (sqrt (/ 1 (+ (exp (/ 1 x)) 1))) (/ 0 (sqrt (+ (exp (/ 1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (exp (/ 1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (exp (/ 1 x)) 1)))) (* 0 (/ 0 (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 (- (+ (* (sqrt (/ 1 (+ (exp (/ 1 x)) 1))) (/ 0 (sqrt (+ (exp (/ 1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (exp (/ 1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (exp (/ 1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (exp (/ 1 x)) 1)))) (* 0 (/ 0 (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 (- (+ (* (sqrt (/ 1 (+ (exp (/ 1 x)) 1))) (/ 0 (sqrt (+ (exp (/ 1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (exp (/ 1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (exp (/ 1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (exp (/ 1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (exp (/ 1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (exp (/ 1 x)) 1)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (/ 1 (+ (exp (/ 1 (/ 1 x))) 1))) into (sqrt (/ 1 (+ (exp x) 1))) * [misc]approximate: Taking taylor expansion of (/ 1 (sqrt (+ (exp (/ 1 (- x))) 1))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (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 (/ 1 (sqrt (+ (exp (/ -1 x)) 1))) into (sqrt (/ 1 (+ (exp (/ -1 x)) 1))) * [misc]taylor: Taking taylor expansion of (/ 1 (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 (/ 1 (sqrt (+ (exp (/ -1 x)) 1))) into (sqrt (/ 1 (+ (exp (/ -1 x)) 1))) * [misc]backup-simplify: Simplify (sqrt (/ 1 (+ (exp (/ -1 x)) 1))) into (sqrt (/ 1 (+ (exp (/ -1 x)) 1))) * [misc]backup-simplify: Simplify (- (+ (* (sqrt (/ 1 (+ (exp (/ -1 x)) 1))) (/ 0 (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 (sqrt (+ (exp (/ -1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (sqrt (/ 1 (+ (exp (/ -1 x)) 1))) (/ 0 (sqrt (+ (exp (/ -1 x)) 1)))) (* 0 (/ 0 (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 (- (+ (* (sqrt (/ 1 (+ (exp (/ -1 x)) 1))) (/ 0 (sqrt (+ (exp (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (exp (/ -1 x)) 1)))) (* 0 (/ 0 (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 (- (+ (* (sqrt (/ 1 (+ (exp (/ -1 x)) 1))) (/ 0 (sqrt (+ (exp (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (exp (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (exp (/ -1 x)) 1)))) (* 0 (/ 0 (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 (- (+ (* (sqrt (/ 1 (+ (exp (/ -1 x)) 1))) (/ 0 (sqrt (+ (exp (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (exp (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (exp (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (exp (/ -1 x)) 1)))) (* 0 (/ 0 (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 (- (+ (* (sqrt (/ 1 (+ (exp (/ -1 x)) 1))) (/ 0 (sqrt (+ (exp (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (exp (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (exp (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (exp (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (exp (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (exp (/ -1 x)) 1)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (/ 1 (+ (exp (/ -1 (/ 1 (- x)))) 1))) into (sqrt (/ 1 (+ (exp x) 1))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 997 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 997 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 997 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 997 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 997 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 997 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 997 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 997 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 997 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 997 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 997 ] 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 2 1 1) to (λ (x) (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (* (+ (exp x) 1) (- (exp x) 1)) (sqrt (+ 1 (exp x)))))) * * * * [misc]progress: [ 12 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (exp (+ x x))) 1) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (+ (fabs (exp x)) 1) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (* (+ (fabs (exp x)) 1) (- (sqrt (exp (+ x x))) 1)) (sqrt (+ 1 (exp x)))))) * * * * [misc]progress: [ 13 / 997 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 997 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- x (- (log (sqrt (+ (exp x) 1))))) (- (log (- (exp (+ x x)) 1)) (log (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (143 enodes) * * [misc]simplify: iters left: 2 (243 enodes) * * [misc]simplify: iters left: 1 (417 enodes) * [exit]simplify: Simplified to (- (+ (log (sqrt (+ (exp x) 1))) (log (sqrt (+ (exp x) 1)))) (- (log (- (* (exp x) (exp x)) 1)) x)) * [misc]simplify: Simplified (2 1) to (λ (x) (exp (- (+ (log (sqrt (+ (exp x) 1))) (log (sqrt (+ (exp x) 1)))) (- (log (- (* (exp x) (exp x)) 1)) x)))) * * * * [misc]progress: [ 16 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- x (- (log (sqrt (+ (exp x) 1))))) (log (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (118 enodes) * * [misc]simplify: iters left: 2 (263 enodes) * [exit]simplify: Simplified to (+ (- (log (sqrt (+ (exp x) 1))) (log (- (* (exp x) (exp x)) 1))) (+ (log (sqrt (+ (exp x) 1))) x)) * [misc]simplify: Simplified (2 1) to (λ (x) (exp (+ (- (log (sqrt (+ (exp x) 1))) (log (- (* (exp x) (exp x)) 1))) (+ (log (sqrt (+ (exp x) 1))) x)))) * * * * [misc]progress: [ 17 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- x (log (/ 1 (sqrt (+ (exp x) 1))))) (- (log (- (exp (+ x x)) 1)) (log (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (189 enodes) * [exit]simplify: Simplified to (+ (+ (log (sqrt (+ 1 (exp x)))) x) (- (log (sqrt (+ 1 (exp x)))) (log (- (exp (+ x x)) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (exp (+ (+ (log (sqrt (+ 1 (exp x)))) x) (- (log (sqrt (+ 1 (exp x)))) (log (- (exp (+ x x)) 1)))))) * * * * [misc]progress: [ 18 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- x (log (/ 1 (sqrt (+ (exp x) 1))))) (log (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (149 enodes) * * [misc]simplify: iters left: 2 (457 enodes) * [exit]simplify: Simplified to (+ (- (log (sqrt (+ 1 (exp x)))) (log (- (exp (+ x x)) 1))) (+ (log (sqrt (+ 1 (exp x)))) x)) * [misc]simplify: Simplified (2 1) to (λ (x) (exp (+ (- (log (sqrt (+ 1 (exp x)))) (log (- (exp (+ x x)) 1))) (+ (log (sqrt (+ 1 (exp x)))) x)))) * * * * [misc]progress: [ 19 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (- (log (- (exp (+ x x)) 1)) (log (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (160 enodes) * * [misc]simplify: iters left: 2 (371 enodes) * [exit]simplify: Simplified to (+ (- (log (sqrt (+ (exp x) 1))) (log (- (* (exp x) (exp x)) 1))) (+ (log (sqrt (+ (exp x) 1))) x)) * [misc]simplify: Simplified (2 1) to (λ (x) (exp (+ (- (log (sqrt (+ (exp x) 1))) (log (- (* (exp x) (exp x)) 1))) (+ (log (sqrt (+ (exp x) 1))) x)))) * * * * [misc]progress: [ 20 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (log (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (284 enodes) * [exit]simplify: Simplified to (- (+ x (log (sqrt (+ (exp x) 1)))) (log (/ (- (* (exp x) (exp x)) 1) (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (exp (- (+ x (log (sqrt (+ (exp x) 1)))) (log (/ (- (* (exp x) (exp x)) 1) (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 21 / 997 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 997 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (* (exp x) (exp x)) (exp x)) (* (* (/ 1 (sqrt (+ (exp x) 1))) (/ 1 (sqrt (+ (exp x) 1)))) (/ 1 (sqrt (+ (exp x) 1))))) (/ (* (* (- (exp (+ x x)) 1) (- (exp (+ x x)) 1)) (- (exp (+ x x)) 1)) (* (* (sqrt (+ 1 (exp x))) (sqrt (+ 1 (exp x)))) (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (224 enodes) * [exit]simplify: Simplified to (/ (pow (* (sqrt (+ (exp x) 1)) (exp x)) 3) (pow (/ (- (* (exp x) (exp x)) 1) (sqrt (+ (exp x) 1))) 3)) * [misc]simplify: Simplified (2 1) to (λ (x) (cbrt (/ (pow (* (sqrt (+ (exp x) 1)) (exp x)) 3) (pow (/ (- (* (exp x) (exp x)) 1) (sqrt (+ (exp x) 1))) 3)))) * * * * [misc]progress: [ 24 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (* (exp x) (exp x)) (exp x)) (* (* (/ 1 (sqrt (+ (exp x) 1))) (/ 1 (sqrt (+ (exp x) 1)))) (/ 1 (sqrt (+ (exp x) 1))))) (* (* (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (192 enodes) * [exit]simplify: Simplified to (* (/ (* (/ (exp x) 1) (sqrt (+ (exp x) 1))) (/ (- (* (exp x) (exp x)) 1) (sqrt (+ (exp x) 1)))) (* (/ (* (/ (exp x) 1) (sqrt (+ (exp x) 1))) (/ (- (* (exp x) (exp x)) 1) (sqrt (+ (exp x) 1)))) (/ (* (/ (exp x) 1) (sqrt (+ (exp x) 1))) (/ (- (* (exp x) (exp x)) 1) (sqrt (+ (exp x) 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (cbrt (* (/ (* (/ (exp x) 1) (sqrt (+ (exp x) 1))) (/ (- (* (exp x) (exp x)) 1) (sqrt (+ (exp x) 1)))) (* (/ (* (/ (exp x) 1) (sqrt (+ (exp x) 1))) (/ (- (* (exp x) (exp x)) 1) (sqrt (+ (exp x) 1)))) (/ (* (/ (exp x) 1) (sqrt (+ (exp x) 1))) (/ (- (* (exp x) (exp x)) 1) (sqrt (+ (exp x) 1)))))))) * * * * [misc]progress: [ 25 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ (* (* (- (exp (+ x x)) 1) (- (exp (+ x x)) 1)) (- (exp (+ x x)) 1)) (* (* (sqrt (+ 1 (exp x))) (sqrt (+ 1 (exp x)))) (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (208 enodes) * [exit]simplify: Simplified to (* (/ (* (exp (+ x x)) (* (+ (exp x) 1) (exp x))) (/ (- (exp (+ x x)) 1) (sqrt (+ (exp x) 1)))) (/ (* (sqrt (+ (exp x) 1)) (+ (exp x) 1)) (* (- (exp (+ x x)) 1) (- (exp (+ x x)) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (cbrt (* (/ (* (exp (+ x x)) (* (+ (exp x) 1) (exp x))) (/ (- (exp (+ x x)) 1) (sqrt (+ (exp x) 1)))) (/ (* (sqrt (+ (exp x) 1)) (+ (exp x) 1)) (* (- (exp (+ x x)) 1) (- (exp (+ x x)) 1)))))) * * * * [misc]progress: [ 26 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (* (* (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (198 enodes) * [exit]simplify: Simplified to (pow (/ (* (exp x) (sqrt (+ (exp x) 1))) (/ (- (exp (+ x x)) 1) (sqrt (+ (exp x) 1)))) 3) * [misc]simplify: Simplified (2 1) to (λ (x) (cbrt (pow (/ (* (exp x) (sqrt (+ (exp x) 1))) (/ (- (exp (+ x x)) 1) (sqrt (+ (exp x) 1)))) 3))) * * * * [misc]progress: [ 27 / 997 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 997 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 997 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 997 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (cbrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))))) (* (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))) (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (108 enodes) * * [misc]simplify: iters left: 1 (156 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (* (sqrt (+ (exp x) 1)) (exp x))) (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ (exp x) 1))))) (/ (cbrt (* (sqrt (+ (exp x) 1)) (exp x))) (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ (exp x) 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (cbrt (* (sqrt (+ (exp x) 1)) (exp x))) (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ (exp x) 1))))) (/ (cbrt (* (sqrt (+ (exp x) 1)) (exp x))) (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ (exp x) 1)))))) (/ (cbrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (100 enodes) * * [misc]simplify: iters left: 1 (152 enodes) * [exit]simplify: Simplified to (/ (cbrt (* (sqrt (+ (exp x) 1)) (exp x))) (cbrt (/ (- (* (exp x) (exp x)) 1) (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (cbrt (* (sqrt (+ (exp x) 1)) (exp x))) (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ (exp x) 1))))) (/ (cbrt (* (sqrt (+ (exp x) 1)) (exp x))) (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ (exp x) 1)))))) (/ (cbrt (* (sqrt (+ (exp x) 1)) (exp x))) (cbrt (/ (- (* (exp x) (exp x)) 1) (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 32 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (cbrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))))) (sqrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (93 enodes) * * [misc]simplify: iters left: 1 (141 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (* (sqrt (+ (exp x) 1)) (exp x))) (sqrt (/ (- (exp (+ x x)) 1) (sqrt (+ (exp x) 1))))) (cbrt (* (sqrt (+ (exp x) 1)) (exp x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (cbrt (* (sqrt (+ (exp x) 1)) (exp x))) (sqrt (/ (- (exp (+ x x)) 1) (sqrt (+ (exp x) 1))))) (cbrt (* (sqrt (+ (exp x) 1)) (exp x)))) (/ (cbrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (sqrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (sqrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (100 enodes) * * [misc]simplify: iters left: 1 (152 enodes) * [exit]simplify: Simplified to (/ (cbrt (* (sqrt (+ (exp x) 1)) (exp x))) (sqrt (/ (- (* (exp x) (exp x)) 1) (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (cbrt (* (sqrt (+ (exp x) 1)) (exp x))) (sqrt (/ (- (exp (+ x x)) 1) (sqrt (+ (exp x) 1))))) (cbrt (* (sqrt (+ (exp x) 1)) (exp x)))) (/ (cbrt (* (sqrt (+ (exp x) 1)) (exp x))) (sqrt (/ (- (* (exp x) (exp x)) 1) (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 33 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (cbrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))))) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (163 enodes) * * [misc]simplify: iters left: 2 (312 enodes) * * [misc]simplify: iters left: 1 (457 enodes) * [exit]simplify: Simplified to (* (* (/ (cbrt (sqrt (+ (exp x) 1))) (cbrt (- (exp (+ x x)) 1))) (cbrt (* (exp x) (sqrt (+ (exp x) 1))))) (* (/ (cbrt (sqrt (+ (exp x) 1))) (cbrt (- (exp (+ x x)) 1))) (cbrt (* (exp x) (sqrt (+ (exp x) 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (* (/ (cbrt (sqrt (+ (exp x) 1))) (cbrt (- (exp (+ x x)) 1))) (cbrt (* (exp x) (sqrt (+ (exp x) 1))))) (* (/ (cbrt (sqrt (+ (exp x) 1))) (cbrt (- (exp (+ x x)) 1))) (cbrt (* (exp x) (sqrt (+ (exp x) 1)))))) (/ (cbrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ (cbrt (- (exp (+ x x)) 1)) (cbrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ (cbrt (- (exp (+ x x)) 1)) (cbrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (105 enodes) * [exit]simplify: Simplified to (/ (cbrt (* (sqrt (+ (exp x) 1)) (exp x))) (/ (cbrt (- (* (exp x) (exp x)) 1)) (cbrt (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (* (/ (cbrt (sqrt (+ (exp x) 1))) (cbrt (- (exp (+ x x)) 1))) (cbrt (* (exp x) (sqrt (+ (exp x) 1))))) (* (/ (cbrt (sqrt (+ (exp x) 1))) (cbrt (- (exp (+ x x)) 1))) (cbrt (* (exp x) (sqrt (+ (exp x) 1)))))) (/ (cbrt (* (sqrt (+ (exp x) 1)) (exp x))) (/ (cbrt (- (* (exp x) (exp x)) 1)) (cbrt (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 34 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (cbrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))))) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (sqrt (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (114 enodes) * * [misc]simplify: iters left: 2 (183 enodes) * * [misc]simplify: iters left: 1 (249 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (* (exp x) (sqrt (+ (exp x) 1)))) (cbrt (- (exp (+ x x)) 1))) (/ (cbrt (* (exp x) (sqrt (+ (exp x) 1)))) (/ (cbrt (- (exp (+ x x)) 1)) (fabs (cbrt (+ (exp x) 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (cbrt (* (exp x) (sqrt (+ (exp x) 1)))) (cbrt (- (exp (+ x x)) 1))) (/ (cbrt (* (exp x) (sqrt (+ (exp x) 1)))) (/ (cbrt (- (exp (+ x x)) 1)) (fabs (cbrt (+ (exp x) 1)))))) (/ (cbrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (cbrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (cbrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (102 enodes) * [exit]simplify: Simplified to (/ (cbrt (* (sqrt (+ (exp x) 1)) (exp x))) (/ (cbrt (- (* (exp x) (exp x)) 1)) (sqrt (cbrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (cbrt (* (exp x) (sqrt (+ (exp x) 1)))) (cbrt (- (exp (+ x x)) 1))) (/ (cbrt (* (exp x) (sqrt (+ (exp x) 1)))) (/ (cbrt (- (exp (+ x x)) 1)) (fabs (cbrt (+ (exp x) 1)))))) (/ (cbrt (* (sqrt (+ (exp x) 1)) (exp x))) (/ (cbrt (- (* (exp x) (exp x)) 1)) (sqrt (cbrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 35 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (cbrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))))) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (112 enodes) * * [misc]simplify: iters left: 2 (186 enodes) * * [misc]simplify: iters left: 1 (249 enodes) * [exit]simplify: Simplified to (* (* (/ (sqrt (sqrt (+ (exp x) 1))) (cbrt (- (* (exp x) (exp x)) 1))) (cbrt (* (exp x) (sqrt (+ (exp x) 1))))) (/ (cbrt (* (exp x) (sqrt (+ (exp x) 1)))) (cbrt (- (* (exp x) (exp x)) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (* (/ (sqrt (sqrt (+ (exp x) 1))) (cbrt (- (* (exp x) (exp x)) 1))) (cbrt (* (exp x) (sqrt (+ (exp x) 1))))) (/ (cbrt (* (exp x) (sqrt (+ (exp x) 1)))) (cbrt (- (* (exp x) (exp x)) 1)))) (/ (cbrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (105 enodes) * [exit]simplify: Simplified to (/ (cbrt (* (sqrt (+ (exp x) 1)) (exp x))) (/ (cbrt (- (* (exp x) (exp x)) 1)) (sqrt (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (* (/ (sqrt (sqrt (+ (exp x) 1))) (cbrt (- (* (exp x) (exp x)) 1))) (cbrt (* (exp x) (sqrt (+ (exp x) 1))))) (/ (cbrt (* (exp x) (sqrt (+ (exp x) 1)))) (cbrt (- (* (exp x) (exp x)) 1)))) (/ (cbrt (* (sqrt (+ (exp x) 1)) (exp x))) (/ (cbrt (- (* (exp x) (exp x)) 1)) (sqrt (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 36 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (cbrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))))) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (sqrt 1))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (178 enodes) * * [misc]simplify: iters left: 1 (244 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (* (sqrt (+ (exp x) 1)) (exp x))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt 1))) (/ (cbrt (- (exp (+ x x)) 1)) (cbrt (* (sqrt (+ (exp x) 1)) (exp x))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (cbrt (* (sqrt (+ (exp x) 1)) (exp x))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt 1))) (/ (cbrt (- (exp (+ x x)) 1)) (cbrt (* (sqrt (+ (exp x) 1)) (exp x))))) (/ (cbrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (77 enodes) * * [misc]simplify: iters left: 1 (109 enodes) * [exit]simplify: Simplified to (/ (cbrt (* (sqrt (+ (exp x) 1)) (exp x))) (/ (cbrt (- (* (exp x) (exp x)) 1)) (sqrt (+ (exp x) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (cbrt (* (sqrt (+ (exp x) 1)) (exp x))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt 1))) (/ (cbrt (- (exp (+ x x)) 1)) (cbrt (* (sqrt (+ (exp x) 1)) (exp x))))) (/ (cbrt (* (sqrt (+ (exp x) 1)) (exp x))) (/ (cbrt (- (* (exp x) (exp x)) 1)) (sqrt (+ (exp x) 1)))))) * * * * [misc]progress: [ 37 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (cbrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))))) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (112 enodes) * * [misc]simplify: iters left: 2 (186 enodes) * * [misc]simplify: iters left: 1 (249 enodes) * [exit]simplify: Simplified to (* (* (/ (sqrt (sqrt (+ (exp x) 1))) (cbrt (- (* (exp x) (exp x)) 1))) (cbrt (* (exp x) (sqrt (+ (exp x) 1))))) (/ (cbrt (* (exp x) (sqrt (+ (exp x) 1)))) (cbrt (- (* (exp x) (exp x)) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (* (/ (sqrt (sqrt (+ (exp x) 1))) (cbrt (- (* (exp x) (exp x)) 1))) (cbrt (* (exp x) (sqrt (+ (exp x) 1))))) (/ (cbrt (* (exp x) (sqrt (+ (exp x) 1)))) (cbrt (- (* (exp x) (exp x)) 1)))) (/ (cbrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (105 enodes) * [exit]simplify: Simplified to (/ (cbrt (* (sqrt (+ (exp x) 1)) (exp x))) (/ (cbrt (- (* (exp x) (exp x)) 1)) (sqrt (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (* (/ (sqrt (sqrt (+ (exp x) 1))) (cbrt (- (* (exp x) (exp x)) 1))) (cbrt (* (exp x) (sqrt (+ (exp x) 1))))) (/ (cbrt (* (exp x) (sqrt (+ (exp x) 1)))) (cbrt (- (* (exp x) (exp x)) 1)))) (/ (cbrt (* (sqrt (+ (exp x) 1)) (exp x))) (/ (cbrt (- (* (exp x) (exp x)) 1)) (sqrt (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 38 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (cbrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))))) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) 1)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (195 enodes) * * [misc]simplify: iters left: 1 (314 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (* (exp x) (sqrt (+ (exp x) 1)))) (cbrt (- (* (exp x) (exp x)) 1))) (/ (cbrt (* (exp x) (sqrt (+ (exp x) 1)))) (cbrt (- (* (exp x) (exp x)) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (cbrt (* (exp x) (sqrt (+ (exp x) 1)))) (cbrt (- (* (exp x) (exp x)) 1))) (/ (cbrt (* (exp x) (sqrt (+ (exp x) 1)))) (cbrt (- (* (exp x) (exp x)) 1)))) (/ (cbrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (77 enodes) * * [misc]simplify: iters left: 1 (109 enodes) * [exit]simplify: Simplified to (/ (cbrt (* (sqrt (+ (exp x) 1)) (exp x))) (/ (cbrt (- (* (exp x) (exp x)) 1)) (sqrt (+ (exp x) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (cbrt (* (exp x) (sqrt (+ (exp x) 1)))) (cbrt (- (* (exp x) (exp x)) 1))) (/ (cbrt (* (exp x) (sqrt (+ (exp x) 1)))) (cbrt (- (* (exp x) (exp x)) 1)))) (/ (cbrt (* (sqrt (+ (exp x) 1)) (exp x))) (/ (cbrt (- (* (exp x) (exp x)) 1)) (sqrt (+ (exp x) 1)))))) * * * * [misc]progress: [ 39 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (cbrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))))) (/ (sqrt (- (exp (+ x x)) 1)) (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (150 enodes) * * [misc]simplify: iters left: 1 (218 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (+ (exp x) 1))) (cbrt (* (sqrt (+ (exp x) 1)) (exp x)))) (/ (/ (sqrt (- (* (exp x) (exp x)) 1)) (cbrt (sqrt (+ (exp x) 1)))) (cbrt (* (sqrt (+ (exp x) 1)) (exp x))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (cbrt (sqrt (+ (exp x) 1))) (cbrt (* (sqrt (+ (exp x) 1)) (exp x)))) (/ (/ (sqrt (- (* (exp x) (exp x)) 1)) (cbrt (sqrt (+ (exp x) 1)))) (cbrt (* (sqrt (+ (exp x) 1)) (exp x))))) (/ (cbrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (cbrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (cbrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (105 enodes) * [exit]simplify: Simplified to (/ (cbrt (* (sqrt (+ (exp x) 1)) (exp x))) (/ (sqrt (- (* (exp x) (exp x)) 1)) (cbrt (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (cbrt (sqrt (+ (exp x) 1))) (cbrt (* (sqrt (+ (exp x) 1)) (exp x)))) (/ (/ (sqrt (- (* (exp x) (exp x)) 1)) (cbrt (sqrt (+ (exp x) 1)))) (cbrt (* (sqrt (+ (exp x) 1)) (exp x))))) (/ (cbrt (* (sqrt (+ (exp x) 1)) (exp x))) (/ (sqrt (- (* (exp x) (exp x)) 1)) (cbrt (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 40 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (cbrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (104 enodes) * * [misc]simplify: iters left: 1 (144 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (* (sqrt (+ (exp x) 1)) (exp x))) (/ (sqrt (- (exp (+ x x)) 1)) (fabs (cbrt (+ (exp x) 1))))) (cbrt (* (sqrt (+ (exp x) 1)) (exp x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (cbrt (* (sqrt (+ (exp x) 1)) (exp x))) (/ (sqrt (- (exp (+ x x)) 1)) (fabs (cbrt (+ (exp x) 1))))) (cbrt (* (sqrt (+ (exp x) 1)) (exp x)))) (/ (cbrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (cbrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (cbrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (102 enodes) * [exit]simplify: Simplified to (/ (cbrt (* (sqrt (+ (exp x) 1)) (exp x))) (/ (sqrt (- (* (exp x) (exp x)) 1)) (sqrt (cbrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (cbrt (* (sqrt (+ (exp x) 1)) (exp x))) (/ (sqrt (- (exp (+ x x)) 1)) (fabs (cbrt (+ (exp x) 1))))) (cbrt (* (sqrt (+ (exp x) 1)) (exp x)))) (/ (cbrt (* (sqrt (+ (exp x) 1)) (exp x))) (/ (sqrt (- (* (exp x) (exp x)) 1)) (sqrt (cbrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 41 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (cbrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (102 enodes) * * [misc]simplify: iters left: 1 (142 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (* (sqrt (+ (exp x) 1)) (exp x))) (cbrt (* (sqrt (+ (exp x) 1)) (exp x)))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (cbrt (* (sqrt (+ (exp x) 1)) (exp x))) (cbrt (* (sqrt (+ (exp x) 1)) (exp x)))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ (exp x) 1))))) (/ (cbrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (105 enodes) * [exit]simplify: Simplified to (/ (cbrt (* (sqrt (+ (exp x) 1)) (exp x))) (/ (sqrt (- (* (exp x) (exp x)) 1)) (sqrt (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (cbrt (* (sqrt (+ (exp x) 1)) (exp x))) (cbrt (* (sqrt (+ (exp x) 1)) (exp x)))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ (exp x) 1))))) (/ (cbrt (* (sqrt (+ (exp x) 1)) (exp x))) (/ (sqrt (- (* (exp x) (exp x)) 1)) (sqrt (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 42 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (cbrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (136 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (* (exp x) (sqrt (+ (exp x) 1)))) (cbrt (* (exp x) (sqrt (+ (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (cbrt (* (exp x) (sqrt (+ (exp x) 1)))) (cbrt (* (exp x) (sqrt (+ (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt 1))) (/ (cbrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (77 enodes) * * [misc]simplify: iters left: 1 (109 enodes) * [exit]simplify: Simplified to (/ (cbrt (* (sqrt (+ (exp x) 1)) (exp x))) (/ (sqrt (- (* (exp x) (exp x)) 1)) (sqrt (+ (exp x) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (cbrt (* (exp x) (sqrt (+ (exp x) 1)))) (cbrt (* (exp x) (sqrt (+ (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt 1))) (/ (cbrt (* (sqrt (+ (exp x) 1)) (exp x))) (/ (sqrt (- (* (exp x) (exp x)) 1)) (sqrt (+ (exp x) 1)))))) * * * * [misc]progress: [ 43 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (cbrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (102 enodes) * * [misc]simplify: iters left: 1 (142 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (* (sqrt (+ (exp x) 1)) (exp x))) (cbrt (* (sqrt (+ (exp x) 1)) (exp x)))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (cbrt (* (sqrt (+ (exp x) 1)) (exp x))) (cbrt (* (sqrt (+ (exp x) 1)) (exp x)))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ (exp x) 1))))) (/ (cbrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (105 enodes) * [exit]simplify: Simplified to (/ (cbrt (* (sqrt (+ (exp x) 1)) (exp x))) (/ (sqrt (- (* (exp x) (exp x)) 1)) (sqrt (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (cbrt (* (sqrt (+ (exp x) 1)) (exp x))) (cbrt (* (sqrt (+ (exp x) 1)) (exp x)))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ (exp x) 1))))) (/ (cbrt (* (sqrt (+ (exp x) 1)) (exp x))) (/ (sqrt (- (* (exp x) (exp x)) 1)) (sqrt (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 44 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (cbrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))))) (/ (sqrt (- (exp (+ x x)) 1)) 1)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (86 enodes) * * [misc]simplify: iters left: 1 (126 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (* (sqrt (+ (exp x) 1)) (exp x))) (cbrt (* (sqrt (+ (exp x) 1)) (exp x)))) (sqrt (- (exp (+ x x)) 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (cbrt (* (sqrt (+ (exp x) 1)) (exp x))) (cbrt (* (sqrt (+ (exp x) 1)) (exp x)))) (sqrt (- (exp (+ x x)) 1))) (/ (cbrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (77 enodes) * * [misc]simplify: iters left: 1 (109 enodes) * [exit]simplify: Simplified to (/ (cbrt (* (sqrt (+ (exp x) 1)) (exp x))) (/ (sqrt (- (* (exp x) (exp x)) 1)) (sqrt (+ (exp x) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (cbrt (* (sqrt (+ (exp x) 1)) (exp x))) (cbrt (* (sqrt (+ (exp x) 1)) (exp x)))) (sqrt (- (exp (+ x x)) 1))) (/ (cbrt (* (sqrt (+ (exp x) 1)) (exp x))) (/ (sqrt (- (* (exp x) (exp x)) 1)) (sqrt (+ (exp x) 1)))))) * * * * [misc]progress: [ 45 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (cbrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))))) (/ 1 (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (187 enodes) * [exit]simplify: Simplified to (* (* (cbrt (* (exp x) (sqrt (+ (exp x) 1)))) (cbrt (sqrt (+ (exp x) 1)))) (* (cbrt (* (exp x) (sqrt (+ (exp x) 1)))) (cbrt (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (* (cbrt (* (exp x) (sqrt (+ (exp x) 1)))) (cbrt (sqrt (+ (exp x) 1)))) (* (cbrt (* (exp x) (sqrt (+ (exp x) 1)))) (cbrt (sqrt (+ (exp x) 1))))) (/ (cbrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp (+ x x)) 1) (cbrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp (+ x x)) 1) (cbrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (117 enodes) * * [misc]simplify: iters left: 1 (221 enodes) * [exit]simplify: Simplified to (/ (cbrt (* (sqrt (+ (exp x) 1)) (exp x))) (/ (- (* (exp x) (exp x)) 1) (cbrt (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (* (cbrt (* (exp x) (sqrt (+ (exp x) 1)))) (cbrt (sqrt (+ (exp x) 1)))) (* (cbrt (* (exp x) (sqrt (+ (exp x) 1)))) (cbrt (sqrt (+ (exp x) 1))))) (/ (cbrt (* (sqrt (+ (exp x) 1)) (exp x))) (/ (- (* (exp x) (exp x)) 1) (cbrt (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 46 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (cbrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))))) (/ 1 (sqrt (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (169 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (exp x) 1)) (exp x))) (* (cbrt (* (sqrt (+ (exp x) 1)) (exp x))) (fabs (cbrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (cbrt (* (sqrt (+ (exp x) 1)) (exp x))) (* (cbrt (* (sqrt (+ (exp x) 1)) (exp x))) (fabs (cbrt (+ (exp x) 1))))) (/ (cbrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp (+ x x)) 1) (sqrt (cbrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp (+ x x)) 1) (sqrt (cbrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (117 enodes) * * [misc]simplify: iters left: 1 (221 enodes) * [exit]simplify: Simplified to (/ (cbrt (* (sqrt (+ (exp x) 1)) (exp x))) (/ (- (* (exp x) (exp x)) 1) (sqrt (cbrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (cbrt (* (sqrt (+ (exp x) 1)) (exp x))) (* (cbrt (* (sqrt (+ (exp x) 1)) (exp x))) (fabs (cbrt (+ (exp x) 1))))) (/ (cbrt (* (sqrt (+ (exp x) 1)) (exp x))) (/ (- (* (exp x) (exp x)) 1) (sqrt (cbrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 47 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (cbrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))))) (/ 1 (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (248 enodes) * [exit]simplify: Simplified to (* (* (cbrt (* (sqrt (+ (exp x) 1)) (exp x))) (cbrt (* (sqrt (+ (exp x) 1)) (exp x)))) (sqrt (sqrt (+ (exp x) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (* (cbrt (* (sqrt (+ (exp x) 1)) (exp x))) (cbrt (* (sqrt (+ (exp x) 1)) (exp x)))) (sqrt (sqrt (+ (exp x) 1)))) (/ (cbrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp (+ x x)) 1) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp (+ x x)) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (117 enodes) * * [misc]simplify: iters left: 1 (221 enodes) * [exit]simplify: Simplified to (/ (cbrt (* (sqrt (+ (exp x) 1)) (exp x))) (/ (- (* (exp x) (exp x)) 1) (sqrt (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (* (cbrt (* (sqrt (+ (exp x) 1)) (exp x))) (cbrt (* (sqrt (+ (exp x) 1)) (exp x)))) (sqrt (sqrt (+ (exp x) 1)))) (/ (cbrt (* (sqrt (+ (exp x) 1)) (exp x))) (/ (- (* (exp x) (exp x)) 1) (sqrt (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 48 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (cbrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))))) (/ 1 (sqrt 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * * [misc]simplify: iters left: 1 (248 enodes) * [exit]simplify: Simplified to (* (* (cbrt (* (exp x) (sqrt (+ (exp x) 1)))) (sqrt 1)) (cbrt (* (exp x) (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (* (cbrt (* (exp x) (sqrt (+ (exp x) 1)))) (sqrt 1)) (cbrt (* (exp x) (sqrt (+ (exp x) 1))))) (/ (cbrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (139 enodes) * * [misc]simplify: iters left: 1 (253 enodes) * [exit]simplify: Simplified to (* (cbrt (* (exp x) (sqrt (+ (exp x) 1)))) (/ (sqrt (+ (exp x) 1)) (- (exp (+ x x)) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (* (cbrt (* (exp x) (sqrt (+ (exp x) 1)))) (sqrt 1)) (cbrt (* (exp x) (sqrt (+ (exp x) 1))))) (* (cbrt (* (exp x) (sqrt (+ (exp x) 1)))) (/ (sqrt (+ (exp x) 1)) (- (exp (+ x x)) 1))))) * * * * [misc]progress: [ 49 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (cbrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))))) (/ 1 (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (248 enodes) * [exit]simplify: Simplified to (* (* (cbrt (* (sqrt (+ (exp x) 1)) (exp x))) (cbrt (* (sqrt (+ (exp x) 1)) (exp x)))) (sqrt (sqrt (+ (exp x) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (* (cbrt (* (sqrt (+ (exp x) 1)) (exp x))) (cbrt (* (sqrt (+ (exp x) 1)) (exp x)))) (sqrt (sqrt (+ (exp x) 1)))) (/ (cbrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp (+ x x)) 1) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp (+ x x)) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (117 enodes) * * [misc]simplify: iters left: 1 (221 enodes) * [exit]simplify: Simplified to (/ (cbrt (* (sqrt (+ (exp x) 1)) (exp x))) (/ (- (* (exp x) (exp x)) 1) (sqrt (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (* (cbrt (* (sqrt (+ (exp x) 1)) (exp x))) (cbrt (* (sqrt (+ (exp x) 1)) (exp x)))) (sqrt (sqrt (+ (exp x) 1)))) (/ (cbrt (* (sqrt (+ (exp x) 1)) (exp x))) (/ (- (* (exp x) (exp x)) 1) (sqrt (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 50 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (cbrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))))) (/ 1 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (64 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (exp x) 1)) (exp x))) (cbrt (* (sqrt (+ (exp x) 1)) (exp x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (cbrt (* (sqrt (+ (exp x) 1)) (exp x))) (cbrt (* (sqrt (+ (exp x) 1)) (exp x)))) (/ (cbrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (139 enodes) * * [misc]simplify: iters left: 1 (253 enodes) * [exit]simplify: Simplified to (* (cbrt (* (exp x) (sqrt (+ (exp x) 1)))) (/ (sqrt (+ (exp x) 1)) (- (exp (+ x x)) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (cbrt (* (sqrt (+ (exp x) 1)) (exp x))) (cbrt (* (sqrt (+ (exp x) 1)) (exp x)))) (* (cbrt (* (exp x) (sqrt (+ (exp x) 1)))) (/ (sqrt (+ (exp x) 1)) (- (exp (+ x x)) 1))))) * * * * [misc]progress: [ 51 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (cbrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))))) (/ (+ (exp x) 1) (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (116 enodes) * * [misc]simplify: iters left: 1 (156 enodes) * [exit]simplify: Simplified to (/ (* (* (cbrt (sqrt (+ (exp x) 1))) (cbrt (sqrt (+ (exp x) 1)))) (cbrt (* (exp x) (sqrt (+ (exp x) 1))))) (/ (+ (exp x) 1) (cbrt (* (exp x) (sqrt (+ (exp x) 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (* (cbrt (sqrt (+ (exp x) 1))) (cbrt (sqrt (+ (exp x) 1)))) (cbrt (* (exp x) (sqrt (+ (exp x) 1))))) (/ (+ (exp x) 1) (cbrt (* (exp x) (sqrt (+ (exp x) 1)))))) (/ (cbrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp x) 1) (cbrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp x) 1) (cbrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (91 enodes) * [exit]simplify: Simplified to (/ (cbrt (* (sqrt (+ (exp x) 1)) (exp x))) (/ (- (exp x) 1) (cbrt (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (* (cbrt (sqrt (+ (exp x) 1))) (cbrt (sqrt (+ (exp x) 1)))) (cbrt (* (exp x) (sqrt (+ (exp x) 1))))) (/ (+ (exp x) 1) (cbrt (* (exp x) (sqrt (+ (exp x) 1)))))) (/ (cbrt (* (sqrt (+ (exp x) 1)) (exp x))) (/ (- (exp x) 1) (cbrt (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 52 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (cbrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))))) (/ (+ (exp x) 1) (sqrt (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (/ (cbrt (* (sqrt (+ (exp x) 1)) (exp x))) (/ (/ (+ (exp x) 1) (fabs (cbrt (+ (exp x) 1)))) (cbrt (* (sqrt (+ (exp x) 1)) (exp x))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (cbrt (* (sqrt (+ (exp x) 1)) (exp x))) (/ (/ (+ (exp x) 1) (fabs (cbrt (+ (exp x) 1)))) (cbrt (* (sqrt (+ (exp x) 1)) (exp x))))) (/ (cbrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp x) 1) (sqrt (cbrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp x) 1) (sqrt (cbrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (91 enodes) * [exit]simplify: Simplified to (/ (cbrt (* (sqrt (+ (exp x) 1)) (exp x))) (/ (- (exp x) 1) (sqrt (cbrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (cbrt (* (sqrt (+ (exp x) 1)) (exp x))) (/ (/ (+ (exp x) 1) (fabs (cbrt (+ (exp x) 1)))) (cbrt (* (sqrt (+ (exp x) 1)) (exp x))))) (/ (cbrt (* (sqrt (+ (exp x) 1)) (exp x))) (/ (- (exp x) 1) (sqrt (cbrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 53 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (cbrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))))) (/ (+ (exp x) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (* (sqrt (+ (exp x) 1)) (exp x))) (+ (exp x) 1)) (* (sqrt (sqrt (+ (exp x) 1))) (cbrt (* (sqrt (+ (exp x) 1)) (exp x))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (cbrt (* (sqrt (+ (exp x) 1)) (exp x))) (+ (exp x) 1)) (* (sqrt (sqrt (+ (exp x) 1))) (cbrt (* (sqrt (+ (exp x) 1)) (exp x))))) (/ (cbrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp x) 1) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp x) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (91 enodes) * [exit]simplify: Simplified to (/ (cbrt (* (sqrt (+ (exp x) 1)) (exp x))) (/ (- (exp x) 1) (sqrt (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (cbrt (* (sqrt (+ (exp x) 1)) (exp x))) (+ (exp x) 1)) (* (sqrt (sqrt (+ (exp x) 1))) (cbrt (* (sqrt (+ (exp x) 1)) (exp x))))) (/ (cbrt (* (sqrt (+ (exp x) 1)) (exp x))) (/ (- (exp x) 1) (sqrt (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 54 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (cbrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))))) (/ (+ (exp x) 1) (sqrt 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (80 enodes) * [exit]simplify: Simplified to (* (/ (sqrt 1) (+ (exp x) 1)) (* (cbrt (* (exp x) (sqrt (+ (exp x) 1)))) (cbrt (* (exp x) (sqrt (+ (exp x) 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (sqrt 1) (+ (exp x) 1)) (* (cbrt (* (exp x) (sqrt (+ (exp x) 1)))) (cbrt (* (exp x) (sqrt (+ (exp x) 1)))))) (/ (cbrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp x) 1) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp x) 1) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: iters left: 1 (119 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (+ (exp x) 1)) (- (exp x) 1)) (cbrt (* (sqrt (+ (exp x) 1)) (exp x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (sqrt 1) (+ (exp x) 1)) (* (cbrt (* (exp x) (sqrt (+ (exp x) 1)))) (cbrt (* (exp x) (sqrt (+ (exp x) 1)))))) (* (/ (sqrt (+ (exp x) 1)) (- (exp x) 1)) (cbrt (* (sqrt (+ (exp x) 1)) (exp x)))))) * * * * [misc]progress: [ 55 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (cbrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))))) (/ (+ (exp x) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (* (sqrt (+ (exp x) 1)) (exp x))) (+ (exp x) 1)) (* (sqrt (sqrt (+ (exp x) 1))) (cbrt (* (sqrt (+ (exp x) 1)) (exp x))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (cbrt (* (sqrt (+ (exp x) 1)) (exp x))) (+ (exp x) 1)) (* (sqrt (sqrt (+ (exp x) 1))) (cbrt (* (sqrt (+ (exp x) 1)) (exp x))))) (/ (cbrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp x) 1) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp x) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (91 enodes) * [exit]simplify: Simplified to (/ (cbrt (* (sqrt (+ (exp x) 1)) (exp x))) (/ (- (exp x) 1) (sqrt (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (cbrt (* (sqrt (+ (exp x) 1)) (exp x))) (+ (exp x) 1)) (* (sqrt (sqrt (+ (exp x) 1))) (cbrt (* (sqrt (+ (exp x) 1)) (exp x))))) (/ (cbrt (* (sqrt (+ (exp x) 1)) (exp x))) (/ (- (exp x) 1) (sqrt (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 56 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (cbrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))))) (/ (+ (exp x) 1) 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (66 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (* (sqrt (+ (exp x) 1)) (exp x))) (cbrt (* (sqrt (+ (exp x) 1)) (exp x)))) (+ (exp x) 1)) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (cbrt (* (sqrt (+ (exp x) 1)) (exp x))) (cbrt (* (sqrt (+ (exp x) 1)) (exp x)))) (+ (exp x) 1)) (/ (cbrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp x) 1) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp x) 1) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: iters left: 1 (119 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (+ (exp x) 1)) (- (exp x) 1)) (cbrt (* (sqrt (+ (exp x) 1)) (exp x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (cbrt (* (sqrt (+ (exp x) 1)) (exp x))) (cbrt (* (sqrt (+ (exp x) 1)) (exp x)))) (+ (exp x) 1)) (* (/ (sqrt (+ (exp x) 1)) (- (exp x) 1)) (cbrt (* (sqrt (+ (exp x) 1)) (exp x)))))) * * * * [misc]progress: [ 57 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (cbrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))))) (/ (+ (sqrt (exp (+ x x))) 1) (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (129 enodes) * * [misc]simplify: iters left: 1 (170 enodes) * [exit]simplify: Simplified to (* (* (cbrt (sqrt (+ (exp x) 1))) (cbrt (* (sqrt (+ (exp x) 1)) (exp x)))) (* (/ (cbrt (sqrt (+ (exp x) 1))) (+ 1 (fabs (exp x)))) (cbrt (* (sqrt (+ (exp x) 1)) (exp x))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (* (cbrt (sqrt (+ (exp x) 1))) (cbrt (* (sqrt (+ (exp x) 1)) (exp x)))) (* (/ (cbrt (sqrt (+ (exp x) 1))) (+ 1 (fabs (exp x)))) (cbrt (* (sqrt (+ (exp x) 1)) (exp x))))) (/ (cbrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (sqrt (exp (+ x x))) 1) (cbrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (sqrt (exp (+ x x))) 1) (cbrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (/ (cbrt (* (exp x) (sqrt (+ (exp x) 1)))) (/ (- (fabs (exp x)) 1) (cbrt (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (* (cbrt (sqrt (+ (exp x) 1))) (cbrt (* (sqrt (+ (exp x) 1)) (exp x)))) (* (/ (cbrt (sqrt (+ (exp x) 1))) (+ 1 (fabs (exp x)))) (cbrt (* (sqrt (+ (exp x) 1)) (exp x))))) (/ (cbrt (* (exp x) (sqrt (+ (exp x) 1)))) (/ (- (fabs (exp x)) 1) (cbrt (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 58 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (cbrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))))) (/ (+ (sqrt (exp (+ x x))) 1) (sqrt (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (97 enodes) * [exit]simplify: Simplified to (* (/ (fabs (cbrt (+ (exp x) 1))) (+ 1 (fabs (exp x)))) (* (cbrt (* (sqrt (+ (exp x) 1)) (exp x))) (cbrt (* (sqrt (+ (exp x) 1)) (exp x))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (fabs (cbrt (+ (exp x) 1))) (+ 1 (fabs (exp x)))) (* (cbrt (* (sqrt (+ (exp x) 1)) (exp x))) (cbrt (* (sqrt (+ (exp x) 1)) (exp x))))) (/ (cbrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (cbrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (cbrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (/ (cbrt (* (exp x) (sqrt (+ (exp x) 1)))) (/ (- (fabs (exp x)) 1) (sqrt (cbrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (fabs (cbrt (+ (exp x) 1))) (+ 1 (fabs (exp x)))) (* (cbrt (* (sqrt (+ (exp x) 1)) (exp x))) (cbrt (* (sqrt (+ (exp x) 1)) (exp x))))) (/ (cbrt (* (exp x) (sqrt (+ (exp x) 1)))) (/ (- (fabs (exp x)) 1) (sqrt (cbrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 59 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (cbrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))))) (/ (+ (sqrt (exp (+ x x))) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (95 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (* (sqrt (+ (exp x) 1)) (exp x))) (cbrt (* (sqrt (+ (exp x) 1)) (exp x)))) (/ (+ 1 (fabs (exp x))) (sqrt (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (cbrt (* (sqrt (+ (exp x) 1)) (exp x))) (cbrt (* (sqrt (+ (exp x) 1)) (exp x)))) (/ (+ 1 (fabs (exp x))) (sqrt (sqrt (+ (exp x) 1))))) (/ (cbrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (/ (cbrt (* (exp x) (sqrt (+ (exp x) 1)))) (/ (- (fabs (exp x)) 1) (sqrt (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (cbrt (* (sqrt (+ (exp x) 1)) (exp x))) (cbrt (* (sqrt (+ (exp x) 1)) (exp x)))) (/ (+ 1 (fabs (exp x))) (sqrt (sqrt (+ (exp x) 1))))) (/ (cbrt (* (exp x) (sqrt (+ (exp x) 1)))) (/ (- (fabs (exp x)) 1) (sqrt (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 60 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (cbrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))))) (/ (+ (sqrt (exp (+ x x))) 1) (sqrt 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (94 enodes) * [exit]simplify: Simplified to (* (* (cbrt (* (exp x) (sqrt (+ (exp x) 1)))) (sqrt 1)) (/ (cbrt (* (exp x) (sqrt (+ (exp x) 1)))) (+ 1 (fabs (exp x))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (* (cbrt (* (exp x) (sqrt (+ (exp x) 1)))) (sqrt 1)) (/ (cbrt (* (exp x) (sqrt (+ (exp x) 1)))) (+ 1 (fabs (exp x))))) (/ (cbrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (/ (cbrt (* (exp x) (sqrt (+ (exp x) 1)))) (/ (- (fabs (exp x)) 1) (sqrt (+ (exp x) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (* (cbrt (* (exp x) (sqrt (+ (exp x) 1)))) (sqrt 1)) (/ (cbrt (* (exp x) (sqrt (+ (exp x) 1)))) (+ 1 (fabs (exp x))))) (/ (cbrt (* (exp x) (sqrt (+ (exp x) 1)))) (/ (- (fabs (exp x)) 1) (sqrt (+ (exp x) 1)))))) * * * * [misc]progress: [ 61 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (cbrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))))) (/ (+ (sqrt (exp (+ x x))) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (95 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (* (sqrt (+ (exp x) 1)) (exp x))) (cbrt (* (sqrt (+ (exp x) 1)) (exp x)))) (/ (+ 1 (fabs (exp x))) (sqrt (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (cbrt (* (sqrt (+ (exp x) 1)) (exp x))) (cbrt (* (sqrt (+ (exp x) 1)) (exp x)))) (/ (+ 1 (fabs (exp x))) (sqrt (sqrt (+ (exp x) 1))))) (/ (cbrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (/ (cbrt (* (exp x) (sqrt (+ (exp x) 1)))) (/ (- (fabs (exp x)) 1) (sqrt (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (cbrt (* (sqrt (+ (exp x) 1)) (exp x))) (cbrt (* (sqrt (+ (exp x) 1)) (exp x)))) (/ (+ 1 (fabs (exp x))) (sqrt (sqrt (+ (exp x) 1))))) (/ (cbrt (* (exp x) (sqrt (+ (exp x) 1)))) (/ (- (fabs (exp x)) 1) (sqrt (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 62 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (cbrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))))) (/ (+ (sqrt (exp (+ x x))) 1) 1)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (80 enodes) * [exit]simplify: Simplified to (/ (cbrt (* (sqrt (+ (exp x) 1)) (exp x))) (/ (+ 1 (fabs (exp x))) (cbrt (* (sqrt (+ (exp x) 1)) (exp x))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (cbrt (* (sqrt (+ (exp x) 1)) (exp x))) (/ (+ 1 (fabs (exp x))) (cbrt (* (sqrt (+ (exp x) 1)) (exp x))))) (/ (cbrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (/ (cbrt (* (exp x) (sqrt (+ (exp x) 1)))) (/ (- (fabs (exp x)) 1) (sqrt (+ (exp x) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (cbrt (* (sqrt (+ (exp x) 1)) (exp x))) (/ (+ 1 (fabs (exp x))) (cbrt (* (sqrt (+ (exp x) 1)) (exp x))))) (/ (cbrt (* (exp x) (sqrt (+ (exp x) 1)))) (/ (- (fabs (exp x)) 1) (sqrt (+ (exp x) 1)))))) * * * * [misc]progress: [ 63 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (cbrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))))) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * [exit]simplify: Simplified to (* (cbrt (* (exp x) (sqrt (+ (exp x) 1)))) (cbrt (* (exp x) (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (cbrt (* (exp x) (sqrt (+ (exp x) 1)))) (cbrt (* (exp x) (sqrt (+ (exp x) 1))))) (/ (cbrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (139 enodes) * * [misc]simplify: iters left: 1 (253 enodes) * [exit]simplify: Simplified to (* (cbrt (* (exp x) (sqrt (+ (exp x) 1)))) (/ (sqrt (+ (exp x) 1)) (- (exp (+ x x)) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (cbrt (* (exp x) (sqrt (+ (exp x) 1)))) (cbrt (* (exp x) (sqrt (+ (exp x) 1))))) (* (cbrt (* (exp x) (sqrt (+ (exp x) 1)))) (/ (sqrt (+ (exp x) 1)) (- (exp (+ x x)) 1))))) * * * * [misc]progress: [ 64 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (cbrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))))) (- (exp (+ x x)) 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (102 enodes) * * [misc]simplify: iters left: 1 (181 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (* (sqrt (+ (exp x) 1)) (exp x))) (+ (exp x) 1)) (/ (cbrt (* (sqrt (+ (exp x) 1)) (exp x))) (- (exp x) 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (cbrt (* (sqrt (+ (exp x) 1)) (exp x))) (+ (exp x) 1)) (/ (cbrt (* (sqrt (+ (exp x) 1)) (exp x))) (- (exp x) 1))) (/ (cbrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ 1 (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ 1 (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * [exit]simplify: Simplified to (* (cbrt (* (exp x) (sqrt (+ (exp x) 1)))) (sqrt (+ (exp x) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (cbrt (* (sqrt (+ (exp x) 1)) (exp x))) (+ (exp x) 1)) (/ (cbrt (* (sqrt (+ (exp x) 1)) (exp x))) (- (exp x) 1))) (* (cbrt (* (exp x) (sqrt (+ (exp x) 1)))) (sqrt (+ (exp x) 1))))) * * * * [misc]progress: [ 65 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (cbrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))))) (/ (- (exp (+ x x)) 1) (sqrt (+ (pow 1 3) (pow (exp x) 3))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (147 enodes) * * [misc]simplify: iters left: 2 (268 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt (+ (pow (exp x) 3) 1)) (- (exp x) 1)) (cbrt (* (sqrt (+ (exp x) 1)) (exp x)))) (/ (+ (exp x) 1) (cbrt (* (sqrt (+ (exp x) 1)) (exp x))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (/ (sqrt (+ (pow (exp x) 3) 1)) (- (exp x) 1)) (cbrt (* (sqrt (+ (exp x) 1)) (exp x)))) (/ (+ (exp x) 1) (cbrt (* (sqrt (+ (exp x) 1)) (exp x))))) (/ (cbrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (sqrt (+ (* 1 1) (- (* (exp x) (exp x)) (* 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (sqrt (+ (* 1 1) (- (* (exp x) (exp x)) (* 1 (exp x)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (192 enodes) * [exit]simplify: Simplified to (/ (cbrt (* (exp x) (sqrt (+ (exp x) 1)))) (sqrt (- (* (exp x) (exp x)) (- (exp x) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (/ (sqrt (+ (pow (exp x) 3) 1)) (- (exp x) 1)) (cbrt (* (sqrt (+ (exp x) 1)) (exp x)))) (/ (+ (exp x) 1) (cbrt (* (sqrt (+ (exp x) 1)) (exp x))))) (/ (cbrt (* (exp x) (sqrt (+ (exp x) 1)))) (sqrt (- (* (exp x) (exp x)) (- (exp x) 1)))))) * * * * [misc]progress: [ 66 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (cbrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))))) (/ (- (exp (+ x x)) 1) (sqrt (- (* 1 1) (* (exp x) (exp x)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (136 enodes) * * [misc]simplify: iters left: 2 (289 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (* (exp x) (sqrt (+ (exp x) 1)))) (cbrt (* (exp x) (sqrt (+ (exp x) 1))))) (/ (- (exp (+ x x)) 1) (sqrt (- 1 (exp (+ x x)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (cbrt (* (exp x) (sqrt (+ (exp x) 1)))) (cbrt (* (exp x) (sqrt (+ (exp x) 1))))) (/ (- (exp (+ x x)) 1) (sqrt (- 1 (exp (+ x x)))))) (/ (cbrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (sqrt (- 1 (exp x)))))) * [enter]simplify: Simplifying (/ (cbrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (sqrt (- 1 (exp x)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (/ (cbrt (* (sqrt (+ (exp x) 1)) (exp x))) (sqrt (- 1 (exp x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (cbrt (* (exp x) (sqrt (+ (exp x) 1)))) (cbrt (* (exp x) (sqrt (+ (exp x) 1))))) (/ (- (exp (+ x x)) 1) (sqrt (- 1 (exp (+ x x)))))) (/ (cbrt (* (sqrt (+ (exp x) 1)) (exp x))) (sqrt (- 1 (exp x)))))) * * * * [misc]progress: [ 67 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (* (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))) (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (103 enodes) * * [misc]simplify: iters left: 1 (154 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (sqrt (+ (exp x) 1)) (exp x))) (* (cbrt (/ (- (* (exp x) (exp x)) 1) (sqrt (+ (exp x) 1)))) (cbrt (/ (- (* (exp x) (exp x)) 1) (sqrt (+ (exp x) 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (* (sqrt (+ (exp x) 1)) (exp x))) (* (cbrt (/ (- (* (exp x) (exp x)) 1) (sqrt (+ (exp x) 1)))) (cbrt (/ (- (* (exp x) (exp x)) 1) (sqrt (+ (exp x) 1)))))) (/ (sqrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (100 enodes) * * [misc]simplify: iters left: 1 (152 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (sqrt (+ (exp x) 1)) (exp x))) (cbrt (/ (- (* (exp x) (exp x)) 1) (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (* (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))) (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))))) (/ (sqrt (* (sqrt (+ (exp x) 1)) (exp x))) (cbrt (/ (- (* (exp x) (exp x)) 1) (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 68 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (sqrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (100 enodes) * * [misc]simplify: iters left: 1 (152 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (sqrt (+ (exp x) 1)) (exp x))) (sqrt (/ (- (* (exp x) (exp x)) 1) (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (* (sqrt (+ (exp x) 1)) (exp x))) (sqrt (/ (- (* (exp x) (exp x)) 1) (sqrt (+ (exp x) 1))))) (/ (sqrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (sqrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (sqrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (100 enodes) * * [misc]simplify: iters left: 1 (152 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (sqrt (+ (exp x) 1)) (exp x))) (sqrt (/ (- (* (exp x) (exp x)) 1) (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (* (sqrt (+ (exp x) 1)) (exp x))) (sqrt (/ (- (* (exp x) (exp x)) 1) (sqrt (+ (exp x) 1))))) (/ (sqrt (* (sqrt (+ (exp x) 1)) (exp x))) (sqrt (/ (- (* (exp x) (exp x)) 1) (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 69 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (151 enodes) * * [misc]simplify: iters left: 1 (209 enodes) * [exit]simplify: Simplified to (* (* (/ (cbrt (sqrt (+ (exp x) 1))) (cbrt (- (* (exp x) (exp x)) 1))) (sqrt (* (exp x) (sqrt (+ (exp x) 1))))) (/ (cbrt (sqrt (+ (exp x) 1))) (cbrt (- (* (exp x) (exp x)) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (* (/ (cbrt (sqrt (+ (exp x) 1))) (cbrt (- (* (exp x) (exp x)) 1))) (sqrt (* (exp x) (sqrt (+ (exp x) 1))))) (/ (cbrt (sqrt (+ (exp x) 1))) (cbrt (- (* (exp x) (exp x)) 1)))) (/ (sqrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ (cbrt (- (exp (+ x x)) 1)) (cbrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ (cbrt (- (exp (+ x x)) 1)) (cbrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (105 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (sqrt (+ (exp x) 1)) (exp x))) (/ (cbrt (- (* (exp x) (exp x)) 1)) (cbrt (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))))) (/ (sqrt (* (sqrt (+ (exp x) 1)) (exp x))) (/ (cbrt (- (* (exp x) (exp x)) 1)) (cbrt (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 70 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (sqrt (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (138 enodes) * [exit]simplify: Simplified to (* (fabs (cbrt (+ (exp x) 1))) (/ (sqrt (* (sqrt (+ (exp x) 1)) (exp x))) (* (cbrt (- (* (exp x) (exp x)) 1)) (cbrt (- (* (exp x) (exp x)) 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (fabs (cbrt (+ (exp x) 1))) (/ (sqrt (* (sqrt (+ (exp x) 1)) (exp x))) (* (cbrt (- (* (exp x) (exp x)) 1)) (cbrt (- (* (exp x) (exp x)) 1))))) (/ (sqrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (cbrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (cbrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (102 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (sqrt (+ (exp x) 1)) (exp x))) (/ (cbrt (- (* (exp x) (exp x)) 1)) (sqrt (cbrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (fabs (cbrt (+ (exp x) 1))) (/ (sqrt (* (sqrt (+ (exp x) 1)) (exp x))) (* (cbrt (- (* (exp x) (exp x)) 1)) (cbrt (- (* (exp x) (exp x)) 1))))) (/ (sqrt (* (sqrt (+ (exp x) 1)) (exp x))) (/ (cbrt (- (* (exp x) (exp x)) 1)) (sqrt (cbrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 71 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (95 enodes) * * [misc]simplify: iters left: 1 (136 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (* (sqrt (+ (exp x) 1)) (exp x))) (* (cbrt (- (* (exp x) (exp x)) 1)) (cbrt (- (* (exp x) (exp x)) 1)))) (sqrt (sqrt (+ (exp x) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (sqrt (* (sqrt (+ (exp x) 1)) (exp x))) (* (cbrt (- (* (exp x) (exp x)) 1)) (cbrt (- (* (exp x) (exp x)) 1)))) (sqrt (sqrt (+ (exp x) 1)))) (/ (sqrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (105 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (sqrt (+ (exp x) 1)) (exp x))) (/ (cbrt (- (* (exp x) (exp x)) 1)) (sqrt (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (sqrt (sqrt (+ 1 (exp x)))))) (/ (sqrt (* (sqrt (+ (exp x) 1)) (exp x))) (/ (cbrt (- (* (exp x) (exp x)) 1)) (sqrt (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 72 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (sqrt 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (130 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (* (exp x) (sqrt (+ (exp x) 1)))) (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1)))) (sqrt 1)) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (sqrt (* (exp x) (sqrt (+ (exp x) 1)))) (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1)))) (sqrt 1)) (/ (sqrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (77 enodes) * * [misc]simplify: iters left: 1 (109 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (sqrt (+ (exp x) 1)) (exp x))) (/ (cbrt (- (* (exp x) (exp x)) 1)) (sqrt (+ (exp x) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (sqrt (* (exp x) (sqrt (+ (exp x) 1)))) (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1)))) (sqrt 1)) (/ (sqrt (* (sqrt (+ (exp x) 1)) (exp x))) (/ (cbrt (- (* (exp x) (exp x)) 1)) (sqrt (+ (exp x) 1)))))) * * * * [misc]progress: [ 73 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (95 enodes) * * [misc]simplify: iters left: 1 (136 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (* (sqrt (+ (exp x) 1)) (exp x))) (* (cbrt (- (* (exp x) (exp x)) 1)) (cbrt (- (* (exp x) (exp x)) 1)))) (sqrt (sqrt (+ (exp x) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (sqrt (* (sqrt (+ (exp x) 1)) (exp x))) (* (cbrt (- (* (exp x) (exp x)) 1)) (cbrt (- (* (exp x) (exp x)) 1)))) (sqrt (sqrt (+ (exp x) 1)))) (/ (sqrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (105 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (sqrt (+ (exp x) 1)) (exp x))) (/ (cbrt (- (* (exp x) (exp x)) 1)) (sqrt (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (sqrt (sqrt (+ 1 (exp x)))))) (/ (sqrt (* (sqrt (+ (exp x) 1)) (exp x))) (/ (cbrt (- (* (exp x) (exp x)) 1)) (sqrt (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 74 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) 1)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (113 enodes) * * [misc]simplify: iters left: 1 (169 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (sqrt (+ (exp x) 1)) (exp x))) (* (cbrt (- (* (exp x) (exp x)) 1)) (cbrt (- (* (exp x) (exp x)) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (* (sqrt (+ (exp x) 1)) (exp x))) (* (cbrt (- (* (exp x) (exp x)) 1)) (cbrt (- (* (exp x) (exp x)) 1)))) (/ (sqrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (77 enodes) * * [misc]simplify: iters left: 1 (109 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (sqrt (+ (exp x) 1)) (exp x))) (/ (cbrt (- (* (exp x) (exp x)) 1)) (sqrt (+ (exp x) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (* (sqrt (+ (exp x) 1)) (exp x))) (* (cbrt (- (* (exp x) (exp x)) 1)) (cbrt (- (* (exp x) (exp x)) 1)))) (/ (sqrt (* (sqrt (+ (exp x) 1)) (exp x))) (/ (cbrt (- (* (exp x) (exp x)) 1)) (sqrt (+ (exp x) 1)))))) * * * * [misc]progress: [ 75 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (98 enodes) * * [misc]simplify: iters left: 1 (132 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (* (sqrt (+ (exp x) 1)) (exp x))) (sqrt (- (* (exp x) (exp x)) 1))) (* (cbrt (sqrt (+ (exp x) 1))) (cbrt (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (sqrt (* (sqrt (+ (exp x) 1)) (exp x))) (sqrt (- (* (exp x) (exp x)) 1))) (* (cbrt (sqrt (+ (exp x) 1))) (cbrt (sqrt (+ (exp x) 1))))) (/ (sqrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (cbrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (cbrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (105 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (sqrt (+ (exp x) 1)) (exp x))) (/ (sqrt (- (* (exp x) (exp x)) 1)) (cbrt (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (sqrt (* (sqrt (+ (exp x) 1)) (exp x))) (sqrt (- (* (exp x) (exp x)) 1))) (* (cbrt (sqrt (+ (exp x) 1))) (cbrt (sqrt (+ (exp x) 1))))) (/ (sqrt (* (sqrt (+ (exp x) 1)) (exp x))) (/ (sqrt (- (* (exp x) (exp x)) 1)) (cbrt (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 76 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (104 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (sqrt (+ (exp x) 1)) (exp x))) (/ (sqrt (- (* (exp x) (exp x)) 1)) (fabs (cbrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (* (sqrt (+ (exp x) 1)) (exp x))) (/ (sqrt (- (* (exp x) (exp x)) 1)) (fabs (cbrt (+ (exp x) 1))))) (/ (sqrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (cbrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (cbrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (102 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (sqrt (+ (exp x) 1)) (exp x))) (/ (sqrt (- (* (exp x) (exp x)) 1)) (sqrt (cbrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (* (sqrt (+ (exp x) 1)) (exp x))) (/ (sqrt (- (* (exp x) (exp x)) 1)) (fabs (cbrt (+ (exp x) 1))))) (/ (sqrt (* (sqrt (+ (exp x) 1)) (exp x))) (/ (sqrt (- (* (exp x) (exp x)) 1)) (sqrt (cbrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 77 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (105 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (sqrt (+ (exp x) 1)) (exp x))) (/ (sqrt (- (* (exp x) (exp x)) 1)) (sqrt (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (* (sqrt (+ (exp x) 1)) (exp x))) (/ (sqrt (- (* (exp x) (exp x)) 1)) (sqrt (sqrt (+ (exp x) 1))))) (/ (sqrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (105 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (sqrt (+ (exp x) 1)) (exp x))) (/ (sqrt (- (* (exp x) (exp x)) 1)) (sqrt (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (* (sqrt (+ (exp x) 1)) (exp x))) (/ (sqrt (- (* (exp x) (exp x)) 1)) (sqrt (sqrt (+ (exp x) 1))))) (/ (sqrt (* (sqrt (+ (exp x) 1)) (exp x))) (/ (sqrt (- (* (exp x) (exp x)) 1)) (sqrt (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 78 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (72 enodes) * * [misc]simplify: iters left: 1 (106 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (sqrt (+ (exp x) 1)) (exp x))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (* (sqrt (+ (exp x) 1)) (exp x))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt 1))) (/ (sqrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (77 enodes) * * [misc]simplify: iters left: 1 (109 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (sqrt (+ (exp x) 1)) (exp x))) (/ (sqrt (- (* (exp x) (exp x)) 1)) (sqrt (+ (exp x) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (* (sqrt (+ (exp x) 1)) (exp x))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt 1))) (/ (sqrt (* (sqrt (+ (exp x) 1)) (exp x))) (/ (sqrt (- (* (exp x) (exp x)) 1)) (sqrt (+ (exp x) 1)))))) * * * * [misc]progress: [ 79 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (105 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (sqrt (+ (exp x) 1)) (exp x))) (/ (sqrt (- (* (exp x) (exp x)) 1)) (sqrt (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (* (sqrt (+ (exp x) 1)) (exp x))) (/ (sqrt (- (* (exp x) (exp x)) 1)) (sqrt (sqrt (+ (exp x) 1))))) (/ (sqrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (105 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (sqrt (+ (exp x) 1)) (exp x))) (/ (sqrt (- (* (exp x) (exp x)) 1)) (sqrt (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (* (sqrt (+ (exp x) 1)) (exp x))) (/ (sqrt (- (* (exp x) (exp x)) 1)) (sqrt (sqrt (+ (exp x) 1))))) (/ (sqrt (* (sqrt (+ (exp x) 1)) (exp x))) (/ (sqrt (- (* (exp x) (exp x)) 1)) (sqrt (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 80 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (111 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (sqrt (+ (exp x) 1)) (exp x))) (sqrt (- (exp (+ x x)) 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (* (sqrt (+ (exp x) 1)) (exp x))) (sqrt (- (exp (+ x x)) 1))) (/ (sqrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (77 enodes) * * [misc]simplify: iters left: 1 (109 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (sqrt (+ (exp x) 1)) (exp x))) (/ (sqrt (- (* (exp x) (exp x)) 1)) (sqrt (+ (exp x) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (* (sqrt (+ (exp x) 1)) (exp x))) (sqrt (- (exp (+ x x)) 1))) (/ (sqrt (* (sqrt (+ (exp x) 1)) (exp x))) (/ (sqrt (- (* (exp x) (exp x)) 1)) (sqrt (+ (exp x) 1)))))) * * * * [misc]progress: [ 81 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ 1 (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (88 enodes) * [exit]simplify: Simplified to (* (* (cbrt (sqrt (+ (exp x) 1))) (cbrt (sqrt (+ (exp x) 1)))) (sqrt (* (sqrt (+ (exp x) 1)) (exp x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (* (cbrt (sqrt (+ (exp x) 1))) (cbrt (sqrt (+ (exp x) 1)))) (sqrt (* (sqrt (+ (exp x) 1)) (exp x)))) (/ (sqrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp (+ x x)) 1) (cbrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp (+ x x)) 1) (cbrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (117 enodes) * * [misc]simplify: iters left: 1 (221 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (sqrt (+ (exp x) 1)) (exp x))) (/ (- (* (exp x) (exp x)) 1) (cbrt (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (* (cbrt (sqrt (+ (exp x) 1))) (cbrt (sqrt (+ (exp x) 1)))) (sqrt (* (sqrt (+ (exp x) 1)) (exp x)))) (/ (sqrt (* (sqrt (+ (exp x) 1)) (exp x))) (/ (- (* (exp x) (exp x)) 1) (cbrt (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 82 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ 1 (sqrt (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (62 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (+ (exp x) 1)) (exp x))) (fabs (cbrt (+ (exp x) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (sqrt (* (sqrt (+ (exp x) 1)) (exp x))) (fabs (cbrt (+ (exp x) 1)))) (/ (sqrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp (+ x x)) 1) (sqrt (cbrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp (+ x x)) 1) (sqrt (cbrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (117 enodes) * * [misc]simplify: iters left: 1 (221 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (sqrt (+ (exp x) 1)) (exp x))) (/ (- (* (exp x) (exp x)) 1) (sqrt (cbrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt (* (sqrt (+ (exp x) 1)) (exp x))) (fabs (cbrt (+ (exp x) 1)))) (/ (sqrt (* (sqrt (+ (exp x) 1)) (exp x))) (/ (- (* (exp x) (exp x)) 1) (sqrt (cbrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 83 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ 1 (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (63 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ (exp x) 1))) (sqrt (* (sqrt (+ (exp x) 1)) (exp x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (sqrt (sqrt (+ (exp x) 1))) (sqrt (* (sqrt (+ (exp x) 1)) (exp x)))) (/ (sqrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp (+ x x)) 1) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp (+ x x)) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (117 enodes) * * [misc]simplify: iters left: 1 (221 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (sqrt (+ (exp x) 1)) (exp x))) (/ (- (* (exp x) (exp x)) 1) (sqrt (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt (sqrt (+ (exp x) 1))) (sqrt (* (sqrt (+ (exp x) 1)) (exp x)))) (/ (sqrt (* (sqrt (+ (exp x) 1)) (exp x))) (/ (- (* (exp x) (exp x)) 1) (sqrt (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 84 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ 1 (sqrt 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (59 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (+ (exp x) 1)) (exp x))) (sqrt 1)) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (sqrt (* (sqrt (+ (exp x) 1)) (exp x))) (sqrt 1)) (/ (sqrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (139 enodes) * * [misc]simplify: iters left: 1 (253 enodes) * [exit]simplify: Simplified to (* (sqrt (* (exp x) (sqrt (+ (exp x) 1)))) (/ (sqrt (+ (exp x) 1)) (- (exp (+ x x)) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt (* (sqrt (+ (exp x) 1)) (exp x))) (sqrt 1)) (* (sqrt (* (exp x) (sqrt (+ (exp x) 1)))) (/ (sqrt (+ (exp x) 1)) (- (exp (+ x x)) 1))))) * * * * [misc]progress: [ 85 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ 1 (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (63 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ (exp x) 1))) (sqrt (* (sqrt (+ (exp x) 1)) (exp x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (sqrt (sqrt (+ (exp x) 1))) (sqrt (* (sqrt (+ (exp x) 1)) (exp x)))) (/ (sqrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp (+ x x)) 1) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp (+ x x)) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (117 enodes) * * [misc]simplify: iters left: 1 (221 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (sqrt (+ (exp x) 1)) (exp x))) (/ (- (* (exp x) (exp x)) 1) (sqrt (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt (sqrt (+ (exp x) 1))) (sqrt (* (sqrt (+ (exp x) 1)) (exp x)))) (/ (sqrt (* (sqrt (+ (exp x) 1)) (exp x))) (/ (- (* (exp x) (exp x)) 1) (sqrt (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 86 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ 1 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (sqrt (* (sqrt (+ (exp x) 1)) (exp x))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (sqrt (* (sqrt (+ (exp x) 1)) (exp x))) (/ (sqrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (139 enodes) * * [misc]simplify: iters left: 1 (253 enodes) * [exit]simplify: Simplified to (* (sqrt (* (exp x) (sqrt (+ (exp x) 1)))) (/ (sqrt (+ (exp x) 1)) (- (exp (+ x x)) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (sqrt (* (sqrt (+ (exp x) 1)) (exp x))) (* (sqrt (* (exp x) (sqrt (+ (exp x) 1)))) (/ (sqrt (+ (exp x) 1)) (- (exp (+ x x)) 1))))) * * * * [misc]progress: [ 87 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ (+ (exp x) 1) (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (77 enodes) * * [misc]simplify: iters left: 1 (101 enodes) * [exit]simplify: Simplified to (* (* (cbrt (sqrt (+ (exp x) 1))) (cbrt (sqrt (+ (exp x) 1)))) (/ (sqrt (* (sqrt (+ (exp x) 1)) (exp x))) (+ (exp x) 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (* (cbrt (sqrt (+ (exp x) 1))) (cbrt (sqrt (+ (exp x) 1)))) (/ (sqrt (* (sqrt (+ (exp x) 1)) (exp x))) (+ (exp x) 1))) (/ (sqrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp x) 1) (cbrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp x) 1) (cbrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (91 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (sqrt (+ (exp x) 1)) (exp x))) (/ (- (exp x) 1) (cbrt (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (* (cbrt (sqrt (+ (exp x) 1))) (cbrt (sqrt (+ (exp x) 1)))) (/ (sqrt (* (sqrt (+ (exp x) 1)) (exp x))) (+ (exp x) 1))) (/ (sqrt (* (sqrt (+ (exp x) 1)) (exp x))) (/ (- (exp x) 1) (cbrt (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 88 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ (+ (exp x) 1) (sqrt (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (62 enodes) * [exit]simplify: Simplified to (* (/ (fabs (cbrt (+ (exp x) 1))) (+ (exp x) 1)) (sqrt (* (sqrt (+ (exp x) 1)) (exp x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (fabs (cbrt (+ (exp x) 1))) (+ (exp x) 1)) (sqrt (* (sqrt (+ (exp x) 1)) (exp x)))) (/ (sqrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp x) 1) (sqrt (cbrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp x) 1) (sqrt (cbrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (91 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (sqrt (+ (exp x) 1)) (exp x))) (/ (- (exp x) 1) (sqrt (cbrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (fabs (cbrt (+ (exp x) 1))) (+ (exp x) 1)) (sqrt (* (sqrt (+ (exp x) 1)) (exp x)))) (/ (sqrt (* (sqrt (+ (exp x) 1)) (exp x))) (/ (- (exp x) 1) (sqrt (cbrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 89 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ (+ (exp x) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (63 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (+ (exp x) 1)) (exp x))) (/ (sqrt (sqrt (+ (exp x) 1))) (+ (exp x) 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (sqrt (* (sqrt (+ (exp x) 1)) (exp x))) (/ (sqrt (sqrt (+ (exp x) 1))) (+ (exp x) 1))) (/ (sqrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp x) 1) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp x) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (91 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (sqrt (+ (exp x) 1)) (exp x))) (/ (- (exp x) 1) (sqrt (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt (* (sqrt (+ (exp x) 1)) (exp x))) (/ (sqrt (sqrt (+ (exp x) 1))) (+ (exp x) 1))) (/ (sqrt (* (sqrt (+ (exp x) 1)) (exp x))) (/ (- (exp x) 1) (sqrt (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 90 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ (+ (exp x) 1) (sqrt 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (sqrt (+ (exp x) 1)) (exp x))) (/ (+ (exp x) 1) (sqrt 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (* (sqrt (+ (exp x) 1)) (exp x))) (/ (+ (exp x) 1) (sqrt 1))) (/ (sqrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp x) 1) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp x) 1) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: iters left: 1 (119 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (+ (exp x) 1)) (- (exp x) 1)) (sqrt (* (sqrt (+ (exp x) 1)) (exp x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (* (sqrt (+ (exp x) 1)) (exp x))) (/ (+ (exp x) 1) (sqrt 1))) (* (/ (sqrt (+ (exp x) 1)) (- (exp x) 1)) (sqrt (* (sqrt (+ (exp x) 1)) (exp x)))))) * * * * [misc]progress: [ 91 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ (+ (exp x) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (63 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (+ (exp x) 1)) (exp x))) (/ (sqrt (sqrt (+ (exp x) 1))) (+ (exp x) 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (sqrt (* (sqrt (+ (exp x) 1)) (exp x))) (/ (sqrt (sqrt (+ (exp x) 1))) (+ (exp x) 1))) (/ (sqrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp x) 1) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp x) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (91 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (sqrt (+ (exp x) 1)) (exp x))) (/ (- (exp x) 1) (sqrt (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt (* (sqrt (+ (exp x) 1)) (exp x))) (/ (sqrt (sqrt (+ (exp x) 1))) (+ (exp x) 1))) (/ (sqrt (* (sqrt (+ (exp x) 1)) (exp x))) (/ (- (exp x) 1) (sqrt (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 92 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ (+ (exp x) 1) 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (sqrt (+ (exp x) 1)) (exp x))) (+ (exp x) 1)) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (* (sqrt (+ (exp x) 1)) (exp x))) (+ (exp x) 1)) (/ (sqrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp x) 1) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp x) 1) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: iters left: 1 (119 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (+ (exp x) 1)) (- (exp x) 1)) (sqrt (* (sqrt (+ (exp x) 1)) (exp x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (* (sqrt (+ (exp x) 1)) (exp x))) (+ (exp x) 1)) (* (/ (sqrt (+ (exp x) 1)) (- (exp x) 1)) (sqrt (* (sqrt (+ (exp x) 1)) (exp x)))))) * * * * [misc]progress: [ 93 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ (+ (sqrt (exp (+ x x))) 1) (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (77 enodes) * * [misc]simplify: iters left: 1 (85 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (* (sqrt (+ (exp x) 1)) (exp x))) (+ (fabs (exp x)) 1)) (* (cbrt (sqrt (+ (exp x) 1))) (cbrt (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (sqrt (* (sqrt (+ (exp x) 1)) (exp x))) (+ (fabs (exp x)) 1)) (* (cbrt (sqrt (+ (exp x) 1))) (cbrt (sqrt (+ (exp x) 1))))) (/ (sqrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (sqrt (exp (+ x x))) 1) (cbrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (sqrt (exp (+ x x))) 1) (cbrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (exp x) (sqrt (+ (exp x) 1)))) (/ (- (fabs (exp x)) 1) (cbrt (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (sqrt (* (sqrt (+ (exp x) 1)) (exp x))) (+ (fabs (exp x)) 1)) (* (cbrt (sqrt (+ (exp x) 1))) (cbrt (sqrt (+ (exp x) 1))))) (/ (sqrt (* (exp x) (sqrt (+ (exp x) 1)))) (/ (- (fabs (exp x)) 1) (cbrt (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 94 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ (+ (sqrt (exp (+ x x))) 1) (sqrt (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (62 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (sqrt (+ (exp x) 1)) (exp x))) (/ (+ (fabs (exp x)) 1) (fabs (cbrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (* (sqrt (+ (exp x) 1)) (exp x))) (/ (+ (fabs (exp x)) 1) (fabs (cbrt (+ (exp x) 1))))) (/ (sqrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (cbrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (cbrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (exp x) (sqrt (+ (exp x) 1)))) (/ (- (fabs (exp x)) 1) (sqrt (cbrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (* (sqrt (+ (exp x) 1)) (exp x))) (/ (+ (fabs (exp x)) 1) (fabs (cbrt (+ (exp x) 1))))) (/ (sqrt (* (exp x) (sqrt (+ (exp x) 1)))) (/ (- (fabs (exp x)) 1) (sqrt (cbrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 95 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ (+ (sqrt (exp (+ x x))) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (63 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (sqrt (+ (exp x) 1)) (exp x))) (/ (+ (fabs (exp x)) 1) (sqrt (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (* (sqrt (+ (exp x) 1)) (exp x))) (/ (+ (fabs (exp x)) 1) (sqrt (sqrt (+ (exp x) 1))))) (/ (sqrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (exp x) (sqrt (+ (exp x) 1)))) (/ (- (fabs (exp x)) 1) (sqrt (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (* (sqrt (+ (exp x) 1)) (exp x))) (/ (+ (fabs (exp x)) 1) (sqrt (sqrt (+ (exp x) 1))))) (/ (sqrt (* (exp x) (sqrt (+ (exp x) 1)))) (/ (- (fabs (exp x)) 1) (sqrt (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 96 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ (+ (sqrt (exp (+ x x))) 1) (sqrt 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (59 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (sqrt (+ (exp x) 1)) (exp x))) (/ (+ (fabs (exp x)) 1) (sqrt 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (* (sqrt (+ (exp x) 1)) (exp x))) (/ (+ (fabs (exp x)) 1) (sqrt 1))) (/ (sqrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (exp x) (sqrt (+ (exp x) 1)))) (/ (- (fabs (exp x)) 1) (sqrt (+ (exp x) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (* (sqrt (+ (exp x) 1)) (exp x))) (/ (+ (fabs (exp x)) 1) (sqrt 1))) (/ (sqrt (* (exp x) (sqrt (+ (exp x) 1)))) (/ (- (fabs (exp x)) 1) (sqrt (+ (exp x) 1)))))) * * * * [misc]progress: [ 97 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ (+ (sqrt (exp (+ x x))) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (63 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (sqrt (+ (exp x) 1)) (exp x))) (/ (+ (fabs (exp x)) 1) (sqrt (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (* (sqrt (+ (exp x) 1)) (exp x))) (/ (+ (fabs (exp x)) 1) (sqrt (sqrt (+ (exp x) 1))))) (/ (sqrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (exp x) (sqrt (+ (exp x) 1)))) (/ (- (fabs (exp x)) 1) (sqrt (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (* (sqrt (+ (exp x) 1)) (exp x))) (/ (+ (fabs (exp x)) 1) (sqrt (sqrt (+ (exp x) 1))))) (/ (sqrt (* (exp x) (sqrt (+ (exp x) 1)))) (/ (- (fabs (exp x)) 1) (sqrt (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 98 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ (+ (sqrt (exp (+ x x))) 1) 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (sqrt (+ (exp x) 1)) (exp x))) (+ (fabs (exp x)) 1)) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (* (sqrt (+ (exp x) 1)) (exp x))) (+ (fabs (exp x)) 1)) (/ (sqrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (exp x) (sqrt (+ (exp x) 1)))) (/ (- (fabs (exp x)) 1) (sqrt (+ (exp x) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (* (sqrt (+ (exp x) 1)) (exp x))) (+ (fabs (exp x)) 1)) (/ (sqrt (* (exp x) (sqrt (+ (exp x) 1)))) (/ (- (fabs (exp x)) 1) (sqrt (+ (exp x) 1)))))) * * * * [misc]progress: [ 99 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (sqrt (* (exp x) (sqrt (+ (exp x) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (sqrt (* (exp x) (sqrt (+ (exp x) 1)))) (/ (sqrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (139 enodes) * * [misc]simplify: iters left: 1 (253 enodes) * [exit]simplify: Simplified to (* (sqrt (* (exp x) (sqrt (+ (exp x) 1)))) (/ (sqrt (+ (exp x) 1)) (- (exp (+ x x)) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (sqrt (* (exp x) (sqrt (+ (exp x) 1)))) (* (sqrt (* (exp x) (sqrt (+ (exp x) 1)))) (/ (sqrt (+ (exp x) 1)) (- (exp (+ x x)) 1))))) * * * * [misc]progress: [ 100 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (- (exp (+ x x)) 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (111 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (sqrt (+ (exp x) 1)) (exp x))) (* (- (exp x) 1) (+ (exp x) 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (* (sqrt (+ (exp x) 1)) (exp x))) (* (- (exp x) 1) (+ (exp x) 1))) (/ (sqrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ 1 (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ 1 (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * [exit]simplify: Simplified to (* (sqrt (* (exp x) (sqrt (+ (exp x) 1)))) (sqrt (+ (exp x) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (- (exp (+ x x)) 1)) (* (sqrt (* (exp x) (sqrt (+ (exp x) 1)))) (sqrt (+ (exp x) 1))))) * * * * [misc]progress: [ 101 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp (+ x x)) 1) (sqrt (+ (pow 1 3) (pow (exp x) 3))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (161 enodes) * * [misc]simplify: iters left: 1 (294 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (exp x) (sqrt (+ (exp x) 1)))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (pow (exp x) 3))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (* (exp x) (sqrt (+ (exp x) 1)))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (pow (exp x) 3))))) (/ (sqrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (sqrt (+ (* 1 1) (- (* (exp x) (exp x)) (* 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (sqrt (+ (* 1 1) (- (* (exp x) (exp x)) (* 1 (exp x)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (192 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (exp x) (sqrt (+ (exp x) 1)))) (sqrt (- (* (exp x) (exp x)) (- (exp x) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (* (exp x) (sqrt (+ (exp x) 1)))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (pow (exp x) 3))))) (/ (sqrt (* (exp x) (sqrt (+ (exp x) 1)))) (sqrt (- (* (exp x) (exp x)) (- (exp x) 1)))))) * * * * [misc]progress: [ 102 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp (+ x x)) 1) (sqrt (- (* 1 1) (* (exp x) (exp x)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (159 enodes) * * [misc]simplify: iters left: 1 (306 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (sqrt (+ (exp x) 1)) (exp x))) (/ (- (* (exp x) (exp x)) 1) (sqrt (- 1 (* (exp x) (exp x)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (* (sqrt (+ (exp x) 1)) (exp x))) (/ (- (* (exp x) (exp x)) 1) (sqrt (- 1 (* (exp x) (exp x)))))) (/ (sqrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (sqrt (- 1 (exp x)))))) * [enter]simplify: Simplifying (/ (sqrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (sqrt (- 1 (exp x)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (sqrt (+ (exp x) 1)) (exp x))) (sqrt (- 1 (exp x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (* (sqrt (+ (exp x) 1)) (exp x))) (/ (- (* (exp x) (exp x)) 1) (sqrt (- 1 (* (exp x) (exp x)))))) (/ (sqrt (* (sqrt (+ (exp x) 1)) (exp x))) (sqrt (- 1 (exp x)))))) * * * * [misc]progress: [ 103 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (* (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))) (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (153 enodes) * * [misc]simplify: iters left: 2 (281 enodes) * * [misc]simplify: iters left: 1 (379 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (exp x)) (* (cbrt (/ 1 (sqrt (+ 1 (exp x))))) (cbrt (/ (- (* (exp x) (exp x)) 1) (sqrt (+ 1 (exp x))))))) (/ (cbrt (exp x)) (* (cbrt (/ 1 (sqrt (+ 1 (exp x))))) (cbrt (/ (- (* (exp x) (exp x)) 1) (sqrt (+ 1 (exp x)))))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (cbrt (exp x)) (* (cbrt (/ 1 (sqrt (+ 1 (exp x))))) (cbrt (/ (- (* (exp x) (exp x)) 1) (sqrt (+ 1 (exp x))))))) (/ (cbrt (exp x)) (* (cbrt (/ 1 (sqrt (+ 1 (exp x))))) (cbrt (/ (- (* (exp x) (exp x)) 1) (sqrt (+ 1 (exp x)))))))) (/ (/ (cbrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (111 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (exp x)) (cbrt (/ 1 (sqrt (+ 1 (exp x)))))) (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (* (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))) (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))))) (/ (/ (cbrt (exp x)) (cbrt (/ 1 (sqrt (+ 1 (exp x)))))) (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))))) * * * * [misc]progress: [ 104 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (sqrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (157 enodes) * * [misc]simplify: iters left: 1 (215 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (/ (- (* (exp x) (exp x)) 1) (sqrt (+ 1 (exp x)))))) (* (cbrt (/ 1 (sqrt (+ 1 (exp x))))) (cbrt (/ 1 (sqrt (+ 1 (exp x))))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (/ (- (* (exp x) (exp x)) 1) (sqrt (+ 1 (exp x)))))) (* (cbrt (/ 1 (sqrt (+ 1 (exp x))))) (cbrt (/ 1 (sqrt (+ 1 (exp x))))))) (/ (/ (cbrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (sqrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (sqrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (111 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (exp x)) (cbrt (/ 1 (sqrt (+ 1 (exp x)))))) (sqrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (sqrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) (/ (/ (cbrt (exp x)) (cbrt (/ 1 (sqrt (+ 1 (exp x)))))) (sqrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))))) * * * * [misc]progress: [ 105 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (347 enodes) * [exit]simplify: Simplified to (* (* (/ (/ (cbrt (exp x)) (cbrt (- (* (exp x) (exp x)) 1))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (cbrt (sqrt (+ (exp x) 1)))) (* (/ (/ (cbrt (exp x)) (cbrt (- (* (exp x) (exp x)) 1))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (cbrt (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (* (/ (/ (cbrt (exp x)) (cbrt (- (* (exp x) (exp x)) 1))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (cbrt (sqrt (+ (exp x) 1)))) (* (/ (/ (cbrt (exp x)) (cbrt (- (* (exp x) (exp x)) 1))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (cbrt (sqrt (+ (exp x) 1))))) (/ (/ (cbrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (cbrt (- (exp (+ x x)) 1)) (cbrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (cbrt (- (exp (+ x x)) 1)) (cbrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (123 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (sqrt (+ (exp x) 1))) (cbrt (- (exp (+ x x)) 1))) (cbrt (exp x))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))))) (/ (* (/ (cbrt (sqrt (+ (exp x) 1))) (cbrt (- (exp (+ x x)) 1))) (cbrt (exp x))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 106 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (sqrt (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (233 enodes) * [exit]simplify: Simplified to (/ (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (cbrt (- (* (exp x) (exp x)) 1))) (/ (cbrt (- (* (exp x) (exp x)) 1)) (fabs (cbrt (+ (exp x) 1))))) (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (cbrt (- (* (exp x) (exp x)) 1))) (/ (cbrt (- (* (exp x) (exp x)) 1)) (fabs (cbrt (+ (exp x) 1))))) (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (/ (cbrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (cbrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (cbrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (123 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt (cbrt (+ (exp x) 1))) (cbrt (- (exp (+ x x)) 1))) (cbrt (exp x))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (cbrt (- (* (exp x) (exp x)) 1))) (/ (cbrt (- (* (exp x) (exp x)) 1)) (fabs (cbrt (+ (exp x) 1))))) (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (* (/ (sqrt (cbrt (+ (exp x) 1))) (cbrt (- (exp (+ x x)) 1))) (cbrt (exp x))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 107 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (233 enodes) * [exit]simplify: Simplified to (* (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (cbrt (- (* (exp x) (exp x)) 1))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (/ (sqrt (sqrt (+ (exp x) 1))) (cbrt (- (* (exp x) (exp x)) 1))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (cbrt (- (* (exp x) (exp x)) 1))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (/ (sqrt (sqrt (+ (exp x) 1))) (cbrt (- (* (exp x) (exp x)) 1))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (/ (cbrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (123 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt (sqrt (+ (exp x) 1))) (cbrt (- (exp (+ x x)) 1))) (cbrt (exp x))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (sqrt (sqrt (+ 1 (exp x)))))) (/ (* (/ (sqrt (sqrt (+ (exp x) 1))) (cbrt (- (exp (+ x x)) 1))) (cbrt (exp x))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 108 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (sqrt 1))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (230 enodes) * [exit]simplify: Simplified to (/ (* (/ (* (cbrt (exp x)) (cbrt (exp x))) (cbrt (- (* (exp x) (exp x)) 1))) (/ (sqrt 1) (cbrt (- (* (exp x) (exp x)) 1)))) (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (/ (* (cbrt (exp x)) (cbrt (exp x))) (cbrt (- (* (exp x) (exp x)) 1))) (/ (sqrt 1) (cbrt (- (* (exp x) (exp x)) 1)))) (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (/ (cbrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (145 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (exp x)) (sqrt (+ 1 (exp x)))) (cbrt (- (exp (+ x x)) 1))) (cbrt (/ 1 (sqrt (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (sqrt 1))) (/ (/ (* (cbrt (exp x)) (sqrt (+ 1 (exp x)))) (cbrt (- (exp (+ x x)) 1))) (cbrt (/ 1 (sqrt (+ 1 (exp x)))))))) * * * * [misc]progress: [ 109 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (233 enodes) * [exit]simplify: Simplified to (* (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (cbrt (- (* (exp x) (exp x)) 1))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (/ (sqrt (sqrt (+ (exp x) 1))) (cbrt (- (* (exp x) (exp x)) 1))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (cbrt (- (* (exp x) (exp x)) 1))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (/ (sqrt (sqrt (+ (exp x) 1))) (cbrt (- (* (exp x) (exp x)) 1))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (/ (cbrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (123 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt (sqrt (+ (exp x) 1))) (cbrt (- (exp (+ x x)) 1))) (cbrt (exp x))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (sqrt (sqrt (+ 1 (exp x)))))) (/ (* (/ (sqrt (sqrt (+ (exp x) 1))) (cbrt (- (exp (+ x x)) 1))) (cbrt (exp x))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 110 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) 1)) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (179 enodes) * [exit]simplify: Simplified to (* (/ (/ (cbrt (exp x)) (cbrt (- (* (exp x) (exp x)) 1))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (/ (cbrt (exp x)) (cbrt (- (* (exp x) (exp x)) 1))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (/ (cbrt (exp x)) (cbrt (- (* (exp x) (exp x)) 1))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (/ (cbrt (exp x)) (cbrt (- (* (exp x) (exp x)) 1))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (/ (cbrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (145 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (exp x)) (sqrt (+ 1 (exp x)))) (cbrt (- (exp (+ x x)) 1))) (cbrt (/ 1 (sqrt (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) 1)) (/ (/ (* (cbrt (exp x)) (sqrt (+ 1 (exp x)))) (cbrt (- (exp (+ x x)) 1))) (cbrt (/ 1 (sqrt (+ 1 (exp x)))))))) * * * * [misc]progress: [ 111 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (sqrt (- (exp (+ x x)) 1)) (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (203 enodes) * [exit]simplify: Simplified to (/ (/ (* (* (cbrt (exp x)) (cbrt (exp x))) (cbrt (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (* (/ (sqrt (- (* (exp x) (exp x)) 1)) (cbrt (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (* (* (cbrt (exp x)) (cbrt (exp x))) (cbrt (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (* (/ (sqrt (- (* (exp x) (exp x)) 1)) (cbrt (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (/ (cbrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (cbrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (cbrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (123 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (sqrt (+ (exp x) 1))) (sqrt (- (exp (+ x x)) 1))) (cbrt (exp x))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (sqrt (- (exp (+ x x)) 1)) (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))))) (/ (* (/ (cbrt (sqrt (+ (exp x) 1))) (sqrt (- (exp (+ x x)) 1))) (cbrt (exp x))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 112 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (155 enodes) * * [misc]simplify: iters left: 2 (369 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (exp x)) (fabs (cbrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (* (/ (sqrt (- (* (exp x) (exp x)) 1)) (cbrt (exp x))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (* (cbrt (exp x)) (fabs (cbrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (* (/ (sqrt (- (* (exp x) (exp x)) 1)) (cbrt (exp x))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (/ (cbrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (cbrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (cbrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (123 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt (cbrt (+ (exp x) 1))) (sqrt (- (exp (+ x x)) 1))) (cbrt (exp x))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (* (cbrt (exp x)) (fabs (cbrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (* (/ (sqrt (- (* (exp x) (exp x)) 1)) (cbrt (exp x))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (* (/ (sqrt (cbrt (+ (exp x) 1))) (sqrt (- (exp (+ x x)) 1))) (cbrt (exp x))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 113 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (155 enodes) * * [misc]simplify: iters left: 2 (376 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (/ (sqrt (- (* (exp x) (exp x)) 1)) (sqrt (sqrt (+ (exp x) 1))))) (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (/ (sqrt (- (* (exp x) (exp x)) 1)) (sqrt (sqrt (+ (exp x) 1))))) (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (/ (cbrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (123 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt (sqrt (+ (exp x) 1))) (sqrt (- (exp (+ x x)) 1))) (cbrt (exp x))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))) (/ (* (/ (sqrt (sqrt (+ (exp x) 1))) (sqrt (- (exp (+ x x)) 1))) (cbrt (exp x))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 114 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt 1))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (152 enodes) * * [misc]simplify: iters left: 2 (367 enodes) * [exit]simplify: Simplified to (* (/ (/ (cbrt (exp x)) (sqrt (- (* (exp x) (exp x)) 1))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (* (sqrt 1) (cbrt (exp x))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (/ (cbrt (exp x)) (sqrt (- (* (exp x) (exp x)) 1))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (* (sqrt 1) (cbrt (exp x))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (/ (cbrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (145 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (exp x)) (sqrt (+ 1 (exp x)))) (sqrt (- (exp (+ x x)) 1))) (cbrt (/ 1 (sqrt (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt 1))) (/ (/ (* (cbrt (exp x)) (sqrt (+ 1 (exp x)))) (sqrt (- (exp (+ x x)) 1))) (cbrt (/ 1 (sqrt (+ 1 (exp x)))))))) * * * * [misc]progress: [ 115 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (155 enodes) * * [misc]simplify: iters left: 2 (376 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (/ (sqrt (- (* (exp x) (exp x)) 1)) (sqrt (sqrt (+ (exp x) 1))))) (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (/ (sqrt (- (* (exp x) (exp x)) 1)) (sqrt (sqrt (+ (exp x) 1))))) (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (/ (cbrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (123 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt (sqrt (+ (exp x) 1))) (sqrt (- (exp (+ x x)) 1))) (cbrt (exp x))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))) (/ (* (/ (sqrt (sqrt (+ (exp x) 1))) (sqrt (- (exp (+ x x)) 1))) (cbrt (exp x))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 116 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (sqrt (- (exp (+ x x)) 1)) 1)) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (122 enodes) * * [misc]simplify: iters left: 2 (349 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (/ (sqrt (- (* (exp x) (exp x)) 1)) (cbrt (exp x))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (cbrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (/ (sqrt (- (* (exp x) (exp x)) 1)) (cbrt (exp x))))) (/ (/ (cbrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (145 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (exp x)) (sqrt (+ 1 (exp x)))) (sqrt (- (exp (+ x x)) 1))) (cbrt (/ 1 (sqrt (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (cbrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (/ (sqrt (- (* (exp x) (exp x)) 1)) (cbrt (exp x))))) (/ (/ (* (cbrt (exp x)) (sqrt (+ 1 (exp x)))) (sqrt (- (exp (+ x x)) 1))) (cbrt (/ 1 (sqrt (+ 1 (exp x)))))))) * * * * [misc]progress: [ 117 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ 1 (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (226 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (* (cbrt (sqrt (+ (exp x) 1))) (cbrt (sqrt (+ (exp x) 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (* (cbrt (sqrt (+ (exp x) 1))) (cbrt (sqrt (+ (exp x) 1)))))) (/ (/ (cbrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp (+ x x)) 1) (cbrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp (+ x x)) 1) (cbrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (170 enodes) * * [misc]simplify: iters left: 1 (369 enodes) * [exit]simplify: Simplified to (/ (* (/ (/ (cbrt (exp x)) (+ 1 (exp x))) (- (exp x) 1)) (cbrt (sqrt (+ 1 (exp x))))) (cbrt (/ 1 (sqrt (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (* (cbrt (sqrt (+ (exp x) 1))) (cbrt (sqrt (+ (exp x) 1)))))) (/ (* (/ (/ (cbrt (exp x)) (+ 1 (exp x))) (- (exp x) 1)) (cbrt (sqrt (+ 1 (exp x))))) (cbrt (/ 1 (sqrt (+ 1 (exp x)))))))) * * * * [misc]progress: [ 118 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ 1 (sqrt (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (168 enodes) * [exit]simplify: Simplified to (* (/ (* (cbrt (exp x)) (cbrt (exp x))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (fabs (cbrt (+ (exp x) 1))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (* (cbrt (exp x)) (cbrt (exp x))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (fabs (cbrt (+ (exp x) 1))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (/ (cbrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp (+ x x)) 1) (sqrt (cbrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp (+ x x)) 1) (sqrt (cbrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (170 enodes) * * [misc]simplify: iters left: 1 (369 enodes) * [exit]simplify: Simplified to (/ (* (/ (/ (cbrt (exp x)) (+ 1 (exp x))) (- (exp x) 1)) (sqrt (cbrt (+ 1 (exp x))))) (cbrt (/ 1 (sqrt (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (* (cbrt (exp x)) (cbrt (exp x))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (fabs (cbrt (+ (exp x) 1))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (* (/ (/ (cbrt (exp x)) (+ 1 (exp x))) (- (exp x) 1)) (sqrt (cbrt (+ 1 (exp x))))) (cbrt (/ 1 (sqrt (+ 1 (exp x)))))))) * * * * [misc]progress: [ 119 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ 1 (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (166 enodes) * [exit]simplify: Simplified to (* (/ (* (cbrt (exp x)) (cbrt (exp x))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (sqrt (+ (exp x) 1))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (* (cbrt (exp x)) (cbrt (exp x))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (sqrt (+ (exp x) 1))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (/ (cbrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp (+ x x)) 1) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp (+ x x)) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (170 enodes) * * [misc]simplify: iters left: 1 (369 enodes) * [exit]simplify: Simplified to (/ (* (/ (/ (cbrt (exp x)) (+ 1 (exp x))) (- (exp x) 1)) (sqrt (sqrt (+ 1 (exp x))))) (cbrt (/ 1 (sqrt (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (* (cbrt (exp x)) (cbrt (exp x))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (sqrt (+ (exp x) 1))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (* (/ (/ (cbrt (exp x)) (+ 1 (exp x))) (- (exp x) 1)) (sqrt (sqrt (+ 1 (exp x))))) (cbrt (/ 1 (sqrt (+ 1 (exp x)))))))) * * * * [misc]progress: [ 120 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ 1 (sqrt 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (165 enodes) * [exit]simplify: Simplified to (* (/ (* (cbrt (exp x)) (cbrt (exp x))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt 1) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (* (cbrt (exp x)) (cbrt (exp x))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt 1) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (/ (cbrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (202 enodes) * * [misc]simplify: iters left: 1 (448 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (exp x)) (- (exp x) 1)) (/ (sqrt (+ (exp x) 1)) (+ (exp x) 1))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (* (cbrt (exp x)) (cbrt (exp x))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt 1) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (* (/ (cbrt (exp x)) (- (exp x) 1)) (/ (sqrt (+ (exp x) 1)) (+ (exp x) 1))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 121 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ 1 (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (166 enodes) * [exit]simplify: Simplified to (* (/ (* (cbrt (exp x)) (cbrt (exp x))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (sqrt (+ (exp x) 1))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (* (cbrt (exp x)) (cbrt (exp x))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (sqrt (+ (exp x) 1))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (/ (cbrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp (+ x x)) 1) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp (+ x x)) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (170 enodes) * * [misc]simplify: iters left: 1 (369 enodes) * [exit]simplify: Simplified to (/ (* (/ (/ (cbrt (exp x)) (+ 1 (exp x))) (- (exp x) 1)) (sqrt (sqrt (+ 1 (exp x))))) (cbrt (/ 1 (sqrt (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (* (cbrt (exp x)) (cbrt (exp x))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (sqrt (+ (exp x) 1))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (* (/ (/ (cbrt (exp x)) (+ 1 (exp x))) (- (exp x) 1)) (sqrt (sqrt (+ 1 (exp x))))) (cbrt (/ 1 (sqrt (+ 1 (exp x)))))))) * * * * [misc]progress: [ 122 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ 1 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (258 enodes) * * [misc]simplify: iters left: 1 (491 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (cbrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (cbrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (cbrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (/ (cbrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (202 enodes) * * [misc]simplify: iters left: 1 (448 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (exp x)) (- (exp x) 1)) (/ (sqrt (+ (exp x) 1)) (+ (exp x) 1))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (cbrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (cbrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (* (/ (cbrt (exp x)) (- (exp x) 1)) (/ (sqrt (+ (exp x) 1)) (+ (exp x) 1))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 123 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (+ (exp x) 1) (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (189 enodes) * [exit]simplify: Simplified to (* (/ (* (/ (* (cbrt (exp x)) (cbrt (exp x))) (+ (exp x) 1)) (cbrt (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (cbrt (sqrt (+ (exp x) 1))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (* (/ (* (cbrt (exp x)) (cbrt (exp x))) (+ (exp x) 1)) (cbrt (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (cbrt (sqrt (+ (exp x) 1))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (/ (cbrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp x) 1) (cbrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp x) 1) (cbrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (123 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (exp x)) (- (exp x) 1)) (cbrt (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (+ (exp x) 1) (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))))) (/ (* (/ (cbrt (exp x)) (- (exp x) 1)) (cbrt (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 124 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (+ (exp x) 1) (sqrt (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (145 enodes) * * [misc]simplify: iters left: 2 (377 enodes) * [exit]simplify: Simplified to (* (/ (/ (cbrt (exp x)) (+ (exp x) 1)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (* (cbrt (exp x)) (fabs (cbrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (/ (cbrt (exp x)) (+ (exp x) 1)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (* (cbrt (exp x)) (fabs (cbrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (/ (cbrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp x) 1) (sqrt (cbrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp x) 1) (sqrt (cbrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (123 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (exp x)) (- (exp x) 1)) (sqrt (cbrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (/ (cbrt (exp x)) (+ (exp x) 1)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (* (cbrt (exp x)) (fabs (cbrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (* (/ (cbrt (exp x)) (- (exp x) 1)) (sqrt (cbrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 125 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (+ (exp x) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (141 enodes) * * [misc]simplify: iters left: 2 (365 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (/ (+ (exp x) 1) (sqrt (sqrt (+ (exp x) 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (/ (+ (exp x) 1) (sqrt (sqrt (+ (exp x) 1)))))) (/ (/ (cbrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp x) 1) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp x) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (123 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (exp x)) (- (exp x) 1)) (sqrt (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (+ (exp x) 1) (sqrt (sqrt (+ 1 (exp x)))))) (/ (* (/ (cbrt (exp x)) (- (exp x) 1)) (sqrt (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 126 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (+ (exp x) 1) (sqrt 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (142 enodes) * * [misc]simplify: iters left: 2 (372 enodes) * [exit]simplify: Simplified to (* (/ (sqrt 1) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (+ (exp x) 1)) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (sqrt 1) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (+ (exp x) 1)) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (/ (cbrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp x) 1) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp x) 1) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (111 enodes) * * [misc]simplify: iters left: 1 (162 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (exp x)) (- (exp x) 1)) (sqrt (+ (exp x) 1))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (+ (exp x) 1) (sqrt 1))) (/ (* (/ (cbrt (exp x)) (- (exp x) 1)) (sqrt (+ (exp x) 1))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 127 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (+ (exp x) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (141 enodes) * * [misc]simplify: iters left: 2 (365 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (/ (+ (exp x) 1) (sqrt (sqrt (+ (exp x) 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (/ (+ (exp x) 1) (sqrt (sqrt (+ (exp x) 1)))))) (/ (/ (cbrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp x) 1) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp x) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (123 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (exp x)) (- (exp x) 1)) (sqrt (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (+ (exp x) 1) (sqrt (sqrt (+ 1 (exp x)))))) (/ (* (/ (cbrt (exp x)) (- (exp x) 1)) (sqrt (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 128 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (+ (exp x) 1) 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (352 enodes) * [exit]simplify: Simplified to (* (/ (/ (cbrt (exp x)) (+ (exp x) 1)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (cbrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (/ (cbrt (exp x)) (+ (exp x) 1)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (cbrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (/ (cbrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp x) 1) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp x) 1) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (111 enodes) * * [misc]simplify: iters left: 1 (162 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (exp x)) (- (exp x) 1)) (sqrt (+ (exp x) 1))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (/ (cbrt (exp x)) (+ (exp x) 1)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (cbrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (* (/ (cbrt (exp x)) (- (exp x) 1)) (sqrt (+ (exp x) 1))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 129 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (+ (sqrt (exp (+ x x))) 1) (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (198 enodes) * [exit]simplify: Simplified to (/ (* (* (cbrt (sqrt (+ (exp x) 1))) (cbrt (sqrt (+ (exp x) 1)))) (/ (* (cbrt (exp x)) (cbrt (exp x))) (+ 1 (fabs (exp x))))) (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (* (cbrt (sqrt (+ (exp x) 1))) (cbrt (sqrt (+ (exp x) 1)))) (/ (* (cbrt (exp x)) (cbrt (exp x))) (+ 1 (fabs (exp x))))) (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (/ (cbrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (sqrt (exp (+ x x))) 1) (cbrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (sqrt (exp (+ x x))) 1) (cbrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (130 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (exp x)) (- (fabs (exp x)) 1)) (cbrt (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (* (cbrt (sqrt (+ (exp x) 1))) (cbrt (sqrt (+ (exp x) 1)))) (/ (* (cbrt (exp x)) (cbrt (exp x))) (+ 1 (fabs (exp x))))) (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (* (/ (cbrt (exp x)) (- (fabs (exp x)) 1)) (cbrt (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 130 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (+ (sqrt (exp (+ x x))) 1) (sqrt (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (152 enodes) * * [misc]simplify: iters left: 2 (384 enodes) * [exit]simplify: Simplified to (/ (* (* (cbrt (exp x)) (cbrt (exp x))) (/ (fabs (cbrt (+ (exp x) 1))) (+ 1 (fabs (exp x))))) (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (* (cbrt (exp x)) (cbrt (exp x))) (/ (fabs (cbrt (+ (exp x) 1))) (+ 1 (fabs (exp x))))) (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (/ (cbrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (cbrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (cbrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (130 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (exp x)) (- (fabs (exp x)) 1)) (sqrt (cbrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (* (cbrt (exp x)) (cbrt (exp x))) (/ (fabs (cbrt (+ (exp x) 1))) (+ 1 (fabs (exp x))))) (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (* (/ (cbrt (exp x)) (- (fabs (exp x)) 1)) (sqrt (cbrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 131 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (+ (sqrt (exp (+ x x))) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (148 enodes) * * [misc]simplify: iters left: 2 (371 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (/ (+ 1 (fabs (exp x))) (sqrt (sqrt (+ (exp x) 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (/ (+ 1 (fabs (exp x))) (sqrt (sqrt (+ (exp x) 1)))))) (/ (/ (cbrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (130 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (exp x)) (- (fabs (exp x)) 1)) (sqrt (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (/ (+ 1 (fabs (exp x))) (sqrt (sqrt (+ (exp x) 1)))))) (/ (* (/ (cbrt (exp x)) (- (fabs (exp x)) 1)) (sqrt (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 132 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (+ (sqrt (exp (+ x x))) 1) (sqrt 1))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (147 enodes) * * [misc]simplify: iters left: 2 (371 enodes) * [exit]simplify: Simplified to (/ (/ (* (sqrt 1) (* (cbrt (exp x)) (cbrt (exp x)))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (* (+ 1 (fabs (exp x))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (* (sqrt 1) (* (cbrt (exp x)) (cbrt (exp x)))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (* (+ 1 (fabs (exp x))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (/ (cbrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (113 enodes) * * [misc]simplify: iters left: 1 (163 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt (+ (exp x) 1)) (- (fabs (exp x)) 1)) (cbrt (exp x))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (* (sqrt 1) (* (cbrt (exp x)) (cbrt (exp x)))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (* (+ 1 (fabs (exp x))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (* (/ (sqrt (+ (exp x) 1)) (- (fabs (exp x)) 1)) (cbrt (exp x))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 133 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (+ (sqrt (exp (+ x x))) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (148 enodes) * * [misc]simplify: iters left: 2 (371 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (/ (+ 1 (fabs (exp x))) (sqrt (sqrt (+ (exp x) 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (/ (+ 1 (fabs (exp x))) (sqrt (sqrt (+ (exp x) 1)))))) (/ (/ (cbrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (130 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (exp x)) (- (fabs (exp x)) 1)) (sqrt (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (/ (+ 1 (fabs (exp x))) (sqrt (sqrt (+ (exp x) 1)))))) (/ (* (/ (cbrt (exp x)) (- (fabs (exp x)) 1)) (sqrt (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 134 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (+ (sqrt (exp (+ x x))) 1) 1)) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (122 enodes) * * [misc]simplify: iters left: 2 (361 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (/ (cbrt (exp x)) (+ 1 (fabs (exp x)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (cbrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (/ (cbrt (exp x)) (+ 1 (fabs (exp x)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (/ (cbrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (113 enodes) * * [misc]simplify: iters left: 1 (163 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt (+ (exp x) 1)) (- (fabs (exp x)) 1)) (cbrt (exp x))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (cbrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (/ (cbrt (exp x)) (+ 1 (fabs (exp x)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (* (/ (sqrt (+ (exp x) 1)) (- (fabs (exp x)) 1)) (cbrt (exp x))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 135 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (281 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (cbrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (cbrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (cbrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (/ (cbrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (202 enodes) * * [misc]simplify: iters left: 1 (448 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (exp x)) (- (exp x) 1)) (/ (sqrt (+ (exp x) 1)) (+ (exp x) 1))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (cbrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (cbrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (* (/ (cbrt (exp x)) (- (exp x) 1)) (/ (sqrt (+ (exp x) 1)) (+ (exp x) 1))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 136 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (- (exp (+ x x)) 1)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (116 enodes) * * [misc]simplify: iters left: 2 (296 enodes) * [exit]simplify: Simplified to (/ (/ (/ (cbrt (exp x)) (- (* (exp x) (exp x)) 1)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (exp x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (/ (cbrt (exp x)) (- (* (exp x) (exp x)) 1)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (exp x)))) (/ (/ (cbrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ 1 (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ 1 (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (91 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (exp x)) (sqrt (+ (exp x) 1))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (- (exp (+ x x)) 1)) (/ (* (cbrt (exp x)) (sqrt (+ (exp x) 1))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 137 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (- (exp (+ x x)) 1) (sqrt (+ (pow 1 3) (pow (exp x) 3))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (88 enodes) * * [misc]simplify: iters left: 3 (207 enodes) * [exit]simplify: Simplified to (/ (/ (* (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (+ 1 (pow (exp x) 3)))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (* (- (* (exp x) (exp x)) 1) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (* (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (+ 1 (pow (exp x) 3)))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (* (- (* (exp x) (exp x)) 1) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (/ (cbrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (sqrt (+ (* 1 1) (- (* (exp x) (exp x)) (* 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (sqrt (+ (* 1 1) (- (* (exp x) (exp x)) (* 1 (exp x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (100 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (exp x)) (sqrt (+ (- 1 (exp x)) (* (exp x) (exp x))))) (cbrt (/ 1 (sqrt (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (* (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (+ 1 (pow (exp x) 3)))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (* (- (* (exp x) (exp x)) 1) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (/ (cbrt (exp x)) (sqrt (+ (- 1 (exp x)) (* (exp x) (exp x))))) (cbrt (/ 1 (sqrt (+ 1 (exp x)))))))) * * * * [misc]progress: [ 138 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (- (exp (+ x x)) 1) (sqrt (- (* 1 1) (* (exp x) (exp x)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (204 enodes) * [exit]simplify: Simplified to (* (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (- (* (exp x) (exp x)) 1)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (- 1 (* (exp x) (exp x)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (- (* (exp x) (exp x)) 1)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (- 1 (* (exp x) (exp x)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (/ (cbrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (sqrt (- 1 (exp x)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (sqrt (- 1 (exp x)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (exp x)) (sqrt (- 1 (exp x)))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (- (* (exp x) (exp x)) 1)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (- 1 (* (exp x) (exp x)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (/ (cbrt (exp x)) (sqrt (- 1 (exp x)))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 139 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (* (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))) (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (162 enodes) * * [misc]simplify: iters left: 1 (223 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (/ 1 (sqrt (+ 1 (exp x)))))) (* (cbrt (/ (- (* (exp x) (exp x)) 1) (sqrt (+ 1 (exp x))))) (cbrt (/ (- (* (exp x) (exp x)) 1) (sqrt (+ 1 (exp x))))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (/ 1 (sqrt (+ 1 (exp x)))))) (* (cbrt (/ (- (* (exp x) (exp x)) 1) (sqrt (+ 1 (exp x))))) (cbrt (/ (- (* (exp x) (exp x)) 1) (sqrt (+ 1 (exp x))))))) (/ (/ (cbrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (111 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (exp x)) (sqrt (/ 1 (sqrt (+ 1 (exp x)))))) (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (* (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))) (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))))) (/ (/ (cbrt (exp x)) (sqrt (/ 1 (sqrt (+ 1 (exp x)))))) (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))))) * * * * [misc]progress: [ 140 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (sqrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (144 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (/ (- (* (exp x) (exp x)) 1) (sqrt (+ (exp x) 1))))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (/ (- (* (exp x) (exp x)) 1) (sqrt (+ (exp x) 1))))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (/ (cbrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (sqrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (sqrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (111 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (exp x)) (sqrt (/ 1 (sqrt (+ 1 (exp x)))))) (sqrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (sqrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) (/ (/ (cbrt (exp x)) (sqrt (/ 1 (sqrt (+ 1 (exp x)))))) (sqrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))))) * * * * [misc]progress: [ 141 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (231 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (exp x)) (cbrt (- (* (exp x) (exp x)) 1))) (* (cbrt (sqrt (+ (exp x) 1))) (cbrt (sqrt (+ (exp x) 1))))) (/ (sqrt (/ 1 (sqrt (+ (exp x) 1)))) (/ (cbrt (exp x)) (cbrt (- (* (exp x) (exp x)) 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (/ (cbrt (exp x)) (cbrt (- (* (exp x) (exp x)) 1))) (* (cbrt (sqrt (+ (exp x) 1))) (cbrt (sqrt (+ (exp x) 1))))) (/ (sqrt (/ 1 (sqrt (+ (exp x) 1)))) (/ (cbrt (exp x)) (cbrt (- (* (exp x) (exp x)) 1))))) (/ (/ (cbrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (cbrt (- (exp (+ x x)) 1)) (cbrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (cbrt (- (exp (+ x x)) 1)) (cbrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (123 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (sqrt (+ (exp x) 1))) (cbrt (- (exp (+ x x)) 1))) (cbrt (exp x))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))))) (/ (* (/ (cbrt (sqrt (+ (exp x) 1))) (cbrt (- (exp (+ x x)) 1))) (cbrt (exp x))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 142 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (sqrt (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (150 enodes) * * [misc]simplify: iters left: 2 (396 enodes) * [exit]simplify: Simplified to (* (/ (fabs (cbrt (+ (exp x) 1))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (* (/ (cbrt (exp x)) (cbrt (- (* (exp x) (exp x)) 1))) (/ (cbrt (exp x)) (cbrt (- (* (exp x) (exp x)) 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (fabs (cbrt (+ (exp x) 1))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (* (/ (cbrt (exp x)) (cbrt (- (* (exp x) (exp x)) 1))) (/ (cbrt (exp x)) (cbrt (- (* (exp x) (exp x)) 1))))) (/ (/ (cbrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (cbrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (cbrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (123 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt (cbrt (+ (exp x) 1))) (cbrt (- (exp (+ x x)) 1))) (cbrt (exp x))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (fabs (cbrt (+ (exp x) 1))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (* (/ (cbrt (exp x)) (cbrt (- (* (exp x) (exp x)) 1))) (/ (cbrt (exp x)) (cbrt (- (* (exp x) (exp x)) 1))))) (/ (* (/ (sqrt (cbrt (+ (exp x) 1))) (cbrt (- (exp (+ x x)) 1))) (cbrt (exp x))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 143 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (148 enodes) * * [misc]simplify: iters left: 2 (395 enodes) * [exit]simplify: Simplified to (* (* (/ (cbrt (exp x)) (cbrt (- (* (exp x) (exp x)) 1))) (sqrt (sqrt (+ (exp x) 1)))) (/ (/ (cbrt (exp x)) (cbrt (- (* (exp x) (exp x)) 1))) (sqrt (/ 1 (sqrt (+ (exp x) 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (* (/ (cbrt (exp x)) (cbrt (- (* (exp x) (exp x)) 1))) (sqrt (sqrt (+ (exp x) 1)))) (/ (/ (cbrt (exp x)) (cbrt (- (* (exp x) (exp x)) 1))) (sqrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (/ (cbrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (123 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt (sqrt (+ (exp x) 1))) (cbrt (- (exp (+ x x)) 1))) (cbrt (exp x))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (sqrt (sqrt (+ 1 (exp x)))))) (/ (* (/ (sqrt (sqrt (+ (exp x) 1))) (cbrt (- (exp (+ x x)) 1))) (cbrt (exp x))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 144 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (sqrt 1))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (147 enodes) * * [misc]simplify: iters left: 2 (394 enodes) * [exit]simplify: Simplified to (* (/ (sqrt 1) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (* (/ (cbrt (exp x)) (cbrt (- (* (exp x) (exp x)) 1))) (/ (cbrt (exp x)) (cbrt (- (* (exp x) (exp x)) 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (sqrt 1) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (* (/ (cbrt (exp x)) (cbrt (- (* (exp x) (exp x)) 1))) (/ (cbrt (exp x)) (cbrt (- (* (exp x) (exp x)) 1))))) (/ (/ (cbrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (145 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (exp x)) (sqrt (+ 1 (exp x)))) (cbrt (- (exp (+ x x)) 1))) (sqrt (/ 1 (sqrt (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (sqrt 1))) (/ (/ (* (cbrt (exp x)) (sqrt (+ 1 (exp x)))) (cbrt (- (exp (+ x x)) 1))) (sqrt (/ 1 (sqrt (+ 1 (exp x)))))))) * * * * [misc]progress: [ 145 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (148 enodes) * * [misc]simplify: iters left: 2 (395 enodes) * [exit]simplify: Simplified to (* (* (/ (cbrt (exp x)) (cbrt (- (* (exp x) (exp x)) 1))) (sqrt (sqrt (+ (exp x) 1)))) (/ (/ (cbrt (exp x)) (cbrt (- (* (exp x) (exp x)) 1))) (sqrt (/ 1 (sqrt (+ (exp x) 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (* (/ (cbrt (exp x)) (cbrt (- (* (exp x) (exp x)) 1))) (sqrt (sqrt (+ (exp x) 1)))) (/ (/ (cbrt (exp x)) (cbrt (- (* (exp x) (exp x)) 1))) (sqrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (/ (cbrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (123 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt (sqrt (+ (exp x) 1))) (cbrt (- (exp (+ x x)) 1))) (cbrt (exp x))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (sqrt (sqrt (+ 1 (exp x)))))) (/ (* (/ (sqrt (sqrt (+ (exp x) 1))) (cbrt (- (exp (+ x x)) 1))) (cbrt (exp x))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 146 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) 1)) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (121 enodes) * * [misc]simplify: iters left: 2 (352 enodes) * [exit]simplify: Simplified to (* (/ (/ (cbrt (exp x)) (cbrt (- (* (exp x) (exp x)) 1))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (cbrt (exp x)) (cbrt (- (* (exp x) (exp x)) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (/ (cbrt (exp x)) (cbrt (- (* (exp x) (exp x)) 1))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (cbrt (exp x)) (cbrt (- (* (exp x) (exp x)) 1)))) (/ (/ (cbrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (145 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (exp x)) (sqrt (+ 1 (exp x)))) (cbrt (- (exp (+ x x)) 1))) (sqrt (/ 1 (sqrt (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) 1)) (/ (/ (* (cbrt (exp x)) (sqrt (+ 1 (exp x)))) (cbrt (- (exp (+ x x)) 1))) (sqrt (/ 1 (sqrt (+ 1 (exp x)))))))) * * * * [misc]progress: [ 147 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (132 enodes) * * [misc]simplify: iters left: 2 (330 enodes) * [exit]simplify: Simplified to (/ (* (* (cbrt (exp x)) (cbrt (sqrt (+ (exp x) 1)))) (* (cbrt (exp x)) (cbrt (sqrt (+ (exp x) 1))))) (* (sqrt (- (* (exp x) (exp x)) 1)) (sqrt (/ 1 (sqrt (+ (exp x) 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (* (cbrt (exp x)) (cbrt (sqrt (+ (exp x) 1)))) (* (cbrt (exp x)) (cbrt (sqrt (+ (exp x) 1))))) (* (sqrt (- (* (exp x) (exp x)) 1)) (sqrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (/ (cbrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (cbrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (cbrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (123 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (sqrt (+ (exp x) 1))) (sqrt (- (exp (+ x x)) 1))) (cbrt (exp x))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))))) (/ (* (/ (cbrt (sqrt (+ (exp x) 1))) (sqrt (- (exp (+ x x)) 1))) (cbrt (exp x))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 148 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (193 enodes) * * [misc]simplify: iters left: 1 (319 enodes) * [exit]simplify: Simplified to (/ (fabs (cbrt (+ 1 (exp x)))) (* (sqrt (/ 1 (sqrt (+ 1 (exp x))))) (/ (sqrt (- (* (exp x) (exp x)) 1)) (* (cbrt (exp x)) (cbrt (exp x)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (fabs (cbrt (+ 1 (exp x)))) (* (sqrt (/ 1 (sqrt (+ 1 (exp x))))) (/ (sqrt (- (* (exp x) (exp x)) 1)) (* (cbrt (exp x)) (cbrt (exp x)))))) (/ (/ (cbrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (cbrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (cbrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (123 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt (cbrt (+ (exp x) 1))) (sqrt (- (exp (+ x x)) 1))) (cbrt (exp x))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (fabs (cbrt (+ 1 (exp x)))) (* (sqrt (/ 1 (sqrt (+ 1 (exp x))))) (/ (sqrt (- (* (exp x) (exp x)) 1)) (* (cbrt (exp x)) (cbrt (exp x)))))) (/ (* (/ (sqrt (cbrt (+ (exp x) 1))) (sqrt (- (exp (+ x x)) 1))) (cbrt (exp x))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 149 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * * [misc]simplify: iters left: 2 (191 enodes) * * [misc]simplify: iters left: 1 (323 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (/ 1 (sqrt (+ 1 (exp x)))))) (/ (sqrt (- (* (exp x) (exp x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (/ 1 (sqrt (+ 1 (exp x)))))) (/ (sqrt (- (* (exp x) (exp x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))) (/ (/ (cbrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (123 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt (sqrt (+ (exp x) 1))) (sqrt (- (exp (+ x x)) 1))) (cbrt (exp x))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))) (/ (* (/ (sqrt (sqrt (+ (exp x) 1))) (sqrt (- (exp (+ x x)) 1))) (cbrt (exp x))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 150 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt 1))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (190 enodes) * * [misc]simplify: iters left: 1 (324 enodes) * [exit]simplify: Simplified to (/ (/ (* (sqrt 1) (* (cbrt (exp x)) (cbrt (exp x)))) (sqrt (- (* (exp x) (exp x)) 1))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (* (sqrt 1) (* (cbrt (exp x)) (cbrt (exp x)))) (sqrt (- (* (exp x) (exp x)) 1))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (/ (cbrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (145 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (exp x)) (sqrt (+ 1 (exp x)))) (sqrt (- (exp (+ x x)) 1))) (sqrt (/ 1 (sqrt (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt 1))) (/ (/ (* (cbrt (exp x)) (sqrt (+ 1 (exp x)))) (sqrt (- (exp (+ x x)) 1))) (sqrt (/ 1 (sqrt (+ 1 (exp x)))))))) * * * * [misc]progress: [ 151 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * * [misc]simplify: iters left: 2 (191 enodes) * * [misc]simplify: iters left: 1 (323 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (/ 1 (sqrt (+ 1 (exp x)))))) (/ (sqrt (- (* (exp x) (exp x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (/ 1 (sqrt (+ 1 (exp x)))))) (/ (sqrt (- (* (exp x) (exp x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))) (/ (/ (cbrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (123 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt (sqrt (+ (exp x) 1))) (sqrt (- (exp (+ x x)) 1))) (cbrt (exp x))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))) (/ (* (/ (sqrt (sqrt (+ (exp x) 1))) (sqrt (- (exp (+ x x)) 1))) (cbrt (exp x))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 152 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) 1)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (190 enodes) * * [misc]simplify: iters left: 1 (460 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (- (* (exp x) (exp x)) 1))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (- (* (exp x) (exp x)) 1))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (/ (cbrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (145 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (exp x)) (sqrt (+ 1 (exp x)))) (sqrt (- (exp (+ x x)) 1))) (sqrt (/ 1 (sqrt (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (- (* (exp x) (exp x)) 1))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (/ (* (cbrt (exp x)) (sqrt (+ 1 (exp x)))) (sqrt (- (exp (+ x x)) 1))) (sqrt (/ 1 (sqrt (+ 1 (exp x)))))))) * * * * [misc]progress: [ 153 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ 1 (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (136 enodes) * * [misc]simplify: iters left: 2 (407 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (exp x)) (cbrt (sqrt (+ (exp x) 1)))) (/ (sqrt (/ 1 (sqrt (+ (exp x) 1)))) (* (cbrt (exp x)) (cbrt (sqrt (+ (exp x) 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (cbrt (exp x)) (cbrt (sqrt (+ (exp x) 1)))) (/ (sqrt (/ 1 (sqrt (+ (exp x) 1)))) (* (cbrt (exp x)) (cbrt (sqrt (+ (exp x) 1)))))) (/ (/ (cbrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp (+ x x)) 1) (cbrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp (+ x x)) 1) (cbrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (170 enodes) * * [misc]simplify: iters left: 1 (369 enodes) * [exit]simplify: Simplified to (/ (* (/ (/ (cbrt (exp x)) (+ 1 (exp x))) (- (exp x) 1)) (cbrt (sqrt (+ 1 (exp x))))) (sqrt (/ 1 (sqrt (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (cbrt (exp x)) (cbrt (sqrt (+ (exp x) 1)))) (/ (sqrt (/ 1 (sqrt (+ (exp x) 1)))) (* (cbrt (exp x)) (cbrt (sqrt (+ (exp x) 1)))))) (/ (* (/ (/ (cbrt (exp x)) (+ 1 (exp x))) (- (exp x) 1)) (cbrt (sqrt (+ 1 (exp x))))) (sqrt (/ 1 (sqrt (+ 1 (exp x)))))))) * * * * [misc]progress: [ 154 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ 1 (sqrt (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (227 enodes) * [exit]simplify: Simplified to (/ (* (fabs (cbrt (+ (exp x) 1))) (* (cbrt (exp x)) (cbrt (exp x)))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (fabs (cbrt (+ (exp x) 1))) (* (cbrt (exp x)) (cbrt (exp x)))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (/ (cbrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp (+ x x)) 1) (sqrt (cbrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp (+ x x)) 1) (sqrt (cbrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (170 enodes) * * [misc]simplify: iters left: 1 (369 enodes) * [exit]simplify: Simplified to (/ (* (/ (/ (cbrt (exp x)) (+ 1 (exp x))) (- (exp x) 1)) (sqrt (cbrt (+ 1 (exp x))))) (sqrt (/ 1 (sqrt (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (fabs (cbrt (+ (exp x) 1))) (* (cbrt (exp x)) (cbrt (exp x)))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (* (/ (/ (cbrt (exp x)) (+ 1 (exp x))) (- (exp x) 1)) (sqrt (cbrt (+ 1 (exp x))))) (sqrt (/ 1 (sqrt (+ 1 (exp x)))))))) * * * * [misc]progress: [ 155 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ 1 (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (224 enodes) * [exit]simplify: Simplified to (/ (* (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (sqrt (+ (exp x) 1)))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (sqrt (+ (exp x) 1)))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (/ (cbrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp (+ x x)) 1) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp (+ x x)) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (170 enodes) * * [misc]simplify: iters left: 1 (369 enodes) * [exit]simplify: Simplified to (/ (* (/ (/ (cbrt (exp x)) (+ 1 (exp x))) (- (exp x) 1)) (sqrt (sqrt (+ 1 (exp x))))) (sqrt (/ 1 (sqrt (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (sqrt (+ (exp x) 1)))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (* (/ (/ (cbrt (exp x)) (+ 1 (exp x))) (- (exp x) 1)) (sqrt (sqrt (+ 1 (exp x))))) (sqrt (/ 1 (sqrt (+ 1 (exp x)))))))) * * * * [misc]progress: [ 156 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ 1 (sqrt 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (225 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (exp x)) (* (sqrt 1) (cbrt (exp x)))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (cbrt (exp x)) (* (sqrt 1) (cbrt (exp x)))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (/ (cbrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (202 enodes) * * [misc]simplify: iters left: 1 (448 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (exp x)) (- (exp x) 1)) (/ (sqrt (+ (exp x) 1)) (+ (exp x) 1))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (cbrt (exp x)) (* (sqrt 1) (cbrt (exp x)))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (* (/ (cbrt (exp x)) (- (exp x) 1)) (/ (sqrt (+ (exp x) 1)) (+ (exp x) 1))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 157 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ 1 (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (224 enodes) * [exit]simplify: Simplified to (/ (* (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (sqrt (+ (exp x) 1)))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (sqrt (+ (exp x) 1)))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (/ (cbrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp (+ x x)) 1) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp (+ x x)) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (170 enodes) * * [misc]simplify: iters left: 1 (369 enodes) * [exit]simplify: Simplified to (/ (* (/ (/ (cbrt (exp x)) (+ 1 (exp x))) (- (exp x) 1)) (sqrt (sqrt (+ 1 (exp x))))) (sqrt (/ 1 (sqrt (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (sqrt (+ (exp x) 1)))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (* (/ (/ (cbrt (exp x)) (+ 1 (exp x))) (- (exp x) 1)) (sqrt (sqrt (+ 1 (exp x))))) (sqrt (/ 1 (sqrt (+ 1 (exp x)))))))) * * * * [misc]progress: [ 158 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ 1 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (144 enodes) * * [misc]simplify: iters left: 1 (279 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (/ (cbrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (202 enodes) * * [misc]simplify: iters left: 1 (448 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (exp x)) (- (exp x) 1)) (/ (sqrt (+ (exp x) 1)) (+ (exp x) 1))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (* (/ (cbrt (exp x)) (- (exp x) 1)) (/ (sqrt (+ (exp x) 1)) (+ (exp x) 1))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 159 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (+ (exp x) 1) (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (142 enodes) * * [misc]simplify: iters left: 2 (384 enodes) * [exit]simplify: Simplified to (/ (* (* (cbrt (exp x)) (cbrt (sqrt (+ (exp x) 1)))) (* (cbrt (exp x)) (cbrt (sqrt (+ (exp x) 1))))) (* (sqrt (/ 1 (sqrt (+ (exp x) 1)))) (+ (exp x) 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (* (cbrt (exp x)) (cbrt (sqrt (+ (exp x) 1)))) (* (cbrt (exp x)) (cbrt (sqrt (+ (exp x) 1))))) (* (sqrt (/ 1 (sqrt (+ (exp x) 1)))) (+ (exp x) 1))) (/ (/ (cbrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp x) 1) (cbrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp x) 1) (cbrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (123 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (exp x)) (- (exp x) 1)) (cbrt (sqrt (+ (exp x) 1)))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (+ (exp x) 1) (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))))) (/ (* (/ (cbrt (exp x)) (- (exp x) 1)) (cbrt (sqrt (+ (exp x) 1)))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 160 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (+ (exp x) 1) (sqrt (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (229 enodes) * [exit]simplify: Simplified to (/ (* (* (cbrt (exp x)) (/ (cbrt (exp x)) (+ (exp x) 1))) (fabs (cbrt (+ (exp x) 1)))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (* (cbrt (exp x)) (/ (cbrt (exp x)) (+ (exp x) 1))) (fabs (cbrt (+ (exp x) 1)))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (/ (cbrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp x) 1) (sqrt (cbrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp x) 1) (sqrt (cbrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (123 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (exp x)) (- (exp x) 1)) (sqrt (cbrt (+ (exp x) 1)))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (* (cbrt (exp x)) (/ (cbrt (exp x)) (+ (exp x) 1))) (fabs (cbrt (+ (exp x) 1)))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (* (/ (cbrt (exp x)) (- (exp x) 1)) (sqrt (cbrt (+ (exp x) 1)))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 161 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (+ (exp x) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (96 enodes) * * [misc]simplify: iters left: 2 (223 enodes) * [exit]simplify: Simplified to (/ (* (* (cbrt (exp x)) (/ (cbrt (exp x)) (+ (exp x) 1))) (sqrt (sqrt (+ (exp x) 1)))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (* (cbrt (exp x)) (/ (cbrt (exp x)) (+ (exp x) 1))) (sqrt (sqrt (+ (exp x) 1)))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (/ (cbrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp x) 1) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp x) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (123 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (exp x)) (- (exp x) 1)) (sqrt (sqrt (+ (exp x) 1)))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (+ (exp x) 1) (sqrt (sqrt (+ 1 (exp x)))))) (/ (* (/ (cbrt (exp x)) (- (exp x) 1)) (sqrt (sqrt (+ (exp x) 1)))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 162 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (+ (exp x) 1) (sqrt 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (179 enodes) * * [misc]simplify: iters left: 1 (451 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (exp x)) (+ (exp x) 1)) (* (cbrt (exp x)) (sqrt 1))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (/ (cbrt (exp x)) (+ (exp x) 1)) (* (cbrt (exp x)) (sqrt 1))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (/ (cbrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp x) 1) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp x) 1) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (111 enodes) * * [misc]simplify: iters left: 1 (162 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (exp x)) (- (exp x) 1)) (sqrt (+ (exp x) 1))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (+ (exp x) 1) (sqrt 1))) (/ (* (/ (cbrt (exp x)) (- (exp x) 1)) (sqrt (+ (exp x) 1))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 163 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (+ (exp x) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (96 enodes) * * [misc]simplify: iters left: 2 (223 enodes) * [exit]simplify: Simplified to (/ (* (* (cbrt (exp x)) (/ (cbrt (exp x)) (+ (exp x) 1))) (sqrt (sqrt (+ (exp x) 1)))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (* (cbrt (exp x)) (/ (cbrt (exp x)) (+ (exp x) 1))) (sqrt (sqrt (+ (exp x) 1)))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (/ (cbrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp x) 1) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp x) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (123 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (exp x)) (- (exp x) 1)) (sqrt (sqrt (+ (exp x) 1)))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (+ (exp x) 1) (sqrt (sqrt (+ 1 (exp x)))))) (/ (* (/ (cbrt (exp x)) (- (exp x) 1)) (sqrt (sqrt (+ (exp x) 1)))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 164 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (+ (exp x) 1) 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (151 enodes) * * [misc]simplify: iters left: 1 (480 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (exp x)) (/ (cbrt (exp x)) (+ 1 (exp x)))) (sqrt (/ 1 (sqrt (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (cbrt (exp x)) (/ (cbrt (exp x)) (+ 1 (exp x)))) (sqrt (/ 1 (sqrt (+ 1 (exp x)))))) (/ (/ (cbrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp x) 1) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp x) 1) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (111 enodes) * * [misc]simplify: iters left: 1 (162 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (exp x)) (- (exp x) 1)) (sqrt (+ (exp x) 1))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (cbrt (exp x)) (/ (cbrt (exp x)) (+ 1 (exp x)))) (sqrt (/ 1 (sqrt (+ 1 (exp x)))))) (/ (* (/ (cbrt (exp x)) (- (exp x) 1)) (sqrt (+ (exp x) 1))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 165 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (+ (sqrt (exp (+ x x))) 1) (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (127 enodes) * * [misc]simplify: iters left: 2 (326 enodes) * [exit]simplify: Simplified to (/ (* (* (cbrt (exp x)) (cbrt (sqrt (+ (exp x) 1)))) (* (cbrt (exp x)) (cbrt (sqrt (+ (exp x) 1))))) (* (+ (fabs (exp x)) 1) (sqrt (/ 1 (sqrt (+ (exp x) 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (* (cbrt (exp x)) (cbrt (sqrt (+ (exp x) 1)))) (* (cbrt (exp x)) (cbrt (sqrt (+ (exp x) 1))))) (* (+ (fabs (exp x)) 1) (sqrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (/ (cbrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (sqrt (exp (+ x x))) 1) (cbrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (sqrt (exp (+ x x))) 1) (cbrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (130 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (exp x)) (- (fabs (exp x)) 1)) (cbrt (sqrt (+ (exp x) 1)))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (* (cbrt (exp x)) (cbrt (sqrt (+ (exp x) 1)))) (* (cbrt (exp x)) (cbrt (sqrt (+ (exp x) 1))))) (* (+ (fabs (exp x)) 1) (sqrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (* (/ (cbrt (exp x)) (- (fabs (exp x)) 1)) (cbrt (sqrt (+ (exp x) 1)))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 166 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (+ (sqrt (exp (+ x x))) 1) (sqrt (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (189 enodes) * * [misc]simplify: iters left: 1 (442 enodes) * [exit]simplify: Simplified to (/ (/ (fabs (cbrt (+ (exp x) 1))) (/ (+ (fabs (exp x)) 1) (* (cbrt (exp x)) (cbrt (exp x))))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (fabs (cbrt (+ (exp x) 1))) (/ (+ (fabs (exp x)) 1) (* (cbrt (exp x)) (cbrt (exp x))))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (/ (cbrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (cbrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (cbrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (130 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (exp x)) (- (fabs (exp x)) 1)) (sqrt (cbrt (+ (exp x) 1)))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (fabs (cbrt (+ (exp x) 1))) (/ (+ (fabs (exp x)) 1) (* (cbrt (exp x)) (cbrt (exp x))))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (* (/ (cbrt (exp x)) (- (fabs (exp x)) 1)) (sqrt (cbrt (+ (exp x) 1)))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 167 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (+ (sqrt (exp (+ x x))) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (187 enodes) * * [misc]simplify: iters left: 1 (455 enodes) * [exit]simplify: Simplified to (/ (* (/ (* (cbrt (exp x)) (cbrt (exp x))) (+ (fabs (exp x)) 1)) (sqrt (sqrt (+ (exp x) 1)))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (/ (* (cbrt (exp x)) (cbrt (exp x))) (+ (fabs (exp x)) 1)) (sqrt (sqrt (+ (exp x) 1)))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (/ (cbrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (130 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (exp x)) (- (fabs (exp x)) 1)) (sqrt (sqrt (+ (exp x) 1)))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (/ (* (cbrt (exp x)) (cbrt (exp x))) (+ (fabs (exp x)) 1)) (sqrt (sqrt (+ (exp x) 1)))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (* (/ (cbrt (exp x)) (- (fabs (exp x)) 1)) (sqrt (sqrt (+ (exp x) 1)))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 168 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (+ (sqrt (exp (+ x x))) 1) (sqrt 1))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (186 enodes) * * [misc]simplify: iters left: 1 (445 enodes) * [exit]simplify: Simplified to (/ (/ (* (sqrt 1) (* (cbrt (exp x)) (cbrt (exp x)))) (+ (fabs (exp x)) 1)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (* (sqrt 1) (* (cbrt (exp x)) (cbrt (exp x)))) (+ (fabs (exp x)) 1)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (/ (cbrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (113 enodes) * * [misc]simplify: iters left: 1 (163 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt (+ (exp x) 1)) (- (fabs (exp x)) 1)) (cbrt (exp x))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (* (sqrt 1) (* (cbrt (exp x)) (cbrt (exp x)))) (+ (fabs (exp x)) 1)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (* (/ (sqrt (+ (exp x) 1)) (- (fabs (exp x)) 1)) (cbrt (exp x))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 169 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (+ (sqrt (exp (+ x x))) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (187 enodes) * * [misc]simplify: iters left: 1 (455 enodes) * [exit]simplify: Simplified to (/ (* (/ (* (cbrt (exp x)) (cbrt (exp x))) (+ (fabs (exp x)) 1)) (sqrt (sqrt (+ (exp x) 1)))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (/ (* (cbrt (exp x)) (cbrt (exp x))) (+ (fabs (exp x)) 1)) (sqrt (sqrt (+ (exp x) 1)))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (/ (cbrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (130 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (exp x)) (- (fabs (exp x)) 1)) (sqrt (sqrt (+ (exp x) 1)))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (/ (* (cbrt (exp x)) (cbrt (exp x))) (+ (fabs (exp x)) 1)) (sqrt (sqrt (+ (exp x) 1)))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (* (/ (cbrt (exp x)) (- (fabs (exp x)) 1)) (sqrt (sqrt (+ (exp x) 1)))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 170 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (+ (sqrt (exp (+ x x))) 1) 1)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (155 enodes) * * [misc]simplify: iters left: 1 (450 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (+ (fabs (exp x)) 1)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (+ (fabs (exp x)) 1)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (/ (cbrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (113 enodes) * * [misc]simplify: iters left: 1 (163 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt (+ (exp x) 1)) (- (fabs (exp x)) 1)) (cbrt (exp x))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (+ (fabs (exp x)) 1)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (* (/ (sqrt (+ (exp x) 1)) (- (fabs (exp x)) 1)) (cbrt (exp x))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 171 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (144 enodes) * * [misc]simplify: iters left: 1 (296 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (/ (cbrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (202 enodes) * * [misc]simplify: iters left: 1 (448 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (exp x)) (- (exp x) 1)) (/ (sqrt (+ (exp x) 1)) (+ (exp x) 1))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (* (/ (cbrt (exp x)) (- (exp x) 1)) (/ (sqrt (+ (exp x) 1)) (+ (exp x) 1))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 172 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (- (exp (+ x x)) 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (173 enodes) * * [misc]simplify: iters left: 1 (498 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (- (* (exp x) (exp x)) 1)) (sqrt (/ 1 (sqrt (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (- (* (exp x) (exp x)) 1)) (sqrt (/ 1 (sqrt (+ 1 (exp x)))))) (/ (/ (cbrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ 1 (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ 1 (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (91 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (exp x)) (sqrt (+ (exp x) 1))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (- (exp (+ x x)) 1)) (/ (* (cbrt (exp x)) (sqrt (+ (exp x) 1))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 173 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp (+ x x)) 1) (sqrt (+ (pow 1 3) (pow (exp x) 3))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (137 enodes) * * [misc]simplify: iters left: 2 (379 enodes) * [exit]simplify: Simplified to (/ (* (/ (* (cbrt (exp x)) (cbrt (exp x))) (- (* (exp x) (exp x)) 1)) (sqrt (+ 1 (pow (exp x) 3)))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (/ (* (cbrt (exp x)) (cbrt (exp x))) (- (* (exp x) (exp x)) 1)) (sqrt (+ 1 (pow (exp x) 3)))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (/ (cbrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (sqrt (+ (* 1 1) (- (* (exp x) (exp x)) (* 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (sqrt (+ (* 1 1) (- (* (exp x) (exp x)) (* 1 (exp x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (100 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (exp x)) (sqrt (+ (- 1 (exp x)) (* (exp x) (exp x))))) (sqrt (/ 1 (sqrt (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (/ (* (cbrt (exp x)) (cbrt (exp x))) (- (* (exp x) (exp x)) 1)) (sqrt (+ 1 (pow (exp x) 3)))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (/ (cbrt (exp x)) (sqrt (+ (- 1 (exp x)) (* (exp x) (exp x))))) (sqrt (/ 1 (sqrt (+ 1 (exp x)))))))) * * * * [misc]progress: [ 174 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp (+ x x)) 1) (sqrt (- (* 1 1) (* (exp x) (exp x)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (132 enodes) * * [misc]simplify: iters left: 2 (374 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- 1 (* (exp x) (exp x)))) (/ (- (* (exp x) (exp x)) 1) (* (cbrt (exp x)) (cbrt (exp x))))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (sqrt (- 1 (* (exp x) (exp x)))) (/ (- (* (exp x) (exp x)) 1) (* (cbrt (exp x)) (cbrt (exp x))))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (/ (cbrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (sqrt (- 1 (exp x)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (sqrt (- 1 (exp x)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (exp x)) (sqrt (- 1 (exp x)))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (- 1 (* (exp x) (exp x)))) (/ (- (* (exp x) (exp x)) 1) (* (cbrt (exp x)) (cbrt (exp x))))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (/ (cbrt (exp x)) (sqrt (- 1 (exp x)))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 175 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) 1) (* (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))) (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (112 enodes) * * [misc]simplify: iters left: 2 (254 enodes) * * [misc]simplify: iters left: 1 (331 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (exp x)) (cbrt (/ (- (* (exp x) (exp x)) 1) (sqrt (+ 1 (exp x)))))) (/ (cbrt (exp x)) (cbrt (/ (- (* (exp x) (exp x)) 1) (sqrt (+ 1 (exp x))))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (cbrt (exp x)) (cbrt (/ (- (* (exp x) (exp x)) 1) (sqrt (+ 1 (exp x)))))) (/ (cbrt (exp x)) (cbrt (/ (- (* (exp x) (exp x)) 1) (sqrt (+ 1 (exp x))))))) (/ (/ (cbrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (137 enodes) * * [misc]simplify: iters left: 1 (224 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (exp x)) (sqrt (+ 1 (exp x)))) (cbrt (/ (- (* (exp x) (exp x)) 1) (sqrt (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) 1) (* (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))) (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))))) (/ (* (cbrt (exp x)) (sqrt (+ 1 (exp x)))) (cbrt (/ (- (* (exp x) (exp x)) 1) (sqrt (+ 1 (exp x)))))))) * * * * [misc]progress: [ 176 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) 1) (sqrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (177 enodes) * * [misc]simplify: iters left: 1 (218 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (/ (- (* (exp x) (exp x)) 1) (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (/ (- (* (exp x) (exp x)) 1) (sqrt (+ (exp x) 1))))) (/ (/ (cbrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (sqrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (sqrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (137 enodes) * * [misc]simplify: iters left: 1 (224 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (exp x)) (sqrt (+ 1 (exp x)))) (sqrt (/ (- (* (exp x) (exp x)) 1) (sqrt (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (/ (- (* (exp x) (exp x)) 1) (sqrt (+ (exp x) 1))))) (/ (* (cbrt (exp x)) (sqrt (+ 1 (exp x)))) (sqrt (/ (- (* (exp x) (exp x)) 1) (sqrt (+ 1 (exp x)))))))) * * * * [misc]progress: [ 177 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) 1) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (88 enodes) * * [misc]simplify: iters left: 3 (271 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (exp x)) (/ (cbrt (- (* (exp x) (exp x)) 1)) (cbrt (sqrt (+ (exp x) 1))))) (/ (cbrt (exp x)) (/ (cbrt (- (* (exp x) (exp x)) 1)) (cbrt (sqrt (+ (exp x) 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (cbrt (exp x)) (/ (cbrt (- (* (exp x) (exp x)) 1)) (cbrt (sqrt (+ (exp x) 1))))) (/ (cbrt (exp x)) (/ (cbrt (- (* (exp x) (exp x)) 1)) (cbrt (sqrt (+ (exp x) 1)))))) (/ (/ (cbrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (cbrt (- (exp (+ x x)) 1)) (cbrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (cbrt (- (exp (+ x x)) 1)) (cbrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (200 enodes) * * [misc]simplify: iters left: 1 (478 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (exp x)) (sqrt (+ (exp x) 1))) (/ (cbrt (- (* (exp x) (exp x)) 1)) (cbrt (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) 1) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))))) (/ (* (cbrt (exp x)) (sqrt (+ (exp x) 1))) (/ (cbrt (- (* (exp x) (exp x)) 1)) (cbrt (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 178 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) 1) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (sqrt (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (151 enodes) * * [misc]simplify: iters left: 2 (398 enodes) * [exit]simplify: Simplified to (/ (* (fabs (cbrt (+ (exp x) 1))) (* (cbrt (exp x)) (cbrt (exp x)))) (* (cbrt (- (* (exp x) (exp x)) 1)) (cbrt (- (* (exp x) (exp x)) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (fabs (cbrt (+ (exp x) 1))) (* (cbrt (exp x)) (cbrt (exp x)))) (* (cbrt (- (* (exp x) (exp x)) 1)) (cbrt (- (* (exp x) (exp x)) 1)))) (/ (/ (cbrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (cbrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (cbrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (236 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (exp x)) (cbrt (- (* (exp x) (exp x)) 1))) (* (sqrt (cbrt (+ (exp x) 1))) (sqrt (+ (exp x) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (fabs (cbrt (+ (exp x) 1))) (* (cbrt (exp x)) (cbrt (exp x)))) (* (cbrt (- (* (exp x) (exp x)) 1)) (cbrt (- (* (exp x) (exp x)) 1)))) (* (/ (cbrt (exp x)) (cbrt (- (* (exp x) (exp x)) 1))) (* (sqrt (cbrt (+ (exp x) 1))) (sqrt (+ (exp x) 1)))))) * * * * [misc]progress: [ 179 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) 1) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (149 enodes) * * [misc]simplify: iters left: 2 (428 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (cbrt (- (* (exp x) (exp x)) 1))) (/ (cbrt (- (* (exp x) (exp x)) 1)) (sqrt (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (cbrt (- (* (exp x) (exp x)) 1))) (/ (cbrt (- (* (exp x) (exp x)) 1)) (sqrt (sqrt (+ (exp x) 1))))) (/ (/ (cbrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (200 enodes) * * [misc]simplify: iters left: 1 (478 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (exp x)) (sqrt (+ (exp x) 1))) (/ (cbrt (- (* (exp x) (exp x)) 1)) (sqrt (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) 1) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (sqrt (sqrt (+ 1 (exp x)))))) (/ (* (cbrt (exp x)) (sqrt (+ (exp x) 1))) (/ (cbrt (- (* (exp x) (exp x)) 1)) (sqrt (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 180 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) 1) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (sqrt 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (157 enodes) * * [misc]simplify: iters left: 2 (464 enodes) * [exit]simplify: Simplified to (* (/ (* (cbrt (exp x)) (cbrt (exp x))) (cbrt (- (* (exp x) (exp x)) 1))) (/ (sqrt 1) (cbrt (- (* (exp x) (exp x)) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (* (cbrt (exp x)) (cbrt (exp x))) (cbrt (- (* (exp x) (exp x)) 1))) (/ (sqrt 1) (cbrt (- (* (exp x) (exp x)) 1)))) (/ (/ (cbrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (162 enodes) * * [misc]simplify: iters left: 1 (344 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (exp x)) (+ 1 (exp x))) (cbrt (- (* (exp x) (exp x)) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) 1) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (sqrt 1))) (/ (* (cbrt (exp x)) (+ 1 (exp x))) (cbrt (- (* (exp x) (exp x)) 1))))) * * * * [misc]progress: [ 181 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) 1) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (149 enodes) * * [misc]simplify: iters left: 2 (428 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (cbrt (- (* (exp x) (exp x)) 1))) (/ (cbrt (- (* (exp x) (exp x)) 1)) (sqrt (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (cbrt (- (* (exp x) (exp x)) 1))) (/ (cbrt (- (* (exp x) (exp x)) 1)) (sqrt (sqrt (+ (exp x) 1))))) (/ (/ (cbrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (200 enodes) * * [misc]simplify: iters left: 1 (478 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (exp x)) (sqrt (+ (exp x) 1))) (/ (cbrt (- (* (exp x) (exp x)) 1)) (sqrt (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) 1) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (sqrt (sqrt (+ 1 (exp x)))))) (/ (* (cbrt (exp x)) (sqrt (+ (exp x) 1))) (/ (cbrt (- (* (exp x) (exp x)) 1)) (sqrt (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 182 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) 1) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (126 enodes) * * [misc]simplify: iters left: 2 (251 enodes) * * [misc]simplify: iters left: 1 (408 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (exp x)) (cbrt (- (* (exp x) (exp x)) 1))) (/ (cbrt (exp x)) (cbrt (- (* (exp x) (exp x)) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (cbrt (exp x)) (cbrt (- (* (exp x) (exp x)) 1))) (/ (cbrt (exp x)) (cbrt (- (* (exp x) (exp x)) 1)))) (/ (/ (cbrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (162 enodes) * * [misc]simplify: iters left: 1 (344 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (exp x)) (+ 1 (exp x))) (cbrt (- (* (exp x) (exp x)) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (cbrt (exp x)) (cbrt (- (* (exp x) (exp x)) 1))) (/ (cbrt (exp x)) (cbrt (- (* (exp x) (exp x)) 1)))) (/ (* (cbrt (exp x)) (+ 1 (exp x))) (cbrt (- (* (exp x) (exp x)) 1))))) * * * * [misc]progress: [ 183 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) 1) (/ (sqrt (- (exp (+ x x)) 1)) (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (135 enodes) * * [misc]simplify: iters left: 2 (331 enodes) * [exit]simplify: Simplified to (* (/ (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (- (* (exp x) (exp x)) 1))) (* (cbrt (sqrt (+ (exp x) 1))) (cbrt (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (- (* (exp x) (exp x)) 1))) (* (cbrt (sqrt (+ (exp x) 1))) (cbrt (sqrt (+ (exp x) 1))))) (/ (/ (cbrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (sqrt (- (exp (+ x x)) 1)) (cbrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (sqrt (- (exp (+ x x)) 1)) (cbrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (200 enodes) * * [misc]simplify: iters left: 1 (478 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (exp x)) (sqrt (+ (exp x) 1))) (/ (sqrt (- (* (exp x) (exp x)) 1)) (cbrt (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (- (* (exp x) (exp x)) 1))) (* (cbrt (sqrt (+ (exp x) 1))) (cbrt (sqrt (+ (exp x) 1))))) (/ (* (cbrt (exp x)) (sqrt (+ (exp x) 1))) (/ (sqrt (- (* (exp x) (exp x)) 1)) (cbrt (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 184 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) 1) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (236 enodes) * * [misc]simplify: iters left: 1 (349 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (exp x)) (cbrt (exp x))) (/ (sqrt (- (* (exp x) (exp x)) 1)) (fabs (cbrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (cbrt (exp x)) (cbrt (exp x))) (/ (sqrt (- (* (exp x) (exp x)) 1)) (fabs (cbrt (+ (exp x) 1))))) (/ (/ (cbrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (cbrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (cbrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (236 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (exp x)) (sqrt (- (* (exp x) (exp x)) 1))) (* (sqrt (cbrt (+ (exp x) 1))) (sqrt (+ (exp x) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (cbrt (exp x)) (cbrt (exp x))) (/ (sqrt (- (* (exp x) (exp x)) 1)) (fabs (cbrt (+ (exp x) 1))))) (* (/ (cbrt (exp x)) (sqrt (- (* (exp x) (exp x)) 1))) (* (sqrt (cbrt (+ (exp x) 1))) (sqrt (+ (exp x) 1)))))) * * * * [misc]progress: [ 185 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) 1) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (223 enodes) * * [misc]simplify: iters left: 1 (365 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (sqrt (+ (exp x) 1))) (* (cbrt (exp x)) (cbrt (exp x)))) (sqrt (- (* (exp x) (exp x)) 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (sqrt (sqrt (+ (exp x) 1))) (* (cbrt (exp x)) (cbrt (exp x)))) (sqrt (- (* (exp x) (exp x)) 1))) (/ (/ (cbrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (200 enodes) * * [misc]simplify: iters left: 1 (478 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (exp x)) (sqrt (+ (exp x) 1))) (/ (sqrt (- (* (exp x) (exp x)) 1)) (sqrt (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (sqrt (sqrt (+ (exp x) 1))) (* (cbrt (exp x)) (cbrt (exp x)))) (sqrt (- (* (exp x) (exp x)) 1))) (/ (* (cbrt (exp x)) (sqrt (+ (exp x) 1))) (/ (sqrt (- (* (exp x) (exp x)) 1)) (sqrt (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 186 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) 1) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (222 enodes) * * [misc]simplify: iters left: 1 (346 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (exp x)) (* (cbrt (exp x)) (sqrt 1))) (sqrt (- (* (exp x) (exp x)) 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (cbrt (exp x)) (* (cbrt (exp x)) (sqrt 1))) (sqrt (- (* (exp x) (exp x)) 1))) (/ (/ (cbrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (162 enodes) * * [misc]simplify: iters left: 1 (344 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (exp x)) (+ 1 (exp x))) (sqrt (- (* (exp x) (exp x)) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (cbrt (exp x)) (* (cbrt (exp x)) (sqrt 1))) (sqrt (- (* (exp x) (exp x)) 1))) (/ (* (cbrt (exp x)) (+ 1 (exp x))) (sqrt (- (* (exp x) (exp x)) 1))))) * * * * [misc]progress: [ 187 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) 1) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (223 enodes) * * [misc]simplify: iters left: 1 (365 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (sqrt (+ (exp x) 1))) (* (cbrt (exp x)) (cbrt (exp x)))) (sqrt (- (* (exp x) (exp x)) 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (sqrt (sqrt (+ (exp x) 1))) (* (cbrt (exp x)) (cbrt (exp x)))) (sqrt (- (* (exp x) (exp x)) 1))) (/ (/ (cbrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (200 enodes) * * [misc]simplify: iters left: 1 (478 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (exp x)) (sqrt (+ (exp x) 1))) (/ (sqrt (- (* (exp x) (exp x)) 1)) (sqrt (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (sqrt (sqrt (+ (exp x) 1))) (* (cbrt (exp x)) (cbrt (exp x)))) (sqrt (- (* (exp x) (exp x)) 1))) (/ (* (cbrt (exp x)) (sqrt (+ (exp x) 1))) (/ (sqrt (- (* (exp x) (exp x)) 1)) (sqrt (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 188 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) 1) (/ (sqrt (- (exp (+ x x)) 1)) 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (174 enodes) * * [misc]simplify: iters left: 1 (264 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (- (* (exp x) (exp x)) 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (- (* (exp x) (exp x)) 1))) (/ (/ (cbrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (162 enodes) * * [misc]simplify: iters left: 1 (344 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (exp x)) (+ 1 (exp x))) (sqrt (- (* (exp x) (exp x)) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (- (* (exp x) (exp x)) 1))) (/ (* (cbrt (exp x)) (+ 1 (exp x))) (sqrt (- (* (exp x) (exp x)) 1))))) * * * * [misc]progress: [ 189 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) 1) (/ 1 (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (174 enodes) * * [misc]simplify: iters left: 1 (318 enodes) * [exit]simplify: Simplified to (* (* (cbrt (sqrt (+ (exp x) 1))) (cbrt (exp x))) (* (cbrt (sqrt (+ (exp x) 1))) (cbrt (exp x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (* (cbrt (sqrt (+ (exp x) 1))) (cbrt (exp x))) (* (cbrt (sqrt (+ (exp x) 1))) (cbrt (exp x)))) (/ (/ (cbrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp (+ x x)) 1) (cbrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp (+ x x)) 1) (cbrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (139 enodes) * * [misc]simplify: iters left: 2 (380 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (+ (exp x) 1))) (* (cbrt (exp x)) (sqrt (+ (exp x) 1)))) (- (* (exp x) (exp x)) 1)) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (* (cbrt (sqrt (+ (exp x) 1))) (cbrt (exp x))) (* (cbrt (sqrt (+ (exp x) 1))) (cbrt (exp x)))) (/ (* (cbrt (sqrt (+ (exp x) 1))) (* (cbrt (exp x)) (sqrt (+ (exp x) 1)))) (- (* (exp x) (exp x)) 1)))) * * * * [misc]progress: [ 190 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) 1) (/ 1 (sqrt (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (159 enodes) * * [misc]simplify: iters left: 1 (184 enodes) * [exit]simplify: Simplified to (* (fabs (cbrt (+ (exp x) 1))) (* (cbrt (exp x)) (cbrt (exp x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (fabs (cbrt (+ (exp x) 1))) (* (cbrt (exp x)) (cbrt (exp x)))) (/ (/ (cbrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp (+ x x)) 1) (sqrt (cbrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp (+ x x)) 1) (sqrt (cbrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (139 enodes) * * [misc]simplify: iters left: 2 (415 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (exp x)) (+ (exp x) 1)) (* (sqrt (cbrt (+ (exp x) 1))) (/ (sqrt (+ (exp x) 1)) (- (exp x) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (fabs (cbrt (+ (exp x) 1))) (* (cbrt (exp x)) (cbrt (exp x)))) (* (/ (cbrt (exp x)) (+ (exp x) 1)) (* (sqrt (cbrt (+ (exp x) 1))) (/ (sqrt (+ (exp x) 1)) (- (exp x) 1)))))) * * * * [misc]progress: [ 191 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) 1) (/ 1 (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (152 enodes) * * [misc]simplify: iters left: 1 (273 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ (exp x) 1))) (* (cbrt (exp x)) (cbrt (exp x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (sqrt (sqrt (+ (exp x) 1))) (* (cbrt (exp x)) (cbrt (exp x)))) (/ (/ (cbrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp (+ x x)) 1) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp (+ x x)) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (139 enodes) * * [misc]simplify: iters left: 2 (380 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (sqrt (+ (exp x) 1))) (* (cbrt (exp x)) (sqrt (+ (exp x) 1)))) (- (* (exp x) (exp x)) 1)) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt (sqrt (+ (exp x) 1))) (* (cbrt (exp x)) (cbrt (exp x)))) (/ (* (sqrt (sqrt (+ (exp x) 1))) (* (cbrt (exp x)) (sqrt (+ (exp x) 1)))) (- (* (exp x) (exp x)) 1)))) * * * * [misc]progress: [ 192 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) 1) (/ 1 (sqrt 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (148 enodes) * * [misc]simplify: iters left: 1 (227 enodes) * [exit]simplify: Simplified to (* (sqrt 1) (* (cbrt (exp x)) (cbrt (exp x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (sqrt 1) (* (cbrt (exp x)) (cbrt (exp x)))) (/ (/ (cbrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (141 enodes) * * [misc]simplify: iters left: 2 (403 enodes) * [exit]simplify: Simplified to (/ (cbrt (exp x)) (- (exp x) 1)) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt 1) (* (cbrt (exp x)) (cbrt (exp x)))) (/ (cbrt (exp x)) (- (exp x) 1)))) * * * * [misc]progress: [ 193 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) 1) (/ 1 (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (152 enodes) * * [misc]simplify: iters left: 1 (273 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ (exp x) 1))) (* (cbrt (exp x)) (cbrt (exp x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (sqrt (sqrt (+ (exp x) 1))) (* (cbrt (exp x)) (cbrt (exp x)))) (/ (/ (cbrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp (+ x x)) 1) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp (+ x x)) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (139 enodes) * * [misc]simplify: iters left: 2 (380 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (sqrt (+ (exp x) 1))) (* (cbrt (exp x)) (sqrt (+ (exp x) 1)))) (- (* (exp x) (exp x)) 1)) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt (sqrt (+ (exp x) 1))) (* (cbrt (exp x)) (cbrt (exp x)))) (/ (* (sqrt (sqrt (+ (exp x) 1))) (* (cbrt (exp x)) (sqrt (+ (exp x) 1)))) (- (* (exp x) (exp x)) 1)))) * * * * [misc]progress: [ 194 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) 1) (/ 1 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (* (cbrt (exp x)) (cbrt (exp x))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (cbrt (exp x)) (cbrt (exp x))) (/ (/ (cbrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (141 enodes) * * [misc]simplify: iters left: 2 (403 enodes) * [exit]simplify: Simplified to (/ (cbrt (exp x)) (- (exp x) 1)) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (cbrt (exp x)) (cbrt (exp x))) (/ (cbrt (exp x)) (- (exp x) 1)))) * * * * [misc]progress: [ 195 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) 1) (/ (+ (exp x) 1) (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (281 enodes) * [exit]simplify: Simplified to (* (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))) (* (/ (cbrt (exp x)) (+ 1 (exp x))) (cbrt (exp x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))) (* (/ (cbrt (exp x)) (+ 1 (exp x))) (cbrt (exp x)))) (/ (/ (cbrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp x) 1) (cbrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp x) 1) (cbrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (112 enodes) * * [misc]simplify: iters left: 2 (221 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ (exp x) 1))) (* (/ (cbrt (exp x)) (- (exp x) 1)) (sqrt (+ (exp x) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))) (* (/ (cbrt (exp x)) (+ 1 (exp x))) (cbrt (exp x)))) (* (cbrt (sqrt (+ (exp x) 1))) (* (/ (cbrt (exp x)) (- (exp x) 1)) (sqrt (+ (exp x) 1)))))) * * * * [misc]progress: [ 196 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) 1) (/ (+ (exp x) 1) (sqrt (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (204 enodes) * * [misc]simplify: iters left: 1 (309 enodes) * [exit]simplify: Simplified to (/ (fabs (cbrt (+ (exp x) 1))) (/ (/ (+ (exp x) 1) (cbrt (exp x))) (cbrt (exp x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (fabs (cbrt (+ (exp x) 1))) (/ (/ (+ (exp x) 1) (cbrt (exp x))) (cbrt (exp x)))) (/ (/ (cbrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp x) 1) (sqrt (cbrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp x) 1) (sqrt (cbrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (112 enodes) * * [misc]simplify: iters left: 2 (281 enodes) * [exit]simplify: Simplified to (* (* (/ (cbrt (exp x)) (- (exp x) 1)) (sqrt (+ (exp x) 1))) (sqrt (cbrt (+ (exp x) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (fabs (cbrt (+ (exp x) 1))) (/ (/ (+ (exp x) 1) (cbrt (exp x))) (cbrt (exp x)))) (* (* (/ (cbrt (exp x)) (- (exp x) 1)) (sqrt (+ (exp x) 1))) (sqrt (cbrt (+ (exp x) 1)))))) * * * * [misc]progress: [ 197 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) 1) (/ (+ (exp x) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (189 enodes) * * [misc]simplify: iters left: 1 (303 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ (exp x) 1))) (* (/ (cbrt (exp x)) (+ (exp x) 1)) (cbrt (exp x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (sqrt (sqrt (+ (exp x) 1))) (* (/ (cbrt (exp x)) (+ (exp x) 1)) (cbrt (exp x)))) (/ (/ (cbrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp x) 1) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp x) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (112 enodes) * * [misc]simplify: iters left: 2 (221 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ (exp x) 1))) (* (/ (cbrt (exp x)) (- (exp x) 1)) (sqrt (+ (exp x) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt (sqrt (+ (exp x) 1))) (* (/ (cbrt (exp x)) (+ (exp x) 1)) (cbrt (exp x)))) (* (sqrt (sqrt (+ (exp x) 1))) (* (/ (cbrt (exp x)) (- (exp x) 1)) (sqrt (+ (exp x) 1)))))) * * * * [misc]progress: [ 198 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) 1) (/ (+ (exp x) 1) (sqrt 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (213 enodes) * * [misc]simplify: iters left: 1 (373 enodes) * [exit]simplify: Simplified to (* (* (cbrt (exp x)) (cbrt (exp x))) (/ (sqrt 1) (+ 1 (exp x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (* (cbrt (exp x)) (cbrt (exp x))) (/ (sqrt 1) (+ 1 (exp x)))) (/ (/ (cbrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp x) 1) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp x) 1) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (235 enodes) * * [misc]simplify: iters left: 1 (479 enodes) * [exit]simplify: Simplified to (* (cbrt (exp x)) (/ (+ 1 (exp x)) (- (exp x) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (* (cbrt (exp x)) (cbrt (exp x))) (/ (sqrt 1) (+ 1 (exp x)))) (* (cbrt (exp x)) (/ (+ 1 (exp x)) (- (exp x) 1))))) * * * * [misc]progress: [ 199 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) 1) (/ (+ (exp x) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (189 enodes) * * [misc]simplify: iters left: 1 (303 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ (exp x) 1))) (* (/ (cbrt (exp x)) (+ (exp x) 1)) (cbrt (exp x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (sqrt (sqrt (+ (exp x) 1))) (* (/ (cbrt (exp x)) (+ (exp x) 1)) (cbrt (exp x)))) (/ (/ (cbrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp x) 1) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp x) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (112 enodes) * * [misc]simplify: iters left: 2 (221 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ (exp x) 1))) (* (/ (cbrt (exp x)) (- (exp x) 1)) (sqrt (+ (exp x) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt (sqrt (+ (exp x) 1))) (* (/ (cbrt (exp x)) (+ (exp x) 1)) (cbrt (exp x)))) (* (sqrt (sqrt (+ (exp x) 1))) (* (/ (cbrt (exp x)) (- (exp x) 1)) (sqrt (+ (exp x) 1)))))) * * * * [misc]progress: [ 200 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) 1) (/ (+ (exp x) 1) 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (123 enodes) * * [misc]simplify: iters left: 1 (182 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (exp x)) (cbrt (exp x))) (+ (exp x) 1)) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (cbrt (exp x)) (cbrt (exp x))) (+ (exp x) 1)) (/ (/ (cbrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp x) 1) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp x) 1) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (235 enodes) * * [misc]simplify: iters left: 1 (479 enodes) * [exit]simplify: Simplified to (* (cbrt (exp x)) (/ (+ 1 (exp x)) (- (exp x) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (cbrt (exp x)) (cbrt (exp x))) (+ (exp x) 1)) (* (cbrt (exp x)) (/ (+ 1 (exp x)) (- (exp x) 1))))) * * * * [misc]progress: [ 201 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) 1) (/ (+ (sqrt (exp (+ x x))) 1) (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (118 enodes) * * [misc]simplify: iters left: 2 (288 enodes) * [exit]simplify: Simplified to (* (* (cbrt (sqrt (+ (exp x) 1))) (/ (cbrt (exp x)) (+ (fabs (exp x)) 1))) (* (cbrt (sqrt (+ (exp x) 1))) (cbrt (exp x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (* (cbrt (sqrt (+ (exp x) 1))) (/ (cbrt (exp x)) (+ (fabs (exp x)) 1))) (* (cbrt (sqrt (+ (exp x) 1))) (cbrt (exp x)))) (/ (/ (cbrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (sqrt (exp (+ x x))) 1) (cbrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (sqrt (exp (+ x x))) 1) (cbrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (117 enodes) * * [misc]simplify: iters left: 2 (228 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (+ (exp x) 1)) (cbrt (exp x))) (/ (- (fabs (exp x)) 1) (cbrt (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (* (cbrt (sqrt (+ (exp x) 1))) (/ (cbrt (exp x)) (+ (fabs (exp x)) 1))) (* (cbrt (sqrt (+ (exp x) 1))) (cbrt (exp x)))) (/ (* (sqrt (+ (exp x) 1)) (cbrt (exp x))) (/ (- (fabs (exp x)) 1) (cbrt (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 202 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) 1) (/ (+ (sqrt (exp (+ x x))) 1) (sqrt (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * * [misc]simplify: iters left: 2 (214 enodes) * * [misc]simplify: iters left: 1 (301 enodes) * [exit]simplify: Simplified to (* (/ (* (cbrt (exp x)) (cbrt (exp x))) (+ (fabs (exp x)) 1)) (fabs (cbrt (+ (exp x) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (* (cbrt (exp x)) (cbrt (exp x))) (+ (fabs (exp x)) 1)) (fabs (cbrt (+ (exp x) 1)))) (/ (/ (cbrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (cbrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (cbrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (117 enodes) * * [misc]simplify: iters left: 2 (268 enodes) * [exit]simplify: Simplified to (/ (cbrt (exp x)) (/ (/ (- (fabs (exp x)) 1) (sqrt (+ (exp x) 1))) (sqrt (cbrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (* (cbrt (exp x)) (cbrt (exp x))) (+ (fabs (exp x)) 1)) (fabs (cbrt (+ (exp x) 1)))) (/ (cbrt (exp x)) (/ (/ (- (fabs (exp x)) 1) (sqrt (+ (exp x) 1))) (sqrt (cbrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 203 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) 1) (/ (+ (sqrt (exp (+ x x))) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (226 enodes) * * [misc]simplify: iters left: 1 (383 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ (exp x) 1))) (/ (* (cbrt (exp x)) (cbrt (exp x))) (+ (fabs (exp x)) 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (sqrt (sqrt (+ (exp x) 1))) (/ (* (cbrt (exp x)) (cbrt (exp x))) (+ (fabs (exp x)) 1))) (/ (/ (cbrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (117 enodes) * * [misc]simplify: iters left: 2 (228 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (+ (exp x) 1)) (cbrt (exp x))) (/ (- (fabs (exp x)) 1) (sqrt (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt (sqrt (+ (exp x) 1))) (/ (* (cbrt (exp x)) (cbrt (exp x))) (+ (fabs (exp x)) 1))) (/ (* (sqrt (+ (exp x) 1)) (cbrt (exp x))) (/ (- (fabs (exp x)) 1) (sqrt (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 204 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) 1) (/ (+ (sqrt (exp (+ x x))) 1) (sqrt 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (221 enodes) * * [misc]simplify: iters left: 1 (359 enodes) * [exit]simplify: Simplified to (/ (sqrt 1) (/ (+ (fabs (exp x)) 1) (* (cbrt (exp x)) (cbrt (exp x))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt 1) (/ (+ (fabs (exp x)) 1) (* (cbrt (exp x)) (cbrt (exp x))))) (/ (/ (cbrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (121 enodes) * * [misc]simplify: iters left: 2 (247 enodes) * * [misc]simplify: iters left: 1 (492 enodes) * [exit]simplify: Simplified to (/ (* (+ (exp x) 1) (cbrt (exp x))) (- (fabs (exp x)) 1)) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt 1) (/ (+ (fabs (exp x)) 1) (* (cbrt (exp x)) (cbrt (exp x))))) (/ (* (+ (exp x) 1) (cbrt (exp x))) (- (fabs (exp x)) 1)))) * * * * [misc]progress: [ 205 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) 1) (/ (+ (sqrt (exp (+ x x))) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (226 enodes) * * [misc]simplify: iters left: 1 (383 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ (exp x) 1))) (/ (* (cbrt (exp x)) (cbrt (exp x))) (+ (fabs (exp x)) 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (sqrt (sqrt (+ (exp x) 1))) (/ (* (cbrt (exp x)) (cbrt (exp x))) (+ (fabs (exp x)) 1))) (/ (/ (cbrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (117 enodes) * * [misc]simplify: iters left: 2 (228 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (+ (exp x) 1)) (cbrt (exp x))) (/ (- (fabs (exp x)) 1) (sqrt (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt (sqrt (+ (exp x) 1))) (/ (* (cbrt (exp x)) (cbrt (exp x))) (+ (fabs (exp x)) 1))) (/ (* (sqrt (+ (exp x) 1)) (cbrt (exp x))) (/ (- (fabs (exp x)) 1) (sqrt (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 206 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) 1) (/ (+ (sqrt (exp (+ x x))) 1) 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (128 enodes) * * [misc]simplify: iters left: 1 (168 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (exp x)) (cbrt (exp x))) (+ (fabs (exp x)) 1)) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (cbrt (exp x)) (cbrt (exp x))) (+ (fabs (exp x)) 1)) (/ (/ (cbrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (121 enodes) * * [misc]simplify: iters left: 2 (247 enodes) * * [misc]simplify: iters left: 1 (492 enodes) * [exit]simplify: Simplified to (/ (* (+ (exp x) 1) (cbrt (exp x))) (- (fabs (exp x)) 1)) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (cbrt (exp x)) (cbrt (exp x))) (+ (fabs (exp x)) 1)) (/ (* (+ (exp x) 1) (cbrt (exp x))) (- (fabs (exp x)) 1)))) * * * * [misc]progress: [ 207 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) 1) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * [exit]simplify: Simplified to (* (cbrt (exp x)) (cbrt (exp x))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (cbrt (exp x)) (cbrt (exp x))) (/ (/ (cbrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (141 enodes) * * [misc]simplify: iters left: 2 (403 enodes) * [exit]simplify: Simplified to (/ (cbrt (exp x)) (- (exp x) 1)) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (cbrt (exp x)) (cbrt (exp x))) (/ (cbrt (exp x)) (- (exp x) 1)))) * * * * [misc]progress: [ 208 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) 1) (- (exp (+ x x)) 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (168 enodes) * * [misc]simplify: iters left: 1 (298 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (exp x)) (cbrt (exp x))) (- (* (exp x) (exp x)) 1)) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (cbrt (exp x)) (cbrt (exp x))) (- (* (exp x) (exp x)) 1)) (/ (/ (cbrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ 1 (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ 1 (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (95 enodes) * [exit]simplify: Simplified to (* (+ (exp x) 1) (cbrt (exp x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (cbrt (exp x)) (cbrt (exp x))) (- (* (exp x) (exp x)) 1)) (* (+ (exp x) 1) (cbrt (exp x))))) * * * * [misc]progress: [ 209 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) 1) (/ (- (exp (+ x x)) 1) (sqrt (+ (pow 1 3) (pow (exp x) 3))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (142 enodes) * * [misc]simplify: iters left: 2 (406 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (pow (exp x) 3) 1)) (/ (- (* (exp x) (exp x)) 1) (* (cbrt (exp x)) (cbrt (exp x))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (+ (pow (exp x) 3) 1)) (/ (- (* (exp x) (exp x)) 1) (* (cbrt (exp x)) (cbrt (exp x))))) (/ (/ (cbrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (sqrt (+ (* 1 1) (- (* (exp x) (exp x)) (* 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (sqrt (+ (* 1 1) (- (* (exp x) (exp x)) (* 1 (exp x)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (114 enodes) * * [misc]simplify: iters left: 2 (143 enodes) * * [misc]simplify: iters left: 1 (199 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (+ (exp x) 1)) (cbrt (exp x))) (sqrt (- (* (exp x) (exp x)) (- (exp x) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (+ (pow (exp x) 3) 1)) (/ (- (* (exp x) (exp x)) 1) (* (cbrt (exp x)) (cbrt (exp x))))) (/ (* (sqrt (+ (exp x) 1)) (cbrt (exp x))) (sqrt (- (* (exp x) (exp x)) (- (exp x) 1)))))) * * * * [misc]progress: [ 210 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) 1) (/ (- (exp (+ x x)) 1) (sqrt (- (* 1 1) (* (exp x) (exp x)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (165 enodes) * [exit]simplify: Simplified to (* (/ (* (cbrt (exp x)) (cbrt (exp x))) (- (* (exp x) (exp x)) 1)) (sqrt (- 1 (* (exp x) (exp x))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (* (cbrt (exp x)) (cbrt (exp x))) (- (* (exp x) (exp x)) 1)) (sqrt (- 1 (* (exp x) (exp x))))) (/ (/ (cbrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (sqrt (- 1 (exp x)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (sqrt (- 1 (exp x)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (123 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (+ (exp x) 1)) (cbrt (exp x))) (sqrt (- 1 (exp x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (* (cbrt (exp x)) (cbrt (exp x))) (- (* (exp x) (exp x)) 1)) (sqrt (- 1 (* (exp x) (exp x))))) (/ (* (sqrt (+ (exp x) 1)) (cbrt (exp x))) (sqrt (- 1 (exp x)))))) * * * * [misc]progress: [ 211 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) 1) (* (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))) (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (112 enodes) * * [misc]simplify: iters left: 2 (254 enodes) * * [misc]simplify: iters left: 1 (331 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (exp x)) (cbrt (/ (- (* (exp x) (exp x)) 1) (sqrt (+ 1 (exp x)))))) (/ (cbrt (exp x)) (cbrt (/ (- (* (exp x) (exp x)) 1) (sqrt (+ 1 (exp x))))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (cbrt (exp x)) (cbrt (/ (- (* (exp x) (exp x)) 1) (sqrt (+ 1 (exp x)))))) (/ (cbrt (exp x)) (cbrt (/ (- (* (exp x) (exp x)) 1) (sqrt (+ 1 (exp x))))))) (/ (/ (cbrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (137 enodes) * * [misc]simplify: iters left: 1 (224 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (exp x)) (sqrt (+ 1 (exp x)))) (cbrt (/ (- (* (exp x) (exp x)) 1) (sqrt (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) 1) (* (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))) (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))))) (/ (* (cbrt (exp x)) (sqrt (+ 1 (exp x)))) (cbrt (/ (- (* (exp x) (exp x)) 1) (sqrt (+ 1 (exp x)))))))) * * * * [misc]progress: [ 212 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) 1) (sqrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (177 enodes) * * [misc]simplify: iters left: 1 (218 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (/ (- (* (exp x) (exp x)) 1) (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (/ (- (* (exp x) (exp x)) 1) (sqrt (+ (exp x) 1))))) (/ (/ (cbrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (sqrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (sqrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (137 enodes) * * [misc]simplify: iters left: 1 (224 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (exp x)) (sqrt (+ 1 (exp x)))) (sqrt (/ (- (* (exp x) (exp x)) 1) (sqrt (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (/ (- (* (exp x) (exp x)) 1) (sqrt (+ (exp x) 1))))) (/ (* (cbrt (exp x)) (sqrt (+ 1 (exp x)))) (sqrt (/ (- (* (exp x) (exp x)) 1) (sqrt (+ 1 (exp x)))))))) * * * * [misc]progress: [ 213 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) 1) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (88 enodes) * * [misc]simplify: iters left: 3 (271 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (exp x)) (/ (cbrt (- (* (exp x) (exp x)) 1)) (cbrt (sqrt (+ (exp x) 1))))) (/ (cbrt (exp x)) (/ (cbrt (- (* (exp x) (exp x)) 1)) (cbrt (sqrt (+ (exp x) 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (cbrt (exp x)) (/ (cbrt (- (* (exp x) (exp x)) 1)) (cbrt (sqrt (+ (exp x) 1))))) (/ (cbrt (exp x)) (/ (cbrt (- (* (exp x) (exp x)) 1)) (cbrt (sqrt (+ (exp x) 1)))))) (/ (/ (cbrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (cbrt (- (exp (+ x x)) 1)) (cbrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (cbrt (- (exp (+ x x)) 1)) (cbrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (200 enodes) * * [misc]simplify: iters left: 1 (478 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (exp x)) (sqrt (+ (exp x) 1))) (/ (cbrt (- (* (exp x) (exp x)) 1)) (cbrt (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) 1) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))))) (/ (* (cbrt (exp x)) (sqrt (+ (exp x) 1))) (/ (cbrt (- (* (exp x) (exp x)) 1)) (cbrt (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 214 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) 1) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (sqrt (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (151 enodes) * * [misc]simplify: iters left: 2 (398 enodes) * [exit]simplify: Simplified to (/ (* (fabs (cbrt (+ (exp x) 1))) (* (cbrt (exp x)) (cbrt (exp x)))) (* (cbrt (- (* (exp x) (exp x)) 1)) (cbrt (- (* (exp x) (exp x)) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (fabs (cbrt (+ (exp x) 1))) (* (cbrt (exp x)) (cbrt (exp x)))) (* (cbrt (- (* (exp x) (exp x)) 1)) (cbrt (- (* (exp x) (exp x)) 1)))) (/ (/ (cbrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (cbrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (cbrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (236 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (exp x)) (cbrt (- (* (exp x) (exp x)) 1))) (* (sqrt (cbrt (+ (exp x) 1))) (sqrt (+ (exp x) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (fabs (cbrt (+ (exp x) 1))) (* (cbrt (exp x)) (cbrt (exp x)))) (* (cbrt (- (* (exp x) (exp x)) 1)) (cbrt (- (* (exp x) (exp x)) 1)))) (* (/ (cbrt (exp x)) (cbrt (- (* (exp x) (exp x)) 1))) (* (sqrt (cbrt (+ (exp x) 1))) (sqrt (+ (exp x) 1)))))) * * * * [misc]progress: [ 215 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) 1) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (149 enodes) * * [misc]simplify: iters left: 2 (428 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (cbrt (- (* (exp x) (exp x)) 1))) (/ (cbrt (- (* (exp x) (exp x)) 1)) (sqrt (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (cbrt (- (* (exp x) (exp x)) 1))) (/ (cbrt (- (* (exp x) (exp x)) 1)) (sqrt (sqrt (+ (exp x) 1))))) (/ (/ (cbrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (200 enodes) * * [misc]simplify: iters left: 1 (478 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (exp x)) (sqrt (+ (exp x) 1))) (/ (cbrt (- (* (exp x) (exp x)) 1)) (sqrt (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) 1) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (sqrt (sqrt (+ 1 (exp x)))))) (/ (* (cbrt (exp x)) (sqrt (+ (exp x) 1))) (/ (cbrt (- (* (exp x) (exp x)) 1)) (sqrt (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 216 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) 1) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (sqrt 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (157 enodes) * * [misc]simplify: iters left: 2 (464 enodes) * [exit]simplify: Simplified to (* (/ (* (cbrt (exp x)) (cbrt (exp x))) (cbrt (- (* (exp x) (exp x)) 1))) (/ (sqrt 1) (cbrt (- (* (exp x) (exp x)) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (* (cbrt (exp x)) (cbrt (exp x))) (cbrt (- (* (exp x) (exp x)) 1))) (/ (sqrt 1) (cbrt (- (* (exp x) (exp x)) 1)))) (/ (/ (cbrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (162 enodes) * * [misc]simplify: iters left: 1 (344 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (exp x)) (+ 1 (exp x))) (cbrt (- (* (exp x) (exp x)) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) 1) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (sqrt 1))) (/ (* (cbrt (exp x)) (+ 1 (exp x))) (cbrt (- (* (exp x) (exp x)) 1))))) * * * * [misc]progress: [ 217 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) 1) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (149 enodes) * * [misc]simplify: iters left: 2 (428 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (cbrt (- (* (exp x) (exp x)) 1))) (/ (cbrt (- (* (exp x) (exp x)) 1)) (sqrt (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (cbrt (- (* (exp x) (exp x)) 1))) (/ (cbrt (- (* (exp x) (exp x)) 1)) (sqrt (sqrt (+ (exp x) 1))))) (/ (/ (cbrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (200 enodes) * * [misc]simplify: iters left: 1 (478 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (exp x)) (sqrt (+ (exp x) 1))) (/ (cbrt (- (* (exp x) (exp x)) 1)) (sqrt (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) 1) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (sqrt (sqrt (+ 1 (exp x)))))) (/ (* (cbrt (exp x)) (sqrt (+ (exp x) 1))) (/ (cbrt (- (* (exp x) (exp x)) 1)) (sqrt (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 218 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) 1) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (126 enodes) * * [misc]simplify: iters left: 2 (251 enodes) * * [misc]simplify: iters left: 1 (408 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (exp x)) (cbrt (- (* (exp x) (exp x)) 1))) (/ (cbrt (exp x)) (cbrt (- (* (exp x) (exp x)) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (cbrt (exp x)) (cbrt (- (* (exp x) (exp x)) 1))) (/ (cbrt (exp x)) (cbrt (- (* (exp x) (exp x)) 1)))) (/ (/ (cbrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (162 enodes) * * [misc]simplify: iters left: 1 (344 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (exp x)) (+ 1 (exp x))) (cbrt (- (* (exp x) (exp x)) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (cbrt (exp x)) (cbrt (- (* (exp x) (exp x)) 1))) (/ (cbrt (exp x)) (cbrt (- (* (exp x) (exp x)) 1)))) (/ (* (cbrt (exp x)) (+ 1 (exp x))) (cbrt (- (* (exp x) (exp x)) 1))))) * * * * [misc]progress: [ 219 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) 1) (/ (sqrt (- (exp (+ x x)) 1)) (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (135 enodes) * * [misc]simplify: iters left: 2 (331 enodes) * [exit]simplify: Simplified to (* (/ (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (- (* (exp x) (exp x)) 1))) (* (cbrt (sqrt (+ (exp x) 1))) (cbrt (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (- (* (exp x) (exp x)) 1))) (* (cbrt (sqrt (+ (exp x) 1))) (cbrt (sqrt (+ (exp x) 1))))) (/ (/ (cbrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (sqrt (- (exp (+ x x)) 1)) (cbrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (sqrt (- (exp (+ x x)) 1)) (cbrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (200 enodes) * * [misc]simplify: iters left: 1 (478 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (exp x)) (sqrt (+ (exp x) 1))) (/ (sqrt (- (* (exp x) (exp x)) 1)) (cbrt (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (- (* (exp x) (exp x)) 1))) (* (cbrt (sqrt (+ (exp x) 1))) (cbrt (sqrt (+ (exp x) 1))))) (/ (* (cbrt (exp x)) (sqrt (+ (exp x) 1))) (/ (sqrt (- (* (exp x) (exp x)) 1)) (cbrt (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 220 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) 1) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (236 enodes) * * [misc]simplify: iters left: 1 (349 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (exp x)) (cbrt (exp x))) (/ (sqrt (- (* (exp x) (exp x)) 1)) (fabs (cbrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (cbrt (exp x)) (cbrt (exp x))) (/ (sqrt (- (* (exp x) (exp x)) 1)) (fabs (cbrt (+ (exp x) 1))))) (/ (/ (cbrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (cbrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (cbrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (236 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (exp x)) (sqrt (- (* (exp x) (exp x)) 1))) (* (sqrt (cbrt (+ (exp x) 1))) (sqrt (+ (exp x) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (cbrt (exp x)) (cbrt (exp x))) (/ (sqrt (- (* (exp x) (exp x)) 1)) (fabs (cbrt (+ (exp x) 1))))) (* (/ (cbrt (exp x)) (sqrt (- (* (exp x) (exp x)) 1))) (* (sqrt (cbrt (+ (exp x) 1))) (sqrt (+ (exp x) 1)))))) * * * * [misc]progress: [ 221 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) 1) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (223 enodes) * * [misc]simplify: iters left: 1 (365 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (sqrt (+ (exp x) 1))) (* (cbrt (exp x)) (cbrt (exp x)))) (sqrt (- (* (exp x) (exp x)) 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (sqrt (sqrt (+ (exp x) 1))) (* (cbrt (exp x)) (cbrt (exp x)))) (sqrt (- (* (exp x) (exp x)) 1))) (/ (/ (cbrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (200 enodes) * * [misc]simplify: iters left: 1 (478 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (exp x)) (sqrt (+ (exp x) 1))) (/ (sqrt (- (* (exp x) (exp x)) 1)) (sqrt (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (sqrt (sqrt (+ (exp x) 1))) (* (cbrt (exp x)) (cbrt (exp x)))) (sqrt (- (* (exp x) (exp x)) 1))) (/ (* (cbrt (exp x)) (sqrt (+ (exp x) 1))) (/ (sqrt (- (* (exp x) (exp x)) 1)) (sqrt (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 222 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) 1) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (222 enodes) * * [misc]simplify: iters left: 1 (346 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (exp x)) (* (cbrt (exp x)) (sqrt 1))) (sqrt (- (* (exp x) (exp x)) 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (cbrt (exp x)) (* (cbrt (exp x)) (sqrt 1))) (sqrt (- (* (exp x) (exp x)) 1))) (/ (/ (cbrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (162 enodes) * * [misc]simplify: iters left: 1 (344 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (exp x)) (+ 1 (exp x))) (sqrt (- (* (exp x) (exp x)) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (cbrt (exp x)) (* (cbrt (exp x)) (sqrt 1))) (sqrt (- (* (exp x) (exp x)) 1))) (/ (* (cbrt (exp x)) (+ 1 (exp x))) (sqrt (- (* (exp x) (exp x)) 1))))) * * * * [misc]progress: [ 223 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) 1) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (223 enodes) * * [misc]simplify: iters left: 1 (365 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (sqrt (+ (exp x) 1))) (* (cbrt (exp x)) (cbrt (exp x)))) (sqrt (- (* (exp x) (exp x)) 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (sqrt (sqrt (+ (exp x) 1))) (* (cbrt (exp x)) (cbrt (exp x)))) (sqrt (- (* (exp x) (exp x)) 1))) (/ (/ (cbrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (200 enodes) * * [misc]simplify: iters left: 1 (478 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (exp x)) (sqrt (+ (exp x) 1))) (/ (sqrt (- (* (exp x) (exp x)) 1)) (sqrt (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (sqrt (sqrt (+ (exp x) 1))) (* (cbrt (exp x)) (cbrt (exp x)))) (sqrt (- (* (exp x) (exp x)) 1))) (/ (* (cbrt (exp x)) (sqrt (+ (exp x) 1))) (/ (sqrt (- (* (exp x) (exp x)) 1)) (sqrt (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 224 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) 1) (/ (sqrt (- (exp (+ x x)) 1)) 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (174 enodes) * * [misc]simplify: iters left: 1 (264 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (- (* (exp x) (exp x)) 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (- (* (exp x) (exp x)) 1))) (/ (/ (cbrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (162 enodes) * * [misc]simplify: iters left: 1 (344 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (exp x)) (+ 1 (exp x))) (sqrt (- (* (exp x) (exp x)) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (- (* (exp x) (exp x)) 1))) (/ (* (cbrt (exp x)) (+ 1 (exp x))) (sqrt (- (* (exp x) (exp x)) 1))))) * * * * [misc]progress: [ 225 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) 1) (/ 1 (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (174 enodes) * * [misc]simplify: iters left: 1 (318 enodes) * [exit]simplify: Simplified to (* (* (cbrt (sqrt (+ (exp x) 1))) (cbrt (exp x))) (* (cbrt (sqrt (+ (exp x) 1))) (cbrt (exp x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (* (cbrt (sqrt (+ (exp x) 1))) (cbrt (exp x))) (* (cbrt (sqrt (+ (exp x) 1))) (cbrt (exp x)))) (/ (/ (cbrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp (+ x x)) 1) (cbrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp (+ x x)) 1) (cbrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (139 enodes) * * [misc]simplify: iters left: 2 (380 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (+ (exp x) 1))) (* (cbrt (exp x)) (sqrt (+ (exp x) 1)))) (- (* (exp x) (exp x)) 1)) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (* (cbrt (sqrt (+ (exp x) 1))) (cbrt (exp x))) (* (cbrt (sqrt (+ (exp x) 1))) (cbrt (exp x)))) (/ (* (cbrt (sqrt (+ (exp x) 1))) (* (cbrt (exp x)) (sqrt (+ (exp x) 1)))) (- (* (exp x) (exp x)) 1)))) * * * * [misc]progress: [ 226 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) 1) (/ 1 (sqrt (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (159 enodes) * * [misc]simplify: iters left: 1 (184 enodes) * [exit]simplify: Simplified to (* (fabs (cbrt (+ (exp x) 1))) (* (cbrt (exp x)) (cbrt (exp x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (fabs (cbrt (+ (exp x) 1))) (* (cbrt (exp x)) (cbrt (exp x)))) (/ (/ (cbrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp (+ x x)) 1) (sqrt (cbrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp (+ x x)) 1) (sqrt (cbrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (139 enodes) * * [misc]simplify: iters left: 2 (415 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (exp x)) (+ (exp x) 1)) (* (sqrt (cbrt (+ (exp x) 1))) (/ (sqrt (+ (exp x) 1)) (- (exp x) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (fabs (cbrt (+ (exp x) 1))) (* (cbrt (exp x)) (cbrt (exp x)))) (* (/ (cbrt (exp x)) (+ (exp x) 1)) (* (sqrt (cbrt (+ (exp x) 1))) (/ (sqrt (+ (exp x) 1)) (- (exp x) 1)))))) * * * * [misc]progress: [ 227 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) 1) (/ 1 (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (152 enodes) * * [misc]simplify: iters left: 1 (273 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ (exp x) 1))) (* (cbrt (exp x)) (cbrt (exp x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (sqrt (sqrt (+ (exp x) 1))) (* (cbrt (exp x)) (cbrt (exp x)))) (/ (/ (cbrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp (+ x x)) 1) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp (+ x x)) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (139 enodes) * * [misc]simplify: iters left: 2 (380 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (sqrt (+ (exp x) 1))) (* (cbrt (exp x)) (sqrt (+ (exp x) 1)))) (- (* (exp x) (exp x)) 1)) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt (sqrt (+ (exp x) 1))) (* (cbrt (exp x)) (cbrt (exp x)))) (/ (* (sqrt (sqrt (+ (exp x) 1))) (* (cbrt (exp x)) (sqrt (+ (exp x) 1)))) (- (* (exp x) (exp x)) 1)))) * * * * [misc]progress: [ 228 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) 1) (/ 1 (sqrt 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (148 enodes) * * [misc]simplify: iters left: 1 (227 enodes) * [exit]simplify: Simplified to (* (sqrt 1) (* (cbrt (exp x)) (cbrt (exp x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (sqrt 1) (* (cbrt (exp x)) (cbrt (exp x)))) (/ (/ (cbrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (141 enodes) * * [misc]simplify: iters left: 2 (403 enodes) * [exit]simplify: Simplified to (/ (cbrt (exp x)) (- (exp x) 1)) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt 1) (* (cbrt (exp x)) (cbrt (exp x)))) (/ (cbrt (exp x)) (- (exp x) 1)))) * * * * [misc]progress: [ 229 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) 1) (/ 1 (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (152 enodes) * * [misc]simplify: iters left: 1 (273 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ (exp x) 1))) (* (cbrt (exp x)) (cbrt (exp x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (sqrt (sqrt (+ (exp x) 1))) (* (cbrt (exp x)) (cbrt (exp x)))) (/ (/ (cbrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp (+ x x)) 1) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp (+ x x)) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (139 enodes) * * [misc]simplify: iters left: 2 (380 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (sqrt (+ (exp x) 1))) (* (cbrt (exp x)) (sqrt (+ (exp x) 1)))) (- (* (exp x) (exp x)) 1)) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt (sqrt (+ (exp x) 1))) (* (cbrt (exp x)) (cbrt (exp x)))) (/ (* (sqrt (sqrt (+ (exp x) 1))) (* (cbrt (exp x)) (sqrt (+ (exp x) 1)))) (- (* (exp x) (exp x)) 1)))) * * * * [misc]progress: [ 230 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) 1) (/ 1 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (* (cbrt (exp x)) (cbrt (exp x))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (cbrt (exp x)) (cbrt (exp x))) (/ (/ (cbrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (141 enodes) * * [misc]simplify: iters left: 2 (403 enodes) * [exit]simplify: Simplified to (/ (cbrt (exp x)) (- (exp x) 1)) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (cbrt (exp x)) (cbrt (exp x))) (/ (cbrt (exp x)) (- (exp x) 1)))) * * * * [misc]progress: [ 231 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) 1) (/ (+ (exp x) 1) (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (281 enodes) * [exit]simplify: Simplified to (* (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))) (* (/ (cbrt (exp x)) (+ 1 (exp x))) (cbrt (exp x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))) (* (/ (cbrt (exp x)) (+ 1 (exp x))) (cbrt (exp x)))) (/ (/ (cbrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp x) 1) (cbrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp x) 1) (cbrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (112 enodes) * * [misc]simplify: iters left: 2 (221 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ (exp x) 1))) (* (/ (cbrt (exp x)) (- (exp x) 1)) (sqrt (+ (exp x) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))) (* (/ (cbrt (exp x)) (+ 1 (exp x))) (cbrt (exp x)))) (* (cbrt (sqrt (+ (exp x) 1))) (* (/ (cbrt (exp x)) (- (exp x) 1)) (sqrt (+ (exp x) 1)))))) * * * * [misc]progress: [ 232 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) 1) (/ (+ (exp x) 1) (sqrt (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (204 enodes) * * [misc]simplify: iters left: 1 (309 enodes) * [exit]simplify: Simplified to (/ (fabs (cbrt (+ (exp x) 1))) (/ (/ (+ (exp x) 1) (cbrt (exp x))) (cbrt (exp x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (fabs (cbrt (+ (exp x) 1))) (/ (/ (+ (exp x) 1) (cbrt (exp x))) (cbrt (exp x)))) (/ (/ (cbrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp x) 1) (sqrt (cbrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp x) 1) (sqrt (cbrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (112 enodes) * * [misc]simplify: iters left: 2 (281 enodes) * [exit]simplify: Simplified to (* (* (/ (cbrt (exp x)) (- (exp x) 1)) (sqrt (+ (exp x) 1))) (sqrt (cbrt (+ (exp x) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (fabs (cbrt (+ (exp x) 1))) (/ (/ (+ (exp x) 1) (cbrt (exp x))) (cbrt (exp x)))) (* (* (/ (cbrt (exp x)) (- (exp x) 1)) (sqrt (+ (exp x) 1))) (sqrt (cbrt (+ (exp x) 1)))))) * * * * [misc]progress: [ 233 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) 1) (/ (+ (exp x) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (189 enodes) * * [misc]simplify: iters left: 1 (303 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ (exp x) 1))) (* (/ (cbrt (exp x)) (+ (exp x) 1)) (cbrt (exp x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (sqrt (sqrt (+ (exp x) 1))) (* (/ (cbrt (exp x)) (+ (exp x) 1)) (cbrt (exp x)))) (/ (/ (cbrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp x) 1) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp x) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (112 enodes) * * [misc]simplify: iters left: 2 (221 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ (exp x) 1))) (* (/ (cbrt (exp x)) (- (exp x) 1)) (sqrt (+ (exp x) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt (sqrt (+ (exp x) 1))) (* (/ (cbrt (exp x)) (+ (exp x) 1)) (cbrt (exp x)))) (* (sqrt (sqrt (+ (exp x) 1))) (* (/ (cbrt (exp x)) (- (exp x) 1)) (sqrt (+ (exp x) 1)))))) * * * * [misc]progress: [ 234 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) 1) (/ (+ (exp x) 1) (sqrt 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (213 enodes) * * [misc]simplify: iters left: 1 (373 enodes) * [exit]simplify: Simplified to (* (* (cbrt (exp x)) (cbrt (exp x))) (/ (sqrt 1) (+ 1 (exp x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (* (cbrt (exp x)) (cbrt (exp x))) (/ (sqrt 1) (+ 1 (exp x)))) (/ (/ (cbrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp x) 1) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp x) 1) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (235 enodes) * * [misc]simplify: iters left: 1 (479 enodes) * [exit]simplify: Simplified to (* (cbrt (exp x)) (/ (+ 1 (exp x)) (- (exp x) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (* (cbrt (exp x)) (cbrt (exp x))) (/ (sqrt 1) (+ 1 (exp x)))) (* (cbrt (exp x)) (/ (+ 1 (exp x)) (- (exp x) 1))))) * * * * [misc]progress: [ 235 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) 1) (/ (+ (exp x) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (189 enodes) * * [misc]simplify: iters left: 1 (303 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ (exp x) 1))) (* (/ (cbrt (exp x)) (+ (exp x) 1)) (cbrt (exp x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (sqrt (sqrt (+ (exp x) 1))) (* (/ (cbrt (exp x)) (+ (exp x) 1)) (cbrt (exp x)))) (/ (/ (cbrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp x) 1) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp x) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (112 enodes) * * [misc]simplify: iters left: 2 (221 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ (exp x) 1))) (* (/ (cbrt (exp x)) (- (exp x) 1)) (sqrt (+ (exp x) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt (sqrt (+ (exp x) 1))) (* (/ (cbrt (exp x)) (+ (exp x) 1)) (cbrt (exp x)))) (* (sqrt (sqrt (+ (exp x) 1))) (* (/ (cbrt (exp x)) (- (exp x) 1)) (sqrt (+ (exp x) 1)))))) * * * * [misc]progress: [ 236 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) 1) (/ (+ (exp x) 1) 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (123 enodes) * * [misc]simplify: iters left: 1 (182 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (exp x)) (cbrt (exp x))) (+ (exp x) 1)) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (cbrt (exp x)) (cbrt (exp x))) (+ (exp x) 1)) (/ (/ (cbrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp x) 1) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp x) 1) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (235 enodes) * * [misc]simplify: iters left: 1 (479 enodes) * [exit]simplify: Simplified to (* (cbrt (exp x)) (/ (+ 1 (exp x)) (- (exp x) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (cbrt (exp x)) (cbrt (exp x))) (+ (exp x) 1)) (* (cbrt (exp x)) (/ (+ 1 (exp x)) (- (exp x) 1))))) * * * * [misc]progress: [ 237 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) 1) (/ (+ (sqrt (exp (+ x x))) 1) (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (118 enodes) * * [misc]simplify: iters left: 2 (288 enodes) * [exit]simplify: Simplified to (* (* (cbrt (sqrt (+ (exp x) 1))) (/ (cbrt (exp x)) (+ (fabs (exp x)) 1))) (* (cbrt (sqrt (+ (exp x) 1))) (cbrt (exp x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (* (cbrt (sqrt (+ (exp x) 1))) (/ (cbrt (exp x)) (+ (fabs (exp x)) 1))) (* (cbrt (sqrt (+ (exp x) 1))) (cbrt (exp x)))) (/ (/ (cbrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (sqrt (exp (+ x x))) 1) (cbrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (sqrt (exp (+ x x))) 1) (cbrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (117 enodes) * * [misc]simplify: iters left: 2 (228 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (+ (exp x) 1)) (cbrt (exp x))) (/ (- (fabs (exp x)) 1) (cbrt (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (* (cbrt (sqrt (+ (exp x) 1))) (/ (cbrt (exp x)) (+ (fabs (exp x)) 1))) (* (cbrt (sqrt (+ (exp x) 1))) (cbrt (exp x)))) (/ (* (sqrt (+ (exp x) 1)) (cbrt (exp x))) (/ (- (fabs (exp x)) 1) (cbrt (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 238 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) 1) (/ (+ (sqrt (exp (+ x x))) 1) (sqrt (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * * [misc]simplify: iters left: 2 (214 enodes) * * [misc]simplify: iters left: 1 (301 enodes) * [exit]simplify: Simplified to (* (/ (* (cbrt (exp x)) (cbrt (exp x))) (+ (fabs (exp x)) 1)) (fabs (cbrt (+ (exp x) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (* (cbrt (exp x)) (cbrt (exp x))) (+ (fabs (exp x)) 1)) (fabs (cbrt (+ (exp x) 1)))) (/ (/ (cbrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (cbrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (cbrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (117 enodes) * * [misc]simplify: iters left: 2 (268 enodes) * [exit]simplify: Simplified to (/ (cbrt (exp x)) (/ (/ (- (fabs (exp x)) 1) (sqrt (+ (exp x) 1))) (sqrt (cbrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (* (cbrt (exp x)) (cbrt (exp x))) (+ (fabs (exp x)) 1)) (fabs (cbrt (+ (exp x) 1)))) (/ (cbrt (exp x)) (/ (/ (- (fabs (exp x)) 1) (sqrt (+ (exp x) 1))) (sqrt (cbrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 239 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) 1) (/ (+ (sqrt (exp (+ x x))) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (226 enodes) * * [misc]simplify: iters left: 1 (383 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ (exp x) 1))) (/ (* (cbrt (exp x)) (cbrt (exp x))) (+ (fabs (exp x)) 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (sqrt (sqrt (+ (exp x) 1))) (/ (* (cbrt (exp x)) (cbrt (exp x))) (+ (fabs (exp x)) 1))) (/ (/ (cbrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (117 enodes) * * [misc]simplify: iters left: 2 (228 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (+ (exp x) 1)) (cbrt (exp x))) (/ (- (fabs (exp x)) 1) (sqrt (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt (sqrt (+ (exp x) 1))) (/ (* (cbrt (exp x)) (cbrt (exp x))) (+ (fabs (exp x)) 1))) (/ (* (sqrt (+ (exp x) 1)) (cbrt (exp x))) (/ (- (fabs (exp x)) 1) (sqrt (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 240 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) 1) (/ (+ (sqrt (exp (+ x x))) 1) (sqrt 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (221 enodes) * * [misc]simplify: iters left: 1 (359 enodes) * [exit]simplify: Simplified to (/ (sqrt 1) (/ (+ (fabs (exp x)) 1) (* (cbrt (exp x)) (cbrt (exp x))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt 1) (/ (+ (fabs (exp x)) 1) (* (cbrt (exp x)) (cbrt (exp x))))) (/ (/ (cbrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (121 enodes) * * [misc]simplify: iters left: 2 (247 enodes) * * [misc]simplify: iters left: 1 (492 enodes) * [exit]simplify: Simplified to (/ (* (+ (exp x) 1) (cbrt (exp x))) (- (fabs (exp x)) 1)) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt 1) (/ (+ (fabs (exp x)) 1) (* (cbrt (exp x)) (cbrt (exp x))))) (/ (* (+ (exp x) 1) (cbrt (exp x))) (- (fabs (exp x)) 1)))) * * * * [misc]progress: [ 241 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) 1) (/ (+ (sqrt (exp (+ x x))) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (226 enodes) * * [misc]simplify: iters left: 1 (383 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ (exp x) 1))) (/ (* (cbrt (exp x)) (cbrt (exp x))) (+ (fabs (exp x)) 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (sqrt (sqrt (+ (exp x) 1))) (/ (* (cbrt (exp x)) (cbrt (exp x))) (+ (fabs (exp x)) 1))) (/ (/ (cbrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (117 enodes) * * [misc]simplify: iters left: 2 (228 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (+ (exp x) 1)) (cbrt (exp x))) (/ (- (fabs (exp x)) 1) (sqrt (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt (sqrt (+ (exp x) 1))) (/ (* (cbrt (exp x)) (cbrt (exp x))) (+ (fabs (exp x)) 1))) (/ (* (sqrt (+ (exp x) 1)) (cbrt (exp x))) (/ (- (fabs (exp x)) 1) (sqrt (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 242 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) 1) (/ (+ (sqrt (exp (+ x x))) 1) 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (128 enodes) * * [misc]simplify: iters left: 1 (168 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (exp x)) (cbrt (exp x))) (+ (fabs (exp x)) 1)) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (cbrt (exp x)) (cbrt (exp x))) (+ (fabs (exp x)) 1)) (/ (/ (cbrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (121 enodes) * * [misc]simplify: iters left: 2 (247 enodes) * * [misc]simplify: iters left: 1 (492 enodes) * [exit]simplify: Simplified to (/ (* (+ (exp x) 1) (cbrt (exp x))) (- (fabs (exp x)) 1)) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (cbrt (exp x)) (cbrt (exp x))) (+ (fabs (exp x)) 1)) (/ (* (+ (exp x) 1) (cbrt (exp x))) (- (fabs (exp x)) 1)))) * * * * [misc]progress: [ 243 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) 1) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * [exit]simplify: Simplified to (* (cbrt (exp x)) (cbrt (exp x))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (cbrt (exp x)) (cbrt (exp x))) (/ (/ (cbrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (141 enodes) * * [misc]simplify: iters left: 2 (403 enodes) * [exit]simplify: Simplified to (/ (cbrt (exp x)) (- (exp x) 1)) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (cbrt (exp x)) (cbrt (exp x))) (/ (cbrt (exp x)) (- (exp x) 1)))) * * * * [misc]progress: [ 244 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) 1) (- (exp (+ x x)) 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (168 enodes) * * [misc]simplify: iters left: 1 (298 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (exp x)) (cbrt (exp x))) (- (* (exp x) (exp x)) 1)) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (cbrt (exp x)) (cbrt (exp x))) (- (* (exp x) (exp x)) 1)) (/ (/ (cbrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ 1 (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ 1 (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (95 enodes) * [exit]simplify: Simplified to (* (+ (exp x) 1) (cbrt (exp x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (cbrt (exp x)) (cbrt (exp x))) (- (* (exp x) (exp x)) 1)) (* (+ (exp x) 1) (cbrt (exp x))))) * * * * [misc]progress: [ 245 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) 1) (/ (- (exp (+ x x)) 1) (sqrt (+ (pow 1 3) (pow (exp x) 3))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (142 enodes) * * [misc]simplify: iters left: 2 (406 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (pow (exp x) 3) 1)) (/ (- (* (exp x) (exp x)) 1) (* (cbrt (exp x)) (cbrt (exp x))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (+ (pow (exp x) 3) 1)) (/ (- (* (exp x) (exp x)) 1) (* (cbrt (exp x)) (cbrt (exp x))))) (/ (/ (cbrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (sqrt (+ (* 1 1) (- (* (exp x) (exp x)) (* 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (sqrt (+ (* 1 1) (- (* (exp x) (exp x)) (* 1 (exp x)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (114 enodes) * * [misc]simplify: iters left: 2 (143 enodes) * * [misc]simplify: iters left: 1 (199 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (+ (exp x) 1)) (cbrt (exp x))) (sqrt (- (* (exp x) (exp x)) (- (exp x) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (+ (pow (exp x) 3) 1)) (/ (- (* (exp x) (exp x)) 1) (* (cbrt (exp x)) (cbrt (exp x))))) (/ (* (sqrt (+ (exp x) 1)) (cbrt (exp x))) (sqrt (- (* (exp x) (exp x)) (- (exp x) 1)))))) * * * * [misc]progress: [ 246 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) 1) (/ (- (exp (+ x x)) 1) (sqrt (- (* 1 1) (* (exp x) (exp x)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (165 enodes) * [exit]simplify: Simplified to (* (/ (* (cbrt (exp x)) (cbrt (exp x))) (- (* (exp x) (exp x)) 1)) (sqrt (- 1 (* (exp x) (exp x))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (* (cbrt (exp x)) (cbrt (exp x))) (- (* (exp x) (exp x)) 1)) (sqrt (- 1 (* (exp x) (exp x))))) (/ (/ (cbrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (sqrt (- 1 (exp x)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (sqrt (- 1 (exp x)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (123 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (+ (exp x) 1)) (cbrt (exp x))) (sqrt (- 1 (exp x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (* (cbrt (exp x)) (cbrt (exp x))) (- (* (exp x) (exp x)) 1)) (sqrt (- 1 (* (exp x) (exp x))))) (/ (* (sqrt (+ (exp x) 1)) (cbrt (exp x))) (sqrt (- 1 (exp x)))))) * * * * [misc]progress: [ 247 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (/ 1 (sqrt (+ (pow (exp x) 3) (pow 1 3))))) (* (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))) (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (162 enodes) * * [misc]simplify: iters left: 2 (473 enodes) * [exit]simplify: Simplified to (/ (* (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (+ (pow (exp x) 3) 1))) (* (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ (exp x) 1)))) (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ (exp x) 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (+ (pow (exp x) 3) 1))) (* (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ (exp x) 1)))) (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ (exp x) 1)))))) (/ (/ (cbrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (156 enodes) * * [misc]simplify: iters left: 1 (256 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- 1 (exp x))))) (cbrt (/ (- (* (exp x) (exp x)) 1) (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (+ (pow (exp x) 3) 1))) (* (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ (exp x) 1)))) (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ (exp x) 1)))))) (/ (/ (cbrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- 1 (exp x))))) (cbrt (/ (- (* (exp x) (exp x)) 1) (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 248 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (/ 1 (sqrt (+ (pow (exp x) 3) (pow 1 3))))) (sqrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (123 enodes) * * [misc]simplify: iters left: 2 (280 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (+ (pow (exp x) 3) 1)) (* (cbrt (exp x)) (cbrt (exp x)))) (sqrt (/ (- (exp (+ x x)) 1) (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (sqrt (+ (pow (exp x) 3) 1)) (* (cbrt (exp x)) (cbrt (exp x)))) (sqrt (/ (- (exp (+ x x)) 1) (sqrt (+ (exp x) 1))))) (/ (/ (cbrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (sqrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (sqrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (156 enodes) * * [misc]simplify: iters left: 1 (256 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- 1 (exp x))))) (sqrt (/ (- (* (exp x) (exp x)) 1) (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (sqrt (+ (pow (exp x) 3) 1)) (* (cbrt (exp x)) (cbrt (exp x)))) (sqrt (/ (- (exp (+ x x)) 1) (sqrt (+ (exp x) 1))))) (/ (/ (cbrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- 1 (exp x))))) (sqrt (/ (- (* (exp x) (exp x)) 1) (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 249 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (/ 1 (sqrt (+ (pow (exp x) 3) (pow 1 3))))) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (342 enodes) * [exit]simplify: Simplified to (/ (/ (* (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (+ (pow (exp x) 3) 1))) (/ (cbrt (- (exp (+ x x)) 1)) (cbrt (sqrt (+ (exp x) 1))))) (/ (cbrt (- (exp (+ x x)) 1)) (cbrt (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (* (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (+ (pow (exp x) 3) 1))) (/ (cbrt (- (exp (+ x x)) 1)) (cbrt (sqrt (+ (exp x) 1))))) (/ (cbrt (- (exp (+ x x)) 1)) (cbrt (sqrt (+ (exp x) 1))))) (/ (/ (cbrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (cbrt (- (exp (+ x x)) 1)) (cbrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (cbrt (- (exp (+ x x)) 1)) (cbrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (148 enodes) * * [misc]simplify: iters left: 1 (223 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- 1 (exp x))))) (/ (cbrt (sqrt (+ (exp x) 1))) (cbrt (- (* (exp x) (exp x)) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (* (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (+ (pow (exp x) 3) 1))) (/ (cbrt (- (exp (+ x x)) 1)) (cbrt (sqrt (+ (exp x) 1))))) (/ (cbrt (- (exp (+ x x)) 1)) (cbrt (sqrt (+ (exp x) 1))))) (* (/ (cbrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- 1 (exp x))))) (/ (cbrt (sqrt (+ (exp x) 1))) (cbrt (- (* (exp x) (exp x)) 1)))))) * * * * [misc]progress: [ 250 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (/ 1 (sqrt (+ (pow (exp x) 3) (pow 1 3))))) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (sqrt (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (90 enodes) * * [misc]simplify: iters left: 3 (236 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (+ (pow (exp x) 3) 1)) (fabs (cbrt (+ (exp x) 1)))) (* (/ (cbrt (- (exp (+ x x)) 1)) (cbrt (exp x))) (/ (cbrt (- (exp (+ x x)) 1)) (cbrt (exp x))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (sqrt (+ (pow (exp x) 3) 1)) (fabs (cbrt (+ (exp x) 1)))) (* (/ (cbrt (- (exp (+ x x)) 1)) (cbrt (exp x))) (/ (cbrt (- (exp (+ x x)) 1)) (cbrt (exp x))))) (/ (/ (cbrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (cbrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (cbrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (148 enodes) * * [misc]simplify: iters left: 1 (223 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- 1 (exp x))))) (/ (sqrt (cbrt (+ (exp x) 1))) (cbrt (- (* (exp x) (exp x)) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (sqrt (+ (pow (exp x) 3) 1)) (fabs (cbrt (+ (exp x) 1)))) (* (/ (cbrt (- (exp (+ x x)) 1)) (cbrt (exp x))) (/ (cbrt (- (exp (+ x x)) 1)) (cbrt (exp x))))) (* (/ (cbrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- 1 (exp x))))) (/ (sqrt (cbrt (+ (exp x) 1))) (cbrt (- (* (exp x) (exp x)) 1)))))) * * * * [misc]progress: [ 251 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (/ 1 (sqrt (+ (pow (exp x) 3) (pow 1 3))))) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (88 enodes) * * [misc]simplify: iters left: 3 (234 enodes) * [exit]simplify: Simplified to (* (* (/ (cbrt (exp x)) (cbrt (- (exp (+ x x)) 1))) (/ (cbrt (exp x)) (cbrt (- (exp (+ x x)) 1)))) (* (sqrt (+ (pow (exp x) 3) 1)) (sqrt (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (* (/ (cbrt (exp x)) (cbrt (- (exp (+ x x)) 1))) (/ (cbrt (exp x)) (cbrt (- (exp (+ x x)) 1)))) (* (sqrt (+ (pow (exp x) 3) 1)) (sqrt (sqrt (+ (exp x) 1))))) (/ (/ (cbrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (148 enodes) * * [misc]simplify: iters left: 1 (223 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- 1 (exp x))))) (/ (sqrt (sqrt (+ (exp x) 1))) (cbrt (- (* (exp x) (exp x)) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (* (/ (cbrt (exp x)) (cbrt (- (exp (+ x x)) 1))) (/ (cbrt (exp x)) (cbrt (- (exp (+ x x)) 1)))) (* (sqrt (+ (pow (exp x) 3) 1)) (sqrt (sqrt (+ (exp x) 1))))) (* (/ (cbrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- 1 (exp x))))) (/ (sqrt (sqrt (+ (exp x) 1))) (cbrt (- (* (exp x) (exp x)) 1)))))) * * * * [misc]progress: [ 252 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (/ 1 (sqrt (+ (pow (exp x) 3) (pow 1 3))))) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (sqrt 1))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (233 enodes) * [exit]simplify: Simplified to (/ (* (* (* (sqrt 1) (cbrt (exp x))) (cbrt (exp x))) (sqrt (+ (pow (exp x) 3) 1))) (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (* (* (sqrt 1) (cbrt (exp x))) (cbrt (exp x))) (sqrt (+ (pow (exp x) 3) 1))) (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1)))) (/ (/ (cbrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (145 enodes) * * [misc]simplify: iters left: 1 (227 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (exp x)) (sqrt (+ (exp x) 1))) (* (cbrt (- (* (exp x) (exp x)) 1)) (sqrt (- (* (exp x) (exp x)) (- (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (* (* (sqrt 1) (cbrt (exp x))) (cbrt (exp x))) (sqrt (+ (pow (exp x) 3) 1))) (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1)))) (/ (* (cbrt (exp x)) (sqrt (+ (exp x) 1))) (* (cbrt (- (* (exp x) (exp x)) 1)) (sqrt (- (* (exp x) (exp x)) (- (exp x) 1))))))) * * * * [misc]progress: [ 253 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (/ 1 (sqrt (+ (pow (exp x) 3) (pow 1 3))))) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (88 enodes) * * [misc]simplify: iters left: 3 (234 enodes) * [exit]simplify: Simplified to (* (* (/ (cbrt (exp x)) (cbrt (- (exp (+ x x)) 1))) (/ (cbrt (exp x)) (cbrt (- (exp (+ x x)) 1)))) (* (sqrt (+ (pow (exp x) 3) 1)) (sqrt (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (* (/ (cbrt (exp x)) (cbrt (- (exp (+ x x)) 1))) (/ (cbrt (exp x)) (cbrt (- (exp (+ x x)) 1)))) (* (sqrt (+ (pow (exp x) 3) 1)) (sqrt (sqrt (+ (exp x) 1))))) (/ (/ (cbrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (148 enodes) * * [misc]simplify: iters left: 1 (223 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- 1 (exp x))))) (/ (sqrt (sqrt (+ (exp x) 1))) (cbrt (- (* (exp x) (exp x)) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (* (/ (cbrt (exp x)) (cbrt (- (exp (+ x x)) 1))) (/ (cbrt (exp x)) (cbrt (- (exp (+ x x)) 1)))) (* (sqrt (+ (pow (exp x) 3) 1)) (sqrt (sqrt (+ (exp x) 1))))) (* (/ (cbrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- 1 (exp x))))) (/ (sqrt (sqrt (+ (exp x) 1))) (cbrt (- (* (exp x) (exp x)) 1)))))) * * * * [misc]progress: [ 254 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (/ 1 (sqrt (+ (pow (exp x) 3) (pow 1 3))))) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) 1)) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (181 enodes) * [exit]simplify: Simplified to (* (/ (* (cbrt (exp x)) (cbrt (exp x))) (cbrt (- (exp (+ x x)) 1))) (/ (sqrt (+ (pow (exp x) 3) 1)) (cbrt (- (exp (+ x x)) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (* (cbrt (exp x)) (cbrt (exp x))) (cbrt (- (exp (+ x x)) 1))) (/ (sqrt (+ (pow (exp x) 3) 1)) (cbrt (- (exp (+ x x)) 1)))) (/ (/ (cbrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (145 enodes) * * [misc]simplify: iters left: 1 (227 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (exp x)) (sqrt (+ (exp x) 1))) (* (cbrt (- (* (exp x) (exp x)) 1)) (sqrt (- (* (exp x) (exp x)) (- (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (* (cbrt (exp x)) (cbrt (exp x))) (cbrt (- (exp (+ x x)) 1))) (/ (sqrt (+ (pow (exp x) 3) 1)) (cbrt (- (exp (+ x x)) 1)))) (/ (* (cbrt (exp x)) (sqrt (+ (exp x) 1))) (* (cbrt (- (* (exp x) (exp x)) 1)) (sqrt (- (* (exp x) (exp x)) (- (exp x) 1))))))) * * * * [misc]progress: [ 255 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (/ 1 (sqrt (+ (pow (exp x) 3) (pow 1 3))))) (/ (sqrt (- (exp (+ x x)) 1)) (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (201 enodes) * [exit]simplify: Simplified to (* (* (cbrt (exp x)) (sqrt (+ (pow (exp x) 3) 1))) (* (/ (cbrt (exp x)) (sqrt (- (exp (+ x x)) 1))) (* (cbrt (sqrt (+ (exp x) 1))) (cbrt (sqrt (+ (exp x) 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (* (cbrt (exp x)) (sqrt (+ (pow (exp x) 3) 1))) (* (/ (cbrt (exp x)) (sqrt (- (exp (+ x x)) 1))) (* (cbrt (sqrt (+ (exp x) 1))) (cbrt (sqrt (+ (exp x) 1)))))) (/ (/ (cbrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (cbrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (cbrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (148 enodes) * * [misc]simplify: iters left: 1 (223 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- 1 (exp x))))) (/ (cbrt (sqrt (+ (exp x) 1))) (sqrt (- (* (exp x) (exp x)) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (* (cbrt (exp x)) (sqrt (+ (pow (exp x) 3) 1))) (* (/ (cbrt (exp x)) (sqrt (- (exp (+ x x)) 1))) (* (cbrt (sqrt (+ (exp x) 1))) (cbrt (sqrt (+ (exp x) 1)))))) (* (/ (cbrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- 1 (exp x))))) (/ (cbrt (sqrt (+ (exp x) 1))) (sqrt (- (* (exp x) (exp x)) 1)))))) * * * * [misc]progress: [ 256 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (/ 1 (sqrt (+ (pow (exp x) 3) (pow 1 3))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (159 enodes) * * [misc]simplify: iters left: 2 (488 enodes) * [exit]simplify: Simplified to (/ (* (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (+ (pow (exp x) 3) 1))) (/ (sqrt (- (exp (+ x x)) 1)) (fabs (cbrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (+ (pow (exp x) 3) 1))) (/ (sqrt (- (exp (+ x x)) 1)) (fabs (cbrt (+ (exp x) 1))))) (/ (/ (cbrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (cbrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (cbrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (148 enodes) * * [misc]simplify: iters left: 1 (223 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- 1 (exp x))))) (/ (sqrt (cbrt (+ (exp x) 1))) (sqrt (- (* (exp x) (exp x)) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (+ (pow (exp x) 3) 1))) (/ (sqrt (- (exp (+ x x)) 1)) (fabs (cbrt (+ (exp x) 1))))) (* (/ (cbrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- 1 (exp x))))) (/ (sqrt (cbrt (+ (exp x) 1))) (sqrt (- (* (exp x) (exp x)) 1)))))) * * * * [misc]progress: [ 257 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (/ 1 (sqrt (+ (pow (exp x) 3) (pow 1 3))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (157 enodes) * * [misc]simplify: iters left: 2 (489 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ (exp x) 1))) (sqrt (- (exp (+ x x)) 1))) (* (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (+ (pow (exp x) 3) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (sqrt (sqrt (+ (exp x) 1))) (sqrt (- (exp (+ x x)) 1))) (* (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (+ (pow (exp x) 3) 1)))) (/ (/ (cbrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (148 enodes) * * [misc]simplify: iters left: 1 (223 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- 1 (exp x))))) (/ (sqrt (sqrt (+ (exp x) 1))) (sqrt (- (* (exp x) (exp x)) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (sqrt (sqrt (+ (exp x) 1))) (sqrt (- (exp (+ x x)) 1))) (* (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (+ (pow (exp x) 3) 1)))) (* (/ (cbrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- 1 (exp x))))) (/ (sqrt (sqrt (+ (exp x) 1))) (sqrt (- (* (exp x) (exp x)) 1)))))) * * * * [misc]progress: [ 258 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (/ 1 (sqrt (+ (pow (exp x) 3) (pow 1 3))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt 1))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (156 enodes) * * [misc]simplify: iters left: 2 (484 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (+ (pow (exp x) 3) 1)) (* (cbrt (exp x)) (cbrt (exp x)))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (sqrt (+ (pow (exp x) 3) 1)) (* (cbrt (exp x)) (cbrt (exp x)))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt 1))) (/ (/ (cbrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (145 enodes) * * [misc]simplify: iters left: 1 (227 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (exp x)) (sqrt (+ (exp x) 1))) (* (sqrt (- (* (exp x) (exp x)) 1)) (sqrt (- (* (exp x) (exp x)) (- (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (sqrt (+ (pow (exp x) 3) 1)) (* (cbrt (exp x)) (cbrt (exp x)))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt 1))) (/ (* (cbrt (exp x)) (sqrt (+ (exp x) 1))) (* (sqrt (- (* (exp x) (exp x)) 1)) (sqrt (- (* (exp x) (exp x)) (- (exp x) 1))))))) * * * * [misc]progress: [ 259 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (/ 1 (sqrt (+ (pow (exp x) 3) (pow 1 3))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (157 enodes) * * [misc]simplify: iters left: 2 (489 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ (exp x) 1))) (sqrt (- (exp (+ x x)) 1))) (* (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (+ (pow (exp x) 3) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (sqrt (sqrt (+ (exp x) 1))) (sqrt (- (exp (+ x x)) 1))) (* (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (+ (pow (exp x) 3) 1)))) (/ (/ (cbrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (148 enodes) * * [misc]simplify: iters left: 1 (223 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- 1 (exp x))))) (/ (sqrt (sqrt (+ (exp x) 1))) (sqrt (- (* (exp x) (exp x)) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (sqrt (sqrt (+ (exp x) 1))) (sqrt (- (exp (+ x x)) 1))) (* (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (+ (pow (exp x) 3) 1)))) (* (/ (cbrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- 1 (exp x))))) (/ (sqrt (sqrt (+ (exp x) 1))) (sqrt (- (* (exp x) (exp x)) 1)))))) * * * * [misc]progress: [ 260 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (/ 1 (sqrt (+ (pow (exp x) 3) (pow 1 3))))) (/ (sqrt (- (exp (+ x x)) 1)) 1)) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (136 enodes) * * [misc]simplify: iters left: 2 (344 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (exp x)) (sqrt (- (exp (+ x x)) 1))) (* (cbrt (exp x)) (sqrt (+ (pow (exp x) 3) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (cbrt (exp x)) (sqrt (- (exp (+ x x)) 1))) (* (cbrt (exp x)) (sqrt (+ (pow (exp x) 3) 1)))) (/ (/ (cbrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (145 enodes) * * [misc]simplify: iters left: 1 (227 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (exp x)) (sqrt (+ (exp x) 1))) (* (sqrt (- (* (exp x) (exp x)) 1)) (sqrt (- (* (exp x) (exp x)) (- (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (cbrt (exp x)) (sqrt (- (exp (+ x x)) 1))) (* (cbrt (exp x)) (sqrt (+ (pow (exp x) 3) 1)))) (/ (* (cbrt (exp x)) (sqrt (+ (exp x) 1))) (* (sqrt (- (* (exp x) (exp x)) 1)) (sqrt (- (* (exp x) (exp x)) (- (exp x) 1))))))) * * * * [misc]progress: [ 261 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (/ 1 (sqrt (+ (pow (exp x) 3) (pow 1 3))))) (/ 1 (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (164 enodes) * * [misc]simplify: iters left: 2 (468 enodes) * [exit]simplify: Simplified to (* (* (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (+ (pow (exp x) 3) 1))) (* (cbrt (sqrt (+ (exp x) 1))) (cbrt (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (* (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (+ (pow (exp x) 3) 1))) (* (cbrt (sqrt (+ (exp x) 1))) (cbrt (sqrt (+ (exp x) 1))))) (/ (/ (cbrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (- (exp (+ x x)) 1) (cbrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (- (exp (+ x x)) 1) (cbrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (123 enodes) * * [misc]simplify: iters left: 2 (285 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (+ (exp x) 1))) (/ (sqrt (- (* (exp x) (exp x)) (- (exp x) 1))) (/ (cbrt (exp x)) (- (* (exp x) (exp x)) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (* (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (+ (pow (exp x) 3) 1))) (* (cbrt (sqrt (+ (exp x) 1))) (cbrt (sqrt (+ (exp x) 1))))) (/ (cbrt (sqrt (+ (exp x) 1))) (/ (sqrt (- (* (exp x) (exp x)) (- (exp x) 1))) (/ (cbrt (exp x)) (- (* (exp x) (exp x)) 1)))))) * * * * [misc]progress: [ 262 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (/ 1 (sqrt (+ (pow (exp x) 3) (pow 1 3))))) (/ 1 (sqrt (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (125 enodes) * * [misc]simplify: iters left: 2 (318 enodes) * [exit]simplify: Simplified to (* (* (sqrt (+ (pow (exp x) 3) 1)) (fabs (cbrt (+ (exp x) 1)))) (* (cbrt (exp x)) (cbrt (exp x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (* (sqrt (+ (pow (exp x) 3) 1)) (fabs (cbrt (+ (exp x) 1)))) (* (cbrt (exp x)) (cbrt (exp x)))) (/ (/ (cbrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (- (exp (+ x x)) 1) (sqrt (cbrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (- (exp (+ x x)) 1) (sqrt (cbrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (123 enodes) * * [misc]simplify: iters left: 2 (285 enodes) * [exit]simplify: Simplified to (/ (sqrt (cbrt (+ (exp x) 1))) (/ (sqrt (- (* (exp x) (exp x)) (- (exp x) 1))) (/ (cbrt (exp x)) (- (* (exp x) (exp x)) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (* (sqrt (+ (pow (exp x) 3) 1)) (fabs (cbrt (+ (exp x) 1)))) (* (cbrt (exp x)) (cbrt (exp x)))) (/ (sqrt (cbrt (+ (exp x) 1))) (/ (sqrt (- (* (exp x) (exp x)) (- (exp x) 1))) (/ (cbrt (exp x)) (- (* (exp x) (exp x)) 1)))))) * * * * [misc]progress: [ 263 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (/ 1 (sqrt (+ (pow (exp x) 3) (pow 1 3))))) (/ 1 (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (123 enodes) * * [misc]simplify: iters left: 2 (313 enodes) * [exit]simplify: Simplified to (* (* (sqrt (+ (pow (exp x) 3) 1)) (cbrt (exp x))) (* (cbrt (exp x)) (sqrt (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (* (sqrt (+ (pow (exp x) 3) 1)) (cbrt (exp x))) (* (cbrt (exp x)) (sqrt (sqrt (+ (exp x) 1))))) (/ (/ (cbrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (- (exp (+ x x)) 1) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (- (exp (+ x x)) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (123 enodes) * * [misc]simplify: iters left: 2 (285 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ (exp x) 1))) (/ (sqrt (- (* (exp x) (exp x)) (- (exp x) 1))) (/ (cbrt (exp x)) (- (* (exp x) (exp x)) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (* (sqrt (+ (pow (exp x) 3) 1)) (cbrt (exp x))) (* (cbrt (exp x)) (sqrt (sqrt (+ (exp x) 1))))) (/ (sqrt (sqrt (+ (exp x) 1))) (/ (sqrt (- (* (exp x) (exp x)) (- (exp x) 1))) (/ (cbrt (exp x)) (- (* (exp x) (exp x)) 1)))))) * * * * [misc]progress: [ 264 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (/ 1 (sqrt (+ (pow (exp x) 3) (pow 1 3))))) (/ 1 (sqrt 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (120 enodes) * * [misc]simplify: iters left: 2 (307 enodes) * [exit]simplify: Simplified to (* (* (* (cbrt (exp x)) (cbrt (exp x))) (sqrt 1)) (sqrt (+ (pow (exp x) 3) 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (* (* (cbrt (exp x)) (cbrt (exp x))) (sqrt 1)) (sqrt (+ (pow (exp x) 3) 1))) (/ (/ (cbrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (122 enodes) * * [misc]simplify: iters left: 2 (282 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (exp x) 1)) (/ (sqrt (+ (* (exp x) (exp x)) (- 1 (exp x)))) (/ (cbrt (exp x)) (- (* (exp x) (exp x)) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (* (* (cbrt (exp x)) (cbrt (exp x))) (sqrt 1)) (sqrt (+ (pow (exp x) 3) 1))) (/ (sqrt (+ (exp x) 1)) (/ (sqrt (+ (* (exp x) (exp x)) (- 1 (exp x)))) (/ (cbrt (exp x)) (- (* (exp x) (exp x)) 1)))))) * * * * [misc]progress: [ 265 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (/ 1 (sqrt (+ (pow (exp x) 3) (pow 1 3))))) (/ 1 (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (123 enodes) * * [misc]simplify: iters left: 2 (313 enodes) * [exit]simplify: Simplified to (* (* (sqrt (+ (pow (exp x) 3) 1)) (cbrt (exp x))) (* (cbrt (exp x)) (sqrt (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (* (sqrt (+ (pow (exp x) 3) 1)) (cbrt (exp x))) (* (cbrt (exp x)) (sqrt (sqrt (+ (exp x) 1))))) (/ (/ (cbrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (- (exp (+ x x)) 1) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (- (exp (+ x x)) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (123 enodes) * * [misc]simplify: iters left: 2 (285 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ (exp x) 1))) (/ (sqrt (- (* (exp x) (exp x)) (- (exp x) 1))) (/ (cbrt (exp x)) (- (* (exp x) (exp x)) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (* (sqrt (+ (pow (exp x) 3) 1)) (cbrt (exp x))) (* (cbrt (exp x)) (sqrt (sqrt (+ (exp x) 1))))) (/ (sqrt (sqrt (+ (exp x) 1))) (/ (sqrt (- (* (exp x) (exp x)) (- (exp x) 1))) (/ (cbrt (exp x)) (- (* (exp x) (exp x)) 1)))))) * * * * [misc]progress: [ 266 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (/ 1 (sqrt (+ (pow (exp x) 3) (pow 1 3))))) (/ 1 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (197 enodes) * * [misc]simplify: iters left: 1 (253 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (pow (exp x) 3) 1)) (* (cbrt (exp x)) (cbrt (exp x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (sqrt (+ (pow (exp x) 3) 1)) (* (cbrt (exp x)) (cbrt (exp x)))) (/ (/ (cbrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (122 enodes) * * [misc]simplify: iters left: 2 (282 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (exp x) 1)) (/ (sqrt (+ (* (exp x) (exp x)) (- 1 (exp x)))) (/ (cbrt (exp x)) (- (* (exp x) (exp x)) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt (+ (pow (exp x) 3) 1)) (* (cbrt (exp x)) (cbrt (exp x)))) (/ (sqrt (+ (exp x) 1)) (/ (sqrt (+ (* (exp x) (exp x)) (- 1 (exp x)))) (/ (cbrt (exp x)) (- (* (exp x) (exp x)) 1)))))) * * * * [misc]progress: [ 267 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (/ 1 (sqrt (+ (pow (exp x) 3) (pow 1 3))))) (/ (+ (exp x) 1) (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (192 enodes) * [exit]simplify: Simplified to (* (* (/ (* (cbrt (exp x)) (cbrt (exp x))) (+ (exp x) 1)) (sqrt (+ (pow (exp x) 3) 1))) (* (cbrt (sqrt (+ (exp x) 1))) (cbrt (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (* (/ (* (cbrt (exp x)) (cbrt (exp x))) (+ (exp x) 1)) (sqrt (+ (pow (exp x) 3) 1))) (* (cbrt (sqrt (+ (exp x) 1))) (cbrt (sqrt (+ (exp x) 1))))) (/ (/ (cbrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (- (exp x) 1) (cbrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (- (exp x) 1) (cbrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (107 enodes) * * [misc]simplify: iters left: 2 (211 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (exp x)) (sqrt (+ (exp (+ x x)) (- 1 (exp x))))) (/ (- (exp x) 1) (cbrt (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (* (/ (* (cbrt (exp x)) (cbrt (exp x))) (+ (exp x) 1)) (sqrt (+ (pow (exp x) 3) 1))) (* (cbrt (sqrt (+ (exp x) 1))) (cbrt (sqrt (+ (exp x) 1))))) (/ (/ (cbrt (exp x)) (sqrt (+ (exp (+ x x)) (- 1 (exp x))))) (/ (- (exp x) 1) (cbrt (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 268 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (/ 1 (sqrt (+ (pow (exp x) 3) (pow 1 3))))) (/ (+ (exp x) 1) (sqrt (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (150 enodes) * * [misc]simplify: iters left: 2 (478 enodes) * [exit]simplify: Simplified to (* (* (/ (cbrt (exp x)) (/ (+ (exp x) 1) (cbrt (exp x)))) (fabs (cbrt (+ (exp x) 1)))) (sqrt (+ (pow (exp x) 3) 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (* (/ (cbrt (exp x)) (/ (+ (exp x) 1) (cbrt (exp x)))) (fabs (cbrt (+ (exp x) 1)))) (sqrt (+ (pow (exp x) 3) 1))) (/ (/ (cbrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (- (exp x) 1) (sqrt (cbrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (- (exp x) 1) (sqrt (cbrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (107 enodes) * * [misc]simplify: iters left: 2 (211 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (exp x)) (sqrt (+ (exp (+ x x)) (- 1 (exp x))))) (/ (- (exp x) 1) (sqrt (cbrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (* (/ (cbrt (exp x)) (/ (+ (exp x) 1) (cbrt (exp x)))) (fabs (cbrt (+ (exp x) 1)))) (sqrt (+ (pow (exp x) 3) 1))) (/ (/ (cbrt (exp x)) (sqrt (+ (exp (+ x x)) (- 1 (exp x))))) (/ (- (exp x) 1) (sqrt (cbrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 269 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (/ 1 (sqrt (+ (pow (exp x) 3) (pow 1 3))))) (/ (+ (exp x) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (148 enodes) * [exit]simplify: Simplified to (* (* (sqrt (sqrt (+ (exp x) 1))) (/ (cbrt (exp x)) (+ (exp x) 1))) (* (sqrt (+ (pow (exp x) 3) 1)) (cbrt (exp x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (* (sqrt (sqrt (+ (exp x) 1))) (/ (cbrt (exp x)) (+ (exp x) 1))) (* (sqrt (+ (pow (exp x) 3) 1)) (cbrt (exp x)))) (/ (/ (cbrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (- (exp x) 1) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (- (exp x) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (107 enodes) * * [misc]simplify: iters left: 2 (211 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (exp x)) (sqrt (+ (exp (+ x x)) (- 1 (exp x))))) (/ (- (exp x) 1) (sqrt (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (* (sqrt (sqrt (+ (exp x) 1))) (/ (cbrt (exp x)) (+ (exp x) 1))) (* (sqrt (+ (pow (exp x) 3) 1)) (cbrt (exp x)))) (/ (/ (cbrt (exp x)) (sqrt (+ (exp (+ x x)) (- 1 (exp x))))) (/ (- (exp x) 1) (sqrt (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 270 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (/ 1 (sqrt (+ (pow (exp x) 3) (pow 1 3))))) (/ (+ (exp x) 1) (sqrt 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (147 enodes) * * [misc]simplify: iters left: 2 (452 enodes) * [exit]simplify: Simplified to (* (/ (* (cbrt (exp x)) (cbrt (exp x))) (/ (+ (exp x) 1) (sqrt 1))) (sqrt (+ (pow (exp x) 3) 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (* (cbrt (exp x)) (cbrt (exp x))) (/ (+ (exp x) 1) (sqrt 1))) (sqrt (+ (pow (exp x) 3) 1))) (/ (/ (cbrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (- (exp x) 1) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (- (exp x) 1) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (209 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (+ (exp x) 1)) (/ (cbrt (exp x)) (- (exp x) 1))) (sqrt (+ (* (exp x) (exp x)) (- 1 (exp x))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (* (cbrt (exp x)) (cbrt (exp x))) (/ (+ (exp x) 1) (sqrt 1))) (sqrt (+ (pow (exp x) 3) 1))) (/ (* (sqrt (+ (exp x) 1)) (/ (cbrt (exp x)) (- (exp x) 1))) (sqrt (+ (* (exp x) (exp x)) (- 1 (exp x))))))) * * * * [misc]progress: [ 271 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (/ 1 (sqrt (+ (pow (exp x) 3) (pow 1 3))))) (/ (+ (exp x) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (148 enodes) * [exit]simplify: Simplified to (* (* (sqrt (sqrt (+ (exp x) 1))) (/ (cbrt (exp x)) (+ (exp x) 1))) (* (sqrt (+ (pow (exp x) 3) 1)) (cbrt (exp x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (* (sqrt (sqrt (+ (exp x) 1))) (/ (cbrt (exp x)) (+ (exp x) 1))) (* (sqrt (+ (pow (exp x) 3) 1)) (cbrt (exp x)))) (/ (/ (cbrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (- (exp x) 1) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (- (exp x) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (107 enodes) * * [misc]simplify: iters left: 2 (211 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (exp x)) (sqrt (+ (exp (+ x x)) (- 1 (exp x))))) (/ (- (exp x) 1) (sqrt (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (* (sqrt (sqrt (+ (exp x) 1))) (/ (cbrt (exp x)) (+ (exp x) 1))) (* (sqrt (+ (pow (exp x) 3) 1)) (cbrt (exp x)))) (/ (/ (cbrt (exp x)) (sqrt (+ (exp (+ x x)) (- 1 (exp x))))) (/ (- (exp x) 1) (sqrt (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 272 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (/ 1 (sqrt (+ (pow (exp x) 3) (pow 1 3))))) (/ (+ (exp x) 1) 1)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (127 enodes) * * [misc]simplify: iters left: 2 (329 enodes) * [exit]simplify: Simplified to (* (/ (* (cbrt (exp x)) (cbrt (exp x))) (+ 1 (exp x))) (sqrt (+ (pow (exp x) 3) 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (* (cbrt (exp x)) (cbrt (exp x))) (+ 1 (exp x))) (sqrt (+ (pow (exp x) 3) 1))) (/ (/ (cbrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (- (exp x) 1) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (- (exp x) 1) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (209 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (+ (exp x) 1)) (/ (cbrt (exp x)) (- (exp x) 1))) (sqrt (+ (* (exp x) (exp x)) (- 1 (exp x))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (* (cbrt (exp x)) (cbrt (exp x))) (+ 1 (exp x))) (sqrt (+ (pow (exp x) 3) 1))) (/ (* (sqrt (+ (exp x) 1)) (/ (cbrt (exp x)) (- (exp x) 1))) (sqrt (+ (* (exp x) (exp x)) (- 1 (exp x))))))) * * * * [misc]progress: [ 273 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (/ 1 (sqrt (+ (pow (exp x) 3) (pow 1 3))))) (/ (+ (sqrt (exp (+ x x))) 1) (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (196 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (+ (pow (exp x) 3) 1)) (/ (+ 1 (fabs (exp x))) (* (cbrt (exp x)) (cbrt (exp x))))) (* (cbrt (sqrt (+ (exp x) 1))) (cbrt (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (sqrt (+ (pow (exp x) 3) 1)) (/ (+ 1 (fabs (exp x))) (* (cbrt (exp x)) (cbrt (exp x))))) (* (cbrt (sqrt (+ (exp x) 1))) (cbrt (sqrt (+ (exp x) 1))))) (/ (/ (cbrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (- (sqrt (exp (+ x x))) 1) (cbrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (- (sqrt (exp (+ x x))) 1) (cbrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (105 enodes) * * [misc]simplify: iters left: 2 (167 enodes) * * [misc]simplify: iters left: 1 (242 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- 1 (exp x))))) (/ (- (fabs (exp x)) 1) (cbrt (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (sqrt (+ (pow (exp x) 3) 1)) (/ (+ 1 (fabs (exp x))) (* (cbrt (exp x)) (cbrt (exp x))))) (* (cbrt (sqrt (+ (exp x) 1))) (cbrt (sqrt (+ (exp x) 1))))) (/ (/ (cbrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- 1 (exp x))))) (/ (- (fabs (exp x)) 1) (cbrt (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 274 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (/ 1 (sqrt (+ (pow (exp x) 3) (pow 1 3))))) (/ (+ (sqrt (exp (+ x x))) 1) (sqrt (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (154 enodes) * * [misc]simplify: iters left: 2 (460 enodes) * [exit]simplify: Simplified to (* (* (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (+ (pow (exp x) 3) 1))) (/ (fabs (cbrt (+ (exp x) 1))) (+ 1 (fabs (exp x))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (* (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (+ (pow (exp x) 3) 1))) (/ (fabs (cbrt (+ (exp x) 1))) (+ 1 (fabs (exp x))))) (/ (/ (cbrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (cbrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (cbrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (105 enodes) * * [misc]simplify: iters left: 2 (167 enodes) * * [misc]simplify: iters left: 1 (242 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- 1 (exp x))))) (/ (- (fabs (exp x)) 1) (sqrt (cbrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (* (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (+ (pow (exp x) 3) 1))) (/ (fabs (cbrt (+ (exp x) 1))) (+ 1 (fabs (exp x))))) (/ (/ (cbrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- 1 (exp x))))) (/ (- (fabs (exp x)) 1) (sqrt (cbrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 275 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (/ 1 (sqrt (+ (pow (exp x) 3) (pow 1 3))))) (/ (+ (sqrt (exp (+ x x))) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (152 enodes) * * [misc]simplify: iters left: 2 (460 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (+ (pow (exp x) 3) 1)) (* (cbrt (exp x)) (cbrt (exp x)))) (/ (+ 1 (fabs (exp x))) (sqrt (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (sqrt (+ (pow (exp x) 3) 1)) (* (cbrt (exp x)) (cbrt (exp x)))) (/ (+ 1 (fabs (exp x))) (sqrt (sqrt (+ (exp x) 1))))) (/ (/ (cbrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (105 enodes) * * [misc]simplify: iters left: 2 (167 enodes) * * [misc]simplify: iters left: 1 (242 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- 1 (exp x))))) (/ (- (fabs (exp x)) 1) (sqrt (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (sqrt (+ (pow (exp x) 3) 1)) (* (cbrt (exp x)) (cbrt (exp x)))) (/ (+ 1 (fabs (exp x))) (sqrt (sqrt (+ (exp x) 1))))) (/ (/ (cbrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- 1 (exp x))))) (/ (- (fabs (exp x)) 1) (sqrt (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 276 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (/ 1 (sqrt (+ (pow (exp x) 3) (pow 1 3))))) (/ (+ (sqrt (exp (+ x x))) 1) (sqrt 1))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (149 enodes) * * [misc]simplify: iters left: 2 (472 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (+ (pow (exp x) 3) 1)) (/ (+ 1 (fabs (exp x))) (sqrt 1))) (* (cbrt (exp x)) (cbrt (exp x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (sqrt (+ (pow (exp x) 3) 1)) (/ (+ 1 (fabs (exp x))) (sqrt 1))) (* (cbrt (exp x)) (cbrt (exp x)))) (/ (/ (cbrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (166 enodes) * * [misc]simplify: iters left: 1 (250 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (exp x)) (sqrt (+ (exp x) 1))) (* (sqrt (+ (* (exp x) (exp x)) (- 1 (exp x)))) (- (fabs (exp x)) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (sqrt (+ (pow (exp x) 3) 1)) (/ (+ 1 (fabs (exp x))) (sqrt 1))) (* (cbrt (exp x)) (cbrt (exp x)))) (/ (* (cbrt (exp x)) (sqrt (+ (exp x) 1))) (* (sqrt (+ (* (exp x) (exp x)) (- 1 (exp x)))) (- (fabs (exp x)) 1))))) * * * * [misc]progress: [ 277 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (/ 1 (sqrt (+ (pow (exp x) 3) (pow 1 3))))) (/ (+ (sqrt (exp (+ x x))) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (152 enodes) * * [misc]simplify: iters left: 2 (460 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (+ (pow (exp x) 3) 1)) (* (cbrt (exp x)) (cbrt (exp x)))) (/ (+ 1 (fabs (exp x))) (sqrt (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (sqrt (+ (pow (exp x) 3) 1)) (* (cbrt (exp x)) (cbrt (exp x)))) (/ (+ 1 (fabs (exp x))) (sqrt (sqrt (+ (exp x) 1))))) (/ (/ (cbrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (105 enodes) * * [misc]simplify: iters left: 2 (167 enodes) * * [misc]simplify: iters left: 1 (242 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- 1 (exp x))))) (/ (- (fabs (exp x)) 1) (sqrt (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (sqrt (+ (pow (exp x) 3) 1)) (* (cbrt (exp x)) (cbrt (exp x)))) (/ (+ 1 (fabs (exp x))) (sqrt (sqrt (+ (exp x) 1))))) (/ (/ (cbrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- 1 (exp x))))) (/ (- (fabs (exp x)) 1) (sqrt (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 278 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (/ 1 (sqrt (+ (pow (exp x) 3) (pow 1 3))))) (/ (+ (sqrt (exp (+ x x))) 1) 1)) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (129 enodes) * * [misc]simplify: iters left: 2 (331 enodes) * [exit]simplify: Simplified to (* (/ (* (cbrt (exp x)) (cbrt (exp x))) (+ 1 (fabs (exp x)))) (sqrt (+ (pow (exp x) 3) 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (* (cbrt (exp x)) (cbrt (exp x))) (+ 1 (fabs (exp x)))) (sqrt (+ (pow (exp x) 3) 1))) (/ (/ (cbrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (166 enodes) * * [misc]simplify: iters left: 1 (250 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (exp x)) (sqrt (+ (exp x) 1))) (* (sqrt (+ (* (exp x) (exp x)) (- 1 (exp x)))) (- (fabs (exp x)) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (* (cbrt (exp x)) (cbrt (exp x))) (+ 1 (fabs (exp x)))) (sqrt (+ (pow (exp x) 3) 1))) (/ (* (cbrt (exp x)) (sqrt (+ (exp x) 1))) (* (sqrt (+ (* (exp x) (exp x)) (- 1 (exp x)))) (- (fabs (exp x)) 1))))) * * * * [misc]progress: [ 279 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (/ 1 (sqrt (+ (pow (exp x) 3) (pow 1 3))))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (183 enodes) * * [misc]simplify: iters left: 1 (200 enodes) * [exit]simplify: Simplified to (* (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (+ (pow (exp x) 3) 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (+ (pow (exp x) 3) 1))) (/ (/ (cbrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (122 enodes) * * [misc]simplify: iters left: 2 (282 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (exp x) 1)) (/ (sqrt (+ (* (exp x) (exp x)) (- 1 (exp x)))) (/ (cbrt (exp x)) (- (* (exp x) (exp x)) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (+ (pow (exp x) 3) 1))) (/ (sqrt (+ (exp x) 1)) (/ (sqrt (+ (* (exp x) (exp x)) (- 1 (exp x)))) (/ (cbrt (exp x)) (- (* (exp x) (exp x)) 1)))))) * * * * [misc]progress: [ 280 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (/ 1 (sqrt (+ (pow (exp x) 3) (pow 1 3))))) (- (exp (+ x x)) 1)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (435 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (pow (exp x) 3) 1)) (* (/ (- (exp x) 1) (cbrt (exp x))) (/ (+ (exp x) 1) (cbrt (exp x))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (+ (pow (exp x) 3) 1)) (* (/ (- (exp x) 1) (cbrt (exp x))) (/ (+ (exp x) 1) (cbrt (exp x))))) (/ (/ (cbrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ 1 (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ 1 (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (151 enodes) * * [misc]simplify: iters left: 1 (265 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (+ (exp x) 1)) (cbrt (exp x))) (sqrt (+ (* (exp x) (exp x)) (- 1 (exp x))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (+ (pow (exp x) 3) 1)) (* (/ (- (exp x) 1) (cbrt (exp x))) (/ (+ (exp x) 1) (cbrt (exp x))))) (/ (* (sqrt (+ (exp x) 1)) (cbrt (exp x))) (sqrt (+ (* (exp x) (exp x)) (- 1 (exp x))))))) * * * * [misc]progress: [ 281 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (/ 1 (sqrt (+ (pow (exp x) 3) (pow 1 3))))) (/ (- (exp (+ x x)) 1) (sqrt (+ (pow 1 3) (pow (exp x) 3))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (197 enodes) * [exit]simplify: Simplified to (* (* (sqrt (+ (pow (exp x) 3) 1)) (cbrt (exp x))) (* (sqrt (+ 1 (pow (exp x) 3))) (/ (/ (cbrt (exp x)) (+ (exp x) 1)) (- (exp x) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (* (sqrt (+ (pow (exp x) 3) 1)) (cbrt (exp x))) (* (sqrt (+ 1 (pow (exp x) 3))) (/ (/ (cbrt (exp x)) (+ (exp x) 1)) (- (exp x) 1)))) (/ (/ (cbrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (sqrt (+ (* 1 1) (- (* (exp x) (exp x)) (* 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (sqrt (+ (* 1 1) (- (* (exp x) (exp x)) (* 1 (exp x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (107 enodes) * * [misc]simplify: iters left: 1 (140 enodes) * [exit]simplify: Simplified to (/ (cbrt (exp x)) (- (* (exp x) (exp x)) (- (exp x) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (* (sqrt (+ (pow (exp x) 3) 1)) (cbrt (exp x))) (* (sqrt (+ 1 (pow (exp x) 3))) (/ (/ (cbrt (exp x)) (+ (exp x) 1)) (- (exp x) 1)))) (/ (cbrt (exp x)) (- (* (exp x) (exp x)) (- (exp x) 1))))) * * * * [misc]progress: [ 282 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (/ 1 (sqrt (+ (pow (exp x) 3) (pow 1 3))))) (/ (- (exp (+ x x)) 1) (sqrt (- (* 1 1) (* (exp x) (exp x)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (202 enodes) * [exit]simplify: Simplified to (/ (* (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (- 1 (exp (+ x x))))) (/ (- (exp (+ x x)) 1) (sqrt (+ (pow (exp x) 3) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (- 1 (exp (+ x x))))) (/ (- (exp (+ x x)) 1) (sqrt (+ (pow (exp x) 3) 1)))) (/ (/ (cbrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (sqrt (- 1 (exp x)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (sqrt (- 1 (exp x)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (98 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (exp x)) (sqrt (- 1 (exp x)))) (sqrt (+ (exp (+ x x)) (- 1 (exp x))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (- 1 (exp (+ x x))))) (/ (- (exp (+ x x)) 1) (sqrt (+ (pow (exp x) 3) 1)))) (/ (/ (cbrt (exp x)) (sqrt (- 1 (exp x)))) (sqrt (+ (exp (+ x x)) (- 1 (exp x))))))) * * * * [misc]progress: [ 283 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (/ 1 (sqrt (- (* (exp x) (exp x)) (* 1 1))))) (* (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))) (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (152 enodes) * * [misc]simplify: iters left: 2 (432 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (- (* (exp x) (exp x)) 1)) (* (cbrt (exp x)) (cbrt (exp x)))) (* (cbrt (/ (- (* (exp x) (exp x)) 1) (sqrt (+ (exp x) 1)))) (cbrt (/ (- (* (exp x) (exp x)) 1) (sqrt (+ (exp x) 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (sqrt (- (* (exp x) (exp x)) 1)) (* (cbrt (exp x)) (cbrt (exp x)))) (* (cbrt (/ (- (* (exp x) (exp x)) 1) (sqrt (+ (exp x) 1)))) (cbrt (/ (- (* (exp x) (exp x)) 1) (sqrt (+ (exp x) 1)))))) (/ (/ (cbrt (exp x)) (sqrt (- (exp x) 1))) (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (sqrt (- (exp x) 1))) (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (190 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (exp x)) (sqrt (- (exp x) 1))) (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (sqrt (- (* (exp x) (exp x)) 1)) (* (cbrt (exp x)) (cbrt (exp x)))) (* (cbrt (/ (- (* (exp x) (exp x)) 1) (sqrt (+ (exp x) 1)))) (cbrt (/ (- (* (exp x) (exp x)) 1) (sqrt (+ (exp x) 1)))))) (/ (/ (cbrt (exp x)) (sqrt (- (exp x) 1))) (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))))) * * * * [misc]progress: [ 284 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (/ 1 (sqrt (- (* (exp x) (exp x)) (* 1 1))))) (sqrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (113 enodes) * * [misc]simplify: iters left: 2 (305 enodes) * [exit]simplify: Simplified to (/ (* (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (- (* (exp x) (exp x)) 1))) (sqrt (/ (- (* (exp x) (exp x)) 1) (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (- (* (exp x) (exp x)) 1))) (sqrt (/ (- (* (exp x) (exp x)) 1) (sqrt (+ (exp x) 1))))) (/ (/ (cbrt (exp x)) (sqrt (- (exp x) 1))) (sqrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (sqrt (- (exp x) 1))) (sqrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (190 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (exp x)) (sqrt (- (exp x) 1))) (sqrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (- (* (exp x) (exp x)) 1))) (sqrt (/ (- (* (exp x) (exp x)) 1) (sqrt (+ (exp x) 1))))) (/ (/ (cbrt (exp x)) (sqrt (- (exp x) 1))) (sqrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))))) * * * * [misc]progress: [ 285 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (/ 1 (sqrt (- (* (exp x) (exp x)) (* 1 1))))) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (103 enodes) * * [misc]simplify: iters left: 3 (336 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (exp x)) (/ (cbrt (- (* (exp x) (exp x)) 1)) (cbrt (sqrt (+ (exp x) 1))))) (/ (* (cbrt (exp x)) (sqrt (- (* (exp x) (exp x)) 1))) (/ (cbrt (- (* (exp x) (exp x)) 1)) (cbrt (sqrt (+ (exp x) 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (cbrt (exp x)) (/ (cbrt (- (* (exp x) (exp x)) 1)) (cbrt (sqrt (+ (exp x) 1))))) (/ (* (cbrt (exp x)) (sqrt (- (* (exp x) (exp x)) 1))) (/ (cbrt (- (* (exp x) (exp x)) 1)) (cbrt (sqrt (+ (exp x) 1)))))) (/ (/ (cbrt (exp x)) (sqrt (- (exp x) 1))) (/ (cbrt (- (exp (+ x x)) 1)) (cbrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (sqrt (- (exp x) 1))) (/ (cbrt (- (exp (+ x x)) 1)) (cbrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (197 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (exp x)) (cbrt (- (exp (+ x x)) 1))) (/ (cbrt (sqrt (+ (exp x) 1))) (sqrt (- (exp x) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (cbrt (exp x)) (/ (cbrt (- (* (exp x) (exp x)) 1)) (cbrt (sqrt (+ (exp x) 1))))) (/ (* (cbrt (exp x)) (sqrt (- (* (exp x) (exp x)) 1))) (/ (cbrt (- (* (exp x) (exp x)) 1)) (cbrt (sqrt (+ (exp x) 1)))))) (* (/ (cbrt (exp x)) (cbrt (- (exp (+ x x)) 1))) (/ (cbrt (sqrt (+ (exp x) 1))) (sqrt (- (exp x) 1)))))) * * * * [misc]progress: [ 286 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (/ 1 (sqrt (- (* (exp x) (exp x)) (* 1 1))))) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (sqrt (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (80 enodes) * * [misc]simplify: iters left: 3 (226 enodes) * [exit]simplify: Simplified to (/ (* (fabs (cbrt (+ (exp x) 1))) (sqrt (- (* (exp x) (exp x)) 1))) (* (/ (cbrt (- (* (exp x) (exp x)) 1)) (cbrt (exp x))) (/ (cbrt (- (* (exp x) (exp x)) 1)) (cbrt (exp x))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (fabs (cbrt (+ (exp x) 1))) (sqrt (- (* (exp x) (exp x)) 1))) (* (/ (cbrt (- (* (exp x) (exp x)) 1)) (cbrt (exp x))) (/ (cbrt (- (* (exp x) (exp x)) 1)) (cbrt (exp x))))) (/ (/ (cbrt (exp x)) (sqrt (- (exp x) 1))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (cbrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (sqrt (- (exp x) 1))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (cbrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (197 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (exp x)) (cbrt (- (exp (+ x x)) 1))) (/ (sqrt (cbrt (+ (exp x) 1))) (sqrt (- (exp x) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (fabs (cbrt (+ (exp x) 1))) (sqrt (- (* (exp x) (exp x)) 1))) (* (/ (cbrt (- (* (exp x) (exp x)) 1)) (cbrt (exp x))) (/ (cbrt (- (* (exp x) (exp x)) 1)) (cbrt (exp x))))) (* (/ (cbrt (exp x)) (cbrt (- (exp (+ x x)) 1))) (/ (sqrt (cbrt (+ (exp x) 1))) (sqrt (- (exp x) 1)))))) * * * * [misc]progress: [ 287 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (/ 1 (sqrt (- (* (exp x) (exp x)) (* 1 1))))) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (224 enodes) * [exit]simplify: Simplified to (* (* (/ (cbrt (exp x)) (cbrt (- (* (exp x) (exp x)) 1))) (/ (cbrt (exp x)) (cbrt (- (* (exp x) (exp x)) 1)))) (* (sqrt (- (* (exp x) (exp x)) 1)) (sqrt (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (* (/ (cbrt (exp x)) (cbrt (- (* (exp x) (exp x)) 1))) (/ (cbrt (exp x)) (cbrt (- (* (exp x) (exp x)) 1)))) (* (sqrt (- (* (exp x) (exp x)) 1)) (sqrt (sqrt (+ (exp x) 1))))) (/ (/ (cbrt (exp x)) (sqrt (- (exp x) 1))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (sqrt (- (exp x) 1))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (197 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (exp x)) (cbrt (- (exp (+ x x)) 1))) (/ (sqrt (sqrt (+ (exp x) 1))) (sqrt (- (exp x) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (* (/ (cbrt (exp x)) (cbrt (- (* (exp x) (exp x)) 1))) (/ (cbrt (exp x)) (cbrt (- (* (exp x) (exp x)) 1)))) (* (sqrt (- (* (exp x) (exp x)) 1)) (sqrt (sqrt (+ (exp x) 1))))) (* (/ (cbrt (exp x)) (cbrt (- (exp (+ x x)) 1))) (/ (sqrt (sqrt (+ (exp x) 1))) (sqrt (- (exp x) 1)))))) * * * * [misc]progress: [ 288 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (/ 1 (sqrt (- (* (exp x) (exp x)) (* 1 1))))) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (sqrt 1))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (223 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (- (* (exp x) (exp x)) 1)) (cbrt (- (* (exp x) (exp x)) 1))) (/ (* (* (cbrt (exp x)) (cbrt (exp x))) (sqrt 1)) (cbrt (- (* (exp x) (exp x)) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (sqrt (- (* (exp x) (exp x)) 1)) (cbrt (- (* (exp x) (exp x)) 1))) (/ (* (* (cbrt (exp x)) (cbrt (exp x))) (sqrt 1)) (cbrt (- (* (exp x) (exp x)) 1)))) (/ (/ (cbrt (exp x)) (sqrt (- (exp x) 1))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (sqrt (- (exp x) 1))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (98 enodes) * * [misc]simplify: iters left: 1 (196 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (exp x)) (/ (sqrt (+ 1 (exp x))) (sqrt (- (exp x) 1)))) (cbrt (- (exp (+ x x)) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (sqrt (- (* (exp x) (exp x)) 1)) (cbrt (- (* (exp x) (exp x)) 1))) (/ (* (* (cbrt (exp x)) (cbrt (exp x))) (sqrt 1)) (cbrt (- (* (exp x) (exp x)) 1)))) (/ (* (cbrt (exp x)) (/ (sqrt (+ 1 (exp x))) (sqrt (- (exp x) 1)))) (cbrt (- (exp (+ x x)) 1))))) * * * * [misc]progress: [ 289 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (/ 1 (sqrt (- (* (exp x) (exp x)) (* 1 1))))) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (224 enodes) * [exit]simplify: Simplified to (* (* (/ (cbrt (exp x)) (cbrt (- (* (exp x) (exp x)) 1))) (/ (cbrt (exp x)) (cbrt (- (* (exp x) (exp x)) 1)))) (* (sqrt (- (* (exp x) (exp x)) 1)) (sqrt (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (* (/ (cbrt (exp x)) (cbrt (- (* (exp x) (exp x)) 1))) (/ (cbrt (exp x)) (cbrt (- (* (exp x) (exp x)) 1)))) (* (sqrt (- (* (exp x) (exp x)) 1)) (sqrt (sqrt (+ (exp x) 1))))) (/ (/ (cbrt (exp x)) (sqrt (- (exp x) 1))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (sqrt (- (exp x) 1))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (197 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (exp x)) (cbrt (- (exp (+ x x)) 1))) (/ (sqrt (sqrt (+ (exp x) 1))) (sqrt (- (exp x) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (* (/ (cbrt (exp x)) (cbrt (- (* (exp x) (exp x)) 1))) (/ (cbrt (exp x)) (cbrt (- (* (exp x) (exp x)) 1)))) (* (sqrt (- (* (exp x) (exp x)) 1)) (sqrt (sqrt (+ (exp x) 1))))) (* (/ (cbrt (exp x)) (cbrt (- (exp (+ x x)) 1))) (/ (sqrt (sqrt (+ (exp x) 1))) (sqrt (- (exp x) 1)))))) * * * * [misc]progress: [ 290 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (/ 1 (sqrt (- (* (exp x) (exp x)) (* 1 1))))) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) 1)) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (171 enodes) * [exit]simplify: Simplified to (/ (* (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (- (* (exp x) (exp x)) 1))) (* (cbrt (- (* (exp x) (exp x)) 1)) (cbrt (- (* (exp x) (exp x)) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (- (* (exp x) (exp x)) 1))) (* (cbrt (- (* (exp x) (exp x)) 1)) (cbrt (- (* (exp x) (exp x)) 1)))) (/ (/ (cbrt (exp x)) (sqrt (- (exp x) 1))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (sqrt (- (exp x) 1))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (98 enodes) * * [misc]simplify: iters left: 1 (196 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (exp x)) (/ (sqrt (+ 1 (exp x))) (sqrt (- (exp x) 1)))) (cbrt (- (exp (+ x x)) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (- (* (exp x) (exp x)) 1))) (* (cbrt (- (* (exp x) (exp x)) 1)) (cbrt (- (* (exp x) (exp x)) 1)))) (/ (* (cbrt (exp x)) (/ (sqrt (+ 1 (exp x))) (sqrt (- (exp x) 1)))) (cbrt (- (exp (+ x x)) 1))))) * * * * [misc]progress: [ 291 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (/ 1 (sqrt (- (* (exp x) (exp x)) (* 1 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (193 enodes) * [exit]simplify: Simplified to (* (* (* (cbrt (exp x)) (cbrt (exp x))) (cbrt (sqrt (+ (exp x) 1)))) (cbrt (sqrt (+ (exp x) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (* (* (cbrt (exp x)) (cbrt (exp x))) (cbrt (sqrt (+ (exp x) 1)))) (cbrt (sqrt (+ (exp x) 1)))) (/ (/ (cbrt (exp x)) (sqrt (- (exp x) 1))) (/ (sqrt (- (exp (+ x x)) 1)) (cbrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (sqrt (- (exp x) 1))) (/ (sqrt (- (exp (+ x x)) 1)) (cbrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (197 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (exp x)) (sqrt (- (exp (+ x x)) 1))) (/ (cbrt (sqrt (+ (exp x) 1))) (sqrt (- (exp x) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (* (* (cbrt (exp x)) (cbrt (exp x))) (cbrt (sqrt (+ (exp x) 1)))) (cbrt (sqrt (+ (exp x) 1)))) (* (/ (cbrt (exp x)) (sqrt (- (exp (+ x x)) 1))) (/ (cbrt (sqrt (+ (exp x) 1))) (sqrt (- (exp x) 1)))))) * * * * [misc]progress: [ 292 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (/ 1 (sqrt (- (* (exp x) (exp x)) (* 1 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (147 enodes) * * [misc]simplify: iters left: 2 (449 enodes) * [exit]simplify: Simplified to (* (* (cbrt (exp x)) (cbrt (exp x))) (fabs (cbrt (+ (exp x) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (* (cbrt (exp x)) (cbrt (exp x))) (fabs (cbrt (+ (exp x) 1)))) (/ (/ (cbrt (exp x)) (sqrt (- (exp x) 1))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (cbrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (sqrt (- (exp x) 1))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (cbrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (197 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (exp x)) (sqrt (- (exp (+ x x)) 1))) (/ (sqrt (cbrt (+ (exp x) 1))) (sqrt (- (exp x) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (* (cbrt (exp x)) (cbrt (exp x))) (fabs (cbrt (+ (exp x) 1)))) (* (/ (cbrt (exp x)) (sqrt (- (exp (+ x x)) 1))) (/ (sqrt (cbrt (+ (exp x) 1))) (sqrt (- (exp x) 1)))))) * * * * [misc]progress: [ 293 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (/ 1 (sqrt (- (* (exp x) (exp x)) (* 1 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (145 enodes) * * [misc]simplify: iters left: 2 (447 enodes) * [exit]simplify: Simplified to (* (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (sqrt (+ (exp x) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (sqrt (+ (exp x) 1)))) (/ (/ (cbrt (exp x)) (sqrt (- (exp x) 1))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (sqrt (- (exp x) 1))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (197 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (exp x)) (sqrt (- (exp (+ x x)) 1))) (/ (sqrt (sqrt (+ (exp x) 1))) (sqrt (- (exp x) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (sqrt (+ (exp x) 1)))) (* (/ (cbrt (exp x)) (sqrt (- (exp (+ x x)) 1))) (/ (sqrt (sqrt (+ (exp x) 1))) (sqrt (- (exp x) 1)))))) * * * * [misc]progress: [ 294 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (/ 1 (sqrt (- (* (exp x) (exp x)) (* 1 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt 1))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (144 enodes) * * [misc]simplify: iters left: 2 (441 enodes) * [exit]simplify: Simplified to (* (* (cbrt (exp x)) (sqrt 1)) (cbrt (exp x))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (* (cbrt (exp x)) (sqrt 1)) (cbrt (exp x))) (/ (/ (cbrt (exp x)) (sqrt (- (exp x) 1))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (sqrt (- (exp x) 1))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (98 enodes) * * [misc]simplify: iters left: 1 (196 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (exp x)) (/ (sqrt (+ 1 (exp x))) (sqrt (- (exp x) 1)))) (sqrt (- (exp (+ x x)) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (* (cbrt (exp x)) (sqrt 1)) (cbrt (exp x))) (/ (* (cbrt (exp x)) (/ (sqrt (+ 1 (exp x))) (sqrt (- (exp x) 1)))) (sqrt (- (exp (+ x x)) 1))))) * * * * [misc]progress: [ 295 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (/ 1 (sqrt (- (* (exp x) (exp x)) (* 1 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (145 enodes) * * [misc]simplify: iters left: 2 (447 enodes) * [exit]simplify: Simplified to (* (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (sqrt (+ (exp x) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (sqrt (+ (exp x) 1)))) (/ (/ (cbrt (exp x)) (sqrt (- (exp x) 1))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (sqrt (- (exp x) 1))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (197 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (exp x)) (sqrt (- (exp (+ x x)) 1))) (/ (sqrt (sqrt (+ (exp x) 1))) (sqrt (- (exp x) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (sqrt (+ (exp x) 1)))) (* (/ (cbrt (exp x)) (sqrt (- (exp (+ x x)) 1))) (/ (sqrt (sqrt (+ (exp x) 1))) (sqrt (- (exp x) 1)))))) * * * * [misc]progress: [ 296 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (/ 1 (sqrt (- (* (exp x) (exp x)) (* 1 1))))) (/ (sqrt (- (exp (+ x x)) 1)) 1)) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (120 enodes) * * [misc]simplify: iters left: 2 (272 enodes) * [exit]simplify: Simplified to (* (cbrt (exp x)) (cbrt (exp x))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (cbrt (exp x)) (cbrt (exp x))) (/ (/ (cbrt (exp x)) (sqrt (- (exp x) 1))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (sqrt (- (exp x) 1))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (98 enodes) * * [misc]simplify: iters left: 1 (196 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (exp x)) (/ (sqrt (+ 1 (exp x))) (sqrt (- (exp x) 1)))) (sqrt (- (exp (+ x x)) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (cbrt (exp x)) (cbrt (exp x))) (/ (* (cbrt (exp x)) (/ (sqrt (+ 1 (exp x))) (sqrt (- (exp x) 1)))) (sqrt (- (exp (+ x x)) 1))))) * * * * [misc]progress: [ 297 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (/ 1 (sqrt (- (* (exp x) (exp x)) (* 1 1))))) (/ 1 (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (160 enodes) * * [misc]simplify: iters left: 2 (451 enodes) * [exit]simplify: Simplified to (* (* (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (- (exp (+ x x)) 1))) (* (cbrt (sqrt (+ (exp x) 1))) (cbrt (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (* (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (- (exp (+ x x)) 1))) (* (cbrt (sqrt (+ (exp x) 1))) (cbrt (sqrt (+ (exp x) 1))))) (/ (/ (cbrt (exp x)) (sqrt (- (exp x) 1))) (/ (- (exp (+ x x)) 1) (cbrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (sqrt (- (exp x) 1))) (/ (- (exp (+ x x)) 1) (cbrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (204 enodes) * [exit]simplify: Simplified to (/ (* (/ (/ (cbrt (exp x)) (- (exp x) 1)) (+ (exp x) 1)) (cbrt (sqrt (+ (exp x) 1)))) (sqrt (- (exp x) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (* (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (- (exp (+ x x)) 1))) (* (cbrt (sqrt (+ (exp x) 1))) (cbrt (sqrt (+ (exp x) 1))))) (/ (* (/ (/ (cbrt (exp x)) (- (exp x) 1)) (+ (exp x) 1)) (cbrt (sqrt (+ (exp x) 1)))) (sqrt (- (exp x) 1))))) * * * * [misc]progress: [ 298 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (/ 1 (sqrt (- (* (exp x) (exp x)) (* 1 1))))) (/ 1 (sqrt (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (121 enodes) * * [misc]simplify: iters left: 2 (274 enodes) * [exit]simplify: Simplified to (* (* (sqrt (- (exp (+ x x)) 1)) (cbrt (exp x))) (* (fabs (cbrt (+ (exp x) 1))) (cbrt (exp x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (* (sqrt (- (exp (+ x x)) 1)) (cbrt (exp x))) (* (fabs (cbrt (+ (exp x) 1))) (cbrt (exp x)))) (/ (/ (cbrt (exp x)) (sqrt (- (exp x) 1))) (/ (- (exp (+ x x)) 1) (sqrt (cbrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (sqrt (- (exp x) 1))) (/ (- (exp (+ x x)) 1) (sqrt (cbrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (204 enodes) * [exit]simplify: Simplified to (/ (* (/ (/ (cbrt (exp x)) (- (exp x) 1)) (+ (exp x) 1)) (sqrt (cbrt (+ (exp x) 1)))) (sqrt (- (exp x) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (* (sqrt (- (exp (+ x x)) 1)) (cbrt (exp x))) (* (fabs (cbrt (+ (exp x) 1))) (cbrt (exp x)))) (/ (* (/ (/ (cbrt (exp x)) (- (exp x) 1)) (+ (exp x) 1)) (sqrt (cbrt (+ (exp x) 1)))) (sqrt (- (exp x) 1))))) * * * * [misc]progress: [ 299 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (/ 1 (sqrt (- (* (exp x) (exp x)) (* 1 1))))) (/ 1 (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (119 enodes) * * [misc]simplify: iters left: 2 (269 enodes) * [exit]simplify: Simplified to (* (* (cbrt (exp x)) (cbrt (exp x))) (* (sqrt (sqrt (+ (exp x) 1))) (sqrt (- (* (exp x) (exp x)) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (* (cbrt (exp x)) (cbrt (exp x))) (* (sqrt (sqrt (+ (exp x) 1))) (sqrt (- (* (exp x) (exp x)) 1)))) (/ (/ (cbrt (exp x)) (sqrt (- (exp x) 1))) (/ (- (exp (+ x x)) 1) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (sqrt (- (exp x) 1))) (/ (- (exp (+ x x)) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (204 enodes) * [exit]simplify: Simplified to (/ (* (/ (/ (cbrt (exp x)) (- (exp x) 1)) (+ (exp x) 1)) (sqrt (sqrt (+ (exp x) 1)))) (sqrt (- (exp x) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (* (cbrt (exp x)) (cbrt (exp x))) (* (sqrt (sqrt (+ (exp x) 1))) (sqrt (- (* (exp x) (exp x)) 1)))) (/ (* (/ (/ (cbrt (exp x)) (- (exp x) 1)) (+ (exp x) 1)) (sqrt (sqrt (+ (exp x) 1)))) (sqrt (- (exp x) 1))))) * * * * [misc]progress: [ 300 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (/ 1 (sqrt (- (* (exp x) (exp x)) (* 1 1))))) (/ 1 (sqrt 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (118 enodes) * * [misc]simplify: iters left: 2 (327 enodes) * [exit]simplify: Simplified to (* (* (* (cbrt (exp x)) (cbrt (exp x))) (sqrt 1)) (sqrt (- (exp (+ x x)) 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (* (* (cbrt (exp x)) (cbrt (exp x))) (sqrt 1)) (sqrt (- (exp (+ x x)) 1))) (/ (/ (cbrt (exp x)) (sqrt (- (exp x) 1))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (sqrt (- (exp x) 1))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (203 enodes) * [exit]simplify: Simplified to (* (/ (/ (cbrt (exp x)) (- (exp x) 1)) (sqrt (- (exp x) 1))) (/ (sqrt (+ (exp x) 1)) (+ (exp x) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (* (* (cbrt (exp x)) (cbrt (exp x))) (sqrt 1)) (sqrt (- (exp (+ x x)) 1))) (* (/ (/ (cbrt (exp x)) (- (exp x) 1)) (sqrt (- (exp x) 1))) (/ (sqrt (+ (exp x) 1)) (+ (exp x) 1))))) * * * * [misc]progress: [ 301 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (/ 1 (sqrt (- (* (exp x) (exp x)) (* 1 1))))) (/ 1 (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (119 enodes) * * [misc]simplify: iters left: 2 (269 enodes) * [exit]simplify: Simplified to (* (* (cbrt (exp x)) (cbrt (exp x))) (* (sqrt (sqrt (+ (exp x) 1))) (sqrt (- (* (exp x) (exp x)) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (* (cbrt (exp x)) (cbrt (exp x))) (* (sqrt (sqrt (+ (exp x) 1))) (sqrt (- (* (exp x) (exp x)) 1)))) (/ (/ (cbrt (exp x)) (sqrt (- (exp x) 1))) (/ (- (exp (+ x x)) 1) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (sqrt (- (exp x) 1))) (/ (- (exp (+ x x)) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (204 enodes) * [exit]simplify: Simplified to (/ (* (/ (/ (cbrt (exp x)) (- (exp x) 1)) (+ (exp x) 1)) (sqrt (sqrt (+ (exp x) 1)))) (sqrt (- (exp x) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (* (cbrt (exp x)) (cbrt (exp x))) (* (sqrt (sqrt (+ (exp x) 1))) (sqrt (- (* (exp x) (exp x)) 1)))) (/ (* (/ (/ (cbrt (exp x)) (- (exp x) 1)) (+ (exp x) 1)) (sqrt (sqrt (+ (exp x) 1)))) (sqrt (- (exp x) 1))))) * * * * [misc]progress: [ 302 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (/ 1 (sqrt (- (* (exp x) (exp x)) (* 1 1))))) (/ 1 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (209 enodes) * * [misc]simplify: iters left: 1 (270 enodes) * [exit]simplify: Simplified to (* (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (- (* (exp x) (exp x)) 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (- (* (exp x) (exp x)) 1))) (/ (/ (cbrt (exp x)) (sqrt (- (exp x) 1))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (sqrt (- (exp x) 1))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (203 enodes) * [exit]simplify: Simplified to (* (/ (/ (cbrt (exp x)) (- (exp x) 1)) (sqrt (- (exp x) 1))) (/ (sqrt (+ (exp x) 1)) (+ (exp x) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (- (* (exp x) (exp x)) 1))) (* (/ (/ (cbrt (exp x)) (- (exp x) 1)) (sqrt (- (exp x) 1))) (/ (sqrt (+ (exp x) 1)) (+ (exp x) 1))))) * * * * [misc]progress: [ 303 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (/ 1 (sqrt (- (* (exp x) (exp x)) (* 1 1))))) (/ (+ (exp x) 1) (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (207 enodes) * [exit]simplify: Simplified to (* (* (cbrt (sqrt (+ (exp x) 1))) (cbrt (sqrt (+ (exp x) 1)))) (/ (sqrt (- (* (exp x) (exp x)) 1)) (/ (/ (+ (exp x) 1) (cbrt (exp x))) (cbrt (exp x))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (* (cbrt (sqrt (+ (exp x) 1))) (cbrt (sqrt (+ (exp x) 1)))) (/ (sqrt (- (* (exp x) (exp x)) 1)) (/ (/ (+ (exp x) 1) (cbrt (exp x))) (cbrt (exp x))))) (/ (/ (cbrt (exp x)) (sqrt (- (exp x) 1))) (/ (- (exp x) 1) (cbrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (sqrt (- (exp x) 1))) (/ (- (exp x) 1) (cbrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (123 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (+ (exp x) 1))) (* (/ (- (exp x) 1) (cbrt (exp x))) (sqrt (- (exp x) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (* (cbrt (sqrt (+ (exp x) 1))) (cbrt (sqrt (+ (exp x) 1)))) (/ (sqrt (- (* (exp x) (exp x)) 1)) (/ (/ (+ (exp x) 1) (cbrt (exp x))) (cbrt (exp x))))) (/ (cbrt (sqrt (+ (exp x) 1))) (* (/ (- (exp x) 1) (cbrt (exp x))) (sqrt (- (exp x) 1)))))) * * * * [misc]progress: [ 304 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (/ 1 (sqrt (- (* (exp x) (exp x)) (* 1 1))))) (/ (+ (exp x) 1) (sqrt (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (162 enodes) * [exit]simplify: Simplified to (* (* (cbrt (exp x)) (sqrt (- (* (exp x) (exp x)) 1))) (* (fabs (cbrt (+ (exp x) 1))) (/ (cbrt (exp x)) (+ (exp x) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (* (cbrt (exp x)) (sqrt (- (* (exp x) (exp x)) 1))) (* (fabs (cbrt (+ (exp x) 1))) (/ (cbrt (exp x)) (+ (exp x) 1)))) (/ (/ (cbrt (exp x)) (sqrt (- (exp x) 1))) (/ (- (exp x) 1) (sqrt (cbrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (sqrt (- (exp x) 1))) (/ (- (exp x) 1) (sqrt (cbrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (123 enodes) * [exit]simplify: Simplified to (/ (sqrt (cbrt (+ (exp x) 1))) (* (/ (- (exp x) 1) (cbrt (exp x))) (sqrt (- (exp x) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (* (cbrt (exp x)) (sqrt (- (* (exp x) (exp x)) 1))) (* (fabs (cbrt (+ (exp x) 1))) (/ (cbrt (exp x)) (+ (exp x) 1)))) (/ (sqrt (cbrt (+ (exp x) 1))) (* (/ (- (exp x) 1) (cbrt (exp x))) (sqrt (- (exp x) 1)))))) * * * * [misc]progress: [ 305 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (/ 1 (sqrt (- (* (exp x) (exp x)) (* 1 1))))) (/ (+ (exp x) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (160 enodes) * * [misc]simplify: iters left: 2 (497 enodes) * [exit]simplify: Simplified to (* (* (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (- (exp (+ x x)) 1))) (/ (sqrt (sqrt (+ (exp x) 1))) (+ (exp x) 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (* (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (- (exp (+ x x)) 1))) (/ (sqrt (sqrt (+ (exp x) 1))) (+ (exp x) 1))) (/ (/ (cbrt (exp x)) (sqrt (- (exp x) 1))) (/ (- (exp x) 1) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (sqrt (- (exp x) 1))) (/ (- (exp x) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (123 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ (exp x) 1))) (* (/ (- (exp x) 1) (cbrt (exp x))) (sqrt (- (exp x) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (* (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (- (exp (+ x x)) 1))) (/ (sqrt (sqrt (+ (exp x) 1))) (+ (exp x) 1))) (/ (sqrt (sqrt (+ (exp x) 1))) (* (/ (- (exp x) 1) (cbrt (exp x))) (sqrt (- (exp x) 1)))))) * * * * [misc]progress: [ 306 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (/ 1 (sqrt (- (* (exp x) (exp x)) (* 1 1))))) (/ (+ (exp x) 1) (sqrt 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (143 enodes) * * [misc]simplify: iters left: 2 (493 enodes) * [exit]simplify: Simplified to (* (/ (* (cbrt (exp x)) (cbrt (exp x))) (/ (+ (exp x) 1) (sqrt 1))) (sqrt (- (* (exp x) (exp x)) 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (* (cbrt (exp x)) (cbrt (exp x))) (/ (+ (exp x) 1) (sqrt 1))) (sqrt (- (* (exp x) (exp x)) 1))) (/ (/ (cbrt (exp x)) (sqrt (- (exp x) 1))) (/ (- (exp x) 1) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (sqrt (- (exp x) 1))) (/ (- (exp x) 1) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (122 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (exp x)) (- (exp x) 1)) (/ (sqrt (+ (exp x) 1)) (sqrt (- (exp x) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (* (cbrt (exp x)) (cbrt (exp x))) (/ (+ (exp x) 1) (sqrt 1))) (sqrt (- (* (exp x) (exp x)) 1))) (* (/ (cbrt (exp x)) (- (exp x) 1)) (/ (sqrt (+ (exp x) 1)) (sqrt (- (exp x) 1)))))) * * * * [misc]progress: [ 307 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (/ 1 (sqrt (- (* (exp x) (exp x)) (* 1 1))))) (/ (+ (exp x) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (160 enodes) * * [misc]simplify: iters left: 2 (497 enodes) * [exit]simplify: Simplified to (* (* (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (- (exp (+ x x)) 1))) (/ (sqrt (sqrt (+ (exp x) 1))) (+ (exp x) 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (* (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (- (exp (+ x x)) 1))) (/ (sqrt (sqrt (+ (exp x) 1))) (+ (exp x) 1))) (/ (/ (cbrt (exp x)) (sqrt (- (exp x) 1))) (/ (- (exp x) 1) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (sqrt (- (exp x) 1))) (/ (- (exp x) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (123 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ (exp x) 1))) (* (/ (- (exp x) 1) (cbrt (exp x))) (sqrt (- (exp x) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (* (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (- (exp (+ x x)) 1))) (/ (sqrt (sqrt (+ (exp x) 1))) (+ (exp x) 1))) (/ (sqrt (sqrt (+ (exp x) 1))) (* (/ (- (exp x) 1) (cbrt (exp x))) (sqrt (- (exp x) 1)))))) * * * * [misc]progress: [ 308 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (/ 1 (sqrt (- (* (exp x) (exp x)) (* 1 1))))) (/ (+ (exp x) 1) 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (124 enodes) * * [misc]simplify: iters left: 2 (350 enodes) * [exit]simplify: Simplified to (* (* (/ (cbrt (exp x)) (+ (exp x) 1)) (cbrt (exp x))) (sqrt (- (exp (+ x x)) 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (* (/ (cbrt (exp x)) (+ (exp x) 1)) (cbrt (exp x))) (sqrt (- (exp (+ x x)) 1))) (/ (/ (cbrt (exp x)) (sqrt (- (exp x) 1))) (/ (- (exp x) 1) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (sqrt (- (exp x) 1))) (/ (- (exp x) 1) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (122 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (exp x)) (- (exp x) 1)) (/ (sqrt (+ (exp x) 1)) (sqrt (- (exp x) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (* (/ (cbrt (exp x)) (+ (exp x) 1)) (cbrt (exp x))) (sqrt (- (exp (+ x x)) 1))) (* (/ (cbrt (exp x)) (- (exp x) 1)) (/ (sqrt (+ (exp x) 1)) (sqrt (- (exp x) 1)))))) * * * * [misc]progress: [ 309 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (/ 1 (sqrt (- (* (exp x) (exp x)) (* 1 1))))) (/ (+ (sqrt (exp (+ x x))) 1) (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (192 enodes) * [exit]simplify: Simplified to (* (* (cbrt (sqrt (+ (exp x) 1))) (cbrt (sqrt (+ (exp x) 1)))) (* (/ (* (cbrt (exp x)) (cbrt (exp x))) (+ 1 (fabs (exp x)))) (sqrt (- (* (exp x) (exp x)) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (* (cbrt (sqrt (+ (exp x) 1))) (cbrt (sqrt (+ (exp x) 1)))) (* (/ (* (cbrt (exp x)) (cbrt (exp x))) (+ 1 (fabs (exp x)))) (sqrt (- (* (exp x) (exp x)) 1)))) (/ (/ (cbrt (exp x)) (sqrt (- (exp x) 1))) (/ (- (sqrt (exp (+ x x))) 1) (cbrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (sqrt (- (exp x) 1))) (/ (- (sqrt (exp (+ x x))) 1) (cbrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (98 enodes) * * [misc]simplify: iters left: 1 (129 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ (exp x) 1))) (* (sqrt (- (exp x) 1)) (- (fabs (exp x)) 1))) (cbrt (exp x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (* (cbrt (sqrt (+ (exp x) 1))) (cbrt (sqrt (+ (exp x) 1)))) (* (/ (* (cbrt (exp x)) (cbrt (exp x))) (+ 1 (fabs (exp x)))) (sqrt (- (* (exp x) (exp x)) 1)))) (* (/ (cbrt (sqrt (+ (exp x) 1))) (* (sqrt (- (exp x) 1)) (- (fabs (exp x)) 1))) (cbrt (exp x))))) * * * * [misc]progress: [ 310 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (/ 1 (sqrt (- (* (exp x) (exp x)) (* 1 1))))) (/ (+ (sqrt (exp (+ x x))) 1) (sqrt (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (150 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (- (* (exp x) (exp x)) 1)) (fabs (cbrt (+ (exp x) 1)))) (/ (+ 1 (fabs (exp x))) (* (cbrt (exp x)) (cbrt (exp x))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (sqrt (- (* (exp x) (exp x)) 1)) (fabs (cbrt (+ (exp x) 1)))) (/ (+ 1 (fabs (exp x))) (* (cbrt (exp x)) (cbrt (exp x))))) (/ (/ (cbrt (exp x)) (sqrt (- (exp x) 1))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (cbrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (sqrt (- (exp x) 1))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (cbrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (98 enodes) * * [misc]simplify: iters left: 1 (129 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (cbrt (+ (exp x) 1))) (* (sqrt (- (exp x) 1)) (- (fabs (exp x)) 1))) (cbrt (exp x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (sqrt (- (* (exp x) (exp x)) 1)) (fabs (cbrt (+ (exp x) 1)))) (/ (+ 1 (fabs (exp x))) (* (cbrt (exp x)) (cbrt (exp x))))) (* (/ (sqrt (cbrt (+ (exp x) 1))) (* (sqrt (- (exp x) 1)) (- (fabs (exp x)) 1))) (cbrt (exp x))))) * * * * [misc]progress: [ 311 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (/ 1 (sqrt (- (* (exp x) (exp x)) (* 1 1))))) (/ (+ (sqrt (exp (+ x x))) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (148 enodes) * * [misc]simplify: iters left: 2 (488 enodes) * [exit]simplify: Simplified to (* (* (/ (* (cbrt (exp x)) (cbrt (exp x))) (+ 1 (fabs (exp x)))) (sqrt (sqrt (+ (exp x) 1)))) (sqrt (- (* (exp x) (exp x)) 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (* (/ (* (cbrt (exp x)) (cbrt (exp x))) (+ 1 (fabs (exp x)))) (sqrt (sqrt (+ (exp x) 1)))) (sqrt (- (* (exp x) (exp x)) 1))) (/ (/ (cbrt (exp x)) (sqrt (- (exp x) 1))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (sqrt (- (exp x) 1))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (98 enodes) * * [misc]simplify: iters left: 1 (129 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ (exp x) 1))) (* (sqrt (- (exp x) 1)) (- (fabs (exp x)) 1))) (cbrt (exp x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (* (/ (* (cbrt (exp x)) (cbrt (exp x))) (+ 1 (fabs (exp x)))) (sqrt (sqrt (+ (exp x) 1)))) (sqrt (- (* (exp x) (exp x)) 1))) (* (/ (sqrt (sqrt (+ (exp x) 1))) (* (sqrt (- (exp x) 1)) (- (fabs (exp x)) 1))) (cbrt (exp x))))) * * * * [misc]progress: [ 312 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (/ 1 (sqrt (- (* (exp x) (exp x)) (* 1 1))))) (/ (+ (sqrt (exp (+ x x))) 1) (sqrt 1))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (147 enodes) * * [misc]simplify: iters left: 2 (448 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (exp x)) (/ (+ 1 (fabs (exp x))) (sqrt 1))) (* (cbrt (exp x)) (sqrt (- (* (exp x) (exp x)) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (cbrt (exp x)) (/ (+ 1 (fabs (exp x))) (sqrt 1))) (* (cbrt (exp x)) (sqrt (- (* (exp x) (exp x)) 1)))) (/ (/ (cbrt (exp x)) (sqrt (- (exp x) 1))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (sqrt (- (exp x) 1))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (128 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (exp x)) (sqrt (- (exp x) 1))) (/ (- (fabs (exp x)) 1) (sqrt (+ (exp x) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (cbrt (exp x)) (/ (+ 1 (fabs (exp x))) (sqrt 1))) (* (cbrt (exp x)) (sqrt (- (* (exp x) (exp x)) 1)))) (/ (/ (cbrt (exp x)) (sqrt (- (exp x) 1))) (/ (- (fabs (exp x)) 1) (sqrt (+ (exp x) 1)))))) * * * * [misc]progress: [ 313 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (/ 1 (sqrt (- (* (exp x) (exp x)) (* 1 1))))) (/ (+ (sqrt (exp (+ x x))) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (148 enodes) * * [misc]simplify: iters left: 2 (488 enodes) * [exit]simplify: Simplified to (* (* (/ (* (cbrt (exp x)) (cbrt (exp x))) (+ 1 (fabs (exp x)))) (sqrt (sqrt (+ (exp x) 1)))) (sqrt (- (* (exp x) (exp x)) 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (* (/ (* (cbrt (exp x)) (cbrt (exp x))) (+ 1 (fabs (exp x)))) (sqrt (sqrt (+ (exp x) 1)))) (sqrt (- (* (exp x) (exp x)) 1))) (/ (/ (cbrt (exp x)) (sqrt (- (exp x) 1))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (sqrt (- (exp x) 1))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (98 enodes) * * [misc]simplify: iters left: 1 (129 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ (exp x) 1))) (* (sqrt (- (exp x) 1)) (- (fabs (exp x)) 1))) (cbrt (exp x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (* (/ (* (cbrt (exp x)) (cbrt (exp x))) (+ 1 (fabs (exp x)))) (sqrt (sqrt (+ (exp x) 1)))) (sqrt (- (* (exp x) (exp x)) 1))) (* (/ (sqrt (sqrt (+ (exp x) 1))) (* (sqrt (- (exp x) 1)) (- (fabs (exp x)) 1))) (cbrt (exp x))))) * * * * [misc]progress: [ 314 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (/ 1 (sqrt (- (* (exp x) (exp x)) (* 1 1))))) (/ (+ (sqrt (exp (+ x x))) 1) 1)) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (127 enodes) * * [misc]simplify: iters left: 2 (344 enodes) * [exit]simplify: Simplified to (* (sqrt (- (* (exp x) (exp x)) 1)) (/ (* (cbrt (exp x)) (cbrt (exp x))) (+ 1 (fabs (exp x))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (sqrt (- (* (exp x) (exp x)) 1)) (/ (* (cbrt (exp x)) (cbrt (exp x))) (+ 1 (fabs (exp x))))) (/ (/ (cbrt (exp x)) (sqrt (- (exp x) 1))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (sqrt (- (exp x) 1))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (128 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (exp x)) (sqrt (- (exp x) 1))) (/ (- (fabs (exp x)) 1) (sqrt (+ (exp x) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt (- (* (exp x) (exp x)) 1)) (/ (* (cbrt (exp x)) (cbrt (exp x))) (+ 1 (fabs (exp x))))) (/ (/ (cbrt (exp x)) (sqrt (- (exp x) 1))) (/ (- (fabs (exp x)) 1) (sqrt (+ (exp x) 1)))))) * * * * [misc]progress: [ 315 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (/ 1 (sqrt (- (* (exp x) (exp x)) (* 1 1))))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (196 enodes) * * [misc]simplify: iters left: 1 (249 enodes) * [exit]simplify: Simplified to (* (sqrt (- (exp (+ x x)) 1)) (* (cbrt (exp x)) (cbrt (exp x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (sqrt (- (exp (+ x x)) 1)) (* (cbrt (exp x)) (cbrt (exp x)))) (/ (/ (cbrt (exp x)) (sqrt (- (exp x) 1))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (sqrt (- (exp x) 1))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (203 enodes) * [exit]simplify: Simplified to (* (/ (/ (cbrt (exp x)) (- (exp x) 1)) (sqrt (- (exp x) 1))) (/ (sqrt (+ (exp x) 1)) (+ (exp x) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt (- (exp (+ x x)) 1)) (* (cbrt (exp x)) (cbrt (exp x)))) (* (/ (/ (cbrt (exp x)) (- (exp x) 1)) (sqrt (- (exp x) 1))) (/ (sqrt (+ (exp x) 1)) (+ (exp x) 1))))) * * * * [misc]progress: [ 316 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (/ 1 (sqrt (- (* (exp x) (exp x)) (* 1 1))))) (- (exp (+ x x)) 1)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (121 enodes) * * [misc]simplify: iters left: 2 (435 enodes) * [exit]simplify: Simplified to (* (sqrt (- (* (exp x) (exp x)) 1)) (/ (* (cbrt (exp x)) (cbrt (exp x))) (- (* (exp x) (exp x)) 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (sqrt (- (* (exp x) (exp x)) 1)) (/ (* (cbrt (exp x)) (cbrt (exp x))) (- (* (exp x) (exp x)) 1))) (/ (/ (cbrt (exp x)) (sqrt (- (exp x) 1))) (/ 1 (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (sqrt (- (exp x) 1))) (/ 1 (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (145 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (+ (exp x) 1)) (cbrt (exp x))) (sqrt (- (exp x) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt (- (* (exp x) (exp x)) 1)) (/ (* (cbrt (exp x)) (cbrt (exp x))) (- (* (exp x) (exp x)) 1))) (/ (* (sqrt (+ (exp x) 1)) (cbrt (exp x))) (sqrt (- (exp x) 1))))) * * * * [misc]progress: [ 317 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (/ 1 (sqrt (- (* (exp x) (exp x)) (* 1 1))))) (/ (- (exp (+ x x)) 1) (sqrt (+ (pow 1 3) (pow (exp x) 3))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (197 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (- (* (exp x) (exp x)) 1)) (* (cbrt (exp x)) (cbrt (exp x)))) (/ (- (* (exp x) (exp x)) 1) (sqrt (+ 1 (pow (exp x) 3))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (sqrt (- (* (exp x) (exp x)) 1)) (* (cbrt (exp x)) (cbrt (exp x)))) (/ (- (* (exp x) (exp x)) 1) (sqrt (+ 1 (pow (exp x) 3))))) (/ (/ (cbrt (exp x)) (sqrt (- (exp x) 1))) (sqrt (+ (* 1 1) (- (* (exp x) (exp x)) (* 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (sqrt (- (exp x) 1))) (sqrt (+ (* 1 1) (- (* (exp x) (exp x)) (* 1 (exp x)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (97 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (exp x)) (sqrt (- (exp x) 1))) (sqrt (+ (exp (+ x x)) (- 1 (exp x))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (sqrt (- (* (exp x) (exp x)) 1)) (* (cbrt (exp x)) (cbrt (exp x)))) (/ (- (* (exp x) (exp x)) 1) (sqrt (+ 1 (pow (exp x) 3))))) (/ (/ (cbrt (exp x)) (sqrt (- (exp x) 1))) (sqrt (+ (exp (+ x x)) (- 1 (exp x))))))) * * * * [misc]progress: [ 318 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (/ 1 (sqrt (- (* (exp x) (exp x)) (* 1 1))))) (/ (- (exp (+ x x)) 1) (sqrt (- (* 1 1) (* (exp x) (exp x)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (192 enodes) * [exit]simplify: Simplified to (* (* (sqrt (- 1 (* (exp x) (exp x)))) (/ (cbrt (exp x)) (- (* (exp x) (exp x)) 1))) (* (cbrt (exp x)) (sqrt (- (* (exp x) (exp x)) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (* (sqrt (- 1 (* (exp x) (exp x)))) (/ (cbrt (exp x)) (- (* (exp x) (exp x)) 1))) (* (cbrt (exp x)) (sqrt (- (* (exp x) (exp x)) 1)))) (/ (/ (cbrt (exp x)) (sqrt (- (exp x) 1))) (sqrt (- 1 (exp x)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (exp x)) (sqrt (- (exp x) 1))) (sqrt (- 1 (exp x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (exp x)) (sqrt (- 1 (exp x)))) (sqrt (- (exp x) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (* (sqrt (- 1 (* (exp x) (exp x)))) (/ (cbrt (exp x)) (- (* (exp x) (exp x)) 1))) (* (cbrt (exp x)) (sqrt (- (* (exp x) (exp x)) 1)))) (/ (/ (cbrt (exp x)) (sqrt (- 1 (exp x)))) (sqrt (- (exp x) 1))))) * * * * [misc]progress: [ 319 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (* (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))) (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (108 enodes) * * [misc]simplify: iters left: 1 (151 enodes) * [exit]simplify: Simplified to (/ (sqrt (exp x)) (* (* (cbrt (/ 1 (sqrt (+ 1 (exp x))))) (cbrt (/ (- (* (exp x) (exp x)) 1) (sqrt (+ 1 (exp x)))))) (* (cbrt (/ 1 (sqrt (+ 1 (exp x))))) (cbrt (/ (- (* (exp x) (exp x)) 1) (sqrt (+ 1 (exp x)))))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (exp x)) (* (* (cbrt (/ 1 (sqrt (+ 1 (exp x))))) (cbrt (/ (- (* (exp x) (exp x)) 1) (sqrt (+ 1 (exp x)))))) (* (cbrt (/ 1 (sqrt (+ 1 (exp x))))) (cbrt (/ (- (* (exp x) (exp x)) 1) (sqrt (+ 1 (exp x)))))))) (/ (/ (sqrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (111 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (exp x)) (cbrt (/ 1 (sqrt (+ 1 (exp x)))))) (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (exp x)) (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (* (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))) (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))))) (/ (/ (sqrt (exp x)) (cbrt (/ 1 (sqrt (+ 1 (exp x)))))) (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))))) * * * * [misc]progress: [ 320 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (sqrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (84 enodes) * * [misc]simplify: iters left: 1 (124 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (exp x)) (sqrt (/ (- (* (exp x) (exp x)) 1) (sqrt (+ (exp x) 1))))) (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (sqrt (exp x)) (sqrt (/ (- (* (exp x) (exp x)) 1) (sqrt (+ (exp x) 1))))) (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (/ (sqrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (sqrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (sqrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (111 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (exp x)) (cbrt (/ 1 (sqrt (+ 1 (exp x)))))) (sqrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (exp x)) (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (sqrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) (/ (/ (sqrt (exp x)) (cbrt (/ 1 (sqrt (+ 1 (exp x)))))) (sqrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))))) * * * * [misc]progress: [ 321 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (196 enodes) * [exit]simplify: Simplified to (/ (sqrt (exp x)) (* (* (/ (cbrt (- (* (exp x) (exp x)) 1)) (cbrt (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (* (/ (cbrt (- (* (exp x) (exp x)) 1)) (cbrt (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (exp x)) (* (* (/ (cbrt (- (* (exp x) (exp x)) 1)) (cbrt (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (* (/ (cbrt (- (* (exp x) (exp x)) 1)) (cbrt (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))))) (/ (/ (sqrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (cbrt (- (exp (+ x x)) 1)) (cbrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (cbrt (- (exp (+ x x)) 1)) (cbrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (123 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (sqrt (+ (exp x) 1))) (cbrt (- (exp (+ x x)) 1))) (sqrt (exp x))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (exp x)) (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))))) (/ (* (/ (cbrt (sqrt (+ (exp x) 1))) (cbrt (- (exp (+ x x)) 1))) (sqrt (exp x))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 322 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (sqrt (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (124 enodes) * * [misc]simplify: iters left: 2 (286 enodes) * [exit]simplify: Simplified to (/ (/ (* (sqrt (exp x)) (fabs (cbrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (* (* (cbrt (- (* (exp x) (exp x)) 1)) (cbrt (- (* (exp x) (exp x)) 1))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (* (sqrt (exp x)) (fabs (cbrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (* (* (cbrt (- (* (exp x) (exp x)) 1)) (cbrt (- (* (exp x) (exp x)) 1))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (/ (sqrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (cbrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (cbrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (123 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt (cbrt (+ (exp x) 1))) (cbrt (- (exp (+ x x)) 1))) (sqrt (exp x))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (* (sqrt (exp x)) (fabs (cbrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (* (* (cbrt (- (* (exp x) (exp x)) 1)) (cbrt (- (* (exp x) (exp x)) 1))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (* (/ (sqrt (cbrt (+ (exp x) 1))) (cbrt (- (exp (+ x x)) 1))) (sqrt (exp x))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 323 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (122 enodes) * * [misc]simplify: iters left: 2 (284 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (exp x)) (cbrt (- (* (exp x) (exp x)) 1))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (* (/ (cbrt (- (* (exp x) (exp x)) 1)) (sqrt (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (/ (sqrt (exp x)) (cbrt (- (* (exp x) (exp x)) 1))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (* (/ (cbrt (- (* (exp x) (exp x)) 1)) (sqrt (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (/ (sqrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (123 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt (sqrt (+ (exp x) 1))) (cbrt (- (exp (+ x x)) 1))) (sqrt (exp x))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (exp x)) (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (sqrt (sqrt (+ 1 (exp x)))))) (/ (* (/ (sqrt (sqrt (+ (exp x) 1))) (cbrt (- (exp (+ x x)) 1))) (sqrt (exp x))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 324 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (sqrt 1))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (121 enodes) * * [misc]simplify: iters left: 2 (284 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt 1) (cbrt (- (* (exp x) (exp x)) 1))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (/ (sqrt (exp x)) (cbrt (- (* (exp x) (exp x)) 1))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (/ (sqrt 1) (cbrt (- (* (exp x) (exp x)) 1))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (/ (sqrt (exp x)) (cbrt (- (* (exp x) (exp x)) 1))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (/ (sqrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (145 enodes) * [exit]simplify: Simplified to (/ (/ (* (sqrt (exp x)) (sqrt (+ 1 (exp x)))) (cbrt (- (exp (+ x x)) 1))) (cbrt (/ 1 (sqrt (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (exp x)) (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (sqrt 1))) (/ (/ (* (sqrt (exp x)) (sqrt (+ 1 (exp x)))) (cbrt (- (exp (+ x x)) 1))) (cbrt (/ 1 (sqrt (+ 1 (exp x)))))))) * * * * [misc]progress: [ 325 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (122 enodes) * * [misc]simplify: iters left: 2 (284 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (exp x)) (cbrt (- (* (exp x) (exp x)) 1))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (* (/ (cbrt (- (* (exp x) (exp x)) 1)) (sqrt (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (/ (sqrt (exp x)) (cbrt (- (* (exp x) (exp x)) 1))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (* (/ (cbrt (- (* (exp x) (exp x)) 1)) (sqrt (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (/ (sqrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (123 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt (sqrt (+ (exp x) 1))) (cbrt (- (exp (+ x x)) 1))) (sqrt (exp x))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (exp x)) (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (sqrt (sqrt (+ 1 (exp x)))))) (/ (* (/ (sqrt (sqrt (+ (exp x) 1))) (cbrt (- (exp (+ x x)) 1))) (sqrt (exp x))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 326 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) 1)) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (259 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (* (* (cbrt (- (* (exp x) (exp x)) 1)) (cbrt (- (* (exp x) (exp x)) 1))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (sqrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (* (* (cbrt (- (* (exp x) (exp x)) 1)) (cbrt (- (* (exp x) (exp x)) 1))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (/ (sqrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (145 enodes) * [exit]simplify: Simplified to (/ (/ (* (sqrt (exp x)) (sqrt (+ 1 (exp x)))) (cbrt (- (exp (+ x x)) 1))) (cbrt (/ 1 (sqrt (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (exp x)) (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) 1)) (/ (/ (* (sqrt (exp x)) (sqrt (+ 1 (exp x)))) (cbrt (- (exp (+ x x)) 1))) (cbrt (/ 1 (sqrt (+ 1 (exp x)))))))) * * * * [misc]progress: [ 327 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (sqrt (- (exp (+ x x)) 1)) (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (113 enodes) * * [misc]simplify: iters left: 2 (265 enodes) * [exit]simplify: Simplified to (* (/ (* (cbrt (sqrt (+ (exp x) 1))) (cbrt (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (/ (sqrt (exp x)) (sqrt (- (* (exp x) (exp x)) 1))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (* (cbrt (sqrt (+ (exp x) 1))) (cbrt (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (/ (sqrt (exp x)) (sqrt (- (* (exp x) (exp x)) 1))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (/ (sqrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (cbrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (cbrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (123 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (sqrt (+ (exp x) 1))) (sqrt (- (exp (+ x x)) 1))) (sqrt (exp x))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (exp x)) (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (sqrt (- (exp (+ x x)) 1)) (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))))) (/ (* (/ (cbrt (sqrt (+ (exp x) 1))) (sqrt (- (exp (+ x x)) 1))) (sqrt (exp x))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 328 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (151 enodes) * * [misc]simplify: iters left: 1 (232 enodes) * [exit]simplify: Simplified to (/ (/ (fabs (cbrt (+ 1 (exp x)))) (cbrt (/ 1 (sqrt (+ 1 (exp x)))))) (/ (cbrt (/ 1 (sqrt (+ 1 (exp x))))) (/ (sqrt (exp x)) (sqrt (- (* (exp x) (exp x)) 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (fabs (cbrt (+ 1 (exp x)))) (cbrt (/ 1 (sqrt (+ 1 (exp x)))))) (/ (cbrt (/ 1 (sqrt (+ 1 (exp x))))) (/ (sqrt (exp x)) (sqrt (- (* (exp x) (exp x)) 1))))) (/ (/ (sqrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (cbrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (cbrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (123 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt (cbrt (+ (exp x) 1))) (sqrt (- (exp (+ x x)) 1))) (sqrt (exp x))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (fabs (cbrt (+ 1 (exp x)))) (cbrt (/ 1 (sqrt (+ 1 (exp x)))))) (/ (cbrt (/ 1 (sqrt (+ 1 (exp x))))) (/ (sqrt (exp x)) (sqrt (- (* (exp x) (exp x)) 1))))) (/ (* (/ (sqrt (cbrt (+ (exp x) 1))) (sqrt (- (exp (+ x x)) 1))) (sqrt (exp x))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 329 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (149 enodes) * * [misc]simplify: iters left: 1 (230 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt (sqrt (+ 1 (exp x)))) (sqrt (- (* (exp x) (exp x)) 1))) (sqrt (exp x))) (* (cbrt (/ 1 (sqrt (+ 1 (exp x))))) (cbrt (/ 1 (sqrt (+ 1 (exp x))))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (/ (sqrt (sqrt (+ 1 (exp x)))) (sqrt (- (* (exp x) (exp x)) 1))) (sqrt (exp x))) (* (cbrt (/ 1 (sqrt (+ 1 (exp x))))) (cbrt (/ 1 (sqrt (+ 1 (exp x))))))) (/ (/ (sqrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (123 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt (sqrt (+ (exp x) 1))) (sqrt (- (exp (+ x x)) 1))) (sqrt (exp x))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (exp x)) (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))) (/ (* (/ (sqrt (sqrt (+ (exp x) 1))) (sqrt (- (exp (+ x x)) 1))) (sqrt (exp x))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 330 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt 1))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (148 enodes) * * [misc]simplify: iters left: 1 (229 enodes) * [exit]simplify: Simplified to (/ (/ (* (sqrt (exp x)) (sqrt 1)) (sqrt (- (* (exp x) (exp x)) 1))) (* (cbrt (/ 1 (sqrt (+ 1 (exp x))))) (cbrt (/ 1 (sqrt (+ 1 (exp x))))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (* (sqrt (exp x)) (sqrt 1)) (sqrt (- (* (exp x) (exp x)) 1))) (* (cbrt (/ 1 (sqrt (+ 1 (exp x))))) (cbrt (/ 1 (sqrt (+ 1 (exp x))))))) (/ (/ (sqrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (145 enodes) * [exit]simplify: Simplified to (/ (/ (* (sqrt (exp x)) (sqrt (+ 1 (exp x)))) (sqrt (- (exp (+ x x)) 1))) (cbrt (/ 1 (sqrt (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (exp x)) (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt 1))) (/ (/ (* (sqrt (exp x)) (sqrt (+ 1 (exp x)))) (sqrt (- (exp (+ x x)) 1))) (cbrt (/ 1 (sqrt (+ 1 (exp x)))))))) * * * * [misc]progress: [ 331 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (149 enodes) * * [misc]simplify: iters left: 1 (230 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt (sqrt (+ 1 (exp x)))) (sqrt (- (* (exp x) (exp x)) 1))) (sqrt (exp x))) (* (cbrt (/ 1 (sqrt (+ 1 (exp x))))) (cbrt (/ 1 (sqrt (+ 1 (exp x))))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (/ (sqrt (sqrt (+ 1 (exp x)))) (sqrt (- (* (exp x) (exp x)) 1))) (sqrt (exp x))) (* (cbrt (/ 1 (sqrt (+ 1 (exp x))))) (cbrt (/ 1 (sqrt (+ 1 (exp x))))))) (/ (/ (sqrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (123 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt (sqrt (+ (exp x) 1))) (sqrt (- (exp (+ x x)) 1))) (sqrt (exp x))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (exp x)) (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))) (/ (* (/ (sqrt (sqrt (+ (exp x) 1))) (sqrt (- (exp (+ x x)) 1))) (sqrt (exp x))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 332 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (sqrt (- (exp (+ x x)) 1)) 1)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (133 enodes) * * [misc]simplify: iters left: 1 (309 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (* (sqrt (- (* (exp x) (exp x)) 1)) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (sqrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (* (sqrt (- (* (exp x) (exp x)) 1)) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (/ (sqrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (145 enodes) * [exit]simplify: Simplified to (/ (/ (* (sqrt (exp x)) (sqrt (+ 1 (exp x)))) (sqrt (- (exp (+ x x)) 1))) (cbrt (/ 1 (sqrt (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (* (sqrt (- (* (exp x) (exp x)) 1)) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (/ (* (sqrt (exp x)) (sqrt (+ 1 (exp x)))) (sqrt (- (exp (+ x x)) 1))) (cbrt (/ 1 (sqrt (+ 1 (exp x)))))))) * * * * [misc]progress: [ 333 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ 1 (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (119 enodes) * * [misc]simplify: iters left: 2 (300 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (sqrt (+ (exp x) 1))) (sqrt (exp x))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (* (cbrt (sqrt (+ (exp x) 1))) (sqrt (exp x))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (sqrt (+ (exp x) 1))))) (/ (/ (sqrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp (+ x x)) 1) (cbrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp (+ x x)) 1) (cbrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (170 enodes) * * [misc]simplify: iters left: 1 (369 enodes) * [exit]simplify: Simplified to (/ (* (/ (/ (sqrt (exp x)) (+ 1 (exp x))) (- (exp x) 1)) (cbrt (sqrt (+ 1 (exp x))))) (cbrt (/ 1 (sqrt (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (* (cbrt (sqrt (+ (exp x) 1))) (sqrt (exp x))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (sqrt (+ (exp x) 1))))) (/ (* (/ (/ (sqrt (exp x)) (+ 1 (exp x))) (- (exp x) 1)) (cbrt (sqrt (+ 1 (exp x))))) (cbrt (/ 1 (sqrt (+ 1 (exp x)))))))) * * * * [misc]progress: [ 334 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ 1 (sqrt (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (137 enodes) * * [misc]simplify: iters left: 1 (236 enodes) * [exit]simplify: Simplified to (* (/ (fabs (cbrt (+ (exp x) 1))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (fabs (cbrt (+ (exp x) 1))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (/ (sqrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp (+ x x)) 1) (sqrt (cbrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp (+ x x)) 1) (sqrt (cbrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (170 enodes) * * [misc]simplify: iters left: 1 (369 enodes) * [exit]simplify: Simplified to (/ (* (/ (/ (sqrt (exp x)) (+ 1 (exp x))) (- (exp x) 1)) (sqrt (cbrt (+ 1 (exp x))))) (cbrt (/ 1 (sqrt (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (fabs (cbrt (+ (exp x) 1))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (* (/ (/ (sqrt (exp x)) (+ 1 (exp x))) (- (exp x) 1)) (sqrt (cbrt (+ 1 (exp x))))) (cbrt (/ 1 (sqrt (+ 1 (exp x)))))))) * * * * [misc]progress: [ 335 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ 1 (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (135 enodes) * * [misc]simplify: iters left: 1 (269 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ (exp x) 1))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (sqrt (sqrt (+ (exp x) 1))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (/ (sqrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp (+ x x)) 1) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp (+ x x)) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (170 enodes) * * [misc]simplify: iters left: 1 (369 enodes) * [exit]simplify: Simplified to (/ (* (/ (/ (sqrt (exp x)) (+ 1 (exp x))) (- (exp x) 1)) (sqrt (sqrt (+ 1 (exp x))))) (cbrt (/ 1 (sqrt (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (sqrt (sqrt (+ (exp x) 1))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (* (/ (/ (sqrt (exp x)) (+ 1 (exp x))) (- (exp x) 1)) (sqrt (sqrt (+ 1 (exp x))))) (cbrt (/ 1 (sqrt (+ 1 (exp x)))))))) * * * * [misc]progress: [ 336 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ 1 (sqrt 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (135 enodes) * * [misc]simplify: iters left: 1 (291 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt 1) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (sqrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt 1) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (/ (sqrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (202 enodes) * * [misc]simplify: iters left: 1 (448 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt (exp x)) (- (exp x) 1)) (/ (sqrt (+ (exp x) 1)) (+ (exp x) 1))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (sqrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt 1) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (* (/ (sqrt (exp x)) (- (exp x) 1)) (/ (sqrt (+ (exp x) 1)) (+ (exp x) 1))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 337 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ 1 (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (135 enodes) * * [misc]simplify: iters left: 1 (269 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ (exp x) 1))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (sqrt (sqrt (+ (exp x) 1))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (/ (sqrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp (+ x x)) 1) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp (+ x x)) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (170 enodes) * * [misc]simplify: iters left: 1 (369 enodes) * [exit]simplify: Simplified to (/ (* (/ (/ (sqrt (exp x)) (+ 1 (exp x))) (- (exp x) 1)) (sqrt (sqrt (+ 1 (exp x))))) (cbrt (/ 1 (sqrt (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (sqrt (sqrt (+ (exp x) 1))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (* (/ (/ (sqrt (exp x)) (+ 1 (exp x))) (- (exp x) 1)) (sqrt (sqrt (+ 1 (exp x))))) (cbrt (/ 1 (sqrt (+ 1 (exp x)))))))) * * * * [misc]progress: [ 338 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ 1 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (sqrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (/ (sqrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (202 enodes) * * [misc]simplify: iters left: 1 (448 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt (exp x)) (- (exp x) 1)) (/ (sqrt (+ (exp x) 1)) (+ (exp x) 1))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (* (/ (sqrt (exp x)) (- (exp x) 1)) (/ (sqrt (+ (exp x) 1)) (+ (exp x) 1))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 339 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (+ (exp x) 1) (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (253 enodes) * [exit]simplify: Simplified to (/ (/ (* (sqrt (exp x)) (cbrt (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (/ (+ (exp x) 1) (cbrt (sqrt (+ (exp x) 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (* (sqrt (exp x)) (cbrt (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (/ (+ (exp x) 1) (cbrt (sqrt (+ (exp x) 1)))))) (/ (/ (sqrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp x) 1) (cbrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp x) 1) (cbrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (123 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt (exp x)) (- (exp x) 1)) (cbrt (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (exp x)) (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (+ (exp x) 1) (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))))) (/ (* (/ (sqrt (exp x)) (- (exp x) 1)) (cbrt (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 340 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (+ (exp x) 1) (sqrt (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (140 enodes) * * [misc]simplify: iters left: 1 (367 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (* (/ (+ (exp x) 1) (fabs (cbrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (sqrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (* (/ (+ (exp x) 1) (fabs (cbrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (/ (sqrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp x) 1) (sqrt (cbrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp x) 1) (sqrt (cbrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (123 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt (exp x)) (- (exp x) 1)) (sqrt (cbrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (* (/ (+ (exp x) 1) (fabs (cbrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (* (/ (sqrt (exp x)) (- (exp x) 1)) (sqrt (cbrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 341 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (+ (exp x) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (138 enodes) * * [misc]simplify: iters left: 1 (361 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt (sqrt (+ (exp x) 1))) (+ (exp x) 1)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (/ (sqrt (sqrt (+ (exp x) 1))) (+ (exp x) 1)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (/ (sqrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp x) 1) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp x) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (123 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt (exp x)) (- (exp x) 1)) (sqrt (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (exp x)) (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (+ (exp x) 1) (sqrt (sqrt (+ 1 (exp x)))))) (/ (* (/ (sqrt (exp x)) (- (exp x) 1)) (sqrt (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 342 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (+ (exp x) 1) (sqrt 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (137 enodes) * * [misc]simplify: iters left: 1 (364 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt 1) (+ (exp x) 1)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (/ (sqrt 1) (+ (exp x) 1)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (/ (sqrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp x) 1) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp x) 1) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (111 enodes) * * [misc]simplify: iters left: 1 (162 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt (exp x)) (- (exp x) 1)) (sqrt (+ (exp x) 1))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (exp x)) (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (+ (exp x) 1) (sqrt 1))) (/ (* (/ (sqrt (exp x)) (- (exp x) 1)) (sqrt (+ (exp x) 1))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 343 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (+ (exp x) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (138 enodes) * * [misc]simplify: iters left: 1 (361 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt (sqrt (+ (exp x) 1))) (+ (exp x) 1)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (/ (sqrt (sqrt (+ (exp x) 1))) (+ (exp x) 1)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (/ (sqrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp x) 1) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp x) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (123 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt (exp x)) (- (exp x) 1)) (sqrt (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (exp x)) (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (+ (exp x) 1) (sqrt (sqrt (+ 1 (exp x)))))) (/ (* (/ (sqrt (exp x)) (- (exp x) 1)) (sqrt (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 344 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (+ (exp x) 1) 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (123 enodes) * * [misc]simplify: iters left: 1 (287 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (exp x)) (cbrt (/ 1 (sqrt (+ 1 (exp x)))))) (* (cbrt (/ 1 (sqrt (+ 1 (exp x))))) (+ 1 (exp x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (sqrt (exp x)) (cbrt (/ 1 (sqrt (+ 1 (exp x)))))) (* (cbrt (/ 1 (sqrt (+ 1 (exp x))))) (+ 1 (exp x)))) (/ (/ (sqrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp x) 1) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp x) 1) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (111 enodes) * * [misc]simplify: iters left: 1 (162 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt (exp x)) (- (exp x) 1)) (sqrt (+ (exp x) 1))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (exp x)) (cbrt (/ 1 (sqrt (+ 1 (exp x)))))) (* (cbrt (/ 1 (sqrt (+ 1 (exp x))))) (+ 1 (exp x)))) (/ (* (/ (sqrt (exp x)) (- (exp x) 1)) (sqrt (+ (exp x) 1))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 345 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (+ (sqrt (exp (+ x x))) 1) (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (261 enodes) * [exit]simplify: Simplified to (* (/ (* (cbrt (sqrt (+ (exp x) 1))) (cbrt (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (/ (sqrt (exp x)) (+ 1 (fabs (exp x)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (* (cbrt (sqrt (+ (exp x) 1))) (cbrt (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (/ (sqrt (exp x)) (+ 1 (fabs (exp x)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (/ (sqrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (sqrt (exp (+ x x))) 1) (cbrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (sqrt (exp (+ x x))) 1) (cbrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (130 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt (exp x)) (- (fabs (exp x)) 1)) (cbrt (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (* (cbrt (sqrt (+ (exp x) 1))) (cbrt (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (/ (sqrt (exp x)) (+ 1 (fabs (exp x)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (* (/ (sqrt (exp x)) (- (fabs (exp x)) 1)) (cbrt (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 346 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (+ (sqrt (exp (+ x x))) 1) (sqrt (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (147 enodes) * * [misc]simplify: iters left: 1 (374 enodes) * [exit]simplify: Simplified to (* (/ (fabs (cbrt (+ (exp x) 1))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (/ (sqrt (exp x)) (+ 1 (fabs (exp x)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (fabs (cbrt (+ (exp x) 1))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (/ (sqrt (exp x)) (+ 1 (fabs (exp x)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (/ (sqrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (cbrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (cbrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (130 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt (exp x)) (- (fabs (exp x)) 1)) (sqrt (cbrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (fabs (cbrt (+ (exp x) 1))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (/ (sqrt (exp x)) (+ 1 (fabs (exp x)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (* (/ (sqrt (exp x)) (- (fabs (exp x)) 1)) (sqrt (cbrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 347 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (+ (sqrt (exp (+ x x))) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (145 enodes) * * [misc]simplify: iters left: 1 (372 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt (exp x)) (+ 1 (fabs (exp x)))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (sqrt (+ (exp x) 1))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (/ (sqrt (exp x)) (+ 1 (fabs (exp x)))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (sqrt (+ (exp x) 1))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (/ (sqrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (130 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt (exp x)) (- (fabs (exp x)) 1)) (sqrt (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (/ (sqrt (exp x)) (+ 1 (fabs (exp x)))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (sqrt (+ (exp x) 1))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (* (/ (sqrt (exp x)) (- (fabs (exp x)) 1)) (sqrt (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 348 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (+ (sqrt (exp (+ x x))) 1) (sqrt 1))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (143 enodes) * * [misc]simplify: iters left: 1 (366 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (/ (sqrt 1) (+ 1 (fabs (exp x)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (sqrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (/ (sqrt 1) (+ 1 (fabs (exp x)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (/ (sqrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (113 enodes) * * [misc]simplify: iters left: 1 (163 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt (+ (exp x) 1)) (- (fabs (exp x)) 1)) (sqrt (exp x))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (sqrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (/ (sqrt 1) (+ 1 (fabs (exp x)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (* (/ (sqrt (+ (exp x) 1)) (- (fabs (exp x)) 1)) (sqrt (exp x))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 349 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (+ (sqrt (exp (+ x x))) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (145 enodes) * * [misc]simplify: iters left: 1 (372 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt (exp x)) (+ 1 (fabs (exp x)))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (sqrt (+ (exp x) 1))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (/ (sqrt (exp x)) (+ 1 (fabs (exp x)))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (sqrt (+ (exp x) 1))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (/ (sqrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (130 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt (exp x)) (- (fabs (exp x)) 1)) (sqrt (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (/ (sqrt (exp x)) (+ 1 (fabs (exp x)))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (sqrt (+ (exp x) 1))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (* (/ (sqrt (exp x)) (- (fabs (exp x)) 1)) (sqrt (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 350 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (+ (sqrt (exp (+ x x))) 1) 1)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (131 enodes) * * [misc]simplify: iters left: 1 (296 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (exp x)) (+ 1 (fabs (exp x)))) (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (sqrt (exp x)) (+ 1 (fabs (exp x)))) (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (/ (sqrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (113 enodes) * * [misc]simplify: iters left: 1 (163 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt (+ (exp x) 1)) (- (fabs (exp x)) 1)) (sqrt (exp x))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (exp x)) (+ 1 (fabs (exp x)))) (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (* (/ (sqrt (+ (exp x) 1)) (- (fabs (exp x)) 1)) (sqrt (exp x))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 351 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (sqrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (/ (sqrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (202 enodes) * * [misc]simplify: iters left: 1 (448 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt (exp x)) (- (exp x) 1)) (/ (sqrt (+ (exp x) 1)) (+ (exp x) 1))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (* (/ (sqrt (exp x)) (- (exp x) 1)) (/ (sqrt (+ (exp x) 1)) (+ (exp x) 1))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 352 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (- (exp (+ x x)) 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (127 enodes) * * [misc]simplify: iters left: 1 (355 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (exp x)) (cbrt (/ 1 (sqrt (+ 1 (exp x)))))) (* (cbrt (/ 1 (sqrt (+ 1 (exp x))))) (- (* (exp x) (exp x)) 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (sqrt (exp x)) (cbrt (/ 1 (sqrt (+ 1 (exp x)))))) (* (cbrt (/ 1 (sqrt (+ 1 (exp x))))) (- (* (exp x) (exp x)) 1))) (/ (/ (sqrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ 1 (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ 1 (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (91 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (exp x)) (sqrt (+ (exp x) 1))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (exp x)) (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (- (exp (+ x x)) 1)) (/ (* (sqrt (exp x)) (sqrt (+ (exp x) 1))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 353 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (- (exp (+ x x)) 1) (sqrt (+ (pow 1 3) (pow (exp x) 3))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (118 enodes) * * [misc]simplify: iters left: 2 (302 enodes) * [exit]simplify: Simplified to (/ (/ (* (sqrt (+ 1 (pow (exp x) 3))) (sqrt (exp x))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (* (- (* (exp x) (exp x)) 1) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (* (sqrt (+ 1 (pow (exp x) 3))) (sqrt (exp x))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (* (- (* (exp x) (exp x)) 1) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (/ (sqrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (sqrt (+ (* 1 1) (- (* (exp x) (exp x)) (* 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (sqrt (+ (* 1 1) (- (* (exp x) (exp x)) (* 1 (exp x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (100 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (exp x)) (sqrt (+ (- 1 (exp x)) (* (exp x) (exp x))))) (cbrt (/ 1 (sqrt (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (* (sqrt (+ 1 (pow (exp x) 3))) (sqrt (exp x))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (* (- (* (exp x) (exp x)) 1) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (/ (sqrt (exp x)) (sqrt (+ (- 1 (exp x)) (* (exp x) (exp x))))) (cbrt (/ 1 (sqrt (+ 1 (exp x)))))))) * * * * [misc]progress: [ 354 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (- (exp (+ x x)) 1) (sqrt (- (* 1 1) (* (exp x) (exp x)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (113 enodes) * * [misc]simplify: iters left: 2 (296 enodes) * [exit]simplify: Simplified to (/ (/ (* (/ (sqrt (exp x)) (- (* (exp x) (exp x)) 1)) (sqrt (- 1 (* (exp x) (exp x))))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (* (/ (sqrt (exp x)) (- (* (exp x) (exp x)) 1)) (sqrt (- 1 (* (exp x) (exp x))))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (/ (sqrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (sqrt (- 1 (exp x)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (sqrt (- 1 (exp x)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (exp x)) (sqrt (- 1 (exp x)))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (* (/ (sqrt (exp x)) (- (* (exp x) (exp x)) 1)) (sqrt (- 1 (* (exp x) (exp x))))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (/ (sqrt (exp x)) (sqrt (- 1 (exp x)))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 355 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (* (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))) (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (123 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (exp x)) (sqrt (/ 1 (sqrt (+ 1 (exp x)))))) (* (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))) (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (sqrt (exp x)) (sqrt (/ 1 (sqrt (+ 1 (exp x)))))) (* (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))) (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))))) (/ (/ (sqrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (111 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (exp x)) (sqrt (/ 1 (sqrt (+ 1 (exp x)))))) (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (* (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))) (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))))) (/ (/ (sqrt (exp x)) (sqrt (/ 1 (sqrt (+ 1 (exp x)))))) (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))))) * * * * [misc]progress: [ 356 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (sqrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (111 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (exp x)) (sqrt (/ 1 (sqrt (+ 1 (exp x)))))) (sqrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (sqrt (exp x)) (sqrt (/ 1 (sqrt (+ 1 (exp x)))))) (sqrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) (/ (/ (sqrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (sqrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (sqrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (111 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (exp x)) (sqrt (/ 1 (sqrt (+ 1 (exp x)))))) (sqrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (sqrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) (/ (/ (sqrt (exp x)) (sqrt (/ 1 (sqrt (+ 1 (exp x)))))) (sqrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))))) * * * * [misc]progress: [ 357 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (156 enodes) * * [misc]simplify: iters left: 2 (333 enodes) * [exit]simplify: Simplified to (* (/ (/ (cbrt (sqrt (+ (exp x) 1))) (cbrt (- (exp (+ x x)) 1))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (* (/ (cbrt (sqrt (+ (exp x) 1))) (cbrt (- (exp (+ x x)) 1))) (sqrt (exp x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (/ (cbrt (sqrt (+ (exp x) 1))) (cbrt (- (exp (+ x x)) 1))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (* (/ (cbrt (sqrt (+ (exp x) 1))) (cbrt (- (exp (+ x x)) 1))) (sqrt (exp x)))) (/ (/ (sqrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (cbrt (- (exp (+ x x)) 1)) (cbrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (cbrt (- (exp (+ x x)) 1)) (cbrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (123 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (sqrt (+ (exp x) 1))) (cbrt (- (exp (+ x x)) 1))) (sqrt (exp x))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))))) (/ (* (/ (cbrt (sqrt (+ (exp x) 1))) (cbrt (- (exp (+ x x)) 1))) (sqrt (exp x))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 358 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (sqrt (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (171 enodes) * * [misc]simplify: iters left: 1 (246 enodes) * [exit]simplify: Simplified to (* (/ (fabs (cbrt (+ 1 (exp x)))) (sqrt (/ 1 (sqrt (+ 1 (exp x)))))) (/ (/ (sqrt (exp x)) (cbrt (- (exp (+ x x)) 1))) (cbrt (- (exp (+ x x)) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (fabs (cbrt (+ 1 (exp x)))) (sqrt (/ 1 (sqrt (+ 1 (exp x)))))) (/ (/ (sqrt (exp x)) (cbrt (- (exp (+ x x)) 1))) (cbrt (- (exp (+ x x)) 1)))) (/ (/ (sqrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (cbrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (cbrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (123 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt (cbrt (+ (exp x) 1))) (cbrt (- (exp (+ x x)) 1))) (sqrt (exp x))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (fabs (cbrt (+ 1 (exp x)))) (sqrt (/ 1 (sqrt (+ 1 (exp x)))))) (/ (/ (sqrt (exp x)) (cbrt (- (exp (+ x x)) 1))) (cbrt (- (exp (+ x x)) 1)))) (/ (* (/ (sqrt (cbrt (+ (exp x) 1))) (cbrt (- (exp (+ x x)) 1))) (sqrt (exp x))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 359 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (168 enodes) * * [misc]simplify: iters left: 1 (243 enodes) * [exit]simplify: Simplified to (/ (/ (* (sqrt (exp x)) (sqrt (sqrt (+ (exp x) 1)))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (* (sqrt (exp x)) (sqrt (sqrt (+ (exp x) 1)))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1)))) (/ (/ (sqrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (123 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt (sqrt (+ (exp x) 1))) (cbrt (- (exp (+ x x)) 1))) (sqrt (exp x))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (sqrt (sqrt (+ 1 (exp x)))))) (/ (* (/ (sqrt (sqrt (+ (exp x) 1))) (cbrt (- (exp (+ x x)) 1))) (sqrt (exp x))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 360 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (sqrt 1))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (167 enodes) * * [misc]simplify: iters left: 1 (241 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (exp x)) (cbrt (- (exp (+ x x)) 1))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (/ (sqrt (exp x)) (cbrt (- (exp (+ x x)) 1))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt 1))) (/ (/ (sqrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (145 enodes) * [exit]simplify: Simplified to (/ (/ (* (sqrt (exp x)) (sqrt (+ 1 (exp x)))) (cbrt (- (exp (+ x x)) 1))) (sqrt (/ 1 (sqrt (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (sqrt 1))) (/ (/ (* (sqrt (exp x)) (sqrt (+ 1 (exp x)))) (cbrt (- (exp (+ x x)) 1))) (sqrt (/ 1 (sqrt (+ 1 (exp x)))))))) * * * * [misc]progress: [ 361 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (168 enodes) * * [misc]simplify: iters left: 1 (243 enodes) * [exit]simplify: Simplified to (/ (/ (* (sqrt (exp x)) (sqrt (sqrt (+ (exp x) 1)))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (* (sqrt (exp x)) (sqrt (sqrt (+ (exp x) 1)))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1)))) (/ (/ (sqrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (123 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt (sqrt (+ (exp x) 1))) (cbrt (- (exp (+ x x)) 1))) (sqrt (exp x))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (sqrt (sqrt (+ 1 (exp x)))))) (/ (* (/ (sqrt (sqrt (+ (exp x) 1))) (cbrt (- (exp (+ x x)) 1))) (sqrt (exp x))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 362 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) 1)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (175 enodes) * * [misc]simplify: iters left: 1 (410 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (exp x)) (cbrt (- (exp (+ x x)) 1))) (* (cbrt (- (exp (+ x x)) 1)) (sqrt (/ 1 (sqrt (+ 1 (exp x))))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (sqrt (exp x)) (cbrt (- (exp (+ x x)) 1))) (* (cbrt (- (exp (+ x x)) 1)) (sqrt (/ 1 (sqrt (+ 1 (exp x))))))) (/ (/ (sqrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (145 enodes) * [exit]simplify: Simplified to (/ (/ (* (sqrt (exp x)) (sqrt (+ 1 (exp x)))) (cbrt (- (exp (+ x x)) 1))) (sqrt (/ 1 (sqrt (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (exp x)) (cbrt (- (exp (+ x x)) 1))) (* (cbrt (- (exp (+ x x)) 1)) (sqrt (/ 1 (sqrt (+ 1 (exp x))))))) (/ (/ (* (sqrt (exp x)) (sqrt (+ 1 (exp x)))) (cbrt (- (exp (+ x x)) 1))) (sqrt (/ 1 (sqrt (+ 1 (exp x)))))))) * * * * [misc]progress: [ 363 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (153 enodes) * * [misc]simplify: iters left: 1 (247 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (sqrt (+ (exp x) 1))) (sqrt (- (exp (+ x x)) 1))) (sqrt (exp x))) (/ (sqrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (/ (cbrt (sqrt (+ (exp x) 1))) (sqrt (- (exp (+ x x)) 1))) (sqrt (exp x))) (/ (sqrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (sqrt (+ (exp x) 1))))) (/ (/ (sqrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (cbrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (cbrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (123 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (sqrt (+ (exp x) 1))) (sqrt (- (exp (+ x x)) 1))) (sqrt (exp x))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))))) (/ (* (/ (cbrt (sqrt (+ (exp x) 1))) (sqrt (- (exp (+ x x)) 1))) (sqrt (exp x))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 364 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (125 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt (exp x)) (sqrt (- (exp (+ x x)) 1))) (fabs (cbrt (+ (exp x) 1)))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (/ (sqrt (exp x)) (sqrt (- (exp (+ x x)) 1))) (fabs (cbrt (+ (exp x) 1)))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (/ (sqrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (cbrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (cbrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (123 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt (cbrt (+ (exp x) 1))) (sqrt (- (exp (+ x x)) 1))) (sqrt (exp x))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (/ (sqrt (exp x)) (sqrt (- (exp (+ x x)) 1))) (fabs (cbrt (+ (exp x) 1)))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (* (/ (sqrt (cbrt (+ (exp x) 1))) (sqrt (- (exp (+ x x)) 1))) (sqrt (exp x))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 365 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (123 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt (sqrt (+ (exp x) 1))) (sqrt (- (exp (+ x x)) 1))) (sqrt (exp x))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (/ (sqrt (sqrt (+ (exp x) 1))) (sqrt (- (exp (+ x x)) 1))) (sqrt (exp x))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (/ (sqrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (123 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt (sqrt (+ (exp x) 1))) (sqrt (- (exp (+ x x)) 1))) (sqrt (exp x))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))) (/ (* (/ (sqrt (sqrt (+ (exp x) 1))) (sqrt (- (exp (+ x x)) 1))) (sqrt (exp x))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 366 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (122 enodes) * [exit]simplify: Simplified to (/ (/ (* (sqrt (exp x)) (sqrt 1)) (sqrt (- (exp (+ x x)) 1))) (sqrt (/ 1 (sqrt (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (* (sqrt (exp x)) (sqrt 1)) (sqrt (- (exp (+ x x)) 1))) (sqrt (/ 1 (sqrt (+ 1 (exp x)))))) (/ (/ (sqrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (145 enodes) * [exit]simplify: Simplified to (/ (/ (* (sqrt (exp x)) (sqrt (+ 1 (exp x)))) (sqrt (- (exp (+ x x)) 1))) (sqrt (/ 1 (sqrt (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt 1))) (/ (/ (* (sqrt (exp x)) (sqrt (+ 1 (exp x)))) (sqrt (- (exp (+ x x)) 1))) (sqrt (/ 1 (sqrt (+ 1 (exp x)))))))) * * * * [misc]progress: [ 367 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (123 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt (sqrt (+ (exp x) 1))) (sqrt (- (exp (+ x x)) 1))) (sqrt (exp x))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (/ (sqrt (sqrt (+ (exp x) 1))) (sqrt (- (exp (+ x x)) 1))) (sqrt (exp x))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (/ (sqrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (123 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt (sqrt (+ (exp x) 1))) (sqrt (- (exp (+ x x)) 1))) (sqrt (exp x))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))) (/ (* (/ (sqrt (sqrt (+ (exp x) 1))) (sqrt (- (exp (+ x x)) 1))) (sqrt (exp x))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 368 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) 1)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (84 enodes) * * [misc]simplify: iters left: 1 (152 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (exp x)) (sqrt (- (exp (+ x x)) 1))) (sqrt (/ 1 (sqrt (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (sqrt (exp x)) (sqrt (- (exp (+ x x)) 1))) (sqrt (/ 1 (sqrt (+ 1 (exp x)))))) (/ (/ (sqrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (145 enodes) * [exit]simplify: Simplified to (/ (/ (* (sqrt (exp x)) (sqrt (+ 1 (exp x)))) (sqrt (- (exp (+ x x)) 1))) (sqrt (/ 1 (sqrt (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (exp x)) (sqrt (- (exp (+ x x)) 1))) (sqrt (/ 1 (sqrt (+ 1 (exp x)))))) (/ (/ (* (sqrt (exp x)) (sqrt (+ 1 (exp x)))) (sqrt (- (exp (+ x x)) 1))) (sqrt (/ 1 (sqrt (+ 1 (exp x)))))))) * * * * [misc]progress: [ 369 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ 1 (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (167 enodes) * * [misc]simplify: iters left: 1 (468 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (+ (exp x) 1))) (* (cbrt (sqrt (+ (exp x) 1))) (sqrt (exp x)))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (cbrt (sqrt (+ (exp x) 1))) (* (cbrt (sqrt (+ (exp x) 1))) (sqrt (exp x)))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (/ (sqrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp (+ x x)) 1) (cbrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp (+ x x)) 1) (cbrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (170 enodes) * * [misc]simplify: iters left: 1 (369 enodes) * [exit]simplify: Simplified to (/ (* (/ (/ (sqrt (exp x)) (+ 1 (exp x))) (- (exp x) 1)) (cbrt (sqrt (+ 1 (exp x))))) (sqrt (/ 1 (sqrt (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (cbrt (sqrt (+ (exp x) 1))) (* (cbrt (sqrt (+ (exp x) 1))) (sqrt (exp x)))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (* (/ (/ (sqrt (exp x)) (+ 1 (exp x))) (- (exp x) 1)) (cbrt (sqrt (+ 1 (exp x))))) (sqrt (/ 1 (sqrt (+ 1 (exp x)))))))) * * * * [misc]progress: [ 370 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ 1 (sqrt (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (93 enodes) * [exit]simplify: Simplified to (/ (* (fabs (cbrt (+ (exp x) 1))) (sqrt (exp x))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (fabs (cbrt (+ (exp x) 1))) (sqrt (exp x))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (/ (sqrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp (+ x x)) 1) (sqrt (cbrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp (+ x x)) 1) (sqrt (cbrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (170 enodes) * * [misc]simplify: iters left: 1 (369 enodes) * [exit]simplify: Simplified to (/ (* (/ (/ (sqrt (exp x)) (+ 1 (exp x))) (- (exp x) 1)) (sqrt (cbrt (+ 1 (exp x))))) (sqrt (/ 1 (sqrt (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (fabs (cbrt (+ (exp x) 1))) (sqrt (exp x))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (* (/ (/ (sqrt (exp x)) (+ 1 (exp x))) (- (exp x) 1)) (sqrt (cbrt (+ 1 (exp x))))) (sqrt (/ 1 (sqrt (+ 1 (exp x)))))))) * * * * [misc]progress: [ 371 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ 1 (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (167 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (sqrt (+ (exp x) 1))) (sqrt (exp x))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (sqrt (sqrt (+ (exp x) 1))) (sqrt (exp x))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (/ (sqrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp (+ x x)) 1) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp (+ x x)) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (170 enodes) * * [misc]simplify: iters left: 1 (369 enodes) * [exit]simplify: Simplified to (/ (* (/ (/ (sqrt (exp x)) (+ 1 (exp x))) (- (exp x) 1)) (sqrt (sqrt (+ 1 (exp x))))) (sqrt (/ 1 (sqrt (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (sqrt (sqrt (+ (exp x) 1))) (sqrt (exp x))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (* (/ (/ (sqrt (exp x)) (+ 1 (exp x))) (- (exp x) 1)) (sqrt (sqrt (+ 1 (exp x))))) (sqrt (/ 1 (sqrt (+ 1 (exp x)))))))) * * * * [misc]progress: [ 372 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ 1 (sqrt 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: iters left: 1 (171 enodes) * [exit]simplify: Simplified to (/ (* (sqrt 1) (sqrt (exp x))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (sqrt 1) (sqrt (exp x))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (/ (sqrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (202 enodes) * * [misc]simplify: iters left: 1 (448 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt (exp x)) (- (exp x) 1)) (/ (sqrt (+ (exp x) 1)) (+ (exp x) 1))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (sqrt 1) (sqrt (exp x))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (* (/ (sqrt (exp x)) (- (exp x) 1)) (/ (sqrt (+ (exp x) 1)) (+ (exp x) 1))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 373 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ 1 (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (167 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (sqrt (+ (exp x) 1))) (sqrt (exp x))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (sqrt (sqrt (+ (exp x) 1))) (sqrt (exp x))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (/ (sqrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp (+ x x)) 1) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp (+ x x)) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (170 enodes) * * [misc]simplify: iters left: 1 (369 enodes) * [exit]simplify: Simplified to (/ (* (/ (/ (sqrt (exp x)) (+ 1 (exp x))) (- (exp x) 1)) (sqrt (sqrt (+ 1 (exp x))))) (sqrt (/ 1 (sqrt (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (sqrt (sqrt (+ (exp x) 1))) (sqrt (exp x))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (* (/ (/ (sqrt (exp x)) (+ 1 (exp x))) (- (exp x) 1)) (sqrt (sqrt (+ 1 (exp x))))) (sqrt (/ 1 (sqrt (+ 1 (exp x)))))))) * * * * [misc]progress: [ 374 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ 1 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * [exit]simplify: Simplified to (/ (sqrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (/ (sqrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (202 enodes) * * [misc]simplify: iters left: 1 (448 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt (exp x)) (- (exp x) 1)) (/ (sqrt (+ (exp x) 1)) (+ (exp x) 1))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (* (/ (sqrt (exp x)) (- (exp x) 1)) (/ (sqrt (+ (exp x) 1)) (+ (exp x) 1))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 375 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (+ (exp x) 1) (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (134 enodes) * * [misc]simplify: iters left: 1 (279 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ (exp x) 1))) (+ (exp x) 1)) (/ (* (cbrt (sqrt (+ (exp x) 1))) (sqrt (exp x))) (sqrt (/ 1 (sqrt (+ (exp x) 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (cbrt (sqrt (+ (exp x) 1))) (+ (exp x) 1)) (/ (* (cbrt (sqrt (+ (exp x) 1))) (sqrt (exp x))) (sqrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (/ (sqrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp x) 1) (cbrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp x) 1) (cbrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (123 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt (exp x)) (- (exp x) 1)) (cbrt (sqrt (+ (exp x) 1)))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (+ (exp x) 1) (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))))) (/ (* (/ (sqrt (exp x)) (- (exp x) 1)) (cbrt (sqrt (+ (exp x) 1)))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 376 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (+ (exp x) 1) (sqrt (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (108 enodes) * [exit]simplify: Simplified to (/ (/ (fabs (cbrt (+ (exp x) 1))) (/ (+ (exp x) 1) (sqrt (exp x)))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (fabs (cbrt (+ (exp x) 1))) (/ (+ (exp x) 1) (sqrt (exp x)))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (/ (sqrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp x) 1) (sqrt (cbrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp x) 1) (sqrt (cbrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (123 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt (exp x)) (- (exp x) 1)) (sqrt (cbrt (+ (exp x) 1)))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (fabs (cbrt (+ (exp x) 1))) (/ (+ (exp x) 1) (sqrt (exp x)))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (* (/ (sqrt (exp x)) (- (exp x) 1)) (sqrt (cbrt (+ (exp x) 1)))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 377 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (+ (exp x) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (106 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt (exp x)) (+ (exp x) 1)) (sqrt (sqrt (+ (exp x) 1)))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (/ (sqrt (exp x)) (+ (exp x) 1)) (sqrt (sqrt (+ (exp x) 1)))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (/ (sqrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp x) 1) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp x) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (123 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt (exp x)) (- (exp x) 1)) (sqrt (sqrt (+ (exp x) 1)))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (+ (exp x) 1) (sqrt (sqrt (+ 1 (exp x)))))) (/ (* (/ (sqrt (exp x)) (- (exp x) 1)) (sqrt (sqrt (+ (exp x) 1)))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 378 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (+ (exp x) 1) (sqrt 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (105 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt 1) (+ (exp x) 1)) (sqrt (exp x))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (/ (sqrt 1) (+ (exp x) 1)) (sqrt (exp x))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (/ (sqrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp x) 1) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp x) 1) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (111 enodes) * * [misc]simplify: iters left: 1 (162 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt (exp x)) (- (exp x) 1)) (sqrt (+ (exp x) 1))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (+ (exp x) 1) (sqrt 1))) (/ (* (/ (sqrt (exp x)) (- (exp x) 1)) (sqrt (+ (exp x) 1))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 379 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (+ (exp x) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (106 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt (exp x)) (+ (exp x) 1)) (sqrt (sqrt (+ (exp x) 1)))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (/ (sqrt (exp x)) (+ (exp x) 1)) (sqrt (sqrt (+ (exp x) 1)))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (/ (sqrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp x) 1) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp x) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (123 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt (exp x)) (- (exp x) 1)) (sqrt (sqrt (+ (exp x) 1)))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (+ (exp x) 1) (sqrt (sqrt (+ 1 (exp x)))))) (/ (* (/ (sqrt (exp x)) (- (exp x) 1)) (sqrt (sqrt (+ (exp x) 1)))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 380 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (+ (exp x) 1) 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (133 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (exp x)) (+ 1 (exp x))) (sqrt (/ 1 (sqrt (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (sqrt (exp x)) (+ 1 (exp x))) (sqrt (/ 1 (sqrt (+ 1 (exp x)))))) (/ (/ (sqrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp x) 1) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp x) 1) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (111 enodes) * * [misc]simplify: iters left: 1 (162 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt (exp x)) (- (exp x) 1)) (sqrt (+ (exp x) 1))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (exp x)) (+ 1 (exp x))) (sqrt (/ 1 (sqrt (+ 1 (exp x)))))) (/ (* (/ (sqrt (exp x)) (- (exp x) 1)) (sqrt (+ (exp x) 1))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 381 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (+ (sqrt (exp (+ x x))) 1) (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (141 enodes) * * [misc]simplify: iters left: 1 (281 enodes) * [exit]simplify: Simplified to (/ (* (* (cbrt (sqrt (+ (exp x) 1))) (sqrt (exp x))) (/ (cbrt (sqrt (+ (exp x) 1))) (+ 1 (fabs (exp x))))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (* (cbrt (sqrt (+ (exp x) 1))) (sqrt (exp x))) (/ (cbrt (sqrt (+ (exp x) 1))) (+ 1 (fabs (exp x))))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (/ (sqrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (sqrt (exp (+ x x))) 1) (cbrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (sqrt (exp (+ x x))) 1) (cbrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (130 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt (exp x)) (- (fabs (exp x)) 1)) (cbrt (sqrt (+ (exp x) 1)))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (* (cbrt (sqrt (+ (exp x) 1))) (sqrt (exp x))) (/ (cbrt (sqrt (+ (exp x) 1))) (+ 1 (fabs (exp x))))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (* (/ (sqrt (exp x)) (- (fabs (exp x)) 1)) (cbrt (sqrt (+ (exp x) 1)))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 382 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (+ (sqrt (exp (+ x x))) 1) (sqrt (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (115 enodes) * [exit]simplify: Simplified to (/ (/ (fabs (cbrt (+ (exp x) 1))) (/ (+ 1 (fabs (exp x))) (sqrt (exp x)))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (fabs (cbrt (+ (exp x) 1))) (/ (+ 1 (fabs (exp x))) (sqrt (exp x)))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (/ (sqrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (cbrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (cbrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (130 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt (exp x)) (- (fabs (exp x)) 1)) (sqrt (cbrt (+ (exp x) 1)))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (fabs (cbrt (+ (exp x) 1))) (/ (+ 1 (fabs (exp x))) (sqrt (exp x)))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (* (/ (sqrt (exp x)) (- (fabs (exp x)) 1)) (sqrt (cbrt (+ (exp x) 1)))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 383 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (+ (sqrt (exp (+ x x))) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (113 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt (exp x)) (+ 1 (fabs (exp x)))) (sqrt (sqrt (+ (exp x) 1)))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (/ (sqrt (exp x)) (+ 1 (fabs (exp x)))) (sqrt (sqrt (+ (exp x) 1)))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (/ (sqrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (130 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt (exp x)) (- (fabs (exp x)) 1)) (sqrt (sqrt (+ (exp x) 1)))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (/ (sqrt (exp x)) (+ 1 (fabs (exp x)))) (sqrt (sqrt (+ (exp x) 1)))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (* (/ (sqrt (exp x)) (- (fabs (exp x)) 1)) (sqrt (sqrt (+ (exp x) 1)))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 384 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (+ (sqrt (exp (+ x x))) 1) (sqrt 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (112 enodes) * [exit]simplify: Simplified to (/ (/ (* (sqrt (exp x)) (sqrt 1)) (+ 1 (fabs (exp x)))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (* (sqrt (exp x)) (sqrt 1)) (+ 1 (fabs (exp x)))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (/ (sqrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (113 enodes) * * [misc]simplify: iters left: 1 (163 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt (+ (exp x) 1)) (- (fabs (exp x)) 1)) (sqrt (exp x))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (* (sqrt (exp x)) (sqrt 1)) (+ 1 (fabs (exp x)))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (* (/ (sqrt (+ (exp x) 1)) (- (fabs (exp x)) 1)) (sqrt (exp x))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 385 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (+ (sqrt (exp (+ x x))) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (113 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt (exp x)) (+ 1 (fabs (exp x)))) (sqrt (sqrt (+ (exp x) 1)))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (/ (sqrt (exp x)) (+ 1 (fabs (exp x)))) (sqrt (sqrt (+ (exp x) 1)))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (/ (sqrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (130 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt (exp x)) (- (fabs (exp x)) 1)) (sqrt (sqrt (+ (exp x) 1)))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (/ (sqrt (exp x)) (+ 1 (fabs (exp x)))) (sqrt (sqrt (+ (exp x) 1)))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (* (/ (sqrt (exp x)) (- (fabs (exp x)) 1)) (sqrt (sqrt (+ (exp x) 1)))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 386 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (+ (sqrt (exp (+ x x))) 1) 1)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (139 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (exp x)) (+ 1 (fabs (exp x)))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (sqrt (exp x)) (+ 1 (fabs (exp x)))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (/ (sqrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (113 enodes) * * [misc]simplify: iters left: 1 (163 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt (+ (exp x) 1)) (- (fabs (exp x)) 1)) (sqrt (exp x))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (exp x)) (+ 1 (fabs (exp x)))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (* (/ (sqrt (+ (exp x) 1)) (- (fabs (exp x)) 1)) (sqrt (exp x))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 387 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * [exit]simplify: Simplified to (/ (sqrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (/ (sqrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (202 enodes) * * [misc]simplify: iters left: 1 (448 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt (exp x)) (- (exp x) 1)) (/ (sqrt (+ (exp x) 1)) (+ (exp x) 1))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (* (/ (sqrt (exp x)) (- (exp x) 1)) (/ (sqrt (+ (exp x) 1)) (+ (exp x) 1))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 388 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (- (exp (+ x x)) 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (250 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (exp x)) (+ (exp x) 1)) (- (exp x) 1)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (/ (sqrt (exp x)) (+ (exp x) 1)) (- (exp x) 1)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (/ (sqrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ 1 (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ 1 (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (91 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (exp x)) (sqrt (+ (exp x) 1))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (- (exp (+ x x)) 1)) (/ (* (sqrt (exp x)) (sqrt (+ (exp x) 1))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 389 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp (+ x x)) 1) (sqrt (+ (pow 1 3) (pow (exp x) 3))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (182 enodes) * * [misc]simplify: iters left: 1 (382 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ 1 (pow (exp x) 3))) (/ (- (exp x) 1) (/ (sqrt (exp x)) (+ 1 (exp x))))) (sqrt (/ 1 (sqrt (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (sqrt (+ 1 (pow (exp x) 3))) (/ (- (exp x) 1) (/ (sqrt (exp x)) (+ 1 (exp x))))) (sqrt (/ 1 (sqrt (+ 1 (exp x)))))) (/ (/ (sqrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (sqrt (+ (* 1 1) (- (* (exp x) (exp x)) (* 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (sqrt (+ (* 1 1) (- (* (exp x) (exp x)) (* 1 (exp x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (100 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (exp x)) (sqrt (+ (- 1 (exp x)) (* (exp x) (exp x))))) (sqrt (/ 1 (sqrt (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp (+ x x)) 1) (sqrt (+ (pow 1 3) (pow (exp x) 3))))) (/ (/ (sqrt (exp x)) (sqrt (+ (- 1 (exp x)) (* (exp x) (exp x))))) (sqrt (/ 1 (sqrt (+ 1 (exp x)))))))) * * * * [misc]progress: [ 390 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp (+ x x)) 1) (sqrt (- (* 1 1) (* (exp x) (exp x)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (177 enodes) * * [misc]simplify: iters left: 1 (375 enodes) * [exit]simplify: Simplified to (/ (* (/ (/ (sqrt (exp x)) (- (exp x) 1)) (+ (exp x) 1)) (sqrt (- 1 (exp (+ x x))))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (/ (/ (sqrt (exp x)) (- (exp x) 1)) (+ (exp x) 1)) (sqrt (- 1 (exp (+ x x))))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (/ (sqrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (sqrt (- 1 (exp x)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (sqrt (- 1 (exp x)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (exp x)) (sqrt (- 1 (exp x)))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp (+ x x)) 1) (sqrt (- (* 1 1) (* (exp x) (exp x)))))) (/ (/ (sqrt (exp x)) (sqrt (- 1 (exp x)))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 391 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) 1) (* (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))) (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * * [misc]simplify: iters left: 1 (118 enodes) * [exit]simplify: Simplified to (/ (sqrt (exp x)) (* (cbrt (/ (- (* (exp x) (exp x)) 1) (sqrt (+ (exp x) 1)))) (cbrt (/ (- (* (exp x) (exp x)) 1) (sqrt (+ (exp x) 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (exp x)) (* (cbrt (/ (- (* (exp x) (exp x)) 1) (sqrt (+ (exp x) 1)))) (cbrt (/ (- (* (exp x) (exp x)) 1) (sqrt (+ (exp x) 1)))))) (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (137 enodes) * * [misc]simplify: iters left: 1 (224 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (exp x)) (sqrt (+ 1 (exp x)))) (cbrt (/ (- (* (exp x) (exp x)) 1) (sqrt (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (exp x)) 1) (* (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))) (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))))) (/ (* (sqrt (exp x)) (sqrt (+ 1 (exp x)))) (cbrt (/ (- (* (exp x) (exp x)) 1) (sqrt (+ 1 (exp x)))))))) * * * * [misc]progress: [ 392 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) 1) (sqrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (103 enodes) * [exit]simplify: Simplified to (/ (sqrt (exp x)) (sqrt (/ (- (* (exp x) (exp x)) 1) (sqrt (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (exp x)) (sqrt (/ (- (* (exp x) (exp x)) 1) (sqrt (+ 1 (exp x)))))) (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (sqrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (sqrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (137 enodes) * * [misc]simplify: iters left: 1 (224 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (exp x)) (sqrt (+ 1 (exp x)))) (sqrt (/ (- (* (exp x) (exp x)) 1) (sqrt (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (exp x)) (sqrt (/ (- (* (exp x) (exp x)) 1) (sqrt (+ 1 (exp x)))))) (/ (* (sqrt (exp x)) (sqrt (+ 1 (exp x)))) (sqrt (/ (- (* (exp x) (exp x)) 1) (sqrt (+ 1 (exp x)))))))) * * * * [misc]progress: [ 393 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) 1) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (177 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (exp x)) (/ (cbrt (- (* (exp x) (exp x)) 1)) (cbrt (sqrt (+ (exp x) 1))))) (/ (cbrt (- (* (exp x) (exp x)) 1)) (cbrt (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (sqrt (exp x)) (/ (cbrt (- (* (exp x) (exp x)) 1)) (cbrt (sqrt (+ (exp x) 1))))) (/ (cbrt (- (* (exp x) (exp x)) 1)) (cbrt (sqrt (+ (exp x) 1))))) (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (cbrt (- (exp (+ x x)) 1)) (cbrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (cbrt (- (exp (+ x x)) 1)) (cbrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (200 enodes) * * [misc]simplify: iters left: 1 (478 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (exp x)) (sqrt (+ (exp x) 1))) (/ (cbrt (- (* (exp x) (exp x)) 1)) (cbrt (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (exp x)) 1) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))))) (/ (* (sqrt (exp x)) (sqrt (+ (exp x) 1))) (/ (cbrt (- (* (exp x) (exp x)) 1)) (cbrt (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 394 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) 1) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (sqrt (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (175 enodes) * * [misc]simplify: iters left: 1 (286 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (exp x)) (fabs (cbrt (+ 1 (exp x))))) (* (cbrt (- (* (exp x) (exp x)) 1)) (cbrt (- (* (exp x) (exp x)) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (sqrt (exp x)) (fabs (cbrt (+ 1 (exp x))))) (* (cbrt (- (* (exp x) (exp x)) 1)) (cbrt (- (* (exp x) (exp x)) 1)))) (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (cbrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (cbrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (236 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (exp x)) (cbrt (- (* (exp x) (exp x)) 1))) (* (sqrt (cbrt (+ (exp x) 1))) (sqrt (+ (exp x) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (sqrt (exp x)) (fabs (cbrt (+ 1 (exp x))))) (* (cbrt (- (* (exp x) (exp x)) 1)) (cbrt (- (* (exp x) (exp x)) 1)))) (* (/ (sqrt (exp x)) (cbrt (- (* (exp x) (exp x)) 1))) (* (sqrt (cbrt (+ (exp x) 1))) (sqrt (+ (exp x) 1)))))) * * * * [misc]progress: [ 395 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) 1) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (194 enodes) * * [misc]simplify: iters left: 1 (469 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ 1 (exp x)))) (cbrt (- (* (exp x) (exp x)) 1))) (/ (sqrt (exp x)) (cbrt (- (* (exp x) (exp x)) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (sqrt (sqrt (+ 1 (exp x)))) (cbrt (- (* (exp x) (exp x)) 1))) (/ (sqrt (exp x)) (cbrt (- (* (exp x) (exp x)) 1)))) (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (200 enodes) * * [misc]simplify: iters left: 1 (478 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (exp x)) (sqrt (+ (exp x) 1))) (/ (cbrt (- (* (exp x) (exp x)) 1)) (sqrt (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (exp x)) 1) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (sqrt (sqrt (+ 1 (exp x)))))) (/ (* (sqrt (exp x)) (sqrt (+ (exp x) 1))) (/ (cbrt (- (* (exp x) (exp x)) 1)) (sqrt (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 396 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) 1) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (sqrt 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (201 enodes) * * [misc]simplify: iters left: 1 (490 enodes) * [exit]simplify: Simplified to (/ (* (sqrt 1) (sqrt (exp x))) (* (cbrt (- (* (exp x) (exp x)) 1)) (cbrt (- (* (exp x) (exp x)) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (sqrt 1) (sqrt (exp x))) (* (cbrt (- (* (exp x) (exp x)) 1)) (cbrt (- (* (exp x) (exp x)) 1)))) (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (162 enodes) * * [misc]simplify: iters left: 1 (344 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (exp x)) (+ 1 (exp x))) (cbrt (- (* (exp x) (exp x)) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (exp x)) 1) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (sqrt 1))) (/ (* (sqrt (exp x)) (+ 1 (exp x))) (cbrt (- (* (exp x) (exp x)) 1))))) * * * * [misc]progress: [ 397 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) 1) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (194 enodes) * * [misc]simplify: iters left: 1 (469 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ 1 (exp x)))) (cbrt (- (* (exp x) (exp x)) 1))) (/ (sqrt (exp x)) (cbrt (- (* (exp x) (exp x)) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (sqrt (sqrt (+ 1 (exp x)))) (cbrt (- (* (exp x) (exp x)) 1))) (/ (sqrt (exp x)) (cbrt (- (* (exp x) (exp x)) 1)))) (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (200 enodes) * * [misc]simplify: iters left: 1 (478 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (exp x)) (sqrt (+ (exp x) 1))) (/ (cbrt (- (* (exp x) (exp x)) 1)) (sqrt (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (exp x)) 1) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (sqrt (sqrt (+ 1 (exp x)))))) (/ (* (sqrt (exp x)) (sqrt (+ (exp x) 1))) (/ (cbrt (- (* (exp x) (exp x)) 1)) (sqrt (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 398 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) 1) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (125 enodes) * * [misc]simplify: iters left: 1 (196 enodes) * [exit]simplify: Simplified to (/ (sqrt (exp x)) (* (cbrt (- (* (exp x) (exp x)) 1)) (cbrt (- (* (exp x) (exp x)) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (exp x)) (* (cbrt (- (* (exp x) (exp x)) 1)) (cbrt (- (* (exp x) (exp x)) 1)))) (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (162 enodes) * * [misc]simplify: iters left: 1 (344 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (exp x)) (+ 1 (exp x))) (cbrt (- (* (exp x) (exp x)) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (exp x)) (* (cbrt (- (* (exp x) (exp x)) 1)) (cbrt (- (* (exp x) (exp x)) 1)))) (/ (* (sqrt (exp x)) (+ 1 (exp x))) (cbrt (- (* (exp x) (exp x)) 1))))) * * * * [misc]progress: [ 399 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) 1) (/ (sqrt (- (exp (+ x x)) 1)) (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (168 enodes) * * [misc]simplify: iters left: 1 (436 enodes) * [exit]simplify: Simplified to (* (* (sqrt (exp x)) (cbrt (sqrt (+ 1 (exp x))))) (/ (cbrt (sqrt (+ 1 (exp x)))) (sqrt (- (* (exp x) (exp x)) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (* (sqrt (exp x)) (cbrt (sqrt (+ 1 (exp x))))) (/ (cbrt (sqrt (+ 1 (exp x)))) (sqrt (- (* (exp x) (exp x)) 1)))) (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (sqrt (- (exp (+ x x)) 1)) (cbrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (sqrt (- (exp (+ x x)) 1)) (cbrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (200 enodes) * * [misc]simplify: iters left: 1 (478 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (exp x)) (sqrt (+ (exp x) 1))) (/ (sqrt (- (* (exp x) (exp x)) 1)) (cbrt (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (* (sqrt (exp x)) (cbrt (sqrt (+ 1 (exp x))))) (/ (cbrt (sqrt (+ 1 (exp x)))) (sqrt (- (* (exp x) (exp x)) 1)))) (/ (* (sqrt (exp x)) (sqrt (+ (exp x) 1))) (/ (sqrt (- (* (exp x) (exp x)) 1)) (cbrt (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 400 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) 1) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (113 enodes) * [exit]simplify: Simplified to (/ (sqrt (exp x)) (/ (sqrt (- (* (exp x) (exp x)) 1)) (fabs (cbrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (exp x)) (/ (sqrt (- (* (exp x) (exp x)) 1)) (fabs (cbrt (+ (exp x) 1))))) (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (cbrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (cbrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (236 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (exp x)) (sqrt (- (* (exp x) (exp x)) 1))) (* (sqrt (cbrt (+ (exp x) 1))) (sqrt (+ (exp x) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (exp x)) (/ (sqrt (- (* (exp x) (exp x)) 1)) (fabs (cbrt (+ (exp x) 1))))) (* (/ (sqrt (exp x)) (sqrt (- (* (exp x) (exp x)) 1))) (* (sqrt (cbrt (+ (exp x) 1))) (sqrt (+ (exp x) 1)))))) * * * * [misc]progress: [ 401 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) 1) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (77 enodes) * * [misc]simplify: iters left: 1 (146 enodes) * [exit]simplify: Simplified to (/ (sqrt (exp x)) (/ (sqrt (- (* (exp x) (exp x)) 1)) (sqrt (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (exp x)) (/ (sqrt (- (* (exp x) (exp x)) 1)) (sqrt (sqrt (+ (exp x) 1))))) (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (200 enodes) * * [misc]simplify: iters left: 1 (478 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (exp x)) (sqrt (+ (exp x) 1))) (/ (sqrt (- (* (exp x) (exp x)) 1)) (sqrt (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (exp x)) (/ (sqrt (- (* (exp x) (exp x)) 1)) (sqrt (sqrt (+ (exp x) 1))))) (/ (* (sqrt (exp x)) (sqrt (+ (exp x) 1))) (/ (sqrt (- (* (exp x) (exp x)) 1)) (sqrt (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 402 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) 1) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: iters left: 1 (157 enodes) * [exit]simplify: Simplified to (/ (* (sqrt 1) (sqrt (exp x))) (sqrt (- (* (exp x) (exp x)) 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (sqrt 1) (sqrt (exp x))) (sqrt (- (* (exp x) (exp x)) 1))) (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (162 enodes) * * [misc]simplify: iters left: 1 (344 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (exp x)) (+ 1 (exp x))) (sqrt (- (* (exp x) (exp x)) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (sqrt 1) (sqrt (exp x))) (sqrt (- (* (exp x) (exp x)) 1))) (/ (* (sqrt (exp x)) (+ 1 (exp x))) (sqrt (- (* (exp x) (exp x)) 1))))) * * * * [misc]progress: [ 403 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) 1) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (77 enodes) * * [misc]simplify: iters left: 1 (146 enodes) * [exit]simplify: Simplified to (/ (sqrt (exp x)) (/ (sqrt (- (* (exp x) (exp x)) 1)) (sqrt (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (exp x)) (/ (sqrt (- (* (exp x) (exp x)) 1)) (sqrt (sqrt (+ (exp x) 1))))) (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (200 enodes) * * [misc]simplify: iters left: 1 (478 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (exp x)) (sqrt (+ (exp x) 1))) (/ (sqrt (- (* (exp x) (exp x)) 1)) (sqrt (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (exp x)) (/ (sqrt (- (* (exp x) (exp x)) 1)) (sqrt (sqrt (+ (exp x) 1))))) (/ (* (sqrt (exp x)) (sqrt (+ (exp x) 1))) (/ (sqrt (- (* (exp x) (exp x)) 1)) (sqrt (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 404 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) 1) (/ (sqrt (- (exp (+ x x)) 1)) 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (118 enodes) * [exit]simplify: Simplified to (/ (sqrt (exp x)) (sqrt (- (* (exp x) (exp x)) 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (exp x)) (sqrt (- (* (exp x) (exp x)) 1))) (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (162 enodes) * * [misc]simplify: iters left: 1 (344 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (exp x)) (+ 1 (exp x))) (sqrt (- (* (exp x) (exp x)) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (exp x)) (sqrt (- (* (exp x) (exp x)) 1))) (/ (* (sqrt (exp x)) (+ 1 (exp x))) (sqrt (- (* (exp x) (exp x)) 1))))) * * * * [misc]progress: [ 405 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) 1) (/ 1 (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (76 enodes) * [exit]simplify: Simplified to (* (* (cbrt (sqrt (+ (exp x) 1))) (sqrt (exp x))) (cbrt (sqrt (+ (exp x) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (* (cbrt (sqrt (+ (exp x) 1))) (sqrt (exp x))) (cbrt (sqrt (+ (exp x) 1)))) (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp (+ x x)) 1) (cbrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp (+ x x)) 1) (cbrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (139 enodes) * * [misc]simplify: iters left: 2 (380 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (+ (exp x) 1))) (* (sqrt (exp x)) (sqrt (+ (exp x) 1)))) (- (* (exp x) (exp x)) 1)) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (* (cbrt (sqrt (+ (exp x) 1))) (sqrt (exp x))) (cbrt (sqrt (+ (exp x) 1)))) (/ (* (cbrt (sqrt (+ (exp x) 1))) (* (sqrt (exp x)) (sqrt (+ (exp x) 1)))) (- (* (exp x) (exp x)) 1)))) * * * * [misc]progress: [ 406 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) 1) (/ 1 (sqrt (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * [exit]simplify: Simplified to (* (sqrt (exp x)) (fabs (cbrt (+ (exp x) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (sqrt (exp x)) (fabs (cbrt (+ (exp x) 1)))) (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp (+ x x)) 1) (sqrt (cbrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp (+ x x)) 1) (sqrt (cbrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (139 enodes) * * [misc]simplify: iters left: 2 (415 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (exp x)) (+ (exp x) 1)) (* (sqrt (cbrt (+ (exp x) 1))) (/ (sqrt (+ (exp x) 1)) (- (exp x) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt (exp x)) (fabs (cbrt (+ (exp x) 1)))) (* (/ (sqrt (exp x)) (+ (exp x) 1)) (* (sqrt (cbrt (+ (exp x) 1))) (/ (sqrt (+ (exp x) 1)) (- (exp x) 1)))))) * * * * [misc]progress: [ 407 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) 1) (/ 1 (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ (exp x) 1))) (sqrt (exp x))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (sqrt (sqrt (+ (exp x) 1))) (sqrt (exp x))) (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp (+ x x)) 1) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp (+ x x)) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (139 enodes) * * [misc]simplify: iters left: 2 (380 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (sqrt (+ (exp x) 1))) (* (sqrt (exp x)) (sqrt (+ (exp x) 1)))) (- (* (exp x) (exp x)) 1)) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt (sqrt (+ (exp x) 1))) (sqrt (exp x))) (/ (* (sqrt (sqrt (+ (exp x) 1))) (* (sqrt (exp x)) (sqrt (+ (exp x) 1)))) (- (* (exp x) (exp x)) 1)))) * * * * [misc]progress: [ 408 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) 1) (/ 1 (sqrt 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (* (sqrt (exp x)) (sqrt 1)) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (sqrt (exp x)) (sqrt 1)) (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (141 enodes) * * [misc]simplify: iters left: 2 (403 enodes) * [exit]simplify: Simplified to (/ (sqrt (exp x)) (- (exp x) 1)) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt (exp x)) (sqrt 1)) (/ (sqrt (exp x)) (- (exp x) 1)))) * * * * [misc]progress: [ 409 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) 1) (/ 1 (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ (exp x) 1))) (sqrt (exp x))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (sqrt (sqrt (+ (exp x) 1))) (sqrt (exp x))) (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp (+ x x)) 1) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp (+ x x)) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (139 enodes) * * [misc]simplify: iters left: 2 (380 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (sqrt (+ (exp x) 1))) (* (sqrt (exp x)) (sqrt (+ (exp x) 1)))) (- (* (exp x) (exp x)) 1)) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt (sqrt (+ (exp x) 1))) (sqrt (exp x))) (/ (* (sqrt (sqrt (+ (exp x) 1))) (* (sqrt (exp x)) (sqrt (+ (exp x) 1)))) (- (* (exp x) (exp x)) 1)))) * * * * [misc]progress: [ 410 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) 1) (/ 1 1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (sqrt (exp x)) * [misc]simplify: Simplified (2 1) to (λ (x) (* (sqrt (exp x)) (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (141 enodes) * * [misc]simplify: iters left: 2 (403 enodes) * [exit]simplify: Simplified to (/ (sqrt (exp x)) (- (exp x) 1)) * [misc]simplify: Simplified (2 2) to (λ (x) (* (sqrt (exp x)) (/ (sqrt (exp x)) (- (exp x) 1)))) * * * * [misc]progress: [ 411 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) 1) (/ (+ (exp x) 1) (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (109 enodes) * * [misc]simplify: iters left: 1 (234 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 (exp x)))) (+ 1 (exp x))) (* (cbrt (sqrt (+ 1 (exp x)))) (sqrt (exp x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (cbrt (sqrt (+ 1 (exp x)))) (+ 1 (exp x))) (* (cbrt (sqrt (+ 1 (exp x)))) (sqrt (exp x)))) (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp x) 1) (cbrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp x) 1) (cbrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (112 enodes) * * [misc]simplify: iters left: 2 (221 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ (exp x) 1))) (* (/ (sqrt (exp x)) (- (exp x) 1)) (sqrt (+ (exp x) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (cbrt (sqrt (+ 1 (exp x)))) (+ 1 (exp x))) (* (cbrt (sqrt (+ 1 (exp x)))) (sqrt (exp x)))) (* (cbrt (sqrt (+ (exp x) 1))) (* (/ (sqrt (exp x)) (- (exp x) 1)) (sqrt (+ (exp x) 1)))))) * * * * [misc]progress: [ 412 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) 1) (/ (+ (exp x) 1) (sqrt (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (68 enodes) * [exit]simplify: Simplified to (* (fabs (cbrt (+ 1 (exp x)))) (/ (sqrt (exp x)) (+ 1 (exp x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (fabs (cbrt (+ 1 (exp x)))) (/ (sqrt (exp x)) (+ 1 (exp x)))) (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp x) 1) (sqrt (cbrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp x) 1) (sqrt (cbrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (112 enodes) * * [misc]simplify: iters left: 2 (281 enodes) * [exit]simplify: Simplified to (* (* (/ (sqrt (exp x)) (- (exp x) 1)) (sqrt (+ (exp x) 1))) (sqrt (cbrt (+ (exp x) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (fabs (cbrt (+ 1 (exp x)))) (/ (sqrt (exp x)) (+ 1 (exp x)))) (* (* (/ (sqrt (exp x)) (- (exp x) 1)) (sqrt (+ (exp x) 1))) (sqrt (cbrt (+ (exp x) 1)))))) * * * * [misc]progress: [ 413 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) 1) (/ (+ (exp x) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (91 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ 1 (exp x)))) (/ (sqrt (exp x)) (+ 1 (exp x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (sqrt (sqrt (+ 1 (exp x)))) (/ (sqrt (exp x)) (+ 1 (exp x)))) (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp x) 1) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp x) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (112 enodes) * * [misc]simplify: iters left: 2 (221 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ (exp x) 1))) (* (/ (sqrt (exp x)) (- (exp x) 1)) (sqrt (+ (exp x) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt (sqrt (+ 1 (exp x)))) (/ (sqrt (exp x)) (+ 1 (exp x)))) (* (sqrt (sqrt (+ (exp x) 1))) (* (/ (sqrt (exp x)) (- (exp x) 1)) (sqrt (+ (exp x) 1)))))) * * * * [misc]progress: [ 414 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) 1) (/ (+ (exp x) 1) (sqrt 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (89 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (exp x)) (+ 1 (exp x))) (sqrt 1)) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (sqrt (exp x)) (+ 1 (exp x))) (sqrt 1)) (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp x) 1) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp x) 1) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (235 enodes) * * [misc]simplify: iters left: 1 (479 enodes) * [exit]simplify: Simplified to (* (sqrt (exp x)) (/ (+ 1 (exp x)) (- (exp x) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (sqrt (exp x)) (+ 1 (exp x))) (sqrt 1)) (* (sqrt (exp x)) (/ (+ 1 (exp x)) (- (exp x) 1))))) * * * * [misc]progress: [ 415 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) 1) (/ (+ (exp x) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (91 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ 1 (exp x)))) (/ (sqrt (exp x)) (+ 1 (exp x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (sqrt (sqrt (+ 1 (exp x)))) (/ (sqrt (exp x)) (+ 1 (exp x)))) (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp x) 1) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp x) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (112 enodes) * * [misc]simplify: iters left: 2 (221 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ (exp x) 1))) (* (/ (sqrt (exp x)) (- (exp x) 1)) (sqrt (+ (exp x) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt (sqrt (+ 1 (exp x)))) (/ (sqrt (exp x)) (+ 1 (exp x)))) (* (sqrt (sqrt (+ (exp x) 1))) (* (/ (sqrt (exp x)) (- (exp x) 1)) (sqrt (+ (exp x) 1)))))) * * * * [misc]progress: [ 416 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) 1) (/ (+ (exp x) 1) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (85 enodes) * [exit]simplify: Simplified to (/ (sqrt (exp x)) (+ (exp x) 1)) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (exp x)) (+ (exp x) 1)) (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp x) 1) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp x) 1) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (235 enodes) * * [misc]simplify: iters left: 1 (479 enodes) * [exit]simplify: Simplified to (* (sqrt (exp x)) (/ (+ 1 (exp x)) (- (exp x) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (exp x)) (+ (exp x) 1)) (* (sqrt (exp x)) (/ (+ 1 (exp x)) (- (exp x) 1))))) * * * * [misc]progress: [ 417 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) 1) (/ (+ (sqrt (exp (+ x x))) 1) (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (117 enodes) * * [misc]simplify: iters left: 1 (239 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (+ (exp x) 1))) (cbrt (sqrt (+ (exp x) 1)))) (/ (+ 1 (fabs (exp x))) (sqrt (exp x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (cbrt (sqrt (+ (exp x) 1))) (cbrt (sqrt (+ (exp x) 1)))) (/ (+ 1 (fabs (exp x))) (sqrt (exp x)))) (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (sqrt (exp (+ x x))) 1) (cbrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (sqrt (exp (+ x x))) 1) (cbrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (117 enodes) * * [misc]simplify: iters left: 2 (228 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (+ (exp x) 1)) (sqrt (exp x))) (/ (- (fabs (exp x)) 1) (cbrt (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (cbrt (sqrt (+ (exp x) 1))) (cbrt (sqrt (+ (exp x) 1)))) (/ (+ 1 (fabs (exp x))) (sqrt (exp x)))) (/ (* (sqrt (+ (exp x) 1)) (sqrt (exp x))) (/ (- (fabs (exp x)) 1) (cbrt (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 418 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) 1) (/ (+ (sqrt (exp (+ x x))) 1) (sqrt (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (* (fabs (cbrt (+ (exp x) 1))) (/ (sqrt (exp x)) (+ 1 (fabs (exp x))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (fabs (cbrt (+ (exp x) 1))) (/ (sqrt (exp x)) (+ 1 (fabs (exp x))))) (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (cbrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (cbrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (117 enodes) * * [misc]simplify: iters left: 2 (268 enodes) * [exit]simplify: Simplified to (/ (sqrt (exp x)) (/ (/ (- (fabs (exp x)) 1) (sqrt (+ (exp x) 1))) (sqrt (cbrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (fabs (cbrt (+ (exp x) 1))) (/ (sqrt (exp x)) (+ 1 (fabs (exp x))))) (/ (sqrt (exp x)) (/ (/ (- (fabs (exp x)) 1) (sqrt (+ (exp x) 1))) (sqrt (cbrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 419 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) 1) (/ (+ (sqrt (exp (+ x x))) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (91 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (exp x)) (+ 1 (fabs (exp x)))) (sqrt (sqrt (+ (exp x) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (sqrt (exp x)) (+ 1 (fabs (exp x)))) (sqrt (sqrt (+ (exp x) 1)))) (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (117 enodes) * * [misc]simplify: iters left: 2 (228 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (+ (exp x) 1)) (sqrt (exp x))) (/ (- (fabs (exp x)) 1) (sqrt (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (sqrt (exp x)) (+ 1 (fabs (exp x)))) (sqrt (sqrt (+ (exp x) 1)))) (/ (* (sqrt (+ (exp x) 1)) (sqrt (exp x))) (/ (- (fabs (exp x)) 1) (sqrt (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 420 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) 1) (/ (+ (sqrt (exp (+ x x))) 1) (sqrt 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (90 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (exp x)) (sqrt 1)) (+ 1 (fabs (exp x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (sqrt (exp x)) (sqrt 1)) (+ 1 (fabs (exp x)))) (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (121 enodes) * * [misc]simplify: iters left: 2 (247 enodes) * * [misc]simplify: iters left: 1 (492 enodes) * [exit]simplify: Simplified to (/ (* (+ (exp x) 1) (sqrt (exp x))) (- (fabs (exp x)) 1)) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (sqrt (exp x)) (sqrt 1)) (+ 1 (fabs (exp x)))) (/ (* (+ (exp x) 1) (sqrt (exp x))) (- (fabs (exp x)) 1)))) * * * * [misc]progress: [ 421 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) 1) (/ (+ (sqrt (exp (+ x x))) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (91 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (exp x)) (+ 1 (fabs (exp x)))) (sqrt (sqrt (+ (exp x) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (sqrt (exp x)) (+ 1 (fabs (exp x)))) (sqrt (sqrt (+ (exp x) 1)))) (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (117 enodes) * * [misc]simplify: iters left: 2 (228 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (+ (exp x) 1)) (sqrt (exp x))) (/ (- (fabs (exp x)) 1) (sqrt (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (sqrt (exp x)) (+ 1 (fabs (exp x)))) (sqrt (sqrt (+ (exp x) 1)))) (/ (* (sqrt (+ (exp x) 1)) (sqrt (exp x))) (/ (- (fabs (exp x)) 1) (sqrt (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 422 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) 1) (/ (+ (sqrt (exp (+ x x))) 1) 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (/ (sqrt (exp x)) (+ 1 (fabs (exp x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (exp x)) (+ 1 (fabs (exp x)))) (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (121 enodes) * * [misc]simplify: iters left: 2 (247 enodes) * * [misc]simplify: iters left: 1 (492 enodes) * [exit]simplify: Simplified to (/ (* (+ (exp x) 1) (sqrt (exp x))) (- (fabs (exp x)) 1)) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (exp x)) (+ 1 (fabs (exp x)))) (/ (* (+ (exp x) 1) (sqrt (exp x))) (- (fabs (exp x)) 1)))) * * * * [misc]progress: [ 423 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) 1) 1) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (sqrt (exp x)) * [misc]simplify: Simplified (2 1) to (λ (x) (* (sqrt (exp x)) (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (141 enodes) * * [misc]simplify: iters left: 2 (403 enodes) * [exit]simplify: Simplified to (/ (sqrt (exp x)) (- (exp x) 1)) * [misc]simplify: Simplified (2 2) to (λ (x) (* (sqrt (exp x)) (/ (sqrt (exp x)) (- (exp x) 1)))) * * * * [misc]progress: [ 424 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) 1) (- (exp (+ x x)) 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (111 enodes) * [exit]simplify: Simplified to (/ (sqrt (exp x)) (- (exp (+ x x)) 1)) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (exp x)) (- (exp (+ x x)) 1)) (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ 1 (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ 1 (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (95 enodes) * [exit]simplify: Simplified to (* (+ (exp x) 1) (sqrt (exp x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (exp x)) (- (exp (+ x x)) 1)) (* (+ (exp x) 1) (sqrt (exp x))))) * * * * [misc]progress: [ 425 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) 1) (/ (- (exp (+ x x)) 1) (sqrt (+ (pow 1 3) (pow (exp x) 3))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (193 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (pow (exp x) 3) 1)) (/ (sqrt (exp x)) (- (* (exp x) (exp x)) 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (sqrt (+ (pow (exp x) 3) 1)) (/ (sqrt (exp x)) (- (* (exp x) (exp x)) 1))) (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (sqrt (+ (* 1 1) (- (* (exp x) (exp x)) (* 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (sqrt (+ (* 1 1) (- (* (exp x) (exp x)) (* 1 (exp x)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (114 enodes) * * [misc]simplify: iters left: 2 (143 enodes) * * [misc]simplify: iters left: 1 (199 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (+ (exp x) 1)) (sqrt (exp x))) (sqrt (- (* (exp x) (exp x)) (- (exp x) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt (+ (pow (exp x) 3) 1)) (/ (sqrt (exp x)) (- (* (exp x) (exp x)) 1))) (/ (* (sqrt (+ (exp x) 1)) (sqrt (exp x))) (sqrt (- (* (exp x) (exp x)) (- (exp x) 1)))))) * * * * [misc]progress: [ 426 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) 1) (/ (- (exp (+ x x)) 1) (sqrt (- (* 1 1) (* (exp x) (exp x)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (173 enodes) * * [misc]simplify: iters left: 1 (487 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 (* (exp x) (exp x)))) (/ (- (* (exp x) (exp x)) 1) (sqrt (exp x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (- 1 (* (exp x) (exp x)))) (/ (- (* (exp x) (exp x)) 1) (sqrt (exp x)))) (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (sqrt (- 1 (exp x)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (sqrt (- 1 (exp x)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (123 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (+ (exp x) 1)) (sqrt (exp x))) (sqrt (- 1 (exp x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (- 1 (* (exp x) (exp x)))) (/ (- (* (exp x) (exp x)) 1) (sqrt (exp x)))) (/ (* (sqrt (+ (exp x) 1)) (sqrt (exp x))) (sqrt (- 1 (exp x)))))) * * * * [misc]progress: [ 427 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) 1) (* (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))) (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * * [misc]simplify: iters left: 1 (118 enodes) * [exit]simplify: Simplified to (/ (sqrt (exp x)) (* (cbrt (/ (- (* (exp x) (exp x)) 1) (sqrt (+ (exp x) 1)))) (cbrt (/ (- (* (exp x) (exp x)) 1) (sqrt (+ (exp x) 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (exp x)) (* (cbrt (/ (- (* (exp x) (exp x)) 1) (sqrt (+ (exp x) 1)))) (cbrt (/ (- (* (exp x) (exp x)) 1) (sqrt (+ (exp x) 1)))))) (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (137 enodes) * * [misc]simplify: iters left: 1 (224 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (exp x)) (sqrt (+ 1 (exp x)))) (cbrt (/ (- (* (exp x) (exp x)) 1) (sqrt (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (exp x)) 1) (* (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))) (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))))) (/ (* (sqrt (exp x)) (sqrt (+ 1 (exp x)))) (cbrt (/ (- (* (exp x) (exp x)) 1) (sqrt (+ 1 (exp x)))))))) * * * * [misc]progress: [ 428 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) 1) (sqrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (103 enodes) * [exit]simplify: Simplified to (/ (sqrt (exp x)) (sqrt (/ (- (* (exp x) (exp x)) 1) (sqrt (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (exp x)) (sqrt (/ (- (* (exp x) (exp x)) 1) (sqrt (+ 1 (exp x)))))) (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (sqrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (sqrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (137 enodes) * * [misc]simplify: iters left: 1 (224 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (exp x)) (sqrt (+ 1 (exp x)))) (sqrt (/ (- (* (exp x) (exp x)) 1) (sqrt (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (exp x)) (sqrt (/ (- (* (exp x) (exp x)) 1) (sqrt (+ 1 (exp x)))))) (/ (* (sqrt (exp x)) (sqrt (+ 1 (exp x)))) (sqrt (/ (- (* (exp x) (exp x)) 1) (sqrt (+ 1 (exp x)))))))) * * * * [misc]progress: [ 429 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) 1) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (177 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (exp x)) (/ (cbrt (- (* (exp x) (exp x)) 1)) (cbrt (sqrt (+ (exp x) 1))))) (/ (cbrt (- (* (exp x) (exp x)) 1)) (cbrt (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (sqrt (exp x)) (/ (cbrt (- (* (exp x) (exp x)) 1)) (cbrt (sqrt (+ (exp x) 1))))) (/ (cbrt (- (* (exp x) (exp x)) 1)) (cbrt (sqrt (+ (exp x) 1))))) (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (cbrt (- (exp (+ x x)) 1)) (cbrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (cbrt (- (exp (+ x x)) 1)) (cbrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (200 enodes) * * [misc]simplify: iters left: 1 (478 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (exp x)) (sqrt (+ (exp x) 1))) (/ (cbrt (- (* (exp x) (exp x)) 1)) (cbrt (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (exp x)) 1) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))))) (/ (* (sqrt (exp x)) (sqrt (+ (exp x) 1))) (/ (cbrt (- (* (exp x) (exp x)) 1)) (cbrt (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 430 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) 1) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (sqrt (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (175 enodes) * * [misc]simplify: iters left: 1 (286 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (exp x)) (fabs (cbrt (+ 1 (exp x))))) (* (cbrt (- (* (exp x) (exp x)) 1)) (cbrt (- (* (exp x) (exp x)) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (sqrt (exp x)) (fabs (cbrt (+ 1 (exp x))))) (* (cbrt (- (* (exp x) (exp x)) 1)) (cbrt (- (* (exp x) (exp x)) 1)))) (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (cbrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (cbrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (236 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (exp x)) (cbrt (- (* (exp x) (exp x)) 1))) (* (sqrt (cbrt (+ (exp x) 1))) (sqrt (+ (exp x) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (sqrt (exp x)) (fabs (cbrt (+ 1 (exp x))))) (* (cbrt (- (* (exp x) (exp x)) 1)) (cbrt (- (* (exp x) (exp x)) 1)))) (* (/ (sqrt (exp x)) (cbrt (- (* (exp x) (exp x)) 1))) (* (sqrt (cbrt (+ (exp x) 1))) (sqrt (+ (exp x) 1)))))) * * * * [misc]progress: [ 431 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) 1) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (194 enodes) * * [misc]simplify: iters left: 1 (469 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ 1 (exp x)))) (cbrt (- (* (exp x) (exp x)) 1))) (/ (sqrt (exp x)) (cbrt (- (* (exp x) (exp x)) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (sqrt (sqrt (+ 1 (exp x)))) (cbrt (- (* (exp x) (exp x)) 1))) (/ (sqrt (exp x)) (cbrt (- (* (exp x) (exp x)) 1)))) (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (200 enodes) * * [misc]simplify: iters left: 1 (478 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (exp x)) (sqrt (+ (exp x) 1))) (/ (cbrt (- (* (exp x) (exp x)) 1)) (sqrt (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (exp x)) 1) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (sqrt (sqrt (+ 1 (exp x)))))) (/ (* (sqrt (exp x)) (sqrt (+ (exp x) 1))) (/ (cbrt (- (* (exp x) (exp x)) 1)) (sqrt (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 432 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) 1) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (sqrt 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (201 enodes) * * [misc]simplify: iters left: 1 (490 enodes) * [exit]simplify: Simplified to (/ (* (sqrt 1) (sqrt (exp x))) (* (cbrt (- (* (exp x) (exp x)) 1)) (cbrt (- (* (exp x) (exp x)) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (sqrt 1) (sqrt (exp x))) (* (cbrt (- (* (exp x) (exp x)) 1)) (cbrt (- (* (exp x) (exp x)) 1)))) (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (162 enodes) * * [misc]simplify: iters left: 1 (344 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (exp x)) (+ 1 (exp x))) (cbrt (- (* (exp x) (exp x)) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (exp x)) 1) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (sqrt 1))) (/ (* (sqrt (exp x)) (+ 1 (exp x))) (cbrt (- (* (exp x) (exp x)) 1))))) * * * * [misc]progress: [ 433 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) 1) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (194 enodes) * * [misc]simplify: iters left: 1 (469 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ 1 (exp x)))) (cbrt (- (* (exp x) (exp x)) 1))) (/ (sqrt (exp x)) (cbrt (- (* (exp x) (exp x)) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (sqrt (sqrt (+ 1 (exp x)))) (cbrt (- (* (exp x) (exp x)) 1))) (/ (sqrt (exp x)) (cbrt (- (* (exp x) (exp x)) 1)))) (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (200 enodes) * * [misc]simplify: iters left: 1 (478 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (exp x)) (sqrt (+ (exp x) 1))) (/ (cbrt (- (* (exp x) (exp x)) 1)) (sqrt (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (exp x)) 1) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (sqrt (sqrt (+ 1 (exp x)))))) (/ (* (sqrt (exp x)) (sqrt (+ (exp x) 1))) (/ (cbrt (- (* (exp x) (exp x)) 1)) (sqrt (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 434 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) 1) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (125 enodes) * * [misc]simplify: iters left: 1 (196 enodes) * [exit]simplify: Simplified to (/ (sqrt (exp x)) (* (cbrt (- (* (exp x) (exp x)) 1)) (cbrt (- (* (exp x) (exp x)) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (exp x)) (* (cbrt (- (* (exp x) (exp x)) 1)) (cbrt (- (* (exp x) (exp x)) 1)))) (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (162 enodes) * * [misc]simplify: iters left: 1 (344 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (exp x)) (+ 1 (exp x))) (cbrt (- (* (exp x) (exp x)) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (exp x)) (* (cbrt (- (* (exp x) (exp x)) 1)) (cbrt (- (* (exp x) (exp x)) 1)))) (/ (* (sqrt (exp x)) (+ 1 (exp x))) (cbrt (- (* (exp x) (exp x)) 1))))) * * * * [misc]progress: [ 435 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) 1) (/ (sqrt (- (exp (+ x x)) 1)) (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (168 enodes) * * [misc]simplify: iters left: 1 (436 enodes) * [exit]simplify: Simplified to (* (* (sqrt (exp x)) (cbrt (sqrt (+ 1 (exp x))))) (/ (cbrt (sqrt (+ 1 (exp x)))) (sqrt (- (* (exp x) (exp x)) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (* (sqrt (exp x)) (cbrt (sqrt (+ 1 (exp x))))) (/ (cbrt (sqrt (+ 1 (exp x)))) (sqrt (- (* (exp x) (exp x)) 1)))) (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (sqrt (- (exp (+ x x)) 1)) (cbrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (sqrt (- (exp (+ x x)) 1)) (cbrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (200 enodes) * * [misc]simplify: iters left: 1 (478 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (exp x)) (sqrt (+ (exp x) 1))) (/ (sqrt (- (* (exp x) (exp x)) 1)) (cbrt (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (* (sqrt (exp x)) (cbrt (sqrt (+ 1 (exp x))))) (/ (cbrt (sqrt (+ 1 (exp x)))) (sqrt (- (* (exp x) (exp x)) 1)))) (/ (* (sqrt (exp x)) (sqrt (+ (exp x) 1))) (/ (sqrt (- (* (exp x) (exp x)) 1)) (cbrt (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 436 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) 1) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (113 enodes) * [exit]simplify: Simplified to (/ (sqrt (exp x)) (/ (sqrt (- (* (exp x) (exp x)) 1)) (fabs (cbrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (exp x)) (/ (sqrt (- (* (exp x) (exp x)) 1)) (fabs (cbrt (+ (exp x) 1))))) (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (cbrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (cbrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (236 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (exp x)) (sqrt (- (* (exp x) (exp x)) 1))) (* (sqrt (cbrt (+ (exp x) 1))) (sqrt (+ (exp x) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (exp x)) (/ (sqrt (- (* (exp x) (exp x)) 1)) (fabs (cbrt (+ (exp x) 1))))) (* (/ (sqrt (exp x)) (sqrt (- (* (exp x) (exp x)) 1))) (* (sqrt (cbrt (+ (exp x) 1))) (sqrt (+ (exp x) 1)))))) * * * * [misc]progress: [ 437 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) 1) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (77 enodes) * * [misc]simplify: iters left: 1 (146 enodes) * [exit]simplify: Simplified to (/ (sqrt (exp x)) (/ (sqrt (- (* (exp x) (exp x)) 1)) (sqrt (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (exp x)) (/ (sqrt (- (* (exp x) (exp x)) 1)) (sqrt (sqrt (+ (exp x) 1))))) (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (200 enodes) * * [misc]simplify: iters left: 1 (478 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (exp x)) (sqrt (+ (exp x) 1))) (/ (sqrt (- (* (exp x) (exp x)) 1)) (sqrt (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (exp x)) (/ (sqrt (- (* (exp x) (exp x)) 1)) (sqrt (sqrt (+ (exp x) 1))))) (/ (* (sqrt (exp x)) (sqrt (+ (exp x) 1))) (/ (sqrt (- (* (exp x) (exp x)) 1)) (sqrt (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 438 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) 1) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: iters left: 1 (157 enodes) * [exit]simplify: Simplified to (/ (* (sqrt 1) (sqrt (exp x))) (sqrt (- (* (exp x) (exp x)) 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (sqrt 1) (sqrt (exp x))) (sqrt (- (* (exp x) (exp x)) 1))) (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (162 enodes) * * [misc]simplify: iters left: 1 (344 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (exp x)) (+ 1 (exp x))) (sqrt (- (* (exp x) (exp x)) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (sqrt 1) (sqrt (exp x))) (sqrt (- (* (exp x) (exp x)) 1))) (/ (* (sqrt (exp x)) (+ 1 (exp x))) (sqrt (- (* (exp x) (exp x)) 1))))) * * * * [misc]progress: [ 439 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) 1) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (77 enodes) * * [misc]simplify: iters left: 1 (146 enodes) * [exit]simplify: Simplified to (/ (sqrt (exp x)) (/ (sqrt (- (* (exp x) (exp x)) 1)) (sqrt (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (exp x)) (/ (sqrt (- (* (exp x) (exp x)) 1)) (sqrt (sqrt (+ (exp x) 1))))) (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (200 enodes) * * [misc]simplify: iters left: 1 (478 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (exp x)) (sqrt (+ (exp x) 1))) (/ (sqrt (- (* (exp x) (exp x)) 1)) (sqrt (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (exp x)) (/ (sqrt (- (* (exp x) (exp x)) 1)) (sqrt (sqrt (+ (exp x) 1))))) (/ (* (sqrt (exp x)) (sqrt (+ (exp x) 1))) (/ (sqrt (- (* (exp x) (exp x)) 1)) (sqrt (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 440 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) 1) (/ (sqrt (- (exp (+ x x)) 1)) 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (118 enodes) * [exit]simplify: Simplified to (/ (sqrt (exp x)) (sqrt (- (* (exp x) (exp x)) 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (exp x)) (sqrt (- (* (exp x) (exp x)) 1))) (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (162 enodes) * * [misc]simplify: iters left: 1 (344 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (exp x)) (+ 1 (exp x))) (sqrt (- (* (exp x) (exp x)) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (exp x)) (sqrt (- (* (exp x) (exp x)) 1))) (/ (* (sqrt (exp x)) (+ 1 (exp x))) (sqrt (- (* (exp x) (exp x)) 1))))) * * * * [misc]progress: [ 441 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) 1) (/ 1 (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (76 enodes) * [exit]simplify: Simplified to (* (* (cbrt (sqrt (+ (exp x) 1))) (sqrt (exp x))) (cbrt (sqrt (+ (exp x) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (* (cbrt (sqrt (+ (exp x) 1))) (sqrt (exp x))) (cbrt (sqrt (+ (exp x) 1)))) (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp (+ x x)) 1) (cbrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp (+ x x)) 1) (cbrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (139 enodes) * * [misc]simplify: iters left: 2 (380 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (+ (exp x) 1))) (* (sqrt (exp x)) (sqrt (+ (exp x) 1)))) (- (* (exp x) (exp x)) 1)) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (* (cbrt (sqrt (+ (exp x) 1))) (sqrt (exp x))) (cbrt (sqrt (+ (exp x) 1)))) (/ (* (cbrt (sqrt (+ (exp x) 1))) (* (sqrt (exp x)) (sqrt (+ (exp x) 1)))) (- (* (exp x) (exp x)) 1)))) * * * * [misc]progress: [ 442 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) 1) (/ 1 (sqrt (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * [exit]simplify: Simplified to (* (sqrt (exp x)) (fabs (cbrt (+ (exp x) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (sqrt (exp x)) (fabs (cbrt (+ (exp x) 1)))) (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp (+ x x)) 1) (sqrt (cbrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp (+ x x)) 1) (sqrt (cbrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (139 enodes) * * [misc]simplify: iters left: 2 (415 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (exp x)) (+ (exp x) 1)) (* (sqrt (cbrt (+ (exp x) 1))) (/ (sqrt (+ (exp x) 1)) (- (exp x) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt (exp x)) (fabs (cbrt (+ (exp x) 1)))) (* (/ (sqrt (exp x)) (+ (exp x) 1)) (* (sqrt (cbrt (+ (exp x) 1))) (/ (sqrt (+ (exp x) 1)) (- (exp x) 1)))))) * * * * [misc]progress: [ 443 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) 1) (/ 1 (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ (exp x) 1))) (sqrt (exp x))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (sqrt (sqrt (+ (exp x) 1))) (sqrt (exp x))) (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp (+ x x)) 1) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp (+ x x)) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (139 enodes) * * [misc]simplify: iters left: 2 (380 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (sqrt (+ (exp x) 1))) (* (sqrt (exp x)) (sqrt (+ (exp x) 1)))) (- (* (exp x) (exp x)) 1)) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt (sqrt (+ (exp x) 1))) (sqrt (exp x))) (/ (* (sqrt (sqrt (+ (exp x) 1))) (* (sqrt (exp x)) (sqrt (+ (exp x) 1)))) (- (* (exp x) (exp x)) 1)))) * * * * [misc]progress: [ 444 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) 1) (/ 1 (sqrt 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (* (sqrt (exp x)) (sqrt 1)) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (sqrt (exp x)) (sqrt 1)) (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (141 enodes) * * [misc]simplify: iters left: 2 (403 enodes) * [exit]simplify: Simplified to (/ (sqrt (exp x)) (- (exp x) 1)) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt (exp x)) (sqrt 1)) (/ (sqrt (exp x)) (- (exp x) 1)))) * * * * [misc]progress: [ 445 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) 1) (/ 1 (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ (exp x) 1))) (sqrt (exp x))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (sqrt (sqrt (+ (exp x) 1))) (sqrt (exp x))) (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp (+ x x)) 1) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp (+ x x)) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (139 enodes) * * [misc]simplify: iters left: 2 (380 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (sqrt (+ (exp x) 1))) (* (sqrt (exp x)) (sqrt (+ (exp x) 1)))) (- (* (exp x) (exp x)) 1)) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt (sqrt (+ (exp x) 1))) (sqrt (exp x))) (/ (* (sqrt (sqrt (+ (exp x) 1))) (* (sqrt (exp x)) (sqrt (+ (exp x) 1)))) (- (* (exp x) (exp x)) 1)))) * * * * [misc]progress: [ 446 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) 1) (/ 1 1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (sqrt (exp x)) * [misc]simplify: Simplified (2 1) to (λ (x) (* (sqrt (exp x)) (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (141 enodes) * * [misc]simplify: iters left: 2 (403 enodes) * [exit]simplify: Simplified to (/ (sqrt (exp x)) (- (exp x) 1)) * [misc]simplify: Simplified (2 2) to (λ (x) (* (sqrt (exp x)) (/ (sqrt (exp x)) (- (exp x) 1)))) * * * * [misc]progress: [ 447 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) 1) (/ (+ (exp x) 1) (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (109 enodes) * * [misc]simplify: iters left: 1 (234 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 (exp x)))) (+ 1 (exp x))) (* (cbrt (sqrt (+ 1 (exp x)))) (sqrt (exp x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (cbrt (sqrt (+ 1 (exp x)))) (+ 1 (exp x))) (* (cbrt (sqrt (+ 1 (exp x)))) (sqrt (exp x)))) (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp x) 1) (cbrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp x) 1) (cbrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (112 enodes) * * [misc]simplify: iters left: 2 (221 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ (exp x) 1))) (* (/ (sqrt (exp x)) (- (exp x) 1)) (sqrt (+ (exp x) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (cbrt (sqrt (+ 1 (exp x)))) (+ 1 (exp x))) (* (cbrt (sqrt (+ 1 (exp x)))) (sqrt (exp x)))) (* (cbrt (sqrt (+ (exp x) 1))) (* (/ (sqrt (exp x)) (- (exp x) 1)) (sqrt (+ (exp x) 1)))))) * * * * [misc]progress: [ 448 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) 1) (/ (+ (exp x) 1) (sqrt (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (68 enodes) * [exit]simplify: Simplified to (* (fabs (cbrt (+ 1 (exp x)))) (/ (sqrt (exp x)) (+ 1 (exp x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (fabs (cbrt (+ 1 (exp x)))) (/ (sqrt (exp x)) (+ 1 (exp x)))) (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp x) 1) (sqrt (cbrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp x) 1) (sqrt (cbrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (112 enodes) * * [misc]simplify: iters left: 2 (281 enodes) * [exit]simplify: Simplified to (* (* (/ (sqrt (exp x)) (- (exp x) 1)) (sqrt (+ (exp x) 1))) (sqrt (cbrt (+ (exp x) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (fabs (cbrt (+ 1 (exp x)))) (/ (sqrt (exp x)) (+ 1 (exp x)))) (* (* (/ (sqrt (exp x)) (- (exp x) 1)) (sqrt (+ (exp x) 1))) (sqrt (cbrt (+ (exp x) 1)))))) * * * * [misc]progress: [ 449 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) 1) (/ (+ (exp x) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (91 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ 1 (exp x)))) (/ (sqrt (exp x)) (+ 1 (exp x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (sqrt (sqrt (+ 1 (exp x)))) (/ (sqrt (exp x)) (+ 1 (exp x)))) (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp x) 1) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp x) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (112 enodes) * * [misc]simplify: iters left: 2 (221 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ (exp x) 1))) (* (/ (sqrt (exp x)) (- (exp x) 1)) (sqrt (+ (exp x) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt (sqrt (+ 1 (exp x)))) (/ (sqrt (exp x)) (+ 1 (exp x)))) (* (sqrt (sqrt (+ (exp x) 1))) (* (/ (sqrt (exp x)) (- (exp x) 1)) (sqrt (+ (exp x) 1)))))) * * * * [misc]progress: [ 450 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) 1) (/ (+ (exp x) 1) (sqrt 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (89 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (exp x)) (+ 1 (exp x))) (sqrt 1)) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (sqrt (exp x)) (+ 1 (exp x))) (sqrt 1)) (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp x) 1) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp x) 1) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (235 enodes) * * [misc]simplify: iters left: 1 (479 enodes) * [exit]simplify: Simplified to (* (sqrt (exp x)) (/ (+ 1 (exp x)) (- (exp x) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (sqrt (exp x)) (+ 1 (exp x))) (sqrt 1)) (* (sqrt (exp x)) (/ (+ 1 (exp x)) (- (exp x) 1))))) * * * * [misc]progress: [ 451 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) 1) (/ (+ (exp x) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (91 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ 1 (exp x)))) (/ (sqrt (exp x)) (+ 1 (exp x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (sqrt (sqrt (+ 1 (exp x)))) (/ (sqrt (exp x)) (+ 1 (exp x)))) (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp x) 1) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp x) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (112 enodes) * * [misc]simplify: iters left: 2 (221 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ (exp x) 1))) (* (/ (sqrt (exp x)) (- (exp x) 1)) (sqrt (+ (exp x) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt (sqrt (+ 1 (exp x)))) (/ (sqrt (exp x)) (+ 1 (exp x)))) (* (sqrt (sqrt (+ (exp x) 1))) (* (/ (sqrt (exp x)) (- (exp x) 1)) (sqrt (+ (exp x) 1)))))) * * * * [misc]progress: [ 452 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) 1) (/ (+ (exp x) 1) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (85 enodes) * [exit]simplify: Simplified to (/ (sqrt (exp x)) (+ (exp x) 1)) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (exp x)) (+ (exp x) 1)) (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp x) 1) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp x) 1) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (235 enodes) * * [misc]simplify: iters left: 1 (479 enodes) * [exit]simplify: Simplified to (* (sqrt (exp x)) (/ (+ 1 (exp x)) (- (exp x) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (exp x)) (+ (exp x) 1)) (* (sqrt (exp x)) (/ (+ 1 (exp x)) (- (exp x) 1))))) * * * * [misc]progress: [ 453 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) 1) (/ (+ (sqrt (exp (+ x x))) 1) (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (117 enodes) * * [misc]simplify: iters left: 1 (239 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (+ (exp x) 1))) (cbrt (sqrt (+ (exp x) 1)))) (/ (+ 1 (fabs (exp x))) (sqrt (exp x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (cbrt (sqrt (+ (exp x) 1))) (cbrt (sqrt (+ (exp x) 1)))) (/ (+ 1 (fabs (exp x))) (sqrt (exp x)))) (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (sqrt (exp (+ x x))) 1) (cbrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (sqrt (exp (+ x x))) 1) (cbrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (117 enodes) * * [misc]simplify: iters left: 2 (228 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (+ (exp x) 1)) (sqrt (exp x))) (/ (- (fabs (exp x)) 1) (cbrt (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (cbrt (sqrt (+ (exp x) 1))) (cbrt (sqrt (+ (exp x) 1)))) (/ (+ 1 (fabs (exp x))) (sqrt (exp x)))) (/ (* (sqrt (+ (exp x) 1)) (sqrt (exp x))) (/ (- (fabs (exp x)) 1) (cbrt (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 454 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) 1) (/ (+ (sqrt (exp (+ x x))) 1) (sqrt (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (* (fabs (cbrt (+ (exp x) 1))) (/ (sqrt (exp x)) (+ 1 (fabs (exp x))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (fabs (cbrt (+ (exp x) 1))) (/ (sqrt (exp x)) (+ 1 (fabs (exp x))))) (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (cbrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (cbrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (117 enodes) * * [misc]simplify: iters left: 2 (268 enodes) * [exit]simplify: Simplified to (/ (sqrt (exp x)) (/ (/ (- (fabs (exp x)) 1) (sqrt (+ (exp x) 1))) (sqrt (cbrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (fabs (cbrt (+ (exp x) 1))) (/ (sqrt (exp x)) (+ 1 (fabs (exp x))))) (/ (sqrt (exp x)) (/ (/ (- (fabs (exp x)) 1) (sqrt (+ (exp x) 1))) (sqrt (cbrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 455 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) 1) (/ (+ (sqrt (exp (+ x x))) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (91 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (exp x)) (+ 1 (fabs (exp x)))) (sqrt (sqrt (+ (exp x) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (sqrt (exp x)) (+ 1 (fabs (exp x)))) (sqrt (sqrt (+ (exp x) 1)))) (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (117 enodes) * * [misc]simplify: iters left: 2 (228 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (+ (exp x) 1)) (sqrt (exp x))) (/ (- (fabs (exp x)) 1) (sqrt (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (sqrt (exp x)) (+ 1 (fabs (exp x)))) (sqrt (sqrt (+ (exp x) 1)))) (/ (* (sqrt (+ (exp x) 1)) (sqrt (exp x))) (/ (- (fabs (exp x)) 1) (sqrt (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 456 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) 1) (/ (+ (sqrt (exp (+ x x))) 1) (sqrt 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (90 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (exp x)) (sqrt 1)) (+ 1 (fabs (exp x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (sqrt (exp x)) (sqrt 1)) (+ 1 (fabs (exp x)))) (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (121 enodes) * * [misc]simplify: iters left: 2 (247 enodes) * * [misc]simplify: iters left: 1 (492 enodes) * [exit]simplify: Simplified to (/ (* (+ (exp x) 1) (sqrt (exp x))) (- (fabs (exp x)) 1)) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (sqrt (exp x)) (sqrt 1)) (+ 1 (fabs (exp x)))) (/ (* (+ (exp x) 1) (sqrt (exp x))) (- (fabs (exp x)) 1)))) * * * * [misc]progress: [ 457 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) 1) (/ (+ (sqrt (exp (+ x x))) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (91 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (exp x)) (+ 1 (fabs (exp x)))) (sqrt (sqrt (+ (exp x) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (sqrt (exp x)) (+ 1 (fabs (exp x)))) (sqrt (sqrt (+ (exp x) 1)))) (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (117 enodes) * * [misc]simplify: iters left: 2 (228 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (+ (exp x) 1)) (sqrt (exp x))) (/ (- (fabs (exp x)) 1) (sqrt (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (sqrt (exp x)) (+ 1 (fabs (exp x)))) (sqrt (sqrt (+ (exp x) 1)))) (/ (* (sqrt (+ (exp x) 1)) (sqrt (exp x))) (/ (- (fabs (exp x)) 1) (sqrt (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 458 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) 1) (/ (+ (sqrt (exp (+ x x))) 1) 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (/ (sqrt (exp x)) (+ 1 (fabs (exp x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (exp x)) (+ 1 (fabs (exp x)))) (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (121 enodes) * * [misc]simplify: iters left: 2 (247 enodes) * * [misc]simplify: iters left: 1 (492 enodes) * [exit]simplify: Simplified to (/ (* (+ (exp x) 1) (sqrt (exp x))) (- (fabs (exp x)) 1)) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (exp x)) (+ 1 (fabs (exp x)))) (/ (* (+ (exp x) 1) (sqrt (exp x))) (- (fabs (exp x)) 1)))) * * * * [misc]progress: [ 459 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) 1) 1) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (sqrt (exp x)) * [misc]simplify: Simplified (2 1) to (λ (x) (* (sqrt (exp x)) (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (141 enodes) * * [misc]simplify: iters left: 2 (403 enodes) * [exit]simplify: Simplified to (/ (sqrt (exp x)) (- (exp x) 1)) * [misc]simplify: Simplified (2 2) to (λ (x) (* (sqrt (exp x)) (/ (sqrt (exp x)) (- (exp x) 1)))) * * * * [misc]progress: [ 460 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) 1) (- (exp (+ x x)) 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (111 enodes) * [exit]simplify: Simplified to (/ (sqrt (exp x)) (- (exp (+ x x)) 1)) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (exp x)) (- (exp (+ x x)) 1)) (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ 1 (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (/ 1 (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (95 enodes) * [exit]simplify: Simplified to (* (+ (exp x) 1) (sqrt (exp x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (exp x)) (- (exp (+ x x)) 1)) (* (+ (exp x) 1) (sqrt (exp x))))) * * * * [misc]progress: [ 461 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) 1) (/ (- (exp (+ x x)) 1) (sqrt (+ (pow 1 3) (pow (exp x) 3))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (193 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (pow (exp x) 3) 1)) (/ (sqrt (exp x)) (- (* (exp x) (exp x)) 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (sqrt (+ (pow (exp x) 3) 1)) (/ (sqrt (exp x)) (- (* (exp x) (exp x)) 1))) (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (sqrt (+ (* 1 1) (- (* (exp x) (exp x)) (* 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (sqrt (+ (* 1 1) (- (* (exp x) (exp x)) (* 1 (exp x)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (114 enodes) * * [misc]simplify: iters left: 2 (143 enodes) * * [misc]simplify: iters left: 1 (199 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (+ (exp x) 1)) (sqrt (exp x))) (sqrt (- (* (exp x) (exp x)) (- (exp x) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt (+ (pow (exp x) 3) 1)) (/ (sqrt (exp x)) (- (* (exp x) (exp x)) 1))) (/ (* (sqrt (+ (exp x) 1)) (sqrt (exp x))) (sqrt (- (* (exp x) (exp x)) (- (exp x) 1)))))) * * * * [misc]progress: [ 462 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) 1) (/ (- (exp (+ x x)) 1) (sqrt (- (* 1 1) (* (exp x) (exp x)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (173 enodes) * * [misc]simplify: iters left: 1 (487 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 (* (exp x) (exp x)))) (/ (- (* (exp x) (exp x)) 1) (sqrt (exp x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (- 1 (* (exp x) (exp x)))) (/ (- (* (exp x) (exp x)) 1) (sqrt (exp x)))) (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (sqrt (- 1 (exp x)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) (sqrt (- 1 (exp x)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (123 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (+ (exp x) 1)) (sqrt (exp x))) (sqrt (- 1 (exp x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (- 1 (* (exp x) (exp x)))) (/ (- (* (exp x) (exp x)) 1) (sqrt (exp x)))) (/ (* (sqrt (+ (exp x) 1)) (sqrt (exp x))) (sqrt (- 1 (exp x)))))) * * * * [misc]progress: [ 463 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (pow (exp x) 3) (pow 1 3))))) (* (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))) (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (117 enodes) * * [misc]simplify: iters left: 2 (226 enodes) * * [misc]simplify: iters left: 1 (485 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (exp x)) (cbrt (/ (- (* (exp x) (exp x)) 1) (sqrt (+ 1 (exp x)))))) (/ (sqrt (+ (pow (exp x) 3) 1)) (cbrt (/ (- (* (exp x) (exp x)) 1) (sqrt (+ 1 (exp x))))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (sqrt (exp x)) (cbrt (/ (- (* (exp x) (exp x)) 1) (sqrt (+ 1 (exp x)))))) (/ (sqrt (+ (pow (exp x) 3) 1)) (cbrt (/ (- (* (exp x) (exp x)) 1) (sqrt (+ 1 (exp x))))))) (/ (/ (sqrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (156 enodes) * * [misc]simplify: iters left: 1 (256 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- 1 (exp x))))) (cbrt (/ (- (* (exp x) (exp x)) 1) (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (sqrt (exp x)) (cbrt (/ (- (* (exp x) (exp x)) 1) (sqrt (+ 1 (exp x)))))) (/ (sqrt (+ (pow (exp x) 3) 1)) (cbrt (/ (- (* (exp x) (exp x)) 1) (sqrt (+ 1 (exp x))))))) (/ (/ (sqrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- 1 (exp x))))) (cbrt (/ (- (* (exp x) (exp x)) 1) (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 464 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (pow (exp x) 3) (pow 1 3))))) (sqrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (156 enodes) * * [misc]simplify: iters left: 1 (276 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (exp x)) (sqrt (+ (pow (exp x) 3) 1))) (sqrt (/ (- (* (exp x) (exp x)) 1) (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (sqrt (exp x)) (sqrt (+ (pow (exp x) 3) 1))) (sqrt (/ (- (* (exp x) (exp x)) 1) (sqrt (+ (exp x) 1))))) (/ (/ (sqrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (sqrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (sqrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (156 enodes) * * [misc]simplify: iters left: 1 (256 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- 1 (exp x))))) (sqrt (/ (- (* (exp x) (exp x)) 1) (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (sqrt (exp x)) (sqrt (+ (pow (exp x) 3) 1))) (sqrt (/ (- (* (exp x) (exp x)) 1) (sqrt (+ (exp x) 1))))) (/ (/ (sqrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- 1 (exp x))))) (sqrt (/ (- (* (exp x) (exp x)) 1) (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 465 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (pow (exp x) 3) (pow 1 3))))) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (100 enodes) * * [misc]simplify: iters left: 3 (272 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (exp x)) (/ (cbrt (- (* (exp x) (exp x)) 1)) (cbrt (sqrt (+ (exp x) 1))))) (/ (/ (cbrt (- (* (exp x) (exp x)) 1)) (cbrt (sqrt (+ (exp x) 1)))) (sqrt (+ (pow (exp x) 3) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (sqrt (exp x)) (/ (cbrt (- (* (exp x) (exp x)) 1)) (cbrt (sqrt (+ (exp x) 1))))) (/ (/ (cbrt (- (* (exp x) (exp x)) 1)) (cbrt (sqrt (+ (exp x) 1)))) (sqrt (+ (pow (exp x) 3) 1)))) (/ (/ (sqrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (cbrt (- (exp (+ x x)) 1)) (cbrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (cbrt (- (exp (+ x x)) 1)) (cbrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (148 enodes) * * [misc]simplify: iters left: 1 (223 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- 1 (exp x))))) (/ (cbrt (sqrt (+ (exp x) 1))) (cbrt (- (* (exp x) (exp x)) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (exp x)) (/ (cbrt (- (* (exp x) (exp x)) 1)) (cbrt (sqrt (+ (exp x) 1))))) (/ (/ (cbrt (- (* (exp x) (exp x)) 1)) (cbrt (sqrt (+ (exp x) 1)))) (sqrt (+ (pow (exp x) 3) 1)))) (* (/ (sqrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- 1 (exp x))))) (/ (cbrt (sqrt (+ (exp x) 1))) (cbrt (- (* (exp x) (exp x)) 1)))))) * * * * [misc]progress: [ 466 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (pow (exp x) 3) (pow 1 3))))) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (sqrt (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (180 enodes) * [exit]simplify: Simplified to (/ (* (* (sqrt (exp x)) (sqrt (+ (pow (exp x) 3) 1))) (/ (fabs (cbrt (+ (exp x) 1))) (cbrt (- (* (exp x) (exp x)) 1)))) (cbrt (- (* (exp x) (exp x)) 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (* (sqrt (exp x)) (sqrt (+ (pow (exp x) 3) 1))) (/ (fabs (cbrt (+ (exp x) 1))) (cbrt (- (* (exp x) (exp x)) 1)))) (cbrt (- (* (exp x) (exp x)) 1))) (/ (/ (sqrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (cbrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (cbrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (148 enodes) * * [misc]simplify: iters left: 1 (223 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- 1 (exp x))))) (/ (sqrt (cbrt (+ (exp x) 1))) (cbrt (- (* (exp x) (exp x)) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (* (sqrt (exp x)) (sqrt (+ (pow (exp x) 3) 1))) (/ (fabs (cbrt (+ (exp x) 1))) (cbrt (- (* (exp x) (exp x)) 1)))) (cbrt (- (* (exp x) (exp x)) 1))) (* (/ (sqrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- 1 (exp x))))) (/ (sqrt (cbrt (+ (exp x) 1))) (cbrt (- (* (exp x) (exp x)) 1)))))) * * * * [misc]progress: [ 467 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (pow (exp x) 3) (pow 1 3))))) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (178 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (+ (pow (exp x) 3) 1)) (/ (sqrt (sqrt (+ (exp x) 1))) (cbrt (- (* (exp x) (exp x)) 1)))) (/ (cbrt (- (* (exp x) (exp x)) 1)) (sqrt (exp x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (sqrt (+ (pow (exp x) 3) 1)) (/ (sqrt (sqrt (+ (exp x) 1))) (cbrt (- (* (exp x) (exp x)) 1)))) (/ (cbrt (- (* (exp x) (exp x)) 1)) (sqrt (exp x)))) (/ (/ (sqrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (148 enodes) * * [misc]simplify: iters left: 1 (223 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- 1 (exp x))))) (/ (sqrt (sqrt (+ (exp x) 1))) (cbrt (- (* (exp x) (exp x)) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (sqrt (+ (pow (exp x) 3) 1)) (/ (sqrt (sqrt (+ (exp x) 1))) (cbrt (- (* (exp x) (exp x)) 1)))) (/ (cbrt (- (* (exp x) (exp x)) 1)) (sqrt (exp x)))) (* (/ (sqrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- 1 (exp x))))) (/ (sqrt (sqrt (+ (exp x) 1))) (cbrt (- (* (exp x) (exp x)) 1)))))) * * * * [misc]progress: [ 468 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (pow (exp x) 3) (pow 1 3))))) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (sqrt 1))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (177 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (+ (pow (exp x) 3) 1)) (cbrt (- (* (exp x) (exp x)) 1))) (/ (* (sqrt (exp x)) (sqrt 1)) (cbrt (- (* (exp x) (exp x)) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (sqrt (+ (pow (exp x) 3) 1)) (cbrt (- (* (exp x) (exp x)) 1))) (/ (* (sqrt (exp x)) (sqrt 1)) (cbrt (- (* (exp x) (exp x)) 1)))) (/ (/ (sqrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (145 enodes) * * [misc]simplify: iters left: 1 (227 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (exp x)) (sqrt (+ (exp x) 1))) (* (cbrt (- (* (exp x) (exp x)) 1)) (sqrt (- (* (exp x) (exp x)) (- (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (sqrt (+ (pow (exp x) 3) 1)) (cbrt (- (* (exp x) (exp x)) 1))) (/ (* (sqrt (exp x)) (sqrt 1)) (cbrt (- (* (exp x) (exp x)) 1)))) (/ (* (sqrt (exp x)) (sqrt (+ (exp x) 1))) (* (cbrt (- (* (exp x) (exp x)) 1)) (sqrt (- (* (exp x) (exp x)) (- (exp x) 1))))))) * * * * [misc]progress: [ 469 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (pow (exp x) 3) (pow 1 3))))) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (178 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (+ (pow (exp x) 3) 1)) (/ (sqrt (sqrt (+ (exp x) 1))) (cbrt (- (* (exp x) (exp x)) 1)))) (/ (cbrt (- (* (exp x) (exp x)) 1)) (sqrt (exp x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (sqrt (+ (pow (exp x) 3) 1)) (/ (sqrt (sqrt (+ (exp x) 1))) (cbrt (- (* (exp x) (exp x)) 1)))) (/ (cbrt (- (* (exp x) (exp x)) 1)) (sqrt (exp x)))) (/ (/ (sqrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (148 enodes) * * [misc]simplify: iters left: 1 (223 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- 1 (exp x))))) (/ (sqrt (sqrt (+ (exp x) 1))) (cbrt (- (* (exp x) (exp x)) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (sqrt (+ (pow (exp x) 3) 1)) (/ (sqrt (sqrt (+ (exp x) 1))) (cbrt (- (* (exp x) (exp x)) 1)))) (/ (cbrt (- (* (exp x) (exp x)) 1)) (sqrt (exp x)))) (* (/ (sqrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- 1 (exp x))))) (/ (sqrt (sqrt (+ (exp x) 1))) (cbrt (- (* (exp x) (exp x)) 1)))))) * * * * [misc]progress: [ 470 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (pow (exp x) 3) (pow 1 3))))) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) 1)) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (130 enodes) * * [misc]simplify: iters left: 2 (316 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (exp x)) (sqrt (+ (pow (exp x) 3) 1))) (* (cbrt (- (* (exp x) (exp x)) 1)) (cbrt (- (* (exp x) (exp x)) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (sqrt (exp x)) (sqrt (+ (pow (exp x) 3) 1))) (* (cbrt (- (* (exp x) (exp x)) 1)) (cbrt (- (* (exp x) (exp x)) 1)))) (/ (/ (sqrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (145 enodes) * * [misc]simplify: iters left: 1 (227 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (exp x)) (sqrt (+ (exp x) 1))) (* (cbrt (- (* (exp x) (exp x)) 1)) (sqrt (- (* (exp x) (exp x)) (- (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (sqrt (exp x)) (sqrt (+ (pow (exp x) 3) 1))) (* (cbrt (- (* (exp x) (exp x)) 1)) (cbrt (- (* (exp x) (exp x)) 1)))) (/ (* (sqrt (exp x)) (sqrt (+ (exp x) 1))) (* (cbrt (- (* (exp x) (exp x)) 1)) (sqrt (- (* (exp x) (exp x)) (- (exp x) 1))))))) * * * * [misc]progress: [ 471 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (pow (exp x) 3) (pow 1 3))))) (/ (sqrt (- (exp (+ x x)) 1)) (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (152 enodes) * * [misc]simplify: iters left: 2 (406 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (exp x)) (sqrt (- (* (exp x) (exp x)) 1))) (* (* (cbrt (sqrt (+ (exp x) 1))) (sqrt (+ (pow (exp x) 3) 1))) (cbrt (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (sqrt (exp x)) (sqrt (- (* (exp x) (exp x)) 1))) (* (* (cbrt (sqrt (+ (exp x) 1))) (sqrt (+ (pow (exp x) 3) 1))) (cbrt (sqrt (+ (exp x) 1))))) (/ (/ (sqrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (cbrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (cbrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (148 enodes) * * [misc]simplify: iters left: 1 (223 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- 1 (exp x))))) (/ (cbrt (sqrt (+ (exp x) 1))) (sqrt (- (* (exp x) (exp x)) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (sqrt (exp x)) (sqrt (- (* (exp x) (exp x)) 1))) (* (* (cbrt (sqrt (+ (exp x) 1))) (sqrt (+ (pow (exp x) 3) 1))) (cbrt (sqrt (+ (exp x) 1))))) (* (/ (sqrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- 1 (exp x))))) (/ (cbrt (sqrt (+ (exp x) 1))) (sqrt (- (* (exp x) (exp x)) 1)))))) * * * * [misc]progress: [ 472 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (pow (exp x) 3) (pow 1 3))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (120 enodes) * * [misc]simplify: iters left: 2 (269 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (exp x)) (fabs (cbrt (+ (exp x) 1)))) (/ (sqrt (- (* (exp x) (exp x)) 1)) (sqrt (+ (pow (exp x) 3) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (sqrt (exp x)) (fabs (cbrt (+ (exp x) 1)))) (/ (sqrt (- (* (exp x) (exp x)) 1)) (sqrt (+ (pow (exp x) 3) 1)))) (/ (/ (sqrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (cbrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (cbrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (148 enodes) * * [misc]simplify: iters left: 1 (223 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- 1 (exp x))))) (/ (sqrt (cbrt (+ (exp x) 1))) (sqrt (- (* (exp x) (exp x)) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (sqrt (exp x)) (fabs (cbrt (+ (exp x) 1)))) (/ (sqrt (- (* (exp x) (exp x)) 1)) (sqrt (+ (pow (exp x) 3) 1)))) (* (/ (sqrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- 1 (exp x))))) (/ (sqrt (cbrt (+ (exp x) 1))) (sqrt (- (* (exp x) (exp x)) 1)))))) * * * * [misc]progress: [ 473 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (pow (exp x) 3) (pow 1 3))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (118 enodes) * * [misc]simplify: iters left: 2 (259 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ (exp x) 1))) (sqrt (- (* (exp x) (exp x)) 1))) (* (sqrt (+ (pow (exp x) 3) 1)) (sqrt (exp x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (sqrt (sqrt (+ (exp x) 1))) (sqrt (- (* (exp x) (exp x)) 1))) (* (sqrt (+ (pow (exp x) 3) 1)) (sqrt (exp x)))) (/ (/ (sqrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (148 enodes) * * [misc]simplify: iters left: 1 (223 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- 1 (exp x))))) (/ (sqrt (sqrt (+ (exp x) 1))) (sqrt (- (* (exp x) (exp x)) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (sqrt (sqrt (+ (exp x) 1))) (sqrt (- (* (exp x) (exp x)) 1))) (* (sqrt (+ (pow (exp x) 3) 1)) (sqrt (exp x)))) (* (/ (sqrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- 1 (exp x))))) (/ (sqrt (sqrt (+ (exp x) 1))) (sqrt (- (* (exp x) (exp x)) 1)))))) * * * * [misc]progress: [ 474 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (pow (exp x) 3) (pow 1 3))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt 1))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (117 enodes) * * [misc]simplify: iters left: 2 (266 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (exp x)) (sqrt (- (* (exp x) (exp x)) 1))) (* (sqrt (+ (pow (exp x) 3) 1)) (sqrt 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (sqrt (exp x)) (sqrt (- (* (exp x) (exp x)) 1))) (* (sqrt (+ (pow (exp x) 3) 1)) (sqrt 1))) (/ (/ (sqrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (145 enodes) * * [misc]simplify: iters left: 1 (227 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (exp x)) (sqrt (+ (exp x) 1))) (* (sqrt (- (* (exp x) (exp x)) 1)) (sqrt (- (* (exp x) (exp x)) (- (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (sqrt (exp x)) (sqrt (- (* (exp x) (exp x)) 1))) (* (sqrt (+ (pow (exp x) 3) 1)) (sqrt 1))) (/ (* (sqrt (exp x)) (sqrt (+ (exp x) 1))) (* (sqrt (- (* (exp x) (exp x)) 1)) (sqrt (- (* (exp x) (exp x)) (- (exp x) 1))))))) * * * * [misc]progress: [ 475 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (pow (exp x) 3) (pow 1 3))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (118 enodes) * * [misc]simplify: iters left: 2 (259 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ (exp x) 1))) (sqrt (- (* (exp x) (exp x)) 1))) (* (sqrt (+ (pow (exp x) 3) 1)) (sqrt (exp x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (sqrt (sqrt (+ (exp x) 1))) (sqrt (- (* (exp x) (exp x)) 1))) (* (sqrt (+ (pow (exp x) 3) 1)) (sqrt (exp x)))) (/ (/ (sqrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (148 enodes) * * [misc]simplify: iters left: 1 (223 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- 1 (exp x))))) (/ (sqrt (sqrt (+ (exp x) 1))) (sqrt (- (* (exp x) (exp x)) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (sqrt (sqrt (+ (exp x) 1))) (sqrt (- (* (exp x) (exp x)) 1))) (* (sqrt (+ (pow (exp x) 3) 1)) (sqrt (exp x)))) (* (/ (sqrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- 1 (exp x))))) (/ (sqrt (sqrt (+ (exp x) 1))) (sqrt (- (* (exp x) (exp x)) 1)))))) * * * * [misc]progress: [ 476 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (pow (exp x) 3) (pow 1 3))))) (/ (sqrt (- (exp (+ x x)) 1)) 1)) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (168 enodes) * * [misc]simplify: iters left: 1 (322 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (+ (pow (exp x) 3) 1)) (sqrt (- (* (exp x) (exp x)) 1))) (sqrt (exp x))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (sqrt (+ (pow (exp x) 3) 1)) (sqrt (- (* (exp x) (exp x)) 1))) (sqrt (exp x))) (/ (/ (sqrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (145 enodes) * * [misc]simplify: iters left: 1 (227 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (exp x)) (sqrt (+ (exp x) 1))) (* (sqrt (- (* (exp x) (exp x)) 1)) (sqrt (- (* (exp x) (exp x)) (- (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (sqrt (+ (pow (exp x) 3) 1)) (sqrt (- (* (exp x) (exp x)) 1))) (sqrt (exp x))) (/ (* (sqrt (exp x)) (sqrt (+ (exp x) 1))) (* (sqrt (- (* (exp x) (exp x)) 1)) (sqrt (- (* (exp x) (exp x)) (- (exp x) 1))))))) * * * * [misc]progress: [ 477 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (pow (exp x) 3) (pow 1 3))))) (/ 1 (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (116 enodes) * * [misc]simplify: iters left: 2 (222 enodes) * [exit]simplify: Simplified to (* (* (sqrt (exp x)) (cbrt (sqrt (+ (exp x) 1)))) (* (sqrt (+ (pow (exp x) 3) 1)) (cbrt (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (* (sqrt (exp x)) (cbrt (sqrt (+ (exp x) 1)))) (* (sqrt (+ (pow (exp x) 3) 1)) (cbrt (sqrt (+ (exp x) 1))))) (/ (/ (sqrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (- (exp (+ x x)) 1) (cbrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (- (exp (+ x x)) 1) (cbrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (123 enodes) * * [misc]simplify: iters left: 2 (285 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (+ (exp x) 1))) (/ (sqrt (- (* (exp x) (exp x)) (- (exp x) 1))) (/ (sqrt (exp x)) (- (* (exp x) (exp x)) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (* (sqrt (exp x)) (cbrt (sqrt (+ (exp x) 1)))) (* (sqrt (+ (pow (exp x) 3) 1)) (cbrt (sqrt (+ (exp x) 1))))) (/ (cbrt (sqrt (+ (exp x) 1))) (/ (sqrt (- (* (exp x) (exp x)) (- (exp x) 1))) (/ (sqrt (exp x)) (- (* (exp x) (exp x)) 1)))))) * * * * [misc]progress: [ 478 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (pow (exp x) 3) (pow 1 3))))) (/ 1 (sqrt (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (107 enodes) * * [misc]simplify: iters left: 1 (184 enodes) * [exit]simplify: Simplified to (* (fabs (cbrt (+ (exp x) 1))) (* (sqrt (+ (pow (exp x) 3) 1)) (sqrt (exp x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (fabs (cbrt (+ (exp x) 1))) (* (sqrt (+ (pow (exp x) 3) 1)) (sqrt (exp x)))) (/ (/ (sqrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (- (exp (+ x x)) 1) (sqrt (cbrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (- (exp (+ x x)) 1) (sqrt (cbrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (123 enodes) * * [misc]simplify: iters left: 2 (285 enodes) * [exit]simplify: Simplified to (/ (sqrt (cbrt (+ (exp x) 1))) (/ (sqrt (- (* (exp x) (exp x)) (- (exp x) 1))) (/ (sqrt (exp x)) (- (* (exp x) (exp x)) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (fabs (cbrt (+ (exp x) 1))) (* (sqrt (+ (pow (exp x) 3) 1)) (sqrt (exp x)))) (/ (sqrt (cbrt (+ (exp x) 1))) (/ (sqrt (- (* (exp x) (exp x)) (- (exp x) 1))) (/ (sqrt (exp x)) (- (* (exp x) (exp x)) 1)))))) * * * * [misc]progress: [ 479 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (pow (exp x) 3) (pow 1 3))))) (/ 1 (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * * [misc]simplify: iters left: 1 (194 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (pow (exp x) 3) 1)) (* (sqrt (exp x)) (sqrt (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (sqrt (+ (pow (exp x) 3) 1)) (* (sqrt (exp x)) (sqrt (sqrt (+ (exp x) 1))))) (/ (/ (sqrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (- (exp (+ x x)) 1) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (- (exp (+ x x)) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (123 enodes) * * [misc]simplify: iters left: 2 (285 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ (exp x) 1))) (/ (sqrt (- (* (exp x) (exp x)) (- (exp x) 1))) (/ (sqrt (exp x)) (- (* (exp x) (exp x)) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt (+ (pow (exp x) 3) 1)) (* (sqrt (exp x)) (sqrt (sqrt (+ (exp x) 1))))) (/ (sqrt (sqrt (+ (exp x) 1))) (/ (sqrt (- (* (exp x) (exp x)) (- (exp x) 1))) (/ (sqrt (exp x)) (- (* (exp x) (exp x)) 1)))))) * * * * [misc]progress: [ 480 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (pow (exp x) 3) (pow 1 3))))) (/ 1 (sqrt 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (104 enodes) * * [misc]simplify: iters left: 1 (185 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (pow (exp x) 3) 1)) (* (sqrt 1) (sqrt (exp x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (sqrt (+ (pow (exp x) 3) 1)) (* (sqrt 1) (sqrt (exp x)))) (/ (/ (sqrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (122 enodes) * * [misc]simplify: iters left: 2 (282 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (exp x) 1)) (/ (sqrt (+ (* (exp x) (exp x)) (- 1 (exp x)))) (/ (sqrt (exp x)) (- (* (exp x) (exp x)) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt (+ (pow (exp x) 3) 1)) (* (sqrt 1) (sqrt (exp x)))) (/ (sqrt (+ (exp x) 1)) (/ (sqrt (+ (* (exp x) (exp x)) (- 1 (exp x)))) (/ (sqrt (exp x)) (- (* (exp x) (exp x)) 1)))))) * * * * [misc]progress: [ 481 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (pow (exp x) 3) (pow 1 3))))) (/ 1 (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * * [misc]simplify: iters left: 1 (194 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (pow (exp x) 3) 1)) (* (sqrt (exp x)) (sqrt (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (sqrt (+ (pow (exp x) 3) 1)) (* (sqrt (exp x)) (sqrt (sqrt (+ (exp x) 1))))) (/ (/ (sqrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (- (exp (+ x x)) 1) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (- (exp (+ x x)) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (123 enodes) * * [misc]simplify: iters left: 2 (285 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ (exp x) 1))) (/ (sqrt (- (* (exp x) (exp x)) (- (exp x) 1))) (/ (sqrt (exp x)) (- (* (exp x) (exp x)) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt (+ (pow (exp x) 3) 1)) (* (sqrt (exp x)) (sqrt (sqrt (+ (exp x) 1))))) (/ (sqrt (sqrt (+ (exp x) 1))) (/ (sqrt (- (* (exp x) (exp x)) (- (exp x) 1))) (/ (sqrt (exp x)) (- (* (exp x) (exp x)) 1)))))) * * * * [misc]progress: [ 482 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (pow (exp x) 3) (pow 1 3))))) (/ 1 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (pow (exp x) 3) 1)) (sqrt (exp x))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (sqrt (+ (pow (exp x) 3) 1)) (sqrt (exp x))) (/ (/ (sqrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (122 enodes) * * [misc]simplify: iters left: 2 (282 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (exp x) 1)) (/ (sqrt (+ (* (exp x) (exp x)) (- 1 (exp x)))) (/ (sqrt (exp x)) (- (* (exp x) (exp x)) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt (+ (pow (exp x) 3) 1)) (sqrt (exp x))) (/ (sqrt (+ (exp x) 1)) (/ (sqrt (+ (* (exp x) (exp x)) (- 1 (exp x)))) (/ (sqrt (exp x)) (- (* (exp x) (exp x)) 1)))))) * * * * [misc]progress: [ 483 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (pow (exp x) 3) (pow 1 3))))) (/ (+ (exp x) 1) (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (157 enodes) * * [misc]simplify: iters left: 2 (413 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (+ (pow (exp x) 3) 1)) (cbrt (sqrt (+ (exp x) 1)))) (/ (/ (+ (exp x) 1) (sqrt (exp x))) (cbrt (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (sqrt (+ (pow (exp x) 3) 1)) (cbrt (sqrt (+ (exp x) 1)))) (/ (/ (+ (exp x) 1) (sqrt (exp x))) (cbrt (sqrt (+ (exp x) 1))))) (/ (/ (sqrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (- (exp x) 1) (cbrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (- (exp x) 1) (cbrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (107 enodes) * * [misc]simplify: iters left: 2 (211 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (exp x)) (sqrt (+ (exp (+ x x)) (- 1 (exp x))))) (/ (- (exp x) 1) (cbrt (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (sqrt (+ (pow (exp x) 3) 1)) (cbrt (sqrt (+ (exp x) 1)))) (/ (/ (+ (exp x) 1) (sqrt (exp x))) (cbrt (sqrt (+ (exp x) 1))))) (/ (/ (sqrt (exp x)) (sqrt (+ (exp (+ x x)) (- 1 (exp x))))) (/ (- (exp x) 1) (cbrt (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 484 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (pow (exp x) 3) (pow 1 3))))) (/ (+ (exp x) 1) (sqrt (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (126 enodes) * * [misc]simplify: iters left: 2 (280 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (exp x)) (sqrt (+ (pow (exp x) 3) 1))) (/ (+ (exp x) 1) (fabs (cbrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (sqrt (exp x)) (sqrt (+ (pow (exp x) 3) 1))) (/ (+ (exp x) 1) (fabs (cbrt (+ (exp x) 1))))) (/ (/ (sqrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (- (exp x) 1) (sqrt (cbrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (- (exp x) 1) (sqrt (cbrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (107 enodes) * * [misc]simplify: iters left: 2 (211 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (exp x)) (sqrt (+ (exp (+ x x)) (- 1 (exp x))))) (/ (- (exp x) 1) (sqrt (cbrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (sqrt (exp x)) (sqrt (+ (pow (exp x) 3) 1))) (/ (+ (exp x) 1) (fabs (cbrt (+ (exp x) 1))))) (/ (/ (sqrt (exp x)) (sqrt (+ (exp (+ x x)) (- 1 (exp x))))) (/ (- (exp x) 1) (sqrt (cbrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 485 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (pow (exp x) 3) (pow 1 3))))) (/ (+ (exp x) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (122 enodes) * * [misc]simplify: iters left: 2 (277 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ (exp x) 1))) (* (/ (sqrt (exp x)) (+ (exp x) 1)) (sqrt (+ (pow (exp x) 3) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (sqrt (sqrt (+ (exp x) 1))) (* (/ (sqrt (exp x)) (+ (exp x) 1)) (sqrt (+ (pow (exp x) 3) 1)))) (/ (/ (sqrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (- (exp x) 1) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (- (exp x) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (107 enodes) * * [misc]simplify: iters left: 2 (211 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (exp x)) (sqrt (+ (exp (+ x x)) (- 1 (exp x))))) (/ (- (exp x) 1) (sqrt (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt (sqrt (+ (exp x) 1))) (* (/ (sqrt (exp x)) (+ (exp x) 1)) (sqrt (+ (pow (exp x) 3) 1)))) (/ (/ (sqrt (exp x)) (sqrt (+ (exp (+ x x)) (- 1 (exp x))))) (/ (- (exp x) 1) (sqrt (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 486 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (pow (exp x) 3) (pow 1 3))))) (/ (+ (exp x) 1) (sqrt 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (248 enodes) * [exit]simplify: Simplified to (* (* (/ (sqrt 1) (+ (exp x) 1)) (sqrt (exp x))) (sqrt (+ (pow (exp x) 3) 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (* (/ (sqrt 1) (+ (exp x) 1)) (sqrt (exp x))) (sqrt (+ (pow (exp x) 3) 1))) (/ (/ (sqrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (- (exp x) 1) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (- (exp x) 1) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (209 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (+ (exp x) 1)) (/ (sqrt (exp x)) (- (exp x) 1))) (sqrt (+ (* (exp x) (exp x)) (- 1 (exp x))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (* (/ (sqrt 1) (+ (exp x) 1)) (sqrt (exp x))) (sqrt (+ (pow (exp x) 3) 1))) (/ (* (sqrt (+ (exp x) 1)) (/ (sqrt (exp x)) (- (exp x) 1))) (sqrt (+ (* (exp x) (exp x)) (- 1 (exp x))))))) * * * * [misc]progress: [ 487 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (pow (exp x) 3) (pow 1 3))))) (/ (+ (exp x) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (122 enodes) * * [misc]simplify: iters left: 2 (277 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ (exp x) 1))) (* (/ (sqrt (exp x)) (+ (exp x) 1)) (sqrt (+ (pow (exp x) 3) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (sqrt (sqrt (+ (exp x) 1))) (* (/ (sqrt (exp x)) (+ (exp x) 1)) (sqrt (+ (pow (exp x) 3) 1)))) (/ (/ (sqrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (- (exp x) 1) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (- (exp x) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (107 enodes) * * [misc]simplify: iters left: 2 (211 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (exp x)) (sqrt (+ (exp (+ x x)) (- 1 (exp x))))) (/ (- (exp x) 1) (sqrt (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt (sqrt (+ (exp x) 1))) (* (/ (sqrt (exp x)) (+ (exp x) 1)) (sqrt (+ (pow (exp x) 3) 1)))) (/ (/ (sqrt (exp x)) (sqrt (+ (exp (+ x x)) (- 1 (exp x))))) (/ (- (exp x) 1) (sqrt (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 488 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (pow (exp x) 3) (pow 1 3))))) (/ (+ (exp x) 1) 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (157 enodes) * * [misc]simplify: iters left: 1 (378 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (pow (exp x) 3) 1)) (/ (+ (exp x) 1) (sqrt (exp x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (+ (pow (exp x) 3) 1)) (/ (+ (exp x) 1) (sqrt (exp x)))) (/ (/ (sqrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (- (exp x) 1) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (- (exp x) 1) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (209 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (+ (exp x) 1)) (/ (sqrt (exp x)) (- (exp x) 1))) (sqrt (+ (* (exp x) (exp x)) (- 1 (exp x))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (+ (pow (exp x) 3) 1)) (/ (+ (exp x) 1) (sqrt (exp x)))) (/ (* (sqrt (+ (exp x) 1)) (/ (sqrt (exp x)) (- (exp x) 1))) (sqrt (+ (* (exp x) (exp x)) (- 1 (exp x))))))) * * * * [misc]progress: [ 489 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (pow (exp x) 3) (pow 1 3))))) (/ (+ (sqrt (exp (+ x x))) 1) (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (147 enodes) * * [misc]simplify: iters left: 2 (374 enodes) * [exit]simplify: Simplified to (* (* (cbrt (sqrt (+ (exp x) 1))) (cbrt (sqrt (+ (exp x) 1)))) (/ (sqrt (+ (pow (exp x) 3) 1)) (/ (+ 1 (fabs (exp x))) (sqrt (exp x))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (* (cbrt (sqrt (+ (exp x) 1))) (cbrt (sqrt (+ (exp x) 1)))) (/ (sqrt (+ (pow (exp x) 3) 1)) (/ (+ 1 (fabs (exp x))) (sqrt (exp x))))) (/ (/ (sqrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (- (sqrt (exp (+ x x))) 1) (cbrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (- (sqrt (exp (+ x x))) 1) (cbrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (105 enodes) * * [misc]simplify: iters left: 2 (167 enodes) * * [misc]simplify: iters left: 1 (242 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- 1 (exp x))))) (/ (- (fabs (exp x)) 1) (cbrt (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (* (cbrt (sqrt (+ (exp x) 1))) (cbrt (sqrt (+ (exp x) 1)))) (/ (sqrt (+ (pow (exp x) 3) 1)) (/ (+ 1 (fabs (exp x))) (sqrt (exp x))))) (/ (/ (sqrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- 1 (exp x))))) (/ (- (fabs (exp x)) 1) (cbrt (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 490 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (pow (exp x) 3) (pow 1 3))))) (/ (+ (sqrt (exp (+ x x))) 1) (sqrt (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (258 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (+ (pow (exp x) 3) 1)) (sqrt (exp x))) (/ (+ 1 (fabs (exp x))) (fabs (cbrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (sqrt (+ (pow (exp x) 3) 1)) (sqrt (exp x))) (/ (+ 1 (fabs (exp x))) (fabs (cbrt (+ (exp x) 1))))) (/ (/ (sqrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (cbrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (cbrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (105 enodes) * * [misc]simplify: iters left: 2 (167 enodes) * * [misc]simplify: iters left: 1 (242 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- 1 (exp x))))) (/ (- (fabs (exp x)) 1) (sqrt (cbrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (sqrt (+ (pow (exp x) 3) 1)) (sqrt (exp x))) (/ (+ 1 (fabs (exp x))) (fabs (cbrt (+ (exp x) 1))))) (/ (/ (sqrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- 1 (exp x))))) (/ (- (fabs (exp x)) 1) (sqrt (cbrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 491 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (pow (exp x) 3) (pow 1 3))))) (/ (+ (sqrt (exp (+ x x))) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (113 enodes) * * [misc]simplify: iters left: 2 (253 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ (exp x) 1))) (/ (+ 1 (fabs (exp x))) (sqrt (exp x)))) (sqrt (+ (pow (exp x) 3) 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (sqrt (sqrt (+ (exp x) 1))) (/ (+ 1 (fabs (exp x))) (sqrt (exp x)))) (sqrt (+ (pow (exp x) 3) 1))) (/ (/ (sqrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (105 enodes) * * [misc]simplify: iters left: 2 (167 enodes) * * [misc]simplify: iters left: 1 (242 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- 1 (exp x))))) (/ (- (fabs (exp x)) 1) (sqrt (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (sqrt (sqrt (+ (exp x) 1))) (/ (+ 1 (fabs (exp x))) (sqrt (exp x)))) (sqrt (+ (pow (exp x) 3) 1))) (/ (/ (sqrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- 1 (exp x))))) (/ (- (fabs (exp x)) 1) (sqrt (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 492 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (pow (exp x) 3) (pow 1 3))))) (/ (+ (sqrt (exp (+ x x))) 1) (sqrt 1))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (110 enodes) * * [misc]simplify: iters left: 2 (245 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (pow (exp x) 3) 1)) (/ (* (sqrt (exp x)) (sqrt 1)) (+ 1 (fabs (exp x))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (sqrt (+ (pow (exp x) 3) 1)) (/ (* (sqrt (exp x)) (sqrt 1)) (+ 1 (fabs (exp x))))) (/ (/ (sqrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (166 enodes) * * [misc]simplify: iters left: 1 (250 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (exp x)) (sqrt (+ (exp x) 1))) (* (sqrt (+ (* (exp x) (exp x)) (- 1 (exp x)))) (- (fabs (exp x)) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt (+ (pow (exp x) 3) 1)) (/ (* (sqrt (exp x)) (sqrt 1)) (+ 1 (fabs (exp x))))) (/ (* (sqrt (exp x)) (sqrt (+ (exp x) 1))) (* (sqrt (+ (* (exp x) (exp x)) (- 1 (exp x)))) (- (fabs (exp x)) 1))))) * * * * [misc]progress: [ 493 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (pow (exp x) 3) (pow 1 3))))) (/ (+ (sqrt (exp (+ x x))) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (113 enodes) * * [misc]simplify: iters left: 2 (253 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ (exp x) 1))) (/ (+ 1 (fabs (exp x))) (sqrt (exp x)))) (sqrt (+ (pow (exp x) 3) 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (sqrt (sqrt (+ (exp x) 1))) (/ (+ 1 (fabs (exp x))) (sqrt (exp x)))) (sqrt (+ (pow (exp x) 3) 1))) (/ (/ (sqrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (105 enodes) * * [misc]simplify: iters left: 2 (167 enodes) * * [misc]simplify: iters left: 1 (242 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- 1 (exp x))))) (/ (- (fabs (exp x)) 1) (sqrt (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (sqrt (sqrt (+ (exp x) 1))) (/ (+ 1 (fabs (exp x))) (sqrt (exp x)))) (sqrt (+ (pow (exp x) 3) 1))) (/ (/ (sqrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- 1 (exp x))))) (/ (- (fabs (exp x)) 1) (sqrt (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 494 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (pow (exp x) 3) (pow 1 3))))) (/ (+ (sqrt (exp (+ x x))) 1) 1)) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (159 enodes) * * [misc]simplify: iters left: 1 (330 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (pow (exp x) 3) 1)) (/ (sqrt (exp x)) (+ 1 (fabs (exp x))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (sqrt (+ (pow (exp x) 3) 1)) (/ (sqrt (exp x)) (+ 1 (fabs (exp x))))) (/ (/ (sqrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (166 enodes) * * [misc]simplify: iters left: 1 (250 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (exp x)) (sqrt (+ (exp x) 1))) (* (sqrt (+ (* (exp x) (exp x)) (- 1 (exp x)))) (- (fabs (exp x)) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt (+ (pow (exp x) 3) 1)) (/ (sqrt (exp x)) (+ 1 (fabs (exp x))))) (/ (* (sqrt (exp x)) (sqrt (+ (exp x) 1))) (* (sqrt (+ (* (exp x) (exp x)) (- 1 (exp x)))) (- (fabs (exp x)) 1))))) * * * * [misc]progress: [ 495 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (pow (exp x) 3) (pow 1 3))))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (* (sqrt (exp x)) (sqrt (+ (pow (exp x) 3) 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (sqrt (exp x)) (sqrt (+ (pow (exp x) 3) 1))) (/ (/ (sqrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (122 enodes) * * [misc]simplify: iters left: 2 (282 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (exp x) 1)) (/ (sqrt (+ (* (exp x) (exp x)) (- 1 (exp x)))) (/ (sqrt (exp x)) (- (* (exp x) (exp x)) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt (exp x)) (sqrt (+ (pow (exp x) 3) 1))) (/ (sqrt (+ (exp x) 1)) (/ (sqrt (+ (* (exp x) (exp x)) (- 1 (exp x)))) (/ (sqrt (exp x)) (- (* (exp x) (exp x)) 1)))))) * * * * [misc]progress: [ 496 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (pow (exp x) 3) (pow 1 3))))) (- (exp (+ x x)) 1)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * * [misc]simplify: iters left: 2 (245 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (pow (exp x) 3) 1)) (/ (- (* (exp x) (exp x)) 1) (sqrt (exp x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (+ (pow (exp x) 3) 1)) (/ (- (* (exp x) (exp x)) 1) (sqrt (exp x)))) (/ (/ (sqrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ 1 (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ 1 (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (151 enodes) * * [misc]simplify: iters left: 1 (265 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (+ (exp x) 1)) (sqrt (exp x))) (sqrt (+ (* (exp x) (exp x)) (- 1 (exp x))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (+ (pow (exp x) 3) 1)) (/ (- (* (exp x) (exp x)) 1) (sqrt (exp x)))) (/ (* (sqrt (+ (exp x) 1)) (sqrt (exp x))) (sqrt (+ (* (exp x) (exp x)) (- 1 (exp x))))))) * * * * [misc]progress: [ 497 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (pow (exp x) 3) (pow 1 3))))) (/ (- (exp (+ x x)) 1) (sqrt (+ (pow 1 3) (pow (exp x) 3))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (152 enodes) * * [misc]simplify: iters left: 2 (472 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (+ (pow (exp x) 3) 1)) (- (* (exp x) (exp x)) 1)) (* (sqrt (exp x)) (sqrt (+ 1 (pow (exp x) 3))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (sqrt (+ (pow (exp x) 3) 1)) (- (* (exp x) (exp x)) 1)) (* (sqrt (exp x)) (sqrt (+ 1 (pow (exp x) 3))))) (/ (/ (sqrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (sqrt (+ (* 1 1) (- (* (exp x) (exp x)) (* 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (sqrt (+ (* 1 1) (- (* (exp x) (exp x)) (* 1 (exp x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (107 enodes) * * [misc]simplify: iters left: 1 (140 enodes) * [exit]simplify: Simplified to (/ (sqrt (exp x)) (- (* (exp x) (exp x)) (- (exp x) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (sqrt (+ (pow (exp x) 3) 1)) (- (* (exp x) (exp x)) 1)) (* (sqrt (exp x)) (sqrt (+ 1 (pow (exp x) 3))))) (/ (sqrt (exp x)) (- (* (exp x) (exp x)) (- (exp x) 1))))) * * * * [misc]progress: [ 498 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (/ 1 (sqrt (+ (pow (exp x) 3) (pow 1 3))))) (/ (- (exp (+ x x)) 1) (sqrt (- (* 1 1) (* (exp x) (exp x)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (157 enodes) * * [misc]simplify: iters left: 2 (468 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (+ (pow (exp x) 3) 1)) (sqrt (- 1 (* (exp x) (exp x))))) (/ (- (* (exp x) (exp x)) 1) (sqrt (exp x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (sqrt (+ (pow (exp x) 3) 1)) (sqrt (- 1 (* (exp x) (exp x))))) (/ (- (* (exp x) (exp x)) 1) (sqrt (exp x)))) (/ (/ (sqrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (sqrt (- 1 (exp x)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (sqrt (- 1 (exp x)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (98 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (exp x)) (sqrt (- 1 (exp x)))) (sqrt (+ (exp (+ x x)) (- 1 (exp x))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (sqrt (+ (pow (exp x) 3) 1)) (sqrt (- 1 (* (exp x) (exp x))))) (/ (- (* (exp x) (exp x)) 1) (sqrt (exp x)))) (/ (/ (sqrt (exp x)) (sqrt (- 1 (exp x)))) (sqrt (+ (exp (+ x x)) (- 1 (exp x))))))) * * * * [misc]progress: [ 499 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (/ 1 (sqrt (- (* (exp x) (exp x)) (* 1 1))))) (* (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))) (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (107 enodes) * * [misc]simplify: iters left: 2 (193 enodes) * * [misc]simplify: iters left: 1 (381 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (* (exp x) (exp x)) 1)) (cbrt (/ (- (* (exp x) (exp x)) 1) (sqrt (+ 1 (exp x)))))) (/ (cbrt (/ (- (* (exp x) (exp x)) 1) (sqrt (+ 1 (exp x))))) (sqrt (exp x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (sqrt (- (* (exp x) (exp x)) 1)) (cbrt (/ (- (* (exp x) (exp x)) 1) (sqrt (+ 1 (exp x)))))) (/ (cbrt (/ (- (* (exp x) (exp x)) 1) (sqrt (+ 1 (exp x))))) (sqrt (exp x)))) (/ (/ (sqrt (exp x)) (sqrt (- (exp x) 1))) (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (sqrt (- (exp x) 1))) (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (190 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (exp x)) (sqrt (- (exp x) 1))) (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (- (* (exp x) (exp x)) 1)) (cbrt (/ (- (* (exp x) (exp x)) 1) (sqrt (+ 1 (exp x)))))) (/ (cbrt (/ (- (* (exp x) (exp x)) 1) (sqrt (+ 1 (exp x))))) (sqrt (exp x)))) (/ (/ (sqrt (exp x)) (sqrt (- (exp x) 1))) (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))))) * * * * [misc]progress: [ 500 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (/ 1 (sqrt (- (* (exp x) (exp x)) (* 1 1))))) (sqrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (125 enodes) * * [misc]simplify: iters left: 1 (215 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (exp x)) (sqrt (- (* (exp x) (exp x)) 1))) (sqrt (/ (- (* (exp x) (exp x)) 1) (sqrt (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (sqrt (exp x)) (sqrt (- (* (exp x) (exp x)) 1))) (sqrt (/ (- (* (exp x) (exp x)) 1) (sqrt (+ 1 (exp x)))))) (/ (/ (sqrt (exp x)) (sqrt (- (exp x) 1))) (sqrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (sqrt (- (exp x) 1))) (sqrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (190 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (exp x)) (sqrt (- (exp x) 1))) (sqrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (sqrt (exp x)) (sqrt (- (* (exp x) (exp x)) 1))) (sqrt (/ (- (* (exp x) (exp x)) 1) (sqrt (+ 1 (exp x)))))) (/ (/ (sqrt (exp x)) (sqrt (- (exp x) 1))) (sqrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))))) * * * * [misc]progress: [ 501 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (/ 1 (sqrt (- (* (exp x) (exp x)) (* 1 1))))) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (90 enodes) * * [misc]simplify: iters left: 3 (262 enodes) * [exit]simplify: Simplified to (/ (/ (* (sqrt (exp x)) (sqrt (- (* (exp x) (exp x)) 1))) (/ (cbrt (- (* (exp x) (exp x)) 1)) (cbrt (sqrt (+ (exp x) 1))))) (/ (cbrt (- (* (exp x) (exp x)) 1)) (cbrt (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (* (sqrt (exp x)) (sqrt (- (* (exp x) (exp x)) 1))) (/ (cbrt (- (* (exp x) (exp x)) 1)) (cbrt (sqrt (+ (exp x) 1))))) (/ (cbrt (- (* (exp x) (exp x)) 1)) (cbrt (sqrt (+ (exp x) 1))))) (/ (/ (sqrt (exp x)) (sqrt (- (exp x) 1))) (/ (cbrt (- (exp (+ x x)) 1)) (cbrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (sqrt (- (exp x) 1))) (/ (cbrt (- (exp (+ x x)) 1)) (cbrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (197 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (exp x)) (cbrt (- (exp (+ x x)) 1))) (/ (cbrt (sqrt (+ (exp x) 1))) (sqrt (- (exp x) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (* (sqrt (exp x)) (sqrt (- (* (exp x) (exp x)) 1))) (/ (cbrt (- (* (exp x) (exp x)) 1)) (cbrt (sqrt (+ (exp x) 1))))) (/ (cbrt (- (* (exp x) (exp x)) 1)) (cbrt (sqrt (+ (exp x) 1))))) (* (/ (sqrt (exp x)) (cbrt (- (exp (+ x x)) 1))) (/ (cbrt (sqrt (+ (exp x) 1))) (sqrt (- (exp x) 1)))))) * * * * [misc]progress: [ 502 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (/ 1 (sqrt (- (* (exp x) (exp x)) (* 1 1))))) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (sqrt (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (170 enodes) * * [misc]simplify: iters left: 2 (495 enodes) * [exit]simplify: Simplified to (* (/ (* (sqrt (- (* (exp x) (exp x)) 1)) (sqrt (exp x))) (* (cbrt (- (* (exp x) (exp x)) 1)) (cbrt (- (* (exp x) (exp x)) 1)))) (fabs (cbrt (+ (exp x) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (* (sqrt (- (* (exp x) (exp x)) 1)) (sqrt (exp x))) (* (cbrt (- (* (exp x) (exp x)) 1)) (cbrt (- (* (exp x) (exp x)) 1)))) (fabs (cbrt (+ (exp x) 1)))) (/ (/ (sqrt (exp x)) (sqrt (- (exp x) 1))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (cbrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (sqrt (- (exp x) 1))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (cbrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (197 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (exp x)) (cbrt (- (exp (+ x x)) 1))) (/ (sqrt (cbrt (+ (exp x) 1))) (sqrt (- (exp x) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (* (sqrt (- (* (exp x) (exp x)) 1)) (sqrt (exp x))) (* (cbrt (- (* (exp x) (exp x)) 1)) (cbrt (- (* (exp x) (exp x)) 1)))) (fabs (cbrt (+ (exp x) 1)))) (* (/ (sqrt (exp x)) (cbrt (- (exp (+ x x)) 1))) (/ (sqrt (cbrt (+ (exp x) 1))) (sqrt (- (exp x) 1)))))) * * * * [misc]progress: [ 503 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (/ 1 (sqrt (- (* (exp x) (exp x)) (* 1 1))))) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (168 enodes) * * [misc]simplify: iters left: 2 (492 enodes) * [exit]simplify: Simplified to (* (/ (* (sqrt (- (* (exp x) (exp x)) 1)) (sqrt (exp x))) (cbrt (- (* (exp x) (exp x)) 1))) (/ (sqrt (sqrt (+ (exp x) 1))) (cbrt (- (* (exp x) (exp x)) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (* (sqrt (- (* (exp x) (exp x)) 1)) (sqrt (exp x))) (cbrt (- (* (exp x) (exp x)) 1))) (/ (sqrt (sqrt (+ (exp x) 1))) (cbrt (- (* (exp x) (exp x)) 1)))) (/ (/ (sqrt (exp x)) (sqrt (- (exp x) 1))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (sqrt (- (exp x) 1))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (197 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (exp x)) (cbrt (- (exp (+ x x)) 1))) (/ (sqrt (sqrt (+ (exp x) 1))) (sqrt (- (exp x) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (* (sqrt (- (* (exp x) (exp x)) 1)) (sqrt (exp x))) (cbrt (- (* (exp x) (exp x)) 1))) (/ (sqrt (sqrt (+ (exp x) 1))) (cbrt (- (* (exp x) (exp x)) 1)))) (* (/ (sqrt (exp x)) (cbrt (- (exp (+ x x)) 1))) (/ (sqrt (sqrt (+ (exp x) 1))) (sqrt (- (exp x) 1)))))) * * * * [misc]progress: [ 504 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (/ 1 (sqrt (- (* (exp x) (exp x)) (* 1 1))))) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (sqrt 1))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (167 enodes) * * [misc]simplify: iters left: 2 (470 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (- (* (exp x) (exp x)) 1)) (cbrt (- (* (exp x) (exp x)) 1))) (/ (* (sqrt (exp x)) (sqrt 1)) (cbrt (- (* (exp x) (exp x)) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (sqrt (- (* (exp x) (exp x)) 1)) (cbrt (- (* (exp x) (exp x)) 1))) (/ (* (sqrt (exp x)) (sqrt 1)) (cbrt (- (* (exp x) (exp x)) 1)))) (/ (/ (sqrt (exp x)) (sqrt (- (exp x) 1))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (sqrt (- (exp x) 1))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (98 enodes) * * [misc]simplify: iters left: 1 (196 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (exp x)) (/ (sqrt (+ 1 (exp x))) (sqrt (- (exp x) 1)))) (cbrt (- (exp (+ x x)) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (sqrt (- (* (exp x) (exp x)) 1)) (cbrt (- (* (exp x) (exp x)) 1))) (/ (* (sqrt (exp x)) (sqrt 1)) (cbrt (- (* (exp x) (exp x)) 1)))) (/ (* (sqrt (exp x)) (/ (sqrt (+ 1 (exp x))) (sqrt (- (exp x) 1)))) (cbrt (- (exp (+ x x)) 1))))) * * * * [misc]progress: [ 505 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (/ 1 (sqrt (- (* (exp x) (exp x)) (* 1 1))))) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (168 enodes) * * [misc]simplify: iters left: 2 (492 enodes) * [exit]simplify: Simplified to (* (/ (* (sqrt (- (* (exp x) (exp x)) 1)) (sqrt (exp x))) (cbrt (- (* (exp x) (exp x)) 1))) (/ (sqrt (sqrt (+ (exp x) 1))) (cbrt (- (* (exp x) (exp x)) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (* (sqrt (- (* (exp x) (exp x)) 1)) (sqrt (exp x))) (cbrt (- (* (exp x) (exp x)) 1))) (/ (sqrt (sqrt (+ (exp x) 1))) (cbrt (- (* (exp x) (exp x)) 1)))) (/ (/ (sqrt (exp x)) (sqrt (- (exp x) 1))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (sqrt (- (exp x) 1))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (197 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (exp x)) (cbrt (- (exp (+ x x)) 1))) (/ (sqrt (sqrt (+ (exp x) 1))) (sqrt (- (exp x) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (* (sqrt (- (* (exp x) (exp x)) 1)) (sqrt (exp x))) (cbrt (- (* (exp x) (exp x)) 1))) (/ (sqrt (sqrt (+ (exp x) 1))) (cbrt (- (* (exp x) (exp x)) 1)))) (* (/ (sqrt (exp x)) (cbrt (- (exp (+ x x)) 1))) (/ (sqrt (sqrt (+ (exp x) 1))) (sqrt (- (exp x) 1)))))) * * * * [misc]progress: [ 506 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (/ 1 (sqrt (- (* (exp x) (exp x)) (* 1 1))))) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) 1)) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (120 enodes) * * [misc]simplify: iters left: 2 (304 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (- (* (exp x) (exp x)) 1)) (cbrt (- (* (exp x) (exp x)) 1))) (/ (sqrt (exp x)) (cbrt (- (* (exp x) (exp x)) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (sqrt (- (* (exp x) (exp x)) 1)) (cbrt (- (* (exp x) (exp x)) 1))) (/ (sqrt (exp x)) (cbrt (- (* (exp x) (exp x)) 1)))) (/ (/ (sqrt (exp x)) (sqrt (- (exp x) 1))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (sqrt (- (exp x) 1))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (98 enodes) * * [misc]simplify: iters left: 1 (196 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (exp x)) (/ (sqrt (+ 1 (exp x))) (sqrt (- (exp x) 1)))) (cbrt (- (exp (+ x x)) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (sqrt (- (* (exp x) (exp x)) 1)) (cbrt (- (* (exp x) (exp x)) 1))) (/ (sqrt (exp x)) (cbrt (- (* (exp x) (exp x)) 1)))) (/ (* (sqrt (exp x)) (/ (sqrt (+ 1 (exp x))) (sqrt (- (exp x) 1)))) (cbrt (- (exp (+ x x)) 1))))) * * * * [misc]progress: [ 507 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (/ 1 (sqrt (- (* (exp x) (exp x)) (* 1 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (136 enodes) * * [misc]simplify: iters left: 2 (336 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ (exp x) 1))) (* (sqrt (exp x)) (cbrt (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (cbrt (sqrt (+ (exp x) 1))) (* (sqrt (exp x)) (cbrt (sqrt (+ (exp x) 1))))) (/ (/ (sqrt (exp x)) (sqrt (- (exp x) 1))) (/ (sqrt (- (exp (+ x x)) 1)) (cbrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (sqrt (- (exp x) 1))) (/ (sqrt (- (exp (+ x x)) 1)) (cbrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (197 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (exp x)) (sqrt (- (exp (+ x x)) 1))) (/ (cbrt (sqrt (+ (exp x) 1))) (sqrt (- (exp x) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (cbrt (sqrt (+ (exp x) 1))) (* (sqrt (exp x)) (cbrt (sqrt (+ (exp x) 1))))) (* (/ (sqrt (exp x)) (sqrt (- (exp (+ x x)) 1))) (/ (cbrt (sqrt (+ (exp x) 1))) (sqrt (- (exp x) 1)))))) * * * * [misc]progress: [ 508 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (/ 1 (sqrt (- (* (exp x) (exp x)) (* 1 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (209 enodes) * [exit]simplify: Simplified to (* (sqrt (exp x)) (fabs (cbrt (+ (exp x) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (sqrt (exp x)) (fabs (cbrt (+ (exp x) 1)))) (/ (/ (sqrt (exp x)) (sqrt (- (exp x) 1))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (cbrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (sqrt (- (exp x) 1))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (cbrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (197 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (exp x)) (sqrt (- (exp (+ x x)) 1))) (/ (sqrt (cbrt (+ (exp x) 1))) (sqrt (- (exp x) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt (exp x)) (fabs (cbrt (+ (exp x) 1)))) (* (/ (sqrt (exp x)) (sqrt (- (exp (+ x x)) 1))) (/ (sqrt (cbrt (+ (exp x) 1))) (sqrt (- (exp x) 1)))))) * * * * [misc]progress: [ 509 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (/ 1 (sqrt (- (* (exp x) (exp x)) (* 1 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (202 enodes) * [exit]simplify: Simplified to (* (sqrt (exp x)) (sqrt (sqrt (+ (exp x) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (sqrt (exp x)) (sqrt (sqrt (+ (exp x) 1)))) (/ (/ (sqrt (exp x)) (sqrt (- (exp x) 1))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (sqrt (- (exp x) 1))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (197 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (exp x)) (sqrt (- (exp (+ x x)) 1))) (/ (sqrt (sqrt (+ (exp x) 1))) (sqrt (- (exp x) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt (exp x)) (sqrt (sqrt (+ (exp x) 1)))) (* (/ (sqrt (exp x)) (sqrt (- (exp (+ x x)) 1))) (/ (sqrt (sqrt (+ (exp x) 1))) (sqrt (- (exp x) 1)))))) * * * * [misc]progress: [ 510 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (/ 1 (sqrt (- (* (exp x) (exp x)) (* 1 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt 1))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (96 enodes) * * [misc]simplify: iters left: 2 (209 enodes) * [exit]simplify: Simplified to (* (sqrt 1) (sqrt (exp x))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (sqrt 1) (sqrt (exp x))) (/ (/ (sqrt (exp x)) (sqrt (- (exp x) 1))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (sqrt (- (exp x) 1))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (98 enodes) * * [misc]simplify: iters left: 1 (196 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (exp x)) (/ (sqrt (+ 1 (exp x))) (sqrt (- (exp x) 1)))) (sqrt (- (exp (+ x x)) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt 1) (sqrt (exp x))) (/ (* (sqrt (exp x)) (/ (sqrt (+ 1 (exp x))) (sqrt (- (exp x) 1)))) (sqrt (- (exp (+ x x)) 1))))) * * * * [misc]progress: [ 511 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (/ 1 (sqrt (- (* (exp x) (exp x)) (* 1 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (202 enodes) * [exit]simplify: Simplified to (* (sqrt (exp x)) (sqrt (sqrt (+ (exp x) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (sqrt (exp x)) (sqrt (sqrt (+ (exp x) 1)))) (/ (/ (sqrt (exp x)) (sqrt (- (exp x) 1))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (sqrt (- (exp x) 1))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (197 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (exp x)) (sqrt (- (exp (+ x x)) 1))) (/ (sqrt (sqrt (+ (exp x) 1))) (sqrt (- (exp x) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt (exp x)) (sqrt (sqrt (+ (exp x) 1)))) (* (/ (sqrt (exp x)) (sqrt (- (exp (+ x x)) 1))) (/ (sqrt (sqrt (+ (exp x) 1))) (sqrt (- (exp x) 1)))))) * * * * [misc]progress: [ 512 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (/ 1 (sqrt (- (* (exp x) (exp x)) (* 1 1))))) (/ (sqrt (- (exp (+ x x)) 1)) 1)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (146 enodes) * * [misc]simplify: iters left: 1 (321 enodes) * [exit]simplify: Simplified to (sqrt (exp x)) * [misc]simplify: Simplified (2 1) to (λ (x) (* (sqrt (exp x)) (/ (/ (sqrt (exp x)) (sqrt (- (exp x) 1))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (sqrt (- (exp x) 1))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (98 enodes) * * [misc]simplify: iters left: 1 (196 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (exp x)) (/ (sqrt (+ 1 (exp x))) (sqrt (- (exp x) 1)))) (sqrt (- (exp (+ x x)) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (sqrt (exp x)) (/ (* (sqrt (exp x)) (/ (sqrt (+ 1 (exp x))) (sqrt (- (exp x) 1)))) (sqrt (- (exp (+ x x)) 1))))) * * * * [misc]progress: [ 513 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (/ 1 (sqrt (- (* (exp x) (exp x)) (* 1 1))))) (/ 1 (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (112 enodes) * * [misc]simplify: iters left: 2 (204 enodes) * * [misc]simplify: iters left: 1 (452 enodes) * [exit]simplify: Simplified to (* (* (cbrt (sqrt (+ (exp x) 1))) (cbrt (sqrt (+ (exp x) 1)))) (* (sqrt (exp x)) (sqrt (- (* (exp x) (exp x)) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (* (cbrt (sqrt (+ (exp x) 1))) (cbrt (sqrt (+ (exp x) 1)))) (* (sqrt (exp x)) (sqrt (- (* (exp x) (exp x)) 1)))) (/ (/ (sqrt (exp x)) (sqrt (- (exp x) 1))) (/ (- (exp (+ x x)) 1) (cbrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (sqrt (- (exp x) 1))) (/ (- (exp (+ x x)) 1) (cbrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (204 enodes) * [exit]simplify: Simplified to (/ (* (/ (/ (sqrt (exp x)) (- (exp x) 1)) (+ (exp x) 1)) (cbrt (sqrt (+ (exp x) 1)))) (sqrt (- (exp x) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (* (cbrt (sqrt (+ (exp x) 1))) (cbrt (sqrt (+ (exp x) 1)))) (* (sqrt (exp x)) (sqrt (- (* (exp x) (exp x)) 1)))) (/ (* (/ (/ (sqrt (exp x)) (- (exp x) 1)) (+ (exp x) 1)) (cbrt (sqrt (+ (exp x) 1)))) (sqrt (- (exp x) 1))))) * * * * [misc]progress: [ 514 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (/ 1 (sqrt (- (* (exp x) (exp x)) (* 1 1))))) (/ 1 (sqrt (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (118 enodes) * * [misc]simplify: iters left: 1 (200 enodes) * [exit]simplify: Simplified to (* (* (sqrt (- (* (exp x) (exp x)) 1)) (sqrt (exp x))) (fabs (cbrt (+ (exp x) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (* (sqrt (- (* (exp x) (exp x)) 1)) (sqrt (exp x))) (fabs (cbrt (+ (exp x) 1)))) (/ (/ (sqrt (exp x)) (sqrt (- (exp x) 1))) (/ (- (exp (+ x x)) 1) (sqrt (cbrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (sqrt (- (exp x) 1))) (/ (- (exp (+ x x)) 1) (sqrt (cbrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (204 enodes) * [exit]simplify: Simplified to (/ (* (/ (/ (sqrt (exp x)) (- (exp x) 1)) (+ (exp x) 1)) (sqrt (cbrt (+ (exp x) 1)))) (sqrt (- (exp x) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (* (sqrt (- (* (exp x) (exp x)) 1)) (sqrt (exp x))) (fabs (cbrt (+ (exp x) 1)))) (/ (* (/ (/ (sqrt (exp x)) (- (exp x) 1)) (+ (exp x) 1)) (sqrt (cbrt (+ (exp x) 1)))) (sqrt (- (exp x) 1))))) * * * * [misc]progress: [ 515 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (/ 1 (sqrt (- (* (exp x) (exp x)) (* 1 1))))) (/ 1 (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (116 enodes) * * [misc]simplify: iters left: 1 (214 enodes) * [exit]simplify: Simplified to (* (sqrt (- (* (exp x) (exp x)) 1)) (* (sqrt (exp x)) (sqrt (sqrt (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (sqrt (- (* (exp x) (exp x)) 1)) (* (sqrt (exp x)) (sqrt (sqrt (+ 1 (exp x)))))) (/ (/ (sqrt (exp x)) (sqrt (- (exp x) 1))) (/ (- (exp (+ x x)) 1) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (sqrt (- (exp x) 1))) (/ (- (exp (+ x x)) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (204 enodes) * [exit]simplify: Simplified to (/ (* (/ (/ (sqrt (exp x)) (- (exp x) 1)) (+ (exp x) 1)) (sqrt (sqrt (+ (exp x) 1)))) (sqrt (- (exp x) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt (- (* (exp x) (exp x)) 1)) (* (sqrt (exp x)) (sqrt (sqrt (+ 1 (exp x)))))) (/ (* (/ (/ (sqrt (exp x)) (- (exp x) 1)) (+ (exp x) 1)) (sqrt (sqrt (+ (exp x) 1)))) (sqrt (- (exp x) 1))))) * * * * [misc]progress: [ 516 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (/ 1 (sqrt (- (* (exp x) (exp x)) (* 1 1))))) (/ 1 (sqrt 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (117 enodes) * * [misc]simplify: iters left: 1 (237 enodes) * [exit]simplify: Simplified to (* (* (sqrt (exp x)) (sqrt 1)) (sqrt (- (* (exp x) (exp x)) 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (* (sqrt (exp x)) (sqrt 1)) (sqrt (- (* (exp x) (exp x)) 1))) (/ (/ (sqrt (exp x)) (sqrt (- (exp x) 1))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (sqrt (- (exp x) 1))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (203 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt (exp x)) (- (exp x) 1)) (sqrt (- (exp x) 1))) (/ (sqrt (+ (exp x) 1)) (+ (exp x) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (* (sqrt (exp x)) (sqrt 1)) (sqrt (- (* (exp x) (exp x)) 1))) (* (/ (/ (sqrt (exp x)) (- (exp x) 1)) (sqrt (- (exp x) 1))) (/ (sqrt (+ (exp x) 1)) (+ (exp x) 1))))) * * * * [misc]progress: [ 517 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (/ 1 (sqrt (- (* (exp x) (exp x)) (* 1 1))))) (/ 1 (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (116 enodes) * * [misc]simplify: iters left: 1 (214 enodes) * [exit]simplify: Simplified to (* (sqrt (- (* (exp x) (exp x)) 1)) (* (sqrt (exp x)) (sqrt (sqrt (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (sqrt (- (* (exp x) (exp x)) 1)) (* (sqrt (exp x)) (sqrt (sqrt (+ 1 (exp x)))))) (/ (/ (sqrt (exp x)) (sqrt (- (exp x) 1))) (/ (- (exp (+ x x)) 1) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (sqrt (- (exp x) 1))) (/ (- (exp (+ x x)) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (204 enodes) * [exit]simplify: Simplified to (/ (* (/ (/ (sqrt (exp x)) (- (exp x) 1)) (+ (exp x) 1)) (sqrt (sqrt (+ (exp x) 1)))) (sqrt (- (exp x) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt (- (* (exp x) (exp x)) 1)) (* (sqrt (exp x)) (sqrt (sqrt (+ 1 (exp x)))))) (/ (* (/ (/ (sqrt (exp x)) (- (exp x) 1)) (+ (exp x) 1)) (sqrt (sqrt (+ (exp x) 1)))) (sqrt (- (exp x) 1))))) * * * * [misc]progress: [ 518 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (/ 1 (sqrt (- (* (exp x) (exp x)) (* 1 1))))) (/ 1 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (91 enodes) * [exit]simplify: Simplified to (* (sqrt (- (exp (+ x x)) 1)) (sqrt (exp x))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (sqrt (- (exp (+ x x)) 1)) (sqrt (exp x))) (/ (/ (sqrt (exp x)) (sqrt (- (exp x) 1))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (sqrt (- (exp x) 1))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (203 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt (exp x)) (- (exp x) 1)) (sqrt (- (exp x) 1))) (/ (sqrt (+ (exp x) 1)) (+ (exp x) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt (- (exp (+ x x)) 1)) (sqrt (exp x))) (* (/ (/ (sqrt (exp x)) (- (exp x) 1)) (sqrt (- (exp x) 1))) (/ (sqrt (+ (exp x) 1)) (+ (exp x) 1))))) * * * * [misc]progress: [ 519 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (/ 1 (sqrt (- (* (exp x) (exp x)) (* 1 1))))) (/ (+ (exp x) 1) (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (139 enodes) * * [misc]simplify: iters left: 2 (348 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (+ (exp x) 1))) (cbrt (sqrt (+ (exp x) 1)))) (/ (/ (+ (exp x) 1) (sqrt (exp x))) (sqrt (- (exp (+ x x)) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (cbrt (sqrt (+ (exp x) 1))) (cbrt (sqrt (+ (exp x) 1)))) (/ (/ (+ (exp x) 1) (sqrt (exp x))) (sqrt (- (exp (+ x x)) 1)))) (/ (/ (sqrt (exp x)) (sqrt (- (exp x) 1))) (/ (- (exp x) 1) (cbrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (sqrt (- (exp x) 1))) (/ (- (exp x) 1) (cbrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (123 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (+ (exp x) 1))) (* (/ (- (exp x) 1) (sqrt (exp x))) (sqrt (- (exp x) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (cbrt (sqrt (+ (exp x) 1))) (cbrt (sqrt (+ (exp x) 1)))) (/ (/ (+ (exp x) 1) (sqrt (exp x))) (sqrt (- (exp (+ x x)) 1)))) (/ (cbrt (sqrt (+ (exp x) 1))) (* (/ (- (exp x) 1) (sqrt (exp x))) (sqrt (- (exp x) 1)))))) * * * * [misc]progress: [ 520 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (/ 1 (sqrt (- (* (exp x) (exp x)) (* 1 1))))) (/ (+ (exp x) 1) (sqrt (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (107 enodes) * * [misc]simplify: iters left: 2 (227 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (exp x)) (sqrt (- (exp (+ x x)) 1))) (/ (+ (exp x) 1) (fabs (cbrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (sqrt (exp x)) (sqrt (- (exp (+ x x)) 1))) (/ (+ (exp x) 1) (fabs (cbrt (+ (exp x) 1))))) (/ (/ (sqrt (exp x)) (sqrt (- (exp x) 1))) (/ (- (exp x) 1) (sqrt (cbrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (sqrt (- (exp x) 1))) (/ (- (exp x) 1) (sqrt (cbrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (123 enodes) * [exit]simplify: Simplified to (/ (sqrt (cbrt (+ (exp x) 1))) (* (/ (- (exp x) 1) (sqrt (exp x))) (sqrt (- (exp x) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (sqrt (exp x)) (sqrt (- (exp (+ x x)) 1))) (/ (+ (exp x) 1) (fabs (cbrt (+ (exp x) 1))))) (/ (sqrt (cbrt (+ (exp x) 1))) (* (/ (- (exp x) 1) (sqrt (exp x))) (sqrt (- (exp x) 1)))))) * * * * [misc]progress: [ 521 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (/ 1 (sqrt (- (* (exp x) (exp x)) (* 1 1))))) (/ (+ (exp x) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (105 enodes) * * [misc]simplify: iters left: 2 (222 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (exp x)) (+ (exp x) 1)) (* (sqrt (sqrt (+ (exp x) 1))) (sqrt (- (* (exp x) (exp x)) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (sqrt (exp x)) (+ (exp x) 1)) (* (sqrt (sqrt (+ (exp x) 1))) (sqrt (- (* (exp x) (exp x)) 1)))) (/ (/ (sqrt (exp x)) (sqrt (- (exp x) 1))) (/ (- (exp x) 1) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (sqrt (- (exp x) 1))) (/ (- (exp x) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (123 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ (exp x) 1))) (* (/ (- (exp x) 1) (sqrt (exp x))) (sqrt (- (exp x) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (sqrt (exp x)) (+ (exp x) 1)) (* (sqrt (sqrt (+ (exp x) 1))) (sqrt (- (* (exp x) (exp x)) 1)))) (/ (sqrt (sqrt (+ (exp x) 1))) (* (/ (- (exp x) 1) (sqrt (exp x))) (sqrt (- (exp x) 1)))))) * * * * [misc]progress: [ 522 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (/ 1 (sqrt (- (* (exp x) (exp x)) (* 1 1))))) (/ (+ (exp x) 1) (sqrt 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (228 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (exp x)) (/ (+ (exp x) 1) (sqrt 1))) (sqrt (- (exp (+ x x)) 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (sqrt (exp x)) (/ (+ (exp x) 1) (sqrt 1))) (sqrt (- (exp (+ x x)) 1))) (/ (/ (sqrt (exp x)) (sqrt (- (exp x) 1))) (/ (- (exp x) 1) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (sqrt (- (exp x) 1))) (/ (- (exp x) 1) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (122 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (exp x)) (- (exp x) 1)) (/ (sqrt (+ (exp x) 1)) (sqrt (- (exp x) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (sqrt (exp x)) (/ (+ (exp x) 1) (sqrt 1))) (sqrt (- (exp (+ x x)) 1))) (* (/ (sqrt (exp x)) (- (exp x) 1)) (/ (sqrt (+ (exp x) 1)) (sqrt (- (exp x) 1)))))) * * * * [misc]progress: [ 523 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (/ 1 (sqrt (- (* (exp x) (exp x)) (* 1 1))))) (/ (+ (exp x) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (105 enodes) * * [misc]simplify: iters left: 2 (222 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (exp x)) (+ (exp x) 1)) (* (sqrt (sqrt (+ (exp x) 1))) (sqrt (- (* (exp x) (exp x)) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (sqrt (exp x)) (+ (exp x) 1)) (* (sqrt (sqrt (+ (exp x) 1))) (sqrt (- (* (exp x) (exp x)) 1)))) (/ (/ (sqrt (exp x)) (sqrt (- (exp x) 1))) (/ (- (exp x) 1) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (sqrt (- (exp x) 1))) (/ (- (exp x) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (123 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ (exp x) 1))) (* (/ (- (exp x) 1) (sqrt (exp x))) (sqrt (- (exp x) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (sqrt (exp x)) (+ (exp x) 1)) (* (sqrt (sqrt (+ (exp x) 1))) (sqrt (- (* (exp x) (exp x)) 1)))) (/ (sqrt (sqrt (+ (exp x) 1))) (* (/ (- (exp x) 1) (sqrt (exp x))) (sqrt (- (exp x) 1)))))) * * * * [misc]progress: [ 524 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (/ 1 (sqrt (- (* (exp x) (exp x)) (* 1 1))))) (/ (+ (exp x) 1) 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (177 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (exp x)) (+ 1 (exp x))) (sqrt (- (* (exp x) (exp x)) 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (sqrt (exp x)) (+ 1 (exp x))) (sqrt (- (* (exp x) (exp x)) 1))) (/ (/ (sqrt (exp x)) (sqrt (- (exp x) 1))) (/ (- (exp x) 1) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (sqrt (- (exp x) 1))) (/ (- (exp x) 1) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (122 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (exp x)) (- (exp x) 1)) (/ (sqrt (+ (exp x) 1)) (sqrt (- (exp x) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (sqrt (exp x)) (+ 1 (exp x))) (sqrt (- (* (exp x) (exp x)) 1))) (* (/ (sqrt (exp x)) (- (exp x) 1)) (/ (sqrt (+ (exp x) 1)) (sqrt (- (exp x) 1)))))) * * * * [misc]progress: [ 525 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (/ 1 (sqrt (- (* (exp x) (exp x)) (* 1 1))))) (/ (+ (sqrt (exp (+ x x))) 1) (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (143 enodes) * * [misc]simplify: iters left: 2 (347 enodes) * [exit]simplify: Simplified to (* (* (sqrt (- (* (exp x) (exp x)) 1)) (/ (sqrt (exp x)) (+ 1 (fabs (exp x))))) (* (cbrt (sqrt (+ (exp x) 1))) (cbrt (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (* (sqrt (- (* (exp x) (exp x)) 1)) (/ (sqrt (exp x)) (+ 1 (fabs (exp x))))) (* (cbrt (sqrt (+ (exp x) 1))) (cbrt (sqrt (+ (exp x) 1))))) (/ (/ (sqrt (exp x)) (sqrt (- (exp x) 1))) (/ (- (sqrt (exp (+ x x))) 1) (cbrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (sqrt (- (exp x) 1))) (/ (- (sqrt (exp (+ x x))) 1) (cbrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (98 enodes) * * [misc]simplify: iters left: 1 (129 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ (exp x) 1))) (* (sqrt (- (exp x) 1)) (- (fabs (exp x)) 1))) (sqrt (exp x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (* (sqrt (- (* (exp x) (exp x)) 1)) (/ (sqrt (exp x)) (+ 1 (fabs (exp x))))) (* (cbrt (sqrt (+ (exp x) 1))) (cbrt (sqrt (+ (exp x) 1))))) (* (/ (cbrt (sqrt (+ (exp x) 1))) (* (sqrt (- (exp x) 1)) (- (fabs (exp x)) 1))) (sqrt (exp x))))) * * * * [misc]progress: [ 526 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (/ 1 (sqrt (- (* (exp x) (exp x)) (* 1 1))))) (/ (+ (sqrt (exp (+ x x))) 1) (sqrt (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (232 enodes) * [exit]simplify: Simplified to (/ (fabs (cbrt (+ (exp x) 1))) (/ (/ (+ 1 (fabs (exp x))) (sqrt (exp x))) (sqrt (- (* (exp x) (exp x)) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (fabs (cbrt (+ (exp x) 1))) (/ (/ (+ 1 (fabs (exp x))) (sqrt (exp x))) (sqrt (- (* (exp x) (exp x)) 1)))) (/ (/ (sqrt (exp x)) (sqrt (- (exp x) 1))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (cbrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (sqrt (- (exp x) 1))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (cbrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (98 enodes) * * [misc]simplify: iters left: 1 (129 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (cbrt (+ (exp x) 1))) (* (sqrt (- (exp x) 1)) (- (fabs (exp x)) 1))) (sqrt (exp x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (fabs (cbrt (+ (exp x) 1))) (/ (/ (+ 1 (fabs (exp x))) (sqrt (exp x))) (sqrt (- (* (exp x) (exp x)) 1)))) (* (/ (sqrt (cbrt (+ (exp x) 1))) (* (sqrt (- (exp x) 1)) (- (fabs (exp x)) 1))) (sqrt (exp x))))) * * * * [misc]progress: [ 527 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (/ 1 (sqrt (- (* (exp x) (exp x)) (* 1 1))))) (/ (+ (sqrt (exp (+ x x))) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (109 enodes) * * [misc]simplify: iters left: 2 (239 enodes) * [exit]simplify: Simplified to (* (* (sqrt (- (* (exp x) (exp x)) 1)) (sqrt (exp x))) (/ (sqrt (sqrt (+ (exp x) 1))) (+ 1 (fabs (exp x))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (* (sqrt (- (* (exp x) (exp x)) 1)) (sqrt (exp x))) (/ (sqrt (sqrt (+ (exp x) 1))) (+ 1 (fabs (exp x))))) (/ (/ (sqrt (exp x)) (sqrt (- (exp x) 1))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (sqrt (- (exp x) 1))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (98 enodes) * * [misc]simplify: iters left: 1 (129 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ (exp x) 1))) (* (sqrt (- (exp x) 1)) (- (fabs (exp x)) 1))) (sqrt (exp x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (* (sqrt (- (* (exp x) (exp x)) 1)) (sqrt (exp x))) (/ (sqrt (sqrt (+ (exp x) 1))) (+ 1 (fabs (exp x))))) (* (/ (sqrt (sqrt (+ (exp x) 1))) (* (sqrt (- (exp x) 1)) (- (fabs (exp x)) 1))) (sqrt (exp x))))) * * * * [misc]progress: [ 528 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (/ 1 (sqrt (- (* (exp x) (exp x)) (* 1 1))))) (/ (+ (sqrt (exp (+ x x))) 1) (sqrt 1))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (228 enodes) * [exit]simplify: Simplified to (* (sqrt (- (* (exp x) (exp x)) 1)) (/ (* (sqrt 1) (sqrt (exp x))) (+ 1 (fabs (exp x))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (sqrt (- (* (exp x) (exp x)) 1)) (/ (* (sqrt 1) (sqrt (exp x))) (+ 1 (fabs (exp x))))) (/ (/ (sqrt (exp x)) (sqrt (- (exp x) 1))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (sqrt (- (exp x) 1))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (128 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (exp x)) (sqrt (- (exp x) 1))) (/ (- (fabs (exp x)) 1) (sqrt (+ (exp x) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt (- (* (exp x) (exp x)) 1)) (/ (* (sqrt 1) (sqrt (exp x))) (+ 1 (fabs (exp x))))) (/ (/ (sqrt (exp x)) (sqrt (- (exp x) 1))) (/ (- (fabs (exp x)) 1) (sqrt (+ (exp x) 1)))))) * * * * [misc]progress: [ 529 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (/ 1 (sqrt (- (* (exp x) (exp x)) (* 1 1))))) (/ (+ (sqrt (exp (+ x x))) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (109 enodes) * * [misc]simplify: iters left: 2 (239 enodes) * [exit]simplify: Simplified to (* (* (sqrt (- (* (exp x) (exp x)) 1)) (sqrt (exp x))) (/ (sqrt (sqrt (+ (exp x) 1))) (+ 1 (fabs (exp x))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (* (sqrt (- (* (exp x) (exp x)) 1)) (sqrt (exp x))) (/ (sqrt (sqrt (+ (exp x) 1))) (+ 1 (fabs (exp x))))) (/ (/ (sqrt (exp x)) (sqrt (- (exp x) 1))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (sqrt (- (exp x) 1))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (98 enodes) * * [misc]simplify: iters left: 1 (129 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ (exp x) 1))) (* (sqrt (- (exp x) 1)) (- (fabs (exp x)) 1))) (sqrt (exp x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (* (sqrt (- (* (exp x) (exp x)) 1)) (sqrt (exp x))) (/ (sqrt (sqrt (+ (exp x) 1))) (+ 1 (fabs (exp x))))) (* (/ (sqrt (sqrt (+ (exp x) 1))) (* (sqrt (- (exp x) 1)) (- (fabs (exp x)) 1))) (sqrt (exp x))))) * * * * [misc]progress: [ 530 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (/ 1 (sqrt (- (* (exp x) (exp x)) (* 1 1))))) (/ (+ (sqrt (exp (+ x x))) 1) 1)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (171 enodes) * * [misc]simplify: iters left: 1 (371 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (exp x)) (+ 1 (fabs (exp x)))) (sqrt (- (* (exp x) (exp x)) 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (sqrt (exp x)) (+ 1 (fabs (exp x)))) (sqrt (- (* (exp x) (exp x)) 1))) (/ (/ (sqrt (exp x)) (sqrt (- (exp x) 1))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (sqrt (- (exp x) 1))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (128 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (exp x)) (sqrt (- (exp x) 1))) (/ (- (fabs (exp x)) 1) (sqrt (+ (exp x) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (sqrt (exp x)) (+ 1 (fabs (exp x)))) (sqrt (- (* (exp x) (exp x)) 1))) (/ (/ (sqrt (exp x)) (sqrt (- (exp x) 1))) (/ (- (fabs (exp x)) 1) (sqrt (+ (exp x) 1)))))) * * * * [misc]progress: [ 531 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (/ 1 (sqrt (- (* (exp x) (exp x)) (* 1 1))))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (90 enodes) * [exit]simplify: Simplified to (* (sqrt (exp x)) (sqrt (- (* (exp x) (exp x)) 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (sqrt (exp x)) (sqrt (- (* (exp x) (exp x)) 1))) (/ (/ (sqrt (exp x)) (sqrt (- (exp x) 1))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (sqrt (- (exp x) 1))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (203 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt (exp x)) (- (exp x) 1)) (sqrt (- (exp x) 1))) (/ (sqrt (+ (exp x) 1)) (+ (exp x) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt (exp x)) (sqrt (- (* (exp x) (exp x)) 1))) (* (/ (/ (sqrt (exp x)) (- (exp x) 1)) (sqrt (- (exp x) 1))) (/ (sqrt (+ (exp x) 1)) (+ (exp x) 1))))) * * * * [misc]progress: [ 532 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (/ 1 (sqrt (- (* (exp x) (exp x)) (* 1 1))))) (- (exp (+ x x)) 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (210 enodes) * [exit]simplify: Simplified to (* (sqrt (- (* (exp x) (exp x)) 1)) (/ (sqrt (exp x)) (- (* (exp x) (exp x)) 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (sqrt (- (* (exp x) (exp x)) 1)) (/ (sqrt (exp x)) (- (* (exp x) (exp x)) 1))) (/ (/ (sqrt (exp x)) (sqrt (- (exp x) 1))) (/ 1 (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (sqrt (- (exp x) 1))) (/ 1 (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (145 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (+ (exp x) 1)) (sqrt (exp x))) (sqrt (- (exp x) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt (- (* (exp x) (exp x)) 1)) (/ (sqrt (exp x)) (- (* (exp x) (exp x)) 1))) (/ (* (sqrt (+ (exp x) 1)) (sqrt (exp x))) (sqrt (- (exp x) 1))))) * * * * [misc]progress: [ 533 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (/ 1 (sqrt (- (* (exp x) (exp x)) (* 1 1))))) (/ (- (exp (+ x x)) 1) (sqrt (+ (pow 1 3) (pow (exp x) 3))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (152 enodes) * * [misc]simplify: iters left: 2 (471 enodes) * [exit]simplify: Simplified to (* (* (/ (sqrt (exp x)) (- (* (exp x) (exp x)) 1)) (sqrt (+ 1 (pow (exp x) 3)))) (sqrt (- (* (exp x) (exp x)) 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (* (/ (sqrt (exp x)) (- (* (exp x) (exp x)) 1)) (sqrt (+ 1 (pow (exp x) 3)))) (sqrt (- (* (exp x) (exp x)) 1))) (/ (/ (sqrt (exp x)) (sqrt (- (exp x) 1))) (sqrt (+ (* 1 1) (- (* (exp x) (exp x)) (* 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (sqrt (- (exp x) 1))) (sqrt (+ (* 1 1) (- (* (exp x) (exp x)) (* 1 (exp x)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (97 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (exp x)) (sqrt (- (exp x) 1))) (sqrt (+ (exp (+ x x)) (- 1 (exp x))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (* (/ (sqrt (exp x)) (- (* (exp x) (exp x)) 1)) (sqrt (+ 1 (pow (exp x) 3)))) (sqrt (- (* (exp x) (exp x)) 1))) (/ (/ (sqrt (exp x)) (sqrt (- (exp x) 1))) (sqrt (+ (exp (+ x x)) (- 1 (exp x))))))) * * * * [misc]progress: [ 534 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (/ 1 (sqrt (- (* (exp x) (exp x)) (* 1 1))))) (/ (- (exp (+ x x)) 1) (sqrt (- (* 1 1) (* (exp x) (exp x)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (147 enodes) * * [misc]simplify: iters left: 2 (434 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (exp x)) (- (* (exp x) (exp x)) 1)) (* (sqrt (- 1 (* (exp x) (exp x)))) (sqrt (- (* (exp x) (exp x)) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (sqrt (exp x)) (- (* (exp x) (exp x)) 1)) (* (sqrt (- 1 (* (exp x) (exp x)))) (sqrt (- (* (exp x) (exp x)) 1)))) (/ (/ (sqrt (exp x)) (sqrt (- (exp x) 1))) (sqrt (- 1 (exp x)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (exp x)) (sqrt (- (exp x) 1))) (sqrt (- 1 (exp x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (exp x)) (sqrt (- 1 (exp x)))) (sqrt (- (exp x) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (sqrt (exp x)) (- (* (exp x) (exp x)) 1)) (* (sqrt (- 1 (* (exp x) (exp x)))) (sqrt (- (* (exp x) (exp x)) 1)))) (/ (/ (sqrt (exp x)) (sqrt (- 1 (exp x)))) (sqrt (- (exp x) 1))))) * * * * [misc]progress: [ 535 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (* (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))) (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (102 enodes) * * [misc]simplify: iters left: 1 (144 enodes) * [exit]simplify: Simplified to (/ 1 (* (* (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (* (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ 1 (* (* (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (* (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))))) (/ (/ (exp x) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (109 enodes) * [exit]simplify: Simplified to (/ (exp x) (* (cbrt (/ (- (* (exp x) (exp x)) 1) (sqrt (+ 1 (exp x))))) (cbrt (/ 1 (sqrt (+ 1 (exp x))))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ 1 (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (* (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))) (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))))) (/ (exp x) (* (cbrt (/ (- (* (exp x) (exp x)) 1) (sqrt (+ 1 (exp x))))) (cbrt (/ 1 (sqrt (+ 1 (exp x))))))))) * * * * [misc]progress: [ 536 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (sqrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: iters left: 1 (117 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (/ (- (exp (+ x x)) 1) (sqrt (+ (exp x) 1))))) (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ 1 (sqrt (/ (- (exp (+ x x)) 1) (sqrt (+ (exp x) 1))))) (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (/ (exp x) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (sqrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (sqrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (109 enodes) * [exit]simplify: Simplified to (/ (exp x) (* (sqrt (/ (- (* (exp x) (exp x)) 1) (sqrt (+ 1 (exp x))))) (cbrt (/ 1 (sqrt (+ 1 (exp x))))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ 1 (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (sqrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) (/ (exp x) (* (sqrt (/ (- (* (exp x) (exp x)) 1) (sqrt (+ 1 (exp x))))) (cbrt (/ 1 (sqrt (+ 1 (exp x))))))))) * * * * [misc]progress: [ 537 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (199 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))) (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1)))) (* (cbrt (/ 1 (sqrt (+ 1 (exp x))))) (cbrt (/ 1 (sqrt (+ 1 (exp x))))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))) (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1)))) (* (cbrt (/ 1 (sqrt (+ 1 (exp x))))) (cbrt (/ 1 (sqrt (+ 1 (exp x))))))) (/ (/ (exp x) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (cbrt (- (exp (+ x x)) 1)) (cbrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (cbrt (- (exp (+ x x)) 1)) (cbrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (122 enodes) * [exit]simplify: Simplified to (/ (/ (exp x) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (cbrt (- (* (exp x) (exp x)) 1)) (cbrt (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))) (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1)))) (* (cbrt (/ 1 (sqrt (+ 1 (exp x))))) (cbrt (/ 1 (sqrt (+ 1 (exp x))))))) (/ (/ (exp x) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (cbrt (- (* (exp x) (exp x)) 1)) (cbrt (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 538 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (sqrt (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (123 enodes) * * [misc]simplify: iters left: 2 (263 enodes) * [exit]simplify: Simplified to (/ (/ (fabs (cbrt (+ 1 (exp x)))) (cbrt (/ 1 (sqrt (+ 1 (exp x)))))) (* (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (cbrt (/ 1 (sqrt (+ 1 (exp x))))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (fabs (cbrt (+ 1 (exp x)))) (cbrt (/ 1 (sqrt (+ 1 (exp x)))))) (* (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (cbrt (/ 1 (sqrt (+ 1 (exp x))))))) (/ (/ (exp x) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (cbrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (cbrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (122 enodes) * [exit]simplify: Simplified to (/ (/ (exp x) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (cbrt (- (* (exp x) (exp x)) 1)) (sqrt (cbrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (fabs (cbrt (+ 1 (exp x)))) (cbrt (/ 1 (sqrt (+ 1 (exp x)))))) (* (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (cbrt (/ 1 (sqrt (+ 1 (exp x))))))) (/ (/ (exp x) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (cbrt (- (* (exp x) (exp x)) 1)) (sqrt (cbrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 539 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (121 enodes) * * [misc]simplify: iters left: 2 (317 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (sqrt (+ 1 (exp x)))) (cbrt (- (exp (+ x x)) 1))) (cbrt (/ 1 (sqrt (+ 1 (exp x)))))) (* (cbrt (- (exp (+ x x)) 1)) (cbrt (/ 1 (sqrt (+ 1 (exp x))))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (/ (sqrt (sqrt (+ 1 (exp x)))) (cbrt (- (exp (+ x x)) 1))) (cbrt (/ 1 (sqrt (+ 1 (exp x)))))) (* (cbrt (- (exp (+ x x)) 1)) (cbrt (/ 1 (sqrt (+ 1 (exp x))))))) (/ (/ (exp x) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (122 enodes) * [exit]simplify: Simplified to (/ (/ (exp x) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (cbrt (- (* (exp x) (exp x)) 1)) (sqrt (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (/ (sqrt (sqrt (+ 1 (exp x)))) (cbrt (- (exp (+ x x)) 1))) (cbrt (/ 1 (sqrt (+ 1 (exp x)))))) (* (cbrt (- (exp (+ x x)) 1)) (cbrt (/ 1 (sqrt (+ 1 (exp x))))))) (/ (/ (exp x) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (cbrt (- (* (exp x) (exp x)) 1)) (sqrt (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 540 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (sqrt 1))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (120 enodes) * * [misc]simplify: iters left: 2 (316 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt 1) (cbrt (/ 1 (sqrt (+ 1 (exp x)))))) (* (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (cbrt (/ 1 (sqrt (+ 1 (exp x))))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (sqrt 1) (cbrt (/ 1 (sqrt (+ 1 (exp x)))))) (* (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (cbrt (/ 1 (sqrt (+ 1 (exp x))))))) (/ (/ (exp x) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * * [misc]simplify: iters left: 1 (121 enodes) * [exit]simplify: Simplified to (/ (/ (* (exp x) (sqrt (+ 1 (exp x)))) (cbrt (- (* (exp x) (exp x)) 1))) (cbrt (/ 1 (sqrt (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt 1) (cbrt (/ 1 (sqrt (+ 1 (exp x)))))) (* (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (cbrt (/ 1 (sqrt (+ 1 (exp x))))))) (/ (/ (* (exp x) (sqrt (+ 1 (exp x)))) (cbrt (- (* (exp x) (exp x)) 1))) (cbrt (/ 1 (sqrt (+ 1 (exp x)))))))) * * * * [misc]progress: [ 541 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (121 enodes) * * [misc]simplify: iters left: 2 (317 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (sqrt (+ 1 (exp x)))) (cbrt (- (exp (+ x x)) 1))) (cbrt (/ 1 (sqrt (+ 1 (exp x)))))) (* (cbrt (- (exp (+ x x)) 1)) (cbrt (/ 1 (sqrt (+ 1 (exp x))))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (/ (sqrt (sqrt (+ 1 (exp x)))) (cbrt (- (exp (+ x x)) 1))) (cbrt (/ 1 (sqrt (+ 1 (exp x)))))) (* (cbrt (- (exp (+ x x)) 1)) (cbrt (/ 1 (sqrt (+ 1 (exp x))))))) (/ (/ (exp x) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (122 enodes) * [exit]simplify: Simplified to (/ (/ (exp x) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (cbrt (- (* (exp x) (exp x)) 1)) (sqrt (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (/ (sqrt (sqrt (+ 1 (exp x)))) (cbrt (- (exp (+ x x)) 1))) (cbrt (/ 1 (sqrt (+ 1 (exp x)))))) (* (cbrt (- (exp (+ x x)) 1)) (cbrt (/ 1 (sqrt (+ 1 (exp x))))))) (/ (/ (exp x) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (cbrt (- (* (exp x) (exp x)) 1)) (sqrt (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 542 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) 1)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (208 enodes) * * [misc]simplify: iters left: 1 (386 enodes) * [exit]simplify: Simplified to (* (/ (/ 1 (cbrt (- (exp (+ x x)) 1))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (/ 1 (cbrt (- (exp (+ x x)) 1))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (/ 1 (cbrt (- (exp (+ x x)) 1))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (/ 1 (cbrt (- (exp (+ x x)) 1))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (/ (exp x) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * * [misc]simplify: iters left: 1 (121 enodes) * [exit]simplify: Simplified to (/ (/ (* (exp x) (sqrt (+ 1 (exp x)))) (cbrt (- (* (exp x) (exp x)) 1))) (cbrt (/ 1 (sqrt (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ 1 (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) 1)) (/ (/ (* (exp x) (sqrt (+ 1 (exp x)))) (cbrt (- (* (exp x) (exp x)) 1))) (cbrt (/ 1 (sqrt (+ 1 (exp x)))))))) * * * * [misc]progress: [ 543 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (sqrt (- (exp (+ x x)) 1)) (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (112 enodes) * * [misc]simplify: iters left: 2 (333 enodes) * [exit]simplify: Simplified to (* (/ (/ (cbrt (sqrt (+ 1 (exp x)))) (sqrt (- (exp (+ x x)) 1))) (cbrt (/ 1 (sqrt (+ 1 (exp x)))))) (/ (cbrt (sqrt (+ 1 (exp x)))) (cbrt (/ 1 (sqrt (+ 1 (exp x))))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (/ (cbrt (sqrt (+ 1 (exp x)))) (sqrt (- (exp (+ x x)) 1))) (cbrt (/ 1 (sqrt (+ 1 (exp x)))))) (/ (cbrt (sqrt (+ 1 (exp x)))) (cbrt (/ 1 (sqrt (+ 1 (exp x))))))) (/ (/ (exp x) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (cbrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (cbrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (122 enodes) * [exit]simplify: Simplified to (/ (/ (exp x) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (- (* (exp x) (exp x)) 1)) (cbrt (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (/ (cbrt (sqrt (+ 1 (exp x)))) (sqrt (- (exp (+ x x)) 1))) (cbrt (/ 1 (sqrt (+ 1 (exp x)))))) (/ (cbrt (sqrt (+ 1 (exp x)))) (cbrt (/ 1 (sqrt (+ 1 (exp x))))))) (/ (/ (exp x) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (- (* (exp x) (exp x)) 1)) (cbrt (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 544 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (137 enodes) * * [misc]simplify: iters left: 1 (294 enodes) * [exit]simplify: Simplified to (/ (/ (fabs (cbrt (+ (exp x) 1))) (sqrt (- (exp (+ x x)) 1))) (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (fabs (cbrt (+ (exp x) 1))) (sqrt (- (exp (+ x x)) 1))) (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (/ (exp x) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (cbrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (cbrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (122 enodes) * [exit]simplify: Simplified to (/ (/ (exp x) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (- (* (exp x) (exp x)) 1)) (sqrt (cbrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (fabs (cbrt (+ (exp x) 1))) (sqrt (- (exp (+ x x)) 1))) (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (/ (exp x) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (- (* (exp x) (exp x)) 1)) (sqrt (cbrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 545 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (175 enodes) * * [misc]simplify: iters left: 1 (470 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (sqrt (+ (exp x) 1))) (sqrt (- (exp (+ x x)) 1))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (/ (sqrt (sqrt (+ (exp x) 1))) (sqrt (- (exp (+ x x)) 1))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (/ (exp x) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (122 enodes) * [exit]simplify: Simplified to (/ (/ (exp x) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (- (* (exp x) (exp x)) 1)) (sqrt (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (/ (sqrt (sqrt (+ (exp x) 1))) (sqrt (- (exp (+ x x)) 1))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (/ (exp x) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (- (* (exp x) (exp x)) 1)) (sqrt (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 546 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (167 enodes) * * [misc]simplify: iters left: 1 (453 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt 1) (sqrt (- (exp (+ x x)) 1))) (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (sqrt 1) (sqrt (- (exp (+ x x)) 1))) (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (/ (exp x) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * * [misc]simplify: iters left: 1 (121 enodes) * [exit]simplify: Simplified to (/ (/ (* (exp x) (sqrt (+ 1 (exp x)))) (sqrt (- (* (exp x) (exp x)) 1))) (cbrt (/ 1 (sqrt (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt 1) (sqrt (- (exp (+ x x)) 1))) (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (/ (* (exp x) (sqrt (+ 1 (exp x)))) (sqrt (- (* (exp x) (exp x)) 1))) (cbrt (/ 1 (sqrt (+ 1 (exp x)))))))) * * * * [misc]progress: [ 547 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (175 enodes) * * [misc]simplify: iters left: 1 (470 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (sqrt (+ (exp x) 1))) (sqrt (- (exp (+ x x)) 1))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (/ (sqrt (sqrt (+ (exp x) 1))) (sqrt (- (exp (+ x x)) 1))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (/ (exp x) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (122 enodes) * [exit]simplify: Simplified to (/ (/ (exp x) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (- (* (exp x) (exp x)) 1)) (sqrt (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (/ (sqrt (sqrt (+ (exp x) 1))) (sqrt (- (exp (+ x x)) 1))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (/ (exp x) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (- (* (exp x) (exp x)) 1)) (sqrt (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 548 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (sqrt (- (exp (+ x x)) 1)) 1)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (95 enodes) * * [misc]simplify: iters left: 1 (145 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (- (exp (+ x x)) 1))) (* (cbrt (/ 1 (sqrt (+ 1 (exp x))))) (cbrt (/ 1 (sqrt (+ 1 (exp x))))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ 1 (sqrt (- (exp (+ x x)) 1))) (* (cbrt (/ 1 (sqrt (+ 1 (exp x))))) (cbrt (/ 1 (sqrt (+ 1 (exp x))))))) (/ (/ (exp x) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * * [misc]simplify: iters left: 1 (121 enodes) * [exit]simplify: Simplified to (/ (/ (* (exp x) (sqrt (+ 1 (exp x)))) (sqrt (- (* (exp x) (exp x)) 1))) (cbrt (/ 1 (sqrt (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ 1 (sqrt (- (exp (+ x x)) 1))) (* (cbrt (/ 1 (sqrt (+ 1 (exp x))))) (cbrt (/ 1 (sqrt (+ 1 (exp x))))))) (/ (/ (* (exp x) (sqrt (+ 1 (exp x)))) (sqrt (- (* (exp x) (exp x)) 1))) (cbrt (/ 1 (sqrt (+ 1 (exp x)))))))) * * * * [misc]progress: [ 549 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ 1 (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (114 enodes) * * [misc]simplify: iters left: 2 (313 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 (exp x)))) (cbrt (/ 1 (sqrt (+ 1 (exp x)))))) (/ (cbrt (sqrt (+ 1 (exp x)))) (cbrt (/ 1 (sqrt (+ 1 (exp x))))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (cbrt (sqrt (+ 1 (exp x)))) (cbrt (/ 1 (sqrt (+ 1 (exp x)))))) (/ (cbrt (sqrt (+ 1 (exp x)))) (cbrt (/ 1 (sqrt (+ 1 (exp x))))))) (/ (/ (exp x) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp (+ x x)) 1) (cbrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp (+ x x)) 1) (cbrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (169 enodes) * * [misc]simplify: iters left: 1 (364 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt (+ 1 (exp x)))) (/ (- (* (exp x) (exp x)) 1) (exp x))) (cbrt (/ 1 (sqrt (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (cbrt (sqrt (+ 1 (exp x)))) (cbrt (/ 1 (sqrt (+ 1 (exp x)))))) (/ (cbrt (sqrt (+ 1 (exp x)))) (cbrt (/ 1 (sqrt (+ 1 (exp x))))))) (/ (/ (cbrt (sqrt (+ 1 (exp x)))) (/ (- (* (exp x) (exp x)) 1) (exp x))) (cbrt (/ 1 (sqrt (+ 1 (exp x)))))))) * * * * [misc]progress: [ 550 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ 1 (sqrt (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (144 enodes) * * [misc]simplify: iters left: 1 (176 enodes) * [exit]simplify: Simplified to (/ (fabs (cbrt (+ 1 (exp x)))) (* (cbrt (/ 1 (sqrt (+ 1 (exp x))))) (cbrt (/ 1 (sqrt (+ 1 (exp x))))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (fabs (cbrt (+ 1 (exp x)))) (* (cbrt (/ 1 (sqrt (+ 1 (exp x))))) (cbrt (/ 1 (sqrt (+ 1 (exp x))))))) (/ (/ (exp x) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp (+ x x)) 1) (sqrt (cbrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp (+ x x)) 1) (sqrt (cbrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (169 enodes) * * [misc]simplify: iters left: 1 (364 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cbrt (+ 1 (exp x)))) (/ (- (* (exp x) (exp x)) 1) (exp x))) (cbrt (/ 1 (sqrt (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (fabs (cbrt (+ 1 (exp x)))) (* (cbrt (/ 1 (sqrt (+ 1 (exp x))))) (cbrt (/ 1 (sqrt (+ 1 (exp x))))))) (/ (/ (sqrt (cbrt (+ 1 (exp x)))) (/ (- (* (exp x) (exp x)) 1) (exp x))) (cbrt (/ 1 (sqrt (+ 1 (exp x)))))))) * * * * [misc]progress: [ 551 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ 1 (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (167 enodes) * * [misc]simplify: iters left: 1 (212 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 (exp x)))) (* (cbrt (/ 1 (sqrt (+ 1 (exp x))))) (cbrt (/ 1 (sqrt (+ 1 (exp x))))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (sqrt (+ 1 (exp x)))) (* (cbrt (/ 1 (sqrt (+ 1 (exp x))))) (cbrt (/ 1 (sqrt (+ 1 (exp x))))))) (/ (/ (exp x) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp (+ x x)) 1) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp (+ x x)) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (169 enodes) * * [misc]simplify: iters left: 1 (364 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (+ 1 (exp x)))) (/ (- (* (exp x) (exp x)) 1) (exp x))) (cbrt (/ 1 (sqrt (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (sqrt (+ 1 (exp x)))) (* (cbrt (/ 1 (sqrt (+ 1 (exp x))))) (cbrt (/ 1 (sqrt (+ 1 (exp x))))))) (/ (/ (sqrt (sqrt (+ 1 (exp x)))) (/ (- (* (exp x) (exp x)) 1) (exp x))) (cbrt (/ 1 (sqrt (+ 1 (exp x)))))))) * * * * [misc]progress: [ 552 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ 1 (sqrt 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (166 enodes) * * [misc]simplify: iters left: 1 (213 enodes) * [exit]simplify: Simplified to (/ (sqrt 1) (* (cbrt (/ 1 (sqrt (+ 1 (exp x))))) (cbrt (/ 1 (sqrt (+ 1 (exp x))))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt 1) (* (cbrt (/ 1 (sqrt (+ 1 (exp x))))) (cbrt (/ 1 (sqrt (+ 1 (exp x))))))) (/ (/ (exp x) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (201 enodes) * * [misc]simplify: iters left: 1 (451 enodes) * [exit]simplify: Simplified to (/ (* (exp x) (/ (sqrt (+ (exp x) 1)) (- (* (exp x) (exp x)) 1))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt 1) (* (cbrt (/ 1 (sqrt (+ 1 (exp x))))) (cbrt (/ 1 (sqrt (+ 1 (exp x))))))) (/ (* (exp x) (/ (sqrt (+ (exp x) 1)) (- (* (exp x) (exp x)) 1))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 553 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ 1 (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (167 enodes) * * [misc]simplify: iters left: 1 (212 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 (exp x)))) (* (cbrt (/ 1 (sqrt (+ 1 (exp x))))) (cbrt (/ 1 (sqrt (+ 1 (exp x))))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (sqrt (+ 1 (exp x)))) (* (cbrt (/ 1 (sqrt (+ 1 (exp x))))) (cbrt (/ 1 (sqrt (+ 1 (exp x))))))) (/ (/ (exp x) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp (+ x x)) 1) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp (+ x x)) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (169 enodes) * * [misc]simplify: iters left: 1 (364 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (+ 1 (exp x)))) (/ (- (* (exp x) (exp x)) 1) (exp x))) (cbrt (/ 1 (sqrt (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (sqrt (+ 1 (exp x)))) (* (cbrt (/ 1 (sqrt (+ 1 (exp x))))) (cbrt (/ 1 (sqrt (+ 1 (exp x))))))) (/ (/ (sqrt (sqrt (+ 1 (exp x)))) (/ (- (* (exp x) (exp x)) 1) (exp x))) (cbrt (/ 1 (sqrt (+ 1 (exp x)))))))) * * * * [misc]progress: [ 554 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ 1 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (/ 1 (sqrt (+ 1 (exp x)))))) (cbrt (/ 1 (sqrt (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ 1 (cbrt (/ 1 (sqrt (+ 1 (exp x)))))) (cbrt (/ 1 (sqrt (+ 1 (exp x)))))) (/ (/ (exp x) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (201 enodes) * * [misc]simplify: iters left: 1 (451 enodes) * [exit]simplify: Simplified to (/ (* (exp x) (/ (sqrt (+ (exp x) 1)) (- (* (exp x) (exp x)) 1))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ 1 (cbrt (/ 1 (sqrt (+ 1 (exp x)))))) (cbrt (/ 1 (sqrt (+ 1 (exp x)))))) (/ (* (exp x) (/ (sqrt (+ (exp x) 1)) (- (* (exp x) (exp x)) 1))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 555 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (+ (exp x) 1) (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (332 enodes) * [exit]simplify: Simplified to (* (/ (/ (cbrt (sqrt (+ 1 (exp x)))) (+ 1 (exp x))) (cbrt (/ 1 (sqrt (+ 1 (exp x)))))) (/ (cbrt (sqrt (+ 1 (exp x)))) (cbrt (/ 1 (sqrt (+ 1 (exp x))))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (/ (cbrt (sqrt (+ 1 (exp x)))) (+ 1 (exp x))) (cbrt (/ 1 (sqrt (+ 1 (exp x)))))) (/ (cbrt (sqrt (+ 1 (exp x)))) (cbrt (/ 1 (sqrt (+ 1 (exp x))))))) (/ (/ (exp x) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp x) 1) (cbrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp x) 1) (cbrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (91 enodes) * * [misc]simplify: iters left: 1 (122 enodes) * [exit]simplify: Simplified to (/ (* (/ (exp x) (- (exp x) 1)) (cbrt (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (/ (cbrt (sqrt (+ 1 (exp x)))) (+ 1 (exp x))) (cbrt (/ 1 (sqrt (+ 1 (exp x)))))) (/ (cbrt (sqrt (+ 1 (exp x)))) (cbrt (/ 1 (sqrt (+ 1 (exp x))))))) (/ (* (/ (exp x) (- (exp x) 1)) (cbrt (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 556 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (+ (exp x) 1) (sqrt (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (125 enodes) * * [misc]simplify: iters left: 1 (425 enodes) * [exit]simplify: Simplified to (/ (/ (fabs (cbrt (+ 1 (exp x)))) (cbrt (/ 1 (sqrt (+ 1 (exp x)))))) (* (+ 1 (exp x)) (cbrt (/ 1 (sqrt (+ 1 (exp x))))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (fabs (cbrt (+ 1 (exp x)))) (cbrt (/ 1 (sqrt (+ 1 (exp x)))))) (* (+ 1 (exp x)) (cbrt (/ 1 (sqrt (+ 1 (exp x))))))) (/ (/ (exp x) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp x) 1) (sqrt (cbrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp x) 1) (sqrt (cbrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (91 enodes) * * [misc]simplify: iters left: 1 (122 enodes) * [exit]simplify: Simplified to (/ (* (/ (exp x) (- (exp x) 1)) (sqrt (cbrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (fabs (cbrt (+ 1 (exp x)))) (cbrt (/ 1 (sqrt (+ 1 (exp x)))))) (* (+ 1 (exp x)) (cbrt (/ 1 (sqrt (+ 1 (exp x))))))) (/ (* (/ (exp x) (- (exp x) 1)) (sqrt (cbrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 557 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (+ (exp x) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (165 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (+ 1 (exp x)))) (cbrt (/ 1 (sqrt (+ 1 (exp x)))))) (* (+ 1 (exp x)) (cbrt (/ 1 (sqrt (+ 1 (exp x))))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (sqrt (sqrt (+ 1 (exp x)))) (cbrt (/ 1 (sqrt (+ 1 (exp x)))))) (* (+ 1 (exp x)) (cbrt (/ 1 (sqrt (+ 1 (exp x))))))) (/ (/ (exp x) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp x) 1) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp x) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (91 enodes) * * [misc]simplify: iters left: 1 (122 enodes) * [exit]simplify: Simplified to (/ (* (/ (exp x) (- (exp x) 1)) (sqrt (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (sqrt (+ 1 (exp x)))) (cbrt (/ 1 (sqrt (+ 1 (exp x)))))) (* (+ 1 (exp x)) (cbrt (/ 1 (sqrt (+ 1 (exp x))))))) (/ (* (/ (exp x) (- (exp x) 1)) (sqrt (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 558 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (+ (exp x) 1) (sqrt 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (157 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt 1) (cbrt (/ 1 (sqrt (+ 1 (exp x)))))) (* (+ 1 (exp x)) (cbrt (/ 1 (sqrt (+ 1 (exp x))))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (sqrt 1) (cbrt (/ 1 (sqrt (+ 1 (exp x)))))) (* (+ 1 (exp x)) (cbrt (/ 1 (sqrt (+ 1 (exp x))))))) (/ (/ (exp x) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp x) 1) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp x) 1) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (107 enodes) * * [misc]simplify: iters left: 1 (157 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (+ (exp x) 1)) (/ (exp x) (- (exp x) 1))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt 1) (cbrt (/ 1 (sqrt (+ 1 (exp x)))))) (* (+ 1 (exp x)) (cbrt (/ 1 (sqrt (+ 1 (exp x))))))) (/ (* (sqrt (+ (exp x) 1)) (/ (exp x) (- (exp x) 1))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 559 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (+ (exp x) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (165 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (+ 1 (exp x)))) (cbrt (/ 1 (sqrt (+ 1 (exp x)))))) (* (+ 1 (exp x)) (cbrt (/ 1 (sqrt (+ 1 (exp x))))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (sqrt (sqrt (+ 1 (exp x)))) (cbrt (/ 1 (sqrt (+ 1 (exp x)))))) (* (+ 1 (exp x)) (cbrt (/ 1 (sqrt (+ 1 (exp x))))))) (/ (/ (exp x) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp x) 1) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp x) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (91 enodes) * * [misc]simplify: iters left: 1 (122 enodes) * [exit]simplify: Simplified to (/ (* (/ (exp x) (- (exp x) 1)) (sqrt (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (sqrt (+ 1 (exp x)))) (cbrt (/ 1 (sqrt (+ 1 (exp x)))))) (* (+ 1 (exp x)) (cbrt (/ 1 (sqrt (+ 1 (exp x))))))) (/ (* (/ (exp x) (- (exp x) 1)) (sqrt (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 560 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (+ (exp x) 1) 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (167 enodes) * [exit]simplify: Simplified to (/ (/ 1 (+ 1 (exp x))) (* (cbrt (/ 1 (sqrt (+ 1 (exp x))))) (cbrt (/ 1 (sqrt (+ 1 (exp x))))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ 1 (+ 1 (exp x))) (* (cbrt (/ 1 (sqrt (+ 1 (exp x))))) (cbrt (/ 1 (sqrt (+ 1 (exp x))))))) (/ (/ (exp x) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp x) 1) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp x) 1) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (107 enodes) * * [misc]simplify: iters left: 1 (157 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (+ (exp x) 1)) (/ (exp x) (- (exp x) 1))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ 1 (+ 1 (exp x))) (* (cbrt (/ 1 (sqrt (+ 1 (exp x))))) (cbrt (/ 1 (sqrt (+ 1 (exp x))))))) (/ (* (sqrt (+ (exp x) 1)) (/ (exp x) (- (exp x) 1))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 561 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (+ (sqrt (exp (+ x x))) 1) (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (107 enodes) * * [misc]simplify: iters left: 2 (339 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 (exp x)))) (cbrt (/ 1 (sqrt (+ 1 (exp x)))))) (/ (/ (cbrt (sqrt (+ 1 (exp x)))) (+ 1 (fabs (exp x)))) (cbrt (/ 1 (sqrt (+ 1 (exp x))))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (cbrt (sqrt (+ 1 (exp x)))) (cbrt (/ 1 (sqrt (+ 1 (exp x)))))) (/ (/ (cbrt (sqrt (+ 1 (exp x)))) (+ 1 (fabs (exp x)))) (cbrt (/ 1 (sqrt (+ 1 (exp x))))))) (/ (/ (exp x) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (sqrt (exp (+ x x))) 1) (cbrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (sqrt (exp (+ x x))) 1) (cbrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (127 enodes) * [exit]simplify: Simplified to (/ (* (/ (exp x) (- (fabs (exp x)) 1)) (cbrt (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (cbrt (sqrt (+ 1 (exp x)))) (cbrt (/ 1 (sqrt (+ 1 (exp x)))))) (/ (/ (cbrt (sqrt (+ 1 (exp x)))) (+ 1 (fabs (exp x)))) (cbrt (/ 1 (sqrt (+ 1 (exp x))))))) (/ (* (/ (exp x) (- (fabs (exp x)) 1)) (cbrt (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 562 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (+ (sqrt (exp (+ x x))) 1) (sqrt (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (133 enodes) * * [misc]simplify: iters left: 1 (427 enodes) * [exit]simplify: Simplified to (/ (/ (fabs (cbrt (+ 1 (exp x)))) (+ 1 (fabs (exp x)))) (* (cbrt (/ 1 (sqrt (+ 1 (exp x))))) (cbrt (/ 1 (sqrt (+ 1 (exp x))))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (fabs (cbrt (+ 1 (exp x)))) (+ 1 (fabs (exp x)))) (* (cbrt (/ 1 (sqrt (+ 1 (exp x))))) (cbrt (/ 1 (sqrt (+ 1 (exp x))))))) (/ (/ (exp x) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (cbrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (cbrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (127 enodes) * [exit]simplify: Simplified to (/ (* (/ (exp x) (- (fabs (exp x)) 1)) (sqrt (cbrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (fabs (cbrt (+ 1 (exp x)))) (+ 1 (fabs (exp x)))) (* (cbrt (/ 1 (sqrt (+ 1 (exp x))))) (cbrt (/ 1 (sqrt (+ 1 (exp x))))))) (/ (* (/ (exp x) (- (fabs (exp x)) 1)) (sqrt (cbrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 563 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (+ (sqrt (exp (+ x x))) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (171 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (sqrt (+ 1 (exp x)))) (+ 1 (fabs (exp x)))) (cbrt (/ 1 (sqrt (+ 1 (exp x)))))) (cbrt (/ 1 (sqrt (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (/ (sqrt (sqrt (+ 1 (exp x)))) (+ 1 (fabs (exp x)))) (cbrt (/ 1 (sqrt (+ 1 (exp x)))))) (cbrt (/ 1 (sqrt (+ 1 (exp x)))))) (/ (/ (exp x) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (127 enodes) * [exit]simplify: Simplified to (/ (* (/ (exp x) (- (fabs (exp x)) 1)) (sqrt (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (/ (sqrt (sqrt (+ 1 (exp x)))) (+ 1 (fabs (exp x)))) (cbrt (/ 1 (sqrt (+ 1 (exp x)))))) (cbrt (/ 1 (sqrt (+ 1 (exp x)))))) (/ (* (/ (exp x) (- (fabs (exp x)) 1)) (sqrt (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 564 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (+ (sqrt (exp (+ x x))) 1) (sqrt 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (164 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt 1) (cbrt (/ 1 (sqrt (+ 1 (exp x)))))) (* (cbrt (/ 1 (sqrt (+ 1 (exp x))))) (+ 1 (fabs (exp x))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (sqrt 1) (cbrt (/ 1 (sqrt (+ 1 (exp x)))))) (* (cbrt (/ 1 (sqrt (+ 1 (exp x))))) (+ 1 (fabs (exp x))))) (/ (/ (exp x) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (128 enodes) * [exit]simplify: Simplified to (/ (/ (exp x) (/ (- (fabs (exp x)) 1) (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt 1) (cbrt (/ 1 (sqrt (+ 1 (exp x)))))) (* (cbrt (/ 1 (sqrt (+ 1 (exp x))))) (+ 1 (fabs (exp x))))) (/ (/ (exp x) (/ (- (fabs (exp x)) 1) (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 565 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (+ (sqrt (exp (+ x x))) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (171 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (sqrt (+ 1 (exp x)))) (+ 1 (fabs (exp x)))) (cbrt (/ 1 (sqrt (+ 1 (exp x)))))) (cbrt (/ 1 (sqrt (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (/ (sqrt (sqrt (+ 1 (exp x)))) (+ 1 (fabs (exp x)))) (cbrt (/ 1 (sqrt (+ 1 (exp x)))))) (cbrt (/ 1 (sqrt (+ 1 (exp x)))))) (/ (/ (exp x) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (127 enodes) * [exit]simplify: Simplified to (/ (* (/ (exp x) (- (fabs (exp x)) 1)) (sqrt (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (/ (sqrt (sqrt (+ 1 (exp x)))) (+ 1 (fabs (exp x)))) (cbrt (/ 1 (sqrt (+ 1 (exp x)))))) (cbrt (/ 1 (sqrt (+ 1 (exp x)))))) (/ (* (/ (exp x) (- (fabs (exp x)) 1)) (sqrt (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 566 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (+ (sqrt (exp (+ x x))) 1) 1)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (108 enodes) * * [misc]simplify: iters left: 1 (175 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (/ 1 (sqrt (+ 1 (exp x)))))) (* (+ 1 (fabs (exp x))) (cbrt (/ 1 (sqrt (+ 1 (exp x))))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ 1 (cbrt (/ 1 (sqrt (+ 1 (exp x)))))) (* (+ 1 (fabs (exp x))) (cbrt (/ 1 (sqrt (+ 1 (exp x))))))) (/ (/ (exp x) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (128 enodes) * [exit]simplify: Simplified to (/ (/ (exp x) (/ (- (fabs (exp x)) 1) (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ 1 (cbrt (/ 1 (sqrt (+ 1 (exp x)))))) (* (+ 1 (fabs (exp x))) (cbrt (/ 1 (sqrt (+ 1 (exp x))))))) (/ (/ (exp x) (/ (- (fabs (exp x)) 1) (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 567 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (/ 1 (sqrt (+ 1 (exp x)))))) (cbrt (/ 1 (sqrt (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ 1 (cbrt (/ 1 (sqrt (+ 1 (exp x)))))) (cbrt (/ 1 (sqrt (+ 1 (exp x)))))) (/ (/ (exp x) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (201 enodes) * * [misc]simplify: iters left: 1 (451 enodes) * [exit]simplify: Simplified to (/ (* (exp x) (/ (sqrt (+ (exp x) 1)) (- (* (exp x) (exp x)) 1))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ 1 (cbrt (/ 1 (sqrt (+ 1 (exp x)))))) (cbrt (/ 1 (sqrt (+ 1 (exp x)))))) (/ (* (exp x) (/ (sqrt (+ (exp x) 1)) (- (* (exp x) (exp x)) 1))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 568 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (- (exp (+ x x)) 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (126 enodes) * * [misc]simplify: iters left: 1 (359 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (+ 1 (exp x))) (cbrt (/ 1 (sqrt (+ 1 (exp x)))))) (* (cbrt (/ 1 (sqrt (+ 1 (exp x))))) (- (exp x) 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (/ 1 (+ 1 (exp x))) (cbrt (/ 1 (sqrt (+ 1 (exp x)))))) (* (cbrt (/ 1 (sqrt (+ 1 (exp x))))) (- (exp x) 1))) (/ (/ (exp x) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ 1 (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ 1 (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (143 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (+ (exp x) 1)) (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ 1 (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (- (exp (+ x x)) 1)) (/ (* (sqrt (+ (exp x) 1)) (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 569 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (- (exp (+ x x)) 1) (sqrt (+ (pow 1 3) (pow (exp x) 3))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (117 enodes) * * [misc]simplify: iters left: 2 (322 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ 1 (pow (exp x) 3))) (- (exp (+ x x)) 1)) (cbrt (/ 1 (sqrt (+ 1 (exp x)))))) (cbrt (/ 1 (sqrt (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (/ (sqrt (+ 1 (pow (exp x) 3))) (- (exp (+ x x)) 1)) (cbrt (/ 1 (sqrt (+ 1 (exp x)))))) (cbrt (/ 1 (sqrt (+ 1 (exp x)))))) (/ (/ (exp x) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (sqrt (+ (* 1 1) (- (* (exp x) (exp x)) (* 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (sqrt (+ (* 1 1) (- (* (exp x) (exp x)) (* 1 (exp x)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (117 enodes) * * [misc]simplify: iters left: 2 (194 enodes) * * [misc]simplify: iters left: 1 (292 enodes) * [exit]simplify: Simplified to (/ (/ (exp x) (sqrt (- (* (exp x) (exp x)) (- (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (/ (sqrt (+ 1 (pow (exp x) 3))) (- (exp (+ x x)) 1)) (cbrt (/ 1 (sqrt (+ 1 (exp x)))))) (cbrt (/ 1 (sqrt (+ 1 (exp x)))))) (/ (/ (exp x) (sqrt (- (* (exp x) (exp x)) (- (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 570 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (- (exp (+ x x)) 1) (sqrt (- (* 1 1) (* (exp x) (exp x)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (112 enodes) * * [misc]simplify: iters left: 2 (317 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- 1 (exp (+ x x)))) (cbrt (/ 1 (sqrt (+ 1 (exp x)))))) (* (- (exp (+ x x)) 1) (cbrt (/ 1 (sqrt (+ 1 (exp x))))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (sqrt (- 1 (exp (+ x x)))) (cbrt (/ 1 (sqrt (+ 1 (exp x)))))) (* (- (exp (+ x x)) 1) (cbrt (/ 1 (sqrt (+ 1 (exp x))))))) (/ (/ (exp x) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (sqrt (- 1 (exp x)))))) * [enter]simplify: Simplifying (/ (/ (exp x) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (sqrt (- 1 (exp x)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (/ (exp x) (sqrt (- 1 (exp x)))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (- 1 (exp (+ x x)))) (cbrt (/ 1 (sqrt (+ 1 (exp x)))))) (* (- (exp (+ x x)) 1) (cbrt (/ 1 (sqrt (+ 1 (exp x))))))) (/ (/ (exp x) (sqrt (- 1 (exp x)))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 571 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (* (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))) (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (122 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (* (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ (exp x) 1)))) (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ (exp x) 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ 1 (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (* (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ (exp x) 1)))) (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ (exp x) 1)))))) (/ (/ (exp x) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (109 enodes) * [exit]simplify: Simplified to (/ (exp x) (* (cbrt (/ (- (* (exp x) (exp x)) 1) (sqrt (+ 1 (exp x))))) (sqrt (/ 1 (sqrt (+ 1 (exp x))))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ 1 (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (* (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))) (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))))) (/ (exp x) (* (cbrt (/ (- (* (exp x) (exp x)) 1) (sqrt (+ 1 (exp x))))) (sqrt (/ 1 (sqrt (+ 1 (exp x))))))))) * * * * [misc]progress: [ 572 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (sqrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (110 enodes) * [exit]simplify: Simplified to (/ 1 (* (sqrt (/ (- (exp (+ x x)) 1) (sqrt (+ (exp x) 1)))) (sqrt (/ 1 (sqrt (+ (exp x) 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ 1 (* (sqrt (/ (- (exp (+ x x)) 1) (sqrt (+ (exp x) 1)))) (sqrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (/ (exp x) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (sqrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (sqrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (109 enodes) * [exit]simplify: Simplified to (/ (exp x) (* (sqrt (/ (- (* (exp x) (exp x)) 1) (sqrt (+ 1 (exp x))))) (sqrt (/ 1 (sqrt (+ 1 (exp x))))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ 1 (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (sqrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) (/ (exp x) (* (sqrt (/ (- (* (exp x) (exp x)) 1) (sqrt (+ 1 (exp x))))) (sqrt (/ 1 (sqrt (+ 1 (exp x))))))))) * * * * [misc]progress: [ 573 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (155 enodes) * * [misc]simplify: iters left: 2 (446 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 (exp x)))) (cbrt (- (exp (+ x x)) 1))) (/ (/ (cbrt (sqrt (+ 1 (exp x)))) (cbrt (- (exp (+ x x)) 1))) (sqrt (/ 1 (sqrt (+ 1 (exp x))))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (cbrt (sqrt (+ 1 (exp x)))) (cbrt (- (exp (+ x x)) 1))) (/ (/ (cbrt (sqrt (+ 1 (exp x)))) (cbrt (- (exp (+ x x)) 1))) (sqrt (/ 1 (sqrt (+ 1 (exp x))))))) (/ (/ (exp x) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (cbrt (- (exp (+ x x)) 1)) (cbrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (cbrt (- (exp (+ x x)) 1)) (cbrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (122 enodes) * [exit]simplify: Simplified to (/ (/ (exp x) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (cbrt (- (* (exp x) (exp x)) 1)) (cbrt (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (cbrt (sqrt (+ 1 (exp x)))) (cbrt (- (exp (+ x x)) 1))) (/ (/ (cbrt (sqrt (+ 1 (exp x)))) (cbrt (- (exp (+ x x)) 1))) (sqrt (/ 1 (sqrt (+ 1 (exp x))))))) (/ (/ (exp x) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (cbrt (- (* (exp x) (exp x)) 1)) (cbrt (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 574 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (sqrt (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (158 enodes) * * [misc]simplify: iters left: 1 (318 enodes) * [exit]simplify: Simplified to (/ (/ (fabs (cbrt (+ 1 (exp x)))) (cbrt (- (exp (+ x x)) 1))) (* (cbrt (- (exp (+ x x)) 1)) (sqrt (/ 1 (sqrt (+ 1 (exp x))))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (fabs (cbrt (+ 1 (exp x)))) (cbrt (- (exp (+ x x)) 1))) (* (cbrt (- (exp (+ x x)) 1)) (sqrt (/ 1 (sqrt (+ 1 (exp x))))))) (/ (/ (exp x) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (cbrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (cbrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (122 enodes) * [exit]simplify: Simplified to (/ (/ (exp x) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (cbrt (- (* (exp x) (exp x)) 1)) (sqrt (cbrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (fabs (cbrt (+ 1 (exp x)))) (cbrt (- (exp (+ x x)) 1))) (* (cbrt (- (exp (+ x x)) 1)) (sqrt (/ 1 (sqrt (+ 1 (exp x))))))) (/ (/ (exp x) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (cbrt (- (* (exp x) (exp x)) 1)) (sqrt (cbrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 575 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (202 enodes) * * [misc]simplify: iters left: 1 (482 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (+ 1 (exp x)))) (sqrt (/ 1 (sqrt (+ 1 (exp x)))))) (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (sqrt (sqrt (+ 1 (exp x)))) (sqrt (/ 1 (sqrt (+ 1 (exp x)))))) (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1)))) (/ (/ (exp x) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (122 enodes) * [exit]simplify: Simplified to (/ (/ (exp x) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (cbrt (- (* (exp x) (exp x)) 1)) (sqrt (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (sqrt (+ 1 (exp x)))) (sqrt (/ 1 (sqrt (+ 1 (exp x)))))) (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1)))) (/ (/ (exp x) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (cbrt (- (* (exp x) (exp x)) 1)) (sqrt (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 576 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (sqrt 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (201 enodes) * * [misc]simplify: iters left: 1 (483 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt 1) (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1)))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (sqrt 1) (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1)))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (/ (exp x) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * * [misc]simplify: iters left: 1 (121 enodes) * [exit]simplify: Simplified to (/ (/ (* (exp x) (sqrt (+ 1 (exp x)))) (cbrt (- (* (exp x) (exp x)) 1))) (sqrt (/ 1 (sqrt (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt 1) (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1)))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (/ (* (exp x) (sqrt (+ 1 (exp x)))) (cbrt (- (* (exp x) (exp x)) 1))) (sqrt (/ 1 (sqrt (+ 1 (exp x)))))))) * * * * [misc]progress: [ 577 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (202 enodes) * * [misc]simplify: iters left: 1 (482 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (+ 1 (exp x)))) (sqrt (/ 1 (sqrt (+ 1 (exp x)))))) (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (sqrt (sqrt (+ 1 (exp x)))) (sqrt (/ 1 (sqrt (+ 1 (exp x)))))) (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1)))) (/ (/ (exp x) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (122 enodes) * [exit]simplify: Simplified to (/ (/ (exp x) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (cbrt (- (* (exp x) (exp x)) 1)) (sqrt (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (sqrt (+ 1 (exp x)))) (sqrt (/ 1 (sqrt (+ 1 (exp x)))))) (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1)))) (/ (/ (exp x) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (cbrt (- (* (exp x) (exp x)) 1)) (sqrt (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 578 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) 1)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (130 enodes) * * [misc]simplify: iters left: 1 (222 enodes) * [exit]simplify: Simplified to (/ (* (/ 1 (cbrt (- (exp (+ x x)) 1))) (/ 1 (cbrt (- (exp (+ x x)) 1)))) (sqrt (/ 1 (sqrt (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (/ 1 (cbrt (- (exp (+ x x)) 1))) (/ 1 (cbrt (- (exp (+ x x)) 1)))) (sqrt (/ 1 (sqrt (+ 1 (exp x)))))) (/ (/ (exp x) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * * [misc]simplify: iters left: 1 (121 enodes) * [exit]simplify: Simplified to (/ (/ (* (exp x) (sqrt (+ 1 (exp x)))) (cbrt (- (* (exp x) (exp x)) 1))) (sqrt (/ 1 (sqrt (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ 1 (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) 1)) (/ (/ (* (exp x) (sqrt (+ 1 (exp x)))) (cbrt (- (* (exp x) (exp x)) 1))) (sqrt (/ 1 (sqrt (+ 1 (exp x)))))))) * * * * [misc]progress: [ 579 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (205 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 (exp x)))) (sqrt (/ 1 (sqrt (+ 1 (exp x)))))) (/ (cbrt (sqrt (+ 1 (exp x)))) (sqrt (- (exp (+ x x)) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (cbrt (sqrt (+ 1 (exp x)))) (sqrt (/ 1 (sqrt (+ 1 (exp x)))))) (/ (cbrt (sqrt (+ 1 (exp x)))) (sqrt (- (exp (+ x x)) 1)))) (/ (/ (exp x) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (cbrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (cbrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (122 enodes) * [exit]simplify: Simplified to (/ (/ (exp x) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (- (* (exp x) (exp x)) 1)) (cbrt (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (cbrt (sqrt (+ 1 (exp x)))) (sqrt (/ 1 (sqrt (+ 1 (exp x)))))) (/ (cbrt (sqrt (+ 1 (exp x)))) (sqrt (- (exp (+ x x)) 1)))) (/ (/ (exp x) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (- (* (exp x) (exp x)) 1)) (cbrt (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 580 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (160 enodes) * [exit]simplify: Simplified to (/ (/ (fabs (cbrt (+ 1 (exp x)))) (sqrt (- (exp (+ x x)) 1))) (sqrt (/ 1 (sqrt (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (fabs (cbrt (+ 1 (exp x)))) (sqrt (- (exp (+ x x)) 1))) (sqrt (/ 1 (sqrt (+ 1 (exp x)))))) (/ (/ (exp x) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (cbrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (cbrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (122 enodes) * [exit]simplify: Simplified to (/ (/ (exp x) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (- (* (exp x) (exp x)) 1)) (sqrt (cbrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (fabs (cbrt (+ 1 (exp x)))) (sqrt (- (exp (+ x x)) 1))) (sqrt (/ 1 (sqrt (+ 1 (exp x)))))) (/ (/ (exp x) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (- (* (exp x) (exp x)) 1)) (sqrt (cbrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 581 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (169 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (+ (exp x) 1))) (sqrt (- (exp (+ x x)) 1))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (sqrt (sqrt (+ (exp x) 1))) (sqrt (- (exp (+ x x)) 1))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (/ (exp x) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (122 enodes) * [exit]simplify: Simplified to (/ (/ (exp x) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (- (* (exp x) (exp x)) 1)) (sqrt (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (sqrt (+ (exp x) 1))) (sqrt (- (exp (+ x x)) 1))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (/ (exp x) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (- (* (exp x) (exp x)) 1)) (sqrt (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 582 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (88 enodes) * * [misc]simplify: iters left: 1 (168 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt 1) (sqrt (- (exp (+ x x)) 1))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (sqrt 1) (sqrt (- (exp (+ x x)) 1))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (/ (exp x) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * * [misc]simplify: iters left: 1 (121 enodes) * [exit]simplify: Simplified to (/ (/ (* (exp x) (sqrt (+ 1 (exp x)))) (sqrt (- (* (exp x) (exp x)) 1))) (sqrt (/ 1 (sqrt (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt 1) (sqrt (- (exp (+ x x)) 1))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (/ (* (exp x) (sqrt (+ 1 (exp x)))) (sqrt (- (* (exp x) (exp x)) 1))) (sqrt (/ 1 (sqrt (+ 1 (exp x)))))))) * * * * [misc]progress: [ 583 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (169 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (+ (exp x) 1))) (sqrt (- (exp (+ x x)) 1))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (sqrt (sqrt (+ (exp x) 1))) (sqrt (- (exp (+ x x)) 1))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (/ (exp x) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (122 enodes) * [exit]simplify: Simplified to (/ (/ (exp x) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (- (* (exp x) (exp x)) 1)) (sqrt (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (sqrt (+ (exp x) 1))) (sqrt (- (exp (+ x x)) 1))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (/ (exp x) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (- (* (exp x) (exp x)) 1)) (sqrt (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 584 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (96 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (- (exp (+ x x)) 1))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ 1 (sqrt (- (exp (+ x x)) 1))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (/ (exp x) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * * [misc]simplify: iters left: 1 (121 enodes) * [exit]simplify: Simplified to (/ (/ (* (exp x) (sqrt (+ 1 (exp x)))) (sqrt (- (* (exp x) (exp x)) 1))) (sqrt (/ 1 (sqrt (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ 1 (sqrt (- (exp (+ x x)) 1))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (/ (* (exp x) (sqrt (+ 1 (exp x)))) (sqrt (- (* (exp x) (exp x)) 1))) (sqrt (/ 1 (sqrt (+ 1 (exp x)))))))) * * * * [misc]progress: [ 585 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ 1 (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (172 enodes) * * [misc]simplify: iters left: 1 (341 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))) (sqrt (/ 1 (sqrt (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))) (sqrt (/ 1 (sqrt (+ 1 (exp x)))))) (/ (/ (exp x) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp (+ x x)) 1) (cbrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp (+ x x)) 1) (cbrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (169 enodes) * * [misc]simplify: iters left: 1 (364 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt (+ 1 (exp x)))) (/ (- (* (exp x) (exp x)) 1) (exp x))) (sqrt (/ 1 (sqrt (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))) (sqrt (/ 1 (sqrt (+ 1 (exp x)))))) (/ (/ (cbrt (sqrt (+ 1 (exp x)))) (/ (- (* (exp x) (exp x)) 1) (exp x))) (sqrt (/ 1 (sqrt (+ 1 (exp x)))))))) * * * * [misc]progress: [ 586 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ 1 (sqrt (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (101 enodes) * [exit]simplify: Simplified to (/ (fabs (cbrt (+ 1 (exp x)))) (sqrt (/ 1 (sqrt (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (fabs (cbrt (+ 1 (exp x)))) (sqrt (/ 1 (sqrt (+ 1 (exp x)))))) (/ (/ (exp x) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp (+ x x)) 1) (sqrt (cbrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp (+ x x)) 1) (sqrt (cbrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (169 enodes) * * [misc]simplify: iters left: 1 (364 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cbrt (+ 1 (exp x)))) (/ (- (* (exp x) (exp x)) 1) (exp x))) (sqrt (/ 1 (sqrt (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (fabs (cbrt (+ 1 (exp x)))) (sqrt (/ 1 (sqrt (+ 1 (exp x)))))) (/ (/ (sqrt (cbrt (+ 1 (exp x)))) (/ (- (* (exp x) (exp x)) 1) (exp x))) (sqrt (/ 1 (sqrt (+ 1 (exp x)))))))) * * * * [misc]progress: [ 587 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ 1 (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (98 enodes) * * [misc]simplify: iters left: 1 (122 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 (exp x)))) (sqrt (/ 1 (sqrt (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (sqrt (+ 1 (exp x)))) (sqrt (/ 1 (sqrt (+ 1 (exp x)))))) (/ (/ (exp x) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp (+ x x)) 1) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp (+ x x)) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (169 enodes) * * [misc]simplify: iters left: 1 (364 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (+ 1 (exp x)))) (/ (- (* (exp x) (exp x)) 1) (exp x))) (sqrt (/ 1 (sqrt (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (sqrt (+ 1 (exp x)))) (sqrt (/ 1 (sqrt (+ 1 (exp x)))))) (/ (/ (sqrt (sqrt (+ 1 (exp x)))) (/ (- (* (exp x) (exp x)) 1) (exp x))) (sqrt (/ 1 (sqrt (+ 1 (exp x)))))))) * * * * [misc]progress: [ 588 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ 1 (sqrt 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (132 enodes) * [exit]simplify: Simplified to (/ (sqrt 1) (sqrt (/ 1 (sqrt (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt 1) (sqrt (/ 1 (sqrt (+ 1 (exp x)))))) (/ (/ (exp x) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (201 enodes) * * [misc]simplify: iters left: 1 (451 enodes) * [exit]simplify: Simplified to (/ (* (exp x) (/ (sqrt (+ (exp x) 1)) (- (* (exp x) (exp x)) 1))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt 1) (sqrt (/ 1 (sqrt (+ 1 (exp x)))))) (/ (* (exp x) (/ (sqrt (+ (exp x) 1)) (- (* (exp x) (exp x)) 1))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 589 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ 1 (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (98 enodes) * * [misc]simplify: iters left: 1 (122 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 (exp x)))) (sqrt (/ 1 (sqrt (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (sqrt (+ 1 (exp x)))) (sqrt (/ 1 (sqrt (+ 1 (exp x)))))) (/ (/ (exp x) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp (+ x x)) 1) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp (+ x x)) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (169 enodes) * * [misc]simplify: iters left: 1 (364 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (+ 1 (exp x)))) (/ (- (* (exp x) (exp x)) 1) (exp x))) (sqrt (/ 1 (sqrt (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (sqrt (+ 1 (exp x)))) (sqrt (/ 1 (sqrt (+ 1 (exp x)))))) (/ (/ (sqrt (sqrt (+ 1 (exp x)))) (/ (- (* (exp x) (exp x)) 1) (exp x))) (sqrt (/ 1 (sqrt (+ 1 (exp x)))))))) * * * * [misc]progress: [ 590 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ 1 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (/ 1 (sqrt (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ 1 (sqrt (/ 1 (sqrt (+ 1 (exp x)))))) (/ (/ (exp x) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (201 enodes) * * [misc]simplify: iters left: 1 (451 enodes) * [exit]simplify: Simplified to (/ (* (exp x) (/ (sqrt (+ (exp x) 1)) (- (* (exp x) (exp x)) 1))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ 1 (sqrt (/ 1 (sqrt (+ 1 (exp x)))))) (/ (* (exp x) (/ (sqrt (+ (exp x) 1)) (- (* (exp x) (exp x)) 1))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 591 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (+ (exp x) 1) (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (240 enodes) * [exit]simplify: Simplified to (* (/ (/ (cbrt (sqrt (+ 1 (exp x)))) (+ 1 (exp x))) (sqrt (/ 1 (sqrt (+ 1 (exp x)))))) (cbrt (sqrt (+ 1 (exp x))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (/ (cbrt (sqrt (+ 1 (exp x)))) (+ 1 (exp x))) (sqrt (/ 1 (sqrt (+ 1 (exp x)))))) (cbrt (sqrt (+ 1 (exp x))))) (/ (/ (exp x) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp x) 1) (cbrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp x) 1) (cbrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (91 enodes) * * [misc]simplify: iters left: 1 (122 enodes) * [exit]simplify: Simplified to (/ (* (/ (exp x) (- (exp x) 1)) (cbrt (sqrt (+ (exp x) 1)))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (/ (cbrt (sqrt (+ 1 (exp x)))) (+ 1 (exp x))) (sqrt (/ 1 (sqrt (+ 1 (exp x)))))) (cbrt (sqrt (+ 1 (exp x))))) (/ (* (/ (exp x) (- (exp x) 1)) (cbrt (sqrt (+ (exp x) 1)))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 592 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (+ (exp x) 1) (sqrt (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (94 enodes) * * [misc]simplify: iters left: 1 (230 enodes) * [exit]simplify: Simplified to (/ (/ (fabs (cbrt (+ 1 (exp x)))) (+ 1 (exp x))) (sqrt (/ 1 (sqrt (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (fabs (cbrt (+ 1 (exp x)))) (+ 1 (exp x))) (sqrt (/ 1 (sqrt (+ 1 (exp x)))))) (/ (/ (exp x) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp x) 1) (sqrt (cbrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp x) 1) (sqrt (cbrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (91 enodes) * * [misc]simplify: iters left: 1 (122 enodes) * [exit]simplify: Simplified to (/ (* (/ (exp x) (- (exp x) 1)) (sqrt (cbrt (+ (exp x) 1)))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (fabs (cbrt (+ 1 (exp x)))) (+ 1 (exp x))) (sqrt (/ 1 (sqrt (+ 1 (exp x)))))) (/ (* (/ (exp x) (- (exp x) 1)) (sqrt (cbrt (+ (exp x) 1)))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 593 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (+ (exp x) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (98 enodes) * * [misc]simplify: iters left: 1 (260 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (+ 1 (exp x)))) (+ 1 (exp x))) (sqrt (/ 1 (sqrt (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (sqrt (sqrt (+ 1 (exp x)))) (+ 1 (exp x))) (sqrt (/ 1 (sqrt (+ 1 (exp x)))))) (/ (/ (exp x) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp x) 1) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp x) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (91 enodes) * * [misc]simplify: iters left: 1 (122 enodes) * [exit]simplify: Simplified to (/ (* (/ (exp x) (- (exp x) 1)) (sqrt (sqrt (+ (exp x) 1)))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (sqrt (+ 1 (exp x)))) (+ 1 (exp x))) (sqrt (/ 1 (sqrt (+ 1 (exp x)))))) (/ (* (/ (exp x) (- (exp x) 1)) (sqrt (sqrt (+ (exp x) 1)))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 594 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (+ (exp x) 1) (sqrt 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (155 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt 1) (+ 1 (exp x))) (sqrt (/ 1 (sqrt (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (sqrt 1) (+ 1 (exp x))) (sqrt (/ 1 (sqrt (+ 1 (exp x)))))) (/ (/ (exp x) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp x) 1) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp x) 1) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (107 enodes) * * [misc]simplify: iters left: 1 (157 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (+ (exp x) 1)) (/ (exp x) (- (exp x) 1))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt 1) (+ 1 (exp x))) (sqrt (/ 1 (sqrt (+ 1 (exp x)))))) (/ (* (sqrt (+ (exp x) 1)) (/ (exp x) (- (exp x) 1))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 595 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (+ (exp x) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (98 enodes) * * [misc]simplify: iters left: 1 (260 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (+ 1 (exp x)))) (+ 1 (exp x))) (sqrt (/ 1 (sqrt (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (sqrt (sqrt (+ 1 (exp x)))) (+ 1 (exp x))) (sqrt (/ 1 (sqrt (+ 1 (exp x)))))) (/ (/ (exp x) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp x) 1) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp x) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (91 enodes) * * [misc]simplify: iters left: 1 (122 enodes) * [exit]simplify: Simplified to (/ (* (/ (exp x) (- (exp x) 1)) (sqrt (sqrt (+ (exp x) 1)))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (sqrt (+ 1 (exp x)))) (+ 1 (exp x))) (sqrt (/ 1 (sqrt (+ 1 (exp x)))))) (/ (* (/ (exp x) (- (exp x) 1)) (sqrt (sqrt (+ (exp x) 1)))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 596 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (+ (exp x) 1) 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (87 enodes) * [exit]simplify: Simplified to (/ (/ 1 (+ (exp x) 1)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ 1 (+ (exp x) 1)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (/ (exp x) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp x) 1) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp x) 1) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (107 enodes) * * [misc]simplify: iters left: 1 (157 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (+ (exp x) 1)) (/ (exp x) (- (exp x) 1))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ 1 (+ (exp x) 1)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (* (sqrt (+ (exp x) 1)) (/ (exp x) (- (exp x) 1))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 597 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (+ (sqrt (exp (+ x x))) 1) (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (193 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt (+ 1 (exp x)))) (/ (+ 1 (fabs (exp x))) (cbrt (sqrt (+ 1 (exp x)))))) (sqrt (/ 1 (sqrt (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (cbrt (sqrt (+ 1 (exp x)))) (/ (+ 1 (fabs (exp x))) (cbrt (sqrt (+ 1 (exp x)))))) (sqrt (/ 1 (sqrt (+ 1 (exp x)))))) (/ (/ (exp x) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (sqrt (exp (+ x x))) 1) (cbrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (sqrt (exp (+ x x))) 1) (cbrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (127 enodes) * [exit]simplify: Simplified to (/ (* (/ (exp x) (- (fabs (exp x)) 1)) (cbrt (sqrt (+ (exp x) 1)))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (cbrt (sqrt (+ 1 (exp x)))) (/ (+ 1 (fabs (exp x))) (cbrt (sqrt (+ 1 (exp x)))))) (sqrt (/ 1 (sqrt (+ 1 (exp x)))))) (/ (* (/ (exp x) (- (fabs (exp x)) 1)) (cbrt (sqrt (+ (exp x) 1)))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 598 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (+ (sqrt (exp (+ x x))) 1) (sqrt (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (153 enodes) * [exit]simplify: Simplified to (/ (/ (fabs (cbrt (+ 1 (exp x)))) (+ 1 (fabs (exp x)))) (sqrt (/ 1 (sqrt (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (fabs (cbrt (+ 1 (exp x)))) (+ 1 (fabs (exp x)))) (sqrt (/ 1 (sqrt (+ 1 (exp x)))))) (/ (/ (exp x) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (cbrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (cbrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (127 enodes) * [exit]simplify: Simplified to (/ (* (/ (exp x) (- (fabs (exp x)) 1)) (sqrt (cbrt (+ (exp x) 1)))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (fabs (cbrt (+ 1 (exp x)))) (+ 1 (fabs (exp x)))) (sqrt (/ 1 (sqrt (+ 1 (exp x)))))) (/ (* (/ (exp x) (- (fabs (exp x)) 1)) (sqrt (cbrt (+ (exp x) 1)))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 599 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (+ (sqrt (exp (+ x x))) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (77 enodes) * * [misc]simplify: iters left: 1 (162 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (+ 1 (exp x)))) (+ 1 (fabs (exp x)))) (sqrt (/ 1 (sqrt (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (sqrt (sqrt (+ 1 (exp x)))) (+ 1 (fabs (exp x)))) (sqrt (/ 1 (sqrt (+ 1 (exp x)))))) (/ (/ (exp x) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (127 enodes) * [exit]simplify: Simplified to (/ (* (/ (exp x) (- (fabs (exp x)) 1)) (sqrt (sqrt (+ (exp x) 1)))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (sqrt (+ 1 (exp x)))) (+ 1 (fabs (exp x)))) (sqrt (/ 1 (sqrt (+ 1 (exp x)))))) (/ (* (/ (exp x) (- (fabs (exp x)) 1)) (sqrt (sqrt (+ (exp x) 1)))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 600 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (+ (sqrt (exp (+ x x))) 1) (sqrt 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (161 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt 1) (+ 1 (fabs (exp x)))) (sqrt (/ 1 (sqrt (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (sqrt 1) (+ 1 (fabs (exp x)))) (sqrt (/ 1 (sqrt (+ 1 (exp x)))))) (/ (/ (exp x) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (128 enodes) * [exit]simplify: Simplified to (/ (/ (exp x) (/ (- (fabs (exp x)) 1) (sqrt (+ (exp x) 1)))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt 1) (+ 1 (fabs (exp x)))) (sqrt (/ 1 (sqrt (+ 1 (exp x)))))) (/ (/ (exp x) (/ (- (fabs (exp x)) 1) (sqrt (+ (exp x) 1)))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 601 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (+ (sqrt (exp (+ x x))) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (77 enodes) * * [misc]simplify: iters left: 1 (162 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (+ 1 (exp x)))) (+ 1 (fabs (exp x)))) (sqrt (/ 1 (sqrt (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (sqrt (sqrt (+ 1 (exp x)))) (+ 1 (fabs (exp x)))) (sqrt (/ 1 (sqrt (+ 1 (exp x)))))) (/ (/ (exp x) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (127 enodes) * [exit]simplify: Simplified to (/ (* (/ (exp x) (- (fabs (exp x)) 1)) (sqrt (sqrt (+ (exp x) 1)))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (sqrt (+ 1 (exp x)))) (+ 1 (fabs (exp x)))) (sqrt (/ 1 (sqrt (+ 1 (exp x)))))) (/ (* (/ (exp x) (- (fabs (exp x)) 1)) (sqrt (sqrt (+ (exp x) 1)))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 602 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (+ (sqrt (exp (+ x x))) 1) 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (94 enodes) * [exit]simplify: Simplified to (/ (/ 1 (+ 1 (fabs (exp x)))) (sqrt (/ 1 (sqrt (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ 1 (+ 1 (fabs (exp x)))) (sqrt (/ 1 (sqrt (+ 1 (exp x)))))) (/ (/ (exp x) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (128 enodes) * [exit]simplify: Simplified to (/ (/ (exp x) (/ (- (fabs (exp x)) 1) (sqrt (+ (exp x) 1)))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ 1 (+ 1 (fabs (exp x)))) (sqrt (/ 1 (sqrt (+ 1 (exp x)))))) (/ (/ (exp x) (/ (- (fabs (exp x)) 1) (sqrt (+ (exp x) 1)))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 603 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (/ 1 (sqrt (+ (exp x) 1))))) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (/ 1 (sqrt (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ 1 (sqrt (/ 1 (sqrt (+ 1 (exp x)))))) (/ (/ (exp x) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (201 enodes) * * [misc]simplify: iters left: 1 (451 enodes) * [exit]simplify: Simplified to (/ (* (exp x) (/ (sqrt (+ (exp x) 1)) (- (* (exp x) (exp x)) 1))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ 1 (sqrt (/ 1 (sqrt (+ 1 (exp x)))))) (/ (* (exp x) (/ (sqrt (+ (exp x) 1)) (- (* (exp x) (exp x)) 1))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 604 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (- (exp (+ x x)) 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * * [misc]simplify: iters left: 1 (249 enodes) * [exit]simplify: Simplified to (/ (/ 1 (- (exp (+ x x)) 1)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ 1 (- (exp (+ x x)) 1)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (/ (exp x) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ 1 (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ 1 (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (143 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (+ (exp x) 1)) (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ 1 (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (- (exp (+ x x)) 1)) (/ (* (sqrt (+ (exp x) 1)) (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 605 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp (+ x x)) 1) (sqrt (+ (pow 1 3) (pow (exp x) 3))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (197 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ 1 (pow (exp x) 3))) (- (exp (+ x x)) 1)) (sqrt (/ 1 (sqrt (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (sqrt (+ 1 (pow (exp x) 3))) (- (exp (+ x x)) 1)) (sqrt (/ 1 (sqrt (+ 1 (exp x)))))) (/ (/ (exp x) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (sqrt (+ (* 1 1) (- (* (exp x) (exp x)) (* 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (sqrt (+ (* 1 1) (- (* (exp x) (exp x)) (* 1 (exp x)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (117 enodes) * * [misc]simplify: iters left: 2 (194 enodes) * * [misc]simplify: iters left: 1 (292 enodes) * [exit]simplify: Simplified to (/ (/ (exp x) (sqrt (- (* (exp x) (exp x)) (- (exp x) 1)))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (+ 1 (pow (exp x) 3))) (- (exp (+ x x)) 1)) (sqrt (/ 1 (sqrt (+ 1 (exp x)))))) (/ (/ (exp x) (sqrt (- (* (exp x) (exp x)) (- (exp x) 1)))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 606 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp (+ x x)) 1) (sqrt (- (* 1 1) (* (exp x) (exp x)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (192 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- 1 (exp (+ x x)))) (- (exp (+ x x)) 1)) (sqrt (/ 1 (sqrt (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (sqrt (- 1 (exp (+ x x)))) (- (exp (+ x x)) 1)) (sqrt (/ 1 (sqrt (+ 1 (exp x)))))) (/ (/ (exp x) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (sqrt (- 1 (exp x)))))) * [enter]simplify: Simplifying (/ (/ (exp x) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (sqrt (- 1 (exp x)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (/ (exp x) (sqrt (- 1 (exp x)))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (- 1 (exp (+ x x)))) (- (exp (+ x x)) 1)) (sqrt (/ 1 (sqrt (+ 1 (exp x)))))) (/ (/ (exp x) (sqrt (- 1 (exp x)))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 607 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (* (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))) (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (98 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))) (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ 1 (* (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))) (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))))) (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (166 enodes) * [exit]simplify: Simplified to (/ (* (exp x) (sqrt (+ (exp x) 1))) (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ 1 (* (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))) (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))))) (/ (* (exp x) (sqrt (+ (exp x) 1))) (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 608 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (95 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (/ (- (exp (+ x x)) 1) (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ 1 (sqrt (/ (- (exp (+ x x)) 1) (sqrt (+ (exp x) 1))))) (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (sqrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (sqrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (166 enodes) * [exit]simplify: Simplified to (/ (* (exp x) (sqrt (+ (exp x) 1))) (sqrt (/ (- (exp (+ x x)) 1) (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ 1 (sqrt (/ (- (exp (+ x x)) 1) (sqrt (+ (exp x) 1))))) (/ (* (exp x) (sqrt (+ (exp x) 1))) (sqrt (/ (- (exp (+ x x)) 1) (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 609 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (179 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 (exp x)))) (cbrt (- (* (exp x) (exp x)) 1))) (/ (cbrt (sqrt (+ 1 (exp x)))) (cbrt (- (* (exp x) (exp x)) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (cbrt (sqrt (+ 1 (exp x)))) (cbrt (- (* (exp x) (exp x)) 1))) (/ (cbrt (sqrt (+ 1 (exp x)))) (cbrt (- (* (exp x) (exp x)) 1)))) (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (cbrt (- (exp (+ x x)) 1)) (cbrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (cbrt (- (exp (+ x x)) 1)) (cbrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (212 enodes) * * [misc]simplify: iters left: 1 (490 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ (exp x) 1))) (cbrt (- (exp (+ x x)) 1))) (* (sqrt (+ (exp x) 1)) (exp x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (cbrt (sqrt (+ 1 (exp x)))) (cbrt (- (* (exp x) (exp x)) 1))) (/ (cbrt (sqrt (+ 1 (exp x)))) (cbrt (- (* (exp x) (exp x)) 1)))) (* (/ (cbrt (sqrt (+ (exp x) 1))) (cbrt (- (exp (+ x x)) 1))) (* (sqrt (+ (exp x) 1)) (exp x))))) * * * * [misc]progress: [ 610 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (sqrt (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (147 enodes) * [exit]simplify: Simplified to (/ (/ (fabs (cbrt (+ 1 (exp x)))) (cbrt (- (* (exp x) (exp x)) 1))) (cbrt (- (* (exp x) (exp x)) 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (fabs (cbrt (+ 1 (exp x)))) (cbrt (- (* (exp x) (exp x)) 1))) (cbrt (- (* (exp x) (exp x)) 1))) (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (cbrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (cbrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (225 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (+ (exp x) 1)) (cbrt (- (exp (+ x x)) 1))) (* (sqrt (cbrt (+ (exp x) 1))) (exp x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (fabs (cbrt (+ 1 (exp x)))) (cbrt (- (* (exp x) (exp x)) 1))) (cbrt (- (* (exp x) (exp x)) 1))) (* (/ (sqrt (+ (exp x) 1)) (cbrt (- (exp (+ x x)) 1))) (* (sqrt (cbrt (+ (exp x) 1))) (exp x))))) * * * * [misc]progress: [ 611 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (252 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (+ 1 (exp x)))) (cbrt (- (* (exp x) (exp x)) 1))) (cbrt (- (* (exp x) (exp x)) 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (sqrt (sqrt (+ 1 (exp x)))) (cbrt (- (* (exp x) (exp x)) 1))) (cbrt (- (* (exp x) (exp x)) 1))) (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (212 enodes) * * [misc]simplify: iters left: 1 (490 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ (exp x) 1))) (cbrt (- (exp (+ x x)) 1))) (* (sqrt (+ (exp x) 1)) (exp x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (sqrt (+ 1 (exp x)))) (cbrt (- (* (exp x) (exp x)) 1))) (cbrt (- (* (exp x) (exp x)) 1))) (* (/ (sqrt (sqrt (+ (exp x) 1))) (cbrt (- (exp (+ x x)) 1))) (* (sqrt (+ (exp x) 1)) (exp x))))) * * * * [misc]progress: [ 612 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (sqrt 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (114 enodes) * * [misc]simplify: iters left: 1 (239 enodes) * [exit]simplify: Simplified to (/ (sqrt 1) (* (cbrt (- (* (exp x) (exp x)) 1)) (cbrt (- (* (exp x) (exp x)) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt 1) (* (cbrt (- (* (exp x) (exp x)) 1)) (cbrt (- (* (exp x) (exp x)) 1)))) (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (162 enodes) * * [misc]simplify: iters left: 1 (324 enodes) * [exit]simplify: Simplified to (/ (* (+ (exp x) 1) (exp x)) (cbrt (- (exp (+ x x)) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt 1) (* (cbrt (- (* (exp x) (exp x)) 1)) (cbrt (- (* (exp x) (exp x)) 1)))) (/ (* (+ (exp x) 1) (exp x)) (cbrt (- (exp (+ x x)) 1))))) * * * * [misc]progress: [ 613 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (252 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (+ 1 (exp x)))) (cbrt (- (* (exp x) (exp x)) 1))) (cbrt (- (* (exp x) (exp x)) 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (sqrt (sqrt (+ 1 (exp x)))) (cbrt (- (* (exp x) (exp x)) 1))) (cbrt (- (* (exp x) (exp x)) 1))) (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (212 enodes) * * [misc]simplify: iters left: 1 (490 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ (exp x) 1))) (cbrt (- (exp (+ x x)) 1))) (* (sqrt (+ (exp x) 1)) (exp x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (sqrt (+ 1 (exp x)))) (cbrt (- (* (exp x) (exp x)) 1))) (cbrt (- (* (exp x) (exp x)) 1))) (* (/ (sqrt (sqrt (+ (exp x) 1))) (cbrt (- (exp (+ x x)) 1))) (* (sqrt (+ (exp x) 1)) (exp x))))) * * * * [misc]progress: [ 614 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: iters left: 1 (105 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (- (exp (+ x x)) 1))) (cbrt (- (exp (+ x x)) 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ 1 (cbrt (- (exp (+ x x)) 1))) (cbrt (- (exp (+ x x)) 1))) (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (162 enodes) * * [misc]simplify: iters left: 1 (324 enodes) * [exit]simplify: Simplified to (/ (* (+ (exp x) 1) (exp x)) (cbrt (- (exp (+ x x)) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ 1 (cbrt (- (exp (+ x x)) 1))) (cbrt (- (exp (+ x x)) 1))) (/ (* (+ (exp x) 1) (exp x)) (cbrt (- (exp (+ x x)) 1))))) * * * * [misc]progress: [ 615 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (/ (sqrt (- (exp (+ x x)) 1)) (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (138 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (+ 1 (exp x)))) (/ (sqrt (- (* (exp x) (exp x)) 1)) (cbrt (sqrt (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (cbrt (sqrt (+ 1 (exp x)))) (/ (sqrt (- (* (exp x) (exp x)) 1)) (cbrt (sqrt (+ 1 (exp x)))))) (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (sqrt (- (exp (+ x x)) 1)) (cbrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (sqrt (- (exp (+ x x)) 1)) (cbrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (212 enodes) * * [misc]simplify: iters left: 1 (490 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ (exp x) 1))) (sqrt (- (exp (+ x x)) 1))) (* (sqrt (+ (exp x) 1)) (exp x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (cbrt (sqrt (+ 1 (exp x)))) (/ (sqrt (- (* (exp x) (exp x)) 1)) (cbrt (sqrt (+ 1 (exp x)))))) (* (/ (cbrt (sqrt (+ (exp x) 1))) (sqrt (- (exp (+ x x)) 1))) (* (sqrt (+ (exp x) 1)) (exp x))))) * * * * [misc]progress: [ 616 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (95 enodes) * [exit]simplify: Simplified to (/ (fabs (cbrt (+ (exp x) 1))) (sqrt (- (* (exp x) (exp x)) 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (fabs (cbrt (+ (exp x) 1))) (sqrt (- (* (exp x) (exp x)) 1))) (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (cbrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (cbrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (225 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (+ (exp x) 1)) (sqrt (- (exp (+ x x)) 1))) (* (sqrt (cbrt (+ (exp x) 1))) (exp x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (fabs (cbrt (+ (exp x) 1))) (sqrt (- (* (exp x) (exp x)) 1))) (* (/ (sqrt (+ (exp x) 1)) (sqrt (- (exp (+ x x)) 1))) (* (sqrt (cbrt (+ (exp x) 1))) (exp x))))) * * * * [misc]progress: [ 617 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (107 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ (exp x) 1))) (sqrt (- (* (exp x) (exp x)) 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (sqrt (+ (exp x) 1))) (sqrt (- (* (exp x) (exp x)) 1))) (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (212 enodes) * * [misc]simplify: iters left: 1 (490 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ (exp x) 1))) (sqrt (- (exp (+ x x)) 1))) (* (sqrt (+ (exp x) 1)) (exp x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (sqrt (+ (exp x) 1))) (sqrt (- (* (exp x) (exp x)) 1))) (* (/ (sqrt (sqrt (+ (exp x) 1))) (sqrt (- (exp (+ x x)) 1))) (* (sqrt (+ (exp x) 1)) (exp x))))) * * * * [misc]progress: [ 618 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (106 enodes) * [exit]simplify: Simplified to (/ (sqrt 1) (sqrt (- (exp (+ x x)) 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt 1) (sqrt (- (exp (+ x x)) 1))) (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (162 enodes) * * [misc]simplify: iters left: 1 (324 enodes) * [exit]simplify: Simplified to (/ (* (+ (exp x) 1) (exp x)) (sqrt (- (exp (+ x x)) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt 1) (sqrt (- (exp (+ x x)) 1))) (/ (* (+ (exp x) 1) (exp x)) (sqrt (- (exp (+ x x)) 1))))) * * * * [misc]progress: [ 619 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (107 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ (exp x) 1))) (sqrt (- (* (exp x) (exp x)) 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (sqrt (+ (exp x) 1))) (sqrt (- (* (exp x) (exp x)) 1))) (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (212 enodes) * * [misc]simplify: iters left: 1 (490 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ (exp x) 1))) (sqrt (- (exp (+ x x)) 1))) (* (sqrt (+ (exp x) 1)) (exp x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (sqrt (+ (exp x) 1))) (sqrt (- (* (exp x) (exp x)) 1))) (* (/ (sqrt (sqrt (+ (exp x) 1))) (sqrt (- (exp (+ x x)) 1))) (* (sqrt (+ (exp x) 1)) (exp x))))) * * * * [misc]progress: [ 620 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (/ (sqrt (- (exp (+ x 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 (30 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (- (* (exp x) (exp x)) 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ 1 (sqrt (- (* (exp x) (exp x)) 1))) (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (162 enodes) * * [misc]simplify: iters left: 1 (324 enodes) * [exit]simplify: Simplified to (/ (* (+ (exp x) 1) (exp x)) (sqrt (- (exp (+ x x)) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ 1 (sqrt (- (* (exp x) (exp x)) 1))) (/ (* (+ (exp x) 1) (exp x)) (sqrt (- (exp (+ x x)) 1))))) * * * * [misc]progress: [ 621 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (/ 1 (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ (exp x) 1))) (cbrt (sqrt (+ (exp x) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (cbrt (sqrt (+ (exp x) 1))) (cbrt (sqrt (+ (exp x) 1)))) (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp (+ x x)) 1) (cbrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp (+ x x)) 1) (cbrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (149 enodes) * * [misc]simplify: iters left: 2 (415 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (+ 1 (exp x))) (+ 1 (exp x))) (* (cbrt (sqrt (+ 1 (exp x)))) (/ (exp x) (- (exp x) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (cbrt (sqrt (+ (exp x) 1))) (cbrt (sqrt (+ (exp x) 1)))) (* (/ (sqrt (+ 1 (exp x))) (+ 1 (exp x))) (* (cbrt (sqrt (+ 1 (exp x)))) (/ (exp x) (- (exp x) 1)))))) * * * * [misc]progress: [ 622 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (/ 1 (sqrt (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (fabs (cbrt (+ (exp x) 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (fabs (cbrt (+ (exp x) 1))) (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp (+ x x)) 1) (sqrt (cbrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp (+ x x)) 1) (sqrt (cbrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (148 enodes) * * [misc]simplify: iters left: 2 (426 enodes) * [exit]simplify: Simplified to (* (* (sqrt (cbrt (+ 1 (exp x)))) (sqrt (+ 1 (exp x)))) (/ (/ (exp x) (- (exp x) 1)) (+ 1 (exp x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (fabs (cbrt (+ (exp x) 1))) (* (* (sqrt (cbrt (+ 1 (exp x)))) (sqrt (+ 1 (exp x)))) (/ (/ (exp x) (- (exp x) 1)) (+ 1 (exp x)))))) * * * * [misc]progress: [ 623 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (/ 1 (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ (exp x) 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (sqrt (sqrt (+ (exp x) 1))) (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp (+ x x)) 1) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp (+ x x)) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (149 enodes) * * [misc]simplify: iters left: 2 (415 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (+ 1 (exp x))) (+ 1 (exp x))) (* (sqrt (sqrt (+ 1 (exp x)))) (/ (exp x) (- (exp x) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (sqrt (sqrt (+ (exp x) 1))) (* (/ (sqrt (+ 1 (exp x))) (+ 1 (exp x))) (* (sqrt (sqrt (+ 1 (exp x)))) (/ (exp x) (- (exp x) 1)))))) * * * * [misc]progress: [ 624 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (/ 1 (sqrt 1))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * [exit]simplify: Simplified to (sqrt 1) * [misc]simplify: Simplified (2 1) to (λ (x) (* (sqrt 1) (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (124 enodes) * * [misc]simplify: iters left: 2 (301 enodes) * [exit]simplify: Simplified to (* 1 (/ (exp x) (- (exp x) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (sqrt 1) (* 1 (/ (exp x) (- (exp x) 1))))) * * * * [misc]progress: [ 625 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (/ 1 (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ (exp x) 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (sqrt (sqrt (+ (exp x) 1))) (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp (+ x x)) 1) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp (+ x x)) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (149 enodes) * * [misc]simplify: iters left: 2 (415 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (+ 1 (exp x))) (+ 1 (exp x))) (* (sqrt (sqrt (+ 1 (exp x)))) (/ (exp x) (- (exp x) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (sqrt (sqrt (+ (exp x) 1))) (* (/ (sqrt (+ 1 (exp x))) (+ 1 (exp x))) (* (sqrt (sqrt (+ 1 (exp x)))) (/ (exp x) (- (exp x) 1)))))) * * * * [misc]progress: [ 626 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (/ 1 1)) * * [misc]simplify: iters left: 4 (3 enodes) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (x) (* 1 (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (124 enodes) * * [misc]simplify: iters left: 2 (301 enodes) * [exit]simplify: Simplified to (* 1 (/ (exp x) (- (exp x) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* 1 (* 1 (/ (exp x) (- (exp x) 1))))) * * * * [misc]progress: [ 627 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (/ (+ (exp x) 1) (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (+ (exp x) 1))) (cbrt (sqrt (+ (exp x) 1)))) (+ (exp x) 1)) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (cbrt (sqrt (+ (exp x) 1))) (cbrt (sqrt (+ (exp x) 1)))) (+ (exp x) 1)) (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp x) 1) (cbrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp x) 1) (cbrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (120 enodes) * * [misc]simplify: iters left: 2 (293 enodes) * [exit]simplify: Simplified to (* (* (/ (exp x) (- (exp x) 1)) (sqrt (+ (exp x) 1))) (cbrt (sqrt (+ (exp x) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (cbrt (sqrt (+ (exp x) 1))) (cbrt (sqrt (+ (exp x) 1)))) (+ (exp x) 1)) (* (* (/ (exp x) (- (exp x) 1)) (sqrt (+ (exp x) 1))) (cbrt (sqrt (+ (exp x) 1)))))) * * * * [misc]progress: [ 628 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (/ (+ (exp x) 1) (sqrt (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (/ (fabs (cbrt (+ (exp x) 1))) (+ (exp x) 1)) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (fabs (cbrt (+ (exp x) 1))) (+ (exp x) 1)) (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp x) 1) (sqrt (cbrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp x) 1) (sqrt (cbrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (117 enodes) * * [misc]simplify: iters left: 2 (289 enodes) * [exit]simplify: Simplified to (* (* (/ (exp x) (- (exp x) 1)) (sqrt (+ (exp x) 1))) (sqrt (cbrt (+ (exp x) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (fabs (cbrt (+ (exp x) 1))) (+ (exp x) 1)) (* (* (/ (exp x) (- (exp x) 1)) (sqrt (+ (exp x) 1))) (sqrt (cbrt (+ (exp x) 1)))))) * * * * [misc]progress: [ 629 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (/ (+ (exp x) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ (exp x) 1))) (+ (exp x) 1)) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (sqrt (+ (exp x) 1))) (+ (exp x) 1)) (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp x) 1) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp x) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (120 enodes) * * [misc]simplify: iters left: 2 (293 enodes) * [exit]simplify: Simplified to (* (* (/ (exp x) (- (exp x) 1)) (sqrt (+ (exp x) 1))) (sqrt (sqrt (+ (exp x) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (sqrt (+ (exp x) 1))) (+ (exp x) 1)) (* (* (/ (exp x) (- (exp x) 1)) (sqrt (+ (exp x) 1))) (sqrt (sqrt (+ (exp x) 1)))))) * * * * [misc]progress: [ 630 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (/ (+ (exp x) 1) (sqrt 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (/ (sqrt 1) (+ (exp x) 1)) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt 1) (+ (exp x) 1)) (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp x) 1) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp x) 1) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (119 enodes) * * [misc]simplify: iters left: 2 (247 enodes) * [exit]simplify: Simplified to (* (+ 1 (exp x)) (/ (exp x) (- (exp x) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt 1) (+ (exp x) 1)) (* (+ 1 (exp x)) (/ (exp x) (- (exp x) 1))))) * * * * [misc]progress: [ 631 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (/ (+ (exp x) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ (exp x) 1))) (+ (exp x) 1)) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (sqrt (+ (exp x) 1))) (+ (exp x) 1)) (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp x) 1) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp x) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (120 enodes) * * [misc]simplify: iters left: 2 (293 enodes) * [exit]simplify: Simplified to (* (* (/ (exp x) (- (exp x) 1)) (sqrt (+ (exp x) 1))) (sqrt (sqrt (+ (exp x) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (sqrt (+ (exp x) 1))) (+ (exp x) 1)) (* (* (/ (exp x) (- (exp x) 1)) (sqrt (+ (exp x) 1))) (sqrt (sqrt (+ (exp x) 1)))))) * * * * [misc]progress: [ 632 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (/ (+ (exp x) 1) 1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ 1 (+ (exp x) 1)) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ 1 (+ (exp x) 1)) (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp x) 1) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp x) 1) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (119 enodes) * * [misc]simplify: iters left: 2 (247 enodes) * [exit]simplify: Simplified to (* (+ 1 (exp x)) (/ (exp x) (- (exp x) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ 1 (+ (exp x) 1)) (* (+ 1 (exp x)) (/ (exp x) (- (exp x) 1))))) * * * * [misc]progress: [ 633 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (/ (+ (sqrt (exp (+ x x))) 1) (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (90 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ 1 (exp x)))) (/ (cbrt (sqrt (+ 1 (exp x)))) (+ (fabs (exp x)) 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (cbrt (sqrt (+ 1 (exp x)))) (/ (cbrt (sqrt (+ 1 (exp x)))) (+ (fabs (exp x)) 1))) (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (sqrt (exp (+ x x))) 1) (cbrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (sqrt (exp (+ x x))) 1) (cbrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (121 enodes) * * [misc]simplify: iters left: 2 (233 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (+ (exp x) 1))) (* (sqrt (+ (exp x) 1)) (exp x))) (- (fabs (exp x)) 1)) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (cbrt (sqrt (+ 1 (exp x)))) (/ (cbrt (sqrt (+ 1 (exp x)))) (+ (fabs (exp x)) 1))) (/ (* (cbrt (sqrt (+ (exp x) 1))) (* (sqrt (+ (exp x) 1)) (exp x))) (- (fabs (exp x)) 1)))) * * * * [misc]progress: [ 634 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (/ (+ (sqrt (exp (+ x x))) 1) (sqrt (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (/ (fabs (cbrt (+ 1 (exp x)))) (+ (fabs (exp x)) 1)) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (fabs (cbrt (+ 1 (exp x)))) (+ (fabs (exp x)) 1)) (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (cbrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (cbrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (121 enodes) * * [misc]simplify: iters left: 2 (273 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (exp x) 1)) (/ (/ (- (fabs (exp x)) 1) (exp x)) (sqrt (cbrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (fabs (cbrt (+ 1 (exp x)))) (+ (fabs (exp x)) 1)) (/ (sqrt (+ (exp x) 1)) (/ (/ (- (fabs (exp x)) 1) (exp x)) (sqrt (cbrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 635 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (/ (+ (sqrt (exp (+ x x))) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 (exp x)))) (+ (fabs (exp x)) 1)) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (sqrt (+ 1 (exp x)))) (+ (fabs (exp x)) 1)) (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (121 enodes) * * [misc]simplify: iters left: 2 (233 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (sqrt (+ (exp x) 1))) (* (sqrt (+ (exp x) 1)) (exp x))) (- (fabs (exp x)) 1)) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (sqrt (+ 1 (exp x)))) (+ (fabs (exp x)) 1)) (/ (* (sqrt (sqrt (+ (exp x) 1))) (* (sqrt (+ (exp x) 1)) (exp x))) (- (fabs (exp x)) 1)))) * * * * [misc]progress: [ 636 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (/ (+ (sqrt (exp (+ x x))) 1) (sqrt 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (/ (sqrt 1) (+ (fabs (exp x)) 1)) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt 1) (+ (fabs (exp x)) 1)) (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (124 enodes) * * [misc]simplify: iters left: 2 (252 enodes) * [exit]simplify: Simplified to (/ (* (exp x) (+ 1 (exp x))) (- (fabs (exp x)) 1)) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt 1) (+ (fabs (exp x)) 1)) (/ (* (exp x) (+ 1 (exp x))) (- (fabs (exp x)) 1)))) * * * * [misc]progress: [ 637 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (/ (+ (sqrt (exp (+ x x))) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 (exp x)))) (+ (fabs (exp x)) 1)) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (sqrt (+ 1 (exp x)))) (+ (fabs (exp x)) 1)) (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (121 enodes) * * [misc]simplify: iters left: 2 (233 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (sqrt (+ (exp x) 1))) (* (sqrt (+ (exp x) 1)) (exp x))) (- (fabs (exp x)) 1)) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (sqrt (+ 1 (exp x)))) (+ (fabs (exp x)) 1)) (/ (* (sqrt (sqrt (+ (exp x) 1))) (* (sqrt (+ (exp x) 1)) (exp x))) (- (fabs (exp x)) 1)))) * * * * [misc]progress: [ 638 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (/ (+ (sqrt (exp (+ x x))) 1) 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ 1 (+ (fabs (exp x)) 1)) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ 1 (+ (fabs (exp x)) 1)) (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (124 enodes) * * [misc]simplify: iters left: 2 (252 enodes) * [exit]simplify: Simplified to (/ (* (exp x) (+ 1 (exp x))) (- (fabs (exp x)) 1)) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ 1 (+ (fabs (exp x)) 1)) (/ (* (exp x) (+ 1 (exp x))) (- (fabs (exp x)) 1)))) * * * * [misc]progress: [ 639 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) 1) * * [misc]simplify: iters left: 4 (3 enodes) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (x) (* 1 (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (124 enodes) * * [misc]simplify: iters left: 2 (301 enodes) * [exit]simplify: Simplified to (* 1 (/ (exp x) (- (exp x) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* 1 (* 1 (/ (exp x) (- (exp x) 1))))) * * * * [misc]progress: [ 640 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (- (exp (+ x x)) 1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (64 enodes) * [exit]simplify: Simplified to (/ 1 (- (* (exp x) (exp x)) 1)) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ 1 (- (* (exp x) (exp x)) 1)) (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ 1 (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ 1 (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (97 enodes) * [exit]simplify: Simplified to (+ (exp x) (* (exp x) (exp x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ 1 (- (* (exp x) (exp x)) 1)) (+ (exp x) (* (exp x) (exp x))))) * * * * [misc]progress: [ 641 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (/ (- (exp (+ x x)) 1) (sqrt (+ (pow 1 3) (pow (exp x) 3))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (135 enodes) * * [misc]simplify: iters left: 1 (290 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (pow (exp x) 3) 1)) (- (exp (+ x x)) 1)) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (+ (pow (exp x) 3) 1)) (- (exp (+ x x)) 1)) (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (sqrt (+ (* 1 1) (- (* (exp x) (exp x)) (* 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (sqrt (+ (* 1 1) (- (* (exp x) (exp x)) (* 1 (exp x)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (169 enodes) * * [misc]simplify: iters left: 2 (340 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (+ (exp x) 1)) (exp x)) (sqrt (- (exp (+ x x)) (- (exp x) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (+ (pow (exp x) 3) 1)) (- (exp (+ x x)) 1)) (/ (* (sqrt (+ (exp x) 1)) (exp x)) (sqrt (- (exp (+ x x)) (- (exp x) 1)))))) * * * * [misc]progress: [ 642 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (/ (- (exp (+ x x)) 1) (sqrt (- (* 1 1) (* (exp x) (exp x)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (129 enodes) * * [misc]simplify: iters left: 1 (283 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 (exp (+ x x)))) (- (exp (+ x x)) 1)) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (- 1 (exp (+ x x)))) (- (exp (+ x x)) 1)) (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (sqrt (- 1 (exp x)))))) * [enter]simplify: Simplifying (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (sqrt (- 1 (exp x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (158 enodes) * [exit]simplify: Simplified to (/ (exp x) (/ (sqrt (- 1 (exp x))) (sqrt (+ (exp x) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (- 1 (exp (+ x x)))) (- (exp (+ x x)) 1)) (/ (exp x) (/ (sqrt (- 1 (exp x))) (sqrt (+ (exp x) 1)))))) * * * * [misc]progress: [ 643 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (* (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))) (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (98 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))) (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ 1 (* (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))) (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))))) (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (166 enodes) * [exit]simplify: Simplified to (/ (* (exp x) (sqrt (+ (exp x) 1))) (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ 1 (* (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))) (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))))) (/ (* (exp x) (sqrt (+ (exp x) 1))) (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 644 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (95 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (/ (- (exp (+ x x)) 1) (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ 1 (sqrt (/ (- (exp (+ x x)) 1) (sqrt (+ (exp x) 1))))) (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (sqrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (sqrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (166 enodes) * [exit]simplify: Simplified to (/ (* (exp x) (sqrt (+ (exp x) 1))) (sqrt (/ (- (exp (+ x x)) 1) (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ 1 (sqrt (/ (- (exp (+ x x)) 1) (sqrt (+ (exp x) 1))))) (/ (* (exp x) (sqrt (+ (exp x) 1))) (sqrt (/ (- (exp (+ x x)) 1) (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 645 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (179 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 (exp x)))) (cbrt (- (* (exp x) (exp x)) 1))) (/ (cbrt (sqrt (+ 1 (exp x)))) (cbrt (- (* (exp x) (exp x)) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (cbrt (sqrt (+ 1 (exp x)))) (cbrt (- (* (exp x) (exp x)) 1))) (/ (cbrt (sqrt (+ 1 (exp x)))) (cbrt (- (* (exp x) (exp x)) 1)))) (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (cbrt (- (exp (+ x x)) 1)) (cbrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (cbrt (- (exp (+ x x)) 1)) (cbrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (212 enodes) * * [misc]simplify: iters left: 1 (490 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ (exp x) 1))) (cbrt (- (exp (+ x x)) 1))) (* (sqrt (+ (exp x) 1)) (exp x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (cbrt (sqrt (+ 1 (exp x)))) (cbrt (- (* (exp x) (exp x)) 1))) (/ (cbrt (sqrt (+ 1 (exp x)))) (cbrt (- (* (exp x) (exp x)) 1)))) (* (/ (cbrt (sqrt (+ (exp x) 1))) (cbrt (- (exp (+ x x)) 1))) (* (sqrt (+ (exp x) 1)) (exp x))))) * * * * [misc]progress: [ 646 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (sqrt (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (147 enodes) * [exit]simplify: Simplified to (/ (/ (fabs (cbrt (+ 1 (exp x)))) (cbrt (- (* (exp x) (exp x)) 1))) (cbrt (- (* (exp x) (exp x)) 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (fabs (cbrt (+ 1 (exp x)))) (cbrt (- (* (exp x) (exp x)) 1))) (cbrt (- (* (exp x) (exp x)) 1))) (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (cbrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (cbrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (225 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (+ (exp x) 1)) (cbrt (- (exp (+ x x)) 1))) (* (sqrt (cbrt (+ (exp x) 1))) (exp x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (fabs (cbrt (+ 1 (exp x)))) (cbrt (- (* (exp x) (exp x)) 1))) (cbrt (- (* (exp x) (exp x)) 1))) (* (/ (sqrt (+ (exp x) 1)) (cbrt (- (exp (+ x x)) 1))) (* (sqrt (cbrt (+ (exp x) 1))) (exp x))))) * * * * [misc]progress: [ 647 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (252 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (+ 1 (exp x)))) (cbrt (- (* (exp x) (exp x)) 1))) (cbrt (- (* (exp x) (exp x)) 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (sqrt (sqrt (+ 1 (exp x)))) (cbrt (- (* (exp x) (exp x)) 1))) (cbrt (- (* (exp x) (exp x)) 1))) (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (212 enodes) * * [misc]simplify: iters left: 1 (490 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ (exp x) 1))) (cbrt (- (exp (+ x x)) 1))) (* (sqrt (+ (exp x) 1)) (exp x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (sqrt (+ 1 (exp x)))) (cbrt (- (* (exp x) (exp x)) 1))) (cbrt (- (* (exp x) (exp x)) 1))) (* (/ (sqrt (sqrt (+ (exp x) 1))) (cbrt (- (exp (+ x x)) 1))) (* (sqrt (+ (exp x) 1)) (exp x))))) * * * * [misc]progress: [ 648 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (sqrt 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (114 enodes) * * [misc]simplify: iters left: 1 (239 enodes) * [exit]simplify: Simplified to (/ (sqrt 1) (* (cbrt (- (* (exp x) (exp x)) 1)) (cbrt (- (* (exp x) (exp x)) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt 1) (* (cbrt (- (* (exp x) (exp x)) 1)) (cbrt (- (* (exp x) (exp x)) 1)))) (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (162 enodes) * * [misc]simplify: iters left: 1 (324 enodes) * [exit]simplify: Simplified to (/ (* (+ (exp x) 1) (exp x)) (cbrt (- (exp (+ x x)) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt 1) (* (cbrt (- (* (exp x) (exp x)) 1)) (cbrt (- (* (exp x) (exp x)) 1)))) (/ (* (+ (exp x) 1) (exp x)) (cbrt (- (exp (+ x x)) 1))))) * * * * [misc]progress: [ 649 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (252 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (+ 1 (exp x)))) (cbrt (- (* (exp x) (exp x)) 1))) (cbrt (- (* (exp x) (exp x)) 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (sqrt (sqrt (+ 1 (exp x)))) (cbrt (- (* (exp x) (exp x)) 1))) (cbrt (- (* (exp x) (exp x)) 1))) (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (212 enodes) * * [misc]simplify: iters left: 1 (490 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ (exp x) 1))) (cbrt (- (exp (+ x x)) 1))) (* (sqrt (+ (exp x) 1)) (exp x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (sqrt (+ 1 (exp x)))) (cbrt (- (* (exp x) (exp x)) 1))) (cbrt (- (* (exp x) (exp x)) 1))) (* (/ (sqrt (sqrt (+ (exp x) 1))) (cbrt (- (exp (+ x x)) 1))) (* (sqrt (+ (exp x) 1)) (exp x))))) * * * * [misc]progress: [ 650 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: iters left: 1 (105 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (- (exp (+ x x)) 1))) (cbrt (- (exp (+ x x)) 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ 1 (cbrt (- (exp (+ x x)) 1))) (cbrt (- (exp (+ x x)) 1))) (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (162 enodes) * * [misc]simplify: iters left: 1 (324 enodes) * [exit]simplify: Simplified to (/ (* (+ (exp x) 1) (exp x)) (cbrt (- (exp (+ x x)) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ 1 (cbrt (- (exp (+ x x)) 1))) (cbrt (- (exp (+ x x)) 1))) (/ (* (+ (exp x) 1) (exp x)) (cbrt (- (exp (+ x x)) 1))))) * * * * [misc]progress: [ 651 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (/ (sqrt (- (exp (+ x x)) 1)) (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (138 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (+ 1 (exp x)))) (/ (sqrt (- (* (exp x) (exp x)) 1)) (cbrt (sqrt (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (cbrt (sqrt (+ 1 (exp x)))) (/ (sqrt (- (* (exp x) (exp x)) 1)) (cbrt (sqrt (+ 1 (exp x)))))) (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (sqrt (- (exp (+ x x)) 1)) (cbrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (sqrt (- (exp (+ x x)) 1)) (cbrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (212 enodes) * * [misc]simplify: iters left: 1 (490 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ (exp x) 1))) (sqrt (- (exp (+ x x)) 1))) (* (sqrt (+ (exp x) 1)) (exp x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (cbrt (sqrt (+ 1 (exp x)))) (/ (sqrt (- (* (exp x) (exp x)) 1)) (cbrt (sqrt (+ 1 (exp x)))))) (* (/ (cbrt (sqrt (+ (exp x) 1))) (sqrt (- (exp (+ x x)) 1))) (* (sqrt (+ (exp x) 1)) (exp x))))) * * * * [misc]progress: [ 652 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (95 enodes) * [exit]simplify: Simplified to (/ (fabs (cbrt (+ (exp x) 1))) (sqrt (- (* (exp x) (exp x)) 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (fabs (cbrt (+ (exp x) 1))) (sqrt (- (* (exp x) (exp x)) 1))) (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (cbrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (cbrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (225 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (+ (exp x) 1)) (sqrt (- (exp (+ x x)) 1))) (* (sqrt (cbrt (+ (exp x) 1))) (exp x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (fabs (cbrt (+ (exp x) 1))) (sqrt (- (* (exp x) (exp x)) 1))) (* (/ (sqrt (+ (exp x) 1)) (sqrt (- (exp (+ x x)) 1))) (* (sqrt (cbrt (+ (exp x) 1))) (exp x))))) * * * * [misc]progress: [ 653 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (107 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ (exp x) 1))) (sqrt (- (* (exp x) (exp x)) 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (sqrt (+ (exp x) 1))) (sqrt (- (* (exp x) (exp x)) 1))) (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (212 enodes) * * [misc]simplify: iters left: 1 (490 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ (exp x) 1))) (sqrt (- (exp (+ x x)) 1))) (* (sqrt (+ (exp x) 1)) (exp x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (sqrt (+ (exp x) 1))) (sqrt (- (* (exp x) (exp x)) 1))) (* (/ (sqrt (sqrt (+ (exp x) 1))) (sqrt (- (exp (+ x x)) 1))) (* (sqrt (+ (exp x) 1)) (exp x))))) * * * * [misc]progress: [ 654 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (106 enodes) * [exit]simplify: Simplified to (/ (sqrt 1) (sqrt (- (exp (+ x x)) 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt 1) (sqrt (- (exp (+ x x)) 1))) (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (162 enodes) * * [misc]simplify: iters left: 1 (324 enodes) * [exit]simplify: Simplified to (/ (* (+ (exp x) 1) (exp x)) (sqrt (- (exp (+ x x)) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt 1) (sqrt (- (exp (+ x x)) 1))) (/ (* (+ (exp x) 1) (exp x)) (sqrt (- (exp (+ x x)) 1))))) * * * * [misc]progress: [ 655 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (107 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ (exp x) 1))) (sqrt (- (* (exp x) (exp x)) 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (sqrt (+ (exp x) 1))) (sqrt (- (* (exp x) (exp x)) 1))) (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (212 enodes) * * [misc]simplify: iters left: 1 (490 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ (exp x) 1))) (sqrt (- (exp (+ x x)) 1))) (* (sqrt (+ (exp x) 1)) (exp x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (sqrt (+ (exp x) 1))) (sqrt (- (* (exp x) (exp x)) 1))) (* (/ (sqrt (sqrt (+ (exp x) 1))) (sqrt (- (exp (+ x x)) 1))) (* (sqrt (+ (exp x) 1)) (exp x))))) * * * * [misc]progress: [ 656 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (/ (sqrt (- (exp (+ x 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 (30 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (- (* (exp x) (exp x)) 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ 1 (sqrt (- (* (exp x) (exp x)) 1))) (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (162 enodes) * * [misc]simplify: iters left: 1 (324 enodes) * [exit]simplify: Simplified to (/ (* (+ (exp x) 1) (exp x)) (sqrt (- (exp (+ x x)) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ 1 (sqrt (- (* (exp x) (exp x)) 1))) (/ (* (+ (exp x) 1) (exp x)) (sqrt (- (exp (+ x x)) 1))))) * * * * [misc]progress: [ 657 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (/ 1 (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ (exp x) 1))) (cbrt (sqrt (+ (exp x) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (cbrt (sqrt (+ (exp x) 1))) (cbrt (sqrt (+ (exp x) 1)))) (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp (+ x x)) 1) (cbrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp (+ x x)) 1) (cbrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (149 enodes) * * [misc]simplify: iters left: 2 (415 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (+ 1 (exp x))) (+ 1 (exp x))) (* (cbrt (sqrt (+ 1 (exp x)))) (/ (exp x) (- (exp x) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (cbrt (sqrt (+ (exp x) 1))) (cbrt (sqrt (+ (exp x) 1)))) (* (/ (sqrt (+ 1 (exp x))) (+ 1 (exp x))) (* (cbrt (sqrt (+ 1 (exp x)))) (/ (exp x) (- (exp x) 1)))))) * * * * [misc]progress: [ 658 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (/ 1 (sqrt (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (fabs (cbrt (+ (exp x) 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (fabs (cbrt (+ (exp x) 1))) (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp (+ x x)) 1) (sqrt (cbrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp (+ x x)) 1) (sqrt (cbrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (148 enodes) * * [misc]simplify: iters left: 2 (426 enodes) * [exit]simplify: Simplified to (* (* (sqrt (cbrt (+ 1 (exp x)))) (sqrt (+ 1 (exp x)))) (/ (/ (exp x) (- (exp x) 1)) (+ 1 (exp x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (fabs (cbrt (+ (exp x) 1))) (* (* (sqrt (cbrt (+ 1 (exp x)))) (sqrt (+ 1 (exp x)))) (/ (/ (exp x) (- (exp x) 1)) (+ 1 (exp x)))))) * * * * [misc]progress: [ 659 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (/ 1 (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ (exp x) 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (sqrt (sqrt (+ (exp x) 1))) (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp (+ x x)) 1) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp (+ x x)) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (149 enodes) * * [misc]simplify: iters left: 2 (415 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (+ 1 (exp x))) (+ 1 (exp x))) (* (sqrt (sqrt (+ 1 (exp x)))) (/ (exp x) (- (exp x) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (sqrt (sqrt (+ (exp x) 1))) (* (/ (sqrt (+ 1 (exp x))) (+ 1 (exp x))) (* (sqrt (sqrt (+ 1 (exp x)))) (/ (exp x) (- (exp x) 1)))))) * * * * [misc]progress: [ 660 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (/ 1 (sqrt 1))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * [exit]simplify: Simplified to (sqrt 1) * [misc]simplify: Simplified (2 1) to (λ (x) (* (sqrt 1) (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (124 enodes) * * [misc]simplify: iters left: 2 (301 enodes) * [exit]simplify: Simplified to (* 1 (/ (exp x) (- (exp x) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (sqrt 1) (* 1 (/ (exp x) (- (exp x) 1))))) * * * * [misc]progress: [ 661 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (/ 1 (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ (exp x) 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (sqrt (sqrt (+ (exp x) 1))) (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp (+ x x)) 1) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp (+ x x)) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (149 enodes) * * [misc]simplify: iters left: 2 (415 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (+ 1 (exp x))) (+ 1 (exp x))) (* (sqrt (sqrt (+ 1 (exp x)))) (/ (exp x) (- (exp x) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (sqrt (sqrt (+ (exp x) 1))) (* (/ (sqrt (+ 1 (exp x))) (+ 1 (exp x))) (* (sqrt (sqrt (+ 1 (exp x)))) (/ (exp x) (- (exp x) 1)))))) * * * * [misc]progress: [ 662 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (/ 1 1)) * * [misc]simplify: iters left: 4 (3 enodes) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (x) (* 1 (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (124 enodes) * * [misc]simplify: iters left: 2 (301 enodes) * [exit]simplify: Simplified to (* 1 (/ (exp x) (- (exp x) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* 1 (* 1 (/ (exp x) (- (exp x) 1))))) * * * * [misc]progress: [ 663 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (/ (+ (exp x) 1) (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (+ (exp x) 1))) (cbrt (sqrt (+ (exp x) 1)))) (+ (exp x) 1)) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (cbrt (sqrt (+ (exp x) 1))) (cbrt (sqrt (+ (exp x) 1)))) (+ (exp x) 1)) (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp x) 1) (cbrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp x) 1) (cbrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (120 enodes) * * [misc]simplify: iters left: 2 (293 enodes) * [exit]simplify: Simplified to (* (* (/ (exp x) (- (exp x) 1)) (sqrt (+ (exp x) 1))) (cbrt (sqrt (+ (exp x) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (cbrt (sqrt (+ (exp x) 1))) (cbrt (sqrt (+ (exp x) 1)))) (+ (exp x) 1)) (* (* (/ (exp x) (- (exp x) 1)) (sqrt (+ (exp x) 1))) (cbrt (sqrt (+ (exp x) 1)))))) * * * * [misc]progress: [ 664 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (/ (+ (exp x) 1) (sqrt (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (/ (fabs (cbrt (+ (exp x) 1))) (+ (exp x) 1)) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (fabs (cbrt (+ (exp x) 1))) (+ (exp x) 1)) (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp x) 1) (sqrt (cbrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp x) 1) (sqrt (cbrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (117 enodes) * * [misc]simplify: iters left: 2 (289 enodes) * [exit]simplify: Simplified to (* (* (/ (exp x) (- (exp x) 1)) (sqrt (+ (exp x) 1))) (sqrt (cbrt (+ (exp x) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (fabs (cbrt (+ (exp x) 1))) (+ (exp x) 1)) (* (* (/ (exp x) (- (exp x) 1)) (sqrt (+ (exp x) 1))) (sqrt (cbrt (+ (exp x) 1)))))) * * * * [misc]progress: [ 665 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (/ (+ (exp x) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ (exp x) 1))) (+ (exp x) 1)) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (sqrt (+ (exp x) 1))) (+ (exp x) 1)) (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp x) 1) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp x) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (120 enodes) * * [misc]simplify: iters left: 2 (293 enodes) * [exit]simplify: Simplified to (* (* (/ (exp x) (- (exp x) 1)) (sqrt (+ (exp x) 1))) (sqrt (sqrt (+ (exp x) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (sqrt (+ (exp x) 1))) (+ (exp x) 1)) (* (* (/ (exp x) (- (exp x) 1)) (sqrt (+ (exp x) 1))) (sqrt (sqrt (+ (exp x) 1)))))) * * * * [misc]progress: [ 666 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (/ (+ (exp x) 1) (sqrt 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (/ (sqrt 1) (+ (exp x) 1)) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt 1) (+ (exp x) 1)) (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp x) 1) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp x) 1) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (119 enodes) * * [misc]simplify: iters left: 2 (247 enodes) * [exit]simplify: Simplified to (* (+ 1 (exp x)) (/ (exp x) (- (exp x) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt 1) (+ (exp x) 1)) (* (+ 1 (exp x)) (/ (exp x) (- (exp x) 1))))) * * * * [misc]progress: [ 667 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (/ (+ (exp x) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ (exp x) 1))) (+ (exp x) 1)) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (sqrt (+ (exp x) 1))) (+ (exp x) 1)) (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp x) 1) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp x) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (120 enodes) * * [misc]simplify: iters left: 2 (293 enodes) * [exit]simplify: Simplified to (* (* (/ (exp x) (- (exp x) 1)) (sqrt (+ (exp x) 1))) (sqrt (sqrt (+ (exp x) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (sqrt (+ (exp x) 1))) (+ (exp x) 1)) (* (* (/ (exp x) (- (exp x) 1)) (sqrt (+ (exp x) 1))) (sqrt (sqrt (+ (exp x) 1)))))) * * * * [misc]progress: [ 668 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (/ (+ (exp x) 1) 1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ 1 (+ (exp x) 1)) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ 1 (+ (exp x) 1)) (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp x) 1) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp x) 1) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (119 enodes) * * [misc]simplify: iters left: 2 (247 enodes) * [exit]simplify: Simplified to (* (+ 1 (exp x)) (/ (exp x) (- (exp x) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ 1 (+ (exp x) 1)) (* (+ 1 (exp x)) (/ (exp x) (- (exp x) 1))))) * * * * [misc]progress: [ 669 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (/ (+ (sqrt (exp (+ x x))) 1) (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (90 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ 1 (exp x)))) (/ (cbrt (sqrt (+ 1 (exp x)))) (+ (fabs (exp x)) 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (cbrt (sqrt (+ 1 (exp x)))) (/ (cbrt (sqrt (+ 1 (exp x)))) (+ (fabs (exp x)) 1))) (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (sqrt (exp (+ x x))) 1) (cbrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (sqrt (exp (+ x x))) 1) (cbrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (121 enodes) * * [misc]simplify: iters left: 2 (233 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (+ (exp x) 1))) (* (sqrt (+ (exp x) 1)) (exp x))) (- (fabs (exp x)) 1)) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (cbrt (sqrt (+ 1 (exp x)))) (/ (cbrt (sqrt (+ 1 (exp x)))) (+ (fabs (exp x)) 1))) (/ (* (cbrt (sqrt (+ (exp x) 1))) (* (sqrt (+ (exp x) 1)) (exp x))) (- (fabs (exp x)) 1)))) * * * * [misc]progress: [ 670 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (/ (+ (sqrt (exp (+ x x))) 1) (sqrt (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (/ (fabs (cbrt (+ 1 (exp x)))) (+ (fabs (exp x)) 1)) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (fabs (cbrt (+ 1 (exp x)))) (+ (fabs (exp x)) 1)) (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (cbrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (cbrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (121 enodes) * * [misc]simplify: iters left: 2 (273 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (exp x) 1)) (/ (/ (- (fabs (exp x)) 1) (exp x)) (sqrt (cbrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (fabs (cbrt (+ 1 (exp x)))) (+ (fabs (exp x)) 1)) (/ (sqrt (+ (exp x) 1)) (/ (/ (- (fabs (exp x)) 1) (exp x)) (sqrt (cbrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 671 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (/ (+ (sqrt (exp (+ x x))) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 (exp x)))) (+ (fabs (exp x)) 1)) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (sqrt (+ 1 (exp x)))) (+ (fabs (exp x)) 1)) (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (121 enodes) * * [misc]simplify: iters left: 2 (233 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (sqrt (+ (exp x) 1))) (* (sqrt (+ (exp x) 1)) (exp x))) (- (fabs (exp x)) 1)) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (sqrt (+ 1 (exp x)))) (+ (fabs (exp x)) 1)) (/ (* (sqrt (sqrt (+ (exp x) 1))) (* (sqrt (+ (exp x) 1)) (exp x))) (- (fabs (exp x)) 1)))) * * * * [misc]progress: [ 672 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (/ (+ (sqrt (exp (+ x x))) 1) (sqrt 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (/ (sqrt 1) (+ (fabs (exp x)) 1)) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt 1) (+ (fabs (exp x)) 1)) (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (124 enodes) * * [misc]simplify: iters left: 2 (252 enodes) * [exit]simplify: Simplified to (/ (* (exp x) (+ 1 (exp x))) (- (fabs (exp x)) 1)) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt 1) (+ (fabs (exp x)) 1)) (/ (* (exp x) (+ 1 (exp x))) (- (fabs (exp x)) 1)))) * * * * [misc]progress: [ 673 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (/ (+ (sqrt (exp (+ x x))) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 (exp x)))) (+ (fabs (exp x)) 1)) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (sqrt (+ 1 (exp x)))) (+ (fabs (exp x)) 1)) (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (121 enodes) * * [misc]simplify: iters left: 2 (233 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (sqrt (+ (exp x) 1))) (* (sqrt (+ (exp x) 1)) (exp x))) (- (fabs (exp x)) 1)) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (sqrt (+ 1 (exp x)))) (+ (fabs (exp x)) 1)) (/ (* (sqrt (sqrt (+ (exp x) 1))) (* (sqrt (+ (exp x) 1)) (exp x))) (- (fabs (exp x)) 1)))) * * * * [misc]progress: [ 674 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (/ (+ (sqrt (exp (+ x x))) 1) 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ 1 (+ (fabs (exp x)) 1)) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ 1 (+ (fabs (exp x)) 1)) (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (124 enodes) * * [misc]simplify: iters left: 2 (252 enodes) * [exit]simplify: Simplified to (/ (* (exp x) (+ 1 (exp x))) (- (fabs (exp x)) 1)) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ 1 (+ (fabs (exp x)) 1)) (/ (* (exp x) (+ 1 (exp x))) (- (fabs (exp x)) 1)))) * * * * [misc]progress: [ 675 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) 1) * * [misc]simplify: iters left: 4 (3 enodes) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (x) (* 1 (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (124 enodes) * * [misc]simplify: iters left: 2 (301 enodes) * [exit]simplify: Simplified to (* 1 (/ (exp x) (- (exp x) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* 1 (* 1 (/ (exp x) (- (exp x) 1))))) * * * * [misc]progress: [ 676 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (- (exp (+ x x)) 1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (64 enodes) * [exit]simplify: Simplified to (/ 1 (- (* (exp x) (exp x)) 1)) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ 1 (- (* (exp x) (exp x)) 1)) (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ 1 (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ 1 (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (97 enodes) * [exit]simplify: Simplified to (+ (exp x) (* (exp x) (exp x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ 1 (- (* (exp x) (exp x)) 1)) (+ (exp x) (* (exp x) (exp x))))) * * * * [misc]progress: [ 677 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (/ (- (exp (+ x x)) 1) (sqrt (+ (pow 1 3) (pow (exp x) 3))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (135 enodes) * * [misc]simplify: iters left: 1 (290 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (pow (exp x) 3) 1)) (- (exp (+ x x)) 1)) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (+ (pow (exp x) 3) 1)) (- (exp (+ x x)) 1)) (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (sqrt (+ (* 1 1) (- (* (exp x) (exp x)) (* 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (sqrt (+ (* 1 1) (- (* (exp x) (exp x)) (* 1 (exp x)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (169 enodes) * * [misc]simplify: iters left: 2 (340 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (+ (exp x) 1)) (exp x)) (sqrt (- (exp (+ x x)) (- (exp x) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (+ (pow (exp x) 3) 1)) (- (exp (+ x x)) 1)) (/ (* (sqrt (+ (exp x) 1)) (exp x)) (sqrt (- (exp (+ x x)) (- (exp x) 1)))))) * * * * [misc]progress: [ 678 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (/ (- (exp (+ x x)) 1) (sqrt (- (* 1 1) (* (exp x) (exp x)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (129 enodes) * * [misc]simplify: iters left: 1 (283 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 (exp (+ x x)))) (- (exp (+ x x)) 1)) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (- 1 (exp (+ x x)))) (- (exp (+ x x)) 1)) (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (sqrt (- 1 (exp x)))))) * [enter]simplify: Simplifying (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (sqrt (- 1 (exp x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (158 enodes) * [exit]simplify: Simplified to (/ (exp x) (/ (sqrt (- 1 (exp x))) (sqrt (+ (exp x) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (- 1 (exp (+ x x)))) (- (exp (+ x x)) 1)) (/ (exp x) (/ (sqrt (- 1 (exp x))) (sqrt (+ (exp x) 1)))))) * * * * [misc]progress: [ 679 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (sqrt (+ (pow (exp x) 3) (pow 1 3))))) (* (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))) (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (124 enodes) * * [misc]simplify: iters left: 2 (256 enodes) * * [misc]simplify: iters left: 1 (494 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 (pow (exp x) 3))) (* (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ (exp x) 1)))) (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ (exp x) 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (+ 1 (pow (exp x) 3))) (* (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ (exp x) 1)))) (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ (exp x) 1)))))) (/ (/ (exp x) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (129 enodes) * * [misc]simplify: iters left: 2 (266 enodes) * [exit]simplify: Simplified to (/ (/ (exp x) (sqrt (+ (exp (+ x x)) (- 1 (exp x))))) (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (+ 1 (pow (exp x) 3))) (* (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ (exp x) 1)))) (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ (exp x) 1)))))) (/ (/ (exp x) (sqrt (+ (exp (+ x x)) (- 1 (exp x))))) (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))))) * * * * [misc]progress: [ 680 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (sqrt (+ (pow (exp x) 3) (pow 1 3))))) (sqrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (122 enodes) * * [misc]simplify: iters left: 1 (200 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 (pow (exp x) 3))) (sqrt (/ (- (exp (+ x x)) 1) (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (+ 1 (pow (exp x) 3))) (sqrt (/ (- (exp (+ x x)) 1) (sqrt (+ (exp x) 1))))) (/ (/ (exp x) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (sqrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (sqrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (129 enodes) * * [misc]simplify: iters left: 2 (266 enodes) * [exit]simplify: Simplified to (/ (/ (exp x) (sqrt (+ (exp (+ x x)) (- 1 (exp x))))) (sqrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (+ 1 (pow (exp x) 3))) (sqrt (/ (- (exp (+ x x)) 1) (sqrt (+ (exp x) 1))))) (/ (/ (exp x) (sqrt (+ (exp (+ x x)) (- 1 (exp x))))) (sqrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))))) * * * * [misc]progress: [ 681 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (sqrt (+ (pow (exp x) 3) (pow 1 3))))) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (100 enodes) * * [misc]simplify: iters left: 3 (275 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ 1 (pow (exp x) 3))) (/ (cbrt (- (exp (+ x x)) 1)) (cbrt (sqrt (+ 1 (exp x)))))) (/ (cbrt (- (exp (+ x x)) 1)) (cbrt (sqrt (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (sqrt (+ 1 (pow (exp x) 3))) (/ (cbrt (- (exp (+ x x)) 1)) (cbrt (sqrt (+ 1 (exp x)))))) (/ (cbrt (- (exp (+ x x)) 1)) (cbrt (sqrt (+ 1 (exp x)))))) (/ (/ (exp x) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (cbrt (- (exp (+ x x)) 1)) (cbrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (cbrt (- (exp (+ x x)) 1)) (cbrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (149 enodes) * * [misc]simplify: iters left: 2 (385 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 (exp x)))) (sqrt (+ (exp (+ x x)) (- 1 (exp x))))) (/ (exp x) (cbrt (- (exp (+ x x)) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (+ 1 (pow (exp x) 3))) (/ (cbrt (- (exp (+ x x)) 1)) (cbrt (sqrt (+ 1 (exp x)))))) (/ (cbrt (- (exp (+ x x)) 1)) (cbrt (sqrt (+ 1 (exp x)))))) (* (/ (cbrt (sqrt (+ 1 (exp x)))) (sqrt (+ (exp (+ x x)) (- 1 (exp x))))) (/ (exp x) (cbrt (- (exp (+ x x)) 1)))))) * * * * [misc]progress: [ 682 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (sqrt (+ (pow (exp x) 3) (pow 1 3))))) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (sqrt (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (180 enodes) * * [misc]simplify: iters left: 2 (492 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (+ 1 (pow (exp x) 3))) (cbrt (- (exp (+ x x)) 1))) (/ (fabs (cbrt (+ 1 (exp x)))) (cbrt (- (exp (+ x x)) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (sqrt (+ 1 (pow (exp x) 3))) (cbrt (- (exp (+ x x)) 1))) (/ (fabs (cbrt (+ 1 (exp x)))) (cbrt (- (exp (+ x x)) 1)))) (/ (/ (exp x) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (cbrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (cbrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (149 enodes) * * [misc]simplify: iters left: 2 (385 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (cbrt (+ 1 (exp x)))) (sqrt (+ (exp (+ x x)) (- 1 (exp x))))) (/ (exp x) (cbrt (- (exp (+ x x)) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (sqrt (+ 1 (pow (exp x) 3))) (cbrt (- (exp (+ x x)) 1))) (/ (fabs (cbrt (+ 1 (exp x)))) (cbrt (- (exp (+ x x)) 1)))) (* (/ (sqrt (cbrt (+ 1 (exp x)))) (sqrt (+ (exp (+ x x)) (- 1 (exp x))))) (/ (exp x) (cbrt (- (exp (+ x x)) 1)))))) * * * * [misc]progress: [ 683 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (sqrt (+ (pow (exp x) 3) (pow 1 3))))) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (179 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ 1 (exp x)))) (cbrt (- (exp (+ x x)) 1))) (/ (sqrt (+ 1 (pow (exp x) 3))) (cbrt (- (exp (+ x x)) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (sqrt (sqrt (+ 1 (exp x)))) (cbrt (- (exp (+ x x)) 1))) (/ (sqrt (+ 1 (pow (exp x) 3))) (cbrt (- (exp (+ x x)) 1)))) (/ (/ (exp x) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (149 enodes) * * [misc]simplify: iters left: 2 (385 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ 1 (exp x)))) (sqrt (+ (exp (+ x x)) (- 1 (exp x))))) (/ (exp x) (cbrt (- (exp (+ x x)) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (sqrt (sqrt (+ 1 (exp x)))) (cbrt (- (exp (+ x x)) 1))) (/ (sqrt (+ 1 (pow (exp x) 3))) (cbrt (- (exp (+ x x)) 1)))) (* (/ (sqrt (sqrt (+ 1 (exp x)))) (sqrt (+ (exp (+ x x)) (- 1 (exp x))))) (/ (exp x) (cbrt (- (exp (+ x x)) 1)))))) * * * * [misc]progress: [ 684 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (sqrt (+ (pow (exp x) 3) (pow 1 3))))) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (sqrt 1))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (178 enodes) * [exit]simplify: Simplified to (* (/ (sqrt 1) (cbrt (- (exp (+ x x)) 1))) (/ (sqrt (+ 1 (pow (exp x) 3))) (cbrt (- (exp (+ x x)) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (sqrt 1) (cbrt (- (exp (+ x x)) 1))) (/ (sqrt (+ 1 (pow (exp x) 3))) (cbrt (- (exp (+ x x)) 1)))) (/ (/ (exp x) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (147 enodes) * * [misc]simplify: iters left: 2 (384 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (+ 1 (exp x))) (cbrt (- (exp (+ x x)) 1))) (/ (exp x) (sqrt (+ (exp (+ x x)) (- 1 (exp x)))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (sqrt 1) (cbrt (- (exp (+ x x)) 1))) (/ (sqrt (+ 1 (pow (exp x) 3))) (cbrt (- (exp (+ x x)) 1)))) (* (/ (sqrt (+ 1 (exp x))) (cbrt (- (exp (+ x x)) 1))) (/ (exp x) (sqrt (+ (exp (+ x x)) (- 1 (exp x)))))))) * * * * [misc]progress: [ 685 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (sqrt (+ (pow (exp x) 3) (pow 1 3))))) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (179 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ 1 (exp x)))) (cbrt (- (exp (+ x x)) 1))) (/ (sqrt (+ 1 (pow (exp x) 3))) (cbrt (- (exp (+ x x)) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (sqrt (sqrt (+ 1 (exp x)))) (cbrt (- (exp (+ x x)) 1))) (/ (sqrt (+ 1 (pow (exp x) 3))) (cbrt (- (exp (+ x x)) 1)))) (/ (/ (exp x) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (149 enodes) * * [misc]simplify: iters left: 2 (385 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ 1 (exp x)))) (sqrt (+ (exp (+ x x)) (- 1 (exp x))))) (/ (exp x) (cbrt (- (exp (+ x x)) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (sqrt (sqrt (+ 1 (exp x)))) (cbrt (- (exp (+ x x)) 1))) (/ (sqrt (+ 1 (pow (exp x) 3))) (cbrt (- (exp (+ x x)) 1)))) (* (/ (sqrt (sqrt (+ 1 (exp x)))) (sqrt (+ (exp (+ x x)) (- 1 (exp x))))) (/ (exp x) (cbrt (- (exp (+ x x)) 1)))))) * * * * [misc]progress: [ 686 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (sqrt (+ (pow (exp x) 3) (pow 1 3))))) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) 1)) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (259 enodes) * * [misc]simplify: iters left: 1 (405 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 (pow (exp x) 3))) (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (+ 1 (pow (exp x) 3))) (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1)))) (/ (/ (exp x) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (147 enodes) * * [misc]simplify: iters left: 2 (384 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (+ 1 (exp x))) (cbrt (- (exp (+ x x)) 1))) (/ (exp x) (sqrt (+ (exp (+ x x)) (- 1 (exp x)))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (+ 1 (pow (exp x) 3))) (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1)))) (* (/ (sqrt (+ 1 (exp x))) (cbrt (- (exp (+ x x)) 1))) (/ (exp x) (sqrt (+ (exp (+ x x)) (- 1 (exp x)))))))) * * * * [misc]progress: [ 687 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (sqrt (+ (pow (exp x) 3) (pow 1 3))))) (/ (sqrt (- (exp (+ x x)) 1)) (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (139 enodes) * * [misc]simplify: iters left: 2 (314 enodes) * [exit]simplify: Simplified to (* (* (cbrt (sqrt (+ 1 (exp x)))) (sqrt (+ 1 (pow (exp x) 3)))) (/ (cbrt (sqrt (+ 1 (exp x)))) (sqrt (- (exp (+ x x)) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (* (cbrt (sqrt (+ 1 (exp x)))) (sqrt (+ 1 (pow (exp x) 3)))) (/ (cbrt (sqrt (+ 1 (exp x)))) (sqrt (- (exp (+ x x)) 1)))) (/ (/ (exp x) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (cbrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (cbrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (149 enodes) * * [misc]simplify: iters left: 2 (385 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 (exp x)))) (sqrt (+ (exp (+ x x)) (- 1 (exp x))))) (/ (exp x) (sqrt (- (exp (+ x x)) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (* (cbrt (sqrt (+ 1 (exp x)))) (sqrt (+ 1 (pow (exp x) 3)))) (/ (cbrt (sqrt (+ 1 (exp x)))) (sqrt (- (exp (+ x x)) 1)))) (* (/ (cbrt (sqrt (+ 1 (exp x)))) (sqrt (+ (exp (+ x x)) (- 1 (exp x))))) (/ (exp x) (sqrt (- (exp (+ x x)) 1)))))) * * * * [misc]progress: [ 688 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (sqrt (+ (pow (exp x) 3) (pow 1 3))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (107 enodes) * * [misc]simplify: iters left: 2 (187 enodes) * * [misc]simplify: iters left: 1 (341 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 (pow (exp x) 3))) (/ (sqrt (- (exp (+ x x)) 1)) (fabs (cbrt (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (+ 1 (pow (exp x) 3))) (/ (sqrt (- (exp (+ x x)) 1)) (fabs (cbrt (+ 1 (exp x)))))) (/ (/ (exp x) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (cbrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (cbrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (149 enodes) * * [misc]simplify: iters left: 2 (385 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (cbrt (+ 1 (exp x)))) (sqrt (+ (exp (+ x x)) (- 1 (exp x))))) (/ (exp x) (sqrt (- (exp (+ x x)) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (+ 1 (pow (exp x) 3))) (/ (sqrt (- (exp (+ x x)) 1)) (fabs (cbrt (+ 1 (exp x)))))) (* (/ (sqrt (cbrt (+ 1 (exp x)))) (sqrt (+ (exp (+ x x)) (- 1 (exp x))))) (/ (exp x) (sqrt (- (exp (+ x x)) 1)))))) * * * * [misc]progress: [ 689 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (sqrt (+ (pow (exp x) 3) (pow 1 3))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (105 enodes) * * [misc]simplify: iters left: 2 (194 enodes) * * [misc]simplify: iters left: 1 (428 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (+ 1 (pow (exp x) 3))) (sqrt (sqrt (+ (exp x) 1)))) (sqrt (- (exp (+ x x)) 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (sqrt (+ 1 (pow (exp x) 3))) (sqrt (sqrt (+ (exp x) 1)))) (sqrt (- (exp (+ x x)) 1))) (/ (/ (exp x) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (149 enodes) * * [misc]simplify: iters left: 2 (385 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ 1 (exp x)))) (sqrt (+ (exp (+ x x)) (- 1 (exp x))))) (/ (exp x) (sqrt (- (exp (+ x x)) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (sqrt (+ 1 (pow (exp x) 3))) (sqrt (sqrt (+ (exp x) 1)))) (sqrt (- (exp (+ x x)) 1))) (* (/ (sqrt (sqrt (+ 1 (exp x)))) (sqrt (+ (exp (+ x x)) (- 1 (exp x))))) (/ (exp x) (sqrt (- (exp (+ x x)) 1)))))) * * * * [misc]progress: [ 690 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (sqrt (+ (pow (exp x) 3) (pow 1 3))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt 1))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (193 enodes) * * [misc]simplify: iters left: 1 (458 enodes) * [exit]simplify: Simplified to (* (sqrt 1) (/ (sqrt (+ 1 (pow (exp x) 3))) (sqrt (- (exp (+ x x)) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (sqrt 1) (/ (sqrt (+ 1 (pow (exp x) 3))) (sqrt (- (exp (+ x x)) 1)))) (/ (/ (exp x) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (147 enodes) * * [misc]simplify: iters left: 2 (384 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (+ 1 (exp x))) (sqrt (- (exp (+ x x)) 1))) (/ (exp x) (sqrt (+ (exp (+ x x)) (- 1 (exp x)))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt 1) (/ (sqrt (+ 1 (pow (exp x) 3))) (sqrt (- (exp (+ x x)) 1)))) (* (/ (sqrt (+ 1 (exp x))) (sqrt (- (exp (+ x x)) 1))) (/ (exp x) (sqrt (+ (exp (+ x x)) (- 1 (exp x)))))))) * * * * [misc]progress: [ 691 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (sqrt (+ (pow (exp x) 3) (pow 1 3))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (105 enodes) * * [misc]simplify: iters left: 2 (194 enodes) * * [misc]simplify: iters left: 1 (428 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (+ 1 (pow (exp x) 3))) (sqrt (sqrt (+ (exp x) 1)))) (sqrt (- (exp (+ x x)) 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (sqrt (+ 1 (pow (exp x) 3))) (sqrt (sqrt (+ (exp x) 1)))) (sqrt (- (exp (+ x x)) 1))) (/ (/ (exp x) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (149 enodes) * * [misc]simplify: iters left: 2 (385 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ 1 (exp x)))) (sqrt (+ (exp (+ x x)) (- 1 (exp x))))) (/ (exp x) (sqrt (- (exp (+ x x)) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (sqrt (+ 1 (pow (exp x) 3))) (sqrt (sqrt (+ (exp x) 1)))) (sqrt (- (exp (+ x x)) 1))) (* (/ (sqrt (sqrt (+ 1 (exp x)))) (sqrt (+ (exp (+ x x)) (- 1 (exp x))))) (/ (exp x) (sqrt (- (exp (+ x x)) 1)))))) * * * * [misc]progress: [ 692 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (sqrt (+ (pow (exp x) 3) (pow 1 3))))) (/ (sqrt (- (exp (+ x x)) 1)) 1)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (141 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 (pow (exp x) 3))) (sqrt (- (exp (+ x x)) 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (+ 1 (pow (exp x) 3))) (sqrt (- (exp (+ x x)) 1))) (/ (/ (exp x) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (147 enodes) * * [misc]simplify: iters left: 2 (384 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (+ 1 (exp x))) (sqrt (- (exp (+ x x)) 1))) (/ (exp x) (sqrt (+ (exp (+ x x)) (- 1 (exp x)))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (+ 1 (pow (exp x) 3))) (sqrt (- (exp (+ x x)) 1))) (* (/ (sqrt (+ 1 (exp x))) (sqrt (- (exp (+ x x)) 1))) (/ (exp x) (sqrt (+ (exp (+ x x)) (- 1 (exp x)))))))) * * * * [misc]progress: [ 693 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (sqrt (+ (pow (exp x) 3) (pow 1 3))))) (/ 1 (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (109 enodes) * * [misc]simplify: iters left: 2 (164 enodes) * * [misc]simplify: iters left: 1 (293 enodes) * [exit]simplify: Simplified to (* (* (sqrt (+ 1 (pow (exp x) 3))) (cbrt (sqrt (+ 1 (exp x))))) (cbrt (sqrt (+ 1 (exp x))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (* (sqrt (+ 1 (pow (exp x) 3))) (cbrt (sqrt (+ 1 (exp x))))) (cbrt (sqrt (+ 1 (exp x))))) (/ (/ (exp x) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (- (exp (+ x x)) 1) (cbrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (- (exp (+ x x)) 1) (cbrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (175 enodes) * [exit]simplify: Simplified to (* (/ (exp x) (sqrt (+ (exp (+ x x)) (- 1 (exp x))))) (/ (cbrt (sqrt (+ 1 (exp x)))) (- (exp (+ x x)) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (* (sqrt (+ 1 (pow (exp x) 3))) (cbrt (sqrt (+ 1 (exp x))))) (cbrt (sqrt (+ 1 (exp x))))) (* (/ (exp x) (sqrt (+ (exp (+ x x)) (- 1 (exp x))))) (/ (cbrt (sqrt (+ 1 (exp x)))) (- (exp (+ x x)) 1))))) * * * * [misc]progress: [ 694 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (sqrt (+ (pow (exp x) 3) (pow 1 3))))) (/ 1 (sqrt (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * [exit]simplify: Simplified to (* (sqrt (+ 1 (pow (exp x) 3))) (fabs (cbrt (+ 1 (exp x))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (sqrt (+ 1 (pow (exp x) 3))) (fabs (cbrt (+ 1 (exp x))))) (/ (/ (exp x) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (- (exp (+ x x)) 1) (sqrt (cbrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (- (exp (+ x x)) 1) (sqrt (cbrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (175 enodes) * [exit]simplify: Simplified to (* (/ (exp x) (sqrt (+ (exp (+ x x)) (- 1 (exp x))))) (/ (sqrt (cbrt (+ 1 (exp x)))) (- (exp (+ x x)) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt (+ 1 (pow (exp x) 3))) (fabs (cbrt (+ 1 (exp x))))) (* (/ (exp x) (sqrt (+ (exp (+ x x)) (- 1 (exp x))))) (/ (sqrt (cbrt (+ 1 (exp x)))) (- (exp (+ x x)) 1))))) * * * * [misc]progress: [ 695 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (sqrt (+ (pow (exp x) 3) (pow 1 3))))) (/ 1 (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (102 enodes) * [exit]simplify: Simplified to (* (sqrt (+ 1 (pow (exp x) 3))) (sqrt (sqrt (+ 1 (exp x))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (sqrt (+ 1 (pow (exp x) 3))) (sqrt (sqrt (+ 1 (exp x))))) (/ (/ (exp x) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (- (exp (+ x x)) 1) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (- (exp (+ x x)) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (175 enodes) * [exit]simplify: Simplified to (* (/ (exp x) (sqrt (+ (exp (+ x x)) (- 1 (exp x))))) (/ (sqrt (sqrt (+ 1 (exp x)))) (- (exp (+ x x)) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt (+ 1 (pow (exp x) 3))) (sqrt (sqrt (+ 1 (exp x))))) (* (/ (exp x) (sqrt (+ (exp (+ x x)) (- 1 (exp x))))) (/ (sqrt (sqrt (+ 1 (exp x)))) (- (exp (+ x x)) 1))))) * * * * [misc]progress: [ 696 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (sqrt (+ (pow (exp x) 3) (pow 1 3))))) (/ 1 (sqrt 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (98 enodes) * [exit]simplify: Simplified to (* (sqrt (+ 1 (pow (exp x) 3))) (sqrt 1)) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (sqrt (+ 1 (pow (exp x) 3))) (sqrt 1)) (/ (/ (exp x) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (174 enodes) * [exit]simplify: Simplified to (/ (/ (* (sqrt (+ 1 (exp x))) (exp x)) (sqrt (+ (exp (+ x x)) (- 1 (exp x))))) (- (exp (+ x x)) 1)) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt (+ 1 (pow (exp x) 3))) (sqrt 1)) (/ (/ (* (sqrt (+ 1 (exp x))) (exp x)) (sqrt (+ (exp (+ x x)) (- 1 (exp x))))) (- (exp (+ x x)) 1)))) * * * * [misc]progress: [ 697 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (sqrt (+ (pow (exp x) 3) (pow 1 3))))) (/ 1 (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (102 enodes) * [exit]simplify: Simplified to (* (sqrt (+ 1 (pow (exp x) 3))) (sqrt (sqrt (+ 1 (exp x))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (sqrt (+ 1 (pow (exp x) 3))) (sqrt (sqrt (+ 1 (exp x))))) (/ (/ (exp x) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (- (exp (+ x x)) 1) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (- (exp (+ x x)) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (175 enodes) * [exit]simplify: Simplified to (* (/ (exp x) (sqrt (+ (exp (+ x x)) (- 1 (exp x))))) (/ (sqrt (sqrt (+ 1 (exp x)))) (- (exp (+ x x)) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt (+ 1 (pow (exp x) 3))) (sqrt (sqrt (+ 1 (exp x))))) (* (/ (exp x) (sqrt (+ (exp (+ x x)) (- 1 (exp x))))) (/ (sqrt (sqrt (+ 1 (exp x)))) (- (exp (+ x x)) 1))))) * * * * [misc]progress: [ 698 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (sqrt (+ (pow (exp x) 3) (pow 1 3))))) (/ 1 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 (pow (exp x) 3))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (sqrt (+ 1 (pow (exp x) 3))) (/ (/ (exp x) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (174 enodes) * [exit]simplify: Simplified to (/ (/ (* (sqrt (+ 1 (exp x))) (exp x)) (sqrt (+ (exp (+ x x)) (- 1 (exp x))))) (- (exp (+ x x)) 1)) * [misc]simplify: Simplified (2 2) to (λ (x) (* (sqrt (+ 1 (pow (exp x) 3))) (/ (/ (* (sqrt (+ 1 (exp x))) (exp x)) (sqrt (+ (exp (+ x x)) (- 1 (exp x))))) (- (exp (+ x x)) 1)))) * * * * [misc]progress: [ 699 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (sqrt (+ (pow (exp x) 3) (pow 1 3))))) (/ (+ (exp x) 1) (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (130 enodes) * * [misc]simplify: iters left: 2 (291 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (+ 1 (pow (exp x) 3))) (+ 1 (exp x))) (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (sqrt (+ 1 (pow (exp x) 3))) (+ 1 (exp x))) (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x)))))) (/ (/ (exp x) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (- (exp x) 1) (cbrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (- (exp x) 1) (cbrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (161 enodes) * * [misc]simplify: iters left: 2 (455 enodes) * [exit]simplify: Simplified to (* (/ (/ (exp x) (- (exp x) 1)) (sqrt (+ (exp (+ x x)) (- 1 (exp x))))) (cbrt (sqrt (+ 1 (exp x))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (sqrt (+ 1 (pow (exp x) 3))) (+ 1 (exp x))) (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x)))))) (* (/ (/ (exp x) (- (exp x) 1)) (sqrt (+ (exp (+ x x)) (- 1 (exp x))))) (cbrt (sqrt (+ 1 (exp x))))))) * * * * [misc]progress: [ 700 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (sqrt (+ (pow (exp x) 3) (pow 1 3))))) (/ (+ (exp x) 1) (sqrt (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (155 enodes) * * [misc]simplify: iters left: 1 (228 enodes) * [exit]simplify: Simplified to (* (fabs (cbrt (+ (exp x) 1))) (/ (sqrt (+ 1 (pow (exp x) 3))) (+ (exp x) 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (fabs (cbrt (+ (exp x) 1))) (/ (sqrt (+ 1 (pow (exp x) 3))) (+ (exp x) 1))) (/ (/ (exp x) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (- (exp x) 1) (sqrt (cbrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (- (exp x) 1) (sqrt (cbrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (161 enodes) * * [misc]simplify: iters left: 2 (455 enodes) * [exit]simplify: Simplified to (* (/ (/ (exp x) (- (exp x) 1)) (sqrt (+ (exp (+ x x)) (- 1 (exp x))))) (sqrt (cbrt (+ 1 (exp x))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (fabs (cbrt (+ (exp x) 1))) (/ (sqrt (+ 1 (pow (exp x) 3))) (+ (exp x) 1))) (* (/ (/ (exp x) (- (exp x) 1)) (sqrt (+ (exp (+ x x)) (- 1 (exp x))))) (sqrt (cbrt (+ 1 (exp x))))))) * * * * [misc]progress: [ 701 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (sqrt (+ (pow (exp x) 3) (pow 1 3))))) (/ (+ (exp x) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (96 enodes) * * [misc]simplify: iters left: 2 (172 enodes) * * [misc]simplify: iters left: 1 (340 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (+ 1 (pow (exp x) 3))) (sqrt (sqrt (+ 1 (exp x))))) (+ 1 (exp x))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (sqrt (+ 1 (pow (exp x) 3))) (sqrt (sqrt (+ 1 (exp x))))) (+ 1 (exp x))) (/ (/ (exp x) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (- (exp x) 1) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (- (exp x) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (161 enodes) * * [misc]simplify: iters left: 2 (455 enodes) * [exit]simplify: Simplified to (* (/ (/ (exp x) (- (exp x) 1)) (sqrt (+ (exp (+ x x)) (- 1 (exp x))))) (sqrt (sqrt (+ 1 (exp x))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (sqrt (+ 1 (pow (exp x) 3))) (sqrt (sqrt (+ 1 (exp x))))) (+ 1 (exp x))) (* (/ (/ (exp x) (- (exp x) 1)) (sqrt (+ (exp (+ x x)) (- 1 (exp x))))) (sqrt (sqrt (+ 1 (exp x))))))) * * * * [misc]progress: [ 702 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (sqrt (+ (pow (exp x) 3) (pow 1 3))))) (/ (+ (exp x) 1) (sqrt 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * * [misc]simplify: iters left: 2 (169 enodes) * * [misc]simplify: iters left: 1 (348 enodes) * [exit]simplify: Simplified to (* (sqrt (+ 1 (pow (exp x) 3))) (/ (sqrt 1) (+ (exp x) 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (sqrt (+ 1 (pow (exp x) 3))) (/ (sqrt 1) (+ (exp x) 1))) (/ (/ (exp x) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (- (exp x) 1) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (- (exp x) 1) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (160 enodes) * * [misc]simplify: iters left: 2 (464 enodes) * [exit]simplify: Simplified to (/ (* (/ (exp x) (- (exp x) 1)) (sqrt (+ 1 (exp x)))) (sqrt (+ (exp (+ x x)) (- 1 (exp x))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt (+ 1 (pow (exp x) 3))) (/ (sqrt 1) (+ (exp x) 1))) (/ (* (/ (exp x) (- (exp x) 1)) (sqrt (+ 1 (exp x)))) (sqrt (+ (exp (+ x x)) (- 1 (exp x))))))) * * * * [misc]progress: [ 703 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (sqrt (+ (pow (exp x) 3) (pow 1 3))))) (/ (+ (exp x) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (96 enodes) * * [misc]simplify: iters left: 2 (172 enodes) * * [misc]simplify: iters left: 1 (340 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (+ 1 (pow (exp x) 3))) (sqrt (sqrt (+ 1 (exp x))))) (+ 1 (exp x))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (sqrt (+ 1 (pow (exp x) 3))) (sqrt (sqrt (+ 1 (exp x))))) (+ 1 (exp x))) (/ (/ (exp x) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (- (exp x) 1) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (- (exp x) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (161 enodes) * * [misc]simplify: iters left: 2 (455 enodes) * [exit]simplify: Simplified to (* (/ (/ (exp x) (- (exp x) 1)) (sqrt (+ (exp (+ x x)) (- 1 (exp x))))) (sqrt (sqrt (+ 1 (exp x))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (sqrt (+ 1 (pow (exp x) 3))) (sqrt (sqrt (+ 1 (exp x))))) (+ 1 (exp x))) (* (/ (/ (exp x) (- (exp x) 1)) (sqrt (+ (exp (+ x x)) (- 1 (exp x))))) (sqrt (sqrt (+ 1 (exp x))))))) * * * * [misc]progress: [ 704 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (sqrt (+ (pow (exp x) 3) (pow 1 3))))) (/ (+ (exp x) 1) 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (91 enodes) * * [misc]simplify: iters left: 1 (119 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 (pow (exp x) 3))) (+ (exp x) 1)) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (+ 1 (pow (exp x) 3))) (+ (exp x) 1)) (/ (/ (exp x) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (- (exp x) 1) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (- (exp x) 1) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (160 enodes) * * [misc]simplify: iters left: 2 (464 enodes) * [exit]simplify: Simplified to (/ (* (/ (exp x) (- (exp x) 1)) (sqrt (+ 1 (exp x)))) (sqrt (+ (exp (+ x x)) (- 1 (exp x))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (+ 1 (pow (exp x) 3))) (+ (exp x) 1)) (/ (* (/ (exp x) (- (exp x) 1)) (sqrt (+ 1 (exp x)))) (sqrt (+ (exp (+ x x)) (- 1 (exp x))))))) * * * * [misc]progress: [ 705 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (sqrt (+ (pow (exp x) 3) (pow 1 3))))) (/ (+ (sqrt (exp (+ x x))) 1) (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (134 enodes) * * [misc]simplify: iters left: 2 (293 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 (exp x)))) (+ (fabs (exp x)) 1)) (* (sqrt (+ 1 (pow (exp x) 3))) (cbrt (sqrt (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (cbrt (sqrt (+ 1 (exp x)))) (+ (fabs (exp x)) 1)) (* (sqrt (+ 1 (pow (exp x) 3))) (cbrt (sqrt (+ 1 (exp x)))))) (/ (/ (exp x) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (- (sqrt (exp (+ x x))) 1) (cbrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (- (sqrt (exp (+ x x))) 1) (cbrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (158 enodes) * * [misc]simplify: iters left: 2 (444 enodes) * [exit]simplify: Simplified to (* (/ (/ (exp x) (- (fabs (exp x)) 1)) (sqrt (+ (exp (+ x x)) (- 1 (exp x))))) (cbrt (sqrt (+ 1 (exp x))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (cbrt (sqrt (+ 1 (exp x)))) (+ (fabs (exp x)) 1)) (* (sqrt (+ 1 (pow (exp x) 3))) (cbrt (sqrt (+ 1 (exp x)))))) (* (/ (/ (exp x) (- (fabs (exp x)) 1)) (sqrt (+ (exp (+ x x)) (- 1 (exp x))))) (cbrt (sqrt (+ 1 (exp x))))))) * * * * [misc]progress: [ 706 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (sqrt (+ (pow (exp x) 3) (pow 1 3))))) (/ (+ (sqrt (exp (+ x x))) 1) (sqrt (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (159 enodes) * * [misc]simplify: iters left: 1 (233 enodes) * [exit]simplify: Simplified to (* (fabs (cbrt (+ 1 (exp x)))) (/ (sqrt (+ 1 (pow (exp x) 3))) (+ (fabs (exp x)) 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (fabs (cbrt (+ 1 (exp x)))) (/ (sqrt (+ 1 (pow (exp x) 3))) (+ (fabs (exp x)) 1))) (/ (/ (exp x) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (cbrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (cbrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (158 enodes) * * [misc]simplify: iters left: 2 (444 enodes) * [exit]simplify: Simplified to (* (/ (/ (exp x) (- (fabs (exp x)) 1)) (sqrt (+ (exp (+ x x)) (- 1 (exp x))))) (sqrt (cbrt (+ 1 (exp x))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (fabs (cbrt (+ 1 (exp x)))) (/ (sqrt (+ 1 (pow (exp x) 3))) (+ (fabs (exp x)) 1))) (* (/ (/ (exp x) (- (fabs (exp x)) 1)) (sqrt (+ (exp (+ x x)) (- 1 (exp x))))) (sqrt (cbrt (+ 1 (exp x))))))) * * * * [misc]progress: [ 707 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (sqrt (+ (pow (exp x) 3) (pow 1 3))))) (/ (+ (sqrt (exp (+ x x))) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (174 enodes) * * [misc]simplify: iters left: 1 (358 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ 1 (exp x)))) (+ (fabs (exp x)) 1)) (sqrt (+ 1 (pow (exp x) 3)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (sqrt (sqrt (+ 1 (exp x)))) (+ (fabs (exp x)) 1)) (sqrt (+ 1 (pow (exp x) 3)))) (/ (/ (exp x) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (158 enodes) * * [misc]simplify: iters left: 2 (444 enodes) * [exit]simplify: Simplified to (* (/ (/ (exp x) (- (fabs (exp x)) 1)) (sqrt (+ (exp (+ x x)) (- 1 (exp x))))) (sqrt (sqrt (+ 1 (exp x))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (sqrt (sqrt (+ 1 (exp x)))) (+ (fabs (exp x)) 1)) (sqrt (+ 1 (pow (exp x) 3)))) (* (/ (/ (exp x) (- (fabs (exp x)) 1)) (sqrt (+ (exp (+ x x)) (- 1 (exp x))))) (sqrt (sqrt (+ 1 (exp x))))))) * * * * [misc]progress: [ 708 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (sqrt (+ (pow (exp x) 3) (pow 1 3))))) (/ (+ (sqrt (exp (+ x x))) 1) (sqrt 1))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (170 enodes) * * [misc]simplify: iters left: 1 (337 enodes) * [exit]simplify: Simplified to (* (sqrt (+ 1 (pow (exp x) 3))) (/ (sqrt 1) (+ (fabs (exp x)) 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (sqrt (+ 1 (pow (exp x) 3))) (/ (sqrt 1) (+ (fabs (exp x)) 1))) (/ (/ (exp x) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (156 enodes) * * [misc]simplify: iters left: 2 (430 enodes) * [exit]simplify: Simplified to (* (/ (/ (exp x) (- (fabs (exp x)) 1)) (sqrt (+ (exp (+ x x)) (- 1 (exp x))))) (sqrt (+ 1 (exp x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt (+ 1 (pow (exp x) 3))) (/ (sqrt 1) (+ (fabs (exp x)) 1))) (* (/ (/ (exp x) (- (fabs (exp x)) 1)) (sqrt (+ (exp (+ x x)) (- 1 (exp x))))) (sqrt (+ 1 (exp x)))))) * * * * [misc]progress: [ 709 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (sqrt (+ (pow (exp x) 3) (pow 1 3))))) (/ (+ (sqrt (exp (+ x x))) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (174 enodes) * * [misc]simplify: iters left: 1 (358 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ 1 (exp x)))) (+ (fabs (exp x)) 1)) (sqrt (+ 1 (pow (exp x) 3)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (sqrt (sqrt (+ 1 (exp x)))) (+ (fabs (exp x)) 1)) (sqrt (+ 1 (pow (exp x) 3)))) (/ (/ (exp x) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (158 enodes) * * [misc]simplify: iters left: 2 (444 enodes) * [exit]simplify: Simplified to (* (/ (/ (exp x) (- (fabs (exp x)) 1)) (sqrt (+ (exp (+ x x)) (- 1 (exp x))))) (sqrt (sqrt (+ 1 (exp x))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (sqrt (sqrt (+ 1 (exp x)))) (+ (fabs (exp x)) 1)) (sqrt (+ 1 (pow (exp x) 3)))) (* (/ (/ (exp x) (- (fabs (exp x)) 1)) (sqrt (+ (exp (+ x x)) (- 1 (exp x))))) (sqrt (sqrt (+ 1 (exp x))))))) * * * * [misc]progress: [ 710 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (sqrt (+ (pow (exp x) 3) (pow 1 3))))) (/ (+ (sqrt (exp (+ x x))) 1) 1)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (93 enodes) * * [misc]simplify: iters left: 1 (114 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 (pow (exp x) 3))) (+ (fabs (exp x)) 1)) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (+ 1 (pow (exp x) 3))) (+ (fabs (exp x)) 1)) (/ (/ (exp x) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (156 enodes) * * [misc]simplify: iters left: 2 (430 enodes) * [exit]simplify: Simplified to (* (/ (/ (exp x) (- (fabs (exp x)) 1)) (sqrt (+ (exp (+ x x)) (- 1 (exp x))))) (sqrt (+ 1 (exp x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (+ 1 (pow (exp x) 3))) (+ (fabs (exp x)) 1)) (* (/ (/ (exp x) (- (fabs (exp x)) 1)) (sqrt (+ (exp (+ x x)) (- 1 (exp x))))) (sqrt (+ 1 (exp x)))))) * * * * [misc]progress: [ 711 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (sqrt (+ (pow (exp x) 3) (pow 1 3))))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 (pow (exp x) 3))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (sqrt (+ 1 (pow (exp x) 3))) (/ (/ (exp x) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (174 enodes) * [exit]simplify: Simplified to (/ (/ (* (sqrt (+ 1 (exp x))) (exp x)) (sqrt (+ (exp (+ x x)) (- 1 (exp x))))) (- (exp (+ x x)) 1)) * [misc]simplify: Simplified (2 2) to (λ (x) (* (sqrt (+ 1 (pow (exp x) 3))) (/ (/ (* (sqrt (+ 1 (exp x))) (exp x)) (sqrt (+ (exp (+ x x)) (- 1 (exp x))))) (- (exp (+ x x)) 1)))) * * * * [misc]progress: [ 712 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (sqrt (+ (pow (exp x) 3) (pow 1 3))))) (- (exp (+ x x)) 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (238 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 (pow (exp x) 3))) (- (exp (+ x x)) 1)) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (+ 1 (pow (exp x) 3))) (- (exp (+ x x)) 1)) (/ (/ (exp x) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ 1 (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (/ 1 (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (140 enodes) * * [misc]simplify: iters left: 2 (330 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (+ 1 (exp x))) (exp x)) (sqrt (- (exp (+ x x)) (- (exp x) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (+ 1 (pow (exp x) 3))) (- (exp (+ x x)) 1)) (/ (* (sqrt (+ 1 (exp x))) (exp x)) (sqrt (- (exp (+ x x)) (- (exp x) 1)))))) * * * * [misc]progress: [ 713 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (sqrt (+ (pow (exp x) 3) (pow 1 3))))) (/ (- (exp (+ x x)) 1) (sqrt (+ (pow 1 3) (pow (exp x) 3))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (152 enodes) * * [misc]simplify: iters left: 2 (422 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ 1 (pow (exp x) 3))) (- (exp x) 1)) (/ (+ (exp x) 1) (sqrt (+ 1 (pow (exp x) 3))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (sqrt (+ 1 (pow (exp x) 3))) (- (exp x) 1)) (/ (+ (exp x) 1) (sqrt (+ 1 (pow (exp x) 3))))) (/ (/ (exp x) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (sqrt (+ (* 1 1) (- (* (exp x) (exp x)) (* 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (sqrt (+ (* 1 1) (- (* (exp x) (exp x)) (* 1 (exp x)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (121 enodes) * * [misc]simplify: iters left: 2 (181 enodes) * * [misc]simplify: iters left: 1 (394 enodes) * [exit]simplify: Simplified to (/ (exp x) (- (* (exp x) (exp x)) (- (exp x) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (+ 1 (pow (exp x) 3))) (- (exp x) 1)) (/ (+ (exp x) 1) (sqrt (+ 1 (pow (exp x) 3))))) (/ (exp x) (- (* (exp x) (exp x)) (- (exp x) 1))))) * * * * [misc]progress: [ 714 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (sqrt (+ (pow (exp x) 3) (pow 1 3))))) (/ (- (exp (+ x x)) 1) (sqrt (- (* 1 1) (* (exp x) (exp x)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (157 enodes) * * [misc]simplify: iters left: 2 (429 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (+ 1 (pow (exp x) 3))) (- (exp (+ x x)) 1)) (sqrt (- 1 (exp (+ x x))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (sqrt (+ 1 (pow (exp x) 3))) (- (exp (+ x x)) 1)) (sqrt (- 1 (exp (+ x x))))) (/ (/ (exp x) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (sqrt (- 1 (exp x)))))) * [enter]simplify: Simplifying (/ (/ (exp x) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (sqrt (- 1 (exp x)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * * [misc]simplify: iters left: 2 (182 enodes) * * [misc]simplify: iters left: 1 (369 enodes) * [exit]simplify: Simplified to (/ (/ (exp x) (sqrt (- 1 (exp x)))) (sqrt (+ (exp (+ x x)) (- 1 (exp x))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (sqrt (+ 1 (pow (exp x) 3))) (- (exp (+ x x)) 1)) (sqrt (- 1 (exp (+ x x))))) (/ (/ (exp x) (sqrt (- 1 (exp x)))) (sqrt (+ (exp (+ x x)) (- 1 (exp x))))))) * * * * [misc]progress: [ 715 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (sqrt (- (* (exp x) (exp x)) (* 1 1))))) (* (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))) (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (114 enodes) * * [misc]simplify: iters left: 2 (245 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (exp (+ x x)) 1)) (* (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))) (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (- (exp (+ x x)) 1)) (* (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))) (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))))) (/ (/ (exp x) (sqrt (- (exp x) 1))) (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (sqrt (- (exp x) 1))) (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (189 enodes) * [exit]simplify: Simplified to (/ (/ (exp x) (sqrt (- (exp x) 1))) (cbrt (/ (- (* (exp x) (exp x)) 1) (sqrt (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (- (exp (+ x x)) 1)) (* (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))) (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))))) (/ (/ (exp x) (sqrt (- (exp x) 1))) (cbrt (/ (- (* (exp x) (exp x)) 1) (sqrt (+ 1 (exp x)))))))) * * * * [misc]progress: [ 716 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (sqrt (- (* (exp x) (exp x)) (* 1 1))))) (sqrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (112 enodes) * * [misc]simplify: iters left: 1 (188 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) (/ (/ (exp x) (sqrt (- (exp x) 1))) (sqrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (sqrt (- (exp x) 1))) (sqrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (189 enodes) * [exit]simplify: Simplified to (/ (/ (exp x) (sqrt (- (exp x) 1))) (sqrt (/ (- (* (exp x) (exp x)) 1) (sqrt (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) (/ (/ (exp x) (sqrt (- (exp x) 1))) (sqrt (/ (- (* (exp x) (exp x)) 1) (sqrt (+ 1 (exp x)))))))) * * * * [misc]progress: [ 717 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (sqrt (- (* (exp x) (exp x)) (* 1 1))))) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (90 enodes) * * [misc]simplify: iters left: 3 (259 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (exp (+ x x)) 1)) (/ (cbrt (- (exp (+ x x)) 1)) (cbrt (sqrt (+ 1 (exp x)))))) (/ (cbrt (- (exp (+ x x)) 1)) (cbrt (sqrt (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (sqrt (- (exp (+ x x)) 1)) (/ (cbrt (- (exp (+ x x)) 1)) (cbrt (sqrt (+ 1 (exp x)))))) (/ (cbrt (- (exp (+ x x)) 1)) (cbrt (sqrt (+ 1 (exp x)))))) (/ (/ (exp x) (sqrt (- (exp x) 1))) (/ (cbrt (- (exp (+ x x)) 1)) (cbrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (sqrt (- (exp x) 1))) (/ (cbrt (- (exp (+ x x)) 1)) (cbrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (98 enodes) * * [misc]simplify: iters left: 1 (215 enodes) * [exit]simplify: Simplified to (/ (/ (exp x) (cbrt (- (* (exp x) (exp x)) 1))) (/ (sqrt (- (exp x) 1)) (cbrt (sqrt (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (- (exp (+ x x)) 1)) (/ (cbrt (- (exp (+ x x)) 1)) (cbrt (sqrt (+ 1 (exp x)))))) (/ (cbrt (- (exp (+ x x)) 1)) (cbrt (sqrt (+ 1 (exp x)))))) (/ (/ (exp x) (cbrt (- (* (exp x) (exp x)) 1))) (/ (sqrt (- (exp x) 1)) (cbrt (sqrt (+ 1 (exp x)))))))) * * * * [misc]progress: [ 718 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (sqrt (- (* (exp x) (exp x)) (* 1 1))))) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (sqrt (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (170 enodes) * * [misc]simplify: iters left: 2 (483 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (/ (fabs (cbrt (+ 1 (exp x)))) (cbrt (- (exp (+ x x)) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (sqrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (/ (fabs (cbrt (+ 1 (exp x)))) (cbrt (- (exp (+ x x)) 1)))) (/ (/ (exp x) (sqrt (- (exp x) 1))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (cbrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (sqrt (- (exp x) 1))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (cbrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (98 enodes) * * [misc]simplify: iters left: 1 (215 enodes) * [exit]simplify: Simplified to (/ (/ (exp x) (cbrt (- (* (exp x) (exp x)) 1))) (/ (sqrt (- (exp x) 1)) (sqrt (cbrt (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (sqrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (/ (fabs (cbrt (+ 1 (exp x)))) (cbrt (- (exp (+ x x)) 1)))) (/ (/ (exp x) (cbrt (- (* (exp x) (exp x)) 1))) (/ (sqrt (- (exp x) 1)) (sqrt (cbrt (+ 1 (exp x)))))))) * * * * [misc]progress: [ 719 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (sqrt (- (* (exp x) (exp x)) (* 1 1))))) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (167 enodes) * * [misc]simplify: iters left: 2 (493 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ 1 (exp x)))) (cbrt (- (exp (+ x x)) 1))) (/ (sqrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (sqrt (sqrt (+ 1 (exp x)))) (cbrt (- (exp (+ x x)) 1))) (/ (sqrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1)))) (/ (/ (exp x) (sqrt (- (exp x) 1))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (sqrt (- (exp x) 1))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (98 enodes) * * [misc]simplify: iters left: 1 (215 enodes) * [exit]simplify: Simplified to (/ (/ (exp x) (cbrt (- (* (exp x) (exp x)) 1))) (/ (sqrt (- (exp x) 1)) (sqrt (sqrt (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (sqrt (sqrt (+ 1 (exp x)))) (cbrt (- (exp (+ x x)) 1))) (/ (sqrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1)))) (/ (/ (exp x) (cbrt (- (* (exp x) (exp x)) 1))) (/ (sqrt (- (exp x) 1)) (sqrt (sqrt (+ 1 (exp x)))))))) * * * * [misc]progress: [ 720 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (sqrt (- (* (exp x) (exp x)) (* 1 1))))) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (sqrt 1))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (168 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (sqrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt 1))) (/ (/ (exp x) (sqrt (- (exp x) 1))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (sqrt (- (exp x) 1))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (214 enodes) * [exit]simplify: Simplified to (* (sqrt (+ 1 (exp x))) (/ (/ (exp x) (sqrt (- (exp x) 1))) (cbrt (- (* (exp x) (exp x)) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt 1))) (* (sqrt (+ 1 (exp x))) (/ (/ (exp x) (sqrt (- (exp x) 1))) (cbrt (- (* (exp x) (exp x)) 1)))))) * * * * [misc]progress: [ 721 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (sqrt (- (* (exp x) (exp x)) (* 1 1))))) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (167 enodes) * * [misc]simplify: iters left: 2 (493 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ 1 (exp x)))) (cbrt (- (exp (+ x x)) 1))) (/ (sqrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (sqrt (sqrt (+ 1 (exp x)))) (cbrt (- (exp (+ x x)) 1))) (/ (sqrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1)))) (/ (/ (exp x) (sqrt (- (exp x) 1))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (sqrt (- (exp x) 1))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (98 enodes) * * [misc]simplify: iters left: 1 (215 enodes) * [exit]simplify: Simplified to (/ (/ (exp x) (cbrt (- (* (exp x) (exp x)) 1))) (/ (sqrt (- (exp x) 1)) (sqrt (sqrt (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (sqrt (sqrt (+ 1 (exp x)))) (cbrt (- (exp (+ x x)) 1))) (/ (sqrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1)))) (/ (/ (exp x) (cbrt (- (* (exp x) (exp x)) 1))) (/ (sqrt (- (exp x) 1)) (sqrt (sqrt (+ 1 (exp x)))))))) * * * * [misc]progress: [ 722 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (sqrt (- (* (exp x) (exp x)) (* 1 1))))) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) 1)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (121 enodes) * * [misc]simplify: iters left: 2 (254 enodes) * * [misc]simplify: iters left: 1 (395 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (exp (+ x x)) 1)) (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (- (exp (+ x x)) 1)) (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1)))) (/ (/ (exp x) (sqrt (- (exp x) 1))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (sqrt (- (exp x) 1))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (214 enodes) * [exit]simplify: Simplified to (* (sqrt (+ 1 (exp x))) (/ (/ (exp x) (sqrt (- (exp x) 1))) (cbrt (- (* (exp x) (exp x)) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (- (exp (+ x x)) 1)) (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1)))) (* (sqrt (+ 1 (exp x))) (/ (/ (exp x) (sqrt (- (exp x) 1))) (cbrt (- (* (exp x) (exp x)) 1)))))) * * * * [misc]progress: [ 723 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (sqrt (- (* (exp x) (exp x)) (* 1 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (206 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))) (/ (/ (exp x) (sqrt (- (exp x) 1))) (/ (sqrt (- (exp (+ x x)) 1)) (cbrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (sqrt (- (exp x) 1))) (/ (sqrt (- (exp (+ x x)) 1)) (cbrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (98 enodes) * * [misc]simplify: iters left: 1 (215 enodes) * [exit]simplify: Simplified to (/ (/ (exp x) (sqrt (- (* (exp x) (exp x)) 1))) (/ (sqrt (- (exp x) 1)) (cbrt (sqrt (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))) (/ (/ (exp x) (sqrt (- (* (exp x) (exp x)) 1))) (/ (sqrt (- (exp x) 1)) (cbrt (sqrt (+ 1 (exp x)))))))) * * * * [misc]progress: [ 724 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (sqrt (- (* (exp x) (exp x)) (* 1 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (125 enodes) * * [misc]simplify: iters left: 2 (276 enodes) * [exit]simplify: Simplified to (fabs (cbrt (+ 1 (exp x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (fabs (cbrt (+ 1 (exp x)))) (/ (/ (exp x) (sqrt (- (exp x) 1))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (cbrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (sqrt (- (exp x) 1))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (cbrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (98 enodes) * * [misc]simplify: iters left: 1 (215 enodes) * [exit]simplify: Simplified to (/ (/ (exp x) (sqrt (- (* (exp x) (exp x)) 1))) (/ (sqrt (- (exp x) 1)) (sqrt (cbrt (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (fabs (cbrt (+ 1 (exp x)))) (/ (/ (exp x) (sqrt (- (* (exp x) (exp x)) 1))) (/ (sqrt (- (exp x) 1)) (sqrt (cbrt (+ 1 (exp x)))))))) * * * * [misc]progress: [ 725 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (sqrt (- (* (exp x) (exp x)) (* 1 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (122 enodes) * * [misc]simplify: iters left: 2 (266 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ 1 (exp x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (sqrt (sqrt (+ 1 (exp x)))) (/ (/ (exp x) (sqrt (- (exp x) 1))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (sqrt (- (exp x) 1))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (98 enodes) * * [misc]simplify: iters left: 1 (215 enodes) * [exit]simplify: Simplified to (/ (/ (exp x) (sqrt (- (* (exp x) (exp x)) 1))) (/ (sqrt (- (exp x) 1)) (sqrt (sqrt (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (sqrt (sqrt (+ 1 (exp x)))) (/ (/ (exp x) (sqrt (- (* (exp x) (exp x)) 1))) (/ (sqrt (- (exp x) 1)) (sqrt (sqrt (+ 1 (exp x)))))))) * * * * [misc]progress: [ 726 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (sqrt (- (* (exp x) (exp x)) (* 1 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (122 enodes) * * [misc]simplify: iters left: 2 (318 enodes) * [exit]simplify: Simplified to (sqrt 1) * [misc]simplify: Simplified (2 1) to (λ (x) (* (sqrt 1) (/ (/ (exp x) (sqrt (- (exp x) 1))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (sqrt (- (exp x) 1))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (214 enodes) * [exit]simplify: Simplified to (* (sqrt (+ 1 (exp x))) (/ (/ (exp x) (sqrt (- (exp x) 1))) (sqrt (- (* (exp x) (exp x)) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (sqrt 1) (* (sqrt (+ 1 (exp x))) (/ (/ (exp x) (sqrt (- (exp x) 1))) (sqrt (- (* (exp x) (exp x)) 1)))))) * * * * [misc]progress: [ 727 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (sqrt (- (* (exp x) (exp x)) (* 1 1))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (122 enodes) * * [misc]simplify: iters left: 2 (266 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ 1 (exp x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (sqrt (sqrt (+ 1 (exp x)))) (/ (/ (exp x) (sqrt (- (exp x) 1))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (sqrt (- (exp x) 1))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (98 enodes) * * [misc]simplify: iters left: 1 (215 enodes) * [exit]simplify: Simplified to (/ (/ (exp x) (sqrt (- (* (exp x) (exp x)) 1))) (/ (sqrt (- (exp x) 1)) (sqrt (sqrt (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (sqrt (sqrt (+ 1 (exp x)))) (/ (/ (exp x) (sqrt (- (* (exp x) (exp x)) 1))) (/ (sqrt (- (exp x) 1)) (sqrt (sqrt (+ 1 (exp x)))))))) * * * * [misc]progress: [ 728 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (sqrt (- (* (exp x) (exp x)) (* 1 1))))) (/ (sqrt (- (exp (+ x x)) 1)) 1)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (80 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (x) (* 1 (/ (/ (exp x) (sqrt (- (exp x) 1))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (sqrt (- (exp x) 1))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (214 enodes) * [exit]simplify: Simplified to (* (sqrt (+ 1 (exp x))) (/ (/ (exp x) (sqrt (- (exp x) 1))) (sqrt (- (* (exp x) (exp x)) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* 1 (* (sqrt (+ 1 (exp x))) (/ (/ (exp x) (sqrt (- (exp x) 1))) (sqrt (- (* (exp x) (exp x)) 1)))))) * * * * [misc]progress: [ 729 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (sqrt (- (* (exp x) (exp x)) (* 1 1))))) (/ 1 (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (105 enodes) * * [misc]simplify: iters left: 2 (175 enodes) * * [misc]simplify: iters left: 1 (324 enodes) * [exit]simplify: Simplified to (* (* (cbrt (sqrt (+ (exp x) 1))) (sqrt (- (exp (+ x x)) 1))) (cbrt (sqrt (+ (exp x) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (* (cbrt (sqrt (+ (exp x) 1))) (sqrt (- (exp (+ x x)) 1))) (cbrt (sqrt (+ (exp x) 1)))) (/ (/ (exp x) (sqrt (- (exp x) 1))) (/ (- (exp (+ x x)) 1) (cbrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (sqrt (- (exp x) 1))) (/ (- (exp (+ x x)) 1) (cbrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (203 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 (exp x)))) (* (sqrt (- (exp x) 1)) (+ 1 (exp x)))) (/ (exp x) (- (exp x) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (* (cbrt (sqrt (+ (exp x) 1))) (sqrt (- (exp (+ x x)) 1))) (cbrt (sqrt (+ (exp x) 1)))) (* (/ (cbrt (sqrt (+ 1 (exp x)))) (* (sqrt (- (exp x) 1)) (+ 1 (exp x)))) (/ (exp x) (- (exp x) 1))))) * * * * [misc]progress: [ 730 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (sqrt (- (* (exp x) (exp x)) (* 1 1))))) (/ 1 (sqrt (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (100 enodes) * * [misc]simplify: iters left: 1 (127 enodes) * [exit]simplify: Simplified to (* (fabs (cbrt (+ (exp x) 1))) (sqrt (- (exp (+ x x)) 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (fabs (cbrt (+ (exp x) 1))) (sqrt (- (exp (+ x x)) 1))) (/ (/ (exp x) (sqrt (- (exp x) 1))) (/ (- (exp (+ x x)) 1) (sqrt (cbrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (sqrt (- (exp x) 1))) (/ (- (exp (+ x x)) 1) (sqrt (cbrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (203 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (cbrt (+ 1 (exp x)))) (* (sqrt (- (exp x) 1)) (+ 1 (exp x)))) (/ (exp x) (- (exp x) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (fabs (cbrt (+ (exp x) 1))) (sqrt (- (exp (+ x x)) 1))) (* (/ (sqrt (cbrt (+ 1 (exp x)))) (* (sqrt (- (exp x) 1)) (+ 1 (exp x)))) (/ (exp x) (- (exp x) 1))))) * * * * [misc]progress: [ 731 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (sqrt (- (* (exp x) (exp x)) (* 1 1))))) (/ 1 (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (112 enodes) * * [misc]simplify: iters left: 1 (139 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ (exp x) 1))) (sqrt (- (exp (+ x x)) 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (sqrt (sqrt (+ (exp x) 1))) (sqrt (- (exp (+ x x)) 1))) (/ (/ (exp x) (sqrt (- (exp x) 1))) (/ (- (exp (+ x x)) 1) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (sqrt (- (exp x) 1))) (/ (- (exp (+ x x)) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (203 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ 1 (exp x)))) (* (sqrt (- (exp x) 1)) (+ 1 (exp x)))) (/ (exp x) (- (exp x) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt (sqrt (+ (exp x) 1))) (sqrt (- (exp (+ x x)) 1))) (* (/ (sqrt (sqrt (+ 1 (exp x)))) (* (sqrt (- (exp x) 1)) (+ 1 (exp x)))) (/ (exp x) (- (exp x) 1))))) * * * * [misc]progress: [ 732 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (sqrt (- (* (exp x) (exp x)) (* 1 1))))) (/ 1 (sqrt 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * * [misc]simplify: iters left: 1 (132 enodes) * [exit]simplify: Simplified to (* (sqrt 1) (sqrt (- (exp (+ x x)) 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (sqrt 1) (sqrt (- (exp (+ x x)) 1))) (/ (/ (exp x) (sqrt (- (exp x) 1))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (sqrt (- (exp x) 1))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (202 enodes) * [exit]simplify: Simplified to (* (/ (/ (exp x) (- (exp x) 1)) (sqrt (- (exp x) 1))) (/ (sqrt (+ 1 (exp x))) (+ 1 (exp x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt 1) (sqrt (- (exp (+ x x)) 1))) (* (/ (/ (exp x) (- (exp x) 1)) (sqrt (- (exp x) 1))) (/ (sqrt (+ 1 (exp x))) (+ 1 (exp x)))))) * * * * [misc]progress: [ 733 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (sqrt (- (* (exp x) (exp x)) (* 1 1))))) (/ 1 (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (112 enodes) * * [misc]simplify: iters left: 1 (139 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ (exp x) 1))) (sqrt (- (exp (+ x x)) 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (sqrt (sqrt (+ (exp x) 1))) (sqrt (- (exp (+ x x)) 1))) (/ (/ (exp x) (sqrt (- (exp x) 1))) (/ (- (exp (+ x x)) 1) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (sqrt (- (exp x) 1))) (/ (- (exp (+ x x)) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (203 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ 1 (exp x)))) (* (sqrt (- (exp x) 1)) (+ 1 (exp x)))) (/ (exp x) (- (exp x) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt (sqrt (+ (exp x) 1))) (sqrt (- (exp (+ x x)) 1))) (* (/ (sqrt (sqrt (+ 1 (exp x)))) (* (sqrt (- (exp x) 1)) (+ 1 (exp x)))) (/ (exp x) (- (exp x) 1))))) * * * * [misc]progress: [ 734 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (sqrt (- (* (exp x) (exp x)) (* 1 1))))) (/ 1 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (sqrt (- (exp (+ x x)) 1)) * [misc]simplify: Simplified (2 1) to (λ (x) (* (sqrt (- (exp (+ x x)) 1)) (/ (/ (exp x) (sqrt (- (exp x) 1))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (sqrt (- (exp x) 1))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (202 enodes) * [exit]simplify: Simplified to (* (/ (/ (exp x) (- (exp x) 1)) (sqrt (- (exp x) 1))) (/ (sqrt (+ 1 (exp x))) (+ 1 (exp x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (sqrt (- (exp (+ x x)) 1)) (* (/ (/ (exp x) (- (exp x) 1)) (sqrt (- (exp x) 1))) (/ (sqrt (+ 1 (exp x))) (+ 1 (exp x)))))) * * * * [misc]progress: [ 735 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (sqrt (- (* (exp x) (exp x)) (* 1 1))))) (/ (+ (exp x) 1) (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (148 enodes) * * [misc]simplify: iters left: 2 (352 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 (exp x)))) (+ 1 (exp x))) (* (sqrt (- (exp (+ x x)) 1)) (cbrt (sqrt (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (cbrt (sqrt (+ 1 (exp x)))) (+ 1 (exp x))) (* (sqrt (- (exp (+ x x)) 1)) (cbrt (sqrt (+ 1 (exp x)))))) (/ (/ (exp x) (sqrt (- (exp x) 1))) (/ (- (exp x) 1) (cbrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (sqrt (- (exp x) 1))) (/ (- (exp x) 1) (cbrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (122 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (+ (exp x) 1))) (/ (sqrt (- (exp x) 1)) (/ (exp x) (- (exp x) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (cbrt (sqrt (+ 1 (exp x)))) (+ 1 (exp x))) (* (sqrt (- (exp (+ x x)) 1)) (cbrt (sqrt (+ 1 (exp x)))))) (/ (cbrt (sqrt (+ (exp x) 1))) (/ (sqrt (- (exp x) 1)) (/ (exp x) (- (exp x) 1)))))) * * * * [misc]progress: [ 736 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (sqrt (- (* (exp x) (exp x)) (* 1 1))))) (/ (+ (exp x) 1) (sqrt (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (194 enodes) * * [misc]simplify: iters left: 1 (314 enodes) * [exit]simplify: Simplified to (* (/ (fabs (cbrt (+ (exp x) 1))) (+ (exp x) 1)) (sqrt (- (exp (+ x x)) 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (fabs (cbrt (+ (exp x) 1))) (+ (exp x) 1)) (sqrt (- (exp (+ x x)) 1))) (/ (/ (exp x) (sqrt (- (exp x) 1))) (/ (- (exp x) 1) (sqrt (cbrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (sqrt (- (exp x) 1))) (/ (- (exp x) 1) (sqrt (cbrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (122 enodes) * [exit]simplify: Simplified to (/ (sqrt (cbrt (+ (exp x) 1))) (/ (sqrt (- (exp x) 1)) (/ (exp x) (- (exp x) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (fabs (cbrt (+ (exp x) 1))) (+ (exp x) 1)) (sqrt (- (exp (+ x x)) 1))) (/ (sqrt (cbrt (+ (exp x) 1))) (/ (sqrt (- (exp x) 1)) (/ (exp x) (- (exp x) 1)))))) * * * * [misc]progress: [ 737 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (sqrt (- (* (exp x) (exp x)) (* 1 1))))) (/ (+ (exp x) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (204 enodes) * * [misc]simplify: iters left: 1 (432 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (- (exp (+ x x)) 1)) (+ (exp x) 1)) (sqrt (sqrt (+ (exp x) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (sqrt (- (exp (+ x x)) 1)) (+ (exp x) 1)) (sqrt (sqrt (+ (exp x) 1)))) (/ (/ (exp x) (sqrt (- (exp x) 1))) (/ (- (exp x) 1) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (sqrt (- (exp x) 1))) (/ (- (exp x) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (122 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ (exp x) 1))) (/ (sqrt (- (exp x) 1)) (/ (exp x) (- (exp x) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (sqrt (- (exp (+ x x)) 1)) (+ (exp x) 1)) (sqrt (sqrt (+ (exp x) 1)))) (/ (sqrt (sqrt (+ (exp x) 1))) (/ (sqrt (- (exp x) 1)) (/ (exp x) (- (exp x) 1)))))) * * * * [misc]progress: [ 738 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (sqrt (- (* (exp x) (exp x)) (* 1 1))))) (/ (+ (exp x) 1) (sqrt 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (181 enodes) * * [misc]simplify: iters left: 1 (387 enodes) * [exit]simplify: Simplified to (* (/ (sqrt 1) (+ 1 (exp x))) (sqrt (- (exp (+ x x)) 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (sqrt 1) (+ 1 (exp x))) (sqrt (- (exp (+ x x)) 1))) (/ (/ (exp x) (sqrt (- (exp x) 1))) (/ (- (exp x) 1) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (sqrt (- (exp x) 1))) (/ (- (exp x) 1) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (88 enodes) * * [misc]simplify: iters left: 1 (119 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (+ (exp x) 1)) (- (exp x) 1)) (/ (exp x) (sqrt (- (exp x) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (sqrt 1) (+ 1 (exp x))) (sqrt (- (exp (+ x x)) 1))) (* (/ (sqrt (+ (exp x) 1)) (- (exp x) 1)) (/ (exp x) (sqrt (- (exp x) 1)))))) * * * * [misc]progress: [ 739 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (sqrt (- (* (exp x) (exp x)) (* 1 1))))) (/ (+ (exp x) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (204 enodes) * * [misc]simplify: iters left: 1 (432 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (- (exp (+ x x)) 1)) (+ (exp x) 1)) (sqrt (sqrt (+ (exp x) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (sqrt (- (exp (+ x x)) 1)) (+ (exp x) 1)) (sqrt (sqrt (+ (exp x) 1)))) (/ (/ (exp x) (sqrt (- (exp x) 1))) (/ (- (exp x) 1) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (sqrt (- (exp x) 1))) (/ (- (exp x) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (122 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ (exp x) 1))) (/ (sqrt (- (exp x) 1)) (/ (exp x) (- (exp x) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (sqrt (- (exp (+ x x)) 1)) (+ (exp x) 1)) (sqrt (sqrt (+ (exp x) 1)))) (/ (sqrt (sqrt (+ (exp x) 1))) (/ (sqrt (- (exp x) 1)) (/ (exp x) (- (exp x) 1)))))) * * * * [misc]progress: [ 740 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (sqrt (- (* (exp x) (exp x)) (* 1 1))))) (/ (+ (exp x) 1) 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (108 enodes) * * [misc]simplify: iters left: 1 (233 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (exp (+ x x)) 1)) (+ 1 (exp x))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (- (exp (+ x x)) 1)) (+ 1 (exp x))) (/ (/ (exp x) (sqrt (- (exp x) 1))) (/ (- (exp x) 1) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (sqrt (- (exp x) 1))) (/ (- (exp x) 1) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (88 enodes) * * [misc]simplify: iters left: 1 (119 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (+ (exp x) 1)) (- (exp x) 1)) (/ (exp x) (sqrt (- (exp x) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (- (exp (+ x x)) 1)) (+ 1 (exp x))) (* (/ (sqrt (+ (exp x) 1)) (- (exp x) 1)) (/ (exp x) (sqrt (- (exp x) 1)))))) * * * * [misc]progress: [ 741 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (sqrt (- (* (exp x) (exp x)) (* 1 1))))) (/ (+ (sqrt (exp (+ x x))) 1) (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (130 enodes) * * [misc]simplify: iters left: 2 (304 enodes) * [exit]simplify: Simplified to (* (* (sqrt (- (exp (+ x x)) 1)) (cbrt (sqrt (+ 1 (exp x))))) (/ (cbrt (sqrt (+ 1 (exp x)))) (+ 1 (fabs (exp x))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (* (sqrt (- (exp (+ x x)) 1)) (cbrt (sqrt (+ 1 (exp x))))) (/ (cbrt (sqrt (+ 1 (exp x)))) (+ 1 (fabs (exp x))))) (/ (/ (exp x) (sqrt (- (exp x) 1))) (/ (- (sqrt (exp (+ x x))) 1) (cbrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (sqrt (- (exp x) 1))) (/ (- (sqrt (exp (+ x x))) 1) (cbrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (128 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (+ (exp x) 1))) (* (/ (sqrt (- (exp x) 1)) (exp x)) (- (fabs (exp x)) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (* (sqrt (- (exp (+ x x)) 1)) (cbrt (sqrt (+ 1 (exp x))))) (/ (cbrt (sqrt (+ 1 (exp x)))) (+ 1 (fabs (exp x))))) (/ (cbrt (sqrt (+ (exp x) 1))) (* (/ (sqrt (- (exp x) 1)) (exp x)) (- (fabs (exp x)) 1))))) * * * * [misc]progress: [ 742 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (sqrt (- (* (exp x) (exp x)) (* 1 1))))) (/ (+ (sqrt (exp (+ x x))) 1) (sqrt (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (170 enodes) * * [misc]simplify: iters left: 1 (271 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (exp (+ x x)) 1)) (/ (+ 1 (fabs (exp x))) (fabs (cbrt (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (- (exp (+ x x)) 1)) (/ (+ 1 (fabs (exp x))) (fabs (cbrt (+ 1 (exp x)))))) (/ (/ (exp x) (sqrt (- (exp x) 1))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (cbrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (sqrt (- (exp x) 1))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (cbrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (128 enodes) * [exit]simplify: Simplified to (/ (sqrt (cbrt (+ (exp x) 1))) (* (/ (sqrt (- (exp x) 1)) (exp x)) (- (fabs (exp x)) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (- (exp (+ x x)) 1)) (/ (+ 1 (fabs (exp x))) (fabs (cbrt (+ 1 (exp x)))))) (/ (sqrt (cbrt (+ (exp x) 1))) (* (/ (sqrt (- (exp x) 1)) (exp x)) (- (fabs (exp x)) 1))))) * * * * [misc]progress: [ 743 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (sqrt (- (* (exp x) (exp x)) (* 1 1))))) (/ (+ (sqrt (exp (+ x x))) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (96 enodes) * * [misc]simplify: iters left: 2 (186 enodes) * * [misc]simplify: iters left: 1 (391 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ (exp x) 1)))) (+ 1 (fabs (exp x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ (exp x) 1)))) (+ 1 (fabs (exp x)))) (/ (/ (exp x) (sqrt (- (exp x) 1))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (sqrt (- (exp x) 1))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (128 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ (exp x) 1))) (* (/ (sqrt (- (exp x) 1)) (exp x)) (- (fabs (exp x)) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ (exp x) 1)))) (+ 1 (fabs (exp x)))) (/ (sqrt (sqrt (+ (exp x) 1))) (* (/ (sqrt (- (exp x) 1)) (exp x)) (- (fabs (exp x)) 1))))) * * * * [misc]progress: [ 744 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (sqrt (- (* (exp x) (exp x)) (* 1 1))))) (/ (+ (sqrt (exp (+ x x))) 1) (sqrt 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * * [misc]simplify: iters left: 2 (184 enodes) * * [misc]simplify: iters left: 1 (375 enodes) * [exit]simplify: Simplified to (* (/ (sqrt 1) (+ 1 (fabs (exp x)))) (sqrt (- (exp (+ x x)) 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (sqrt 1) (+ 1 (fabs (exp x)))) (sqrt (- (exp (+ x x)) 1))) (/ (/ (exp x) (sqrt (- (exp x) 1))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (sqrt (- (exp x) 1))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (127 enodes) * [exit]simplify: Simplified to (/ (/ (exp x) (- (fabs (exp x)) 1)) (/ (sqrt (- (exp x) 1)) (sqrt (+ (exp x) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (sqrt 1) (+ 1 (fabs (exp x)))) (sqrt (- (exp (+ x x)) 1))) (/ (/ (exp x) (- (fabs (exp x)) 1)) (/ (sqrt (- (exp x) 1)) (sqrt (+ (exp x) 1)))))) * * * * [misc]progress: [ 745 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (sqrt (- (* (exp x) (exp x)) (* 1 1))))) (/ (+ (sqrt (exp (+ x x))) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (96 enodes) * * [misc]simplify: iters left: 2 (186 enodes) * * [misc]simplify: iters left: 1 (391 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ (exp x) 1)))) (+ 1 (fabs (exp x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ (exp x) 1)))) (+ 1 (fabs (exp x)))) (/ (/ (exp x) (sqrt (- (exp x) 1))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (sqrt (- (exp x) 1))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (128 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ (exp x) 1))) (* (/ (sqrt (- (exp x) 1)) (exp x)) (- (fabs (exp x)) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ (exp x) 1)))) (+ 1 (fabs (exp x)))) (/ (sqrt (sqrt (+ (exp x) 1))) (* (/ (sqrt (- (exp x) 1)) (exp x)) (- (fabs (exp x)) 1))))) * * * * [misc]progress: [ 746 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (sqrt (- (* (exp x) (exp x)) (* 1 1))))) (/ (+ (sqrt (exp (+ x x))) 1) 1)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (154 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (exp (+ x x)) 1)) (+ 1 (fabs (exp x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (- (exp (+ x x)) 1)) (+ 1 (fabs (exp x)))) (/ (/ (exp x) (sqrt (- (exp x) 1))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (sqrt (- (exp x) 1))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (127 enodes) * [exit]simplify: Simplified to (/ (/ (exp x) (- (fabs (exp x)) 1)) (/ (sqrt (- (exp x) 1)) (sqrt (+ (exp x) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (- (exp (+ x x)) 1)) (+ 1 (fabs (exp x)))) (/ (/ (exp x) (- (fabs (exp x)) 1)) (/ (sqrt (- (exp x) 1)) (sqrt (+ (exp x) 1)))))) * * * * [misc]progress: [ 747 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (sqrt (- (* (exp x) (exp x)) (* 1 1))))) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (sqrt (- (exp (+ x x)) 1)) * [misc]simplify: Simplified (2 1) to (λ (x) (* (sqrt (- (exp (+ x x)) 1)) (/ (/ (exp x) (sqrt (- (exp x) 1))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (sqrt (- (exp x) 1))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (202 enodes) * [exit]simplify: Simplified to (* (/ (/ (exp x) (- (exp x) 1)) (sqrt (- (exp x) 1))) (/ (sqrt (+ 1 (exp x))) (+ 1 (exp x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (sqrt (- (exp (+ x x)) 1)) (* (/ (/ (exp x) (- (exp x) 1)) (sqrt (- (exp x) 1))) (/ (sqrt (+ 1 (exp x))) (+ 1 (exp x)))))) * * * * [misc]progress: [ 748 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (sqrt (- (* (exp x) (exp x)) (* 1 1))))) (- (exp (+ x x)) 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (165 enodes) * * [misc]simplify: iters left: 1 (443 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (exp (+ x x)) 1)) (- (exp (+ x x)) 1)) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (- (exp (+ x x)) 1)) (- (exp (+ x x)) 1)) (/ (/ (exp x) (sqrt (- (exp x) 1))) (/ 1 (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (sqrt (- (exp x) 1))) (/ 1 (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (162 enodes) * [exit]simplify: Simplified to (/ (* (exp x) (sqrt (+ (exp x) 1))) (sqrt (- (exp x) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (- (exp (+ x x)) 1)) (- (exp (+ x x)) 1)) (/ (* (exp x) (sqrt (+ (exp x) 1))) (sqrt (- (exp x) 1))))) * * * * [misc]progress: [ 749 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (sqrt (- (* (exp x) (exp x)) (* 1 1))))) (/ (- (exp (+ x x)) 1) (sqrt (+ (pow 1 3) (pow (exp x) 3))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (152 enodes) * * [misc]simplify: iters left: 2 (425 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (exp (+ x x)) 1)) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (pow (exp x) 3))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (- (exp (+ x x)) 1)) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (pow (exp x) 3))))) (/ (/ (exp x) (sqrt (- (exp x) 1))) (sqrt (+ (* 1 1) (- (* (exp x) (exp x)) (* 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (sqrt (- (exp x) 1))) (sqrt (+ (* 1 1) (- (* (exp x) (exp x)) (* 1 (exp x)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (113 enodes) * * [misc]simplify: iters left: 2 (206 enodes) * * [misc]simplify: iters left: 1 (326 enodes) * [exit]simplify: Simplified to (/ (/ (exp x) (sqrt (- (exp x) 1))) (sqrt (- (* (exp x) (exp x)) (- (exp x) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (- (exp (+ x x)) 1)) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (pow (exp x) 3))))) (/ (/ (exp x) (sqrt (- (exp x) 1))) (sqrt (- (* (exp x) (exp x)) (- (exp x) 1)))))) * * * * [misc]progress: [ 750 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (sqrt (- (* (exp x) (exp x)) (* 1 1))))) (/ (- (exp (+ x x)) 1) (sqrt (- (* 1 1) (* (exp x) (exp x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (147 enodes) * * [misc]simplify: iters left: 2 (421 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (- (exp (+ x x)) 1)) (- (exp (+ x x)) 1)) (sqrt (- 1 (exp (+ x x))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (sqrt (- (exp (+ x x)) 1)) (- (exp (+ x x)) 1)) (sqrt (- 1 (exp (+ x x))))) (/ (/ (exp x) (sqrt (- (exp x) 1))) (sqrt (- 1 (exp x)))))) * [enter]simplify: Simplifying (/ (/ (exp x) (sqrt (- (exp x) 1))) (sqrt (- 1 (exp x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (/ (exp x) (sqrt (- (exp x) 1))) (sqrt (- 1 (exp x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (sqrt (- (exp (+ x x)) 1)) (- (exp (+ x x)) 1)) (sqrt (- 1 (exp (+ x x))))) (/ (/ (exp x) (sqrt (- (exp x) 1))) (sqrt (- 1 (exp x)))))) * * * * [misc]progress: [ 751 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))) (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (97 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (/ (- (* (exp x) (exp x)) 1) (sqrt (+ (exp x) 1)))) (cbrt (/ (- (* (exp x) (exp x)) 1) (sqrt (+ (exp x) 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ 1 (* (cbrt (/ (- (* (exp x) (exp x)) 1) (sqrt (+ (exp x) 1)))) (cbrt (/ (- (* (exp x) (exp x)) 1) (sqrt (+ (exp x) 1)))))) (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (166 enodes) * [exit]simplify: Simplified to (/ (* (exp x) (sqrt (+ (exp x) 1))) (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ 1 (* (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))) (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))))) (/ (* (exp x) (sqrt (+ (exp x) 1))) (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 752 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (94 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (/ (- (* (exp x) (exp x)) 1) (sqrt (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ 1 (sqrt (/ (- (* (exp x) (exp x)) 1) (sqrt (+ 1 (exp x)))))) (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (sqrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (sqrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (166 enodes) * [exit]simplify: Simplified to (/ (* (exp x) (sqrt (+ (exp x) 1))) (sqrt (/ (- (exp (+ x x)) 1) (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ 1 (sqrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) (/ (* (exp x) (sqrt (+ (exp x) 1))) (sqrt (/ (- (exp (+ x x)) 1) (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 753 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (185 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 (exp x)))) (cbrt (- (* (exp x) (exp x)) 1))) (/ (cbrt (sqrt (+ 1 (exp x)))) (cbrt (- (* (exp x) (exp x)) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (cbrt (sqrt (+ 1 (exp x)))) (cbrt (- (* (exp x) (exp x)) 1))) (/ (cbrt (sqrt (+ 1 (exp x)))) (cbrt (- (* (exp x) (exp x)) 1)))) (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (cbrt (- (exp (+ x x)) 1)) (cbrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (cbrt (- (exp (+ x x)) 1)) (cbrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (212 enodes) * * [misc]simplify: iters left: 1 (490 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ (exp x) 1))) (cbrt (- (exp (+ x x)) 1))) (* (sqrt (+ (exp x) 1)) (exp x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ 1 (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))))) (* (/ (cbrt (sqrt (+ (exp x) 1))) (cbrt (- (exp (+ x x)) 1))) (* (sqrt (+ (exp x) 1)) (exp x))))) * * * * [misc]progress: [ 754 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (sqrt (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (145 enodes) * [exit]simplify: Simplified to (/ (/ (fabs (cbrt (+ (exp x) 1))) (cbrt (- (* (exp x) (exp x)) 1))) (cbrt (- (* (exp x) (exp x)) 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (fabs (cbrt (+ (exp x) 1))) (cbrt (- (* (exp x) (exp x)) 1))) (cbrt (- (* (exp x) (exp x)) 1))) (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (cbrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (cbrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (225 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (+ (exp x) 1)) (cbrt (- (exp (+ x x)) 1))) (* (sqrt (cbrt (+ (exp x) 1))) (exp x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (fabs (cbrt (+ (exp x) 1))) (cbrt (- (* (exp x) (exp x)) 1))) (cbrt (- (* (exp x) (exp x)) 1))) (* (/ (sqrt (+ (exp x) 1)) (cbrt (- (exp (+ x x)) 1))) (* (sqrt (cbrt (+ (exp x) 1))) (exp x))))) * * * * [misc]progress: [ 755 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (111 enodes) * * [misc]simplify: iters left: 1 (231 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 (exp x)))) (* (cbrt (- (* (exp x) (exp x)) 1)) (cbrt (- (* (exp x) (exp x)) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (sqrt (+ 1 (exp x)))) (* (cbrt (- (* (exp x) (exp x)) 1)) (cbrt (- (* (exp x) (exp x)) 1)))) (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (212 enodes) * * [misc]simplify: iters left: 1 (490 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ (exp x) 1))) (cbrt (- (exp (+ x x)) 1))) (* (sqrt (+ (exp x) 1)) (exp x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ 1 (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (sqrt (sqrt (+ 1 (exp x)))))) (* (/ (sqrt (sqrt (+ (exp x) 1))) (cbrt (- (exp (+ x x)) 1))) (* (sqrt (+ (exp x) 1)) (exp x))))) * * * * [misc]progress: [ 756 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (sqrt 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (107 enodes) * * [misc]simplify: iters left: 1 (226 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt 1) (cbrt (- (* (exp x) (exp x)) 1))) (cbrt (- (* (exp x) (exp x)) 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (sqrt 1) (cbrt (- (* (exp x) (exp x)) 1))) (cbrt (- (* (exp x) (exp x)) 1))) (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (162 enodes) * * [misc]simplify: iters left: 1 (324 enodes) * [exit]simplify: Simplified to (/ (* (+ (exp x) 1) (exp x)) (cbrt (- (exp (+ x x)) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ 1 (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (sqrt 1))) (/ (* (+ (exp x) 1) (exp x)) (cbrt (- (exp (+ x x)) 1))))) * * * * [misc]progress: [ 757 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (111 enodes) * * [misc]simplify: iters left: 1 (231 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 (exp x)))) (* (cbrt (- (* (exp x) (exp x)) 1)) (cbrt (- (* (exp x) (exp x)) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (sqrt (+ 1 (exp x)))) (* (cbrt (- (* (exp x) (exp x)) 1)) (cbrt (- (* (exp x) (exp x)) 1)))) (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (212 enodes) * * [misc]simplify: iters left: 1 (490 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ (exp x) 1))) (cbrt (- (exp (+ x x)) 1))) (* (sqrt (+ (exp x) 1)) (exp x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ 1 (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (sqrt (sqrt (+ 1 (exp x)))))) (* (/ (sqrt (sqrt (+ (exp x) 1))) (cbrt (- (exp (+ x x)) 1))) (* (sqrt (+ (exp x) 1)) (exp x))))) * * * * [misc]progress: [ 758 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (93 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (- (* (exp x) (exp x)) 1))) (cbrt (- (* (exp x) (exp x)) 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ 1 (cbrt (- (* (exp x) (exp x)) 1))) (cbrt (- (* (exp x) (exp x)) 1))) (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (162 enodes) * * [misc]simplify: iters left: 1 (324 enodes) * [exit]simplify: Simplified to (/ (* (+ (exp x) 1) (exp x)) (cbrt (- (exp (+ x x)) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ 1 (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) 1)) (/ (* (+ (exp x) 1) (exp x)) (cbrt (- (exp (+ x x)) 1))))) * * * * [misc]progress: [ 759 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (sqrt (- (exp (+ x x)) 1)) (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (161 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ (exp x) 1))) (/ (cbrt (sqrt (+ (exp x) 1))) (sqrt (- (* (exp x) (exp x)) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (cbrt (sqrt (+ (exp x) 1))) (/ (cbrt (sqrt (+ (exp x) 1))) (sqrt (- (* (exp x) (exp x)) 1)))) (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (sqrt (- (exp (+ x x)) 1)) (cbrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (sqrt (- (exp (+ x x)) 1)) (cbrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (212 enodes) * * [misc]simplify: iters left: 1 (490 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ (exp x) 1))) (sqrt (- (exp (+ x x)) 1))) (* (sqrt (+ (exp x) 1)) (exp x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (cbrt (sqrt (+ (exp x) 1))) (/ (cbrt (sqrt (+ (exp x) 1))) (sqrt (- (* (exp x) (exp x)) 1)))) (* (/ (cbrt (sqrt (+ (exp x) 1))) (sqrt (- (exp (+ x x)) 1))) (* (sqrt (+ (exp x) 1)) (exp x))))) * * * * [misc]progress: [ 760 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (94 enodes) * [exit]simplify: Simplified to (/ (fabs (cbrt (+ (exp x) 1))) (sqrt (- (* (exp x) (exp x)) 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (fabs (cbrt (+ (exp x) 1))) (sqrt (- (* (exp x) (exp x)) 1))) (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (cbrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (cbrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (225 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (+ (exp x) 1)) (sqrt (- (exp (+ x x)) 1))) (* (sqrt (cbrt (+ (exp x) 1))) (exp x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (fabs (cbrt (+ (exp x) 1))) (sqrt (- (* (exp x) (exp x)) 1))) (* (/ (sqrt (+ (exp x) 1)) (sqrt (- (exp (+ x x)) 1))) (* (sqrt (cbrt (+ (exp x) 1))) (exp x))))) * * * * [misc]progress: [ 761 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (97 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 (exp x)))) (sqrt (- (* (exp x) (exp x)) 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (sqrt (+ 1 (exp x)))) (sqrt (- (* (exp x) (exp x)) 1))) (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (212 enodes) * * [misc]simplify: iters left: 1 (490 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ (exp x) 1))) (sqrt (- (exp (+ x x)) 1))) (* (sqrt (+ (exp x) 1)) (exp x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (sqrt (+ 1 (exp x)))) (sqrt (- (* (exp x) (exp x)) 1))) (* (/ (sqrt (sqrt (+ (exp x) 1))) (sqrt (- (exp (+ x x)) 1))) (* (sqrt (+ (exp x) 1)) (exp x))))) * * * * [misc]progress: [ 762 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (sqrt (- (exp (+ x x)) 1)) (sqrt 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (96 enodes) * [exit]simplify: Simplified to (/ (sqrt 1) (sqrt (- (* (exp x) (exp x)) 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt 1) (sqrt (- (* (exp x) (exp x)) 1))) (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (162 enodes) * * [misc]simplify: iters left: 1 (324 enodes) * [exit]simplify: Simplified to (/ (* (+ (exp x) 1) (exp x)) (sqrt (- (exp (+ x x)) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt 1) (sqrt (- (* (exp x) (exp x)) 1))) (/ (* (+ (exp x) 1) (exp x)) (sqrt (- (exp (+ x x)) 1))))) * * * * [misc]progress: [ 763 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (97 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 (exp x)))) (sqrt (- (* (exp x) (exp x)) 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (sqrt (+ 1 (exp x)))) (sqrt (- (* (exp x) (exp x)) 1))) (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (212 enodes) * * [misc]simplify: iters left: 1 (490 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ (exp x) 1))) (sqrt (- (exp (+ x x)) 1))) (* (sqrt (+ (exp x) 1)) (exp x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (sqrt (+ 1 (exp x)))) (sqrt (- (* (exp x) (exp x)) 1))) (* (/ (sqrt (sqrt (+ (exp x) 1))) (sqrt (- (exp (+ x x)) 1))) (* (sqrt (+ (exp x) 1)) (exp x))))) * * * * [misc]progress: [ 764 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (sqrt (- (exp (+ x x)) 1)) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (- (* (exp x) (exp x)) 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ 1 (sqrt (- (* (exp x) (exp x)) 1))) (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (162 enodes) * * [misc]simplify: iters left: 1 (324 enodes) * [exit]simplify: Simplified to (/ (* (+ (exp x) 1) (exp x)) (sqrt (- (exp (+ x x)) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ 1 (sqrt (- (* (exp x) (exp x)) 1))) (/ (* (+ (exp x) 1) (exp x)) (sqrt (- (exp (+ x x)) 1))))) * * * * [misc]progress: [ 765 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ 1 (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))) (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp (+ x x)) 1) (cbrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp (+ x x)) 1) (cbrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (149 enodes) * * [misc]simplify: iters left: 2 (415 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (+ 1 (exp x))) (+ 1 (exp x))) (* (cbrt (sqrt (+ 1 (exp x)))) (/ (exp x) (- (exp x) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))) (* (/ (sqrt (+ 1 (exp x))) (+ 1 (exp x))) (* (cbrt (sqrt (+ 1 (exp x)))) (/ (exp x) (- (exp x) 1)))))) * * * * [misc]progress: [ 766 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ 1 (sqrt (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (fabs (cbrt (+ 1 (exp x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (fabs (cbrt (+ 1 (exp x)))) (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp (+ x x)) 1) (sqrt (cbrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp (+ x x)) 1) (sqrt (cbrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (148 enodes) * * [misc]simplify: iters left: 2 (426 enodes) * [exit]simplify: Simplified to (* (* (sqrt (cbrt (+ 1 (exp x)))) (sqrt (+ 1 (exp x)))) (/ (/ (exp x) (- (exp x) 1)) (+ 1 (exp x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (fabs (cbrt (+ 1 (exp x)))) (* (* (sqrt (cbrt (+ 1 (exp x)))) (sqrt (+ 1 (exp x)))) (/ (/ (exp x) (- (exp x) 1)) (+ 1 (exp x)))))) * * * * [misc]progress: [ 767 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ 1 (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ 1 (exp x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (sqrt (sqrt (+ 1 (exp x)))) (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp (+ x x)) 1) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp (+ x x)) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (149 enodes) * * [misc]simplify: iters left: 2 (415 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (+ 1 (exp x))) (+ 1 (exp x))) (* (sqrt (sqrt (+ 1 (exp x)))) (/ (exp x) (- (exp x) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (sqrt (sqrt (+ 1 (exp x)))) (* (/ (sqrt (+ 1 (exp x))) (+ 1 (exp x))) (* (sqrt (sqrt (+ 1 (exp x)))) (/ (exp x) (- (exp x) 1)))))) * * * * [misc]progress: [ 768 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ 1 (sqrt 1))) * * [misc]simplify: iters left: 5 (4 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * [exit]simplify: Simplified to (sqrt 1) * [misc]simplify: Simplified (2 1) to (λ (x) (* (sqrt 1) (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (124 enodes) * * [misc]simplify: iters left: 2 (301 enodes) * [exit]simplify: Simplified to (* 1 (/ (exp x) (- (exp x) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (sqrt 1) (* 1 (/ (exp x) (- (exp x) 1))))) * * * * [misc]progress: [ 769 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ 1 (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ 1 (exp x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (sqrt (sqrt (+ 1 (exp x)))) (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp (+ x x)) 1) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp (+ x x)) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (149 enodes) * * [misc]simplify: iters left: 2 (415 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (+ 1 (exp x))) (+ 1 (exp x))) (* (sqrt (sqrt (+ 1 (exp x)))) (/ (exp x) (- (exp x) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (sqrt (sqrt (+ 1 (exp x)))) (* (/ (sqrt (+ 1 (exp x))) (+ 1 (exp x))) (* (sqrt (sqrt (+ 1 (exp x)))) (/ (exp x) (- (exp x) 1)))))) * * * * [misc]progress: [ 770 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ 1 1)) * * [misc]simplify: iters left: 4 (3 enodes) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (x) (* 1 (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (124 enodes) * * [misc]simplify: iters left: 2 (301 enodes) * [exit]simplify: Simplified to (* 1 (/ (exp x) (- (exp x) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* 1 (* 1 (/ (exp x) (- (exp x) 1))))) * * * * [misc]progress: [ 771 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (+ (exp x) 1) (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (88 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))) (+ 1 (exp x))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))) (+ 1 (exp x))) (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp x) 1) (cbrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp x) 1) (cbrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (120 enodes) * * [misc]simplify: iters left: 2 (293 enodes) * [exit]simplify: Simplified to (* (* (/ (exp x) (- (exp x) 1)) (sqrt (+ (exp x) 1))) (cbrt (sqrt (+ (exp x) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))) (+ 1 (exp x))) (* (* (/ (exp x) (- (exp x) 1)) (sqrt (+ (exp x) 1))) (cbrt (sqrt (+ (exp x) 1)))))) * * * * [misc]progress: [ 772 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (+ (exp x) 1) (sqrt (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * [exit]simplify: Simplified to (/ (fabs (cbrt (+ 1 (exp x)))) (+ 1 (exp x))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (fabs (cbrt (+ 1 (exp x)))) (+ 1 (exp x))) (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp x) 1) (sqrt (cbrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp x) 1) (sqrt (cbrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (117 enodes) * * [misc]simplify: iters left: 2 (289 enodes) * [exit]simplify: Simplified to (* (* (/ (exp x) (- (exp x) 1)) (sqrt (+ (exp x) 1))) (sqrt (cbrt (+ (exp x) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (fabs (cbrt (+ 1 (exp x)))) (+ 1 (exp x))) (* (* (/ (exp x) (- (exp x) 1)) (sqrt (+ (exp x) 1))) (sqrt (cbrt (+ (exp x) 1)))))) * * * * [misc]progress: [ 773 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (+ (exp x) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (36 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 (exp x)))) (+ 1 (exp x))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (sqrt (+ 1 (exp x)))) (+ 1 (exp x))) (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp x) 1) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp x) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (120 enodes) * * [misc]simplify: iters left: 2 (293 enodes) * [exit]simplify: Simplified to (* (* (/ (exp x) (- (exp x) 1)) (sqrt (+ (exp x) 1))) (sqrt (sqrt (+ (exp x) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (sqrt (+ 1 (exp x)))) (+ 1 (exp x))) (* (* (/ (exp x) (- (exp x) 1)) (sqrt (+ (exp x) 1))) (sqrt (sqrt (+ (exp x) 1)))))) * * * * [misc]progress: [ 774 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (+ (exp x) 1) (sqrt 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (/ (sqrt 1) (+ 1 (exp x))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt 1) (+ 1 (exp x))) (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp x) 1) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp x) 1) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (119 enodes) * * [misc]simplify: iters left: 2 (247 enodes) * [exit]simplify: Simplified to (* (+ 1 (exp x)) (/ (exp x) (- (exp x) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt 1) (+ 1 (exp x))) (* (+ 1 (exp x)) (/ (exp x) (- (exp x) 1))))) * * * * [misc]progress: [ 775 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (+ (exp x) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (36 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 (exp x)))) (+ 1 (exp x))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (sqrt (+ 1 (exp x)))) (+ 1 (exp x))) (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp x) 1) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp x) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (120 enodes) * * [misc]simplify: iters left: 2 (293 enodes) * [exit]simplify: Simplified to (* (* (/ (exp x) (- (exp x) 1)) (sqrt (+ (exp x) 1))) (sqrt (sqrt (+ (exp x) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (sqrt (+ 1 (exp x)))) (+ 1 (exp x))) (* (* (/ (exp x) (- (exp x) 1)) (sqrt (+ (exp x) 1))) (sqrt (sqrt (+ (exp x) 1)))))) * * * * [misc]progress: [ 776 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (+ (exp x) 1) 1)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ 1 (+ 1 (exp x))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ 1 (+ 1 (exp x))) (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp x) 1) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp x) 1) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (119 enodes) * * [misc]simplify: iters left: 2 (247 enodes) * [exit]simplify: Simplified to (* (+ 1 (exp x)) (/ (exp x) (- (exp x) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ 1 (+ 1 (exp x))) (* (+ 1 (exp x)) (/ (exp x) (- (exp x) 1))))) * * * * [misc]progress: [ 777 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (+ (sqrt (exp (+ x x))) 1) (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (97 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ 1 (exp x)))) (/ (cbrt (sqrt (+ 1 (exp x)))) (+ 1 (fabs (exp x))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (cbrt (sqrt (+ 1 (exp x)))) (/ (cbrt (sqrt (+ 1 (exp x)))) (+ 1 (fabs (exp x))))) (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (sqrt (exp (+ x x))) 1) (cbrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (sqrt (exp (+ x x))) 1) (cbrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (121 enodes) * * [misc]simplify: iters left: 2 (233 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (+ (exp x) 1))) (* (sqrt (+ (exp x) 1)) (exp x))) (- (fabs (exp x)) 1)) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (cbrt (sqrt (+ 1 (exp x)))) (/ (cbrt (sqrt (+ 1 (exp x)))) (+ 1 (fabs (exp x))))) (/ (* (cbrt (sqrt (+ (exp x) 1))) (* (sqrt (+ (exp x) 1)) (exp x))) (- (fabs (exp x)) 1)))) * * * * [misc]progress: [ 778 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (+ (sqrt (exp (+ x x))) 1) (sqrt (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (/ (fabs (cbrt (+ 1 (exp x)))) (+ 1 (fabs (exp x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (fabs (cbrt (+ 1 (exp x)))) (+ 1 (fabs (exp x)))) (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (cbrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (cbrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (121 enodes) * * [misc]simplify: iters left: 2 (273 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (exp x) 1)) (/ (/ (- (fabs (exp x)) 1) (exp x)) (sqrt (cbrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (fabs (cbrt (+ 1 (exp x)))) (+ 1 (fabs (exp x)))) (/ (sqrt (+ (exp x) 1)) (/ (/ (- (fabs (exp x)) 1) (exp x)) (sqrt (cbrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 779 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (+ (sqrt (exp (+ x x))) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 (exp x)))) (+ 1 (fabs (exp x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (sqrt (+ 1 (exp x)))) (+ 1 (fabs (exp x)))) (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (121 enodes) * * [misc]simplify: iters left: 2 (233 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (sqrt (+ (exp x) 1))) (* (sqrt (+ (exp x) 1)) (exp x))) (- (fabs (exp x)) 1)) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (sqrt (+ 1 (exp x)))) (+ 1 (fabs (exp x)))) (/ (* (sqrt (sqrt (+ (exp x) 1))) (* (sqrt (+ (exp x) 1)) (exp x))) (- (fabs (exp x)) 1)))) * * * * [misc]progress: [ 780 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (+ (sqrt (exp (+ x x))) 1) (sqrt 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (/ (sqrt 1) (+ 1 (fabs (exp x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt 1) (+ 1 (fabs (exp x)))) (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (124 enodes) * * [misc]simplify: iters left: 2 (252 enodes) * [exit]simplify: Simplified to (/ (* (exp x) (+ 1 (exp x))) (- (fabs (exp x)) 1)) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt 1) (+ 1 (fabs (exp x)))) (/ (* (exp x) (+ 1 (exp x))) (- (fabs (exp x)) 1)))) * * * * [misc]progress: [ 781 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (+ (sqrt (exp (+ x x))) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 (exp x)))) (+ 1 (fabs (exp x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (sqrt (+ 1 (exp x)))) (+ 1 (fabs (exp x)))) (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (121 enodes) * * [misc]simplify: iters left: 2 (233 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (sqrt (+ (exp x) 1))) (* (sqrt (+ (exp x) 1)) (exp x))) (- (fabs (exp x)) 1)) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (sqrt (+ 1 (exp x)))) (+ 1 (fabs (exp x)))) (/ (* (sqrt (sqrt (+ (exp x) 1))) (* (sqrt (+ (exp x) 1)) (exp x))) (- (fabs (exp x)) 1)))) * * * * [misc]progress: [ 782 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (+ (sqrt (exp (+ x x))) 1) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (/ 1 (+ 1 (fabs (exp x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ 1 (+ 1 (fabs (exp x)))) (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (124 enodes) * * [misc]simplify: iters left: 2 (252 enodes) * [exit]simplify: Simplified to (/ (* (exp x) (+ 1 (exp x))) (- (fabs (exp x)) 1)) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ 1 (+ 1 (fabs (exp x)))) (/ (* (exp x) (+ 1 (exp x))) (- (fabs (exp x)) 1)))) * * * * [misc]progress: [ 783 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (x) (* 1 (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (124 enodes) * * [misc]simplify: iters left: 2 (301 enodes) * [exit]simplify: Simplified to (* 1 (/ (exp x) (- (exp x) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* 1 (* 1 (/ (exp x) (- (exp x) 1))))) * * * * [misc]progress: [ 784 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (- (exp (+ x x)) 1)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (63 enodes) * [exit]simplify: Simplified to (/ 1 (- (* (exp x) (exp x)) 1)) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ 1 (- (* (exp x) (exp x)) 1)) (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ 1 (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ 1 (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (97 enodes) * [exit]simplify: Simplified to (+ (exp x) (* (exp x) (exp x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ 1 (- (exp (+ x x)) 1)) (+ (exp x) (* (exp x) (exp x))))) * * * * [misc]progress: [ 785 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (- (exp (+ x x)) 1) (sqrt (+ (pow 1 3) (pow (exp x) 3))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (129 enodes) * * [misc]simplify: iters left: 1 (332 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (pow (exp x) 3) 1)) (- (* (exp x) (exp x)) 1)) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (+ (pow (exp x) 3) 1)) (- (* (exp x) (exp x)) 1)) (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (sqrt (+ (* 1 1) (- (* (exp x) (exp x)) (* 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (sqrt (+ (* 1 1) (- (* (exp x) (exp x)) (* 1 (exp x)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (169 enodes) * * [misc]simplify: iters left: 2 (340 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (+ (exp x) 1)) (exp x)) (sqrt (- (exp (+ x x)) (- (exp x) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (+ (pow (exp x) 3) 1)) (- (* (exp x) (exp x)) 1)) (/ (* (sqrt (+ (exp x) 1)) (exp x)) (sqrt (- (exp (+ x x)) (- (exp x) 1)))))) * * * * [misc]progress: [ 786 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (- (exp (+ x x)) 1) (sqrt (- (* 1 1) (* (exp x) (exp x)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (127 enodes) * * [misc]simplify: iters left: 1 (337 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 (* (exp x) (exp x)))) (- (* (exp x) (exp x)) 1)) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (- 1 (* (exp x) (exp x)))) (- (* (exp x) (exp x)) 1)) (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (sqrt (- 1 (exp x)))))) * [enter]simplify: Simplifying (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (sqrt (- 1 (exp x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (158 enodes) * [exit]simplify: Simplified to (/ (exp x) (/ (sqrt (- 1 (exp x))) (sqrt (+ (exp x) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (- 1 (* (exp x) (exp x)))) (- (* (exp x) (exp x)) 1)) (/ (exp x) (/ (sqrt (- 1 (exp x))) (sqrt (+ (exp x) 1)))))) * * * * [misc]progress: [ 787 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp x) (* (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))) (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (97 enodes) * [exit]simplify: Simplified to (/ (exp x) (* (cbrt (/ (- (* (exp x) (exp x)) 1) (sqrt (+ (exp x) 1)))) (cbrt (/ (- (* (exp x) (exp x)) 1) (sqrt (+ (exp x) 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (exp x) (* (cbrt (/ (- (* (exp x) (exp x)) 1) (sqrt (+ (exp x) 1)))) (cbrt (/ (- (* (exp x) (exp x)) 1) (sqrt (+ (exp x) 1)))))) (/ (/ 1 (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (293 enodes) * * [misc]simplify: iters left: 1 (491 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (exp x) 1)) (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (exp x) (* (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))) (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))))) (/ (sqrt (+ (exp x) 1)) (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 788 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp x) (sqrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (94 enodes) * [exit]simplify: Simplified to (/ (exp x) (sqrt (/ (- (* (exp x) (exp x)) 1) (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (exp x) (sqrt (/ (- (* (exp x) (exp x)) 1) (sqrt (+ (exp x) 1))))) (/ (/ 1 (/ 1 (sqrt (+ (exp x) 1)))) (sqrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (sqrt (+ (exp x) 1)))) (sqrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (293 enodes) * * [misc]simplify: iters left: 1 (491 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (exp x) 1)) (sqrt (/ (- (exp (+ x x)) 1) (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (exp x) (sqrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) (/ (sqrt (+ (exp x) 1)) (sqrt (/ (- (exp (+ x x)) 1) (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 789 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp x) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (172 enodes) * [exit]simplify: Simplified to (/ (/ (exp x) (/ (cbrt (- (* (exp x) (exp x)) 1)) (cbrt (sqrt (+ 1 (exp x)))))) (/ (cbrt (- (* (exp x) (exp x)) 1)) (cbrt (sqrt (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (exp x) (/ (cbrt (- (* (exp x) (exp x)) 1)) (cbrt (sqrt (+ 1 (exp x)))))) (/ (cbrt (- (* (exp x) (exp x)) 1)) (cbrt (sqrt (+ 1 (exp x)))))) (/ (/ 1 (/ 1 (sqrt (+ (exp x) 1)))) (/ (cbrt (- (exp (+ x x)) 1)) (cbrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (sqrt (+ (exp x) 1)))) (/ (cbrt (- (exp (+ x x)) 1)) (cbrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (162 enodes) * * [misc]simplify: iters left: 1 (430 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (+ 1 (exp x)))) (sqrt (+ 1 (exp x)))) (cbrt (- (exp (+ x x)) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (exp x) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))))) (/ (* (cbrt (sqrt (+ 1 (exp x)))) (sqrt (+ 1 (exp x)))) (cbrt (- (exp (+ x x)) 1))))) * * * * [misc]progress: [ 790 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp x) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (sqrt (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (103 enodes) * [exit]simplify: Simplified to (/ (* (fabs (cbrt (+ (exp x) 1))) (exp x)) (* (cbrt (- (* (exp x) (exp x)) 1)) (cbrt (- (* (exp x) (exp x)) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (fabs (cbrt (+ (exp x) 1))) (exp x)) (* (cbrt (- (* (exp x) (exp x)) 1)) (cbrt (- (* (exp x) (exp x)) 1)))) (/ (/ 1 (/ 1 (sqrt (+ (exp x) 1)))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (cbrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (sqrt (+ (exp x) 1)))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (cbrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (162 enodes) * * [misc]simplify: iters left: 1 (430 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (cbrt (+ 1 (exp x)))) (sqrt (+ 1 (exp x)))) (cbrt (- (exp (+ x x)) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (fabs (cbrt (+ (exp x) 1))) (exp x)) (* (cbrt (- (* (exp x) (exp x)) 1)) (cbrt (- (* (exp x) (exp x)) 1)))) (/ (* (sqrt (cbrt (+ 1 (exp x)))) (sqrt (+ 1 (exp x)))) (cbrt (- (exp (+ x x)) 1))))) * * * * [misc]progress: [ 791 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp x) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (101 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ 1 (exp x)))) (cbrt (- (* (exp x) (exp x)) 1))) (/ (exp x) (cbrt (- (* (exp x) (exp x)) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (sqrt (sqrt (+ 1 (exp x)))) (cbrt (- (* (exp x) (exp x)) 1))) (/ (exp x) (cbrt (- (* (exp x) (exp x)) 1)))) (/ (/ 1 (/ 1 (sqrt (+ (exp x) 1)))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (sqrt (+ (exp x) 1)))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (162 enodes) * * [misc]simplify: iters left: 1 (430 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (sqrt (+ 1 (exp x)))) (sqrt (+ 1 (exp x)))) (cbrt (- (exp (+ x x)) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (exp x) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (sqrt (sqrt (+ 1 (exp x)))))) (/ (* (sqrt (sqrt (+ 1 (exp x)))) (sqrt (+ 1 (exp x)))) (cbrt (- (exp (+ x x)) 1))))) * * * * [misc]progress: [ 792 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp x) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (sqrt 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (100 enodes) * [exit]simplify: Simplified to (* (/ (sqrt 1) (cbrt (- (* (exp x) (exp x)) 1))) (/ (exp x) (cbrt (- (* (exp x) (exp x)) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (sqrt 1) (cbrt (- (* (exp x) (exp x)) 1))) (/ (exp x) (cbrt (- (* (exp x) (exp x)) 1)))) (/ (/ 1 (/ 1 (sqrt (+ (exp x) 1)))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (sqrt (+ (exp x) 1)))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (114 enodes) * * [misc]simplify: iters left: 2 (311 enodes) * [exit]simplify: Simplified to (/ (+ 1 (exp x)) (cbrt (- (exp (+ x x)) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (exp x) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (sqrt 1))) (/ (+ 1 (exp x)) (cbrt (- (exp (+ x x)) 1))))) * * * * [misc]progress: [ 793 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp x) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (101 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ 1 (exp x)))) (cbrt (- (* (exp x) (exp x)) 1))) (/ (exp x) (cbrt (- (* (exp x) (exp x)) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (sqrt (sqrt (+ 1 (exp x)))) (cbrt (- (* (exp x) (exp x)) 1))) (/ (exp x) (cbrt (- (* (exp x) (exp x)) 1)))) (/ (/ 1 (/ 1 (sqrt (+ (exp x) 1)))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (sqrt (+ (exp x) 1)))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (162 enodes) * * [misc]simplify: iters left: 1 (430 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (sqrt (+ 1 (exp x)))) (sqrt (+ 1 (exp x)))) (cbrt (- (exp (+ x x)) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (exp x) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (sqrt (sqrt (+ 1 (exp x)))))) (/ (* (sqrt (sqrt (+ 1 (exp x)))) (sqrt (+ 1 (exp x)))) (cbrt (- (exp (+ x x)) 1))))) * * * * [misc]progress: [ 794 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp x) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (100 enodes) * * [misc]simplify: iters left: 1 (166 enodes) * [exit]simplify: Simplified to (/ (/ (exp x) (cbrt (- (* (exp x) (exp x)) 1))) (cbrt (- (* (exp x) (exp x)) 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (exp x) (cbrt (- (* (exp x) (exp x)) 1))) (cbrt (- (* (exp x) (exp x)) 1))) (/ (/ 1 (/ 1 (sqrt (+ (exp x) 1)))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (sqrt (+ (exp x) 1)))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (114 enodes) * * [misc]simplify: iters left: 2 (311 enodes) * [exit]simplify: Simplified to (/ (+ 1 (exp x)) (cbrt (- (exp (+ x x)) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (exp x) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) 1)) (/ (+ 1 (exp x)) (cbrt (- (exp (+ x x)) 1))))) * * * * [misc]progress: [ 795 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp x) (/ (sqrt (- (exp (+ x x)) 1)) (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (94 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))) (/ (sqrt (- (* (exp x) (exp x)) 1)) (exp x))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))) (/ (sqrt (- (* (exp x) (exp x)) 1)) (exp x))) (/ (/ 1 (/ 1 (sqrt (+ (exp x) 1)))) (/ (sqrt (- (exp (+ x x)) 1)) (cbrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (sqrt (+ (exp x) 1)))) (/ (sqrt (- (exp (+ x x)) 1)) (cbrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (162 enodes) * * [misc]simplify: iters left: 1 (430 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (+ 1 (exp x)))) (sqrt (+ 1 (exp x)))) (sqrt (- (exp (+ x x)) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (exp x) (/ (sqrt (- (exp (+ x x)) 1)) (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))))) (/ (* (cbrt (sqrt (+ 1 (exp x)))) (sqrt (+ 1 (exp x)))) (sqrt (- (exp (+ x x)) 1))))) * * * * [misc]progress: [ 796 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp x) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to (* (fabs (cbrt (+ (exp x) 1))) (/ (exp x) (sqrt (- (* (exp x) (exp x)) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (fabs (cbrt (+ (exp x) 1))) (/ (exp x) (sqrt (- (* (exp x) (exp x)) 1)))) (/ (/ 1 (/ 1 (sqrt (+ (exp x) 1)))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (cbrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (sqrt (+ (exp x) 1)))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (cbrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (162 enodes) * * [misc]simplify: iters left: 1 (430 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (cbrt (+ 1 (exp x)))) (sqrt (+ 1 (exp x)))) (sqrt (- (exp (+ x x)) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (fabs (cbrt (+ (exp x) 1))) (/ (exp x) (sqrt (- (* (exp x) (exp x)) 1)))) (/ (* (sqrt (cbrt (+ 1 (exp x)))) (sqrt (+ 1 (exp x)))) (sqrt (- (exp (+ x x)) 1))))) * * * * [misc]progress: [ 797 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp x) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (/ (exp x) (/ (sqrt (- (* (exp x) (exp x)) 1)) (sqrt (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (exp x) (/ (sqrt (- (* (exp x) (exp x)) 1)) (sqrt (sqrt (+ (exp x) 1))))) (/ (/ 1 (/ 1 (sqrt (+ (exp x) 1)))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (sqrt (+ (exp x) 1)))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (162 enodes) * * [misc]simplify: iters left: 1 (430 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (sqrt (+ 1 (exp x)))) (sqrt (+ 1 (exp x)))) (sqrt (- (exp (+ x x)) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (exp x) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))) (/ (* (sqrt (sqrt (+ 1 (exp x)))) (sqrt (+ 1 (exp x)))) (sqrt (- (exp (+ x x)) 1))))) * * * * [misc]progress: [ 798 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp x) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to (/ (* (exp x) (sqrt 1)) (sqrt (- (* (exp x) (exp x)) 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (exp x) (sqrt 1)) (sqrt (- (* (exp x) (exp x)) 1))) (/ (/ 1 (/ 1 (sqrt (+ (exp x) 1)))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (sqrt (+ (exp x) 1)))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (114 enodes) * * [misc]simplify: iters left: 2 (311 enodes) * [exit]simplify: Simplified to (/ (+ 1 (exp x)) (sqrt (- (exp (+ x x)) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (exp x) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt 1))) (/ (+ 1 (exp x)) (sqrt (- (exp (+ x x)) 1))))) * * * * [misc]progress: [ 799 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp x) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (/ (exp x) (/ (sqrt (- (* (exp x) (exp x)) 1)) (sqrt (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (exp x) (/ (sqrt (- (* (exp x) (exp x)) 1)) (sqrt (sqrt (+ (exp x) 1))))) (/ (/ 1 (/ 1 (sqrt (+ (exp x) 1)))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (sqrt (+ (exp x) 1)))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (162 enodes) * * [misc]simplify: iters left: 1 (430 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (sqrt (+ 1 (exp x)))) (sqrt (+ 1 (exp x)))) (sqrt (- (exp (+ x x)) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (exp x) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))) (/ (* (sqrt (sqrt (+ 1 (exp x)))) (sqrt (+ 1 (exp x)))) (sqrt (- (exp (+ x x)) 1))))) * * * * [misc]progress: [ 800 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp x) (/ (sqrt (- (exp (+ x x)) 1)) 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (105 enodes) * [exit]simplify: Simplified to (/ (exp x) (sqrt (- (* (exp x) (exp x)) 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (exp x) (sqrt (- (* (exp x) (exp x)) 1))) (/ (/ 1 (/ 1 (sqrt (+ (exp x) 1)))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (sqrt (+ (exp x) 1)))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (114 enodes) * * [misc]simplify: iters left: 2 (311 enodes) * [exit]simplify: Simplified to (/ (+ 1 (exp x)) (sqrt (- (exp (+ x x)) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (exp x) (sqrt (- (* (exp x) (exp x)) 1))) (/ (+ 1 (exp x)) (sqrt (- (exp (+ x x)) 1))))) * * * * [misc]progress: [ 801 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp x) (/ 1 (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to (* (exp x) (* (cbrt (sqrt (+ (exp x) 1))) (cbrt (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (exp x) (* (cbrt (sqrt (+ (exp x) 1))) (cbrt (sqrt (+ (exp x) 1))))) (/ (/ 1 (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp (+ x x)) 1) (cbrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp (+ x x)) 1) (cbrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (105 enodes) * * [misc]simplify: iters left: 2 (312 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (+ 1 (exp x)))) (/ (* (- (exp x) 1) (+ 1 (exp x))) (sqrt (+ 1 (exp x))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (exp x) (* (cbrt (sqrt (+ (exp x) 1))) (cbrt (sqrt (+ (exp x) 1))))) (/ (cbrt (sqrt (+ 1 (exp x)))) (/ (* (- (exp x) 1) (+ 1 (exp x))) (sqrt (+ 1 (exp x))))))) * * * * [misc]progress: [ 802 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp x) (/ 1 (sqrt (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (* (exp x) (fabs (cbrt (+ (exp x) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (exp x) (fabs (cbrt (+ (exp x) 1)))) (/ (/ 1 (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp (+ x x)) 1) (sqrt (cbrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp (+ x x)) 1) (sqrt (cbrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (105 enodes) * * [misc]simplify: iters left: 2 (312 enodes) * [exit]simplify: Simplified to (/ (sqrt (cbrt (+ 1 (exp x)))) (/ (* (- (exp x) 1) (+ 1 (exp x))) (sqrt (+ 1 (exp x))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (exp x) (fabs (cbrt (+ (exp x) 1)))) (/ (sqrt (cbrt (+ 1 (exp x)))) (/ (* (- (exp x) 1) (+ 1 (exp x))) (sqrt (+ 1 (exp x))))))) * * * * [misc]progress: [ 803 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp x) (/ 1 (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ (exp x) 1))) (exp x)) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (sqrt (sqrt (+ (exp x) 1))) (exp x)) (/ (/ 1 (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp (+ x x)) 1) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp (+ x x)) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (105 enodes) * * [misc]simplify: iters left: 2 (312 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 (exp x)))) (/ (* (- (exp x) 1) (+ 1 (exp x))) (sqrt (+ 1 (exp x))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt (sqrt (+ (exp x) 1))) (exp x)) (/ (sqrt (sqrt (+ 1 (exp x)))) (/ (* (- (exp x) 1) (+ 1 (exp x))) (sqrt (+ 1 (exp x))))))) * * * * [misc]progress: [ 804 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp x) (/ 1 (sqrt 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (25 enodes) * [exit]simplify: Simplified to (* (exp x) (sqrt 1)) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (exp x) (sqrt 1)) (/ (/ 1 (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (178 enodes) * [exit]simplify: Simplified to (/ (/ (+ 1 (exp x)) (- (exp x) 1)) (+ 1 (exp x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (exp x) (sqrt 1)) (/ (/ (+ 1 (exp x)) (- (exp x) 1)) (+ 1 (exp x))))) * * * * [misc]progress: [ 805 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp x) (/ 1 (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ (exp x) 1))) (exp x)) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (sqrt (sqrt (+ (exp x) 1))) (exp x)) (/ (/ 1 (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp (+ x x)) 1) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp (+ x x)) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (105 enodes) * * [misc]simplify: iters left: 2 (312 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 (exp x)))) (/ (* (- (exp x) 1) (+ 1 (exp x))) (sqrt (+ 1 (exp x))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt (sqrt (+ (exp x) 1))) (exp x)) (/ (sqrt (sqrt (+ 1 (exp x)))) (/ (* (- (exp x) 1) (+ 1 (exp x))) (sqrt (+ 1 (exp x))))))) * * * * [misc]progress: [ 806 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp x) (/ 1 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (exp x) * [misc]simplify: Simplified (2 1) to (λ (x) (* (exp x) (/ (/ 1 (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (178 enodes) * [exit]simplify: Simplified to (/ (/ (+ 1 (exp x)) (- (exp x) 1)) (+ 1 (exp x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (exp x) (/ (/ (+ 1 (exp x)) (- (exp x) 1)) (+ 1 (exp x))))) * * * * [misc]progress: [ 807 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp x) (/ (+ (exp x) 1) (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (* (/ (exp x) (+ (exp x) 1)) (* (cbrt (sqrt (+ (exp x) 1))) (cbrt (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (exp x) (+ (exp x) 1)) (* (cbrt (sqrt (+ (exp x) 1))) (cbrt (sqrt (+ (exp x) 1))))) (/ (/ 1 (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp x) 1) (cbrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp x) 1) (cbrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (197 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (+ 1 (exp x))) (- (exp x) 1)) (cbrt (sqrt (+ 1 (exp x))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (exp x) (/ (+ (exp x) 1) (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))))) (* (/ (sqrt (+ 1 (exp x))) (- (exp x) 1)) (cbrt (sqrt (+ 1 (exp x))))))) * * * * [misc]progress: [ 808 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp x) (/ (+ (exp x) 1) (sqrt (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (* (fabs (cbrt (+ (exp x) 1))) (/ (exp x) (+ (exp x) 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (fabs (cbrt (+ (exp x) 1))) (/ (exp x) (+ (exp x) 1))) (/ (/ 1 (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp x) 1) (sqrt (cbrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp x) 1) (sqrt (cbrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (197 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (+ 1 (exp x))) (- (exp x) 1)) (sqrt (cbrt (+ 1 (exp x))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (fabs (cbrt (+ (exp x) 1))) (/ (exp x) (+ (exp x) 1))) (* (/ (sqrt (+ 1 (exp x))) (- (exp x) 1)) (sqrt (cbrt (+ 1 (exp x))))))) * * * * [misc]progress: [ 809 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp x) (/ (+ (exp x) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (* (/ (exp x) (+ (exp x) 1)) (sqrt (sqrt (+ (exp x) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (exp x) (+ (exp x) 1)) (sqrt (sqrt (+ (exp x) 1)))) (/ (/ 1 (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp x) 1) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp x) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (197 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (+ 1 (exp x))) (- (exp x) 1)) (sqrt (sqrt (+ 1 (exp x))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (exp x) (/ (+ (exp x) 1) (sqrt (sqrt (+ 1 (exp x)))))) (* (/ (sqrt (+ 1 (exp x))) (- (exp x) 1)) (sqrt (sqrt (+ 1 (exp x))))))) * * * * [misc]progress: [ 810 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp x) (/ (+ (exp x) 1) (sqrt 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (/ (* (exp x) (sqrt 1)) (+ (exp x) 1)) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (exp x) (sqrt 1)) (+ (exp x) 1)) (/ (/ 1 (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp x) 1) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp x) 1) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (124 enodes) * * [misc]simplify: iters left: 2 (295 enodes) * * [misc]simplify: iters left: 1 (440 enodes) * [exit]simplify: Simplified to (/ (+ 1 (exp x)) (- (exp x) 1)) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (exp x) (/ (+ (exp x) 1) (sqrt 1))) (/ (+ 1 (exp x)) (- (exp x) 1)))) * * * * [misc]progress: [ 811 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp x) (/ (+ (exp x) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (* (/ (exp x) (+ (exp x) 1)) (sqrt (sqrt (+ (exp x) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (exp x) (+ (exp x) 1)) (sqrt (sqrt (+ (exp x) 1)))) (/ (/ 1 (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp x) 1) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp x) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (197 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (+ 1 (exp x))) (- (exp x) 1)) (sqrt (sqrt (+ 1 (exp x))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (exp x) (/ (+ (exp x) 1) (sqrt (sqrt (+ 1 (exp x)))))) (* (/ (sqrt (+ 1 (exp x))) (- (exp x) 1)) (sqrt (sqrt (+ 1 (exp x))))))) * * * * [misc]progress: [ 812 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp x) (/ (+ (exp x) 1) 1)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (/ (exp x) (+ (exp x) 1)) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (exp x) (+ (exp x) 1)) (/ (/ 1 (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp x) 1) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp x) 1) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (124 enodes) * * [misc]simplify: iters left: 2 (295 enodes) * * [misc]simplify: iters left: 1 (440 enodes) * [exit]simplify: Simplified to (/ (+ 1 (exp x)) (- (exp x) 1)) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (exp x) (+ (exp x) 1)) (/ (+ 1 (exp x)) (- (exp x) 1)))) * * * * [misc]progress: [ 813 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp x) (/ (+ (sqrt (exp (+ x x))) 1) (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (* (* (cbrt (sqrt (+ (exp x) 1))) (/ (exp x) (+ 1 (fabs (exp x))))) (cbrt (sqrt (+ (exp x) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (* (cbrt (sqrt (+ (exp x) 1))) (/ (exp x) (+ 1 (fabs (exp x))))) (cbrt (sqrt (+ (exp x) 1)))) (/ (/ 1 (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (sqrt (exp (+ x x))) 1) (cbrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (sqrt (exp (+ x x))) 1) (cbrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (202 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ 1 (exp x)))) (/ (sqrt (+ 1 (exp x))) (- (fabs (exp x)) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (* (cbrt (sqrt (+ (exp x) 1))) (/ (exp x) (+ 1 (fabs (exp x))))) (cbrt (sqrt (+ (exp x) 1)))) (* (cbrt (sqrt (+ 1 (exp x)))) (/ (sqrt (+ 1 (exp x))) (- (fabs (exp x)) 1))))) * * * * [misc]progress: [ 814 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp x) (/ (+ (sqrt (exp (+ x x))) 1) (sqrt (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * [exit]simplify: Simplified to (* (fabs (cbrt (+ (exp x) 1))) (/ (exp x) (+ 1 (fabs (exp x))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (fabs (cbrt (+ (exp x) 1))) (/ (exp x) (+ 1 (fabs (exp x))))) (/ (/ 1 (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (cbrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (cbrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (202 enodes) * [exit]simplify: Simplified to (* (sqrt (cbrt (+ 1 (exp x)))) (/ (sqrt (+ 1 (exp x))) (- (fabs (exp x)) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (fabs (cbrt (+ (exp x) 1))) (/ (exp x) (+ 1 (fabs (exp x))))) (* (sqrt (cbrt (+ 1 (exp x)))) (/ (sqrt (+ 1 (exp x))) (- (fabs (exp x)) 1))))) * * * * [misc]progress: [ 815 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp x) (/ (+ (sqrt (exp (+ x x))) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ (exp x) 1))) (/ (exp x) (+ 1 (fabs (exp x))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (sqrt (sqrt (+ (exp x) 1))) (/ (exp x) (+ 1 (fabs (exp x))))) (/ (/ 1 (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (202 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ 1 (exp x)))) (/ (sqrt (+ 1 (exp x))) (- (fabs (exp x)) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt (sqrt (+ (exp x) 1))) (/ (exp x) (+ 1 (fabs (exp x))))) (* (sqrt (sqrt (+ 1 (exp x)))) (/ (sqrt (+ 1 (exp x))) (- (fabs (exp x)) 1))))) * * * * [misc]progress: [ 816 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp x) (/ (+ (sqrt (exp (+ x x))) 1) (sqrt 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (/ (* (exp x) (sqrt 1)) (+ 1 (fabs (exp x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (exp x) (sqrt 1)) (+ 1 (fabs (exp x)))) (/ (/ 1 (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (119 enodes) * * [misc]simplify: iters left: 2 (263 enodes) * * [misc]simplify: iters left: 1 (395 enodes) * [exit]simplify: Simplified to (/ (+ (exp x) 1) (- (fabs (exp x)) 1)) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (exp x) (sqrt 1)) (+ 1 (fabs (exp x)))) (/ (+ (exp x) 1) (- (fabs (exp x)) 1)))) * * * * [misc]progress: [ 817 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp x) (/ (+ (sqrt (exp (+ x x))) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ (exp x) 1))) (/ (exp x) (+ 1 (fabs (exp x))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (sqrt (sqrt (+ (exp x) 1))) (/ (exp x) (+ 1 (fabs (exp x))))) (/ (/ 1 (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (202 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ 1 (exp x)))) (/ (sqrt (+ 1 (exp x))) (- (fabs (exp x)) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt (sqrt (+ (exp x) 1))) (/ (exp x) (+ 1 (fabs (exp x))))) (* (sqrt (sqrt (+ 1 (exp x)))) (/ (sqrt (+ 1 (exp x))) (- (fabs (exp x)) 1))))) * * * * [misc]progress: [ 818 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp x) (/ (+ (sqrt (exp (+ x x))) 1) 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (/ (exp x) (+ 1 (fabs (exp x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (exp x) (+ 1 (fabs (exp x)))) (/ (/ 1 (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (119 enodes) * * [misc]simplify: iters left: 2 (263 enodes) * * [misc]simplify: iters left: 1 (395 enodes) * [exit]simplify: Simplified to (/ (+ (exp x) 1) (- (fabs (exp x)) 1)) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (exp x) (+ 1 (fabs (exp x)))) (/ (+ (exp x) 1) (- (fabs (exp x)) 1)))) * * * * [misc]progress: [ 819 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp x) 1) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * * [misc]simplify: iters left: 1 (8 enodes) * [exit]simplify: Simplified to (exp x) * [misc]simplify: Simplified (2 1) to (λ (x) (* (exp x) (/ (/ 1 (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (178 enodes) * [exit]simplify: Simplified to (/ (/ (+ 1 (exp x)) (- (exp x) 1)) (+ 1 (exp x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (exp x) (/ (/ (+ 1 (exp x)) (- (exp x) 1)) (+ 1 (exp x))))) * * * * [misc]progress: [ 820 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp x) (- (exp (+ x x)) 1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (63 enodes) * [exit]simplify: Simplified to (/ (exp x) (- (* (exp x) (exp x)) 1)) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (exp x) (- (* (exp x) (exp x)) 1)) (/ (/ 1 (/ 1 (sqrt (+ (exp x) 1)))) (/ 1 (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (sqrt (+ (exp x) 1)))) (/ 1 (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (80 enodes) * [exit]simplify: Simplified to (+ 1 (exp x)) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (exp x) (- (exp (+ x x)) 1)) (+ 1 (exp x)))) * * * * [misc]progress: [ 821 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp x) (/ (- (exp (+ x x)) 1) (sqrt (+ (pow 1 3) (pow (exp x) 3))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (144 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (pow (exp x) 3) 1)) (/ (exp x) (- (* (exp x) (exp x)) 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (sqrt (+ (pow (exp x) 3) 1)) (/ (exp x) (- (* (exp x) (exp x)) 1))) (/ (/ 1 (/ 1 (sqrt (+ (exp x) 1)))) (sqrt (+ (* 1 1) (- (* (exp x) (exp x)) (* 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (sqrt (+ (exp x) 1)))) (sqrt (+ (* 1 1) (- (* (exp x) (exp x)) (* 1 (exp x)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (157 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 (exp x))) (sqrt (- (exp (+ x x)) (- (exp x) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt (+ (pow (exp x) 3) 1)) (/ (exp x) (- (* (exp x) (exp x)) 1))) (/ (sqrt (+ 1 (exp x))) (sqrt (- (exp (+ x x)) (- (exp x) 1)))))) * * * * [misc]progress: [ 822 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp x) (/ (- (exp (+ x x)) 1) (sqrt (- (* 1 1) (* (exp x) (exp x)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (139 enodes) * [exit]simplify: Simplified to (* (/ (exp x) (- (* (exp x) (exp x)) 1)) (sqrt (- 1 (* (exp x) (exp x))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (exp x) (- (* (exp x) (exp x)) 1)) (sqrt (- 1 (* (exp x) (exp x))))) (/ (/ 1 (/ 1 (sqrt (+ (exp x) 1)))) (sqrt (- 1 (exp x)))))) * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (sqrt (+ (exp x) 1)))) (sqrt (- 1 (exp x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 (exp x))) (sqrt (- 1 (exp x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (exp x) (- (* (exp x) (exp x)) 1)) (sqrt (- 1 (* (exp x) (exp x))))) (/ (sqrt (+ 1 (exp x))) (sqrt (- 1 (exp x)))))) * * * * [misc]progress: [ 823 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (exp x) 1) (* (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))) (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to (/ (/ (exp x) (cbrt (/ (- (* (exp x) (exp x)) 1) (sqrt (+ (exp x) 1))))) (cbrt (/ (- (* (exp x) (exp x)) 1) (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (exp x) (cbrt (/ (- (* (exp x) (exp x)) 1) (sqrt (+ (exp x) 1))))) (cbrt (/ (- (* (exp x) (exp x)) 1) (sqrt (+ (exp x) 1))))) (/ (sqrt (+ (exp x) 1)) (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (sqrt (+ (exp x) 1)) (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (95 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (exp x) 1)) (cbrt (/ (- (* (exp x) (exp x)) 1) (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (exp x) 1) (* (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))) (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))))) (/ (sqrt (+ (exp x) 1)) (cbrt (/ (- (* (exp x) (exp x)) 1) (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 824 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (exp x) 1) (sqrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * [exit]simplify: Simplified to (/ (exp x) (sqrt (/ (- (* (exp x) (exp x)) 1) (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (exp x) (sqrt (/ (- (* (exp x) (exp x)) 1) (sqrt (+ (exp x) 1))))) (/ (sqrt (+ (exp x) 1)) (sqrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (sqrt (+ (exp x) 1)) (sqrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (95 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (exp x) 1)) (sqrt (/ (- (* (exp x) (exp x)) 1) (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (exp x) (sqrt (/ (- (* (exp x) (exp x)) 1) (sqrt (+ (exp x) 1))))) (/ (sqrt (+ (exp x) 1)) (sqrt (/ (- (* (exp x) (exp x)) 1) (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 825 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (exp x) 1) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (170 enodes) * [exit]simplify: Simplified to (/ (/ (exp x) (/ (cbrt (- (* (exp x) (exp x)) 1)) (cbrt (sqrt (+ (exp x) 1))))) (/ (cbrt (- (* (exp x) (exp x)) 1)) (cbrt (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (exp x) (/ (cbrt (- (* (exp x) (exp x)) 1)) (cbrt (sqrt (+ (exp x) 1))))) (/ (cbrt (- (* (exp x) (exp x)) 1)) (cbrt (sqrt (+ (exp x) 1))))) (/ (sqrt (+ (exp x) 1)) (/ (cbrt (- (exp (+ x x)) 1)) (cbrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (sqrt (+ (exp x) 1)) (/ (cbrt (- (exp (+ x x)) 1)) (cbrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (73 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ (exp x) 1))) (/ (sqrt (+ (exp x) 1)) (cbrt (- (* (exp x) (exp x)) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (exp x) 1) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))))) (* (cbrt (sqrt (+ (exp x) 1))) (/ (sqrt (+ (exp x) 1)) (cbrt (- (* (exp x) (exp x)) 1)))))) * * * * [misc]progress: [ 826 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (exp x) 1) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (sqrt (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (169 enodes) * * [misc]simplify: iters left: 1 (261 enodes) * [exit]simplify: Simplified to (/ (* (fabs (cbrt (+ (exp x) 1))) (exp x)) (* (cbrt (- (* (exp x) (exp x)) 1)) (cbrt (- (* (exp x) (exp x)) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (fabs (cbrt (+ (exp x) 1))) (exp x)) (* (cbrt (- (* (exp x) (exp x)) 1)) (cbrt (- (* (exp x) (exp x)) 1)))) (/ (sqrt (+ (exp x) 1)) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (cbrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (sqrt (+ (exp x) 1)) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (cbrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (73 enodes) * [exit]simplify: Simplified to (* (sqrt (cbrt (+ (exp x) 1))) (/ (sqrt (+ (exp x) 1)) (cbrt (- (* (exp x) (exp x)) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (fabs (cbrt (+ (exp x) 1))) (exp x)) (* (cbrt (- (* (exp x) (exp x)) 1)) (cbrt (- (* (exp x) (exp x)) 1)))) (* (sqrt (cbrt (+ (exp x) 1))) (/ (sqrt (+ (exp x) 1)) (cbrt (- (* (exp x) (exp x)) 1)))))) * * * * [misc]progress: [ 827 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (exp x) 1) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (188 enodes) * * [misc]simplify: iters left: 1 (479 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ (exp x) 1))) (cbrt (- (* (exp x) (exp x)) 1))) (/ (exp x) (cbrt (- (* (exp x) (exp x)) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (sqrt (sqrt (+ (exp x) 1))) (cbrt (- (* (exp x) (exp x)) 1))) (/ (exp x) (cbrt (- (* (exp x) (exp x)) 1)))) (/ (sqrt (+ (exp x) 1)) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (sqrt (+ (exp x) 1)) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (73 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ (exp x) 1))) (/ (sqrt (+ (exp x) 1)) (cbrt (- (* (exp x) (exp x)) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (exp x) 1) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (sqrt (sqrt (+ 1 (exp x)))))) (* (sqrt (sqrt (+ (exp x) 1))) (/ (sqrt (+ (exp x) 1)) (cbrt (- (* (exp x) (exp x)) 1)))))) * * * * [misc]progress: [ 828 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (exp x) 1) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (sqrt 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (208 enodes) * [exit]simplify: Simplified to (* (/ (sqrt 1) (cbrt (- (* (exp x) (exp x)) 1))) (/ (exp x) (cbrt (- (* (exp x) (exp x)) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (sqrt 1) (cbrt (- (* (exp x) (exp x)) 1))) (/ (exp x) (cbrt (- (* (exp x) (exp x)) 1)))) (/ (sqrt (+ (exp x) 1)) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (sqrt (+ (exp x) 1)) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (89 enodes) * [exit]simplify: Simplified to (/ (+ 1 (exp x)) (cbrt (- (* (exp x) (exp x)) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (exp x) 1) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (sqrt 1))) (/ (+ 1 (exp x)) (cbrt (- (* (exp x) (exp x)) 1))))) * * * * [misc]progress: [ 829 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (exp x) 1) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (188 enodes) * * [misc]simplify: iters left: 1 (479 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ (exp x) 1))) (cbrt (- (* (exp x) (exp x)) 1))) (/ (exp x) (cbrt (- (* (exp x) (exp x)) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (sqrt (sqrt (+ (exp x) 1))) (cbrt (- (* (exp x) (exp x)) 1))) (/ (exp x) (cbrt (- (* (exp x) (exp x)) 1)))) (/ (sqrt (+ (exp x) 1)) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (sqrt (+ (exp x) 1)) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (73 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ (exp x) 1))) (/ (sqrt (+ (exp x) 1)) (cbrt (- (* (exp x) (exp x)) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (exp x) 1) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (sqrt (sqrt (+ 1 (exp x)))))) (* (sqrt (sqrt (+ (exp x) 1))) (/ (sqrt (+ (exp x) 1)) (cbrt (- (* (exp x) (exp x)) 1)))))) * * * * [misc]progress: [ 830 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (exp x) 1) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (110 enodes) * * [misc]simplify: iters left: 1 (175 enodes) * [exit]simplify: Simplified to (/ (exp x) (* (cbrt (- (* (exp x) (exp x)) 1)) (cbrt (- (* (exp x) (exp x)) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (exp x) (* (cbrt (- (* (exp x) (exp x)) 1)) (cbrt (- (* (exp x) (exp x)) 1)))) (/ (sqrt (+ (exp x) 1)) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (sqrt (+ (exp x) 1)) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (89 enodes) * [exit]simplify: Simplified to (/ (+ 1 (exp x)) (cbrt (- (* (exp x) (exp x)) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (exp x) (* (cbrt (- (* (exp x) (exp x)) 1)) (cbrt (- (* (exp x) (exp x)) 1)))) (/ (+ 1 (exp x)) (cbrt (- (* (exp x) (exp x)) 1))))) * * * * [misc]progress: [ 831 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (exp x) 1) (/ (sqrt (- (exp (+ x x)) 1)) (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (182 enodes) * [exit]simplify: Simplified to (* (* (cbrt (sqrt (+ (exp x) 1))) (cbrt (sqrt (+ (exp x) 1)))) (/ (exp x) (sqrt (- (* (exp x) (exp x)) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (* (cbrt (sqrt (+ (exp x) 1))) (cbrt (sqrt (+ (exp x) 1)))) (/ (exp x) (sqrt (- (* (exp x) (exp x)) 1)))) (/ (sqrt (+ (exp x) 1)) (/ (sqrt (- (exp (+ x x)) 1)) (cbrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (sqrt (+ (exp x) 1)) (/ (sqrt (- (exp (+ x x)) 1)) (cbrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (73 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ (exp x) 1))) (/ (sqrt (+ (exp x) 1)) (sqrt (- (* (exp x) (exp x)) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (* (cbrt (sqrt (+ (exp x) 1))) (cbrt (sqrt (+ (exp x) 1)))) (/ (exp x) (sqrt (- (* (exp x) (exp x)) 1)))) (* (cbrt (sqrt (+ (exp x) 1))) (/ (sqrt (+ (exp x) 1)) (sqrt (- (* (exp x) (exp x)) 1)))))) * * * * [misc]progress: [ 832 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (exp x) 1) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (85 enodes) * [exit]simplify: Simplified to (* (exp x) (/ (fabs (cbrt (+ (exp x) 1))) (sqrt (- (* (exp x) (exp x)) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (exp x) (/ (fabs (cbrt (+ (exp x) 1))) (sqrt (- (* (exp x) (exp x)) 1)))) (/ (sqrt (+ (exp x) 1)) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (cbrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (sqrt (+ (exp x) 1)) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (cbrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (73 enodes) * [exit]simplify: Simplified to (* (sqrt (cbrt (+ (exp x) 1))) (/ (sqrt (+ (exp x) 1)) (sqrt (- (* (exp x) (exp x)) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (exp x) (/ (fabs (cbrt (+ (exp x) 1))) (sqrt (- (* (exp x) (exp x)) 1)))) (* (sqrt (cbrt (+ (exp x) 1))) (/ (sqrt (+ (exp x) 1)) (sqrt (- (* (exp x) (exp x)) 1)))))) * * * * [misc]progress: [ 833 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (exp x) 1) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (109 enodes) * [exit]simplify: Simplified to (/ (exp x) (/ (sqrt (- (* (exp x) (exp x)) 1)) (sqrt (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (exp x) (/ (sqrt (- (* (exp x) (exp x)) 1)) (sqrt (sqrt (+ (exp x) 1))))) (/ (sqrt (+ (exp x) 1)) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (sqrt (+ (exp x) 1)) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (73 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ (exp x) 1))) (/ (sqrt (+ (exp x) 1)) (sqrt (- (* (exp x) (exp x)) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (exp x) (/ (sqrt (- (* (exp x) (exp x)) 1)) (sqrt (sqrt (+ (exp x) 1))))) (* (sqrt (sqrt (+ (exp x) 1))) (/ (sqrt (+ (exp x) 1)) (sqrt (- (* (exp x) (exp x)) 1)))))) * * * * [misc]progress: [ 834 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (exp x) 1) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (130 enodes) * [exit]simplify: Simplified to (/ (* (sqrt 1) (exp x)) (sqrt (- (* (exp x) (exp x)) 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (sqrt 1) (exp x)) (sqrt (- (* (exp x) (exp x)) 1))) (/ (sqrt (+ (exp x) 1)) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (sqrt (+ (exp x) 1)) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (89 enodes) * [exit]simplify: Simplified to (/ (+ 1 (exp x)) (sqrt (- (* (exp x) (exp x)) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (sqrt 1) (exp x)) (sqrt (- (* (exp x) (exp x)) 1))) (/ (+ 1 (exp x)) (sqrt (- (* (exp x) (exp x)) 1))))) * * * * [misc]progress: [ 835 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (exp x) 1) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (109 enodes) * [exit]simplify: Simplified to (/ (exp x) (/ (sqrt (- (* (exp x) (exp x)) 1)) (sqrt (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (exp x) (/ (sqrt (- (* (exp x) (exp x)) 1)) (sqrt (sqrt (+ (exp x) 1))))) (/ (sqrt (+ (exp x) 1)) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (sqrt (+ (exp x) 1)) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (73 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ (exp x) 1))) (/ (sqrt (+ (exp x) 1)) (sqrt (- (* (exp x) (exp x)) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (exp x) (/ (sqrt (- (* (exp x) (exp x)) 1)) (sqrt (sqrt (+ (exp x) 1))))) (* (sqrt (sqrt (+ (exp x) 1))) (/ (sqrt (+ (exp x) 1)) (sqrt (- (* (exp x) (exp x)) 1)))))) * * * * [misc]progress: [ 836 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (exp x) 1) (/ (sqrt (- (exp (+ x x)) 1)) 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (100 enodes) * [exit]simplify: Simplified to (/ (exp x) (sqrt (- (* (exp x) (exp x)) 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (exp x) (sqrt (- (* (exp x) (exp x)) 1))) (/ (sqrt (+ (exp x) 1)) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (sqrt (+ (exp x) 1)) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (89 enodes) * [exit]simplify: Simplified to (/ (+ 1 (exp x)) (sqrt (- (* (exp x) (exp x)) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (exp x) (sqrt (- (* (exp x) (exp x)) 1))) (/ (+ 1 (exp x)) (sqrt (- (* (exp x) (exp x)) 1))))) * * * * [misc]progress: [ 837 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (exp x) 1) (/ 1 (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (87 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ (exp x) 1))) (* (exp x) (cbrt (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (cbrt (sqrt (+ (exp x) 1))) (* (exp x) (cbrt (sqrt (+ (exp x) 1))))) (/ (sqrt (+ (exp x) 1)) (/ (- (exp (+ x x)) 1) (cbrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (sqrt (+ (exp x) 1)) (/ (- (exp (+ x x)) 1) (cbrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (161 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (+ (exp x) 1))) (/ (- (* (exp x) (exp x)) 1) (sqrt (+ (exp x) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (cbrt (sqrt (+ (exp x) 1))) (* (exp x) (cbrt (sqrt (+ (exp x) 1))))) (/ (cbrt (sqrt (+ (exp x) 1))) (/ (- (* (exp x) (exp x)) 1) (sqrt (+ (exp x) 1)))))) * * * * [misc]progress: [ 838 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (exp x) 1) (/ 1 (sqrt (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * [exit]simplify: Simplified to (* (exp x) (fabs (cbrt (+ (exp x) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (exp x) (fabs (cbrt (+ (exp x) 1)))) (/ (sqrt (+ (exp x) 1)) (/ (- (exp (+ x x)) 1) (sqrt (cbrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (sqrt (+ (exp x) 1)) (/ (- (exp (+ x x)) 1) (sqrt (cbrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (133 enodes) * [exit]simplify: Simplified to (* (sqrt (cbrt (+ (exp x) 1))) (/ (sqrt (+ (exp x) 1)) (- (* (exp x) (exp x)) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (exp x) (fabs (cbrt (+ (exp x) 1)))) (* (sqrt (cbrt (+ (exp x) 1))) (/ (sqrt (+ (exp x) 1)) (- (* (exp x) (exp x)) 1))))) * * * * [misc]progress: [ 839 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (exp x) 1) (/ 1 (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (* (exp x) (sqrt (sqrt (+ (exp x) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (exp x) (sqrt (sqrt (+ (exp x) 1)))) (/ (sqrt (+ (exp x) 1)) (/ (- (exp (+ x x)) 1) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (sqrt (+ (exp x) 1)) (/ (- (exp (+ x x)) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (161 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ (exp x) 1))) (/ (- (* (exp x) (exp x)) 1) (sqrt (+ (exp x) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (exp x) (sqrt (sqrt (+ (exp x) 1)))) (/ (sqrt (sqrt (+ (exp x) 1))) (/ (- (* (exp x) (exp x)) 1) (sqrt (+ (exp x) 1)))))) * * * * [misc]progress: [ 840 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (exp x) 1) (/ 1 (sqrt 1))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (* (exp x) (sqrt 1)) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (exp x) (sqrt 1)) (/ (sqrt (+ (exp x) 1)) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (sqrt (+ (exp x) 1)) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (91 enodes) * * [misc]simplify: iters left: 1 (185 enodes) * [exit]simplify: Simplified to (/ 1 (- (exp x) 1)) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (exp x) (sqrt 1)) (/ 1 (- (exp x) 1)))) * * * * [misc]progress: [ 841 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (exp x) 1) (/ 1 (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (* (exp x) (sqrt (sqrt (+ (exp x) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (exp x) (sqrt (sqrt (+ (exp x) 1)))) (/ (sqrt (+ (exp x) 1)) (/ (- (exp (+ x x)) 1) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (sqrt (+ (exp x) 1)) (/ (- (exp (+ x x)) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (161 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ (exp x) 1))) (/ (- (* (exp x) (exp x)) 1) (sqrt (+ (exp x) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (exp x) (sqrt (sqrt (+ (exp x) 1)))) (/ (sqrt (sqrt (+ (exp x) 1))) (/ (- (* (exp x) (exp x)) 1) (sqrt (+ (exp x) 1)))))) * * * * [misc]progress: [ 842 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (exp x) 1) (/ 1 1)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (exp x) * [misc]simplify: Simplified (2 1) to (λ (x) (* (exp x) (/ (sqrt (+ (exp x) 1)) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (sqrt (+ (exp x) 1)) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (91 enodes) * * [misc]simplify: iters left: 1 (185 enodes) * [exit]simplify: Simplified to (/ 1 (- (exp x) 1)) * [misc]simplify: Simplified (2 2) to (λ (x) (* (exp x) (/ 1 (- (exp x) 1)))) * * * * [misc]progress: [ 843 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (exp x) 1) (/ (+ (exp x) 1) (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (108 enodes) * * [misc]simplify: iters left: 1 (228 enodes) * [exit]simplify: Simplified to (/ (* (exp x) (cbrt (sqrt (+ (exp x) 1)))) (/ (+ (exp x) 1) (cbrt (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (exp x) (cbrt (sqrt (+ (exp x) 1)))) (/ (+ (exp x) 1) (cbrt (sqrt (+ (exp x) 1))))) (/ (sqrt (+ (exp x) 1)) (/ (- (exp x) 1) (cbrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (sqrt (+ (exp x) 1)) (/ (- (exp x) 1) (cbrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ (exp x) 1))) (/ (sqrt (+ (exp x) 1)) (- (exp x) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (exp x) (cbrt (sqrt (+ (exp x) 1)))) (/ (+ (exp x) 1) (cbrt (sqrt (+ (exp x) 1))))) (* (cbrt (sqrt (+ (exp x) 1))) (/ (sqrt (+ (exp x) 1)) (- (exp x) 1))))) * * * * [misc]progress: [ 844 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (exp x) 1) (/ (+ (exp x) 1) (sqrt (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (/ (fabs (cbrt (+ (exp x) 1))) (/ (+ (exp x) 1) (exp x))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (fabs (cbrt (+ (exp x) 1))) (/ (+ (exp x) 1) (exp x))) (/ (sqrt (+ (exp x) 1)) (/ (- (exp x) 1) (sqrt (cbrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (sqrt (+ (exp x) 1)) (/ (- (exp x) 1) (sqrt (cbrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * [exit]simplify: Simplified to (* (sqrt (cbrt (+ (exp x) 1))) (/ (sqrt (+ (exp x) 1)) (- (exp x) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (fabs (cbrt (+ (exp x) 1))) (/ (+ (exp x) 1) (exp x))) (* (sqrt (cbrt (+ (exp x) 1))) (/ (sqrt (+ (exp x) 1)) (- (exp x) 1))))) * * * * [misc]progress: [ 845 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (exp x) 1) (/ (+ (exp x) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ (exp x) 1))) (/ (exp x) (+ (exp x) 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (sqrt (sqrt (+ (exp x) 1))) (/ (exp x) (+ (exp x) 1))) (/ (sqrt (+ (exp x) 1)) (/ (- (exp x) 1) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (sqrt (+ (exp x) 1)) (/ (- (exp x) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ (exp x) 1))) (/ (sqrt (+ (exp x) 1)) (- (exp x) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt (sqrt (+ (exp x) 1))) (/ (exp x) (+ (exp x) 1))) (* (sqrt (sqrt (+ (exp x) 1))) (/ (sqrt (+ (exp x) 1)) (- (exp x) 1))))) * * * * [misc]progress: [ 846 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (exp x) 1) (/ (+ (exp x) 1) (sqrt 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (/ (* (exp x) (sqrt 1)) (+ (exp x) 1)) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (exp x) (sqrt 1)) (+ (exp x) 1)) (/ (sqrt (+ (exp x) 1)) (/ (- (exp x) 1) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (sqrt (+ (exp x) 1)) (/ (- (exp x) 1) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (36 enodes) * [exit]simplify: Simplified to (/ (+ (exp x) 1) (- (exp x) 1)) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (exp x) (sqrt 1)) (+ (exp x) 1)) (/ (+ (exp x) 1) (- (exp x) 1)))) * * * * [misc]progress: [ 847 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (exp x) 1) (/ (+ (exp x) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ (exp x) 1))) (/ (exp x) (+ (exp x) 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (sqrt (sqrt (+ (exp x) 1))) (/ (exp x) (+ (exp x) 1))) (/ (sqrt (+ (exp x) 1)) (/ (- (exp x) 1) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (sqrt (+ (exp x) 1)) (/ (- (exp x) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ (exp x) 1))) (/ (sqrt (+ (exp x) 1)) (- (exp x) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt (sqrt (+ (exp x) 1))) (/ (exp x) (+ (exp x) 1))) (* (sqrt (sqrt (+ (exp x) 1))) (/ (sqrt (+ (exp x) 1)) (- (exp x) 1))))) * * * * [misc]progress: [ 848 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (exp x) 1) (/ (+ (exp x) 1) 1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (/ (exp x) (+ (exp x) 1)) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (exp x) (+ (exp x) 1)) (/ (sqrt (+ (exp x) 1)) (/ (- (exp x) 1) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (sqrt (+ (exp x) 1)) (/ (- (exp x) 1) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (36 enodes) * [exit]simplify: Simplified to (/ (+ (exp x) 1) (- (exp x) 1)) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (exp x) (+ (exp x) 1)) (/ (+ (exp x) 1) (- (exp x) 1)))) * * * * [misc]progress: [ 849 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (exp x) 1) (/ (+ (sqrt (exp (+ x x))) 1) (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (114 enodes) * * [misc]simplify: iters left: 1 (238 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ (exp x) 1))) (* (cbrt (sqrt (+ (exp x) 1))) (/ (exp x) (+ (fabs (exp x)) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (cbrt (sqrt (+ (exp x) 1))) (* (cbrt (sqrt (+ (exp x) 1))) (/ (exp x) (+ (fabs (exp x)) 1)))) (/ (sqrt (+ (exp x) 1)) (/ (- (sqrt (exp (+ x x))) 1) (cbrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (sqrt (+ (exp x) 1)) (/ (- (sqrt (exp (+ x x))) 1) (cbrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ (exp x) 1))) (/ (sqrt (+ (exp x) 1)) (- (fabs (exp x)) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (cbrt (sqrt (+ (exp x) 1))) (* (cbrt (sqrt (+ (exp x) 1))) (/ (exp x) (+ (fabs (exp x)) 1)))) (* (cbrt (sqrt (+ (exp x) 1))) (/ (sqrt (+ (exp x) 1)) (- (fabs (exp x)) 1))))) * * * * [misc]progress: [ 850 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (exp x) 1) (/ (+ (sqrt (exp (+ x x))) 1) (sqrt (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (73 enodes) * [exit]simplify: Simplified to (* (fabs (cbrt (+ (exp x) 1))) (/ (exp x) (+ (fabs (exp x)) 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (fabs (cbrt (+ (exp x) 1))) (/ (exp x) (+ (fabs (exp x)) 1))) (/ (sqrt (+ (exp x) 1)) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (cbrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (sqrt (+ (exp x) 1)) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (cbrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * [exit]simplify: Simplified to (* (sqrt (cbrt (+ (exp x) 1))) (/ (sqrt (+ (exp x) 1)) (- (fabs (exp x)) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (fabs (cbrt (+ (exp x) 1))) (/ (exp x) (+ (fabs (exp x)) 1))) (* (sqrt (cbrt (+ (exp x) 1))) (/ (sqrt (+ (exp x) 1)) (- (fabs (exp x)) 1))))) * * * * [misc]progress: [ 851 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (exp x) 1) (/ (+ (sqrt (exp (+ x x))) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (96 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ (exp x) 1))) (/ (exp x) (+ (fabs (exp x)) 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (sqrt (sqrt (+ (exp x) 1))) (/ (exp x) (+ (fabs (exp x)) 1))) (/ (sqrt (+ (exp x) 1)) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (sqrt (+ (exp x) 1)) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ (exp x) 1))) (/ (sqrt (+ (exp x) 1)) (- (fabs (exp x)) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt (sqrt (+ (exp x) 1))) (/ (exp x) (+ (fabs (exp x)) 1))) (* (sqrt (sqrt (+ (exp x) 1))) (/ (sqrt (+ (exp x) 1)) (- (fabs (exp x)) 1))))) * * * * [misc]progress: [ 852 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (exp x) 1) (/ (+ (sqrt (exp (+ x x))) 1) (sqrt 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (93 enodes) * [exit]simplify: Simplified to (/ (* (exp x) (sqrt 1)) (+ (fabs (exp x)) 1)) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (exp x) (sqrt 1)) (+ (fabs (exp x)) 1)) (/ (sqrt (+ (exp x) 1)) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (sqrt (+ (exp x) 1)) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (/ (+ (exp x) 1) (- (fabs (exp x)) 1)) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (exp x) (sqrt 1)) (+ (fabs (exp x)) 1)) (/ (+ (exp x) 1) (- (fabs (exp x)) 1)))) * * * * [misc]progress: [ 853 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (exp x) 1) (/ (+ (sqrt (exp (+ x x))) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (96 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ (exp x) 1))) (/ (exp x) (+ (fabs (exp x)) 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (sqrt (sqrt (+ (exp x) 1))) (/ (exp x) (+ (fabs (exp x)) 1))) (/ (sqrt (+ (exp x) 1)) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (sqrt (+ 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (sqrt (+ (exp x) 1)) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ (exp x) 1))) (/ (sqrt (+ (exp x) 1)) (- (fabs (exp x)) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt (sqrt (+ (exp x) 1))) (/ (exp x) (+ (fabs (exp x)) 1))) (* (sqrt (sqrt (+ (exp x) 1))) (/ (sqrt (+ (exp x) 1)) (- (fabs (exp x)) 1))))) * * * * [misc]progress: [ 854 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (exp x) 1) (/ (+ (sqrt (exp (+ x x))) 1) 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to (/ (exp x) (+ (fabs (exp x)) 1)) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (exp x) (+ (fabs (exp x)) 1)) (/ (sqrt (+ (exp x) 1)) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (sqrt (+ (exp x) 1)) (/ (- (sqrt (exp (+ x x))) 1) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (/ (+ (exp x) 1) (- (fabs (exp x)) 1)) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (exp x) (+ (fabs (exp x)) 1)) (/ (+ (exp x) 1) (- (fabs (exp x)) 1)))) * * * * [misc]progress: [ 855 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (exp x) 1) 1) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (exp x) * [misc]simplify: Simplified (2 1) to (λ (x) (* (exp x) (/ (sqrt (+ (exp x) 1)) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (sqrt (+ (exp x) 1)) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (91 enodes) * * [misc]simplify: iters left: 1 (185 enodes) * [exit]simplify: Simplified to (/ 1 (- (exp x) 1)) * [misc]simplify: Simplified (2 2) to (λ (x) (* (exp x) (/ 1 (- (exp x) 1)))) * * * * [misc]progress: [ 856 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (exp x) 1) (- (exp (+ x x)) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to (/ (exp x) (- (* (exp x) (exp x)) 1)) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (exp x) (- (* (exp x) (exp x)) 1)) (/ (sqrt (+ (exp x) 1)) (/ 1 (sqrt (+ 1 (exp x))))))) * [enter]simplify: Simplifying (/ (sqrt (+ (exp x) 1)) (/ 1 (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * [exit]simplify: Simplified to (+ (exp x) 1) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (exp x) (- (* (exp x) (exp x)) 1)) (+ (exp x) 1))) * * * * [misc]progress: [ 857 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (exp x) 1) (/ (- (exp (+ x x)) 1) (sqrt (+ (pow 1 3) (pow (exp x) 3))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (158 enodes) * * [misc]simplify: iters left: 1 (278 enodes) * [exit]simplify: Simplified to (* (/ (exp x) (- (* (exp x) (exp x)) 1)) (sqrt (+ 1 (pow (exp x) 3)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (exp x) (- (* (exp x) (exp x)) 1)) (sqrt (+ 1 (pow (exp x) 3)))) (/ (sqrt (+ (exp x) 1)) (sqrt (+ (* 1 1) (- (* (exp x) (exp x)) (* 1 (exp x)))))))) * [enter]simplify: Simplifying (/ (sqrt (+ (exp x) 1)) (sqrt (+ (* 1 1) (- (* (exp x) (exp x)) (* 1 (exp x)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (77 enodes) * * [misc]simplify: iters left: 1 (92 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (exp x) 1)) (sqrt (+ (exp (+ x x)) (- 1 (exp x))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (exp x) (- (* (exp x) (exp x)) 1)) (sqrt (+ 1 (pow (exp x) 3)))) (/ (sqrt (+ (exp x) 1)) (sqrt (+ (exp (+ x x)) (- 1 (exp x))))))) * * * * [misc]progress: [ 858 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (exp x) 1) (/ (- (exp (+ x x)) 1) (sqrt (- (* 1 1) (* (exp x) (exp x)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (206 enodes) * [exit]simplify: Simplified to (* (sqrt (- 1 (* (exp x) (exp x)))) (/ (exp x) (- (* (exp x) (exp x)) 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (sqrt (- 1 (* (exp x) (exp x)))) (/ (exp x) (- (* (exp x) (exp x)) 1))) (/ (sqrt (+ (exp x) 1)) (sqrt (- 1 (exp x)))))) * [enter]simplify: Simplifying (/ (sqrt (+ (exp x) 1)) (sqrt (- 1 (exp x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (exp x) 1)) (sqrt (- 1 (exp x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt (- 1 (* (exp x) (exp x)))) (/ (exp x) (- (* (exp x) (exp x)) 1))) (/ (sqrt (+ (exp x) 1)) (sqrt (- 1 (exp x)))))) * * * * [misc]progress: [ 859 / 997 ] simplifiying candidate # * * * * [misc]progress: [ 860 / 997 ] simplifiying candidate # * * * * [misc]progress: [ 861 / 997 ] simplifiying candidate # * * * * [misc]progress: [ 862 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (93 enodes) * [exit]simplify: Simplified to (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (* (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))) (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))))) (cbrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))))) * * * * [misc]progress: [ 863 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (93 enodes) * [exit]simplify: Simplified to (sqrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (sqrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) (sqrt (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x))))))) * * * * [misc]progress: [ 864 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (- (exp (+ x x)) 1)) (cbrt (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (64 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (exp (+ x x)) 1)) (cbrt (sqrt (+ 1 (exp x))))) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))))) (/ (cbrt (- (exp (+ x x)) 1)) (cbrt (sqrt (+ 1 (exp x))))))) * * * * [misc]progress: [ 865 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (cbrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (64 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (cbrt (+ 1 (exp x))))) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (sqrt (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x))))))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (cbrt (+ 1 (exp x))))))) * * * * [misc]progress: [ 866 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (64 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x))))) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (sqrt (sqrt (+ 1 (exp x)))))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x))))))) * * * * [misc]progress: [ 867 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (63 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (+ (exp x) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (sqrt 1))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (+ (exp x) 1))))) * * * * [misc]progress: [ 868 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (64 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x))))) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) (sqrt (sqrt (+ 1 (exp x)))))) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x))))))) * * * * [misc]progress: [ 869 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (63 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (+ (exp x) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (* (cbrt (- (exp (+ x x)) 1)) (cbrt (- (exp (+ x x)) 1))) 1)) (/ (cbrt (- (exp (+ x x)) 1)) (sqrt (+ (exp x) 1))))) * * * * [misc]progress: [ 870 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (exp (+ x x)) 1)) (cbrt (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (64 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (exp (+ x x)) 1)) (cbrt (sqrt (+ 1 (exp x))))) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (sqrt (- (exp (+ x x)) 1)) (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))))) (/ (sqrt (- (exp (+ x x)) 1)) (cbrt (sqrt (+ 1 (exp x))))))) * * * * [misc]progress: [ 871 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (cbrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (64 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (cbrt (+ 1 (exp x))))) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x))))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (cbrt (+ 1 (exp x))))))) * * * * [misc]progress: [ 872 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (64 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x))))) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x))))))) * * * * [misc]progress: [ 873 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (63 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (+ (exp x) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt 1))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (+ (exp x) 1))))) * * * * [misc]progress: [ 874 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (64 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x))))) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x)))))) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (sqrt (+ 1 (exp x))))))) * * * * [misc]progress: [ 875 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (63 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (+ (exp x) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (sqrt (- (exp (+ x x)) 1)) 1)) (/ (sqrt (- (exp (+ x x)) 1)) (sqrt (+ (exp x) 1))))) * * * * [misc]progress: [ 876 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (exp (+ x x)) 1) (cbrt (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (93 enodes) * [exit]simplify: Simplified to (/ (- (exp (+ x x)) 1) (cbrt (sqrt (+ 1 (exp x))))) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ 1 (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))))) (/ (- (exp (+ x x)) 1) (cbrt (sqrt (+ 1 (exp x))))))) * * * * [misc]progress: [ 877 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (exp (+ x x)) 1) (sqrt (cbrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (93 enodes) * [exit]simplify: Simplified to (/ (- (exp (+ x x)) 1) (sqrt (cbrt (+ 1 (exp x))))) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ 1 (sqrt (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x))))))) (/ (- (exp (+ x x)) 1) (sqrt (cbrt (+ 1 (exp x))))))) * * * * [misc]progress: [ 878 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (exp (+ x x)) 1) (sqrt (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (93 enodes) * [exit]simplify: Simplified to (/ (- (exp (+ x x)) 1) (sqrt (sqrt (+ 1 (exp x))))) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ 1 (sqrt (sqrt (+ 1 (exp x)))))) (/ (- (exp (+ x x)) 1) (sqrt (sqrt (+ 1 (exp x))))))) * * * * [misc]progress: [ 879 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (92 enodes) * [exit]simplify: Simplified to (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ 1 (sqrt 1))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) * * * * [misc]progress: [ 880 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (exp (+ x x)) 1) (sqrt (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (93 enodes) * [exit]simplify: Simplified to (/ (- (exp (+ x x)) 1) (sqrt (sqrt (+ 1 (exp x))))) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ 1 (sqrt (sqrt (+ 1 (exp x)))))) (/ (- (exp (+ x x)) 1) (sqrt (sqrt (+ 1 (exp x))))))) * * * * [misc]progress: [ 881 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (92 enodes) * [exit]simplify: Simplified to (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ 1 1)) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) * * * * [misc]progress: [ 882 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (exp x) 1) (cbrt (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (/ (- (exp x) 1) (cbrt (sqrt (+ (exp x) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (+ (exp x) 1) (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))))) (/ (- (exp x) 1) (cbrt (sqrt (+ (exp x) 1)))))) * * * * [misc]progress: [ 883 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (exp x) 1) (sqrt (cbrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (/ (- (exp x) 1) (sqrt (cbrt (+ (exp x) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (+ (exp x) 1) (sqrt (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x))))))) (/ (- (exp x) 1) (sqrt (cbrt (+ (exp x) 1)))))) * * * * [misc]progress: [ 884 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (exp x) 1) (sqrt (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (/ (- (exp x) 1) (sqrt (sqrt (+ (exp x) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (+ (exp x) 1) (sqrt (sqrt (+ 1 (exp x)))))) (/ (- (exp x) 1) (sqrt (sqrt (+ (exp x) 1)))))) * * * * [misc]progress: [ 885 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (exp x) 1) (sqrt (+ 1 (exp x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (/ (- (exp x) 1) (sqrt (+ (exp x) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (+ (exp x) 1) (sqrt 1))) (/ (- (exp x) 1) (sqrt (+ (exp x) 1))))) * * * * [misc]progress: [ 886 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (exp x) 1) (sqrt (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (/ (- (exp x) 1) (sqrt (sqrt (+ (exp x) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (+ (exp x) 1) (sqrt (sqrt (+ 1 (exp x)))))) (/ (- (exp x) 1) (sqrt (sqrt (+ (exp x) 1)))))) * * * * [misc]progress: [ 887 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (exp x) 1) (sqrt (+ 1 (exp x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (/ (- (exp x) 1) (sqrt (+ (exp x) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (+ (exp x) 1) 1)) (/ (- (exp x) 1) (sqrt (+ (exp x) 1))))) * * * * [misc]progress: [ 888 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (sqrt (exp (+ x x))) 1) (cbrt (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * [exit]simplify: Simplified to (/ (- (fabs (exp x)) 1) (cbrt (sqrt (+ (exp x) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (+ (sqrt (exp (+ x x))) 1) (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))))) (/ (- (fabs (exp x)) 1) (cbrt (sqrt (+ (exp x) 1)))))) * * * * [misc]progress: [ 889 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (sqrt (exp (+ x x))) 1) (sqrt (cbrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * [exit]simplify: Simplified to (/ (- (fabs (exp x)) 1) (sqrt (cbrt (+ (exp x) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (+ (sqrt (exp (+ x x))) 1) (sqrt (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x))))))) (/ (- (fabs (exp x)) 1) (sqrt (cbrt (+ (exp x) 1)))))) * * * * [misc]progress: [ 890 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (sqrt (exp (+ x x))) 1) (sqrt (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * [exit]simplify: Simplified to (/ (- (fabs (exp x)) 1) (sqrt (sqrt (+ (exp x) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (+ (sqrt (exp (+ x x))) 1) (sqrt (sqrt (+ 1 (exp x)))))) (/ (- (fabs (exp x)) 1) (sqrt (sqrt (+ (exp x) 1)))))) * * * * [misc]progress: [ 891 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (sqrt (exp (+ x x))) 1) (sqrt (+ 1 (exp x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (/ (- (fabs (exp x)) 1) (sqrt (+ (exp x) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (+ (sqrt (exp (+ x x))) 1) (sqrt 1))) (/ (- (fabs (exp x)) 1) (sqrt (+ (exp x) 1))))) * * * * [misc]progress: [ 892 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (sqrt (exp (+ x x))) 1) (sqrt (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * [exit]simplify: Simplified to (/ (- (fabs (exp x)) 1) (sqrt (sqrt (+ (exp x) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (+ (sqrt (exp (+ x x))) 1) (sqrt (sqrt (+ 1 (exp x)))))) (/ (- (fabs (exp x)) 1) (sqrt (sqrt (+ (exp x) 1)))))) * * * * [misc]progress: [ 893 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (sqrt (exp (+ x x))) 1) (sqrt (+ 1 (exp x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (/ (- (fabs (exp x)) 1) (sqrt (+ (exp x) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (+ (sqrt (exp (+ x x))) 1) 1)) (/ (- (fabs (exp x)) 1) (sqrt (+ (exp x) 1))))) * * * * [misc]progress: [ 894 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (92 enodes) * [exit]simplify: Simplified to (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) 1) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) * * * * [misc]progress: [ 895 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (+ 1 (exp x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (+ 1 (exp x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (- (exp (+ x x)) 1)) (/ 1 (sqrt (+ 1 (exp x)))))) * * * * [misc]progress: [ 896 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (* 1 1) (- (* (exp x) (exp x)) (* 1 (exp x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (85 enodes) * [exit]simplify: Simplified to (sqrt (- (exp (+ x x)) (- (exp x) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp (+ x x)) 1) (sqrt (+ (pow 1 3) (pow (exp x) 3))))) (sqrt (- (exp (+ x x)) (- (exp x) 1))))) * * * * [misc]progress: [ 897 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- 1 (exp x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * [exit]simplify: Simplified to (sqrt (- 1 (exp x))) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (exp (+ x x)) 1) (sqrt (- (* 1 1) (* (exp x) (exp x)))))) (sqrt (- 1 (exp x))))) * * * * [misc]progress: [ 898 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (cbrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (36 enodes) * [exit]simplify: Simplified to (* (cbrt (* (exp x) (sqrt (+ (exp x) 1)))) (cbrt (* (exp x) (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (* (cbrt (* (exp x) (sqrt (+ (exp x) 1)))) (cbrt (* (exp x) (sqrt (+ (exp x) 1))))) (/ (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))) (cbrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))))))) * * * * [misc]progress: [ 899 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (sqrt (* (sqrt (+ (exp x) 1)) (exp x))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (sqrt (* (sqrt (+ (exp x) 1)) (exp x))) (/ (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))) (sqrt (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))))))) * * * * [misc]progress: [ 900 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (exp x)) (cbrt (exp x))) (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (cbrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (* (/ (cbrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (cbrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))) (/ (cbrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))))) * * * * [misc]progress: [ 901 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))) (/ (cbrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1)))))))) * * * * [misc]progress: [ 902 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (exp x)) (cbrt (exp x))) 1) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * [exit]simplify: Simplified to (* (cbrt (exp x)) (cbrt (exp x))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (* (cbrt (exp x)) (cbrt (exp x))) (/ (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))) (/ (cbrt (exp x)) (/ 1 (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 903 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (exp x)) (cbrt (exp x))) 1) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * [exit]simplify: Simplified to (* (cbrt (exp x)) (cbrt (exp x))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (* (cbrt (exp x)) (cbrt (exp x))) (/ (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))) (/ (cbrt (exp x)) (/ 1 (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 904 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (exp x)) (cbrt (exp x))) (/ 1 (sqrt (+ (pow (exp x) 3) (pow 1 3))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (242 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (pow (exp x) 3) 1)) (* (cbrt (exp x)) (cbrt (exp x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (* (sqrt (+ (pow (exp x) 3) 1)) (* (cbrt (exp x)) (cbrt (exp x)))) (/ (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))) (/ (cbrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1)))))))) * * * * [misc]progress: [ 905 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (exp x)) (cbrt (exp x))) (/ 1 (sqrt (- (* (exp x) (exp x)) (* 1 1))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (112 enodes) * * [misc]simplify: iters left: 1 (275 enodes) * [exit]simplify: Simplified to (* (sqrt (- (* (exp x) (exp x)) 1)) (* (cbrt (exp x)) (cbrt (exp x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (* (sqrt (- (* (exp x) (exp x)) 1)) (* (cbrt (exp x)) (cbrt (exp x)))) (/ (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))) (/ (cbrt (exp x)) (sqrt (- (exp x) 1)))))) * * * * [misc]progress: [ 906 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (exp x)) (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (/ (sqrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))) (/ (sqrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))))) * * * * [misc]progress: [ 907 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (sqrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (sqrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))) (/ (sqrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1)))))))) * * * * [misc]progress: [ 908 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (exp x)) 1) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (sqrt (exp x)) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (sqrt (exp x)) (/ (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))) (/ (sqrt (exp x)) (/ 1 (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 909 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (exp x)) 1) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (sqrt (exp x)) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (sqrt (exp x)) (/ (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))) (/ (sqrt (exp x)) (/ 1 (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 910 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (exp x)) (/ 1 (sqrt (+ (pow (exp x) 3) (pow 1 3))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (* (sqrt (exp x)) (sqrt (+ (pow (exp x) 3) 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (* (sqrt (exp x)) (sqrt (+ (pow (exp x) 3) 1))) (/ (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))) (/ (sqrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1)))))))) * * * * [misc]progress: [ 911 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (exp x)) (/ 1 (sqrt (- (* (exp x) (exp x)) (* 1 1))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (86 enodes) * [exit]simplify: Simplified to (* (sqrt (exp x)) (sqrt (- (* (exp x) (exp x)) 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (* (sqrt (exp x)) (sqrt (- (* (exp x) (exp x)) 1))) (/ (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))) (/ (sqrt (exp x)) (sqrt (- (exp x) 1)))))) * * * * [misc]progress: [ 912 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (/ 1 (sqrt (+ 1 (exp x)))))) (cbrt (/ 1 (sqrt (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (/ 1 (cbrt (/ 1 (sqrt (+ 1 (exp x)))))) (cbrt (/ 1 (sqrt (+ 1 (exp x)))))) (/ (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))) (/ (exp x) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))))) * * * * [misc]progress: [ 913 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (/ 1 (sqrt (+ (exp x) 1))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (/ 1 (sqrt (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ 1 (sqrt (/ 1 (sqrt (+ 1 (exp x)))))) (/ (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))) (/ (exp x) (sqrt (/ 1 (sqrt (+ (exp x) 1)))))))) * * * * [misc]progress: [ 914 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (x) (/ 1 (/ (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))) (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 915 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (x) (/ 1 (/ (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))) (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 916 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ 1 (sqrt (+ (pow (exp x) 3) (pow 1 3))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 (pow (exp x) 3))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (sqrt (+ 1 (pow (exp x) 3))) (/ (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))) (/ (exp x) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1)))))))) * * * * [misc]progress: [ 917 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ 1 (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 (22 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (68 enodes) * [exit]simplify: Simplified to (sqrt (- (exp (+ x x)) 1)) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (sqrt (- (exp (+ x x)) 1)) (/ (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))) (/ (exp x) (sqrt (- (exp x) 1)))))) * * * * [misc]progress: [ 918 / 997 ] simplifiying candidate # * * * * [misc]progress: [ 919 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (exp x) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (exp x) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (exp x) (/ (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))) (/ 1 (/ 1 (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 920 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp x) 1) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * * [misc]simplify: iters left: 1 (8 enodes) * [exit]simplify: Simplified to (exp x) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (exp x) (/ (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))) (sqrt (+ (exp x) 1))))) * * * * [misc]progress: [ 921 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ 1 (exp x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 (exp x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (- (exp (+ x x)) 1)) (sqrt (+ 1 (exp x))))) * * * * [misc]progress: [ 922 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (exp x) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (exp x) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (exp x) (* (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))) (/ 1 (sqrt (+ (exp x) 1)))))) * * * * [misc]progress: [ 923 / 997 ] simplifiying candidate # * * * * [misc]progress: [ 924 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (- x (- (log (sqrt (+ (exp x) 1))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (+ x (log (sqrt (+ (exp x) 1)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (exp (+ x (log (sqrt (+ (exp x) 1))))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) * * * * [misc]progress: [ 925 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (- x (log (/ 1 (sqrt (+ (exp x) 1))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (+ x (log (sqrt (+ 1 (exp x))))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (exp (+ x (log (sqrt (+ 1 (exp x)))))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) * * * * [misc]progress: [ 926 / 997 ] simplifiying candidate # * * * * [misc]progress: [ 927 / 997 ] simplifiying candidate # * * * * [misc]progress: [ 928 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (exp x) (exp x)) (exp x)) (* (* (/ 1 (sqrt (+ (exp x) 1))) (/ 1 (sqrt (+ (exp x) 1)))) (/ 1 (sqrt (+ (exp x) 1))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (285 enodes) * [exit]simplify: Simplified to (pow (* (exp x) (sqrt (+ (exp x) 1))) 3) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (cbrt (pow (* (exp x) (sqrt (+ (exp x) 1))) 3)) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) * * * * [misc]progress: [ 929 / 997 ] simplifiying candidate # * * * * [misc]progress: [ 930 / 997 ] simplifiying candidate # * * * * [misc]progress: [ 931 / 997 ] simplifiying candidate # * * * * [misc]progress: [ 932 / 997 ] simplifiying candidate # * * * * [misc]progress: [ 933 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (exp x)) (cbrt (exp x))) (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (cbrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (* (/ (cbrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (cbrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (cbrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) * [enter]simplify: Simplifying (/ (cbrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (cbrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (* (cbrt (exp x)) (cbrt (exp x))) (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (cbrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) * * * * [misc]progress: [ 934 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (cbrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) * [enter]simplify: Simplifying (/ (cbrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (cbrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (cbrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) * * * * [misc]progress: [ 935 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (exp x)) (cbrt (exp x))) 1) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * [exit]simplify: Simplified to (* (cbrt (exp x)) (cbrt (exp x))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (* (cbrt (exp x)) (cbrt (exp x))) (/ (cbrt (exp x)) (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) * [enter]simplify: Simplifying (/ (cbrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (exp x) 1)) (cbrt (exp x))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (* (cbrt (exp x)) (cbrt (exp x))) (* (sqrt (+ (exp x) 1)) (cbrt (exp x)))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) * * * * [misc]progress: [ 936 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (exp x)) (cbrt (exp x))) 1) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * [exit]simplify: Simplified to (* (cbrt (exp x)) (cbrt (exp x))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (* (cbrt (exp x)) (cbrt (exp x))) (/ (cbrt (exp x)) (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) * [enter]simplify: Simplifying (/ (cbrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (exp x) 1)) (cbrt (exp x))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (* (cbrt (exp x)) (cbrt (exp x))) (* (sqrt (+ (exp x) 1)) (cbrt (exp x)))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) * * * * [misc]progress: [ 937 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (exp x)) (cbrt (exp x))) (/ 1 (sqrt (+ (pow (exp x) 3) (pow 1 3))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (242 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (pow (exp x) 3) 1)) (* (cbrt (exp x)) (cbrt (exp x)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (* (sqrt (+ (pow (exp x) 3) 1)) (* (cbrt (exp x)) (cbrt (exp x)))) (/ (cbrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1)))))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) * [enter]simplify: Simplifying (/ (cbrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (112 enodes) * [exit]simplify: Simplified to (/ (cbrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- 1 (exp x))))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (* (sqrt (+ (pow (exp x) 3) 1)) (* (cbrt (exp x)) (cbrt (exp x)))) (/ (cbrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- 1 (exp x)))))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) * * * * [misc]progress: [ 938 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (exp x)) (cbrt (exp x))) (/ 1 (sqrt (- (* (exp x) (exp x)) (* 1 1))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (112 enodes) * * [misc]simplify: iters left: 1 (275 enodes) * [exit]simplify: Simplified to (* (sqrt (- (* (exp x) (exp x)) 1)) (* (cbrt (exp x)) (cbrt (exp x)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (* (sqrt (- (* (exp x) (exp x)) 1)) (* (cbrt (exp x)) (cbrt (exp x)))) (/ (cbrt (exp x)) (sqrt (- (exp x) 1)))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) * [enter]simplify: Simplifying (/ (cbrt (exp x)) (sqrt (- (exp x) 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (/ (cbrt (exp x)) (sqrt (- (exp x) 1))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (* (sqrt (- (* (exp x) (exp x)) 1)) (* (cbrt (exp x)) (cbrt (exp x)))) (/ (cbrt (exp x)) (sqrt (- (exp x) 1)))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) * * * * [misc]progress: [ 939 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (exp x)) (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ (/ (sqrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) * [enter]simplify: Simplifying (/ (sqrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (sqrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (sqrt (exp x)) (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (sqrt (exp x)) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) * * * * [misc]progress: [ 940 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (sqrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ (sqrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) * [enter]simplify: Simplifying (/ (sqrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (sqrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (sqrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (sqrt (exp x)) (sqrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) * * * * [misc]progress: [ 941 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (exp x)) 1) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (sqrt (exp x)) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (sqrt (exp x)) (/ (sqrt (exp x)) (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) * [enter]simplify: Simplifying (/ (sqrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (exp x) 1)) (sqrt (exp x))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (sqrt (exp x)) (* (sqrt (+ (exp x) 1)) (sqrt (exp x)))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) * * * * [misc]progress: [ 942 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (exp x)) 1) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (sqrt (exp x)) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (sqrt (exp x)) (/ (sqrt (exp x)) (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) * [enter]simplify: Simplifying (/ (sqrt (exp x)) (/ 1 (sqrt (+ (exp x) 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (exp x) 1)) (sqrt (exp x))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (sqrt (exp x)) (* (sqrt (+ (exp x) 1)) (sqrt (exp x)))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) * * * * [misc]progress: [ 943 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (exp x)) (/ 1 (sqrt (+ (pow (exp x) 3) (pow 1 3))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (* (sqrt (exp x)) (sqrt (+ (pow (exp x) 3) 1))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (* (sqrt (exp x)) (sqrt (+ (pow (exp x) 3) 1))) (/ (sqrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1)))))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) * [enter]simplify: Simplifying (/ (sqrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (112 enodes) * [exit]simplify: Simplified to (/ (sqrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- 1 (exp x))))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (* (sqrt (exp x)) (sqrt (+ (pow (exp x) 3) 1))) (/ (sqrt (exp x)) (sqrt (+ (* (exp x) (exp x)) (- 1 (exp x)))))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) * * * * [misc]progress: [ 944 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (exp x)) (/ 1 (sqrt (- (* (exp x) (exp x)) (* 1 1))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (86 enodes) * [exit]simplify: Simplified to (* (sqrt (exp x)) (sqrt (- (* (exp x) (exp x)) 1))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (* (sqrt (exp x)) (sqrt (- (* (exp x) (exp x)) 1))) (/ (sqrt (exp x)) (sqrt (- (exp x) 1)))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) * [enter]simplify: Simplifying (/ (sqrt (exp x)) (sqrt (- (exp x) 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (/ (sqrt (exp x)) (sqrt (- (exp x) 1))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (* (sqrt (exp x)) (sqrt (- (* (exp x) (exp x)) 1))) (/ (sqrt (exp x)) (sqrt (- (exp x) 1)))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) * * * * [misc]progress: [ 945 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (/ 1 (sqrt (+ 1 (exp x)))))) (cbrt (/ 1 (sqrt (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ (/ 1 (cbrt (/ 1 (sqrt (+ 1 (exp x)))))) (cbrt (/ 1 (sqrt (+ 1 (exp x)))))) (/ (exp x) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) * [enter]simplify: Simplifying (/ (exp x) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (exp x) (cbrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ 1 (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (exp x) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) * * * * [misc]progress: [ 946 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (/ 1 (sqrt (+ (exp x) 1))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (/ 1 (sqrt (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ 1 (sqrt (/ 1 (sqrt (+ 1 (exp x)))))) (/ (exp x) (sqrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) * [enter]simplify: Simplifying (/ (exp x) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (exp x) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ 1 (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (/ (exp x) (sqrt (/ 1 (sqrt (+ (exp x) 1)))))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) * * * * [misc]progress: [ 947 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* 1 (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) * [enter]simplify: Simplifying (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (exp x) 1)) (exp x)) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* 1 (* (sqrt (+ (exp x) 1)) (exp x))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) * * * * [misc]progress: [ 948 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* 1 (/ (exp x) (/ 1 (sqrt (+ (exp x) 1))))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) * [enter]simplify: Simplifying (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (exp x) 1)) (exp x)) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* 1 (* (sqrt (+ (exp x) 1)) (exp x))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) * * * * [misc]progress: [ 949 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ 1 (sqrt (+ (pow (exp x) 3) (pow 1 3))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 (pow (exp x) 3))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (sqrt (+ 1 (pow (exp x) 3))) (/ (exp x) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1)))))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) * [enter]simplify: Simplifying (/ (exp x) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (155 enodes) * [exit]simplify: Simplified to (/ (exp x) (sqrt (+ (exp (+ x x)) (- 1 (exp x))))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (sqrt (+ 1 (pow (exp x) 3))) (/ (exp x) (sqrt (+ (exp (+ x x)) (- 1 (exp x)))))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) * * * * [misc]progress: [ 950 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ 1 (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 (22 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (68 enodes) * [exit]simplify: Simplified to (sqrt (- (exp (+ x x)) 1)) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (sqrt (- (exp (+ x x)) 1)) (/ (exp x) (sqrt (- (exp x) 1)))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) * [enter]simplify: Simplifying (/ (exp x) (sqrt (- (exp x) 1))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (/ (exp x) (sqrt (- (exp x) 1))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (sqrt (- (exp (+ x x)) 1)) (/ (exp x) (sqrt (- (exp x) 1)))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) * * * * [misc]progress: [ 951 / 997 ] simplifiying candidate # * * * * [misc]progress: [ 952 / 997 ] simplifiying candidate # * * * * [misc]progress: [ 953 / 997 ] simplifiying candidate # * * * * [misc]progress: [ 954 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 1 (sqrt (+ (exp x) 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (cbrt (/ 1 (sqrt (+ 1 (exp x))))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (/ (/ (exp x) (* (cbrt (/ 1 (sqrt (+ (exp x) 1)))) (cbrt (/ 1 (sqrt (+ (exp x) 1)))))) (cbrt (/ 1 (sqrt (+ 1 (exp x)))))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) * * * * [misc]progress: [ 955 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 1 (sqrt (+ (exp x) 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (sqrt (/ 1 (sqrt (+ 1 (exp x))))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (/ (/ (exp x) (sqrt (/ 1 (sqrt (+ (exp x) 1))))) (sqrt (/ 1 (sqrt (+ 1 (exp x)))))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) * * * * [misc]progress: [ 956 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (+ (exp x) 1))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (+ 1 (exp x)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (/ (/ (exp x) 1) (/ 1 (sqrt (+ 1 (exp x))))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) * * * * [misc]progress: [ 957 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (+ (exp x) 1))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (+ 1 (exp x)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (/ (/ (exp x) 1) (/ 1 (sqrt (+ 1 (exp x))))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) * * * * [misc]progress: [ 958 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (123 enodes) * [exit]simplify: Simplified to (sqrt (+ (exp (+ x x)) (- 1 (exp x)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (/ (/ (exp x) (/ 1 (sqrt (+ (pow (exp x) 3) (pow 1 3))))) (sqrt (+ (exp (+ x x)) (- 1 (exp x))))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) * * * * [misc]progress: [ 959 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (exp x) 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * [exit]simplify: Simplified to (sqrt (- (exp x) 1)) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (/ (/ (exp x) (/ 1 (sqrt (- (* (exp x) (exp x)) (* 1 1))))) (sqrt (- (exp x) 1))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) * * * * [misc]progress: [ 960 / 997 ] 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) (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (/ (/ 1 (sqrt (+ (exp x) 1))) (cbrt (exp x)))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) * * * * [misc]progress: [ 961 / 997 ] 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 (exp x)) (/ (/ 1 (sqrt (+ (exp x) 1))) (sqrt (exp x)))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) * * * * [misc]progress: [ 962 / 997 ] simplifiying candidate # * * * * [misc]progress: [ 963 / 997 ] 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 2) to (λ (x) (/ (* (/ (exp x) 1) (sqrt (+ (exp x) 1))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) * * * * [misc]progress: [ 964 / 997 ] simplifiying candidate # * * * * [misc]progress: [ 965 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1/2) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (- 1/2) * [misc]simplify: Simplified (2 1 2 2) to (λ (x) (/ (/ (exp x) (pow (+ (exp x) 1) (- 1/2))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) * * * * [misc]progress: [ 966 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (- 1) * [misc]simplify: Simplified (2 1 2 2) to (λ (x) (/ (/ (exp x) (pow (sqrt (+ (exp x) 1)) (- 1))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) * * * * [misc]progress: [ 967 / 997 ] simplifiying candidate # * * * * [misc]progress: [ 968 / 997 ] simplifiying candidate # * * * * [misc]progress: [ 969 / 997 ] simplifiying candidate # * * * * [misc]progress: [ 970 / 997 ] simplifiying candidate # * * * * [misc]progress: [ 971 / 997 ] simplifiying candidate # * * * * [misc]progress: [ 972 / 997 ] simplifiying candidate # * * * * [misc]progress: [ 973 / 997 ] simplifiying candidate # * * * * [misc]progress: [ 974 / 997 ] simplifiying candidate # * * * * [misc]progress: [ 975 / 997 ] simplifiying candidate # * * * * [misc]progress: [ 976 / 997 ] simplifiying candidate # * * * * [misc]progress: [ 977 / 997 ] simplifiying candidate # * * * * [misc]progress: [ 978 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (+ (exp x) 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ (exp x) 1))) * [misc]simplify: Simplified (2 1 2 2) to (λ (x) (/ (/ (exp x) (/ (/ 1 (* (cbrt (sqrt (+ (exp x) 1))) (cbrt (sqrt (+ (exp x) 1))))) (cbrt (sqrt (+ (exp x) 1))))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) * * * * [misc]progress: [ 979 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (+ (exp x) 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (+ (exp x) 1))) * [misc]simplify: Simplified (2 1 2 2) to (λ (x) (/ (/ (exp x) (/ (/ 1 (sqrt (* (cbrt (+ (exp x) 1)) (cbrt (+ (exp x) 1))))) (sqrt (cbrt (+ (exp x) 1))))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) * * * * [misc]progress: [ 980 / 997 ] 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 2 2) to (λ (x) (/ (/ (exp x) (/ (/ 1 (sqrt (sqrt (+ (exp x) 1)))) (sqrt (sqrt (+ (exp x) 1))))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) * * * * [misc]progress: [ 981 / 997 ] 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 2 2) to (λ (x) (/ (/ (exp x) (/ (/ 1 (sqrt 1)) (sqrt (+ (exp x) 1)))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) * * * * [misc]progress: [ 982 / 997 ] 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 2 2) to (λ (x) (/ (/ (exp x) (/ (/ 1 (sqrt (sqrt (+ (exp x) 1)))) (sqrt (sqrt (+ (exp x) 1))))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) * * * * [misc]progress: [ 983 / 997 ] 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 2 2) to (λ (x) (/ (/ (exp x) (/ (/ 1 1) (sqrt (+ (exp x) 1)))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) * * * * [misc]progress: [ 984 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (123 enodes) * [exit]simplify: Simplified to (sqrt (+ (exp (+ x x)) (- 1 (exp x)))) * [misc]simplify: Simplified (2 1 2 2) to (λ (x) (/ (/ (exp x) (* (/ 1 (sqrt (+ (pow (exp x) 3) (pow 1 3)))) (sqrt (+ (exp (+ x x)) (- 1 (exp x)))))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) * * * * [misc]progress: [ 985 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (exp x) 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * [exit]simplify: Simplified to (sqrt (- (exp x) 1)) * [misc]simplify: Simplified (2 1 2 2) to (λ (x) (/ (/ (exp x) (* (/ 1 (sqrt (- (* (exp x) (exp x)) (* 1 1)))) (sqrt (- (exp x) 1)))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) * * * * [misc]progress: [ 986 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 2 x) (+ (* 4/3 (pow x 3)) (* 2 (pow x 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (157 enodes) * * [misc]simplify: iters left: 1 (249 enodes) * [exit]simplify: Simplified to (+ (* (+ 1 x) (* 2 x)) (* (* 4/3 x) (* x x))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (+ (* (+ 1 x) (* 2 x)) (* (* 4/3 x) (* x x))) (sqrt (+ 1 (exp x)))))) * * * * [misc]progress: [ 987 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (- (exp (* 2 x)) 1) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * * [misc]simplify: iters left: 1 (25 enodes) * [exit]simplify: Simplified to (- (* (exp x) (exp x)) 1) * [misc]simplify: Simplified (2 2 1) to (λ (x) (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (* (exp x) (exp x)) 1) (sqrt (+ 1 (exp x)))))) * * * * [misc]progress: [ 988 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (- (exp (* 2 x)) 1) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * * [misc]simplify: iters left: 1 (25 enodes) * [exit]simplify: Simplified to (- (* (exp x) (exp x)) 1) * [misc]simplify: Simplified (2 2 1) to (λ (x) (/ (/ (exp x) (/ 1 (sqrt (+ (exp x) 1)))) (/ (- (* (exp x) (exp x)) 1) (sqrt (+ 1 (exp x)))))) * * * * [misc]progress: [ 989 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/4 x) (+ (* 1/2 (/ (pow (sqrt 2) 2) x)) 1/2)) (* 1/12 (* (pow (sqrt 2) 2) x))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (183 enodes) * * [misc]simplify: iters left: 2 (295 enodes) * * [misc]simplify: iters left: 1 (408 enodes) * [exit]simplify: Simplified to (- (+ 1/2 (* 1/4 x)) (* (- (* 1/12 x) (/ 1/2 x)) 2)) * [misc]simplify: Simplified (2) to (λ (x) (- (+ 1/2 (* 1/4 x)) (* (- (* 1/12 x) (/ 1/2 x)) 2))) * * * * [misc]progress: [ 990 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (exp x) (+ (exp x) 1)) (- (exp (* 2 x)) 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (179 enodes) * * [misc]simplify: iters left: 1 (499 enodes) * [exit]simplify: Simplified to (/ (exp x) (- (exp x) 1)) * [misc]simplify: Simplified (2) to (λ (x) (/ (exp x) (- (exp x) 1))) * * * * [misc]progress: [ 991 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (exp x) (+ (exp x) 1)) (- (exp (* 2 x)) 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (179 enodes) * * [misc]simplify: iters left: 1 (499 enodes) * [exit]simplify: Simplified to (/ (exp x) (- (exp x) 1)) * [misc]simplify: Simplified (2) to (λ (x) (/ (exp x) (- (exp x) 1))) * * * * [misc]progress: [ 992 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (sqrt 2) (+ (* 3/4 (/ (pow x 2) (sqrt 2))) (+ (* (sqrt 2) x) (+ (* 1/2 (* (sqrt 2) (pow x 2))) (* 1/2 (/ x (sqrt 2))))))) (* 1/8 (/ (pow x 2) (pow (sqrt 2) 3)))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (168 enodes) * [exit]simplify: Simplified to (+ (+ (* (* (* 1/2 x) x) (sqrt 2)) (+ (* x (sqrt 2)) (/ (* 1/2 x) (sqrt 2)))) (+ (* (/ (* x x) (sqrt 2)) (- 3/4 (/ 1/8 2))) (sqrt 2))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (+ (+ (* (* (* 1/2 x) x) (sqrt 2)) (+ (* x (sqrt 2)) (/ (* 1/2 x) (sqrt 2)))) (+ (* (/ (* x x) (sqrt 2)) (- 3/4 (/ 1/8 2))) (sqrt 2))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) * * * * [misc]progress: [ 993 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (* (exp x) (sqrt (+ (exp x) 1))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (* (exp x) (sqrt (+ (exp x) 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (* (exp x) (sqrt (+ (exp x) 1))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) * * * * [misc]progress: [ 994 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (* (exp x) (sqrt (+ (exp x) 1))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (* (exp x) (sqrt (+ (exp x) 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (* (exp x) (sqrt (+ (exp x) 1))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) * * * * [misc]progress: [ 995 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (/ 1 (sqrt 2)) (* 3/8 (/ (pow x 2) (pow (sqrt 2) 5)))) (+ (* 1/2 (/ x (pow (sqrt 2) 3))) (* 1/4 (/ (pow x 2) (pow (sqrt 2) 3))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (118 enodes) * * [misc]simplify: iters left: 3 (303 enodes) * [exit]simplify: Simplified to (- (+ (/ (* (* x x) 3/8) (pow (sqrt 2) 5)) (/ 1 (sqrt 2))) (* (/ x 2) (+ (/ 1/2 (sqrt 2)) (/ (* x 1/4) (sqrt 2))))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (/ (exp x) (- (+ (/ (* (* x x) 3/8) (pow (sqrt 2) 5)) (/ 1 (sqrt 2))) (* (/ x 2) (+ (/ 1/2 (sqrt 2)) (/ (* x 1/4) (sqrt 2)))))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) * * * * [misc]progress: [ 996 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 1 (+ (exp x) 1))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (sqrt (/ 1 (+ 1 (exp x)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (/ (exp x) (sqrt (/ 1 (+ 1 (exp x))))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) * * * * [misc]progress: [ 997 / 997 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 1 (+ (exp x) 1))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (sqrt (/ 1 (+ 1 (exp x)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (/ (exp x) (sqrt (/ 1 (+ 1 (exp x))))) (/ (- (exp (+ x x)) 1) (sqrt (+ 1 (exp x)))))) * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime: Finding splitpoints for: (# # # # # #) * * * [misc]regime-changes: Trying 2 branch expressions: (x (exp x)) * * * * [misc]regimes: Trying to branch on x from (# # # # # #) * * * * [misc]regimes: Trying to branch on (exp x) from (# # # # # #) * * * * [misc]regimes: Trying to branch on (exp x) from (# #) * * * [misc]regime: Found split indices: #