* [misc]progress: [Phase 1 of 3] Setting up. * * * [misc]progress: [1/2] Preparing points * * * * [misc]points: Sampling 256 additional inputs, on iter 0 have 0 / 256 * * * * [misc]points: Computing exacts on every 16 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Setting MPFR precision to 832 * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 8 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 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 59 additional inputs, on iter 1 have 197 / 256 * * * * [misc]points: Computing exacts on every 3 of 59 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 59 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 18 additional inputs, on iter 2 have 238 / 256 * * * * [misc]points: Computing exacts for 18 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 3 have 253 / 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 256 points with exact outputs * * * [misc]progress: [2/2] Setting up program. * [misc]progress: [Phase 2 of 3] Improving. * [enter]simplify: Simplifying (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (95 enodes) * [exit]simplify: Simplified to (sqrt (+ (exp x) 1)) * * [misc]progress: iteration 1 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 2 ] rewriting at (2 1) * * * * [misc]progress: [ 2 / 2 ] rewriting at (2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 2 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (+ (exp x) 1) in (x) around 0 * [misc]taylor: Taking taylor expansion of (+ (exp x) 1) in x * [misc]taylor: Taking taylor expansion of (exp x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (exp x) 1) in x * [misc]taylor: Taking taylor expansion of (exp x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ (* 1/2 (pow x 2)) (+ (* 1 x) 2)) into (+ x (+ (* 1/2 (pow x 2)) 2)) * [misc]approximate: Taking taylor expansion of (+ (exp (/ 1 x)) 1) in (x) around 0 * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 x)) 1) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 x)) 1) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (/ 1 x)) 1) into (+ (exp (/ 1 x)) 1) * [misc]backup-simplify: Simplify (+ (exp (/ 1 x)) 1) into (+ (exp (/ 1 x)) 1) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (exp (/ 1 (/ 1 x))) 1) into (+ (exp x) 1) * [misc]approximate: Taking taylor expansion of (+ (exp (/ 1 (- x))) 1) in (x) around 0 * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 (- x))) 1) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 (- x))) 1) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (/ -1 x)) 1) into (+ (exp (/ -1 x)) 1) * [misc]backup-simplify: Simplify (+ (exp (/ -1 x)) 1) into (+ (exp (/ -1 x)) 1) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (exp (/ -1 (/ 1 (- x)))) 1) into (+ (exp x) 1) * * * * [misc]progress: [ 2 / 2 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (sqrt (+ (exp x) 1)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp x) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (exp x) 1) in x * [misc]taylor: Taking taylor expansion of (exp x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 2))) into (/ 1/2 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp x) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (exp x) 1) in x * [misc]taylor: Taking taylor expansion of (exp x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 2))) into (/ 1/2 (sqrt 2)) * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 1/2 (sqrt 2)) into (/ 1/2 (sqrt 2)) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (/ (- 1/2 (pow (/ 1/2 (sqrt 2)) 2) (+)) (* 2 (sqrt 2))) into (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))) * [misc]backup-simplify: Simplify (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))) into (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))) * [misc]backup-simplify: Simplify (+ (* (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))) (pow x 2)) (+ (* (/ 1/2 (sqrt 2)) x) (sqrt 2))) into (- (+ (sqrt 2) (+ (* 1/4 (/ (pow x 2) (sqrt 2))) (* 1/2 (/ x (sqrt 2))))) (* 1/8 (/ (pow x 2) (pow (sqrt 2) 3)))) * [misc]approximate: Taking taylor expansion of (sqrt (+ (exp (/ 1 x)) 1)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (/ 1 x)) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 x)) 1) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (/ 1 x)) 1) into (+ (exp (/ 1 x)) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (/ 1 x)) 1)) into (sqrt (+ (exp (/ 1 x)) 1)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (/ 1 x)) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (/ 1 x)) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 x)) 1) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (/ 1 x)) 1) into (+ (exp (/ 1 x)) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (/ 1 x)) 1)) into (sqrt (+ (exp (/ 1 x)) 1)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (/ 1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify (sqrt (+ (exp (/ 1 x)) 1)) into (sqrt (+ (exp (/ 1 x)) 1)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (/ 1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ 1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ 1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ 1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ 1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (+ (exp (/ 1 (/ 1 x))) 1)) into (sqrt (+ (exp x) 1)) * [misc]approximate: Taking taylor expansion of (sqrt (+ (exp (/ 1 (- x))) 1)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (/ 1 (- x))) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 (- x))) 1) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (/ -1 x)) 1) into (+ (exp (/ -1 x)) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (/ -1 x)) 1)) into (sqrt (+ (exp (/ -1 x)) 1)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (/ -1 x)) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (/ 1 (- x))) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 (- x))) 1) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (/ -1 x)) 1) into (+ (exp (/ -1 x)) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (/ -1 x)) 1)) into (sqrt (+ (exp (/ -1 x)) 1)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (/ -1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify (sqrt (+ (exp (/ -1 x)) 1)) into (sqrt (+ (exp (/ -1 x)) 1)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (/ -1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ -1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ -1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ -1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ -1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (+ (exp (/ -1 (/ 1 (- x)))) 1)) into (sqrt (+ (exp x) 1)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (+ (exp x) 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (expm1 (+ (exp x) 1)) * [exit]simplify: Simplified to (expm1 (+ (exp x) 1)) * * * * [misc]progress: [ 2 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (+ (exp x) 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (log1p (+ (exp x) 1)) * [exit]simplify: Simplified to (log1p (+ (exp x) 1)) * * * * [misc]progress: [ 3 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (exp x) 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (log1p (exp x)) * [exit]simplify: Simplified to (log1p (exp x)) * * * * [misc]progress: [ 8 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (+ (exp x) 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * [exit]simplify: Simplified to (* (exp (exp x)) E) * [exit]simplify: Simplified to (* (exp (exp x)) E) * * * * [misc]progress: [ 9 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ (exp x) 1)) (cbrt (+ (exp x) 1))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (exp x) 1)) (cbrt (+ (exp x) 1))) * [exit]simplify: Simplified to (* (cbrt (+ (exp x) 1)) (cbrt (+ (exp x) 1))) * [enter]simplify: Simplifying (cbrt (+ (exp x) 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (cbrt (+ (exp x) 1)) * [exit]simplify: Simplified to (cbrt (+ (exp x) 1)) * * * * [misc]progress: [ 10 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (exp x) 1) (+ (exp x) 1)) (+ (exp x) 1)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (196 enodes) * [exit]simplify: Simplified to (pow (+ (exp x) 1) 3) * [exit]simplify: Simplified to (pow (+ (exp x) 1) 3) * * * * [misc]progress: [ 11 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (exp x) 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (+ (exp x) 1)) * [exit]simplify: Simplified to (sqrt (+ (exp x) 1)) * [enter]simplify: Simplifying (sqrt (+ (exp x) 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (+ (exp x) 1)) * [exit]simplify: Simplified to (sqrt (+ (exp x) 1)) * * * * [misc]progress: [ 12 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow (exp x) 3) (pow 1 3)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * * [misc]simplify: iters left: 1 (23 enodes) * [exit]simplify: Simplified to (fma (exp (+ x x)) (exp x) 1) * [exit]simplify: Simplified to (fma (exp (+ x x)) (exp x) 1) * [enter]simplify: Simplifying (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (133 enodes) * [exit]simplify: Simplified to (fma (exp x) (expm1 x) 1) * [exit]simplify: Simplified to (fma (exp x) (expm1 x) 1) * * * * [misc]progress: [ 13 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (exp x) (exp x)) (* 1 1)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (expm1 (+ x x)) * [exit]simplify: Simplified to (expm1 (+ x x)) * [enter]simplify: Simplifying (- (exp x) 1) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * * [misc]simplify: iters left: 1 (10 enodes) * [exit]simplify: Simplified to (expm1 x) * [exit]simplify: Simplified to (expm1 x) * * * * [misc]progress: [ 15 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (sqrt (+ (exp x) 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (expm1 (sqrt (+ (exp x) 1))) * [exit]simplify: Simplified to (expm1 (sqrt (+ (exp x) 1))) * * * * [misc]progress: [ 17 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (sqrt (+ (exp x) 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (log1p (sqrt (+ (exp x) 1))) * [exit]simplify: Simplified to (log1p (sqrt (+ (exp x) 1))) * * * * [misc]progress: [ 18 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (+ (exp x) 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (log (sqrt (+ (exp x) 1))) * [exit]simplify: Simplified to (log (sqrt (+ (exp x) 1))) * * * * [misc]progress: [ 21 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (+ (exp x) 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (exp (sqrt (+ (exp x) 1))) * [exit]simplify: Simplified to (exp (sqrt (+ (exp x) 1))) * * * * [misc]progress: [ 22 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (+ (exp x) 1))) (cbrt (sqrt (+ (exp x) 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ (exp x) 1))) (cbrt (sqrt (+ (exp x) 1)))) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ (exp x) 1))) (cbrt (sqrt (+ (exp x) 1)))) * [enter]simplify: Simplifying (cbrt (sqrt (+ (exp x) 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ (exp x) 1))) * [exit]simplify: Simplified to (cbrt (sqrt (+ (exp x) 1))) * * * * [misc]progress: [ 23 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt (+ (exp x) 1)) (sqrt (+ (exp x) 1))) (sqrt (+ (exp x) 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (exp x) 1)) (+ (exp x) 1)) * [exit]simplify: Simplified to (* (sqrt (+ (exp x) 1)) (+ (exp x) 1)) * * * * [misc]progress: [ 24 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (+ (exp x) 1)) (cbrt (+ (exp x) 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (fabs (cbrt (+ (exp x) 1))) * [exit]simplify: Simplified to (fabs (cbrt (+ (exp x) 1))) * [enter]simplify: Simplifying (sqrt (cbrt (+ (exp x) 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (+ (exp x) 1))) * [exit]simplify: Simplified to (sqrt (cbrt (+ (exp x) 1))) * * * * [misc]progress: [ 25 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ (exp x) 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ (exp x) 1))) * [exit]simplify: Simplified to (sqrt (sqrt (+ (exp x) 1))) * [enter]simplify: Simplifying (sqrt (sqrt (+ (exp x) 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ (exp x) 1))) * [exit]simplify: Simplified to (sqrt (sqrt (+ (exp x) 1))) * * * * [misc]progress: [ 26 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [exit]simplify: Simplified to (sqrt 1) * [enter]simplify: Simplifying (sqrt (+ (exp x) 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (+ (exp x) 1)) * [exit]simplify: Simplified to (sqrt (+ (exp x) 1)) * * * * [misc]progress: [ 27 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (pow (exp x) 3) (pow 1 3))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * [exit]simplify: Simplified to (sqrt (fma (exp x) (* (exp x) (exp x)) 1)) * [exit]simplify: Simplified to (sqrt (fma (exp x) (* (exp x) (exp x)) 1)) * [enter]simplify: Simplifying (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (94 enodes) * * [misc]simplify: iters left: 1 (136 enodes) * [exit]simplify: Simplified to (sqrt (fma (expm1 x) (exp x) 1)) * [exit]simplify: Simplified to (sqrt (fma (expm1 x) (exp x) 1)) * * * * [misc]progress: [ 28 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (* (exp x) (exp x)) (* 1 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (sqrt (expm1 (+ x x))) * [exit]simplify: Simplified to (sqrt (expm1 (+ x x))) * [enter]simplify: Simplifying (sqrt (- (exp x) 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * [exit]simplify: Simplified to (sqrt (expm1 x)) * [exit]simplify: Simplified to (sqrt (expm1 x)) * * * * [misc]progress: [ 29 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ (exp x) 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ (exp x) 1))) * [exit]simplify: Simplified to (sqrt (sqrt (+ (exp x) 1))) * [enter]simplify: Simplifying (sqrt (sqrt (+ (exp x) 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ (exp x) 1))) * [exit]simplify: Simplified to (sqrt (sqrt (+ (exp x) 1))) * * * * [misc]progress: [ 30 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ x (+ (* 1/2 (pow x 2)) 2))) * * [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 (41 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * [exit]simplify: Simplified to (sqrt (fma (fma 1/2 x 1) x 2)) * * * * [misc]progress: [ 33 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (exp x) 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (+ (exp x) 1)) * * * * [misc]progress: [ 34 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (exp x) 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (+ (exp x) 1)) * * * * [misc]progress: [ 35 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (sqrt 2) (+ (* 1/4 (/ (pow x 2) (sqrt 2))) (* 1/2 (/ x (sqrt 2))))) (* 1/8 (/ (pow x 2) (pow (sqrt 2) 3)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (109 enodes) * * [misc]simplify: iters left: 3 (302 enodes) * [exit]simplify: Simplified to (fma 1/2 (/ x (sqrt 2)) (fma (/ (* x x) (sqrt 2)) (- 1/4 (/ 1/8 2)) (sqrt 2))) * * * * [misc]progress: [ 36 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (exp x) 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (+ (exp x) 1)) * * * * [misc]progress: [ 37 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (exp x) 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (+ (exp x) 1)) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 1 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (* (cbrt (exp x)) (cbrt (exp x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (cbrt (exp x)) (cbrt (exp x))) in x * [misc]taylor: Taking taylor expansion of (cbrt (exp x)) in x * [misc]taylor: Rewrote expression to (pow (exp x) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (exp x)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (exp x))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (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]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (cbrt (exp x)) in x * [misc]taylor: Rewrote expression to (pow (exp x) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (exp x)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (exp x))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (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]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (* (cbrt (exp x)) (cbrt (exp x))) in x * [misc]taylor: Taking taylor expansion of (cbrt (exp x)) in x * [misc]taylor: Rewrote expression to (pow (exp x) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (exp x)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (exp x))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (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]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (cbrt (exp x)) in x * [misc]taylor: Rewrote expression to (pow (exp x) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (exp x)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (exp x))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (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]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 * [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 1/3 1) 1)))) into 1/3 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1/3 1) 1)))) into 1/3 * [misc]backup-simplify: Simplify (+ (* 1 1/3) (* 1/3 1)) into 2/3 * [misc]backup-simplify: Simplify 2/3 into 2/3 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1/2) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow 0 1) 1)))) into 1/18 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1/2) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow 0 1) 1)))) into 1/18 * [misc]backup-simplify: Simplify (+ (* 1 1/18) (+ (* 1/3 1/3) (* 1/18 1))) into 2/9 * [misc]backup-simplify: Simplify 2/9 into 2/9 * [misc]backup-simplify: Simplify (+ (* 2/9 (pow x 2)) (+ (* 2/3 x) 1)) into (+ (* 2/3 x) (+ (* 2/9 (pow x 2)) 1)) * [misc]approximate: Taking taylor expansion of (* (cbrt (exp (/ 1 x))) (cbrt (exp (/ 1 x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (cbrt (exp (/ 1 x))) (cbrt (exp (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (cbrt (exp (/ 1 x))) in x * [misc]taylor: Rewrote expression to (pow (exp (/ 1 x)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (exp (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (exp (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (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]backup-simplify: Simplify (log (exp (/ 1 x))) into (/ 1 x) * [misc]backup-simplify: Simplify (* 1/3 (/ 1 x)) into (/ 1/3 x) * [misc]backup-simplify: Simplify (exp (/ 1/3 x)) into (exp (/ 1/3 x)) * [misc]taylor: Taking taylor expansion of (cbrt (exp (/ 1 x))) in x * [misc]taylor: Rewrote expression to (pow (exp (/ 1 x)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (exp (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (exp (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (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]backup-simplify: Simplify (log (exp (/ 1 x))) into (/ 1 x) * [misc]backup-simplify: Simplify (* 1/3 (/ 1 x)) into (/ 1/3 x) * [misc]backup-simplify: Simplify (exp (/ 1/3 x)) into (exp (/ 1/3 x)) * [misc]taylor: Taking taylor expansion of (* (cbrt (exp (/ 1 x))) (cbrt (exp (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (cbrt (exp (/ 1 x))) in x * [misc]taylor: Rewrote expression to (pow (exp (/ 1 x)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (exp (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (exp (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (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]backup-simplify: Simplify (log (exp (/ 1 x))) into (/ 1 x) * [misc]backup-simplify: Simplify (* 1/3 (/ 1 x)) into (/ 1/3 x) * [misc]backup-simplify: Simplify (exp (/ 1/3 x)) into (exp (/ 1/3 x)) * [misc]taylor: Taking taylor expansion of (cbrt (exp (/ 1 x))) in x * [misc]taylor: Rewrote expression to (pow (exp (/ 1 x)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (exp (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (exp (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (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]backup-simplify: Simplify (log (exp (/ 1 x))) into (/ 1 x) * [misc]backup-simplify: Simplify (* 1/3 (/ 1 x)) into (/ 1/3 x) * [misc]backup-simplify: Simplify (exp (/ 1/3 x)) into (exp (/ 1/3 x)) * [misc]backup-simplify: Simplify (* (exp (/ 1/3 x)) (exp (/ 1/3 x))) into (pow (exp (/ 1/3 x)) 2) * [misc]backup-simplify: Simplify (pow (exp (/ 1/3 x)) 2) into (pow (exp (/ 1/3 x)) 2) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (/ 1 x)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (/ 1 x))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 1/3 x)) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (/ 1 x)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (/ 1 x))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 1/3 x)) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (/ 1/3 x)) 0) (* 0 (exp (/ 1/3 x)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (/ 1 x)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (/ 1 x)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 1/3 x)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (/ 1 x)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (/ 1 x)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 1/3 x)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (/ 1/3 x)) 0) (+ (* 0 0) (* 0 (exp (/ 1/3 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (exp (/ 1 x)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (exp (/ 1 x)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (exp (/ 1 x)) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 1/3 x)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (exp (/ 1 x)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (exp (/ 1 x)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (exp (/ 1 x)) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 1/3 x)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (/ 1/3 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ 1/3 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (exp (/ 1 x)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (exp (/ 1 x)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (exp (/ 1 x)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (exp (/ 1 x)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (exp (/ 1 x)) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 1/3 x)) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (exp (/ 1 x)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (exp (/ 1 x)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (exp (/ 1 x)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (exp (/ 1 x)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (exp (/ 1 x)) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 1/3 x)) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (/ 1/3 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ 1/3 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (exp (/ 1 x)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (exp (/ 1 x)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (exp (/ 1 x)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (exp (/ 1 x)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (exp (/ 1 x)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (exp (/ 1 x)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (exp (/ 1 x)) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 1/3 x)) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (exp (/ 1 x)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (exp (/ 1 x)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (exp (/ 1 x)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (exp (/ 1 x)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (exp (/ 1 x)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (exp (/ 1 x)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (exp (/ 1 x)) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 1/3 x)) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (/ 1/3 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ 1/3 x)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (exp (/ 1 x)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (exp (/ 1 x)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (exp (/ 1 x)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (exp (/ 1 x)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (exp (/ 1 x)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (exp (/ 1 x)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (exp (/ 1 x)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (exp (/ 1 x)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (exp (/ 1 x)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (exp (/ 1 x)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (exp (/ 1 x)) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 1/3 x)) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (exp (/ 1 x)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (exp (/ 1 x)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (exp (/ 1 x)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (exp (/ 1 x)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (exp (/ 1 x)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (exp (/ 1 x)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (exp (/ 1 x)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (exp (/ 1 x)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (exp (/ 1 x)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (exp (/ 1 x)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (exp (/ 1 x)) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 1/3 x)) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (/ 1/3 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ 1/3 x))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (exp (/ 1/3 (/ 1 x))) 2) into (pow (exp (* 1/3 x)) 2) * [misc]approximate: Taking taylor expansion of (* (cbrt (exp (/ 1 (- x)))) (cbrt (exp (/ 1 (- x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (cbrt (exp (/ 1 (- x)))) (cbrt (exp (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (cbrt (exp (/ 1 (- x)))) in x * [misc]taylor: Rewrote expression to (pow (exp (/ 1 (- x))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (exp (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (exp (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (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]backup-simplify: Simplify (log (exp (/ -1 x))) into (/ -1 x) * [misc]backup-simplify: Simplify (* 1/3 (/ -1 x)) into (/ -1/3 x) * [misc]backup-simplify: Simplify (exp (/ -1/3 x)) into (exp (/ -1/3 x)) * [misc]taylor: Taking taylor expansion of (cbrt (exp (/ 1 (- x)))) in x * [misc]taylor: Rewrote expression to (pow (exp (/ 1 (- x))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (exp (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (exp (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (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]backup-simplify: Simplify (log (exp (/ -1 x))) into (/ -1 x) * [misc]backup-simplify: Simplify (* 1/3 (/ -1 x)) into (/ -1/3 x) * [misc]backup-simplify: Simplify (exp (/ -1/3 x)) into (exp (/ -1/3 x)) * [misc]taylor: Taking taylor expansion of (* (cbrt (exp (/ 1 (- x)))) (cbrt (exp (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (cbrt (exp (/ 1 (- x)))) in x * [misc]taylor: Rewrote expression to (pow (exp (/ 1 (- x))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (exp (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (exp (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (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]backup-simplify: Simplify (log (exp (/ -1 x))) into (/ -1 x) * [misc]backup-simplify: Simplify (* 1/3 (/ -1 x)) into (/ -1/3 x) * [misc]backup-simplify: Simplify (exp (/ -1/3 x)) into (exp (/ -1/3 x)) * [misc]taylor: Taking taylor expansion of (cbrt (exp (/ 1 (- x)))) in x * [misc]taylor: Rewrote expression to (pow (exp (/ 1 (- x))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (exp (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (exp (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (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]backup-simplify: Simplify (log (exp (/ -1 x))) into (/ -1 x) * [misc]backup-simplify: Simplify (* 1/3 (/ -1 x)) into (/ -1/3 x) * [misc]backup-simplify: Simplify (exp (/ -1/3 x)) into (exp (/ -1/3 x)) * [misc]backup-simplify: Simplify (* (exp (/ -1/3 x)) (exp (/ -1/3 x))) into (pow (exp (/ -1/3 x)) 2) * [misc]backup-simplify: Simplify (pow (exp (/ -1/3 x)) 2) into (pow (exp (/ -1/3 x)) 2) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (/ -1 x)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (/ -1 x))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ -1/3 x)) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (/ -1 x)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (/ -1 x))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ -1/3 x)) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (/ -1/3 x)) 0) (* 0 (exp (/ -1/3 x)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (/ -1 x)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (/ -1 x)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (/ -1 x)))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ -1/3 x)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (/ -1 x)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (/ -1 x)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (/ -1 x)))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ -1/3 x)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (/ -1/3 x)) 0) (+ (* 0 0) (* 0 (exp (/ -1/3 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (exp (/ -1 x)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (exp (/ -1 x)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (exp (/ -1 x)) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 x))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ -1/3 x)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (exp (/ -1 x)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (exp (/ -1 x)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (exp (/ -1 x)) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 x))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ -1/3 x)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (/ -1/3 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ -1/3 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (exp (/ -1 x)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (exp (/ -1 x)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (exp (/ -1 x)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (exp (/ -1 x)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (exp (/ -1 x)) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ -1/3 x)) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (exp (/ -1 x)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (exp (/ -1 x)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (exp (/ -1 x)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (exp (/ -1 x)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (exp (/ -1 x)) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ -1/3 x)) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (/ -1/3 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ -1/3 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (exp (/ -1 x)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (exp (/ -1 x)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (exp (/ -1 x)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (exp (/ -1 x)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (exp (/ -1 x)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (exp (/ -1 x)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (exp (/ -1 x)) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ -1/3 x)) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (exp (/ -1 x)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (exp (/ -1 x)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (exp (/ -1 x)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (exp (/ -1 x)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (exp (/ -1 x)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (exp (/ -1 x)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (exp (/ -1 x)) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ -1/3 x)) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (/ -1/3 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ -1/3 x)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (exp (/ -1 x)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (exp (/ -1 x)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (exp (/ -1 x)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (exp (/ -1 x)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (exp (/ -1 x)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (exp (/ -1 x)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (exp (/ -1 x)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (exp (/ -1 x)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (exp (/ -1 x)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (exp (/ -1 x)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (exp (/ -1 x)) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 x)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ -1/3 x)) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (exp (/ -1 x)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (exp (/ -1 x)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (exp (/ -1 x)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (exp (/ -1 x)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (exp (/ -1 x)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (exp (/ -1 x)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (exp (/ -1 x)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (exp (/ -1 x)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (exp (/ -1 x)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (exp (/ -1 x)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (exp (/ -1 x)) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 x)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ -1/3 x)) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (/ -1/3 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ -1/3 x))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (exp (/ -1/3 (/ 1 (- x)))) 2) into (pow (exp (* 1/3 x)) 2) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 2) * [misc]approximate: Taking taylor expansion of (cbrt (exp x)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (exp x)) in x * [misc]taylor: Rewrote expression to (pow (exp x) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (exp x)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (exp x))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (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]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (cbrt (exp x)) in x * [misc]taylor: Rewrote expression to (pow (exp x) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (exp x)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (exp x))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (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]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1/3 1) 1)))) into 1/3 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1/2) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow 0 1) 1)))) into 1/18 * [misc]backup-simplify: Simplify 1/18 into 1/18 * [misc]backup-simplify: Simplify (+ (* 1/18 (pow x 2)) (+ (* 1/3 x) 1)) into (+ (* 1/3 x) (+ (* 1/18 (pow x 2)) 1)) * [misc]approximate: Taking taylor expansion of (cbrt (exp (/ 1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (exp (/ 1 x))) in x * [misc]taylor: Rewrote expression to (pow (exp (/ 1 x)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (exp (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (exp (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (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]backup-simplify: Simplify (log (exp (/ 1 x))) into (/ 1 x) * [misc]backup-simplify: Simplify (* 1/3 (/ 1 x)) into (/ 1/3 x) * [misc]backup-simplify: Simplify (exp (/ 1/3 x)) into (exp (/ 1/3 x)) * [misc]taylor: Taking taylor expansion of (cbrt (exp (/ 1 x))) in x * [misc]taylor: Rewrote expression to (pow (exp (/ 1 x)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (exp (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (exp (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (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]backup-simplify: Simplify (log (exp (/ 1 x))) into (/ 1 x) * [misc]backup-simplify: Simplify (* 1/3 (/ 1 x)) into (/ 1/3 x) * [misc]backup-simplify: Simplify (exp (/ 1/3 x)) into (exp (/ 1/3 x)) * [misc]backup-simplify: Simplify (exp (/ 1/3 x)) into (exp (/ 1/3 x)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (/ 1 x)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (/ 1 x))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 1/3 x)) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (/ 1 x)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (/ 1 x)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 1/3 x)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (exp (/ 1 x)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (exp (/ 1 x)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (exp (/ 1 x)) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 1/3 x)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (exp (/ 1 x)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (exp (/ 1 x)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (exp (/ 1 x)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (exp (/ 1 x)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (exp (/ 1 x)) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 1/3 x)) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (exp (/ 1 x)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (exp (/ 1 x)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (exp (/ 1 x)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (exp (/ 1 x)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (exp (/ 1 x)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (exp (/ 1 x)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (exp (/ 1 x)) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 1/3 x)) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (exp (/ 1 x)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (exp (/ 1 x)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (exp (/ 1 x)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (exp (/ 1 x)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (exp (/ 1 x)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (exp (/ 1 x)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (exp (/ 1 x)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (exp (/ 1 x)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (exp (/ 1 x)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (exp (/ 1 x)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (exp (/ 1 x)) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 1/3 x)) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (/ 1/3 (/ 1 x))) into (exp (* 1/3 x)) * [misc]approximate: Taking taylor expansion of (cbrt (exp (/ 1 (- x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (exp (/ 1 (- x)))) in x * [misc]taylor: Rewrote expression to (pow (exp (/ 1 (- x))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (exp (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (exp (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (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]backup-simplify: Simplify (log (exp (/ -1 x))) into (/ -1 x) * [misc]backup-simplify: Simplify (* 1/3 (/ -1 x)) into (/ -1/3 x) * [misc]backup-simplify: Simplify (exp (/ -1/3 x)) into (exp (/ -1/3 x)) * [misc]taylor: Taking taylor expansion of (cbrt (exp (/ 1 (- x)))) in x * [misc]taylor: Rewrote expression to (pow (exp (/ 1 (- x))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (exp (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (exp (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (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]backup-simplify: Simplify (log (exp (/ -1 x))) into (/ -1 x) * [misc]backup-simplify: Simplify (* 1/3 (/ -1 x)) into (/ -1/3 x) * [misc]backup-simplify: Simplify (exp (/ -1/3 x)) into (exp (/ -1/3 x)) * [misc]backup-simplify: Simplify (exp (/ -1/3 x)) into (exp (/ -1/3 x)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (/ -1 x)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (/ -1 x))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ -1/3 x)) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (/ -1 x)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (/ -1 x)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (/ -1 x)))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ -1/3 x)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (exp (/ -1 x)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (exp (/ -1 x)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (exp (/ -1 x)) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 x))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ -1/3 x)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (exp (/ -1 x)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (exp (/ -1 x)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (exp (/ -1 x)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (exp (/ -1 x)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (exp (/ -1 x)) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ -1/3 x)) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (exp (/ -1 x)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (exp (/ -1 x)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (exp (/ -1 x)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (exp (/ -1 x)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (exp (/ -1 x)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (exp (/ -1 x)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (exp (/ -1 x)) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ -1/3 x)) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (exp (/ -1 x)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (exp (/ -1 x)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (exp (/ -1 x)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (exp (/ -1 x)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (exp (/ -1 x)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (exp (/ -1 x)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (exp (/ -1 x)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (exp (/ -1 x)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (exp (/ -1 x)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (exp (/ -1 x)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (exp (/ -1 x)) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 x)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ -1/3 x)) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (/ -1/3 (/ 1 (- x)))) into (exp (* 1/3 x)) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 1 2) * [misc]approximate: Taking taylor expansion of (cbrt (exp x)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (exp x)) in x * [misc]taylor: Rewrote expression to (pow (exp x) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (exp x)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (exp x))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (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]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (cbrt (exp x)) in x * [misc]taylor: Rewrote expression to (pow (exp x) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (exp x)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (exp x))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (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]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1/3 1) 1)))) into 1/3 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1/2) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow 0 1) 1)))) into 1/18 * [misc]backup-simplify: Simplify 1/18 into 1/18 * [misc]backup-simplify: Simplify (+ (* 1/18 (pow x 2)) (+ (* 1/3 x) 1)) into (+ (* 1/3 x) (+ (* 1/18 (pow x 2)) 1)) * [misc]approximate: Taking taylor expansion of (cbrt (exp (/ 1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (exp (/ 1 x))) in x * [misc]taylor: Rewrote expression to (pow (exp (/ 1 x)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (exp (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (exp (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (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]backup-simplify: Simplify (log (exp (/ 1 x))) into (/ 1 x) * [misc]backup-simplify: Simplify (* 1/3 (/ 1 x)) into (/ 1/3 x) * [misc]backup-simplify: Simplify (exp (/ 1/3 x)) into (exp (/ 1/3 x)) * [misc]taylor: Taking taylor expansion of (cbrt (exp (/ 1 x))) in x * [misc]taylor: Rewrote expression to (pow (exp (/ 1 x)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (exp (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (exp (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (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]backup-simplify: Simplify (log (exp (/ 1 x))) into (/ 1 x) * [misc]backup-simplify: Simplify (* 1/3 (/ 1 x)) into (/ 1/3 x) * [misc]backup-simplify: Simplify (exp (/ 1/3 x)) into (exp (/ 1/3 x)) * [misc]backup-simplify: Simplify (exp (/ 1/3 x)) into (exp (/ 1/3 x)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (/ 1 x)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (/ 1 x))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 1/3 x)) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (/ 1 x)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (/ 1 x)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 1/3 x)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (exp (/ 1 x)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (exp (/ 1 x)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (exp (/ 1 x)) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 1/3 x)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (exp (/ 1 x)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (exp (/ 1 x)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (exp (/ 1 x)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (exp (/ 1 x)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (exp (/ 1 x)) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 1/3 x)) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (exp (/ 1 x)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (exp (/ 1 x)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (exp (/ 1 x)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (exp (/ 1 x)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (exp (/ 1 x)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (exp (/ 1 x)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (exp (/ 1 x)) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 1/3 x)) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (exp (/ 1 x)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (exp (/ 1 x)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (exp (/ 1 x)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (exp (/ 1 x)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (exp (/ 1 x)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (exp (/ 1 x)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (exp (/ 1 x)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (exp (/ 1 x)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (exp (/ 1 x)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (exp (/ 1 x)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (exp (/ 1 x)) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 1/3 x)) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (/ 1/3 (/ 1 x))) into (exp (* 1/3 x)) * [misc]approximate: Taking taylor expansion of (cbrt (exp (/ 1 (- x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (exp (/ 1 (- x)))) in x * [misc]taylor: Rewrote expression to (pow (exp (/ 1 (- x))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (exp (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (exp (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (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]backup-simplify: Simplify (log (exp (/ -1 x))) into (/ -1 x) * [misc]backup-simplify: Simplify (* 1/3 (/ -1 x)) into (/ -1/3 x) * [misc]backup-simplify: Simplify (exp (/ -1/3 x)) into (exp (/ -1/3 x)) * [misc]taylor: Taking taylor expansion of (cbrt (exp (/ 1 (- x)))) in x * [misc]taylor: Rewrote expression to (pow (exp (/ 1 (- x))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (exp (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (exp (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (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]backup-simplify: Simplify (log (exp (/ -1 x))) into (/ -1 x) * [misc]backup-simplify: Simplify (* 1/3 (/ -1 x)) into (/ -1/3 x) * [misc]backup-simplify: Simplify (exp (/ -1/3 x)) into (exp (/ -1/3 x)) * [misc]backup-simplify: Simplify (exp (/ -1/3 x)) into (exp (/ -1/3 x)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (/ -1 x)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (/ -1 x))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ -1/3 x)) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (/ -1 x)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (/ -1 x)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (/ -1 x)))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ -1/3 x)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (exp (/ -1 x)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (exp (/ -1 x)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (exp (/ -1 x)) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 x))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ -1/3 x)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (exp (/ -1 x)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (exp (/ -1 x)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (exp (/ -1 x)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (exp (/ -1 x)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (exp (/ -1 x)) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ -1/3 x)) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (exp (/ -1 x)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (exp (/ -1 x)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (exp (/ -1 x)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (exp (/ -1 x)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (exp (/ -1 x)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (exp (/ -1 x)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (exp (/ -1 x)) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ -1/3 x)) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (exp (/ -1 x)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (exp (/ -1 x)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (exp (/ -1 x)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (exp (/ -1 x)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (exp (/ -1 x)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (exp (/ -1 x)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (exp (/ -1 x)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (exp (/ -1 x)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (exp (/ -1 x)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (exp (/ -1 x)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (exp (/ -1 x)) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 x)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ -1/3 x)) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (/ -1/3 (/ 1 (- x)))) into (exp (* 1/3 x)) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 1 1) * [misc]approximate: Taking taylor expansion of (cbrt (exp x)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (exp x)) in x * [misc]taylor: Rewrote expression to (pow (exp x) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (exp x)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (exp x))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (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]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (cbrt (exp x)) in x * [misc]taylor: Rewrote expression to (pow (exp x) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (exp x)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (exp x))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (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]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1/3 1) 1)))) into 1/3 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1/2) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow 0 1) 1)))) into 1/18 * [misc]backup-simplify: Simplify 1/18 into 1/18 * [misc]backup-simplify: Simplify (+ (* 1/18 (pow x 2)) (+ (* 1/3 x) 1)) into (+ (* 1/3 x) (+ (* 1/18 (pow x 2)) 1)) * [misc]approximate: Taking taylor expansion of (cbrt (exp (/ 1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (exp (/ 1 x))) in x * [misc]taylor: Rewrote expression to (pow (exp (/ 1 x)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (exp (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (exp (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (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]backup-simplify: Simplify (log (exp (/ 1 x))) into (/ 1 x) * [misc]backup-simplify: Simplify (* 1/3 (/ 1 x)) into (/ 1/3 x) * [misc]backup-simplify: Simplify (exp (/ 1/3 x)) into (exp (/ 1/3 x)) * [misc]taylor: Taking taylor expansion of (cbrt (exp (/ 1 x))) in x * [misc]taylor: Rewrote expression to (pow (exp (/ 1 x)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (exp (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (exp (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (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]backup-simplify: Simplify (log (exp (/ 1 x))) into (/ 1 x) * [misc]backup-simplify: Simplify (* 1/3 (/ 1 x)) into (/ 1/3 x) * [misc]backup-simplify: Simplify (exp (/ 1/3 x)) into (exp (/ 1/3 x)) * [misc]backup-simplify: Simplify (exp (/ 1/3 x)) into (exp (/ 1/3 x)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (/ 1 x)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (/ 1 x))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 1/3 x)) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (/ 1 x)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (/ 1 x)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 1/3 x)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (exp (/ 1 x)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (exp (/ 1 x)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (exp (/ 1 x)) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 1/3 x)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (exp (/ 1 x)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (exp (/ 1 x)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (exp (/ 1 x)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (exp (/ 1 x)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (exp (/ 1 x)) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 1/3 x)) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (exp (/ 1 x)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (exp (/ 1 x)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (exp (/ 1 x)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (exp (/ 1 x)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (exp (/ 1 x)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (exp (/ 1 x)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (exp (/ 1 x)) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 1/3 x)) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (exp (/ 1 x)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (exp (/ 1 x)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (exp (/ 1 x)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (exp (/ 1 x)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (exp (/ 1 x)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (exp (/ 1 x)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (exp (/ 1 x)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (exp (/ 1 x)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (exp (/ 1 x)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (exp (/ 1 x)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (exp (/ 1 x)) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 1/3 x)) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (/ 1/3 (/ 1 x))) into (exp (* 1/3 x)) * [misc]approximate: Taking taylor expansion of (cbrt (exp (/ 1 (- x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (exp (/ 1 (- x)))) in x * [misc]taylor: Rewrote expression to (pow (exp (/ 1 (- x))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (exp (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (exp (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (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]backup-simplify: Simplify (log (exp (/ -1 x))) into (/ -1 x) * [misc]backup-simplify: Simplify (* 1/3 (/ -1 x)) into (/ -1/3 x) * [misc]backup-simplify: Simplify (exp (/ -1/3 x)) into (exp (/ -1/3 x)) * [misc]taylor: Taking taylor expansion of (cbrt (exp (/ 1 (- x)))) in x * [misc]taylor: Rewrote expression to (pow (exp (/ 1 (- x))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (exp (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (exp (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (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]backup-simplify: Simplify (log (exp (/ -1 x))) into (/ -1 x) * [misc]backup-simplify: Simplify (* 1/3 (/ -1 x)) into (/ -1/3 x) * [misc]backup-simplify: Simplify (exp (/ -1/3 x)) into (exp (/ -1/3 x)) * [misc]backup-simplify: Simplify (exp (/ -1/3 x)) into (exp (/ -1/3 x)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (/ -1 x)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (/ -1 x))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ -1/3 x)) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (/ -1 x)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (/ -1 x)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (/ -1 x)))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ -1/3 x)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (exp (/ -1 x)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (exp (/ -1 x)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (exp (/ -1 x)) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 x))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ -1/3 x)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (exp (/ -1 x)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (exp (/ -1 x)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (exp (/ -1 x)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (exp (/ -1 x)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (exp (/ -1 x)) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ -1/3 x)) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (exp (/ -1 x)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (exp (/ -1 x)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (exp (/ -1 x)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (exp (/ -1 x)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (exp (/ -1 x)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (exp (/ -1 x)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (exp (/ -1 x)) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ -1/3 x)) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (exp (/ -1 x)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (exp (/ -1 x)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (exp (/ -1 x)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (exp (/ -1 x)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (exp (/ -1 x)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (exp (/ -1 x)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (exp (/ -1 x)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (exp (/ -1 x)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (exp (/ -1 x)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (exp (/ -1 x)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (exp (/ -1 x)) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 x)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ -1/3 x)) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (/ -1/3 (/ 1 (- x)))) into (exp (* 1/3 x)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (* (cbrt (exp x)) (cbrt (exp x)))) * * [misc]simplify: iters left: 5 (5 enodes) * [exit]simplify: Simplified to (expm1 (* (cbrt (exp x)) (cbrt (exp x)))) * [exit]simplify: Simplified to (expm1 (* (cbrt (exp x)) (cbrt (exp x)))) * * * * [misc]progress: [ 2 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (* (cbrt (exp x)) (cbrt (exp x)))) * * [misc]simplify: iters left: 5 (5 enodes) * [exit]simplify: Simplified to (log1p (* (cbrt (exp x)) (cbrt (exp x)))) * [exit]simplify: Simplified to (log1p (* (cbrt (exp x)) (cbrt (exp x)))) * * * * [misc]progress: [ 3 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1/3 1/3) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (+ 1/3 1/3) * [exit]simplify: Simplified to (+ 1/3 1/3) * * * * [misc]progress: [ 4 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (+ 1 1) * [exit]simplify: Simplified to (+ 1 1) * * * * [misc]progress: [ 5 / 81 ] 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)) * [exit]simplify: Simplified to (* (exp x) (exp x)) * * * * [misc]progress: [ 6 / 81 ] 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))) * [exit]simplify: Simplified to (* (cbrt (exp x)) (cbrt (exp x))) * * * * [misc]progress: [ 7 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (+ 1 1) * [exit]simplify: Simplified to (+ 1 1) * * * * [misc]progress: [ 9 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (cbrt (exp x))) (log (cbrt (exp x)))) * * [misc]simplify: iters left: 5 (5 enodes) * [exit]simplify: Simplified to (+ (log (cbrt (exp x))) (log (cbrt (exp x)))) * [exit]simplify: Simplified to (+ (log (cbrt (exp x))) (log (cbrt (exp x)))) * * * * [misc]progress: [ 11 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (cbrt (exp x)) (cbrt (exp x)))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (+ (log (cbrt (exp x))) (log (cbrt (exp x)))) * [exit]simplify: Simplified to (+ (log (cbrt (exp x))) (log (cbrt (exp x)))) * * * * [misc]progress: [ 12 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (cbrt (exp x)) (cbrt (exp x)))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (exp (* (cbrt (exp x)) (cbrt (exp x)))) * [exit]simplify: Simplified to (exp (* (cbrt (exp x)) (cbrt (exp x)))) * * * * [misc]progress: [ 13 / 81 ] 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)) * [exit]simplify: Simplified to (* (exp x) (exp x)) * * * * [misc]progress: [ 14 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (cbrt (exp x)) (cbrt (exp x)))) (cbrt (* (cbrt (exp x)) (cbrt (exp x))))) * * [misc]simplify: iters left: 6 (6 enodes) * [exit]simplify: Simplified to (* (cbrt (* (cbrt (exp x)) (cbrt (exp x)))) (cbrt (* (cbrt (exp x)) (cbrt (exp x))))) * [exit]simplify: Simplified to (* (cbrt (* (cbrt (exp x)) (cbrt (exp x)))) (cbrt (* (cbrt (exp x)) (cbrt (exp x))))) * [enter]simplify: Simplifying (cbrt (* (cbrt (exp x)) (cbrt (exp x)))) * * [misc]simplify: iters left: 5 (5 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (exp x)) (cbrt (exp x)))) * [exit]simplify: Simplified to (cbrt (* (cbrt (exp x)) (cbrt (exp x)))) * * * * [misc]progress: [ 15 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (cbrt (exp x)) (cbrt (exp x))) (* (cbrt (exp x)) (cbrt (exp x)))) (* (cbrt (exp x)) (cbrt (exp x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (* (exp x) (exp x)) * [exit]simplify: Simplified to (* (exp x) (exp x)) * * * * [misc]progress: [ 16 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (exp x)) (cbrt (exp x)))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (fabs (cbrt (exp x))) * [exit]simplify: Simplified to (fabs (cbrt (exp x))) * [enter]simplify: Simplifying (sqrt (* (cbrt (exp x)) (cbrt (exp x)))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (fabs (cbrt (exp x))) * [exit]simplify: Simplified to (fabs (cbrt (exp x))) * * * * [misc]progress: [ 17 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (exp x)) (cbrt (* (cbrt (exp x)) (cbrt (exp x))))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (* (cbrt (* (cbrt (exp x)) (cbrt (exp x)))) (cbrt (exp x))) * [exit]simplify: Simplified to (* (cbrt (* (cbrt (exp x)) (cbrt (exp x)))) (cbrt (exp x))) * * * * [misc]progress: [ 19 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (exp x)) (cbrt (sqrt (exp x)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (exp x))) (cbrt (exp x))) * [exit]simplify: Simplified to (* (cbrt (sqrt (exp x))) (cbrt (exp x))) * * * * [misc]progress: [ 20 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (exp x)) (cbrt 1)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [exit]simplify: Simplified to (* (cbrt 1) (cbrt (exp x))) * [exit]simplify: Simplified to (* (cbrt 1) (cbrt (exp x))) * * * * [misc]progress: [ 21 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (exp x)) (* (cbrt (cbrt (exp x))) (cbrt (cbrt (exp x))))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (* (* (cbrt (cbrt (exp x))) (cbrt (cbrt (exp x)))) (cbrt (exp x))) * [exit]simplify: Simplified to (* (* (cbrt (cbrt (exp x))) (cbrt (cbrt (exp x)))) (cbrt (exp x))) * * * * [misc]progress: [ 22 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (exp x)) (sqrt (cbrt (exp x)))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (* (cbrt (exp x)) (sqrt (cbrt (exp x)))) * [exit]simplify: Simplified to (* (cbrt (exp x)) (sqrt (cbrt (exp x)))) * * * * [misc]progress: [ 23 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (exp x)) 1) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * [exit]simplify: Simplified to (cbrt (exp x)) * [exit]simplify: Simplified to (cbrt (exp x)) * * * * [misc]progress: [ 24 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cbrt (exp x))) (cbrt (exp x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (* (cbrt (exp x)) (cbrt (cbrt (exp x)))) * [exit]simplify: Simplified to (* (cbrt (exp x)) (cbrt (cbrt (exp x)))) * * * * [misc]progress: [ 25 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (exp x))) (cbrt (exp x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (exp x))) (cbrt (exp x))) * [exit]simplify: Simplified to (* (cbrt (sqrt (exp x))) (cbrt (exp x))) * * * * [misc]progress: [ 26 / 81 ] 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))) * [exit]simplify: Simplified to (* (cbrt (exp x)) (cbrt (exp x))) * * * * [misc]progress: [ 27 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cbrt (exp x))) (cbrt (exp x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (* (cbrt (exp x)) (cbrt (cbrt (exp x)))) * [exit]simplify: Simplified to (* (cbrt (exp x)) (cbrt (cbrt (exp x)))) * * * * [misc]progress: [ 28 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (cbrt (exp x))) (cbrt (exp x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (* (cbrt (exp x)) (sqrt (cbrt (exp x)))) * [exit]simplify: Simplified to (* (cbrt (exp x)) (sqrt (cbrt (exp x)))) * * * * [misc]progress: [ 29 / 81 ] 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))) * [exit]simplify: Simplified to (* (cbrt (exp x)) (cbrt (exp x))) * * * * [misc]progress: [ 30 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (cbrt (exp x))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (expm1 (cbrt (exp x))) * [exit]simplify: Simplified to (expm1 (cbrt (exp x))) * * * * [misc]progress: [ 32 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (cbrt (exp x))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (log1p (cbrt (exp x))) * [exit]simplify: Simplified to (log1p (cbrt (exp x))) * * * * [misc]progress: [ 33 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cbrt (exp x))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (log (cbrt (exp x))) * [exit]simplify: Simplified to (log (cbrt (exp x))) * * * * [misc]progress: [ 36 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cbrt (exp x))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (exp (cbrt (exp x))) * [exit]simplify: Simplified to (exp (cbrt (exp x))) * * * * [misc]progress: [ 37 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (exp x)) (cbrt (exp x)))) * * [misc]simplify: iters left: 5 (5 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (exp x)) (cbrt (exp x)))) * [exit]simplify: Simplified to (cbrt (* (cbrt (exp x)) (cbrt (exp x)))) * [enter]simplify: Simplifying (cbrt (cbrt (exp x))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (exp x))) * [exit]simplify: Simplified to (cbrt (cbrt (exp x))) * * * * [misc]progress: [ 38 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (exp x))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (exp x))) * [exit]simplify: Simplified to (cbrt (sqrt (exp x))) * [enter]simplify: Simplifying (cbrt (sqrt (exp x))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (exp x))) * [exit]simplify: Simplified to (cbrt (sqrt (exp x))) * * * * [misc]progress: [ 39 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [exit]simplify: Simplified to (cbrt 1) * [enter]simplify: Simplifying (cbrt (exp x)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (cbrt (exp x)) * [exit]simplify: Simplified to (cbrt (exp x)) * * * * [misc]progress: [ 40 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cbrt (exp x))) (cbrt (cbrt (exp x)))) * * [misc]simplify: iters left: 5 (5 enodes) * [exit]simplify: Simplified to (* (cbrt (cbrt (exp x))) (cbrt (cbrt (exp x)))) * [exit]simplify: Simplified to (* (cbrt (cbrt (exp x))) (cbrt (cbrt (exp x)))) * [enter]simplify: Simplifying (cbrt (cbrt (exp x))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (exp x))) * [exit]simplify: Simplified to (cbrt (cbrt (exp x))) * * * * [misc]progress: [ 41 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cbrt (exp x)) (cbrt (exp x))) (cbrt (exp x))) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (exp x) * [exit]simplify: Simplified to (exp x) * * * * [misc]progress: [ 42 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (exp x))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (exp x))) * [exit]simplify: Simplified to (sqrt (cbrt (exp x))) * [enter]simplify: Simplifying (sqrt (cbrt (exp x))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (exp x))) * [exit]simplify: Simplified to (sqrt (cbrt (exp x))) * * * * [misc]progress: [ 43 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (cbrt (exp x))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (expm1 (cbrt (exp x))) * [exit]simplify: Simplified to (expm1 (cbrt (exp x))) * * * * [misc]progress: [ 45 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (cbrt (exp x))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (log1p (cbrt (exp x))) * [exit]simplify: Simplified to (log1p (cbrt (exp x))) * * * * [misc]progress: [ 46 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cbrt (exp x))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (log (cbrt (exp x))) * [exit]simplify: Simplified to (log (cbrt (exp x))) * * * * [misc]progress: [ 49 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cbrt (exp x))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (exp (cbrt (exp x))) * [exit]simplify: Simplified to (exp (cbrt (exp x))) * * * * [misc]progress: [ 50 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (exp x)) (cbrt (exp x)))) * * [misc]simplify: iters left: 5 (5 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (exp x)) (cbrt (exp x)))) * [exit]simplify: Simplified to (cbrt (* (cbrt (exp x)) (cbrt (exp x)))) * [enter]simplify: Simplifying (cbrt (cbrt (exp x))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (exp x))) * [exit]simplify: Simplified to (cbrt (cbrt (exp x))) * * * * [misc]progress: [ 51 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (exp x))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (exp x))) * [exit]simplify: Simplified to (cbrt (sqrt (exp x))) * [enter]simplify: Simplifying (cbrt (sqrt (exp x))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (exp x))) * [exit]simplify: Simplified to (cbrt (sqrt (exp x))) * * * * [misc]progress: [ 52 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [exit]simplify: Simplified to (cbrt 1) * [enter]simplify: Simplifying (cbrt (exp x)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (cbrt (exp x)) * [exit]simplify: Simplified to (cbrt (exp x)) * * * * [misc]progress: [ 53 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cbrt (exp x))) (cbrt (cbrt (exp x)))) * * [misc]simplify: iters left: 5 (5 enodes) * [exit]simplify: Simplified to (* (cbrt (cbrt (exp x))) (cbrt (cbrt (exp x)))) * [exit]simplify: Simplified to (* (cbrt (cbrt (exp x))) (cbrt (cbrt (exp x)))) * [enter]simplify: Simplifying (cbrt (cbrt (exp x))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (exp x))) * [exit]simplify: Simplified to (cbrt (cbrt (exp x))) * * * * [misc]progress: [ 54 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cbrt (exp x)) (cbrt (exp x))) (cbrt (exp x))) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (exp x) * [exit]simplify: Simplified to (exp x) * * * * [misc]progress: [ 55 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (exp x))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (exp x))) * [exit]simplify: Simplified to (sqrt (cbrt (exp x))) * [enter]simplify: Simplifying (sqrt (cbrt (exp x))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (exp x))) * [exit]simplify: Simplified to (sqrt (cbrt (exp x))) * * * * [misc]progress: [ 56 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 57 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (cbrt (exp x))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (expm1 (cbrt (exp x))) * [exit]simplify: Simplified to (expm1 (cbrt (exp x))) * * * * [misc]progress: [ 58 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (cbrt (exp x))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (log1p (cbrt (exp x))) * [exit]simplify: Simplified to (log1p (cbrt (exp x))) * * * * [misc]progress: [ 59 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 60 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 61 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cbrt (exp x))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (log (cbrt (exp x))) * [exit]simplify: Simplified to (log (cbrt (exp x))) * * * * [misc]progress: [ 62 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cbrt (exp x))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (exp (cbrt (exp x))) * [exit]simplify: Simplified to (exp (cbrt (exp x))) * * * * [misc]progress: [ 63 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (exp x)) (cbrt (exp x)))) * * [misc]simplify: iters left: 5 (5 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (exp x)) (cbrt (exp x)))) * [exit]simplify: Simplified to (cbrt (* (cbrt (exp x)) (cbrt (exp x)))) * [enter]simplify: Simplifying (cbrt (cbrt (exp x))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (exp x))) * [exit]simplify: Simplified to (cbrt (cbrt (exp x))) * * * * [misc]progress: [ 64 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (exp x))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (exp x))) * [exit]simplify: Simplified to (cbrt (sqrt (exp x))) * [enter]simplify: Simplifying (cbrt (sqrt (exp x))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (exp x))) * [exit]simplify: Simplified to (cbrt (sqrt (exp x))) * * * * [misc]progress: [ 65 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [exit]simplify: Simplified to (cbrt 1) * [enter]simplify: Simplifying (cbrt (exp x)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (cbrt (exp x)) * [exit]simplify: Simplified to (cbrt (exp x)) * * * * [misc]progress: [ 66 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cbrt (exp x))) (cbrt (cbrt (exp x)))) * * [misc]simplify: iters left: 5 (5 enodes) * [exit]simplify: Simplified to (* (cbrt (cbrt (exp x))) (cbrt (cbrt (exp x)))) * [exit]simplify: Simplified to (* (cbrt (cbrt (exp x))) (cbrt (cbrt (exp x)))) * [enter]simplify: Simplifying (cbrt (cbrt (exp x))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (exp x))) * [exit]simplify: Simplified to (cbrt (cbrt (exp x))) * * * * [misc]progress: [ 67 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cbrt (exp x)) (cbrt (exp x))) (cbrt (exp x))) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (exp x) * [exit]simplify: Simplified to (exp x) * * * * [misc]progress: [ 68 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (exp x))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (exp x))) * [exit]simplify: Simplified to (sqrt (cbrt (exp x))) * [enter]simplify: Simplifying (sqrt (cbrt (exp x))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (exp x))) * [exit]simplify: Simplified to (sqrt (cbrt (exp x))) * * * * [misc]progress: [ 69 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 70 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (fma (+ (* 2/3 x) (+ (* 2/9 (pow x 2)) 1)) (cbrt (exp x)) 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (271 enodes) * [exit]simplify: Simplified to (sqrt (fma (fma x (fma x 2/9 2/3) 1) (cbrt (exp x)) 1)) * * * * [misc]progress: [ 71 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (fma (pow (exp (* 1/3 x)) 2) (cbrt (exp x)) 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * [exit]simplify: Simplified to (sqrt (fma (cbrt (exp x)) (pow (exp 1/3) (+ x x)) 1)) * * * * [misc]progress: [ 72 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (fma (pow (exp (* 1/3 x)) 2) (cbrt (exp x)) 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * [exit]simplify: Simplified to (sqrt (fma (cbrt (exp x)) (pow (exp 1/3) (+ x x)) 1)) * * * * [misc]progress: [ 73 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (fma (* (cbrt (exp x)) (cbrt (exp x))) (+ (* 1/3 x) (+ (* 1/18 (pow x 2)) 1)) 1)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (223 enodes) * [exit]simplify: Simplified to (sqrt (fma (fma (* x (fma x 1/18 1/3)) (cbrt (exp x)) (cbrt (exp x))) (cbrt (exp x)) 1)) * * * * [misc]progress: [ 74 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (fma (* (cbrt (exp x)) (cbrt (exp x))) (exp (* 1/3 x)) 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 (25 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * [exit]simplify: Simplified to (sqrt (fma (exp (* 1/3 x)) (* (cbrt (exp x)) (cbrt (exp x))) 1)) * * * * [misc]progress: [ 75 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (fma (* (cbrt (exp x)) (cbrt (exp x))) (exp (* 1/3 x)) 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 (25 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * [exit]simplify: Simplified to (sqrt (fma (exp (* 1/3 x)) (* (cbrt (exp x)) (cbrt (exp x))) 1)) * * * * [misc]progress: [ 76 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (fma (* (cbrt (exp x)) (+ (* 1/3 x) (+ (* 1/18 (pow x 2)) 1))) (cbrt (exp x)) 1)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (242 enodes) * [exit]simplify: Simplified to (sqrt (fma (fma x (fma x 1/18 1/3) 1) (* (cbrt (exp x)) (cbrt (exp x))) 1)) * * * * [misc]progress: [ 77 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (fma (* (cbrt (exp x)) (exp (* 1/3 x))) (cbrt (exp x)) 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (sqrt (fma (cbrt (exp x)) (* (cbrt (exp x)) (exp (* 1/3 x))) 1)) * * * * [misc]progress: [ 78 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (fma (* (cbrt (exp x)) (exp (* 1/3 x))) (cbrt (exp x)) 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (sqrt (fma (cbrt (exp x)) (* (cbrt (exp x)) (exp (* 1/3 x))) 1)) * * * * [misc]progress: [ 79 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (fma (* (+ (* 1/3 x) (+ (* 1/18 (pow x 2)) 1)) (cbrt (exp x))) (cbrt (exp x)) 1)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (195 enodes) * [exit]simplify: Simplified to (sqrt (fma (fma x (fma x 1/18 1/3) 1) (* (cbrt (exp x)) (cbrt (exp x))) 1)) * * * * [misc]progress: [ 80 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (fma (* (exp (* 1/3 x)) (cbrt (exp x))) (cbrt (exp x)) 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (sqrt (fma (cbrt (exp x)) (* (exp (* 1/3 x)) (cbrt (exp x))) 1)) * * * * [misc]progress: [ 81 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (fma (* (exp (* 1/3 x)) (cbrt (exp x))) (cbrt (exp x)) 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (sqrt (fma (cbrt (exp x)) (* (exp (* 1/3 x)) (cbrt (exp x))) 1)) * * * [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 / 2 ] rewriting at (2 1) * * * * [misc]progress: [ 2 / 2 ] rewriting at (2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 2 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (/ (expm1 (+ x x)) (expm1 x)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (expm1 (+ x x)) (expm1 x)) in x * [misc]taylor: Taking taylor expansion of (expm1 (+ x x)) in x * [misc]taylor: Rewrote expression to (- (exp (+ x x)) 1) * [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 (expm1 x) in x * [misc]taylor: Rewrote expression to (- (exp x) 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 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 2 1) 1)))) into 2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 2 0) into 2 * [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 (/ 2 1) into 2 * [misc]taylor: Taking taylor expansion of (/ (expm1 (+ x x)) (expm1 x)) in x * [misc]taylor: Taking taylor expansion of (expm1 (+ x x)) in x * [misc]taylor: Rewrote expression to (- (exp (+ x x)) 1) * [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 (expm1 x) in x * [misc]taylor: Rewrote expression to (- (exp x) 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 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 2 1) 1)))) into 2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 2 0) into 2 * [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 (/ 2 1) 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 (* (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 (- (/ 2 1) (+ (* 2 (/ 1/2 1)))) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [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 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 (- (/ 4/3 1) (+ (* 2 (/ 1/6 1)) (* 1 (/ 1/2 1)))) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ (* 1/2 (pow x 2)) (+ (* 1 x) 2)) into (+ x (+ (* 1/2 (pow x 2)) 2)) * [misc]approximate: Taking taylor expansion of (/ (expm1 (+ (/ 1 x) (/ 1 x))) (expm1 (/ 1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (expm1 (+ (/ 1 x) (/ 1 x))) (expm1 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (expm1 (+ (/ 1 x) (/ 1 x))) in x * [misc]taylor: Rewrote expression to (- (exp (+ (/ 1 x) (/ 1 x))) 1) * [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 (expm1 (/ 1 x)) in x * [misc]taylor: Rewrote expression to (- (exp (/ 1 x)) 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]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 (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ 1 x)) -1) into (- (exp (/ 1 x)) 1) * [misc]backup-simplify: Simplify (/ (- (exp (/ 2 x)) 1) (- (exp (/ 1 x)) 1)) into (/ (- (exp (/ 2 x)) 1) (- (exp (/ 1 x)) 1)) * [misc]taylor: Taking taylor expansion of (/ (expm1 (+ (/ 1 x) (/ 1 x))) (expm1 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (expm1 (+ (/ 1 x) (/ 1 x))) in x * [misc]taylor: Rewrote expression to (- (exp (+ (/ 1 x) (/ 1 x))) 1) * [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 (expm1 (/ 1 x)) in x * [misc]taylor: Rewrote expression to (- (exp (/ 1 x)) 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]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 (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ 1 x)) -1) into (- (exp (/ 1 x)) 1) * [misc]backup-simplify: Simplify (/ (- (exp (/ 2 x)) 1) (- (exp (/ 1 x)) 1)) into (/ (- (exp (/ 2 x)) 1) (- (exp (/ 1 x)) 1)) * [misc]backup-simplify: Simplify (/ (- (exp (/ 2 x)) 1) (- (exp (/ 1 x)) 1)) into (/ (- (exp (/ 2 x)) 1) (- (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 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (/ 1 x)) 1)) (+ (* (/ (- (exp (/ 2 x)) 1) (- (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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (/ 1 x)) 1)) (+ (* (/ (- (exp (/ 2 x)) 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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (/ 1 x)) 1)) (+ (* (/ (- (exp (/ 2 x)) 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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (/ 1 x)) 1)) (+ (* (/ (- (exp (/ 2 x)) 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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (/ 1 x)) 1)) (+ (* (/ (- (exp (/ 2 x)) 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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (/ 1 x)) 1)) (+ (* (/ (- (exp (/ 2 x)) 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 (/ (- (exp (/ 2 (/ 1 x))) 1) (- (exp (/ 1 (/ 1 x))) 1)) into (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) * [misc]approximate: Taking taylor expansion of (/ (expm1 (+ (/ 1 (- x)) (/ 1 (- x)))) (expm1 (/ 1 (- x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (expm1 (+ (/ 1 (- x)) (/ 1 (- x)))) (expm1 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (expm1 (+ (/ 1 (- x)) (/ 1 (- x)))) in x * [misc]taylor: Rewrote expression to (- (exp (+ (/ 1 (- x)) (/ 1 (- x)))) 1) * [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 (expm1 (/ 1 (- x))) in x * [misc]taylor: Rewrote expression to (- (exp (/ 1 (- x))) 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]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 (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ -1 x)) -1) into (- (exp (/ -1 x)) 1) * [misc]backup-simplify: Simplify (/ (- (exp (- (* 2 (/ 1 x)))) 1) (- (exp (/ -1 x)) 1)) into (/ (- (exp (- (* 2 (/ 1 x)))) 1) (- (exp (/ -1 x)) 1)) * [misc]taylor: Taking taylor expansion of (/ (expm1 (+ (/ 1 (- x)) (/ 1 (- x)))) (expm1 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (expm1 (+ (/ 1 (- x)) (/ 1 (- x)))) in x * [misc]taylor: Rewrote expression to (- (exp (+ (/ 1 (- x)) (/ 1 (- x)))) 1) * [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 (expm1 (/ 1 (- x))) in x * [misc]taylor: Rewrote expression to (- (exp (/ 1 (- x))) 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]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 (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ -1 x)) -1) into (- (exp (/ -1 x)) 1) * [misc]backup-simplify: Simplify (/ (- (exp (- (* 2 (/ 1 x)))) 1) (- (exp (/ -1 x)) 1)) into (/ (- (exp (- (* 2 (/ 1 x)))) 1) (- (exp (/ -1 x)) 1)) * [misc]backup-simplify: Simplify (/ (- (exp (- (* 2 (/ 1 x)))) 1) (- (exp (/ -1 x)) 1)) into (/ (- (exp (- (* 2 (/ 1 x)))) 1) (- (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 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (/ -1 x)) 1)) (+ (* (/ (- (exp (- (* 2 (/ 1 x)))) 1) (- (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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (/ -1 x)) 1)) (+ (* (/ (- (exp (- (* 2 (/ 1 x)))) 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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (/ -1 x)) 1)) (+ (* (/ (- (exp (- (* 2 (/ 1 x)))) 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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (/ -1 x)) 1)) (+ (* (/ (- (exp (- (* 2 (/ 1 x)))) 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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (/ -1 x)) 1)) (+ (* (/ (- (exp (- (* 2 (/ 1 x)))) 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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (/ -1 x)) 1)) (+ (* (/ (- (exp (- (* 2 (/ 1 x)))) 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 (/ (- (exp (- (* 2 (/ 1 (/ 1 (- x)))))) 1) (- (exp (/ -1 (/ 1 (- x)))) 1)) into (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) * * * * [misc]progress: [ 2 / 2 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (sqrt (/ (expm1 (+ x x)) (expm1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ (expm1 (+ x x)) (expm1 x))) in x * [misc]taylor: Taking taylor expansion of (/ (expm1 (+ x x)) (expm1 x)) in x * [misc]taylor: Taking taylor expansion of (expm1 (+ x x)) in x * [misc]taylor: Rewrote expression to (- (exp (+ x x)) 1) * [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 (expm1 x) in x * [misc]taylor: Rewrote expression to (- (exp x) 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 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 2 1) 1)))) into 2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 2 0) into 2 * [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 (/ 2 1) into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (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 (* (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 (- (/ 2 1) (+ (* 2 (/ 1/2 1)))) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 2))) into (/ 1/2 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (sqrt (/ (expm1 (+ x x)) (expm1 x))) in x * [misc]taylor: Taking taylor expansion of (/ (expm1 (+ x x)) (expm1 x)) in x * [misc]taylor: Taking taylor expansion of (expm1 (+ x x)) in x * [misc]taylor: Rewrote expression to (- (exp (+ x x)) 1) * [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 (expm1 x) in x * [misc]taylor: Rewrote expression to (- (exp x) 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 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 2 1) 1)))) into 2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 2 0) into 2 * [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 (/ 2 1) into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (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 (* (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 (- (/ 2 1) (+ (* 2 (/ 1/2 1)))) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 2))) into (/ 1/2 (sqrt 2)) * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 1/2 (sqrt 2)) into (/ 1/2 (sqrt 2)) * [misc]backup-simplify: Simplify (+ 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 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 (- (/ 4/3 1) (+ (* 2 (/ 1/6 1)) (* 1 (/ 1/2 1)))) into 1/2 * [misc]backup-simplify: Simplify (/ (- 1/2 (pow (/ 1/2 (sqrt 2)) 2) (+)) (* 2 (sqrt 2))) into (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))) * [misc]backup-simplify: Simplify (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))) into (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))) * [misc]backup-simplify: Simplify (+ (* (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))) (pow x 2)) (+ (* (/ 1/2 (sqrt 2)) x) (sqrt 2))) into (- (+ (sqrt 2) (+ (* 1/4 (/ (pow x 2) (sqrt 2))) (* 1/2 (/ x (sqrt 2))))) (* 1/8 (/ (pow x 2) (pow (sqrt 2) 3)))) * [misc]approximate: Taking taylor expansion of (sqrt (/ (expm1 (+ (/ 1 x) (/ 1 x))) (expm1 (/ 1 x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ (expm1 (+ (/ 1 x) (/ 1 x))) (expm1 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (/ (expm1 (+ (/ 1 x) (/ 1 x))) (expm1 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (expm1 (+ (/ 1 x) (/ 1 x))) in x * [misc]taylor: Rewrote expression to (- (exp (+ (/ 1 x) (/ 1 x))) 1) * [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 (expm1 (/ 1 x)) in x * [misc]taylor: Rewrote expression to (- (exp (/ 1 x)) 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]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 (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ 1 x)) -1) into (- (exp (/ 1 x)) 1) * [misc]backup-simplify: Simplify (/ (- (exp (/ 2 x)) 1) (- (exp (/ 1 x)) 1)) into (/ (- (exp (/ 2 x)) 1) (- (exp (/ 1 x)) 1)) * [misc]backup-simplify: Simplify (sqrt (/ (- (exp (/ 2 x)) 1) (- (exp (/ 1 x)) 1))) into (sqrt (/ (- (exp (/ 2 x)) 1) (- (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 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (/ 1 x)) 1)) (+ (* (/ (- (exp (/ 2 x)) 1) (- (exp (/ 1 x)) 1)) (/ 0 (- (exp (/ 1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ (- (exp (/ 2 x)) 1) (- (exp (/ 1 x)) 1))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ (expm1 (+ (/ 1 x) (/ 1 x))) (expm1 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (/ (expm1 (+ (/ 1 x) (/ 1 x))) (expm1 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (expm1 (+ (/ 1 x) (/ 1 x))) in x * [misc]taylor: Rewrote expression to (- (exp (+ (/ 1 x) (/ 1 x))) 1) * [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 (expm1 (/ 1 x)) in x * [misc]taylor: Rewrote expression to (- (exp (/ 1 x)) 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]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 (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ 1 x)) -1) into (- (exp (/ 1 x)) 1) * [misc]backup-simplify: Simplify (/ (- (exp (/ 2 x)) 1) (- (exp (/ 1 x)) 1)) into (/ (- (exp (/ 2 x)) 1) (- (exp (/ 1 x)) 1)) * [misc]backup-simplify: Simplify (sqrt (/ (- (exp (/ 2 x)) 1) (- (exp (/ 1 x)) 1))) into (sqrt (/ (- (exp (/ 2 x)) 1) (- (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 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (/ 1 x)) 1)) (+ (* (/ (- (exp (/ 2 x)) 1) (- (exp (/ 1 x)) 1)) (/ 0 (- (exp (/ 1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ (- (exp (/ 2 x)) 1) (- (exp (/ 1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (sqrt (/ (- (exp (/ 2 x)) 1) (- (exp (/ 1 x)) 1))) into (sqrt (/ (- (exp (/ 2 x)) 1) (- (exp (/ 1 x)) 1))) * [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 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (/ 1 x)) 1)) (+ (* (/ (- (exp (/ 2 x)) 1) (- (exp (/ 1 x)) 1)) (/ 0 (- (exp (/ 1 x)) 1))) (* 0 (/ 0 (- (exp (/ 1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ (- (exp (/ 2 x)) 1) (- (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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (/ 1 x)) 1)) (+ (* (/ (- (exp (/ 2 x)) 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 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ (- (exp (/ 2 x)) 1) (- (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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (/ 1 x)) 1)) (+ (* (/ (- (exp (/ 2 x)) 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 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ (- (exp (/ 2 x)) 1) (- (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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (/ 1 x)) 1)) (+ (* (/ (- (exp (/ 2 x)) 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 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ (- (exp (/ 2 x)) 1) (- (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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (/ 1 x)) 1)) (+ (* (/ (- (exp (/ 2 x)) 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 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ (- (exp (/ 2 x)) 1) (- (exp (/ 1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (/ (- (exp (/ 2 (/ 1 x))) 1) (- (exp (/ 1 (/ 1 x))) 1))) into (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) * [misc]approximate: Taking taylor expansion of (sqrt (/ (expm1 (+ (/ 1 (- x)) (/ 1 (- x)))) (expm1 (/ 1 (- x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ (expm1 (+ (/ 1 (- x)) (/ 1 (- x)))) (expm1 (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (/ (expm1 (+ (/ 1 (- x)) (/ 1 (- x)))) (expm1 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (expm1 (+ (/ 1 (- x)) (/ 1 (- x)))) in x * [misc]taylor: Rewrote expression to (- (exp (+ (/ 1 (- x)) (/ 1 (- x)))) 1) * [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 (expm1 (/ 1 (- x))) in x * [misc]taylor: Rewrote expression to (- (exp (/ 1 (- x))) 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]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 (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ -1 x)) -1) into (- (exp (/ -1 x)) 1) * [misc]backup-simplify: Simplify (/ (- (exp (- (* 2 (/ 1 x)))) 1) (- (exp (/ -1 x)) 1)) into (/ (- (exp (- (* 2 (/ 1 x)))) 1) (- (exp (/ -1 x)) 1)) * [misc]backup-simplify: Simplify (sqrt (/ (- (exp (- (* 2 (/ 1 x)))) 1) (- (exp (/ -1 x)) 1))) into (sqrt (/ (- (exp (- (* 2 (/ 1 x)))) 1) (- (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 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (/ -1 x)) 1)) (+ (* (/ (- (exp (- (* 2 (/ 1 x)))) 1) (- (exp (/ -1 x)) 1)) (/ 0 (- (exp (/ -1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ (- (exp (- (* 2 (/ 1 x)))) 1) (- (exp (/ -1 x)) 1))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ (expm1 (+ (/ 1 (- x)) (/ 1 (- x)))) (expm1 (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (/ (expm1 (+ (/ 1 (- x)) (/ 1 (- x)))) (expm1 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (expm1 (+ (/ 1 (- x)) (/ 1 (- x)))) in x * [misc]taylor: Rewrote expression to (- (exp (+ (/ 1 (- x)) (/ 1 (- x)))) 1) * [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 (expm1 (/ 1 (- x))) in x * [misc]taylor: Rewrote expression to (- (exp (/ 1 (- x))) 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]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 (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ -1 x)) -1) into (- (exp (/ -1 x)) 1) * [misc]backup-simplify: Simplify (/ (- (exp (- (* 2 (/ 1 x)))) 1) (- (exp (/ -1 x)) 1)) into (/ (- (exp (- (* 2 (/ 1 x)))) 1) (- (exp (/ -1 x)) 1)) * [misc]backup-simplify: Simplify (sqrt (/ (- (exp (- (* 2 (/ 1 x)))) 1) (- (exp (/ -1 x)) 1))) into (sqrt (/ (- (exp (- (* 2 (/ 1 x)))) 1) (- (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 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (/ -1 x)) 1)) (+ (* (/ (- (exp (- (* 2 (/ 1 x)))) 1) (- (exp (/ -1 x)) 1)) (/ 0 (- (exp (/ -1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ (- (exp (- (* 2 (/ 1 x)))) 1) (- (exp (/ -1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (sqrt (/ (- (exp (- (* 2 (/ 1 x)))) 1) (- (exp (/ -1 x)) 1))) into (sqrt (/ (- (exp (- (* 2 (/ 1 x)))) 1) (- (exp (/ -1 x)) 1))) * [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 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (/ -1 x)) 1)) (+ (* (/ (- (exp (- (* 2 (/ 1 x)))) 1) (- (exp (/ -1 x)) 1)) (/ 0 (- (exp (/ -1 x)) 1))) (* 0 (/ 0 (- (exp (/ -1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ (- (exp (- (* 2 (/ 1 x)))) 1) (- (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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (/ -1 x)) 1)) (+ (* (/ (- (exp (- (* 2 (/ 1 x)))) 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 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ (- (exp (- (* 2 (/ 1 x)))) 1) (- (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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (/ -1 x)) 1)) (+ (* (/ (- (exp (- (* 2 (/ 1 x)))) 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 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ (- (exp (- (* 2 (/ 1 x)))) 1) (- (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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (/ -1 x)) 1)) (+ (* (/ (- (exp (- (* 2 (/ 1 x)))) 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 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ (- (exp (- (* 2 (/ 1 x)))) 1) (- (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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (/ -1 x)) 1)) (+ (* (/ (- (exp (- (* 2 (/ 1 x)))) 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 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ (- (exp (- (* 2 (/ 1 x)))) 1) (- (exp (/ -1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (/ (- (exp (- (* 2 (/ 1 (/ 1 (- x)))))) 1) (- (exp (/ -1 (/ 1 (- x)))) 1))) into (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ (expm1 (+ x x)) (expm1 x))) * * [misc]simplify: iters left: 6 (6 enodes) * [exit]simplify: Simplified to (expm1 (/ (expm1 (+ x x)) (expm1 x))) * [exit]simplify: Simplified to (expm1 (/ (expm1 (+ x x)) (expm1 x))) * * * * [misc]progress: [ 2 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (/ (expm1 (+ x x)) (expm1 x))) * * [misc]simplify: iters left: 6 (6 enodes) * [exit]simplify: Simplified to (log1p (/ (expm1 (+ x x)) (expm1 x))) * [exit]simplify: Simplified to (log1p (/ (expm1 (+ x x)) (expm1 x))) * * * * [misc]progress: [ 3 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (expm1 (+ x x))) (log (expm1 x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (- (log (expm1 (+ x x))) (log (expm1 x))) * [exit]simplify: Simplified to (- (log (expm1 (+ x x))) (log (expm1 x))) * * * * [misc]progress: [ 5 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (expm1 (+ x x)) (expm1 x))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (log (/ (expm1 (+ x x)) (expm1 x))) * [exit]simplify: Simplified to (log (/ (expm1 (+ x x)) (expm1 x))) * * * * [misc]progress: [ 6 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (expm1 (+ x x)) (expm1 x))) * * [misc]simplify: iters left: 6 (6 enodes) * [exit]simplify: Simplified to (exp (/ (expm1 (+ x x)) (expm1 x))) * [exit]simplify: Simplified to (exp (/ (expm1 (+ x x)) (expm1 x))) * * * * [misc]progress: [ 7 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (expm1 (+ x x)) (expm1 (+ x x))) (expm1 (+ x x))) (* (* (expm1 x) (expm1 x)) (expm1 x))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (96 enodes) * * [misc]simplify: iters left: 2 (149 enodes) * * [misc]simplify: iters left: 1 (166 enodes) * [exit]simplify: Simplified to (pow (/ (expm1 (+ x x)) (expm1 x)) 3) * [exit]simplify: Simplified to (pow (/ (expm1 (+ x x)) (expm1 x)) 3) * * * * [misc]progress: [ 8 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (expm1 (+ x x)) (expm1 x))) (cbrt (/ (expm1 (+ x x)) (expm1 x)))) * * [misc]simplify: iters left: 6 (7 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (expm1 (+ x x)) (expm1 x))) (cbrt (/ (expm1 (+ x x)) (expm1 x)))) * [exit]simplify: Simplified to (* (cbrt (/ (expm1 (+ x x)) (expm1 x))) (cbrt (/ (expm1 (+ x x)) (expm1 x)))) * [enter]simplify: Simplifying (cbrt (/ (expm1 (+ x x)) (expm1 x))) * * [misc]simplify: iters left: 6 (6 enodes) * [exit]simplify: Simplified to (cbrt (/ (expm1 (+ x x)) (expm1 x))) * [exit]simplify: Simplified to (cbrt (/ (expm1 (+ x x)) (expm1 x))) * * * * [misc]progress: [ 9 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (expm1 (+ x x)) (expm1 x)) (/ (expm1 (+ x x)) (expm1 x))) (/ (expm1 (+ x x)) (expm1 x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (98 enodes) * * [misc]simplify: iters left: 1 (127 enodes) * [exit]simplify: Simplified to (pow (/ (expm1 (+ x x)) (expm1 x)) 3) * [exit]simplify: Simplified to (pow (/ (expm1 (+ x x)) (expm1 x)) 3) * * * * [misc]progress: [ 10 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (expm1 (+ x x)) (expm1 x))) * * [misc]simplify: iters left: 6 (6 enodes) * [exit]simplify: Simplified to (sqrt (/ (expm1 (+ x x)) (expm1 x))) * [exit]simplify: Simplified to (sqrt (/ (expm1 (+ x x)) (expm1 x))) * [enter]simplify: Simplifying (sqrt (/ (expm1 (+ x x)) (expm1 x))) * * [misc]simplify: iters left: 6 (6 enodes) * [exit]simplify: Simplified to (sqrt (/ (expm1 (+ x x)) (expm1 x))) * [exit]simplify: Simplified to (sqrt (/ (expm1 (+ x x)) (expm1 x))) * * * * [misc]progress: [ 11 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (- (expm1 (+ x x))) * * [misc]simplify: iters left: 5 (4 enodes) * [exit]simplify: Simplified to (- (expm1 (+ x x))) * [exit]simplify: Simplified to (- (expm1 (+ x x))) * [enter]simplify: Simplifying (- (expm1 x)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (- (expm1 x)) * [exit]simplify: Simplified to (- (expm1 x)) * * * * [misc]progress: [ 12 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (+ x x)) (expm1 x)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * * [misc]simplify: iters left: 1 (12 enodes) * [exit]simplify: Simplified to (/ (exp (+ x x)) (expm1 x)) * [exit]simplify: Simplified to (/ (exp (+ x x)) (expm1 x)) * [enter]simplify: Simplifying (/ 1 (expm1 x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (/ 1 (expm1 x)) * [exit]simplify: Simplified to (/ 1 (expm1 x)) * * * * [misc]progress: [ 13 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (expm1 (+ x x))) (cbrt (expm1 (+ x x)))) (* (cbrt (expm1 x)) (cbrt (expm1 x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (expm1 (+ x x))) (cbrt (expm1 x))) (/ (cbrt (expm1 (+ x x))) (cbrt (expm1 x)))) * [exit]simplify: Simplified to (* (/ (cbrt (expm1 (+ x x))) (cbrt (expm1 x))) (/ (cbrt (expm1 (+ x x))) (cbrt (expm1 x)))) * [enter]simplify: Simplifying (/ (cbrt (expm1 (+ x x))) (cbrt (expm1 x))) * * [misc]simplify: iters left: 6 (7 enodes) * [exit]simplify: Simplified to (/ (cbrt (expm1 (+ x x))) (cbrt (expm1 x))) * [exit]simplify: Simplified to (/ (cbrt (expm1 (+ x x))) (cbrt (expm1 x))) * * * * [misc]progress: [ 14 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (expm1 (+ x x))) (cbrt (expm1 (+ x x)))) (sqrt (expm1 x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (/ (cbrt (expm1 (+ x x))) (/ (sqrt (expm1 x)) (cbrt (expm1 (+ x x))))) * [exit]simplify: Simplified to (/ (cbrt (expm1 (+ x x))) (/ (sqrt (expm1 x)) (cbrt (expm1 (+ x x))))) * [enter]simplify: Simplifying (/ (cbrt (expm1 (+ x x))) (sqrt (expm1 x))) * * [misc]simplify: iters left: 6 (7 enodes) * [exit]simplify: Simplified to (/ (cbrt (expm1 (+ x x))) (sqrt (expm1 x))) * [exit]simplify: Simplified to (/ (cbrt (expm1 (+ x x))) (sqrt (expm1 x))) * * * * [misc]progress: [ 15 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (expm1 (+ x x))) (cbrt (expm1 (+ x x)))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * [exit]simplify: Simplified to (* (cbrt (expm1 (+ x x))) (cbrt (expm1 (+ x x)))) * [exit]simplify: Simplified to (* (cbrt (expm1 (+ x x))) (cbrt (expm1 (+ x x)))) * [enter]simplify: Simplifying (/ (cbrt (expm1 (+ x x))) (expm1 x)) * * [misc]simplify: iters left: 6 (6 enodes) * [exit]simplify: Simplified to (/ (cbrt (expm1 (+ x x))) (expm1 x)) * [exit]simplify: Simplified to (/ (cbrt (expm1 (+ x x))) (expm1 x)) * * * * [misc]progress: [ 16 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (expm1 (+ x x))) (* (cbrt (expm1 x)) (cbrt (expm1 x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (sqrt (expm1 (+ x x))) (* (cbrt (expm1 x)) (cbrt (expm1 x)))) * [exit]simplify: Simplified to (/ (sqrt (expm1 (+ x x))) (* (cbrt (expm1 x)) (cbrt (expm1 x)))) * [enter]simplify: Simplifying (/ (sqrt (expm1 (+ x x))) (cbrt (expm1 x))) * * [misc]simplify: iters left: 6 (7 enodes) * [exit]simplify: Simplified to (/ (sqrt (expm1 (+ x x))) (cbrt (expm1 x))) * [exit]simplify: Simplified to (/ (sqrt (expm1 (+ x x))) (cbrt (expm1 x))) * * * * [misc]progress: [ 17 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (expm1 (+ x x))) (sqrt (expm1 x))) * * [misc]simplify: iters left: 6 (7 enodes) * [exit]simplify: Simplified to (/ (sqrt (expm1 (+ x x))) (sqrt (expm1 x))) * [exit]simplify: Simplified to (/ (sqrt (expm1 (+ x x))) (sqrt (expm1 x))) * [enter]simplify: Simplifying (/ (sqrt (expm1 (+ x x))) (sqrt (expm1 x))) * * [misc]simplify: iters left: 6 (7 enodes) * [exit]simplify: Simplified to (/ (sqrt (expm1 (+ x x))) (sqrt (expm1 x))) * [exit]simplify: Simplified to (/ (sqrt (expm1 (+ x x))) (sqrt (expm1 x))) * * * * [misc]progress: [ 18 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (expm1 (+ x x))) 1) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (sqrt (expm1 (+ x x))) * [exit]simplify: Simplified to (sqrt (expm1 (+ x x))) * [enter]simplify: Simplifying (/ (sqrt (expm1 (+ x x))) (expm1 x)) * * [misc]simplify: iters left: 6 (6 enodes) * [exit]simplify: Simplified to (/ (sqrt (expm1 (+ x x))) (expm1 x)) * [exit]simplify: Simplified to (/ (sqrt (expm1 (+ x x))) (expm1 x)) * * * * [misc]progress: [ 19 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (expm1 x)) (cbrt (expm1 x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (expm1 x))) (cbrt (expm1 x))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (expm1 x))) (cbrt (expm1 x))) * [enter]simplify: Simplifying (/ (expm1 (+ x x)) (cbrt (expm1 x))) * * [misc]simplify: iters left: 5 (6 enodes) * [exit]simplify: Simplified to (/ (expm1 (+ x x)) (cbrt (expm1 x))) * [exit]simplify: Simplified to (/ (expm1 (+ x x)) (cbrt (expm1 x))) * * * * [misc]progress: [ 20 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (expm1 x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (expm1 x))) * [exit]simplify: Simplified to (/ 1 (sqrt (expm1 x))) * [enter]simplify: Simplifying (/ (expm1 (+ x x)) (sqrt (expm1 x))) * * [misc]simplify: iters left: 5 (6 enodes) * [exit]simplify: Simplified to (/ (expm1 (+ x x)) (sqrt (expm1 x))) * [exit]simplify: Simplified to (/ (expm1 (+ x x)) (sqrt (expm1 x))) * * * * [misc]progress: [ 21 / 62 ] 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 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (expm1 (+ x x)) (expm1 x)) * * [misc]simplify: iters left: 5 (5 enodes) * [exit]simplify: Simplified to (/ (expm1 (+ x x)) (expm1 x)) * [exit]simplify: Simplified to (/ (expm1 (+ x x)) (expm1 x)) * * * * [misc]progress: [ 22 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (expm1 x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (/ 1 (expm1 x)) * [exit]simplify: Simplified to (/ 1 (expm1 x)) * * * * [misc]progress: [ 24 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (expm1 x) (expm1 (+ x x))) * * [misc]simplify: iters left: 5 (5 enodes) * [exit]simplify: Simplified to (/ (expm1 x) (expm1 (+ x x))) * [exit]simplify: Simplified to (/ (expm1 x) (expm1 (+ x x))) * * * * [misc]progress: [ 25 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (expm1 (+ x x)) (* (cbrt (expm1 x)) (cbrt (expm1 x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ (expm1 (+ x x)) (* (cbrt (expm1 x)) (cbrt (expm1 x)))) * [exit]simplify: Simplified to (/ (expm1 (+ x x)) (* (cbrt (expm1 x)) (cbrt (expm1 x)))) * * * * [misc]progress: [ 26 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (expm1 (+ x x)) (sqrt (expm1 x))) * * [misc]simplify: iters left: 5 (6 enodes) * [exit]simplify: Simplified to (/ (expm1 (+ x x)) (sqrt (expm1 x))) * [exit]simplify: Simplified to (/ (expm1 (+ x x)) (sqrt (expm1 x))) * * * * [misc]progress: [ 27 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (expm1 (+ x x)) 1) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [exit]simplify: Simplified to (expm1 (+ x x)) * [exit]simplify: Simplified to (expm1 (+ x x)) * * * * [misc]progress: [ 28 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (expm1 x) (cbrt (expm1 (+ x x)))) * * [misc]simplify: iters left: 6 (6 enodes) * [exit]simplify: Simplified to (/ (expm1 x) (cbrt (expm1 (+ x x)))) * [exit]simplify: Simplified to (/ (expm1 x) (cbrt (expm1 (+ x x)))) * * * * [misc]progress: [ 29 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (expm1 x) (sqrt (expm1 (+ x x)))) * * [misc]simplify: iters left: 6 (6 enodes) * [exit]simplify: Simplified to (/ (expm1 x) (sqrt (expm1 (+ x x)))) * [exit]simplify: Simplified to (/ (expm1 x) (sqrt (expm1 (+ x x)))) * * * * [misc]progress: [ 30 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (expm1 x) (expm1 (+ x x))) * * [misc]simplify: iters left: 5 (5 enodes) * [exit]simplify: Simplified to (/ (expm1 x) (expm1 (+ x x))) * [exit]simplify: Simplified to (/ (expm1 x) (expm1 (+ x x))) * * * * [misc]progress: [ 31 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (sqrt (/ (expm1 (+ x x)) (expm1 x)))) * * [misc]simplify: iters left: 6 (7 enodes) * [exit]simplify: Simplified to (expm1 (sqrt (/ (expm1 (+ x x)) (expm1 x)))) * [exit]simplify: Simplified to (expm1 (sqrt (/ (expm1 (+ x x)) (expm1 x)))) * * * * [misc]progress: [ 32 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (sqrt (/ (expm1 (+ x x)) (expm1 x)))) * * [misc]simplify: iters left: 6 (7 enodes) * [exit]simplify: Simplified to (log1p (sqrt (/ (expm1 (+ x x)) (expm1 x)))) * [exit]simplify: Simplified to (log1p (sqrt (/ (expm1 (+ x x)) (expm1 x)))) * * * * [misc]progress: [ 33 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (/ (expm1 (+ x x)) (expm1 x)))) * * [misc]simplify: iters left: 6 (7 enodes) * [exit]simplify: Simplified to (log (sqrt (/ (expm1 (+ x x)) (expm1 x)))) * [exit]simplify: Simplified to (log (sqrt (/ (expm1 (+ x x)) (expm1 x)))) * * * * [misc]progress: [ 36 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (/ (expm1 (+ x x)) (expm1 x)))) * * [misc]simplify: iters left: 6 (7 enodes) * [exit]simplify: Simplified to (exp (sqrt (/ (expm1 (+ x x)) (expm1 x)))) * [exit]simplify: Simplified to (exp (sqrt (/ (expm1 (+ x x)) (expm1 x)))) * * * * [misc]progress: [ 37 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (/ (expm1 (+ x x)) (expm1 x)))) (cbrt (sqrt (/ (expm1 (+ x x)) (expm1 x))))) * * [misc]simplify: iters left: 6 (8 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (/ (expm1 (+ x x)) (expm1 x)))) (cbrt (sqrt (/ (expm1 (+ x x)) (expm1 x))))) * [exit]simplify: Simplified to (* (cbrt (sqrt (/ (expm1 (+ x x)) (expm1 x)))) (cbrt (sqrt (/ (expm1 (+ x x)) (expm1 x))))) * [enter]simplify: Simplifying (cbrt (sqrt (/ (expm1 (+ x x)) (expm1 x)))) * * [misc]simplify: iters left: 6 (7 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (/ (expm1 (+ x x)) (expm1 x)))) * [exit]simplify: Simplified to (cbrt (sqrt (/ (expm1 (+ x x)) (expm1 x)))) * * * * [misc]progress: [ 38 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt (/ (expm1 (+ x x)) (expm1 x))) (sqrt (/ (expm1 (+ x x)) (expm1 x)))) (sqrt (/ (expm1 (+ x x)) (expm1 x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * * [misc]simplify: iters left: 1 (23 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (expm1 (+ x x)) (expm1 x))) (/ (expm1 (+ x x)) (expm1 x))) * [exit]simplify: Simplified to (* (sqrt (/ (expm1 (+ x x)) (expm1 x))) (/ (expm1 (+ x x)) (expm1 x))) * * * * [misc]progress: [ 39 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (/ (expm1 (+ x x)) (expm1 x))) (cbrt (/ (expm1 (+ x x)) (expm1 x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (fabs (cbrt (/ (expm1 (+ x x)) (expm1 x)))) * [exit]simplify: Simplified to (fabs (cbrt (/ (expm1 (+ x x)) (expm1 x)))) * [enter]simplify: Simplifying (sqrt (cbrt (/ (expm1 (+ x x)) (expm1 x)))) * * [misc]simplify: iters left: 6 (7 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (/ (expm1 (+ x x)) (expm1 x)))) * [exit]simplify: Simplified to (sqrt (cbrt (/ (expm1 (+ x x)) (expm1 x)))) * * * * [misc]progress: [ 40 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (/ (expm1 (+ x x)) (expm1 x)))) * * [misc]simplify: iters left: 6 (7 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (/ (expm1 (+ x x)) (expm1 x)))) * [exit]simplify: Simplified to (sqrt (sqrt (/ (expm1 (+ x x)) (expm1 x)))) * [enter]simplify: Simplifying (sqrt (sqrt (/ (expm1 (+ x x)) (expm1 x)))) * * [misc]simplify: iters left: 6 (7 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (/ (expm1 (+ x x)) (expm1 x)))) * [exit]simplify: Simplified to (sqrt (sqrt (/ (expm1 (+ x x)) (expm1 x)))) * * * * [misc]progress: [ 41 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (* (cbrt (expm1 (+ x x))) (cbrt (expm1 (+ x x)))) (* (cbrt (expm1 x)) (cbrt (expm1 x))))) * * [misc]simplify: iters left: 6 (10 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 (32 enodes) * [exit]simplify: Simplified to (fabs (/ (cbrt (expm1 (+ x x))) (cbrt (expm1 x)))) * [exit]simplify: Simplified to (fabs (/ (cbrt (expm1 (+ x x))) (cbrt (expm1 x)))) * [enter]simplify: Simplifying (sqrt (/ (cbrt (expm1 (+ x x))) (cbrt (expm1 x)))) * * [misc]simplify: iters left: 6 (8 enodes) * [exit]simplify: Simplified to (sqrt (/ (cbrt (expm1 (+ x x))) (cbrt (expm1 x)))) * [exit]simplify: Simplified to (sqrt (/ (cbrt (expm1 (+ x x))) (cbrt (expm1 x)))) * * * * [misc]progress: [ 42 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (* (cbrt (expm1 (+ x x))) (cbrt (expm1 (+ x x)))) (sqrt (expm1 x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (expm1 (+ x x))) (/ (cbrt (expm1 (+ x x))) (sqrt (expm1 x))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (expm1 (+ x x))) (/ (cbrt (expm1 (+ x x))) (sqrt (expm1 x))))) * [enter]simplify: Simplifying (sqrt (/ (cbrt (expm1 (+ x x))) (sqrt (expm1 x)))) * * [misc]simplify: iters left: 6 (8 enodes) * [exit]simplify: Simplified to (sqrt (/ (cbrt (expm1 (+ x x))) (sqrt (expm1 x)))) * [exit]simplify: Simplified to (sqrt (/ (cbrt (expm1 (+ x x))) (sqrt (expm1 x)))) * * * * [misc]progress: [ 43 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (* (cbrt (expm1 (+ x x))) (cbrt (expm1 (+ x x)))) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * [exit]simplify: Simplified to (fabs (cbrt (expm1 (+ x x)))) * [exit]simplify: Simplified to (fabs (cbrt (expm1 (+ x x)))) * [enter]simplify: Simplifying (sqrt (/ (cbrt (expm1 (+ x x))) (expm1 x))) * * [misc]simplify: iters left: 6 (7 enodes) * [exit]simplify: Simplified to (sqrt (/ (cbrt (expm1 (+ x x))) (expm1 x))) * [exit]simplify: Simplified to (sqrt (/ (cbrt (expm1 (+ x x))) (expm1 x))) * * * * [misc]progress: [ 44 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (sqrt (expm1 (+ x x))) (* (cbrt (expm1 x)) (cbrt (expm1 x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (sqrt (/ (sqrt (expm1 (+ x x))) (* (cbrt (expm1 x)) (cbrt (expm1 x))))) * [exit]simplify: Simplified to (sqrt (/ (sqrt (expm1 (+ x x))) (* (cbrt (expm1 x)) (cbrt (expm1 x))))) * [enter]simplify: Simplifying (sqrt (/ (sqrt (expm1 (+ x x))) (cbrt (expm1 x)))) * * [misc]simplify: iters left: 6 (8 enodes) * [exit]simplify: Simplified to (sqrt (/ (sqrt (expm1 (+ x x))) (cbrt (expm1 x)))) * [exit]simplify: Simplified to (sqrt (/ (sqrt (expm1 (+ x x))) (cbrt (expm1 x)))) * * * * [misc]progress: [ 45 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (sqrt (expm1 (+ x x))) (sqrt (expm1 x)))) * * [misc]simplify: iters left: 6 (8 enodes) * [exit]simplify: Simplified to (sqrt (/ (sqrt (expm1 (+ x x))) (sqrt (expm1 x)))) * [exit]simplify: Simplified to (sqrt (/ (sqrt (expm1 (+ x x))) (sqrt (expm1 x)))) * [enter]simplify: Simplifying (sqrt (/ (sqrt (expm1 (+ x x))) (sqrt (expm1 x)))) * * [misc]simplify: iters left: 6 (8 enodes) * [exit]simplify: Simplified to (sqrt (/ (sqrt (expm1 (+ x x))) (sqrt (expm1 x)))) * [exit]simplify: Simplified to (sqrt (/ (sqrt (expm1 (+ x x))) (sqrt (expm1 x)))) * * * * [misc]progress: [ 46 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (sqrt (expm1 (+ x x))) 1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (expm1 (+ x x)))) * [exit]simplify: Simplified to (sqrt (sqrt (expm1 (+ x x)))) * [enter]simplify: Simplifying (sqrt (/ (sqrt (expm1 (+ x x))) (expm1 x))) * * [misc]simplify: iters left: 6 (7 enodes) * [exit]simplify: Simplified to (sqrt (/ (sqrt (expm1 (+ x x))) (expm1 x))) * [exit]simplify: Simplified to (sqrt (/ (sqrt (expm1 (+ x x))) (expm1 x))) * * * * [misc]progress: [ 47 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 1 (* (cbrt (expm1 x)) (cbrt (expm1 x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ 1 (cbrt (expm1 x))) (cbrt (expm1 x)))) * [exit]simplify: Simplified to (sqrt (/ (/ 1 (cbrt (expm1 x))) (cbrt (expm1 x)))) * [enter]simplify: Simplifying (sqrt (/ (expm1 (+ x x)) (cbrt (expm1 x)))) * * [misc]simplify: iters left: 6 (7 enodes) * [exit]simplify: Simplified to (sqrt (/ (expm1 (+ x x)) (cbrt (expm1 x)))) * [exit]simplify: Simplified to (sqrt (/ (expm1 (+ x x)) (cbrt (expm1 x)))) * * * * [misc]progress: [ 48 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 1 (sqrt (expm1 x)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (sqrt (/ 1 (sqrt (expm1 x)))) * [exit]simplify: Simplified to (sqrt (/ 1 (sqrt (expm1 x)))) * [enter]simplify: Simplifying (sqrt (/ (expm1 (+ x x)) (sqrt (expm1 x)))) * * [misc]simplify: iters left: 6 (7 enodes) * [exit]simplify: Simplified to (sqrt (/ (expm1 (+ x x)) (sqrt (expm1 x)))) * [exit]simplify: Simplified to (sqrt (/ (expm1 (+ x x)) (sqrt (expm1 x)))) * * * * [misc]progress: [ 49 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 1 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (sqrt 1) * [exit]simplify: Simplified to (sqrt 1) * [enter]simplify: Simplifying (sqrt (/ (expm1 (+ x x)) (expm1 x))) * * [misc]simplify: iters left: 6 (6 enodes) * [exit]simplify: Simplified to (sqrt (/ (expm1 (+ x x)) (expm1 x))) * [exit]simplify: Simplified to (sqrt (/ (expm1 (+ x x)) (expm1 x))) * * * * [misc]progress: [ 50 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [exit]simplify: Simplified to (sqrt 1) * [enter]simplify: Simplifying (sqrt (/ (expm1 (+ x x)) (expm1 x))) * * [misc]simplify: iters left: 6 (6 enodes) * [exit]simplify: Simplified to (sqrt (/ (expm1 (+ x x)) (expm1 x))) * [exit]simplify: Simplified to (sqrt (/ (expm1 (+ x x)) (expm1 x))) * * * * [misc]progress: [ 51 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (expm1 (+ x x))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (sqrt (expm1 (+ x x))) * [exit]simplify: Simplified to (sqrt (expm1 (+ x x))) * [enter]simplify: Simplifying (sqrt (/ 1 (expm1 x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (sqrt (/ 1 (expm1 x))) * [exit]simplify: Simplified to (sqrt (/ 1 (expm1 x))) * * * * [misc]progress: [ 52 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (expm1 (+ x x))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (sqrt (expm1 (+ x x))) * [exit]simplify: Simplified to (sqrt (expm1 (+ x x))) * [enter]simplify: Simplifying (sqrt (expm1 x)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (expm1 x)) * [exit]simplify: Simplified to (sqrt (expm1 x)) * * * * [misc]progress: [ 53 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (/ (expm1 (+ x x)) (expm1 x)))) * * [misc]simplify: iters left: 6 (7 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (/ (expm1 (+ x x)) (expm1 x)))) * [exit]simplify: Simplified to (sqrt (sqrt (/ (expm1 (+ x x)) (expm1 x)))) * [enter]simplify: Simplifying (sqrt (sqrt (/ (expm1 (+ x x)) (expm1 x)))) * * [misc]simplify: iters left: 6 (7 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (/ (expm1 (+ x x)) (expm1 x)))) * [exit]simplify: Simplified to (sqrt (sqrt (/ (expm1 (+ x x)) (expm1 x)))) * * * * [misc]progress: [ 54 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 57 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ x (+ (* 1/2 (pow x 2)) 2))) * * [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 (41 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * [exit]simplify: Simplified to (sqrt (fma (fma 1/2 x 1) x 2)) * * * * [misc]progress: [ 58 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (95 enodes) * [exit]simplify: Simplified to (sqrt (+ (exp x) 1)) * * * * [misc]progress: [ 59 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (95 enodes) * [exit]simplify: Simplified to (sqrt (+ (exp x) 1)) * * * * [misc]progress: [ 60 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (sqrt 2) (+ (* 1/4 (/ (pow x 2) (sqrt 2))) (* 1/2 (/ x (sqrt 2))))) (* 1/8 (/ (pow x 2) (pow (sqrt 2) 3)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (109 enodes) * * [misc]simplify: iters left: 3 (302 enodes) * [exit]simplify: Simplified to (fma 1/2 (/ x (sqrt 2)) (fma (/ (* x x) (sqrt 2)) (- 1/4 (/ 1/8 2)) (sqrt 2))) * * * * [misc]progress: [ 61 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (95 enodes) * [exit]simplify: Simplified to (sqrt (+ (exp x) 1)) * * * * [misc]progress: [ 62 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (95 enodes) * [exit]simplify: Simplified to (sqrt (+ (exp x) 1)) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 4 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 1 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 2) * [misc]approximate: Taking taylor expansion of (cbrt (+ (exp x) 1)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ (exp x) 1)) in x * [misc]taylor: Rewrote expression to (pow (+ (exp x) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (exp x) 1)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (exp x) 1))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (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 (log 2) into (log 2) * [misc]backup-simplify: Simplify (* 1/3 (log 2)) into (* 1/3 (log 2)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log 2))) into (pow 2 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ (exp x) 1)) in x * [misc]taylor: Rewrote expression to (pow (+ (exp x) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (exp x) 1)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (exp x) 1))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (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 (log 2) into (log 2) * [misc]backup-simplify: Simplify (* 1/3 (log 2)) into (* 1/3 (log 2)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log 2))) into (pow 2 1/3) * [misc]backup-simplify: Simplify (pow 2 1/3) into (pow 2 1/3) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 2 1)))) 1) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1/3 1/2) (* 0 (log 2))) into 1/6 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log 2))) (+ (* (/ (pow 1/6 1) 1)))) into (* 1/6 (pow 2 1/3)) * [misc]backup-simplify: Simplify (* 1/6 (pow 2 1/3)) into (* 1/6 (pow 2 1/3)) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 1/2) 1)) (pow 2 1)))) 2) into 1/8 * [misc]backup-simplify: Simplify (+ (* 1/3 1/8) (+ (* 0 1/2) (* 0 (log 2)))) into 1/24 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log 2))) (+ (* (/ (pow 1/6 2) 2)) (* (/ (pow 1/24 1) 1)))) into (* 1/18 (pow 2 1/3)) * [misc]backup-simplify: Simplify (* 1/18 (pow 2 1/3)) into (* 1/18 (pow 2 1/3)) * [misc]backup-simplify: Simplify (+ (* (* 1/18 (pow 2 1/3)) (pow x 2)) (+ (* (* 1/6 (pow 2 1/3)) x) (pow 2 1/3))) into (+ (* 1/18 (* (pow x 2) (pow 2 1/3))) (+ (* 1/6 (* x (pow 2 1/3))) (pow 2 1/3))) * [misc]approximate: Taking taylor expansion of (cbrt (+ (exp (/ 1 x)) 1)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ (exp (/ 1 x)) 1)) in x * [misc]taylor: Rewrote expression to (pow (+ (exp (/ 1 x)) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (exp (/ 1 x)) 1)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (exp (/ 1 x)) 1))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (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 (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (exp (/ 1 x)) 1))) into (* 1/3 (log (+ (exp (/ 1 x)) 1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (exp (/ 1 x)) 1)))) into (pow (+ (exp (/ 1 x)) 1) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ (exp (/ 1 x)) 1)) in x * [misc]taylor: Rewrote expression to (pow (+ (exp (/ 1 x)) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (exp (/ 1 x)) 1)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (exp (/ 1 x)) 1))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (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 (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (exp (/ 1 x)) 1))) into (* 1/3 (log (+ (exp (/ 1 x)) 1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (exp (/ 1 x)) 1)))) into (pow (+ (exp (/ 1 x)) 1) 1/3) * [misc]backup-simplify: Simplify (pow (+ (exp (/ 1 x)) 1) 1/3) into (pow (+ (exp (/ 1 x)) 1) 1/3) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (+ (exp (/ 1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (/ 1 x)) 1)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (exp (/ 1 x)) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (+ (exp (/ 1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (/ 1 x)) 1)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (+ (exp (/ 1 x)) 1) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (+ (exp (/ 1 x)) 1) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (+ (exp (/ 1 x)) 1)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (/ 1 x)) 1)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (+ (exp (/ 1 x)) 1) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (+ (exp (/ 1 x)) 1) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (+ (exp (/ 1 x)) 1) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (+ (exp (/ 1 x)) 1) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (+ (exp (/ 1 x)) 1))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (/ 1 x)) 1)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (+ (exp (/ 1 x)) 1) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (+ (exp (/ 1 x)) 1) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (+ (exp (/ 1 x)) 1) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (+ (exp (/ 1 x)) 1) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (+ (exp (/ 1 x)) 1) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (+ (exp (/ 1 x)) 1) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (+ (exp (/ 1 x)) 1)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (/ 1 x)) 1)))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (+ (exp (/ 1 x)) 1) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (+ (exp (/ 1 x)) 1) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (+ (exp (/ 1 x)) 1) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (+ (exp (/ 1 x)) 1) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (+ (exp (/ 1 x)) 1) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (+ (exp (/ 1 x)) 1) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (+ (exp (/ 1 x)) 1) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (+ (exp (/ 1 x)) 1) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (+ (exp (/ 1 x)) 1) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (+ (exp (/ 1 x)) 1) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (+ (exp (/ 1 x)) 1))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (/ 1 x)) 1)))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (+ (exp (/ 1 (/ 1 x))) 1) 1/3) into (pow (+ (exp x) 1) 1/3) * [misc]approximate: Taking taylor expansion of (cbrt (+ (exp (/ 1 (- x))) 1)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ (exp (/ 1 (- x))) 1)) in x * [misc]taylor: Rewrote expression to (pow (+ (exp (/ 1 (- x))) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (exp (/ 1 (- x))) 1)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (exp (/ 1 (- x))) 1))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (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 (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (exp (/ -1 x)) 1))) into (* 1/3 (log (+ (exp (/ -1 x)) 1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (exp (/ -1 x)) 1)))) into (pow (+ (exp (/ -1 x)) 1) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ (exp (/ 1 (- x))) 1)) in x * [misc]taylor: Rewrote expression to (pow (+ (exp (/ 1 (- x))) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (exp (/ 1 (- x))) 1)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (exp (/ 1 (- x))) 1))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (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 (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (exp (/ -1 x)) 1))) into (* 1/3 (log (+ (exp (/ -1 x)) 1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (exp (/ -1 x)) 1)))) into (pow (+ (exp (/ -1 x)) 1) 1/3) * [misc]backup-simplify: Simplify (pow (+ (exp (/ -1 x)) 1) 1/3) into (pow (+ (exp (/ -1 x)) 1) 1/3) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (+ (exp (/ -1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (/ -1 x)) 1)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (exp (/ -1 x)) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (+ (exp (/ -1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (/ -1 x)) 1)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (+ (exp (/ -1 x)) 1) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (+ (exp (/ -1 x)) 1) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (+ (exp (/ -1 x)) 1)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (/ -1 x)) 1)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (+ (exp (/ -1 x)) 1) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (+ (exp (/ -1 x)) 1) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (+ (exp (/ -1 x)) 1) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (+ (exp (/ -1 x)) 1) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (+ (exp (/ -1 x)) 1))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (/ -1 x)) 1)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (+ (exp (/ -1 x)) 1) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (+ (exp (/ -1 x)) 1) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (+ (exp (/ -1 x)) 1) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (+ (exp (/ -1 x)) 1) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (+ (exp (/ -1 x)) 1) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (+ (exp (/ -1 x)) 1) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (+ (exp (/ -1 x)) 1)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (/ -1 x)) 1)))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (+ (exp (/ -1 x)) 1) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (+ (exp (/ -1 x)) 1) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (+ (exp (/ -1 x)) 1) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (+ (exp (/ -1 x)) 1) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (+ (exp (/ -1 x)) 1) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (+ (exp (/ -1 x)) 1) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (+ (exp (/ -1 x)) 1) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (+ (exp (/ -1 x)) 1) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (+ (exp (/ -1 x)) 1) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (+ (exp (/ -1 x)) 1) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (+ (exp (/ -1 x)) 1))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (/ -1 x)) 1)))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (+ (exp (/ -1 (/ 1 (- x)))) 1) 1/3) into (pow (+ (exp x) 1) 1/3) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 1 2) * [misc]approximate: Taking taylor expansion of (cbrt (+ (exp x) 1)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ (exp x) 1)) in x * [misc]taylor: Rewrote expression to (pow (+ (exp x) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (exp x) 1)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (exp x) 1))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (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 (log 2) into (log 2) * [misc]backup-simplify: Simplify (* 1/3 (log 2)) into (* 1/3 (log 2)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log 2))) into (pow 2 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ (exp x) 1)) in x * [misc]taylor: Rewrote expression to (pow (+ (exp x) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (exp x) 1)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (exp x) 1))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (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 (log 2) into (log 2) * [misc]backup-simplify: Simplify (* 1/3 (log 2)) into (* 1/3 (log 2)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log 2))) into (pow 2 1/3) * [misc]backup-simplify: Simplify (pow 2 1/3) into (pow 2 1/3) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 2 1)))) 1) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1/3 1/2) (* 0 (log 2))) into 1/6 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log 2))) (+ (* (/ (pow 1/6 1) 1)))) into (* 1/6 (pow 2 1/3)) * [misc]backup-simplify: Simplify (* 1/6 (pow 2 1/3)) into (* 1/6 (pow 2 1/3)) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 1/2) 1)) (pow 2 1)))) 2) into 1/8 * [misc]backup-simplify: Simplify (+ (* 1/3 1/8) (+ (* 0 1/2) (* 0 (log 2)))) into 1/24 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log 2))) (+ (* (/ (pow 1/6 2) 2)) (* (/ (pow 1/24 1) 1)))) into (* 1/18 (pow 2 1/3)) * [misc]backup-simplify: Simplify (* 1/18 (pow 2 1/3)) into (* 1/18 (pow 2 1/3)) * [misc]backup-simplify: Simplify (+ (* (* 1/18 (pow 2 1/3)) (pow x 2)) (+ (* (* 1/6 (pow 2 1/3)) x) (pow 2 1/3))) into (+ (* 1/18 (* (pow x 2) (pow 2 1/3))) (+ (* 1/6 (* x (pow 2 1/3))) (pow 2 1/3))) * [misc]approximate: Taking taylor expansion of (cbrt (+ (exp (/ 1 x)) 1)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ (exp (/ 1 x)) 1)) in x * [misc]taylor: Rewrote expression to (pow (+ (exp (/ 1 x)) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (exp (/ 1 x)) 1)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (exp (/ 1 x)) 1))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (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 (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (exp (/ 1 x)) 1))) into (* 1/3 (log (+ (exp (/ 1 x)) 1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (exp (/ 1 x)) 1)))) into (pow (+ (exp (/ 1 x)) 1) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ (exp (/ 1 x)) 1)) in x * [misc]taylor: Rewrote expression to (pow (+ (exp (/ 1 x)) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (exp (/ 1 x)) 1)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (exp (/ 1 x)) 1))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (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 (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (exp (/ 1 x)) 1))) into (* 1/3 (log (+ (exp (/ 1 x)) 1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (exp (/ 1 x)) 1)))) into (pow (+ (exp (/ 1 x)) 1) 1/3) * [misc]backup-simplify: Simplify (pow (+ (exp (/ 1 x)) 1) 1/3) into (pow (+ (exp (/ 1 x)) 1) 1/3) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (+ (exp (/ 1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (/ 1 x)) 1)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (exp (/ 1 x)) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (+ (exp (/ 1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (/ 1 x)) 1)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (+ (exp (/ 1 x)) 1) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (+ (exp (/ 1 x)) 1) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (+ (exp (/ 1 x)) 1)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (/ 1 x)) 1)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (+ (exp (/ 1 x)) 1) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (+ (exp (/ 1 x)) 1) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (+ (exp (/ 1 x)) 1) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (+ (exp (/ 1 x)) 1) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (+ (exp (/ 1 x)) 1))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (/ 1 x)) 1)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (+ (exp (/ 1 x)) 1) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (+ (exp (/ 1 x)) 1) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (+ (exp (/ 1 x)) 1) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (+ (exp (/ 1 x)) 1) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (+ (exp (/ 1 x)) 1) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (+ (exp (/ 1 x)) 1) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (+ (exp (/ 1 x)) 1)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (/ 1 x)) 1)))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (+ (exp (/ 1 x)) 1) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (+ (exp (/ 1 x)) 1) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (+ (exp (/ 1 x)) 1) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (+ (exp (/ 1 x)) 1) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (+ (exp (/ 1 x)) 1) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (+ (exp (/ 1 x)) 1) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (+ (exp (/ 1 x)) 1) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (+ (exp (/ 1 x)) 1) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (+ (exp (/ 1 x)) 1) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (+ (exp (/ 1 x)) 1) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (+ (exp (/ 1 x)) 1))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (/ 1 x)) 1)))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (+ (exp (/ 1 (/ 1 x))) 1) 1/3) into (pow (+ (exp x) 1) 1/3) * [misc]approximate: Taking taylor expansion of (cbrt (+ (exp (/ 1 (- x))) 1)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ (exp (/ 1 (- x))) 1)) in x * [misc]taylor: Rewrote expression to (pow (+ (exp (/ 1 (- x))) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (exp (/ 1 (- x))) 1)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (exp (/ 1 (- x))) 1))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (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 (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (exp (/ -1 x)) 1))) into (* 1/3 (log (+ (exp (/ -1 x)) 1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (exp (/ -1 x)) 1)))) into (pow (+ (exp (/ -1 x)) 1) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ (exp (/ 1 (- x))) 1)) in x * [misc]taylor: Rewrote expression to (pow (+ (exp (/ 1 (- x))) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (exp (/ 1 (- x))) 1)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (exp (/ 1 (- x))) 1))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (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 (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (exp (/ -1 x)) 1))) into (* 1/3 (log (+ (exp (/ -1 x)) 1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (exp (/ -1 x)) 1)))) into (pow (+ (exp (/ -1 x)) 1) 1/3) * [misc]backup-simplify: Simplify (pow (+ (exp (/ -1 x)) 1) 1/3) into (pow (+ (exp (/ -1 x)) 1) 1/3) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (+ (exp (/ -1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (/ -1 x)) 1)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (exp (/ -1 x)) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (+ (exp (/ -1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (/ -1 x)) 1)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (+ (exp (/ -1 x)) 1) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (+ (exp (/ -1 x)) 1) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (+ (exp (/ -1 x)) 1)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (/ -1 x)) 1)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (+ (exp (/ -1 x)) 1) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (+ (exp (/ -1 x)) 1) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (+ (exp (/ -1 x)) 1) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (+ (exp (/ -1 x)) 1) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (+ (exp (/ -1 x)) 1))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (/ -1 x)) 1)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (+ (exp (/ -1 x)) 1) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (+ (exp (/ -1 x)) 1) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (+ (exp (/ -1 x)) 1) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (+ (exp (/ -1 x)) 1) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (+ (exp (/ -1 x)) 1) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (+ (exp (/ -1 x)) 1) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (+ (exp (/ -1 x)) 1)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (/ -1 x)) 1)))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (+ (exp (/ -1 x)) 1) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (+ (exp (/ -1 x)) 1) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (+ (exp (/ -1 x)) 1) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (+ (exp (/ -1 x)) 1) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (+ (exp (/ -1 x)) 1) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (+ (exp (/ -1 x)) 1) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (+ (exp (/ -1 x)) 1) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (+ (exp (/ -1 x)) 1) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (+ (exp (/ -1 x)) 1) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (+ (exp (/ -1 x)) 1) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (+ (exp (/ -1 x)) 1))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (/ -1 x)) 1)))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (+ (exp (/ -1 (/ 1 (- x)))) 1) 1/3) into (pow (+ (exp x) 1) 1/3) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 1 1) * [misc]approximate: Taking taylor expansion of (cbrt (+ (exp x) 1)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ (exp x) 1)) in x * [misc]taylor: Rewrote expression to (pow (+ (exp x) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (exp x) 1)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (exp x) 1))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (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 (log 2) into (log 2) * [misc]backup-simplify: Simplify (* 1/3 (log 2)) into (* 1/3 (log 2)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log 2))) into (pow 2 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ (exp x) 1)) in x * [misc]taylor: Rewrote expression to (pow (+ (exp x) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (exp x) 1)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (exp x) 1))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (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 (log 2) into (log 2) * [misc]backup-simplify: Simplify (* 1/3 (log 2)) into (* 1/3 (log 2)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log 2))) into (pow 2 1/3) * [misc]backup-simplify: Simplify (pow 2 1/3) into (pow 2 1/3) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 2 1)))) 1) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1/3 1/2) (* 0 (log 2))) into 1/6 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log 2))) (+ (* (/ (pow 1/6 1) 1)))) into (* 1/6 (pow 2 1/3)) * [misc]backup-simplify: Simplify (* 1/6 (pow 2 1/3)) into (* 1/6 (pow 2 1/3)) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 1/2) 1)) (pow 2 1)))) 2) into 1/8 * [misc]backup-simplify: Simplify (+ (* 1/3 1/8) (+ (* 0 1/2) (* 0 (log 2)))) into 1/24 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log 2))) (+ (* (/ (pow 1/6 2) 2)) (* (/ (pow 1/24 1) 1)))) into (* 1/18 (pow 2 1/3)) * [misc]backup-simplify: Simplify (* 1/18 (pow 2 1/3)) into (* 1/18 (pow 2 1/3)) * [misc]backup-simplify: Simplify (+ (* (* 1/18 (pow 2 1/3)) (pow x 2)) (+ (* (* 1/6 (pow 2 1/3)) x) (pow 2 1/3))) into (+ (* 1/18 (* (pow x 2) (pow 2 1/3))) (+ (* 1/6 (* x (pow 2 1/3))) (pow 2 1/3))) * [misc]approximate: Taking taylor expansion of (cbrt (+ (exp (/ 1 x)) 1)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ (exp (/ 1 x)) 1)) in x * [misc]taylor: Rewrote expression to (pow (+ (exp (/ 1 x)) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (exp (/ 1 x)) 1)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (exp (/ 1 x)) 1))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (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 (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (exp (/ 1 x)) 1))) into (* 1/3 (log (+ (exp (/ 1 x)) 1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (exp (/ 1 x)) 1)))) into (pow (+ (exp (/ 1 x)) 1) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ (exp (/ 1 x)) 1)) in x * [misc]taylor: Rewrote expression to (pow (+ (exp (/ 1 x)) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (exp (/ 1 x)) 1)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (exp (/ 1 x)) 1))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (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 (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (exp (/ 1 x)) 1))) into (* 1/3 (log (+ (exp (/ 1 x)) 1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (exp (/ 1 x)) 1)))) into (pow (+ (exp (/ 1 x)) 1) 1/3) * [misc]backup-simplify: Simplify (pow (+ (exp (/ 1 x)) 1) 1/3) into (pow (+ (exp (/ 1 x)) 1) 1/3) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (+ (exp (/ 1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (/ 1 x)) 1)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (exp (/ 1 x)) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (+ (exp (/ 1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (/ 1 x)) 1)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (+ (exp (/ 1 x)) 1) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (+ (exp (/ 1 x)) 1) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (+ (exp (/ 1 x)) 1)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (/ 1 x)) 1)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (+ (exp (/ 1 x)) 1) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (+ (exp (/ 1 x)) 1) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (+ (exp (/ 1 x)) 1) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (+ (exp (/ 1 x)) 1) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (+ (exp (/ 1 x)) 1))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (/ 1 x)) 1)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (+ (exp (/ 1 x)) 1) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (+ (exp (/ 1 x)) 1) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (+ (exp (/ 1 x)) 1) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (+ (exp (/ 1 x)) 1) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (+ (exp (/ 1 x)) 1) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (+ (exp (/ 1 x)) 1) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (+ (exp (/ 1 x)) 1)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (/ 1 x)) 1)))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (+ (exp (/ 1 x)) 1) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (+ (exp (/ 1 x)) 1) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (+ (exp (/ 1 x)) 1) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (+ (exp (/ 1 x)) 1) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (+ (exp (/ 1 x)) 1) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (+ (exp (/ 1 x)) 1) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (+ (exp (/ 1 x)) 1) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (+ (exp (/ 1 x)) 1) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (+ (exp (/ 1 x)) 1) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (+ (exp (/ 1 x)) 1) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (+ (exp (/ 1 x)) 1))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (/ 1 x)) 1)))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (+ (exp (/ 1 (/ 1 x))) 1) 1/3) into (pow (+ (exp x) 1) 1/3) * [misc]approximate: Taking taylor expansion of (cbrt (+ (exp (/ 1 (- x))) 1)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ (exp (/ 1 (- x))) 1)) in x * [misc]taylor: Rewrote expression to (pow (+ (exp (/ 1 (- x))) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (exp (/ 1 (- x))) 1)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (exp (/ 1 (- x))) 1))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (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 (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (exp (/ -1 x)) 1))) into (* 1/3 (log (+ (exp (/ -1 x)) 1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (exp (/ -1 x)) 1)))) into (pow (+ (exp (/ -1 x)) 1) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ (exp (/ 1 (- x))) 1)) in x * [misc]taylor: Rewrote expression to (pow (+ (exp (/ 1 (- x))) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (exp (/ 1 (- x))) 1)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (exp (/ 1 (- x))) 1))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (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 (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (exp (/ -1 x)) 1))) into (* 1/3 (log (+ (exp (/ -1 x)) 1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (exp (/ -1 x)) 1)))) into (pow (+ (exp (/ -1 x)) 1) 1/3) * [misc]backup-simplify: Simplify (pow (+ (exp (/ -1 x)) 1) 1/3) into (pow (+ (exp (/ -1 x)) 1) 1/3) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (+ (exp (/ -1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (/ -1 x)) 1)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (exp (/ -1 x)) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (+ (exp (/ -1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (/ -1 x)) 1)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (+ (exp (/ -1 x)) 1) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (+ (exp (/ -1 x)) 1) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (+ (exp (/ -1 x)) 1)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (/ -1 x)) 1)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (+ (exp (/ -1 x)) 1) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (+ (exp (/ -1 x)) 1) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (+ (exp (/ -1 x)) 1) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (+ (exp (/ -1 x)) 1) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (+ (exp (/ -1 x)) 1))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (/ -1 x)) 1)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (+ (exp (/ -1 x)) 1) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (+ (exp (/ -1 x)) 1) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (+ (exp (/ -1 x)) 1) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (+ (exp (/ -1 x)) 1) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (+ (exp (/ -1 x)) 1) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (+ (exp (/ -1 x)) 1) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (+ (exp (/ -1 x)) 1)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (/ -1 x)) 1)))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (+ (exp (/ -1 x)) 1) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (+ (exp (/ -1 x)) 1) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (+ (exp (/ -1 x)) 1) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (+ (exp (/ -1 x)) 1) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (+ (exp (/ -1 x)) 1) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (+ (exp (/ -1 x)) 1) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (+ (exp (/ -1 x)) 1) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (+ (exp (/ -1 x)) 1) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (+ (exp (/ -1 x)) 1) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (+ (exp (/ -1 x)) 1) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (+ (exp (/ -1 x)) 1))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (/ -1 x)) 1)))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (+ (exp (/ -1 (/ 1 (- x)))) 1) 1/3) into (pow (+ (exp x) 1) 1/3) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (* (cbrt (+ (exp x) 1)) (cbrt (+ (exp x) 1))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (cbrt (+ (exp x) 1)) (cbrt (+ (exp x) 1))) in x * [misc]taylor: Taking taylor expansion of (cbrt (+ (exp x) 1)) in x * [misc]taylor: Rewrote expression to (pow (+ (exp x) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (exp x) 1)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (exp x) 1))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (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 (log 2) into (log 2) * [misc]backup-simplify: Simplify (* 1/3 (log 2)) into (* 1/3 (log 2)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log 2))) into (pow 2 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ (exp x) 1)) in x * [misc]taylor: Rewrote expression to (pow (+ (exp x) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (exp x) 1)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (exp x) 1))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (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 (log 2) into (log 2) * [misc]backup-simplify: Simplify (* 1/3 (log 2)) into (* 1/3 (log 2)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log 2))) into (pow 2 1/3) * [misc]taylor: Taking taylor expansion of (* (cbrt (+ (exp x) 1)) (cbrt (+ (exp x) 1))) in x * [misc]taylor: Taking taylor expansion of (cbrt (+ (exp x) 1)) in x * [misc]taylor: Rewrote expression to (pow (+ (exp x) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (exp x) 1)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (exp x) 1))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (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 (log 2) into (log 2) * [misc]backup-simplify: Simplify (* 1/3 (log 2)) into (* 1/3 (log 2)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log 2))) into (pow 2 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ (exp x) 1)) in x * [misc]taylor: Rewrote expression to (pow (+ (exp x) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (exp x) 1)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (exp x) 1))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (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 (log 2) into (log 2) * [misc]backup-simplify: Simplify (* 1/3 (log 2)) into (* 1/3 (log 2)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log 2))) into (pow 2 1/3) * [misc]backup-simplify: Simplify (* (pow 2 1/3) (pow 2 1/3)) into (pow (pow 2 2) 1/3) * [misc]backup-simplify: Simplify (pow (pow 2 2) 1/3) into (pow (pow 2 2) 1/3) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 2 1)))) 1) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1/3 1/2) (* 0 (log 2))) into 1/6 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log 2))) (+ (* (/ (pow 1/6 1) 1)))) into (* 1/6 (pow 2 1/3)) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 2 1)))) 1) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1/3 1/2) (* 0 (log 2))) into 1/6 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log 2))) (+ (* (/ (pow 1/6 1) 1)))) into (* 1/6 (pow 2 1/3)) * [misc]backup-simplify: Simplify (+ (* (pow 2 1/3) (* 1/6 (pow 2 1/3))) (* (* 1/6 (pow 2 1/3)) (pow 2 1/3))) into (* 1/3 (pow 4 1/3)) * [misc]backup-simplify: Simplify (* 1/3 (pow 4 1/3)) into (* 1/3 (pow 4 1/3)) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 1/2) 1)) (pow 2 1)))) 2) into 1/8 * [misc]backup-simplify: Simplify (+ (* 1/3 1/8) (+ (* 0 1/2) (* 0 (log 2)))) into 1/24 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log 2))) (+ (* (/ (pow 1/6 2) 2)) (* (/ (pow 1/24 1) 1)))) into (* 1/18 (pow 2 1/3)) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 1/2) 1)) (pow 2 1)))) 2) into 1/8 * [misc]backup-simplify: Simplify (+ (* 1/3 1/8) (+ (* 0 1/2) (* 0 (log 2)))) into 1/24 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log 2))) (+ (* (/ (pow 1/6 2) 2)) (* (/ (pow 1/24 1) 1)))) into (* 1/18 (pow 2 1/3)) * [misc]backup-simplify: Simplify (+ (* (pow 2 1/3) (* 1/18 (pow 2 1/3))) (+ (* (* 1/6 (pow 2 1/3)) (* 1/6 (pow 2 1/3))) (* (* 1/18 (pow 2 1/3)) (pow 2 1/3)))) into (* 5/36 (pow 4 1/3)) * [misc]backup-simplify: Simplify (* 5/36 (pow 4 1/3)) into (* 5/36 (pow 4 1/3)) * [misc]backup-simplify: Simplify (+ (* (* 5/36 (pow 4 1/3)) (pow x 2)) (+ (* (* 1/3 (pow 4 1/3)) x) (pow (pow 2 2) 1/3))) into (+ (* 1/3 (* x (pow 4 1/3))) (+ (* 5/36 (* (pow x 2) (pow 4 1/3))) (pow (pow 2 2) 1/3))) * [misc]approximate: Taking taylor expansion of (* (cbrt (+ (exp (/ 1 x)) 1)) (cbrt (+ (exp (/ 1 x)) 1))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (cbrt (+ (exp (/ 1 x)) 1)) (cbrt (+ (exp (/ 1 x)) 1))) in x * [misc]taylor: Taking taylor expansion of (cbrt (+ (exp (/ 1 x)) 1)) in x * [misc]taylor: Rewrote expression to (pow (+ (exp (/ 1 x)) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (exp (/ 1 x)) 1)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (exp (/ 1 x)) 1))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (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 (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (exp (/ 1 x)) 1))) into (* 1/3 (log (+ (exp (/ 1 x)) 1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (exp (/ 1 x)) 1)))) into (pow (+ (exp (/ 1 x)) 1) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ (exp (/ 1 x)) 1)) in x * [misc]taylor: Rewrote expression to (pow (+ (exp (/ 1 x)) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (exp (/ 1 x)) 1)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (exp (/ 1 x)) 1))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (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 (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (exp (/ 1 x)) 1))) into (* 1/3 (log (+ (exp (/ 1 x)) 1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (exp (/ 1 x)) 1)))) into (pow (+ (exp (/ 1 x)) 1) 1/3) * [misc]taylor: Taking taylor expansion of (* (cbrt (+ (exp (/ 1 x)) 1)) (cbrt (+ (exp (/ 1 x)) 1))) in x * [misc]taylor: Taking taylor expansion of (cbrt (+ (exp (/ 1 x)) 1)) in x * [misc]taylor: Rewrote expression to (pow (+ (exp (/ 1 x)) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (exp (/ 1 x)) 1)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (exp (/ 1 x)) 1))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (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 (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (exp (/ 1 x)) 1))) into (* 1/3 (log (+ (exp (/ 1 x)) 1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (exp (/ 1 x)) 1)))) into (pow (+ (exp (/ 1 x)) 1) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ (exp (/ 1 x)) 1)) in x * [misc]taylor: Rewrote expression to (pow (+ (exp (/ 1 x)) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (exp (/ 1 x)) 1)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (exp (/ 1 x)) 1))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (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 (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (exp (/ 1 x)) 1))) into (* 1/3 (log (+ (exp (/ 1 x)) 1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (exp (/ 1 x)) 1)))) into (pow (+ (exp (/ 1 x)) 1) 1/3) * [misc]backup-simplify: Simplify (* (pow (+ (exp (/ 1 x)) 1) 1/3) (pow (+ (exp (/ 1 x)) 1) 1/3)) into (pow (pow (+ (exp (/ 1 x)) 1) 2) 1/3) * [misc]backup-simplify: Simplify (pow (pow (+ (exp (/ 1 x)) 1) 2) 1/3) into (pow (pow (+ (exp (/ 1 x)) 1) 2) 1/3) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (+ (exp (/ 1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (/ 1 x)) 1)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (+ (exp (/ 1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (/ 1 x)) 1)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (+ (exp (/ 1 x)) 1) 1/3) 0) (* 0 (pow (+ (exp (/ 1 x)) 1) 1/3))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (exp (/ 1 x)) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (+ (exp (/ 1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (/ 1 x)) 1)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (exp (/ 1 x)) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (+ (exp (/ 1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (/ 1 x)) 1)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (+ (exp (/ 1 x)) 1) 1/3) 0) (+ (* 0 0) (* 0 (pow (+ (exp (/ 1 x)) 1) 1/3)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (+ (exp (/ 1 x)) 1) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (+ (exp (/ 1 x)) 1) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (+ (exp (/ 1 x)) 1)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (/ 1 x)) 1)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (+ (exp (/ 1 x)) 1) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (+ (exp (/ 1 x)) 1) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (+ (exp (/ 1 x)) 1)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (/ 1 x)) 1)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (+ (exp (/ 1 x)) 1) 1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (+ (exp (/ 1 x)) 1) 1/3))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (+ (exp (/ 1 x)) 1) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (+ (exp (/ 1 x)) 1) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (+ (exp (/ 1 x)) 1) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (+ (exp (/ 1 x)) 1) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (+ (exp (/ 1 x)) 1))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (/ 1 x)) 1)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (+ (exp (/ 1 x)) 1) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (+ (exp (/ 1 x)) 1) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (+ (exp (/ 1 x)) 1) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (+ (exp (/ 1 x)) 1) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (+ (exp (/ 1 x)) 1))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (/ 1 x)) 1)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (+ (exp (/ 1 x)) 1) 1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (+ (exp (/ 1 x)) 1) 1/3)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (+ (exp (/ 1 x)) 1) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (+ (exp (/ 1 x)) 1) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (+ (exp (/ 1 x)) 1) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (+ (exp (/ 1 x)) 1) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (+ (exp (/ 1 x)) 1) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (+ (exp (/ 1 x)) 1) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (+ (exp (/ 1 x)) 1)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (/ 1 x)) 1)))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (+ (exp (/ 1 x)) 1) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (+ (exp (/ 1 x)) 1) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (+ (exp (/ 1 x)) 1) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (+ (exp (/ 1 x)) 1) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (+ (exp (/ 1 x)) 1) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (+ (exp (/ 1 x)) 1) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (+ (exp (/ 1 x)) 1)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (/ 1 x)) 1)))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (+ (exp (/ 1 x)) 1) 1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (+ (exp (/ 1 x)) 1) 1/3))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (+ (exp (/ 1 x)) 1) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (+ (exp (/ 1 x)) 1) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (+ (exp (/ 1 x)) 1) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (+ (exp (/ 1 x)) 1) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (+ (exp (/ 1 x)) 1) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (+ (exp (/ 1 x)) 1) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (+ (exp (/ 1 x)) 1) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (+ (exp (/ 1 x)) 1) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (+ (exp (/ 1 x)) 1) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (+ (exp (/ 1 x)) 1) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (+ (exp (/ 1 x)) 1))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (/ 1 x)) 1)))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (+ (exp (/ 1 x)) 1) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (+ (exp (/ 1 x)) 1) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (+ (exp (/ 1 x)) 1) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (+ (exp (/ 1 x)) 1) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (+ (exp (/ 1 x)) 1) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (+ (exp (/ 1 x)) 1) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (+ (exp (/ 1 x)) 1) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (+ (exp (/ 1 x)) 1) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (+ (exp (/ 1 x)) 1) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (+ (exp (/ 1 x)) 1) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (+ (exp (/ 1 x)) 1))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (/ 1 x)) 1)))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (+ (exp (/ 1 x)) 1) 1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (+ (exp (/ 1 x)) 1) 1/3)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (pow (+ (exp (/ 1 (/ 1 x))) 1) 2) 1/3) into (pow (pow (+ (exp x) 1) 2) 1/3) * [misc]approximate: Taking taylor expansion of (* (cbrt (+ (exp (/ 1 (- x))) 1)) (cbrt (+ (exp (/ 1 (- x))) 1))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (cbrt (+ (exp (/ 1 (- x))) 1)) (cbrt (+ (exp (/ 1 (- x))) 1))) in x * [misc]taylor: Taking taylor expansion of (cbrt (+ (exp (/ 1 (- x))) 1)) in x * [misc]taylor: Rewrote expression to (pow (+ (exp (/ 1 (- x))) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (exp (/ 1 (- x))) 1)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (exp (/ 1 (- x))) 1))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (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 (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (exp (/ -1 x)) 1))) into (* 1/3 (log (+ (exp (/ -1 x)) 1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (exp (/ -1 x)) 1)))) into (pow (+ (exp (/ -1 x)) 1) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ (exp (/ 1 (- x))) 1)) in x * [misc]taylor: Rewrote expression to (pow (+ (exp (/ 1 (- x))) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (exp (/ 1 (- x))) 1)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (exp (/ 1 (- x))) 1))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (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 (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (exp (/ -1 x)) 1))) into (* 1/3 (log (+ (exp (/ -1 x)) 1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (exp (/ -1 x)) 1)))) into (pow (+ (exp (/ -1 x)) 1) 1/3) * [misc]taylor: Taking taylor expansion of (* (cbrt (+ (exp (/ 1 (- x))) 1)) (cbrt (+ (exp (/ 1 (- x))) 1))) in x * [misc]taylor: Taking taylor expansion of (cbrt (+ (exp (/ 1 (- x))) 1)) in x * [misc]taylor: Rewrote expression to (pow (+ (exp (/ 1 (- x))) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (exp (/ 1 (- x))) 1)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (exp (/ 1 (- x))) 1))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (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 (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (exp (/ -1 x)) 1))) into (* 1/3 (log (+ (exp (/ -1 x)) 1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (exp (/ -1 x)) 1)))) into (pow (+ (exp (/ -1 x)) 1) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ (exp (/ 1 (- x))) 1)) in x * [misc]taylor: Rewrote expression to (pow (+ (exp (/ 1 (- x))) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (exp (/ 1 (- x))) 1)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (exp (/ 1 (- x))) 1))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (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 (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (exp (/ -1 x)) 1))) into (* 1/3 (log (+ (exp (/ -1 x)) 1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (exp (/ -1 x)) 1)))) into (pow (+ (exp (/ -1 x)) 1) 1/3) * [misc]backup-simplify: Simplify (* (pow (+ (exp (/ -1 x)) 1) 1/3) (pow (+ (exp (/ -1 x)) 1) 1/3)) into (pow (pow (+ (exp (/ -1 x)) 1) 2) 1/3) * [misc]backup-simplify: Simplify (pow (pow (+ (exp (/ -1 x)) 1) 2) 1/3) into (pow (pow (+ (exp (/ -1 x)) 1) 2) 1/3) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (+ (exp (/ -1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (/ -1 x)) 1)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (+ (exp (/ -1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (/ -1 x)) 1)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (+ (exp (/ -1 x)) 1) 1/3) 0) (* 0 (pow (+ (exp (/ -1 x)) 1) 1/3))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (exp (/ -1 x)) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (+ (exp (/ -1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (/ -1 x)) 1)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (exp (/ -1 x)) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (+ (exp (/ -1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (/ -1 x)) 1)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (+ (exp (/ -1 x)) 1) 1/3) 0) (+ (* 0 0) (* 0 (pow (+ (exp (/ -1 x)) 1) 1/3)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (+ (exp (/ -1 x)) 1) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (+ (exp (/ -1 x)) 1) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (+ (exp (/ -1 x)) 1)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (/ -1 x)) 1)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (+ (exp (/ -1 x)) 1) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (+ (exp (/ -1 x)) 1) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (+ (exp (/ -1 x)) 1)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (/ -1 x)) 1)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (+ (exp (/ -1 x)) 1) 1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (+ (exp (/ -1 x)) 1) 1/3))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (+ (exp (/ -1 x)) 1) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (+ (exp (/ -1 x)) 1) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (+ (exp (/ -1 x)) 1) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (+ (exp (/ -1 x)) 1) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (+ (exp (/ -1 x)) 1))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (/ -1 x)) 1)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (+ (exp (/ -1 x)) 1) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (+ (exp (/ -1 x)) 1) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (+ (exp (/ -1 x)) 1) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (+ (exp (/ -1 x)) 1) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (+ (exp (/ -1 x)) 1))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (/ -1 x)) 1)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (+ (exp (/ -1 x)) 1) 1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (+ (exp (/ -1 x)) 1) 1/3)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (+ (exp (/ -1 x)) 1) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (+ (exp (/ -1 x)) 1) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (+ (exp (/ -1 x)) 1) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (+ (exp (/ -1 x)) 1) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (+ (exp (/ -1 x)) 1) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (+ (exp (/ -1 x)) 1) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (+ (exp (/ -1 x)) 1)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (/ -1 x)) 1)))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (+ (exp (/ -1 x)) 1) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (+ (exp (/ -1 x)) 1) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (+ (exp (/ -1 x)) 1) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (+ (exp (/ -1 x)) 1) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (+ (exp (/ -1 x)) 1) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (+ (exp (/ -1 x)) 1) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (+ (exp (/ -1 x)) 1)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (/ -1 x)) 1)))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (+ (exp (/ -1 x)) 1) 1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (+ (exp (/ -1 x)) 1) 1/3))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (+ (exp (/ -1 x)) 1) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (+ (exp (/ -1 x)) 1) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (+ (exp (/ -1 x)) 1) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (+ (exp (/ -1 x)) 1) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (+ (exp (/ -1 x)) 1) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (+ (exp (/ -1 x)) 1) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (+ (exp (/ -1 x)) 1) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (+ (exp (/ -1 x)) 1) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (+ (exp (/ -1 x)) 1) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (+ (exp (/ -1 x)) 1) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (+ (exp (/ -1 x)) 1))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (/ -1 x)) 1)))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (+ (exp (/ -1 x)) 1) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (+ (exp (/ -1 x)) 1) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (+ (exp (/ -1 x)) 1) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (+ (exp (/ -1 x)) 1) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (+ (exp (/ -1 x)) 1) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (+ (exp (/ -1 x)) 1) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (+ (exp (/ -1 x)) 1) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (+ (exp (/ -1 x)) 1) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (+ (exp (/ -1 x)) 1) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (+ (exp (/ -1 x)) 1) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (+ (exp (/ -1 x)) 1))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (/ -1 x)) 1)))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (+ (exp (/ -1 x)) 1) 1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (+ (exp (/ -1 x)) 1) 1/3)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (pow (+ (exp (/ -1 (/ 1 (- x)))) 1) 2) 1/3) into (pow (pow (+ (exp x) 1) 2) 1/3) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (cbrt (+ (exp x) 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (expm1 (cbrt (+ (exp x) 1))) * [exit]simplify: Simplified to (expm1 (cbrt (+ (exp x) 1))) * * * * [misc]progress: [ 2 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (cbrt (+ (exp x) 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (log1p (cbrt (+ (exp x) 1))) * [exit]simplify: Simplified to (log1p (cbrt (+ (exp x) 1))) * * * * [misc]progress: [ 3 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cbrt (+ (exp x) 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (log (cbrt (+ (exp x) 1))) * [exit]simplify: Simplified to (log (cbrt (+ (exp x) 1))) * * * * [misc]progress: [ 6 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cbrt (+ (exp x) 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (exp (cbrt (+ (exp x) 1))) * [exit]simplify: Simplified to (exp (cbrt (+ (exp x) 1))) * * * * [misc]progress: [ 7 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (+ (exp x) 1)) (cbrt (+ (exp x) 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (+ (exp x) 1)) (cbrt (+ (exp x) 1)))) * [exit]simplify: Simplified to (cbrt (* (cbrt (+ (exp x) 1)) (cbrt (+ (exp x) 1)))) * [enter]simplify: Simplifying (cbrt (cbrt (+ (exp x) 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (+ (exp x) 1))) * [exit]simplify: Simplified to (cbrt (cbrt (+ (exp x) 1))) * * * * [misc]progress: [ 8 / 95 ] 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))) * [exit]simplify: Simplified to (cbrt (sqrt (+ (exp x) 1))) * [enter]simplify: Simplifying (cbrt (sqrt (+ (exp x) 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ (exp x) 1))) * [exit]simplify: Simplified to (cbrt (sqrt (+ (exp x) 1))) * * * * [misc]progress: [ 9 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [exit]simplify: Simplified to (cbrt 1) * [enter]simplify: Simplifying (cbrt (+ (exp x) 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (cbrt (+ (exp x) 1)) * [exit]simplify: Simplified to (cbrt (+ (exp x) 1)) * * * * [misc]progress: [ 10 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (pow (exp x) 3) (pow 1 3))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * [exit]simplify: Simplified to (cbrt (fma (exp x) (* (exp x) (exp x)) 1)) * [exit]simplify: Simplified to (cbrt (fma (exp x) (* (exp x) (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 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (94 enodes) * * [misc]simplify: iters left: 1 (136 enodes) * [exit]simplify: Simplified to (cbrt (fma (expm1 x) (exp x) 1)) * [exit]simplify: Simplified to (cbrt (fma (expm1 x) (exp x) 1)) * * * * [misc]progress: [ 11 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (* (exp x) (exp x)) (* 1 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (cbrt (expm1 (+ x x))) * [exit]simplify: Simplified to (cbrt (expm1 (+ x x))) * [enter]simplify: Simplifying (cbrt (- (exp x) 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * [exit]simplify: Simplified to (cbrt (expm1 x)) * [exit]simplify: Simplified to (cbrt (expm1 x)) * * * * [misc]progress: [ 12 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cbrt (+ (exp x) 1))) (cbrt (cbrt (+ (exp x) 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (* (cbrt (cbrt (+ (exp x) 1))) (cbrt (cbrt (+ (exp x) 1)))) * [exit]simplify: Simplified to (* (cbrt (cbrt (+ (exp x) 1))) (cbrt (cbrt (+ (exp x) 1)))) * [enter]simplify: Simplifying (cbrt (cbrt (+ (exp x) 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (+ (exp x) 1))) * [exit]simplify: Simplified to (cbrt (cbrt (+ (exp x) 1))) * * * * [misc]progress: [ 13 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cbrt (+ (exp x) 1)) (cbrt (+ (exp x) 1))) (cbrt (+ (exp x) 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (+ (exp x) 1) * [exit]simplify: Simplified to (+ (exp x) 1) * * * * [misc]progress: [ 14 / 95 ] 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))) * [exit]simplify: Simplified to (sqrt (cbrt (+ (exp x) 1))) * [enter]simplify: Simplifying (sqrt (cbrt (+ (exp x) 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (+ (exp x) 1))) * [exit]simplify: Simplified to (sqrt (cbrt (+ (exp x) 1))) * * * * [misc]progress: [ 15 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (cbrt (+ (exp x) 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (expm1 (cbrt (+ (exp x) 1))) * [exit]simplify: Simplified to (expm1 (cbrt (+ (exp x) 1))) * * * * [misc]progress: [ 17 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (cbrt (+ (exp x) 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (log1p (cbrt (+ (exp x) 1))) * [exit]simplify: Simplified to (log1p (cbrt (+ (exp x) 1))) * * * * [misc]progress: [ 18 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cbrt (+ (exp x) 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (log (cbrt (+ (exp x) 1))) * [exit]simplify: Simplified to (log (cbrt (+ (exp x) 1))) * * * * [misc]progress: [ 21 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cbrt (+ (exp x) 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (exp (cbrt (+ (exp x) 1))) * [exit]simplify: Simplified to (exp (cbrt (+ (exp x) 1))) * * * * [misc]progress: [ 22 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (+ (exp x) 1)) (cbrt (+ (exp x) 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (+ (exp x) 1)) (cbrt (+ (exp x) 1)))) * [exit]simplify: Simplified to (cbrt (* (cbrt (+ (exp x) 1)) (cbrt (+ (exp x) 1)))) * [enter]simplify: Simplifying (cbrt (cbrt (+ (exp x) 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (+ (exp x) 1))) * [exit]simplify: Simplified to (cbrt (cbrt (+ (exp x) 1))) * * * * [misc]progress: [ 23 / 95 ] 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))) * [exit]simplify: Simplified to (cbrt (sqrt (+ (exp x) 1))) * [enter]simplify: Simplifying (cbrt (sqrt (+ (exp x) 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ (exp x) 1))) * [exit]simplify: Simplified to (cbrt (sqrt (+ (exp x) 1))) * * * * [misc]progress: [ 24 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [exit]simplify: Simplified to (cbrt 1) * [enter]simplify: Simplifying (cbrt (+ (exp x) 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (cbrt (+ (exp x) 1)) * [exit]simplify: Simplified to (cbrt (+ (exp x) 1)) * * * * [misc]progress: [ 25 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (pow (exp x) 3) (pow 1 3))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * [exit]simplify: Simplified to (cbrt (fma (exp x) (* (exp x) (exp x)) 1)) * [exit]simplify: Simplified to (cbrt (fma (exp x) (* (exp x) (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 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (94 enodes) * * [misc]simplify: iters left: 1 (136 enodes) * [exit]simplify: Simplified to (cbrt (fma (expm1 x) (exp x) 1)) * [exit]simplify: Simplified to (cbrt (fma (expm1 x) (exp x) 1)) * * * * [misc]progress: [ 26 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (* (exp x) (exp x)) (* 1 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (cbrt (expm1 (+ x x))) * [exit]simplify: Simplified to (cbrt (expm1 (+ x x))) * [enter]simplify: Simplifying (cbrt (- (exp x) 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * [exit]simplify: Simplified to (cbrt (expm1 x)) * [exit]simplify: Simplified to (cbrt (expm1 x)) * * * * [misc]progress: [ 27 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cbrt (+ (exp x) 1))) (cbrt (cbrt (+ (exp x) 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (* (cbrt (cbrt (+ (exp x) 1))) (cbrt (cbrt (+ (exp x) 1)))) * [exit]simplify: Simplified to (* (cbrt (cbrt (+ (exp x) 1))) (cbrt (cbrt (+ (exp x) 1)))) * [enter]simplify: Simplifying (cbrt (cbrt (+ (exp x) 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (+ (exp x) 1))) * [exit]simplify: Simplified to (cbrt (cbrt (+ (exp x) 1))) * * * * [misc]progress: [ 28 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cbrt (+ (exp x) 1)) (cbrt (+ (exp x) 1))) (cbrt (+ (exp x) 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (+ (exp x) 1) * [exit]simplify: Simplified to (+ (exp x) 1) * * * * [misc]progress: [ 29 / 95 ] 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))) * [exit]simplify: Simplified to (sqrt (cbrt (+ (exp x) 1))) * [enter]simplify: Simplifying (sqrt (cbrt (+ (exp x) 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (+ (exp x) 1))) * [exit]simplify: Simplified to (sqrt (cbrt (+ (exp x) 1))) * * * * [misc]progress: [ 30 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (cbrt (+ (exp x) 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (expm1 (cbrt (+ (exp x) 1))) * [exit]simplify: Simplified to (expm1 (cbrt (+ (exp x) 1))) * * * * [misc]progress: [ 32 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (cbrt (+ (exp x) 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (log1p (cbrt (+ (exp x) 1))) * [exit]simplify: Simplified to (log1p (cbrt (+ (exp x) 1))) * * * * [misc]progress: [ 33 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cbrt (+ (exp x) 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (log (cbrt (+ (exp x) 1))) * [exit]simplify: Simplified to (log (cbrt (+ (exp x) 1))) * * * * [misc]progress: [ 36 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cbrt (+ (exp x) 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (exp (cbrt (+ (exp x) 1))) * [exit]simplify: Simplified to (exp (cbrt (+ (exp x) 1))) * * * * [misc]progress: [ 37 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (+ (exp x) 1)) (cbrt (+ (exp x) 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (+ (exp x) 1)) (cbrt (+ (exp x) 1)))) * [exit]simplify: Simplified to (cbrt (* (cbrt (+ (exp x) 1)) (cbrt (+ (exp x) 1)))) * [enter]simplify: Simplifying (cbrt (cbrt (+ (exp x) 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (+ (exp x) 1))) * [exit]simplify: Simplified to (cbrt (cbrt (+ (exp x) 1))) * * * * [misc]progress: [ 38 / 95 ] 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))) * [exit]simplify: Simplified to (cbrt (sqrt (+ (exp x) 1))) * [enter]simplify: Simplifying (cbrt (sqrt (+ (exp x) 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ (exp x) 1))) * [exit]simplify: Simplified to (cbrt (sqrt (+ (exp x) 1))) * * * * [misc]progress: [ 39 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [exit]simplify: Simplified to (cbrt 1) * [enter]simplify: Simplifying (cbrt (+ (exp x) 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (cbrt (+ (exp x) 1)) * [exit]simplify: Simplified to (cbrt (+ (exp x) 1)) * * * * [misc]progress: [ 40 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (pow (exp x) 3) (pow 1 3))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * [exit]simplify: Simplified to (cbrt (fma (exp x) (* (exp x) (exp x)) 1)) * [exit]simplify: Simplified to (cbrt (fma (exp x) (* (exp x) (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 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (94 enodes) * * [misc]simplify: iters left: 1 (136 enodes) * [exit]simplify: Simplified to (cbrt (fma (expm1 x) (exp x) 1)) * [exit]simplify: Simplified to (cbrt (fma (expm1 x) (exp x) 1)) * * * * [misc]progress: [ 41 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (* (exp x) (exp x)) (* 1 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (cbrt (expm1 (+ x x))) * [exit]simplify: Simplified to (cbrt (expm1 (+ x x))) * [enter]simplify: Simplifying (cbrt (- (exp x) 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * [exit]simplify: Simplified to (cbrt (expm1 x)) * [exit]simplify: Simplified to (cbrt (expm1 x)) * * * * [misc]progress: [ 42 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cbrt (+ (exp x) 1))) (cbrt (cbrt (+ (exp x) 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (* (cbrt (cbrt (+ (exp x) 1))) (cbrt (cbrt (+ (exp x) 1)))) * [exit]simplify: Simplified to (* (cbrt (cbrt (+ (exp x) 1))) (cbrt (cbrt (+ (exp x) 1)))) * [enter]simplify: Simplifying (cbrt (cbrt (+ (exp x) 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (+ (exp x) 1))) * [exit]simplify: Simplified to (cbrt (cbrt (+ (exp x) 1))) * * * * [misc]progress: [ 43 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cbrt (+ (exp x) 1)) (cbrt (+ (exp x) 1))) (cbrt (+ (exp x) 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (+ (exp x) 1) * [exit]simplify: Simplified to (+ (exp x) 1) * * * * [misc]progress: [ 44 / 95 ] 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))) * [exit]simplify: Simplified to (sqrt (cbrt (+ (exp x) 1))) * [enter]simplify: Simplifying (sqrt (cbrt (+ (exp x) 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (+ (exp x) 1))) * [exit]simplify: Simplified to (sqrt (cbrt (+ (exp x) 1))) * * * * [misc]progress: [ 45 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (* (cbrt (+ (exp x) 1)) (cbrt (+ (exp x) 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (expm1 (* (cbrt (+ (exp x) 1)) (cbrt (+ (exp x) 1)))) * [exit]simplify: Simplified to (expm1 (* (cbrt (+ (exp x) 1)) (cbrt (+ (exp x) 1)))) * * * * [misc]progress: [ 47 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (* (cbrt (+ (exp x) 1)) (cbrt (+ (exp x) 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (log1p (* (cbrt (+ (exp x) 1)) (cbrt (+ (exp x) 1)))) * [exit]simplify: Simplified to (log1p (* (cbrt (+ (exp x) 1)) (cbrt (+ (exp x) 1)))) * * * * [misc]progress: [ 48 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1/3 1/3) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (+ 1/3 1/3) * [exit]simplify: Simplified to (+ 1/3 1/3) * * * * [misc]progress: [ 49 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (+ 1 1) * [exit]simplify: Simplified to (+ 1 1) * * * * [misc]progress: [ 50 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (exp x) 1) (+ (exp x) 1)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (122 enodes) * [exit]simplify: Simplified to (* (+ 1 (exp x)) (+ 1 (exp x))) * [exit]simplify: Simplified to (* (+ 1 (exp x)) (+ 1 (exp x))) * * * * [misc]progress: [ 51 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ (exp x) 1)) (cbrt (+ (exp x) 1))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (exp x) 1)) (cbrt (+ (exp x) 1))) * [exit]simplify: Simplified to (* (cbrt (+ (exp x) 1)) (cbrt (+ (exp x) 1))) * * * * [misc]progress: [ 52 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (+ 1 1) * [exit]simplify: Simplified to (+ 1 1) * * * * [misc]progress: [ 54 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (cbrt (+ (exp x) 1))) (log (cbrt (+ (exp x) 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (+ (log (cbrt (+ (exp x) 1))) (log (cbrt (+ (exp x) 1)))) * [exit]simplify: Simplified to (+ (log (cbrt (+ (exp x) 1))) (log (cbrt (+ (exp x) 1)))) * * * * [misc]progress: [ 56 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (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 (log (* (cbrt (+ (exp x) 1)) (cbrt (+ (exp x) 1)))) * [exit]simplify: Simplified to (log (* (cbrt (+ (exp x) 1)) (cbrt (+ (exp x) 1)))) * * * * [misc]progress: [ 57 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (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 (* (cbrt (+ (exp x) 1)) (cbrt (+ (exp x) 1)))) * [exit]simplify: Simplified to (exp (* (cbrt (+ (exp x) 1)) (cbrt (+ (exp x) 1)))) * * * * [misc]progress: [ 58 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (exp x) 1) (+ (exp x) 1)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (122 enodes) * [exit]simplify: Simplified to (* (+ 1 (exp x)) (+ 1 (exp x))) * [exit]simplify: Simplified to (* (+ 1 (exp x)) (+ 1 (exp x))) * * * * [misc]progress: [ 59 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (cbrt (+ (exp x) 1)) (cbrt (+ (exp x) 1)))) (cbrt (* (cbrt (+ (exp x) 1)) (cbrt (+ (exp x) 1))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (* (cbrt (* (cbrt (+ (exp x) 1)) (cbrt (+ (exp x) 1)))) (cbrt (* (cbrt (+ (exp x) 1)) (cbrt (+ (exp x) 1))))) * [exit]simplify: Simplified to (* (cbrt (* (cbrt (+ (exp x) 1)) (cbrt (+ (exp x) 1)))) (cbrt (* (cbrt (+ (exp x) 1)) (cbrt (+ (exp x) 1))))) * [enter]simplify: Simplifying (cbrt (* (cbrt (+ (exp x) 1)) (cbrt (+ (exp x) 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (+ (exp x) 1)) (cbrt (+ (exp x) 1)))) * [exit]simplify: Simplified to (cbrt (* (cbrt (+ (exp x) 1)) (cbrt (+ (exp x) 1)))) * * * * [misc]progress: [ 60 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (cbrt (+ (exp x) 1)) (cbrt (+ (exp x) 1))) (* (cbrt (+ (exp x) 1)) (cbrt (+ (exp x) 1)))) (* (cbrt (+ (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 (26 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (199 enodes) * [exit]simplify: Simplified to (* (+ (exp x) 1) (+ (exp x) 1)) * [exit]simplify: Simplified to (* (+ (exp x) 1) (+ (exp x) 1)) * * * * [misc]progress: [ 61 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (+ (exp x) 1)) (cbrt (+ (exp x) 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (fabs (cbrt (+ (exp x) 1))) * [exit]simplify: Simplified to (fabs (cbrt (+ (exp x) 1))) * [enter]simplify: Simplifying (sqrt (* (cbrt (+ (exp x) 1)) (cbrt (+ (exp x) 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (fabs (cbrt (+ (exp x) 1))) * [exit]simplify: Simplified to (fabs (cbrt (+ (exp x) 1))) * * * * [misc]progress: [ 62 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ (pow (exp x) 3) (pow 1 3))) (cbrt (+ (pow (exp x) 3) (pow 1 3)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (* (cbrt (fma (exp x) (exp (+ x x)) 1)) (cbrt (fma (exp x) (exp (+ x x)) 1))) * [exit]simplify: Simplified to (* (cbrt (fma (exp x) (exp (+ x x)) 1)) (cbrt (fma (exp x) (exp (+ x x)) 1))) * [enter]simplify: Simplifying (* (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 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (95 enodes) * * [misc]simplify: iters left: 1 (137 enodes) * [exit]simplify: Simplified to (* (cbrt (fma (exp x) (expm1 x) 1)) (cbrt (fma (exp x) (expm1 x) 1))) * [exit]simplify: Simplified to (* (cbrt (fma (exp x) (expm1 x) 1)) (cbrt (fma (exp x) (expm1 x) 1))) * * * * [misc]progress: [ 63 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ (pow (exp x) 3) (pow 1 3))) (cbrt (- (* (exp x) (exp x)) (* 1 1)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (100 enodes) * [exit]simplify: Simplified to (* (cbrt (expm1 (+ x x))) (cbrt (fma (exp x) (exp (+ x x)) 1))) * [exit]simplify: Simplified to (* (cbrt (expm1 (+ x x))) (cbrt (fma (exp x) (exp (+ x x)) 1))) * [enter]simplify: Simplifying (* (cbrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1)))) (cbrt (- (exp x) 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (103 enodes) * * [misc]simplify: iters left: 1 (160 enodes) * [exit]simplify: Simplified to (* (cbrt (fma (expm1 x) (exp x) 1)) (cbrt (expm1 x))) * [exit]simplify: Simplified to (* (cbrt (fma (expm1 x) (exp x) 1)) (cbrt (expm1 x))) * * * * [misc]progress: [ 64 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (* (exp x) (exp x)) (* 1 1))) (cbrt (+ (pow (exp x) 3) (pow 1 3)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (100 enodes) * [exit]simplify: Simplified to (* (cbrt (fma (exp (+ x x)) (exp x) 1)) (cbrt (expm1 (+ x x)))) * [exit]simplify: Simplified to (* (cbrt (fma (exp (+ x x)) (exp x) 1)) (cbrt (expm1 (+ x x)))) * [enter]simplify: Simplifying (* (cbrt (- (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 (29 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (104 enodes) * * [misc]simplify: iters left: 1 (160 enodes) * [exit]simplify: Simplified to (* (cbrt (expm1 x)) (cbrt (fma (expm1 x) (exp x) 1))) * [exit]simplify: Simplified to (* (cbrt (expm1 x)) (cbrt (fma (expm1 x) (exp x) 1))) * * * * [misc]progress: [ 65 / 95 ] 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 (16 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (84 enodes) * [exit]simplify: Simplified to (* (cbrt (expm1 (+ x x))) (cbrt (expm1 (+ x x)))) * [exit]simplify: Simplified to (* (cbrt (expm1 (+ x x))) (cbrt (expm1 (+ x x)))) * [enter]simplify: Simplifying (* (cbrt (- (exp x) 1)) (cbrt (- (exp 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 (* (cbrt (expm1 x)) (cbrt (expm1 x))) * [exit]simplify: Simplified to (* (cbrt (expm1 x)) (cbrt (expm1 x))) * * * * [misc]progress: [ 66 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 67 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ (exp x) 1)) (cbrt (* (cbrt (+ (exp x) 1)) (cbrt (+ (exp x) 1))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (* (cbrt (* (cbrt (+ (exp x) 1)) (cbrt (+ (exp x) 1)))) (cbrt (+ (exp x) 1))) * [exit]simplify: Simplified to (* (cbrt (* (cbrt (+ (exp x) 1)) (cbrt (+ (exp x) 1)))) (cbrt (+ (exp x) 1))) * * * * [misc]progress: [ 68 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ (exp x) 1)) (cbrt (sqrt (+ (exp x) 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ (exp x) 1))) (cbrt (+ (exp x) 1))) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ (exp x) 1))) (cbrt (+ (exp x) 1))) * * * * [misc]progress: [ 69 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ (exp x) 1)) (cbrt 1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (exp x) 1)) (cbrt 1)) * [exit]simplify: Simplified to (* (cbrt (+ (exp x) 1)) (cbrt 1)) * * * * [misc]progress: [ 70 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ (exp x) 1)) (* (cbrt (cbrt (+ (exp x) 1))) (cbrt (cbrt (+ (exp x) 1))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (* (cbrt (cbrt (+ (exp x) 1))) (* (cbrt (+ (exp x) 1)) (cbrt (cbrt (+ (exp x) 1))))) * [exit]simplify: Simplified to (* (cbrt (cbrt (+ (exp x) 1))) (* (cbrt (+ (exp x) 1)) (cbrt (cbrt (+ (exp x) 1))))) * * * * [misc]progress: [ 71 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ (exp x) 1)) (sqrt (cbrt (+ (exp x) 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (exp x) 1)) (sqrt (cbrt (+ (exp x) 1)))) * [exit]simplify: Simplified to (* (cbrt (+ (exp x) 1)) (sqrt (cbrt (+ (exp x) 1)))) * * * * [misc]progress: [ 72 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ (exp x) 1)) 1) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (cbrt (+ (exp x) 1)) * [exit]simplify: Simplified to (cbrt (+ (exp x) 1)) * * * * [misc]progress: [ 73 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cbrt (+ (exp x) 1))) (cbrt (+ (exp x) 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (exp x) 1)) (cbrt (cbrt (+ (exp x) 1)))) * [exit]simplify: Simplified to (* (cbrt (+ (exp x) 1)) (cbrt (cbrt (+ (exp x) 1)))) * * * * [misc]progress: [ 74 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (+ (exp x) 1))) (cbrt (+ (exp x) 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ (exp x) 1))) (cbrt (+ (exp x) 1))) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ (exp x) 1))) (cbrt (+ (exp x) 1))) * * * * [misc]progress: [ 75 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ (exp x) 1)) (cbrt (+ (exp x) 1))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (exp x) 1)) (cbrt (+ (exp x) 1))) * [exit]simplify: Simplified to (* (cbrt (+ (exp x) 1)) (cbrt (+ (exp x) 1))) * * * * [misc]progress: [ 76 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cbrt (+ (exp x) 1))) (cbrt (+ (exp x) 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (exp x) 1)) (cbrt (cbrt (+ (exp x) 1)))) * [exit]simplify: Simplified to (* (cbrt (+ (exp x) 1)) (cbrt (cbrt (+ (exp x) 1)))) * * * * [misc]progress: [ 77 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (cbrt (+ (exp x) 1))) (cbrt (+ (exp x) 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (exp x) 1)) (sqrt (cbrt (+ (exp x) 1)))) * [exit]simplify: Simplified to (* (cbrt (+ (exp x) 1)) (sqrt (cbrt (+ (exp x) 1)))) * * * * [misc]progress: [ 78 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ (exp x) 1)) (cbrt (+ (exp x) 1))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (exp x) 1)) (cbrt (+ (exp x) 1))) * [exit]simplify: Simplified to (* (cbrt (+ (exp x) 1)) (cbrt (+ (exp x) 1))) * * * * [misc]progress: [ 79 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ (exp x) 1)) (cbrt (+ (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 (25 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (exp x) 1)) (cbrt (fma (exp x) (exp (+ x x)) 1))) * [exit]simplify: Simplified to (* (cbrt (+ (exp x) 1)) (cbrt (fma (exp x) (exp (+ x x)) 1))) * * * * [misc]progress: [ 80 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ (exp x) 1)) (cbrt (- (* (exp x) (exp x)) (* 1 1)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (86 enodes) * [exit]simplify: Simplified to (* (cbrt (+ 1 (exp x))) (cbrt (expm1 (+ x x)))) * [exit]simplify: Simplified to (* (cbrt (+ 1 (exp x))) (cbrt (expm1 (+ x x)))) * * * * [misc]progress: [ 81 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ (pow (exp x) 3) (pow 1 3))) (cbrt (+ (exp x) 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (exp x) 1)) (cbrt (fma (exp x) (exp (+ x x)) 1))) * [exit]simplify: Simplified to (* (cbrt (+ (exp x) 1)) (cbrt (fma (exp x) (exp (+ x x)) 1))) * * * * [misc]progress: [ 82 / 95 ] 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 (20 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (86 enodes) * [exit]simplify: Simplified to (* (cbrt (expm1 (+ x x))) (cbrt (+ 1 (exp x)))) * [exit]simplify: Simplified to (* (cbrt (expm1 (+ x x))) (cbrt (+ 1 (exp x)))) * * * * [misc]progress: [ 83 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 84 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (* (cbrt (+ (exp x) 1)) (cbrt (+ (exp x) 1))) (+ (* 1/18 (* (pow x 2) (pow 2 1/3))) (+ (* 1/6 (* x (pow 2 1/3))) (pow 2 1/3))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (128 enodes) * * [misc]simplify: iters left: 3 (359 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (exp x) 1)) (fma (* (fma x 1/18 1/6) x) (cbrt 2) (cbrt 2))) (cbrt (+ (exp x) 1)))) * * * * [misc]progress: [ 85 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (* (cbrt (+ (exp x) 1)) (cbrt (+ (exp x) 1))) (pow (+ (exp x) 1) 1/3))) * * [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 (27 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (sqrt (+ (exp x) 1)) * * * * [misc]progress: [ 86 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (* (cbrt (+ (exp x) 1)) (cbrt (+ (exp x) 1))) (pow (+ (exp x) 1) 1/3))) * * [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 (27 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (sqrt (+ (exp x) 1)) * * * * [misc]progress: [ 87 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (* (cbrt (+ (exp x) 1)) (+ (* 1/18 (* (pow x 2) (pow 2 1/3))) (+ (* 1/6 (* x (pow 2 1/3))) (pow 2 1/3)))) (cbrt (+ (exp x) 1)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (121 enodes) * * [misc]simplify: iters left: 3 (359 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (+ (exp x) 1)) (* (fma (cbrt 2) (* x (fma x 1/18 1/6)) (cbrt 2)) (cbrt (+ (exp x) 1))))) * * * * [misc]progress: [ 88 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (* (cbrt (+ (exp x) 1)) (pow (+ (exp x) 1) 1/3)) (cbrt (+ (exp x) 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 (22 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (26 enodes) * [exit]simplify: Simplified to (sqrt (+ (exp x) 1)) * * * * [misc]progress: [ 89 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (* (cbrt (+ (exp x) 1)) (pow (+ (exp x) 1) 1/3)) (cbrt (+ (exp x) 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 (22 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (26 enodes) * [exit]simplify: Simplified to (sqrt (+ (exp x) 1)) * * * * [misc]progress: [ 90 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (* (+ (* 1/18 (* (pow x 2) (pow 2 1/3))) (+ (* 1/6 (* x (pow 2 1/3))) (pow 2 1/3))) (cbrt (+ (exp x) 1))) (cbrt (+ (exp x) 1)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (91 enodes) * * [misc]simplify: iters left: 3 (251 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (+ (exp x) 1)) (* (fma (cbrt 2) (* (fma 1/18 x 1/6) x) (cbrt 2)) (cbrt (+ (exp x) 1))))) * * * * [misc]progress: [ 91 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (* (pow (+ (exp x) 1) 1/3) (cbrt (+ (exp x) 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 (24 enodes) * * [misc]simplify: iters left: 1 (26 enodes) * [exit]simplify: Simplified to (sqrt (+ (exp x) 1)) * * * * [misc]progress: [ 92 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (* (pow (+ (exp x) 1) 1/3) (cbrt (+ (exp x) 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 (24 enodes) * * [misc]simplify: iters left: 1 (26 enodes) * [exit]simplify: Simplified to (sqrt (+ (exp x) 1)) * * * * [misc]progress: [ 93 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (+ (* 1/3 (* x (pow 4 1/3))) (+ (* 5/36 (* (pow x 2) (pow 4 1/3))) (pow (pow 2 2) 1/3))) (cbrt (+ (exp x) 1)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (88 enodes) * * [misc]simplify: iters left: 3 (182 enodes) * * [misc]simplify: iters left: 2 (351 enodes) * [exit]simplify: Simplified to (sqrt (* (fma (cbrt 4) (* x (fma x 5/36 1/3)) (cbrt (* 2 2))) (cbrt (+ (exp x) 1)))) * * * * [misc]progress: [ 94 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (pow (pow (+ (exp x) 1) 2) 1/3) (cbrt (+ (exp x) 1)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (72 enodes) * * [misc]simplify: iters left: 1 (133 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (exp x) 1) (+ (exp x) 1))) (cbrt (+ (exp x) 1)))) * * * * [misc]progress: [ 95 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (pow (pow (+ (exp x) 1) 2) 1/3) (cbrt (+ (exp x) 1)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (72 enodes) * * [misc]simplify: iters left: 1 (133 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (exp x) 1) (+ (exp x) 1))) (cbrt (+ (exp x) 1)))) * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime-changes: Finding splitpoints for: (# # #) * [misc]regimes: Found splitpoints: (#s(sp 0 (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) +nan.0)) , with alts (#) * * * * [misc]points: Sampling 8000 additional inputs, on iter 0 have 0 / 8000 * * * * [misc]points: Computing exacts on every 500 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 250 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 125 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 62 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 31 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 15 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 7 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 3 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 8000 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 1971 additional inputs, on iter 1 have 6029 / 8000 * * * * [misc]points: Computing exacts on every 123 of 1971 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 61 of 1971 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 30 of 1971 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 15 of 1971 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 7 of 1971 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 3 of 1971 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 1971 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 519 additional inputs, on iter 2 have 7481 / 8000 * * * * [misc]points: Computing exacts on every 32 of 519 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 16 of 519 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 8 of 519 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 4 of 519 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 519 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 519 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 116 additional inputs, on iter 3 have 7884 / 8000 * * * * [misc]points: Computing exacts on every 7 of 116 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 3 of 116 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 116 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 22 additional inputs, on iter 4 have 7978 / 8000 * * * * [misc]points: Computing exacts for 22 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 7 additional inputs, on iter 5 have 7993 / 8000 * * * * [misc]points: Computing exacts for 7 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 8000 points with exact outputs