* [misc]progress: [Phase 1 of 3] Setting up. * * * [misc]progress: [1/2] Preparing points * * * * [misc]points: Sampling 256 additional inputs, on iter 0 have 0 / 256 * * * * [misc]points: Computing exacts on every 16 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Setting MPFR precision to 832 * * * * [misc]points: Computing exacts on every 8 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Setting MPFR precision to 832 * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 4 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 2 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 256 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 73 additional inputs, on iter 1 have 183 / 256 * * * * [misc]points: Computing exacts on every 4 of 73 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 73 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 73 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 252 / 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 * * * * [misc]points: Sampling 4 additional inputs, on iter 4 have 255 / 256 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 259 points with exact outputs * * * [misc]progress: [2/2] Setting up program. * [misc]progress: [Phase 2 of 3] Improving. * [enter]simplify: Simplifying (/ (exp x) (- (exp x) 1)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (/ (exp x) (- (exp x) 1)) * * [misc]progress: iteration 1 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 2 ] rewriting at (2 2) * * * * [misc]progress: [ 2 / 2 ] rewriting at (2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 2 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (- (exp x) 1) in (x) around 0 * [misc]taylor: Taking taylor expansion of (- (exp x) 1) in x * [misc]taylor: Taking taylor expansion of (exp x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (exp x) 1) in x * [misc]taylor: Taking taylor expansion of (exp x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 1/6 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/6 0) into 1/6 * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]backup-simplify: Simplify (+ (* 1/6 (pow x 3)) (+ (* 1/2 (pow x 2)) (* 1 x))) into (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2)))) * [misc]approximate: Taking taylor expansion of (- (exp (/ 1 x)) 1) in (x) around 0 * [misc]taylor: Taking taylor expansion of (- (exp (/ 1 x)) 1) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (exp (/ 1 x)) 1) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ 1 x)) -1) into (- (exp (/ 1 x)) 1) * [misc]backup-simplify: Simplify (- (exp (/ 1 x)) 1) into (- (exp (/ 1 x)) 1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (exp (/ 1 (/ 1 x))) 1) into (- (exp x) 1) * [misc]approximate: Taking taylor expansion of (- (exp (/ 1 (- x))) 1) in (x) around 0 * [misc]taylor: Taking taylor expansion of (- (exp (/ 1 (- x))) 1) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (exp (/ 1 (- x))) 1) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ -1 x)) -1) into (- (exp (/ -1 x)) 1) * [misc]backup-simplify: Simplify (- (exp (/ -1 x)) 1) into (- (exp (/ -1 x)) 1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (exp (/ -1 (/ 1 (- x)))) 1) into (- (exp x) 1) * * * * [misc]progress: [ 2 / 2 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (/ (exp x) (- (exp x) 1)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (exp x) (- (exp x) 1)) in x * [misc]taylor: Taking taylor expansion of (exp x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (- (exp x) 1) in x * [misc]taylor: Taking taylor expansion of (exp x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (exp x) (- (exp x) 1)) in x * [misc]taylor: Taking taylor expansion of (exp x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (- (exp x) 1) in x * [misc]taylor: Taking taylor expansion of (exp x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* 1 (/ 1/2 1)))) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 1/6 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/6 0) into 1/6 * [misc]backup-simplify: Simplify (- (/ 1/2 1) (+ (* 1 (/ 1/6 1)) (* 1/2 (/ 1/2 1)))) into 1/12 * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]backup-simplify: Simplify (+ (* 1/12 x) (+ 1/2 (* 1 (/ 1 x)))) into (+ (* 1/12 x) (+ (/ 1 x) 1/2)) * [misc]approximate: Taking taylor expansion of (/ (exp (/ 1 x)) (- (exp (/ 1 x)) 1)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (exp (/ 1 x)) (- (exp (/ 1 x)) 1)) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]taylor: Taking taylor expansion of (- (exp (/ 1 x)) 1) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ 1 x)) -1) into (- (exp (/ 1 x)) 1) * [misc]backup-simplify: Simplify (/ (exp (/ 1 x)) (- (exp (/ 1 x)) 1)) into (/ (exp (/ 1 x)) (- (exp (/ 1 x)) 1)) * [misc]taylor: Taking taylor expansion of (/ (exp (/ 1 x)) (- (exp (/ 1 x)) 1)) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]taylor: Taking taylor expansion of (- (exp (/ 1 x)) 1) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ 1 x)) -1) into (- (exp (/ 1 x)) 1) * [misc]backup-simplify: Simplify (/ (exp (/ 1 x)) (- (exp (/ 1 x)) 1)) into (/ (exp (/ 1 x)) (- (exp (/ 1 x)) 1)) * [misc]backup-simplify: Simplify (/ (exp (/ 1 x)) (- (exp (/ 1 x)) 1)) into (/ (exp (/ 1 x)) (- (exp (/ 1 x)) 1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (/ 1 x)) 1)) (+ (* (/ (exp (/ 1 x)) (- (exp (/ 1 x)) 1)) (/ 0 (- (exp (/ 1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (/ 1 x)) 1)) (+ (* (/ (exp (/ 1 x)) (- (exp (/ 1 x)) 1)) (/ 0 (- (exp (/ 1 x)) 1))) (* 0 (/ 0 (- (exp (/ 1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (/ 1 x)) 1)) (+ (* (/ (exp (/ 1 x)) (- (exp (/ 1 x)) 1)) (/ 0 (- (exp (/ 1 x)) 1))) (* 0 (/ 0 (- (exp (/ 1 x)) 1))) (* 0 (/ 0 (- (exp (/ 1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (/ 1 x)) 1)) (+ (* (/ (exp (/ 1 x)) (- (exp (/ 1 x)) 1)) (/ 0 (- (exp (/ 1 x)) 1))) (* 0 (/ 0 (- (exp (/ 1 x)) 1))) (* 0 (/ 0 (- (exp (/ 1 x)) 1))) (* 0 (/ 0 (- (exp (/ 1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (/ 1 x)) 1)) (+ (* (/ (exp (/ 1 x)) (- (exp (/ 1 x)) 1)) (/ 0 (- (exp (/ 1 x)) 1))) (* 0 (/ 0 (- (exp (/ 1 x)) 1))) (* 0 (/ 0 (- (exp (/ 1 x)) 1))) (* 0 (/ 0 (- (exp (/ 1 x)) 1))) (* 0 (/ 0 (- (exp (/ 1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (/ 1 x)) 1)) (+ (* (/ (exp (/ 1 x)) (- (exp (/ 1 x)) 1)) (/ 0 (- (exp (/ 1 x)) 1))) (* 0 (/ 0 (- (exp (/ 1 x)) 1))) (* 0 (/ 0 (- (exp (/ 1 x)) 1))) (* 0 (/ 0 (- (exp (/ 1 x)) 1))) (* 0 (/ 0 (- (exp (/ 1 x)) 1))) (* 0 (/ 0 (- (exp (/ 1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (exp (/ 1 (/ 1 x))) (- (exp (/ 1 (/ 1 x))) 1)) into (/ (exp x) (- (exp x) 1)) * [misc]approximate: Taking taylor expansion of (/ (exp (/ 1 (- x))) (- (exp (/ 1 (- x))) 1)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (exp (/ 1 (- x))) (- (exp (/ 1 (- x))) 1)) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]taylor: Taking taylor expansion of (- (exp (/ 1 (- x))) 1) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ -1 x)) -1) into (- (exp (/ -1 x)) 1) * [misc]backup-simplify: Simplify (/ (exp (/ -1 x)) (- (exp (/ -1 x)) 1)) into (/ (exp (/ -1 x)) (- (exp (/ -1 x)) 1)) * [misc]taylor: Taking taylor expansion of (/ (exp (/ 1 (- x))) (- (exp (/ 1 (- x))) 1)) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]taylor: Taking taylor expansion of (- (exp (/ 1 (- x))) 1) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ -1 x)) -1) into (- (exp (/ -1 x)) 1) * [misc]backup-simplify: Simplify (/ (exp (/ -1 x)) (- (exp (/ -1 x)) 1)) into (/ (exp (/ -1 x)) (- (exp (/ -1 x)) 1)) * [misc]backup-simplify: Simplify (/ (exp (/ -1 x)) (- (exp (/ -1 x)) 1)) into (/ (exp (/ -1 x)) (- (exp (/ -1 x)) 1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (/ -1 x)) 1)) (+ (* (/ (exp (/ -1 x)) (- (exp (/ -1 x)) 1)) (/ 0 (- (exp (/ -1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (/ -1 x)) 1)) (+ (* (/ (exp (/ -1 x)) (- (exp (/ -1 x)) 1)) (/ 0 (- (exp (/ -1 x)) 1))) (* 0 (/ 0 (- (exp (/ -1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (/ -1 x)) 1)) (+ (* (/ (exp (/ -1 x)) (- (exp (/ -1 x)) 1)) (/ 0 (- (exp (/ -1 x)) 1))) (* 0 (/ 0 (- (exp (/ -1 x)) 1))) (* 0 (/ 0 (- (exp (/ -1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (/ -1 x)) 1)) (+ (* (/ (exp (/ -1 x)) (- (exp (/ -1 x)) 1)) (/ 0 (- (exp (/ -1 x)) 1))) (* 0 (/ 0 (- (exp (/ -1 x)) 1))) (* 0 (/ 0 (- (exp (/ -1 x)) 1))) (* 0 (/ 0 (- (exp (/ -1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (/ -1 x)) 1)) (+ (* (/ (exp (/ -1 x)) (- (exp (/ -1 x)) 1)) (/ 0 (- (exp (/ -1 x)) 1))) (* 0 (/ 0 (- (exp (/ -1 x)) 1))) (* 0 (/ 0 (- (exp (/ -1 x)) 1))) (* 0 (/ 0 (- (exp (/ -1 x)) 1))) (* 0 (/ 0 (- (exp (/ -1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (/ -1 x)) 1)) (+ (* (/ (exp (/ -1 x)) (- (exp (/ -1 x)) 1)) (/ 0 (- (exp (/ -1 x)) 1))) (* 0 (/ 0 (- (exp (/ -1 x)) 1))) (* 0 (/ 0 (- (exp (/ -1 x)) 1))) (* 0 (/ 0 (- (exp (/ -1 x)) 1))) (* 0 (/ 0 (- (exp (/ -1 x)) 1))) (* 0 (/ 0 (- (exp (/ -1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (exp (/ -1 (/ 1 (- x)))) (- (exp (/ -1 (/ 1 (- x)))) 1)) into (/ (exp x) (- (exp x) 1)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 51 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 51 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 51 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 51 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 51 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 51 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 51 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 51 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 51 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 51 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (exp x)) 1) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (+ 1 (sqrt (exp x))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (/ (exp x) (* (+ 1 (sqrt (exp x))) (- (sqrt (exp x)) 1)))) * * * * [misc]progress: [ 12 / 51 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 51 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (- x (log (- (exp x) 1))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (- x (log (- (exp x) 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (exp (- x (log (- (exp x) 1))))) * * * * [misc]progress: [ 15 / 51 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 51 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (exp x) (exp x)) (exp x)) (* (* (- (exp x) 1) (- (exp x) 1)) (- (exp x) 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (177 enodes) * * [misc]simplify: iters left: 2 (446 enodes) * [exit]simplify: Simplified to (pow (/ (exp x) (- (exp x) 1)) 3) * [misc]simplify: Simplified (2 1) to (λ (x) (cbrt (pow (/ (exp x) (- (exp x) 1)) 3))) * * * * [misc]progress: [ 18 / 51 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 51 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 51 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 51 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (exp x)) (cbrt (exp x))) (* (cbrt (- (exp x) 1)) (cbrt (- (exp x) 1)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (exp x)) (cbrt (- (exp x) 1))) (/ (cbrt (exp x)) (cbrt (- (exp x) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (cbrt (exp x)) (cbrt (- (exp x) 1))) (/ (cbrt (exp x)) (cbrt (- (exp x) 1)))) (/ (cbrt (exp x)) (cbrt (- (exp x) 1))))) * [enter]simplify: Simplifying (/ (cbrt (exp x)) (cbrt (- (exp x) 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (/ (cbrt (exp x)) (cbrt (- (exp x) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (cbrt (exp x)) (cbrt (exp x))) (* (cbrt (- (exp x) 1)) (cbrt (- (exp x) 1)))) (/ (cbrt (exp x)) (cbrt (- (exp x) 1))))) * * * * [misc]progress: [ 23 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (- (exp x) 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (- (exp x) 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (- (exp x) 1))) (/ (cbrt (exp x)) (sqrt (- (exp x) 1))))) * [enter]simplify: Simplifying (/ (cbrt (exp x)) (sqrt (- (exp x) 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (/ (cbrt (exp x)) (sqrt (- (exp x) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (- (exp x) 1))) (/ (cbrt (exp x)) (sqrt (- (exp x) 1))))) * * * * [misc]progress: [ 24 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (exp x)) (cbrt (exp x))) 1) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * [exit]simplify: Simplified to (* (cbrt (exp x)) (cbrt (exp x))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (cbrt (exp x)) (cbrt (exp x))) (/ (cbrt (exp x)) (- (exp x) 1)))) * [enter]simplify: Simplifying (/ (cbrt (exp x)) (- (exp x) 1)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (/ (cbrt (exp x)) (- (exp x) 1)) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (cbrt (exp x)) (cbrt (exp x))) (/ (cbrt (exp x)) (- (exp x) 1)))) * * * * [misc]progress: [ 25 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (exp x)) (cbrt (exp x))) (+ (sqrt (exp x)) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (exp x)) (cbrt (exp x))) (+ 1 (sqrt (exp x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (cbrt (exp x)) (cbrt (exp x))) (+ 1 (sqrt (exp x)))) (/ (cbrt (exp x)) (- (sqrt (exp x)) 1)))) * [enter]simplify: Simplifying (/ (cbrt (exp x)) (- (sqrt (exp x)) 1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (/ (cbrt (exp x)) (- (sqrt (exp x)) 1)) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (cbrt (exp x)) (cbrt (exp x))) (+ (sqrt (exp x)) 1)) (/ (cbrt (exp x)) (- (sqrt (exp x)) 1)))) * * * * [misc]progress: [ 26 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (exp x)) (* (cbrt (- (exp x) 1)) (cbrt (- (exp x) 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (exp x)) (cbrt (- (exp x) 1))) (cbrt (- (exp x) 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (sqrt (exp x)) (cbrt (- (exp x) 1))) (cbrt (- (exp x) 1))) (/ (sqrt (exp x)) (cbrt (- (exp x) 1))))) * [enter]simplify: Simplifying (/ (sqrt (exp x)) (cbrt (- (exp x) 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (/ (sqrt (exp x)) (cbrt (- (exp x) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (exp x)) (* (cbrt (- (exp x) 1)) (cbrt (- (exp x) 1)))) (/ (sqrt (exp x)) (cbrt (- (exp x) 1))))) * * * * [misc]progress: [ 27 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (exp x)) (sqrt (- (exp x) 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (/ (sqrt (exp x)) (sqrt (- (exp x) 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (exp x)) (sqrt (- (exp x) 1))) (/ (sqrt (exp x)) (sqrt (- (exp x) 1))))) * [enter]simplify: Simplifying (/ (sqrt (exp x)) (sqrt (- (exp x) 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (/ (sqrt (exp x)) (sqrt (- (exp x) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (exp x)) (sqrt (- (exp x) 1))) (/ (sqrt (exp x)) (sqrt (- (exp x) 1))))) * * * * [misc]progress: [ 28 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (exp x)) 1) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (sqrt (exp x)) * [misc]simplify: Simplified (2 1) to (λ (x) (* (sqrt (exp x)) (/ (sqrt (exp x)) (- (exp x) 1)))) * [enter]simplify: Simplifying (/ (sqrt (exp x)) (- (exp x) 1)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (/ (sqrt (exp x)) (- (exp x) 1)) * [misc]simplify: Simplified (2 2) to (λ (x) (* (sqrt (exp x)) (/ (sqrt (exp x)) (- (exp x) 1)))) * * * * [misc]progress: [ 29 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (exp x)) (+ (sqrt (exp x)) 1)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ (sqrt (exp x)) (+ 1 (sqrt (exp x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (exp x)) (+ 1 (sqrt (exp x)))) (/ (sqrt (exp x)) (- (sqrt (exp x)) 1)))) * [enter]simplify: Simplifying (/ (sqrt (exp x)) (- (sqrt (exp x)) 1)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (/ (sqrt (exp x)) (- (sqrt (exp x)) 1)) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (exp x)) (+ (sqrt (exp x)) 1)) (/ (sqrt (exp x)) (- (sqrt (exp x)) 1)))) * * * * [misc]progress: [ 30 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (- (exp x) 1)) (cbrt (- (exp x) 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (- (exp x) 1))) (cbrt (- (exp x) 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ 1 (cbrt (- (exp x) 1))) (cbrt (- (exp x) 1))) (/ (exp x) (cbrt (- (exp x) 1))))) * [enter]simplify: Simplifying (/ (exp x) (cbrt (- (exp x) 1))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (/ (exp x) (cbrt (- (exp x) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ 1 (* (cbrt (- (exp x) 1)) (cbrt (- (exp x) 1)))) (/ (exp x) (cbrt (- (exp x) 1))))) * * * * [misc]progress: [ 31 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (- (exp x) 1))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (- (exp x) 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ 1 (sqrt (- (exp x) 1))) (/ (exp x) (sqrt (- (exp x) 1))))) * [enter]simplify: Simplifying (/ (exp x) (sqrt (- (exp x) 1))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (/ (exp x) (sqrt (- (exp x) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ 1 (sqrt (- (exp x) 1))) (/ (exp x) (sqrt (- (exp x) 1))))) * * * * [misc]progress: [ 32 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (x) (* 1 (/ (exp x) (- (exp x) 1)))) * [enter]simplify: Simplifying (/ (exp x) (- (exp x) 1)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (/ (exp x) (- (exp x) 1)) * [misc]simplify: Simplified (2 2) to (λ (x) (* 1 (/ (exp x) (- (exp x) 1)))) * * * * [misc]progress: [ 33 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (+ (sqrt (exp x)) 1)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ 1 (+ (sqrt (exp x)) 1)) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ 1 (+ (sqrt (exp x)) 1)) (/ (exp x) (- (sqrt (exp x)) 1)))) * [enter]simplify: Simplifying (/ (exp x) (- (sqrt (exp x)) 1)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (/ (exp x) (- (sqrt (exp x)) 1)) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ 1 (+ (sqrt (exp x)) 1)) (/ (exp x) (- (sqrt (exp x)) 1)))) * * * * [misc]progress: [ 34 / 51 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 51 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 51 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (exp x) 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * [exit]simplify: Simplified to (cbrt (- (exp x) 1)) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (/ (exp x) (* (cbrt (- (exp x) 1)) (cbrt (- (exp x) 1)))) (cbrt (- (exp x) 1)))) * * * * [misc]progress: [ 38 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (exp x) 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * [exit]simplify: Simplified to (sqrt (- (exp x) 1)) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (/ (exp x) (sqrt (- (exp x) 1))) (sqrt (- (exp x) 1)))) * * * * [misc]progress: [ 39 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (- (exp x) 1) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (9 enodes) * [exit]simplify: Simplified to (- (exp x) 1) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (/ (exp x) 1) (- (exp x) 1))) * * * * [misc]progress: [ 40 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqrt (exp x)) 1) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * [exit]simplify: Simplified to (- (sqrt (exp x)) 1) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (/ (exp x) (+ (sqrt (exp x)) 1)) (- (sqrt (exp x)) 1))) * * * * [misc]progress: [ 41 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (exp x)) (cbrt (exp x))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (* (cbrt (exp x)) (cbrt (exp x))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (* (cbrt (exp x)) (cbrt (exp x))) (/ (- (exp x) 1) (cbrt (exp x))))) * * * * [misc]progress: [ 42 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (exp x)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (exp x)) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (sqrt (exp x)) (/ (- (exp x) 1) (sqrt (exp x))))) * * * * [misc]progress: [ 43 / 51 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (exp x) (exp x)) (+ (* 1 1) (* (exp x) 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (67 enodes) * [exit]simplify: Simplified to (+ (exp (+ x x)) (+ 1 (exp x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (exp x) (- (pow (exp x) 3) (pow 1 3))) (+ (exp (+ x x)) (+ 1 (exp x))))) * * * * [misc]progress: [ 45 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (exp x) 1) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (+ (exp x) 1) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (exp x) (- (* (exp x) (exp x)) (* 1 1))) (+ (exp x) 1))) * * * * [misc]progress: [ 46 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (113 enodes) * * [misc]simplify: iters left: 1 (182 enodes) * [exit]simplify: Simplified to (+ x (* (+ (* x 1/6) 1/2) (* x x))) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (exp x) (+ x (* (+ (* x 1/6) 1/2) (* x x))))) * * * * [misc]progress: [ 47 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (- (exp x) 1) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (9 enodes) * [exit]simplify: Simplified to (- (exp x) 1) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (exp x) (- (exp x) 1))) * * * * [misc]progress: [ 48 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (- (exp x) 1) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (9 enodes) * [exit]simplify: Simplified to (- (exp x) 1) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (exp x) (- (exp x) 1))) * * * * [misc]progress: [ 49 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/12 x) (+ (/ 1 x) 1/2)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (+ (+ 1/2 (* 1/12 x)) (/ 1 x)) * [misc]simplify: Simplified (2) to (λ (x) (+ (+ 1/2 (* 1/12 x)) (/ 1 x))) * * * * [misc]progress: [ 50 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp x) (- (exp x) 1)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (/ (exp x) (- (exp x) 1)) * [misc]simplify: Simplified (2) to (λ (x) (/ (exp x) (- (exp x) 1))) * * * * [misc]progress: [ 51 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp x) (- (exp x) 1)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (/ (exp x) (- (exp x) 1)) * [misc]simplify: Simplified (2) to (λ (x) (/ (exp x) (- (exp x) 1))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 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 (* 1/12 x) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* 1/12 x) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 1/12 x) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/12 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 1) (* 0 0)) into 1/12 * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/12 x) into (* 1/12 x) * [misc]approximate: Taking taylor expansion of (* 1/12 (/ 1 x)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* 1/12 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 1/12 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1/12 1) into 1/12 * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/12 (/ 1 (/ 1 x))) into (* 1/12 x) * [misc]approximate: Taking taylor expansion of (* 1/12 (/ 1 (- x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* 1/12 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* 1/12 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* 1/12 -1) into -1/12 * [misc]backup-simplify: Simplify -1/12 into -1/12 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -1/12 (/ 1 (/ 1 (- x)))) into (* 1/12 x) * * * * [misc]progress: [ 2 / 2 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (+ (* 1/12 x) (+ (/ 1 x) 1/2)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (+ (* 1/12 x) (+ (/ 1 x) 1/2)) in x * [misc]taylor: Taking taylor expansion of (* 1/12 x) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) 1/2) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ (* 1/12 x) (+ (/ 1 x) 1/2)) in x * [misc]taylor: Taking taylor expansion of (* 1/12 x) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) 1/2) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/12 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ (* 1/12 1) (* 0 0)) into 1/12 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 1/12 0) into 1/12 * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]backup-simplify: Simplify (+ (* 1/12 x) (+ 1/2 (* 1 (/ 1 x)))) into (+ (* 1/12 x) (+ (/ 1 x) 1/2)) * [misc]approximate: Taking taylor expansion of (+ (* 1/12 (/ 1 x)) (+ (/ 1 (/ 1 x)) 1/2)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (+ (* 1/12 (/ 1 x)) (+ (/ 1 (/ 1 x)) 1/2)) in x * [misc]taylor: Taking taylor expansion of (* 1/12 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (/ 1 x)) 1/2) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ (* 1/12 (/ 1 x)) (+ (/ 1 (/ 1 x)) 1/2)) in x * [misc]taylor: Taking taylor expansion of (* 1/12 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (/ 1 x)) 1/2) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* 1/12 1) into 1/12 * [misc]backup-simplify: Simplify (+ 1/12 0) into 1/12 * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ 1 x)) (+ 1/2 (* 1/12 (/ 1 (/ 1 x))))) into (+ (* 1/12 x) (+ (/ 1 x) 1/2)) * [misc]approximate: Taking taylor expansion of (+ (* 1/12 (/ 1 (- x))) (+ (/ 1 (/ 1 (- x))) 1/2)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (+ (* 1/12 (/ 1 (- x))) (+ (/ 1 (/ 1 (- x))) 1/2)) in x * [misc]taylor: Taking taylor expansion of (* 1/12 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (/ 1 (- x))) 1/2) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ (* 1/12 (/ 1 (- x))) (+ (/ 1 (/ 1 (- x))) 1/2)) in x * [misc]taylor: Taking taylor expansion of (* 1/12 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (/ 1 (- x))) 1/2) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* 1/12 -1) into -1/12 * [misc]backup-simplify: Simplify (+ -1/12 0) into -1/12 * [misc]backup-simplify: Simplify -1/12 into -1/12 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (+ (* -1 (/ 1 (- x))) (+ 1/2 (* -1/12 (/ 1 (/ 1 (- x)))))) into (+ (* 1/12 x) (+ (/ 1 x) 1/2)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 26 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 26 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 26 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 26 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 26 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 26 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 26 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 26 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 26 ] simplifiying candidate # * [enter]simplify: Simplifying (* (exp (* 1/12 x)) (exp (+ (/ 1 x) 1/2))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * [exit]simplify: Simplified to (exp (+ (+ (/ 1 x) (* 1/12 x)) 1/2)) * [misc]simplify: Simplified (2 1) to (λ (x) (log (exp (+ (+ (/ 1 x) (* 1/12 x)) 1/2)))) * * * * [misc]progress: [ 10 / 26 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 26 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 26 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 26 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 26 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 26 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 26 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 26 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 26 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 26 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 26 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 26 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1/12 x) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (* 1/12 x) * [misc]simplify: Simplified (2 1) to (λ (x) (+ (* 1/12 x) (+ (/ 1 x) 1/2))) * * * * [misc]progress: [ 22 / 26 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1/12 x) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (* 1/12 x) * [misc]simplify: Simplified (2 1) to (λ (x) (+ (* 1/12 x) (+ (/ 1 x) 1/2))) * * * * [misc]progress: [ 23 / 26 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1/12 x) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (* 1/12 x) * [misc]simplify: Simplified (2 1) to (λ (x) (+ (* 1/12 x) (+ (/ 1 x) 1/2))) * * * * [misc]progress: [ 24 / 26 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/12 x) (+ (/ 1 x) 1/2)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (+ (+ 1/2 (* 1/12 x)) (/ 1 x)) * [misc]simplify: Simplified (2) to (λ (x) (+ (+ 1/2 (* 1/12 x)) (/ 1 x))) * * * * [misc]progress: [ 25 / 26 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/12 x) (+ (/ 1 x) 1/2)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (+ (+ 1/2 (* 1/12 x)) (/ 1 x)) * [misc]simplify: Simplified (2) to (λ (x) (+ (+ 1/2 (* 1/12 x)) (/ 1 x))) * * * * [misc]progress: [ 26 / 26 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/12 x) (+ (/ 1 x) 1/2)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (+ (+ 1/2 (* 1/12 x)) (/ 1 x)) * [misc]simplify: Simplified (2) to (λ (x) (+ (+ 1/2 (* 1/12 x)) (/ 1 x))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 3 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 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 (* 1/12 x)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (* 1/12 x)) in x * [misc]taylor: Rewrote expression to (pow (* 1/12 x) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* 1/12 x)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* 1/12 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 (* 1/12 x)) in x * [misc]taylor: Taking taylor expansion of (* 1/12 x) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/12 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 1) (* 0 0)) into 1/12 * [misc]backup-simplify: Simplify (log 1/12) into (log 1/12) * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log 1/12)) into (+ (log 1/12) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log 1/12) (log x))) into (* 1/3 (+ (log 1/12) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log 1/12) (log x)))) into (exp (* 1/3 (+ (log 1/12) (log x)))) * [misc]taylor: Taking taylor expansion of (cbrt (* 1/12 x)) in x * [misc]taylor: Rewrote expression to (pow (* 1/12 x) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* 1/12 x)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* 1/12 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 (* 1/12 x)) in x * [misc]taylor: Taking taylor expansion of (* 1/12 x) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/12 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 1) (* 0 0)) into 1/12 * [misc]backup-simplify: Simplify (log 1/12) into (log 1/12) * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log 1/12)) into (+ (log 1/12) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log 1/12) (log x))) into (* 1/3 (+ (log 1/12) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log 1/12) (log x)))) into (exp (* 1/3 (+ (log 1/12) (log x)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log 1/12) (log x)))) into (exp (* 1/3 (+ (log 1/12) (log x)))) * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/12 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log 1/12)) into (+ (log 1/12) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log 1/12) (log x)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log 1/12) (log x)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1/12 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1/12 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log 1/12)) into (+ (log 1/12) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (+ (log 1/12) (log x))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log 1/12) (log x)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1/12 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1/12 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1/12 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log 1/12)) into (+ (log 1/12) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log 1/12) (log x)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log 1/12) (log 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 (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1/12 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1/12 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1/12 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1/12 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1/12 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log 1/12)) into (+ (log 1/12) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log 1/12) (log x))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log 1/12) (log 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 (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1/12 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1/12 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1/12 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1/12 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1/12 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1/12 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1/12 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log 1/12)) into (+ (log 1/12) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log 1/12) (log x)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log 1/12) (log 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 (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1/12 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1/12 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1/12 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1/12 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1/12 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1/12 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1/12 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1/12 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1/12 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1/12 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1/12 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log 1/12)) into (+ (log 1/12) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log 1/12) (log x))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log 1/12) (log 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 (+ (log 1/12) (log x)))) into (exp (* 1/3 (+ (log 1/12) (log x)))) * [misc]approximate: Taking taylor expansion of (cbrt (* 1/12 (/ 1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (* 1/12 (/ 1 x))) in x * [misc]taylor: Rewrote expression to (pow (* 1/12 (/ 1 x)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* 1/12 (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* 1/12 (/ 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 (* 1/12 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (* 1/12 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1/12 1) into 1/12 * [misc]backup-simplify: Simplify (log 1/12) into (log 1/12) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log 1/12)) into (- (log 1/12) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log 1/12) (log x))) into (* 1/3 (- (log 1/12) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/12) (log x)))) into (exp (* 1/3 (- (log 1/12) (log x)))) * [misc]taylor: Taking taylor expansion of (cbrt (* 1/12 (/ 1 x))) in x * [misc]taylor: Rewrote expression to (pow (* 1/12 (/ 1 x)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* 1/12 (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* 1/12 (/ 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 (* 1/12 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (* 1/12 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1/12 1) into 1/12 * [misc]backup-simplify: Simplify (log 1/12) into (log 1/12) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log 1/12)) into (- (log 1/12) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log 1/12) (log x))) into (* 1/3 (- (log 1/12) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/12) (log x)))) into (exp (* 1/3 (- (log 1/12) (log x)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/12) (log x)))) into (exp (* 1/3 (- (log 1/12) (log x)))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/12 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log 1/12)) into (- (log 1/12) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log 1/12) (log x)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/12) (log x)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1/12 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1/12 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log 1/12)) into (- (log 1/12) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log 1/12) (log x))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/12) (log x)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1/12 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1/12 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1/12 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log 1/12)) into (- (log 1/12) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log 1/12) (log x)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/12) (log 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1/12 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1/12 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1/12 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1/12 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1/12 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log 1/12)) into (- (log 1/12) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log 1/12) (log x))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/12) (log 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1/12 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1/12 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1/12 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1/12 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1/12 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1/12 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1/12 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log 1/12)) into (- (log 1/12) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log 1/12) (log x)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/12) (log 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1/12 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1/12 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1/12 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1/12 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1/12 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1/12 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1/12 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1/12 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1/12 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1/12 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1/12 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log 1/12)) into (- (log 1/12) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log 1/12) (log x))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/12) (log 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 (- (log 1/12) (log (/ 1 x))))) into (exp (* 1/3 (- (log 1/12) (log (/ 1 x))))) * [misc]approximate: Taking taylor expansion of (cbrt (* 1/12 (/ 1 (- x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (* 1/12 (/ 1 (- x)))) in x * [misc]taylor: Rewrote expression to (pow (* 1/12 (/ 1 (- x))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* 1/12 (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* 1/12 (/ 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 (* 1/12 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (* 1/12 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* 1/12 -1) into -1/12 * [misc]backup-simplify: Simplify (log -1/12) into (log -1/12) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1/12)) into (- (log -1/12) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1/12) (log x))) into (* 1/3 (- (log -1/12) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1/12) (log x)))) into (exp (* 1/3 (- (log -1/12) (log x)))) * [misc]taylor: Taking taylor expansion of (cbrt (* 1/12 (/ 1 (- x)))) in x * [misc]taylor: Rewrote expression to (pow (* 1/12 (/ 1 (- x))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* 1/12 (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* 1/12 (/ 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 (* 1/12 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (* 1/12 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* 1/12 -1) into -1/12 * [misc]backup-simplify: Simplify (log -1/12) into (log -1/12) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1/12)) into (- (log -1/12) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1/12) (log x))) into (* 1/3 (- (log -1/12) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1/12) (log x)))) into (exp (* 1/3 (- (log -1/12) (log x)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1/12) (log x)))) into (exp (* 1/3 (- (log -1/12) (log x)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1/12 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1/12)) into (- (log -1/12) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log -1/12) (log x)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1/12) (log x)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1/12 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1/12 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1/12)) into (- (log -1/12) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log -1/12) (log x))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1/12) (log x)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1/12 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1/12 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1/12 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1/12)) into (- (log -1/12) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1/12) (log x)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1/12) (log x)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow -1/12 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow -1/12 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow -1/12 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow -1/12 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow -1/12 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1/12)) into (- (log -1/12) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1/12) (log x))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1/12) (log x)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow -1/12 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow -1/12 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow -1/12 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow -1/12 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow -1/12 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow -1/12 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow -1/12 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1/12)) into (- (log -1/12) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1/12) (log x)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1/12) (log x)))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow -1/12 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow -1/12 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow -1/12 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow -1/12 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow -1/12 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow -1/12 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow -1/12 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow -1/12 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow -1/12 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow -1/12 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow -1/12 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1/12)) into (- (log -1/12) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1/12) (log x))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1/12) (log 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 (- (log -1/12) (log (/ 1 (- x)))))) into (exp (* 1/3 (- (log -1/12) (log (/ -1 x))))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 1 2) * [misc]approximate: Taking taylor expansion of (cbrt (* 1/12 x)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (* 1/12 x)) in x * [misc]taylor: Rewrote expression to (pow (* 1/12 x) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* 1/12 x)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* 1/12 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 (* 1/12 x)) in x * [misc]taylor: Taking taylor expansion of (* 1/12 x) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/12 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 1) (* 0 0)) into 1/12 * [misc]backup-simplify: Simplify (log 1/12) into (log 1/12) * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log 1/12)) into (+ (log 1/12) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log 1/12) (log x))) into (* 1/3 (+ (log 1/12) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log 1/12) (log x)))) into (exp (* 1/3 (+ (log 1/12) (log x)))) * [misc]taylor: Taking taylor expansion of (cbrt (* 1/12 x)) in x * [misc]taylor: Rewrote expression to (pow (* 1/12 x) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* 1/12 x)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* 1/12 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 (* 1/12 x)) in x * [misc]taylor: Taking taylor expansion of (* 1/12 x) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/12 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 1) (* 0 0)) into 1/12 * [misc]backup-simplify: Simplify (log 1/12) into (log 1/12) * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log 1/12)) into (+ (log 1/12) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log 1/12) (log x))) into (* 1/3 (+ (log 1/12) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log 1/12) (log x)))) into (exp (* 1/3 (+ (log 1/12) (log x)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log 1/12) (log x)))) into (exp (* 1/3 (+ (log 1/12) (log x)))) * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/12 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log 1/12)) into (+ (log 1/12) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log 1/12) (log x)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log 1/12) (log x)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1/12 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1/12 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log 1/12)) into (+ (log 1/12) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (+ (log 1/12) (log x))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log 1/12) (log x)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1/12 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1/12 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1/12 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log 1/12)) into (+ (log 1/12) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log 1/12) (log x)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log 1/12) (log 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 (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1/12 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1/12 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1/12 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1/12 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1/12 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log 1/12)) into (+ (log 1/12) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log 1/12) (log x))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log 1/12) (log 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 (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1/12 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1/12 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1/12 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1/12 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1/12 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1/12 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1/12 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log 1/12)) into (+ (log 1/12) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log 1/12) (log x)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log 1/12) (log 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 (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1/12 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1/12 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1/12 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1/12 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1/12 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1/12 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1/12 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1/12 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1/12 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1/12 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1/12 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log 1/12)) into (+ (log 1/12) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log 1/12) (log x))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log 1/12) (log 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 (+ (log 1/12) (log x)))) into (exp (* 1/3 (+ (log 1/12) (log x)))) * [misc]approximate: Taking taylor expansion of (cbrt (* 1/12 (/ 1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (* 1/12 (/ 1 x))) in x * [misc]taylor: Rewrote expression to (pow (* 1/12 (/ 1 x)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* 1/12 (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* 1/12 (/ 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 (* 1/12 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (* 1/12 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1/12 1) into 1/12 * [misc]backup-simplify: Simplify (log 1/12) into (log 1/12) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log 1/12)) into (- (log 1/12) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log 1/12) (log x))) into (* 1/3 (- (log 1/12) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/12) (log x)))) into (exp (* 1/3 (- (log 1/12) (log x)))) * [misc]taylor: Taking taylor expansion of (cbrt (* 1/12 (/ 1 x))) in x * [misc]taylor: Rewrote expression to (pow (* 1/12 (/ 1 x)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* 1/12 (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* 1/12 (/ 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 (* 1/12 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (* 1/12 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1/12 1) into 1/12 * [misc]backup-simplify: Simplify (log 1/12) into (log 1/12) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log 1/12)) into (- (log 1/12) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log 1/12) (log x))) into (* 1/3 (- (log 1/12) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/12) (log x)))) into (exp (* 1/3 (- (log 1/12) (log x)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/12) (log x)))) into (exp (* 1/3 (- (log 1/12) (log x)))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/12 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log 1/12)) into (- (log 1/12) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log 1/12) (log x)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/12) (log x)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1/12 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1/12 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log 1/12)) into (- (log 1/12) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log 1/12) (log x))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/12) (log x)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1/12 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1/12 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1/12 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log 1/12)) into (- (log 1/12) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log 1/12) (log x)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/12) (log 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1/12 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1/12 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1/12 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1/12 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1/12 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log 1/12)) into (- (log 1/12) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log 1/12) (log x))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/12) (log 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1/12 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1/12 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1/12 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1/12 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1/12 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1/12 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1/12 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log 1/12)) into (- (log 1/12) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log 1/12) (log x)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/12) (log 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1/12 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1/12 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1/12 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1/12 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1/12 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1/12 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1/12 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1/12 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1/12 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1/12 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1/12 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log 1/12)) into (- (log 1/12) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log 1/12) (log x))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/12) (log 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 (- (log 1/12) (log (/ 1 x))))) into (exp (* 1/3 (- (log 1/12) (log (/ 1 x))))) * [misc]approximate: Taking taylor expansion of (cbrt (* 1/12 (/ 1 (- x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (* 1/12 (/ 1 (- x)))) in x * [misc]taylor: Rewrote expression to (pow (* 1/12 (/ 1 (- x))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* 1/12 (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* 1/12 (/ 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 (* 1/12 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (* 1/12 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* 1/12 -1) into -1/12 * [misc]backup-simplify: Simplify (log -1/12) into (log -1/12) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1/12)) into (- (log -1/12) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1/12) (log x))) into (* 1/3 (- (log -1/12) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1/12) (log x)))) into (exp (* 1/3 (- (log -1/12) (log x)))) * [misc]taylor: Taking taylor expansion of (cbrt (* 1/12 (/ 1 (- x)))) in x * [misc]taylor: Rewrote expression to (pow (* 1/12 (/ 1 (- x))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* 1/12 (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* 1/12 (/ 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 (* 1/12 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (* 1/12 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* 1/12 -1) into -1/12 * [misc]backup-simplify: Simplify (log -1/12) into (log -1/12) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1/12)) into (- (log -1/12) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1/12) (log x))) into (* 1/3 (- (log -1/12) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1/12) (log x)))) into (exp (* 1/3 (- (log -1/12) (log x)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1/12) (log x)))) into (exp (* 1/3 (- (log -1/12) (log x)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1/12 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1/12)) into (- (log -1/12) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log -1/12) (log x)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1/12) (log x)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1/12 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1/12 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1/12)) into (- (log -1/12) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log -1/12) (log x))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1/12) (log x)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1/12 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1/12 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1/12 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1/12)) into (- (log -1/12) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1/12) (log x)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1/12) (log x)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow -1/12 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow -1/12 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow -1/12 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow -1/12 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow -1/12 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1/12)) into (- (log -1/12) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1/12) (log x))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1/12) (log x)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow -1/12 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow -1/12 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow -1/12 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow -1/12 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow -1/12 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow -1/12 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow -1/12 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1/12)) into (- (log -1/12) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1/12) (log x)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1/12) (log x)))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow -1/12 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow -1/12 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow -1/12 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow -1/12 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow -1/12 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow -1/12 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow -1/12 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow -1/12 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow -1/12 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow -1/12 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow -1/12 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1/12)) into (- (log -1/12) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1/12) (log x))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1/12) (log 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 (- (log -1/12) (log (/ 1 (- x)))))) into (exp (* 1/3 (- (log -1/12) (log (/ -1 x))))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 1 1) * [misc]approximate: Taking taylor expansion of (cbrt (* 1/12 x)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (* 1/12 x)) in x * [misc]taylor: Rewrote expression to (pow (* 1/12 x) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* 1/12 x)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* 1/12 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 (* 1/12 x)) in x * [misc]taylor: Taking taylor expansion of (* 1/12 x) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/12 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 1) (* 0 0)) into 1/12 * [misc]backup-simplify: Simplify (log 1/12) into (log 1/12) * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log 1/12)) into (+ (log 1/12) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log 1/12) (log x))) into (* 1/3 (+ (log 1/12) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log 1/12) (log x)))) into (exp (* 1/3 (+ (log 1/12) (log x)))) * [misc]taylor: Taking taylor expansion of (cbrt (* 1/12 x)) in x * [misc]taylor: Rewrote expression to (pow (* 1/12 x) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* 1/12 x)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* 1/12 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 (* 1/12 x)) in x * [misc]taylor: Taking taylor expansion of (* 1/12 x) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/12 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 1) (* 0 0)) into 1/12 * [misc]backup-simplify: Simplify (log 1/12) into (log 1/12) * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log 1/12)) into (+ (log 1/12) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log 1/12) (log x))) into (* 1/3 (+ (log 1/12) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log 1/12) (log x)))) into (exp (* 1/3 (+ (log 1/12) (log x)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log 1/12) (log x)))) into (exp (* 1/3 (+ (log 1/12) (log x)))) * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/12 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log 1/12)) into (+ (log 1/12) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log 1/12) (log x)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log 1/12) (log x)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1/12 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1/12 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log 1/12)) into (+ (log 1/12) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (+ (log 1/12) (log x))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log 1/12) (log x)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1/12 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1/12 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1/12 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log 1/12)) into (+ (log 1/12) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log 1/12) (log x)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log 1/12) (log 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 (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1/12 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1/12 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1/12 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1/12 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1/12 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log 1/12)) into (+ (log 1/12) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log 1/12) (log x))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log 1/12) (log 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 (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1/12 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1/12 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1/12 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1/12 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1/12 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1/12 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1/12 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log 1/12)) into (+ (log 1/12) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log 1/12) (log x)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log 1/12) (log 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 (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1/12 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1/12 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1/12 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1/12 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1/12 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1/12 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1/12 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1/12 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1/12 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1/12 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1/12 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log 1/12)) into (+ (log 1/12) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log 1/12) (log x))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log 1/12) (log 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 (+ (log 1/12) (log x)))) into (exp (* 1/3 (+ (log 1/12) (log x)))) * [misc]approximate: Taking taylor expansion of (cbrt (* 1/12 (/ 1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (* 1/12 (/ 1 x))) in x * [misc]taylor: Rewrote expression to (pow (* 1/12 (/ 1 x)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* 1/12 (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* 1/12 (/ 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 (* 1/12 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (* 1/12 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1/12 1) into 1/12 * [misc]backup-simplify: Simplify (log 1/12) into (log 1/12) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log 1/12)) into (- (log 1/12) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log 1/12) (log x))) into (* 1/3 (- (log 1/12) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/12) (log x)))) into (exp (* 1/3 (- (log 1/12) (log x)))) * [misc]taylor: Taking taylor expansion of (cbrt (* 1/12 (/ 1 x))) in x * [misc]taylor: Rewrote expression to (pow (* 1/12 (/ 1 x)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* 1/12 (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* 1/12 (/ 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 (* 1/12 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (* 1/12 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1/12 1) into 1/12 * [misc]backup-simplify: Simplify (log 1/12) into (log 1/12) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log 1/12)) into (- (log 1/12) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log 1/12) (log x))) into (* 1/3 (- (log 1/12) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/12) (log x)))) into (exp (* 1/3 (- (log 1/12) (log x)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/12) (log x)))) into (exp (* 1/3 (- (log 1/12) (log x)))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/12 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log 1/12)) into (- (log 1/12) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log 1/12) (log x)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/12) (log x)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1/12 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1/12 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log 1/12)) into (- (log 1/12) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log 1/12) (log x))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/12) (log x)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1/12 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1/12 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1/12 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log 1/12)) into (- (log 1/12) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log 1/12) (log x)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/12) (log 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1/12 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1/12 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1/12 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1/12 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1/12 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log 1/12)) into (- (log 1/12) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log 1/12) (log x))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/12) (log 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1/12 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1/12 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1/12 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1/12 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1/12 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1/12 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1/12 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log 1/12)) into (- (log 1/12) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log 1/12) (log x)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/12) (log 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1/12 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1/12 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1/12 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1/12 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1/12 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1/12 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1/12 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1/12 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1/12 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1/12 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1/12 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log 1/12)) into (- (log 1/12) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log 1/12) (log x))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/12) (log 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 (- (log 1/12) (log (/ 1 x))))) into (exp (* 1/3 (- (log 1/12) (log (/ 1 x))))) * [misc]approximate: Taking taylor expansion of (cbrt (* 1/12 (/ 1 (- x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (* 1/12 (/ 1 (- x)))) in x * [misc]taylor: Rewrote expression to (pow (* 1/12 (/ 1 (- x))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* 1/12 (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* 1/12 (/ 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 (* 1/12 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (* 1/12 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* 1/12 -1) into -1/12 * [misc]backup-simplify: Simplify (log -1/12) into (log -1/12) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1/12)) into (- (log -1/12) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1/12) (log x))) into (* 1/3 (- (log -1/12) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1/12) (log x)))) into (exp (* 1/3 (- (log -1/12) (log x)))) * [misc]taylor: Taking taylor expansion of (cbrt (* 1/12 (/ 1 (- x)))) in x * [misc]taylor: Rewrote expression to (pow (* 1/12 (/ 1 (- x))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* 1/12 (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* 1/12 (/ 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 (* 1/12 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (* 1/12 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* 1/12 -1) into -1/12 * [misc]backup-simplify: Simplify (log -1/12) into (log -1/12) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1/12)) into (- (log -1/12) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1/12) (log x))) into (* 1/3 (- (log -1/12) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1/12) (log x)))) into (exp (* 1/3 (- (log -1/12) (log x)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1/12) (log x)))) into (exp (* 1/3 (- (log -1/12) (log x)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1/12 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1/12)) into (- (log -1/12) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log -1/12) (log x)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1/12) (log x)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1/12 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1/12 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1/12)) into (- (log -1/12) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log -1/12) (log x))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1/12) (log x)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1/12 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1/12 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1/12 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1/12)) into (- (log -1/12) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1/12) (log x)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1/12) (log x)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow -1/12 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow -1/12 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow -1/12 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow -1/12 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow -1/12 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1/12)) into (- (log -1/12) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1/12) (log x))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1/12) (log x)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow -1/12 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow -1/12 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow -1/12 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow -1/12 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow -1/12 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow -1/12 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow -1/12 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1/12)) into (- (log -1/12) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1/12) (log x)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1/12) (log x)))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow -1/12 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow -1/12 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow -1/12 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow -1/12 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow -1/12 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow -1/12 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow -1/12 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow -1/12 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow -1/12 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow -1/12 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow -1/12 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1/12)) into (- (log -1/12) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1/12) (log x))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1/12) (log 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 (- (log -1/12) (log (/ 1 (- x)))))) into (exp (* 1/3 (- (log -1/12) (log (/ -1 x))))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (* (cbrt (* 1/12 x)) (cbrt (* 1/12 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (cbrt (* 1/12 x)) (cbrt (* 1/12 x))) in x * [misc]taylor: Taking taylor expansion of (cbrt (* 1/12 x)) in x * [misc]taylor: Rewrote expression to (pow (* 1/12 x) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* 1/12 x)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* 1/12 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 (* 1/12 x)) in x * [misc]taylor: Taking taylor expansion of (* 1/12 x) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/12 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 1) (* 0 0)) into 1/12 * [misc]backup-simplify: Simplify (log 1/12) into (log 1/12) * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log 1/12)) into (+ (log 1/12) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log 1/12) (log x))) into (* 1/3 (+ (log 1/12) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log 1/12) (log x)))) into (exp (* 1/3 (+ (log 1/12) (log x)))) * [misc]taylor: Taking taylor expansion of (cbrt (* 1/12 x)) in x * [misc]taylor: Rewrote expression to (pow (* 1/12 x) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* 1/12 x)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* 1/12 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 (* 1/12 x)) in x * [misc]taylor: Taking taylor expansion of (* 1/12 x) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/12 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 1) (* 0 0)) into 1/12 * [misc]backup-simplify: Simplify (log 1/12) into (log 1/12) * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log 1/12)) into (+ (log 1/12) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log 1/12) (log x))) into (* 1/3 (+ (log 1/12) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log 1/12) (log x)))) into (exp (* 1/3 (+ (log 1/12) (log x)))) * [misc]taylor: Taking taylor expansion of (* (cbrt (* 1/12 x)) (cbrt (* 1/12 x))) in x * [misc]taylor: Taking taylor expansion of (cbrt (* 1/12 x)) in x * [misc]taylor: Rewrote expression to (pow (* 1/12 x) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* 1/12 x)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* 1/12 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 (* 1/12 x)) in x * [misc]taylor: Taking taylor expansion of (* 1/12 x) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/12 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 1) (* 0 0)) into 1/12 * [misc]backup-simplify: Simplify (log 1/12) into (log 1/12) * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log 1/12)) into (+ (log 1/12) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log 1/12) (log x))) into (* 1/3 (+ (log 1/12) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log 1/12) (log x)))) into (exp (* 1/3 (+ (log 1/12) (log x)))) * [misc]taylor: Taking taylor expansion of (cbrt (* 1/12 x)) in x * [misc]taylor: Rewrote expression to (pow (* 1/12 x) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* 1/12 x)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* 1/12 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 (* 1/12 x)) in x * [misc]taylor: Taking taylor expansion of (* 1/12 x) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/12 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 1) (* 0 0)) into 1/12 * [misc]backup-simplify: Simplify (log 1/12) into (log 1/12) * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log 1/12)) into (+ (log 1/12) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log 1/12) (log x))) into (* 1/3 (+ (log 1/12) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log 1/12) (log x)))) into (exp (* 1/3 (+ (log 1/12) (log x)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log 1/12) (log x)))) (exp (* 1/3 (+ (log 1/12) (log x))))) into (pow (exp (* 1/3 (+ (log 1/12) (log x)))) 2) * [misc]backup-simplify: Simplify (pow (exp (* 1/3 (+ (log 1/12) (log x)))) 2) into (pow (exp (* 1/3 (+ (log 1/12) (log x)))) 2) * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/12 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log 1/12)) into (+ (log 1/12) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log 1/12) (log x)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log 1/12) (log x)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/12 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log 1/12)) into (+ (log 1/12) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log 1/12) (log x)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log 1/12) (log x)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (+ (log 1/12) (log x)))) 0) (* 0 (exp (* 1/3 (+ (log 1/12) (log x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1/12 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1/12 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log 1/12)) into (+ (log 1/12) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (+ (log 1/12) (log x))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log 1/12) (log x)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1/12 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1/12 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log 1/12)) into (+ (log 1/12) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (+ (log 1/12) (log x))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log 1/12) (log x)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (+ (log 1/12) (log x)))) 0) (+ (* 0 0) (* 0 (exp (* 1/3 (+ (log 1/12) (log x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1/12 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1/12 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1/12 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log 1/12)) into (+ (log 1/12) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log 1/12) (log x)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log 1/12) (log x)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1/12 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1/12 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1/12 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log 1/12)) into (+ (log 1/12) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log 1/12) (log x)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log 1/12) (log 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 (+ (log 1/12) (log x)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/3 (+ (log 1/12) (log x)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1/12 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1/12 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1/12 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1/12 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1/12 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log 1/12)) into (+ (log 1/12) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log 1/12) (log x))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log 1/12) (log 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 (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1/12 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1/12 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1/12 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1/12 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1/12 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log 1/12)) into (+ (log 1/12) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log 1/12) (log x))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log 1/12) (log 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 (+ (log 1/12) (log x)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/3 (+ (log 1/12) (log x))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1/12 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1/12 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1/12 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1/12 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1/12 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1/12 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1/12 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log 1/12)) into (+ (log 1/12) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log 1/12) (log x)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log 1/12) (log 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 (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1/12 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1/12 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1/12 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1/12 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1/12 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1/12 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1/12 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log 1/12)) into (+ (log 1/12) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log 1/12) (log x)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log 1/12) (log 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 (+ (log 1/12) (log x)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/3 (+ (log 1/12) (log x)))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1/12 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1/12 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1/12 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1/12 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1/12 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1/12 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1/12 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1/12 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1/12 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1/12 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1/12 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log 1/12)) into (+ (log 1/12) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log 1/12) (log x))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log 1/12) (log 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 (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1/12 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1/12 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1/12 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1/12 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1/12 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1/12 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1/12 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1/12 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1/12 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1/12 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1/12 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log 1/12)) into (+ (log 1/12) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log 1/12) (log x))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log 1/12) (log 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 (+ (log 1/12) (log x)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/3 (+ (log 1/12) (log x))))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (exp (* 1/3 (+ (log 1/12) (log x)))) 2) into (pow (exp (* 1/3 (+ (log 1/12) (log x)))) 2) * [misc]approximate: Taking taylor expansion of (* (cbrt (* 1/12 (/ 1 x))) (cbrt (* 1/12 (/ 1 x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (cbrt (* 1/12 (/ 1 x))) (cbrt (* 1/12 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (cbrt (* 1/12 (/ 1 x))) in x * [misc]taylor: Rewrote expression to (pow (* 1/12 (/ 1 x)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* 1/12 (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* 1/12 (/ 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 (* 1/12 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (* 1/12 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1/12 1) into 1/12 * [misc]backup-simplify: Simplify (log 1/12) into (log 1/12) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log 1/12)) into (- (log 1/12) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log 1/12) (log x))) into (* 1/3 (- (log 1/12) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/12) (log x)))) into (exp (* 1/3 (- (log 1/12) (log x)))) * [misc]taylor: Taking taylor expansion of (cbrt (* 1/12 (/ 1 x))) in x * [misc]taylor: Rewrote expression to (pow (* 1/12 (/ 1 x)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* 1/12 (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* 1/12 (/ 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 (* 1/12 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (* 1/12 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1/12 1) into 1/12 * [misc]backup-simplify: Simplify (log 1/12) into (log 1/12) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log 1/12)) into (- (log 1/12) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log 1/12) (log x))) into (* 1/3 (- (log 1/12) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/12) (log x)))) into (exp (* 1/3 (- (log 1/12) (log x)))) * [misc]taylor: Taking taylor expansion of (* (cbrt (* 1/12 (/ 1 x))) (cbrt (* 1/12 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (cbrt (* 1/12 (/ 1 x))) in x * [misc]taylor: Rewrote expression to (pow (* 1/12 (/ 1 x)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* 1/12 (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* 1/12 (/ 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 (* 1/12 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (* 1/12 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1/12 1) into 1/12 * [misc]backup-simplify: Simplify (log 1/12) into (log 1/12) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log 1/12)) into (- (log 1/12) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log 1/12) (log x))) into (* 1/3 (- (log 1/12) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/12) (log x)))) into (exp (* 1/3 (- (log 1/12) (log x)))) * [misc]taylor: Taking taylor expansion of (cbrt (* 1/12 (/ 1 x))) in x * [misc]taylor: Rewrote expression to (pow (* 1/12 (/ 1 x)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* 1/12 (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* 1/12 (/ 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 (* 1/12 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (* 1/12 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1/12 1) into 1/12 * [misc]backup-simplify: Simplify (log 1/12) into (log 1/12) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log 1/12)) into (- (log 1/12) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log 1/12) (log x))) into (* 1/3 (- (log 1/12) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/12) (log x)))) into (exp (* 1/3 (- (log 1/12) (log x)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/12) (log x)))) (exp (* 1/3 (- (log 1/12) (log x))))) into (pow (exp (* 1/3 (- (log 1/12) (log x)))) 2) * [misc]backup-simplify: Simplify (pow (exp (* 1/3 (- (log 1/12) (log x)))) 2) into (pow (exp (* 1/3 (- (log 1/12) (log x)))) 2) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/12 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log 1/12)) into (- (log 1/12) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log 1/12) (log x)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/12) (log x)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/12 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log 1/12)) into (- (log 1/12) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log 1/12) (log x)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/12) (log x)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (- (log 1/12) (log x)))) 0) (* 0 (exp (* 1/3 (- (log 1/12) (log x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1/12 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1/12 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log 1/12)) into (- (log 1/12) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log 1/12) (log x))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/12) (log x)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1/12 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1/12 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log 1/12)) into (- (log 1/12) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log 1/12) (log x))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/12) (log x)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (- (log 1/12) (log x)))) 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log 1/12) (log x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1/12 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1/12 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1/12 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log 1/12)) into (- (log 1/12) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log 1/12) (log x)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/12) (log x)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1/12 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1/12 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1/12 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log 1/12)) into (- (log 1/12) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log 1/12) (log x)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/12) (log 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 (- (log 1/12) (log x)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log 1/12) (log x)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1/12 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1/12 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1/12 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1/12 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1/12 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log 1/12)) into (- (log 1/12) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log 1/12) (log x))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/12) (log 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1/12 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1/12 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1/12 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1/12 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1/12 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log 1/12)) into (- (log 1/12) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log 1/12) (log x))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/12) (log 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 (- (log 1/12) (log x)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log 1/12) (log x))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1/12 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1/12 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1/12 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1/12 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1/12 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1/12 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1/12 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log 1/12)) into (- (log 1/12) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log 1/12) (log x)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/12) (log 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1/12 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1/12 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1/12 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1/12 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1/12 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1/12 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1/12 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log 1/12)) into (- (log 1/12) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log 1/12) (log x)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/12) (log 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 (- (log 1/12) (log x)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log 1/12) (log x)))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1/12 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1/12 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1/12 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1/12 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1/12 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1/12 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1/12 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1/12 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1/12 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1/12 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1/12 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log 1/12)) into (- (log 1/12) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log 1/12) (log x))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/12) (log 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1/12 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1/12 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1/12 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1/12 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1/12 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1/12 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1/12 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1/12 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1/12 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1/12 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1/12 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log 1/12)) into (- (log 1/12) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log 1/12) (log x))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/12) (log 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 (- (log 1/12) (log x)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log 1/12) (log x))))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (exp (* 1/3 (- (log 1/12) (log (/ 1 x))))) 2) into (pow (exp (* 1/3 (- (log 1/12) (log (/ 1 x))))) 2) * [misc]approximate: Taking taylor expansion of (* (cbrt (* 1/12 (/ 1 (- x)))) (cbrt (* 1/12 (/ 1 (- x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (cbrt (* 1/12 (/ 1 (- x)))) (cbrt (* 1/12 (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (cbrt (* 1/12 (/ 1 (- x)))) in x * [misc]taylor: Rewrote expression to (pow (* 1/12 (/ 1 (- x))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* 1/12 (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* 1/12 (/ 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 (* 1/12 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (* 1/12 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* 1/12 -1) into -1/12 * [misc]backup-simplify: Simplify (log -1/12) into (log -1/12) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1/12)) into (- (log -1/12) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1/12) (log x))) into (* 1/3 (- (log -1/12) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1/12) (log x)))) into (exp (* 1/3 (- (log -1/12) (log x)))) * [misc]taylor: Taking taylor expansion of (cbrt (* 1/12 (/ 1 (- x)))) in x * [misc]taylor: Rewrote expression to (pow (* 1/12 (/ 1 (- x))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* 1/12 (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* 1/12 (/ 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 (* 1/12 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (* 1/12 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* 1/12 -1) into -1/12 * [misc]backup-simplify: Simplify (log -1/12) into (log -1/12) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1/12)) into (- (log -1/12) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1/12) (log x))) into (* 1/3 (- (log -1/12) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1/12) (log x)))) into (exp (* 1/3 (- (log -1/12) (log x)))) * [misc]taylor: Taking taylor expansion of (* (cbrt (* 1/12 (/ 1 (- x)))) (cbrt (* 1/12 (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (cbrt (* 1/12 (/ 1 (- x)))) in x * [misc]taylor: Rewrote expression to (pow (* 1/12 (/ 1 (- x))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* 1/12 (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* 1/12 (/ 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 (* 1/12 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (* 1/12 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* 1/12 -1) into -1/12 * [misc]backup-simplify: Simplify (log -1/12) into (log -1/12) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1/12)) into (- (log -1/12) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1/12) (log x))) into (* 1/3 (- (log -1/12) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1/12) (log x)))) into (exp (* 1/3 (- (log -1/12) (log x)))) * [misc]taylor: Taking taylor expansion of (cbrt (* 1/12 (/ 1 (- x)))) in x * [misc]taylor: Rewrote expression to (pow (* 1/12 (/ 1 (- x))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* 1/12 (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* 1/12 (/ 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 (* 1/12 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (* 1/12 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* 1/12 -1) into -1/12 * [misc]backup-simplify: Simplify (log -1/12) into (log -1/12) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1/12)) into (- (log -1/12) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1/12) (log x))) into (* 1/3 (- (log -1/12) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1/12) (log x)))) into (exp (* 1/3 (- (log -1/12) (log x)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1/12) (log x)))) (exp (* 1/3 (- (log -1/12) (log x))))) into (pow (exp (* 1/3 (- (log -1/12) (log x)))) 2) * [misc]backup-simplify: Simplify (pow (exp (* 1/3 (- (log -1/12) (log x)))) 2) into (pow (exp (* 1/3 (- (log -1/12) (log x)))) 2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1/12 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1/12)) into (- (log -1/12) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log -1/12) (log x)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1/12) (log x)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1/12 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1/12)) into (- (log -1/12) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log -1/12) (log x)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1/12) (log x)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (- (log -1/12) (log x)))) 0) (* 0 (exp (* 1/3 (- (log -1/12) (log x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1/12 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1/12 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1/12)) into (- (log -1/12) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log -1/12) (log x))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1/12) (log x)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1/12 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1/12 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1/12)) into (- (log -1/12) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log -1/12) (log x))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1/12) (log x)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (- (log -1/12) (log x)))) 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log -1/12) (log x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1/12 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1/12 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1/12 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1/12)) into (- (log -1/12) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1/12) (log x)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1/12) (log 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 (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1/12 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1/12 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1/12 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1/12)) into (- (log -1/12) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1/12) (log x)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1/12) (log 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 (- (log -1/12) (log x)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log -1/12) (log x)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow -1/12 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow -1/12 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow -1/12 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow -1/12 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow -1/12 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1/12)) into (- (log -1/12) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1/12) (log x))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1/12) (log 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 (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow -1/12 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow -1/12 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow -1/12 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow -1/12 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow -1/12 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1/12)) into (- (log -1/12) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1/12) (log x))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1/12) (log 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 (- (log -1/12) (log x)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log -1/12) (log x))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow -1/12 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow -1/12 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow -1/12 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow -1/12 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow -1/12 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow -1/12 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow -1/12 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1/12)) into (- (log -1/12) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1/12) (log x)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1/12) (log 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 (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow -1/12 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow -1/12 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow -1/12 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow -1/12 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow -1/12 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow -1/12 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow -1/12 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1/12)) into (- (log -1/12) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1/12) (log x)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1/12) (log 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 (- (log -1/12) (log x)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log -1/12) (log x)))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow -1/12 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow -1/12 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow -1/12 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow -1/12 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow -1/12 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow -1/12 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow -1/12 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow -1/12 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow -1/12 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow -1/12 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow -1/12 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1/12)) into (- (log -1/12) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1/12) (log x))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1/12) (log x)))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow -1/12 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow -1/12 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow -1/12 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow -1/12 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow -1/12 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow -1/12 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow -1/12 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow -1/12 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow -1/12 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow -1/12 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow -1/12 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1/12)) into (- (log -1/12) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1/12) (log x))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1/12) (log 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 (- (log -1/12) (log x)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log -1/12) (log x))))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (exp (* 1/3 (- (log -1/12) (log (/ 1 (- x)))))) 2) into (pow (exp (* 1/3 (- (log -1/12) (log (/ -1 x))))) 2) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1/12) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1/12) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (+ (* (* (cbrt (* 1/12 x)) (cbrt (* 1/12 x))) (* (cbrt 1/12) (cbrt x))) (+ (/ 1 x) 1/2))) * * * * [misc]progress: [ 6 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1/12) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1/12) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (x) (+ (* (* (cbrt (* 1/12 x)) (* (cbrt 1/12) (cbrt x))) (cbrt (* 1/12 x))) (+ (/ 1 x) 1/2))) * * * * [misc]progress: [ 15 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1/12) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1/12) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (x) (+ (* (* (* (cbrt 1/12) (cbrt x)) (cbrt (* 1/12 x))) (cbrt (* 1/12 x))) (+ (/ 1 x) 1/2))) * * * * [misc]progress: [ 24 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1/12 x) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (* 1/12 x) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (+ (* (pow (* 1/12 x) (+ 1/3 1/3)) (cbrt (* 1/12 x))) (+ (/ 1 x) 1/2))) * [enter]simplify: Simplifying (+ 1/3 1/3) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (+ 1/3 1/3) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (+ (* (pow (* 1/12 x) (+ 1/3 1/3)) (cbrt (* 1/12 x))) (+ (/ 1 x) 1/2))) * * * * [misc]progress: [ 29 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* 1/12 x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cbrt (* 1/12 x)) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (+ (* (pow (cbrt (* 1/12 x)) (+ 1 1)) (cbrt (* 1/12 x))) (+ (/ 1 x) 1/2))) * [enter]simplify: Simplifying (+ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (+ 1 1) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (+ (* (pow (cbrt (* 1/12 x)) (+ 1 1)) (cbrt (* 1/12 x))) (+ (/ 1 x) 1/2))) * * * * [misc]progress: [ 30 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* 1/12 x) (* 1/12 x)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (20 enodes) * [exit]simplify: Simplified to (* (* 1/12 x) (* 1/12 x)) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (+ (* (pow (* (* 1/12 x) (* 1/12 x)) 1/3) (cbrt (* 1/12 x))) (+ (/ 1 x) 1/2))) * * * * [misc]progress: [ 31 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* 1/12 x)) (cbrt (* 1/12 x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (* (cbrt (* 1/12 x)) (cbrt (* 1/12 x))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (+ (* (pow (* (cbrt (* 1/12 x)) (cbrt (* 1/12 x))) 1) (cbrt (* 1/12 x))) (+ (/ 1 x) 1/2))) * * * * [misc]progress: [ 32 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* 1/12 x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cbrt (* 1/12 x)) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (+ (* (pow (cbrt (* 1/12 x)) (+ 1 1)) (cbrt (* 1/12 x))) (+ (/ 1 x) 1/2))) * * * * [misc]progress: [ 34 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (cbrt (* 1/12 x))) (log (cbrt (* 1/12 x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (+ (log (cbrt (* 1/12 x))) (log (cbrt (* 1/12 x)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (+ (* (exp (+ (log (cbrt (* 1/12 x))) (log (cbrt (* 1/12 x))))) (cbrt (* 1/12 x))) (+ (/ 1 x) 1/2))) * * * * [misc]progress: [ 36 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* 1/12 x) (* 1/12 x)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (20 enodes) * [exit]simplify: Simplified to (* (* 1/12 x) (* 1/12 x)) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (+ (* (cbrt (* (* 1/12 x) (* 1/12 x))) (cbrt (* 1/12 x))) (+ (/ 1 x) 1/2))) * * * * [misc]progress: [ 39 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt x) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt x) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (+ (* (* (* (cbrt (* 1/12 x)) (cbrt 1/12)) (cbrt x)) (cbrt (* 1/12 x))) (+ (/ 1 x) 1/2))) * * * * [misc]progress: [ 44 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cbrt (* 1/12 x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (* 1/12 x))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (+ (* (* (* (cbrt (* 1/12 x)) (* (cbrt (cbrt (* 1/12 x))) (cbrt (cbrt (* 1/12 x))))) (cbrt (cbrt (* 1/12 x)))) (cbrt (* 1/12 x))) (+ (/ 1 x) 1/2))) * * * * [misc]progress: [ 45 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (* 1/12 x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (* 1/12 x))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (+ (* (* (* (cbrt (* 1/12 x)) (sqrt (cbrt (* 1/12 x)))) (sqrt (cbrt (* 1/12 x)))) (cbrt (* 1/12 x))) (+ (/ 1 x) 1/2))) * * * * [misc]progress: [ 46 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* 1/12 x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cbrt (* 1/12 x)) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (+ (* (* (* (cbrt (* 1/12 x)) 1) (cbrt (* 1/12 x))) (cbrt (* 1/12 x))) (+ (/ 1 x) 1/2))) * * * * [misc]progress: [ 47 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1/12) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1/12) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (+ (* (* (cbrt 1/12) (* (cbrt x) (cbrt (* 1/12 x)))) (cbrt (* 1/12 x))) (+ (/ 1 x) 1/2))) * * * * [misc]progress: [ 48 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cbrt (* 1/12 x))) (cbrt (cbrt (* 1/12 x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (* (cbrt (cbrt (* 1/12 x))) (cbrt (cbrt (* 1/12 x)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (+ (* (* (* (cbrt (cbrt (* 1/12 x))) (cbrt (cbrt (* 1/12 x)))) (* (cbrt (cbrt (* 1/12 x))) (cbrt (* 1/12 x)))) (cbrt (* 1/12 x))) (+ (/ 1 x) 1/2))) * * * * [misc]progress: [ 49 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (* 1/12 x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (* 1/12 x))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (+ (* (* (sqrt (cbrt (* 1/12 x))) (* (sqrt (cbrt (* 1/12 x))) (cbrt (* 1/12 x)))) (cbrt (* 1/12 x))) (+ (/ 1 x) 1/2))) * * * * [misc]progress: [ 50 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* 1/3 (+ (log 1/12) (log x)))) * * [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 (43 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * [exit]simplify: Simplified to (cbrt (* x 1/12)) * [misc]simplify: Simplified (2 1 2) to (λ (x) (+ (* (* (cbrt (* 1/12 x)) (cbrt (* 1/12 x))) (cbrt (* x 1/12))) (+ (/ 1 x) 1/2))) * * * * [misc]progress: [ 53 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* 1/3 (- (log 1/12) (log (/ 1 x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (98 enodes) * * [misc]simplify: iters left: 1 (234 enodes) * [exit]simplify: Simplified to (cbrt (* 1/12 x)) * [misc]simplify: Simplified (2 1 2) to (λ (x) (+ (* (* (cbrt (* 1/12 x)) (cbrt (* 1/12 x))) (cbrt (* 1/12 x))) (+ (/ 1 x) 1/2))) * * * * [misc]progress: [ 54 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* 1/3 (- (log -1/12) (log (/ -1 x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (112 enodes) * * [misc]simplify: iters left: 1 (264 enodes) * [exit]simplify: Simplified to (cbrt (/ -1/12 (/ -1 x))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (+ (* (* (cbrt (* 1/12 x)) (cbrt (* 1/12 x))) (cbrt (/ -1/12 (/ -1 x)))) (+ (/ 1 x) 1/2))) * * * * [misc]progress: [ 55 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* 1/3 (+ (log 1/12) (log x)))) * * [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 (43 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * [exit]simplify: Simplified to (cbrt (* x 1/12)) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (+ (* (* (cbrt (* 1/12 x)) (cbrt (* x 1/12))) (cbrt (* 1/12 x))) (+ (/ 1 x) 1/2))) * * * * [misc]progress: [ 56 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* 1/3 (- (log 1/12) (log (/ 1 x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (98 enodes) * * [misc]simplify: iters left: 1 (234 enodes) * [exit]simplify: Simplified to (cbrt (* 1/12 x)) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (+ (* (* (cbrt (* 1/12 x)) (cbrt (* 1/12 x))) (cbrt (* 1/12 x))) (+ (/ 1 x) 1/2))) * * * * [misc]progress: [ 57 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* 1/3 (- (log -1/12) (log (/ -1 x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (112 enodes) * * [misc]simplify: iters left: 1 (264 enodes) * [exit]simplify: Simplified to (cbrt (/ -1/12 (/ -1 x))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (+ (* (* (cbrt (* 1/12 x)) (cbrt (/ -1/12 (/ -1 x)))) (cbrt (* 1/12 x))) (+ (/ 1 x) 1/2))) * * * * [misc]progress: [ 58 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* 1/3 (+ (log 1/12) (log x)))) * * [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 (43 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * [exit]simplify: Simplified to (cbrt (* x 1/12)) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (+ (* (* (cbrt (* x 1/12)) (cbrt (* 1/12 x))) (cbrt (* 1/12 x))) (+ (/ 1 x) 1/2))) * * * * [misc]progress: [ 59 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* 1/3 (- (log 1/12) (log (/ 1 x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (98 enodes) * * [misc]simplify: iters left: 1 (234 enodes) * [exit]simplify: Simplified to (cbrt (* 1/12 x)) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (+ (* (* (cbrt (* 1/12 x)) (cbrt (* 1/12 x))) (cbrt (* 1/12 x))) (+ (/ 1 x) 1/2))) * * * * [misc]progress: [ 60 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* 1/3 (- (log -1/12) (log (/ -1 x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (112 enodes) * * [misc]simplify: iters left: 1 (264 enodes) * [exit]simplify: Simplified to (cbrt (/ -1/12 (/ -1 x))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (+ (* (* (cbrt (/ -1/12 (/ -1 x))) (cbrt (* 1/12 x))) (cbrt (* 1/12 x))) (+ (/ 1 x) 1/2))) * * * * [misc]progress: [ 61 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (exp (* 1/3 (+ (log 1/12) (log x)))) 2) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (129 enodes) * * [misc]simplify: iters left: 1 (176 enodes) * [exit]simplify: Simplified to (pow (* x 1/12) (+ 1/3 1/3)) * [misc]simplify: Simplified (2 1 1) to (λ (x) (+ (* (pow (* x 1/12) (+ 1/3 1/3)) (cbrt (* 1/12 x))) (+ (/ 1 x) 1/2))) * * * * [misc]progress: [ 62 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (exp (* 1/3 (- (log 1/12) (log (/ 1 x))))) 2) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (151 enodes) * * [misc]simplify: iters left: 1 (453 enodes) * [exit]simplify: Simplified to (pow (* 1/12 x) (+ 1/3 1/3)) * [misc]simplify: Simplified (2 1 1) to (λ (x) (+ (* (pow (* 1/12 x) (+ 1/3 1/3)) (cbrt (* 1/12 x))) (+ (/ 1 x) 1/2))) * * * * [misc]progress: [ 63 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (exp (* 1/3 (- (log -1/12) (log (/ -1 x))))) 2) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (172 enodes) * [exit]simplify: Simplified to (* (/ (cbrt -1/12) (pow (/ -1 x) 1/3)) (/ (cbrt -1/12) (pow (/ -1 x) 1/3))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (+ (* (* (/ (cbrt -1/12) (pow (/ -1 x) 1/3)) (/ (cbrt -1/12) (pow (/ -1 x) 1/3))) (cbrt (* 1/12 x))) (+ (/ 1 x) 1/2))) * * * [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) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (* (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2))) (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2))) (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2)))) in x * [misc]taylor: Taking taylor expansion of (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2))) in x * [misc]taylor: Rewrote expression to (pow (+ (* 1/12 x) (+ (/ 1 x) 1/2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1/12 x) (+ (/ 1 x) 1/2))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (* 1/12 x) (+ (/ 1 x) 1/2)))) 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 (+ (* 1/12 x) (+ (/ 1 x) 1/2))) in x * [misc]taylor: Taking taylor expansion of (+ (* 1/12 x) (+ (/ 1 x) 1/2)) in x * [misc]taylor: Taking taylor expansion of (* 1/12 x) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) 1/2) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log x))) into (* -1/3 (log x)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log x))) into (pow x -1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2))) in x * [misc]taylor: Rewrote expression to (pow (+ (* 1/12 x) (+ (/ 1 x) 1/2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1/12 x) (+ (/ 1 x) 1/2))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (* 1/12 x) (+ (/ 1 x) 1/2)))) 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 (+ (* 1/12 x) (+ (/ 1 x) 1/2))) in x * [misc]taylor: Taking taylor expansion of (+ (* 1/12 x) (+ (/ 1 x) 1/2)) in x * [misc]taylor: Taking taylor expansion of (* 1/12 x) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) 1/2) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log x))) into (* -1/3 (log x)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log x))) into (pow x -1/3) * [misc]taylor: Taking taylor expansion of (* (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2))) (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2)))) in x * [misc]taylor: Taking taylor expansion of (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2))) in x * [misc]taylor: Rewrote expression to (pow (+ (* 1/12 x) (+ (/ 1 x) 1/2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1/12 x) (+ (/ 1 x) 1/2))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (* 1/12 x) (+ (/ 1 x) 1/2)))) 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 (+ (* 1/12 x) (+ (/ 1 x) 1/2))) in x * [misc]taylor: Taking taylor expansion of (+ (* 1/12 x) (+ (/ 1 x) 1/2)) in x * [misc]taylor: Taking taylor expansion of (* 1/12 x) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) 1/2) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log x))) into (* -1/3 (log x)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log x))) into (pow x -1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2))) in x * [misc]taylor: Rewrote expression to (pow (+ (* 1/12 x) (+ (/ 1 x) 1/2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1/12 x) (+ (/ 1 x) 1/2))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (* 1/12 x) (+ (/ 1 x) 1/2)))) 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 (+ (* 1/12 x) (+ (/ 1 x) 1/2))) in x * [misc]taylor: Taking taylor expansion of (+ (* 1/12 x) (+ (/ 1 x) 1/2)) in x * [misc]taylor: Taking taylor expansion of (* 1/12 x) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) 1/2) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log x))) into (* -1/3 (log x)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log x))) into (pow x -1/3) * [misc]backup-simplify: Simplify (* (pow x -1/3) (pow x -1/3)) into (pow (/ 1 (pow x 2)) 1/3) * [misc]backup-simplify: Simplify (pow (/ 1 (pow x 2)) 1/3) into (pow (/ 1 (pow x 2)) 1/3) * [misc]backup-simplify: Simplify (* 1/12 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow 1 1)))) 1) into 1/2 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 1/2) (* 0 (- (log x)))) into 1/6 * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log x))) (+ (* (/ (pow 1/6 1) 1)))) into (* 1/6 (pow (/ 1 x) 1/3)) * [misc]backup-simplify: Simplify (* 1/12 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow 1 1)))) 1) into 1/2 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 1/2) (* 0 (- (log x)))) into 1/6 * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log x))) (+ (* (/ (pow 1/6 1) 1)))) into (* 1/6 (pow (/ 1 x) 1/3)) * [misc]backup-simplify: Simplify (+ (* (pow x -1/3) (* 1/6 (pow (/ 1 x) 1/3))) (* (* 1/6 (pow (/ 1 x) 1/3)) (pow x -1/3))) into (* 1/3 (pow (/ 1 (pow x 2)) 1/3)) * [misc]backup-simplify: Simplify (* 1/3 (pow (/ 1 (pow x 2)) 1/3)) into (* 1/3 (pow (/ 1 (pow x 2)) 1/3)) * [misc]backup-simplify: Simplify (+ (* 1/12 1) (* 0 0)) into 1/12 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 1/12 0) into 1/12 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1/12) 1)) (pow 1 1)))) 2) into -1/24 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 -1/24) (+ (* 0 1/2) (* 0 (- (log x))))) into (- 1/72) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log x))) (+ (* (/ (pow 1/6 2) 2)) (* (/ (pow (- 1/72) 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 1) (* 0 0)) into 1/12 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 1/12 0) into 1/12 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1/12) 1)) (pow 1 1)))) 2) into -1/24 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 -1/24) (+ (* 0 1/2) (* 0 (- (log x))))) into (- 1/72) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log x))) (+ (* (/ (pow 1/6 2) 2)) (* (/ (pow (- 1/72) 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow x -1/3) 0) (+ (* (* 1/6 (pow (/ 1 x) 1/3)) (* 1/6 (pow (/ 1 x) 1/3))) (* 0 (pow x -1/3)))) into (* 1/36 (pow (/ 1 (pow x 2)) 1/3)) * [misc]backup-simplify: Simplify (* 1/36 (pow (/ 1 (pow x 2)) 1/3)) into (* 1/36 (pow (/ 1 (pow x 2)) 1/3)) * [misc]backup-simplify: Simplify (+ (* (* 1/36 (pow (/ 1 (pow x 2)) 1/3)) (pow x 2)) (+ (* (* 1/3 (pow (/ 1 (pow x 2)) 1/3)) x) (pow (/ 1 (pow x 2)) 1/3))) into (+ (pow (/ 1 (pow x 2)) 1/3) (+ (* 1/36 (pow (pow x 4) 1/3)) (* 1/3 (pow x 1/3)))) * [misc]approximate: Taking taylor expansion of (* (cbrt (+ (* 1/12 (/ 1 x)) (+ (/ 1 (/ 1 x)) 1/2))) (cbrt (+ (* 1/12 (/ 1 x)) (+ (/ 1 (/ 1 x)) 1/2)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (cbrt (+ (* 1/12 (/ 1 x)) (+ (/ 1 (/ 1 x)) 1/2))) (cbrt (+ (* 1/12 (/ 1 x)) (+ (/ 1 (/ 1 x)) 1/2)))) in x * [misc]taylor: Taking taylor expansion of (cbrt (+ (* 1/12 (/ 1 x)) (+ (/ 1 (/ 1 x)) 1/2))) in x * [misc]taylor: Rewrote expression to (pow (+ (* 1/12 (/ 1 x)) (+ (/ 1 (/ 1 x)) 1/2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1/12 (/ 1 x)) (+ (/ 1 (/ 1 x)) 1/2))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (* 1/12 (/ 1 x)) (+ (/ 1 (/ 1 x)) 1/2)))) 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 (+ (* 1/12 (/ 1 x)) (+ (/ 1 (/ 1 x)) 1/2))) in x * [misc]taylor: Taking taylor expansion of (+ (* 1/12 (/ 1 x)) (+ (/ 1 (/ 1 x)) 1/2)) in x * [misc]taylor: Taking taylor expansion of (* 1/12 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (/ 1 x)) 1/2) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* 1/12 1) into 1/12 * [misc]backup-simplify: Simplify (+ 1/12 0) into 1/12 * [misc]backup-simplify: Simplify (log 1/12) into (log 1/12) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log 1/12)) into (- (log 1/12) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log 1/12) (log x))) into (* 1/3 (- (log 1/12) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/12) (log x)))) into (exp (* 1/3 (- (log 1/12) (log x)))) * [misc]taylor: Taking taylor expansion of (cbrt (+ (* 1/12 (/ 1 x)) (+ (/ 1 (/ 1 x)) 1/2))) in x * [misc]taylor: Rewrote expression to (pow (+ (* 1/12 (/ 1 x)) (+ (/ 1 (/ 1 x)) 1/2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1/12 (/ 1 x)) (+ (/ 1 (/ 1 x)) 1/2))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (* 1/12 (/ 1 x)) (+ (/ 1 (/ 1 x)) 1/2)))) 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 (+ (* 1/12 (/ 1 x)) (+ (/ 1 (/ 1 x)) 1/2))) in x * [misc]taylor: Taking taylor expansion of (+ (* 1/12 (/ 1 x)) (+ (/ 1 (/ 1 x)) 1/2)) in x * [misc]taylor: Taking taylor expansion of (* 1/12 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (/ 1 x)) 1/2) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* 1/12 1) into 1/12 * [misc]backup-simplify: Simplify (+ 1/12 0) into 1/12 * [misc]backup-simplify: Simplify (log 1/12) into (log 1/12) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log 1/12)) into (- (log 1/12) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log 1/12) (log x))) into (* 1/3 (- (log 1/12) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/12) (log x)))) into (exp (* 1/3 (- (log 1/12) (log x)))) * [misc]taylor: Taking taylor expansion of (* (cbrt (+ (* 1/12 (/ 1 x)) (+ (/ 1 (/ 1 x)) 1/2))) (cbrt (+ (* 1/12 (/ 1 x)) (+ (/ 1 (/ 1 x)) 1/2)))) in x * [misc]taylor: Taking taylor expansion of (cbrt (+ (* 1/12 (/ 1 x)) (+ (/ 1 (/ 1 x)) 1/2))) in x * [misc]taylor: Rewrote expression to (pow (+ (* 1/12 (/ 1 x)) (+ (/ 1 (/ 1 x)) 1/2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1/12 (/ 1 x)) (+ (/ 1 (/ 1 x)) 1/2))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (* 1/12 (/ 1 x)) (+ (/ 1 (/ 1 x)) 1/2)))) 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 (+ (* 1/12 (/ 1 x)) (+ (/ 1 (/ 1 x)) 1/2))) in x * [misc]taylor: Taking taylor expansion of (+ (* 1/12 (/ 1 x)) (+ (/ 1 (/ 1 x)) 1/2)) in x * [misc]taylor: Taking taylor expansion of (* 1/12 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (/ 1 x)) 1/2) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* 1/12 1) into 1/12 * [misc]backup-simplify: Simplify (+ 1/12 0) into 1/12 * [misc]backup-simplify: Simplify (log 1/12) into (log 1/12) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log 1/12)) into (- (log 1/12) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log 1/12) (log x))) into (* 1/3 (- (log 1/12) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/12) (log x)))) into (exp (* 1/3 (- (log 1/12) (log x)))) * [misc]taylor: Taking taylor expansion of (cbrt (+ (* 1/12 (/ 1 x)) (+ (/ 1 (/ 1 x)) 1/2))) in x * [misc]taylor: Rewrote expression to (pow (+ (* 1/12 (/ 1 x)) (+ (/ 1 (/ 1 x)) 1/2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1/12 (/ 1 x)) (+ (/ 1 (/ 1 x)) 1/2))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (* 1/12 (/ 1 x)) (+ (/ 1 (/ 1 x)) 1/2)))) 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 (+ (* 1/12 (/ 1 x)) (+ (/ 1 (/ 1 x)) 1/2))) in x * [misc]taylor: Taking taylor expansion of (+ (* 1/12 (/ 1 x)) (+ (/ 1 (/ 1 x)) 1/2)) in x * [misc]taylor: Taking taylor expansion of (* 1/12 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (/ 1 x)) 1/2) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* 1/12 1) into 1/12 * [misc]backup-simplify: Simplify (+ 1/12 0) into 1/12 * [misc]backup-simplify: Simplify (log 1/12) into (log 1/12) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log 1/12)) into (- (log 1/12) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log 1/12) (log x))) into (* 1/3 (- (log 1/12) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/12) (log x)))) into (exp (* 1/3 (- (log 1/12) (log x)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/12) (log x)))) (exp (* 1/3 (- (log 1/12) (log x))))) into (pow (exp (* 1/3 (- (log 1/12) (log x)))) 2) * [misc]backup-simplify: Simplify (pow (exp (* 1/3 (- (log 1/12) (log x)))) 2) into (pow (exp (* 1/3 (- (log 1/12) (log x)))) 2) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow 1/12 1)))) 1) into 6 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log 1/12)) into (- (log 1/12) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 6) (* 0 (- (log 1/12) (log x)))) into 2 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/12) (log x)))) (+ (* (/ (pow 2 1) 1)))) into (* 2 (exp (* 1/3 (- (log 1/12) (log x))))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow 1/12 1)))) 1) into 6 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log 1/12)) into (- (log 1/12) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 6) (* 0 (- (log 1/12) (log x)))) into 2 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/12) (log x)))) (+ (* (/ (pow 2 1) 1)))) into (* 2 (exp (* 1/3 (- (log 1/12) (log x))))) * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (- (log 1/12) (log x)))) (* 2 (exp (* 1/3 (- (log 1/12) (log x)))))) (* (* 2 (exp (* 1/3 (- (log 1/12) (log x))))) (exp (* 1/3 (- (log 1/12) (log x)))))) into (* 4 (pow (exp (* 1/3 (- (log 1/12) (log x)))) 2)) * [misc]backup-simplify: Simplify (* 4 (pow (exp (* 1/3 (- (log 1/12) (log x)))) 2)) into (* 4 (pow (exp (* 1/3 (- (log 1/12) (log x)))) 2)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow 1/12 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1/12 1)))) 2) into -6 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log 1/12)) into (- (log 1/12) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 -6) (+ (* 0 6) (* 0 (- (log 1/12) (log x))))) into (- 2) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/12) (log x)))) (+ (* (/ (pow 2 2) 2)) (* (/ (pow (- 2) 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow 1/12 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1/12 1)))) 2) into -6 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log 1/12)) into (- (log 1/12) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 -6) (+ (* 0 6) (* 0 (- (log 1/12) (log x))))) into (- 2) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/12) (log x)))) (+ (* (/ (pow 2 2) 2)) (* (/ (pow (- 2) 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (- (log 1/12) (log x)))) 0) (+ (* (* 2 (exp (* 1/3 (- (log 1/12) (log x))))) (* 2 (exp (* 1/3 (- (log 1/12) (log x)))))) (* 0 (exp (* 1/3 (- (log 1/12) (log x))))))) into (* 4 (pow (exp (* 1/3 (- (log 1/12) (log x)))) 2)) * [misc]backup-simplify: Simplify (* 4 (pow (exp (* 1/3 (- (log 1/12) (log x)))) 2)) into (* 4 (pow (exp (* 1/3 (- (log 1/12) (log x)))) 2)) * [misc]backup-simplify: Simplify (+ (* (* 4 (pow (exp (* 1/3 (- (log 1/12) (log (/ 1 x))))) 2)) (pow (/ 1 x) 2)) (+ (* (* 4 (pow (exp (* 1/3 (- (log 1/12) (log (/ 1 x))))) 2)) (/ 1 x)) (pow (exp (* 1/3 (- (log 1/12) (log (/ 1 x))))) 2))) into (+ (pow (exp (* 1/3 (- (log 1/12) (log (/ 1 x))))) 2) (+ (* 4 (/ (pow (exp (* 1/3 (- (log 1/12) (log (/ 1 x))))) 2) (pow x 2))) (* 4 (/ (pow (exp (* 1/3 (- (log 1/12) (log (/ 1 x))))) 2) x)))) * [misc]approximate: Taking taylor expansion of (* (cbrt (+ (* 1/12 (/ 1 (- x))) (+ (/ 1 (/ 1 (- x))) 1/2))) (cbrt (+ (* 1/12 (/ 1 (- x))) (+ (/ 1 (/ 1 (- x))) 1/2)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (cbrt (+ (* 1/12 (/ 1 (- x))) (+ (/ 1 (/ 1 (- x))) 1/2))) (cbrt (+ (* 1/12 (/ 1 (- x))) (+ (/ 1 (/ 1 (- x))) 1/2)))) in x * [misc]taylor: Taking taylor expansion of (cbrt (+ (* 1/12 (/ 1 (- x))) (+ (/ 1 (/ 1 (- x))) 1/2))) in x * [misc]taylor: Rewrote expression to (pow (+ (* 1/12 (/ 1 (- x))) (+ (/ 1 (/ 1 (- x))) 1/2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1/12 (/ 1 (- x))) (+ (/ 1 (/ 1 (- x))) 1/2))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (* 1/12 (/ 1 (- x))) (+ (/ 1 (/ 1 (- x))) 1/2)))) 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 (+ (* 1/12 (/ 1 (- x))) (+ (/ 1 (/ 1 (- x))) 1/2))) in x * [misc]taylor: Taking taylor expansion of (+ (* 1/12 (/ 1 (- x))) (+ (/ 1 (/ 1 (- x))) 1/2)) in x * [misc]taylor: Taking taylor expansion of (* 1/12 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (/ 1 (- x))) 1/2) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* 1/12 -1) into -1/12 * [misc]backup-simplify: Simplify (+ -1/12 0) into -1/12 * [misc]backup-simplify: Simplify (log -1/12) into (log -1/12) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1/12)) into (- (log -1/12) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1/12) (log x))) into (* 1/3 (- (log -1/12) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1/12) (log x)))) into (exp (* 1/3 (- (log -1/12) (log x)))) * [misc]taylor: Taking taylor expansion of (cbrt (+ (* 1/12 (/ 1 (- x))) (+ (/ 1 (/ 1 (- x))) 1/2))) in x * [misc]taylor: Rewrote expression to (pow (+ (* 1/12 (/ 1 (- x))) (+ (/ 1 (/ 1 (- x))) 1/2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1/12 (/ 1 (- x))) (+ (/ 1 (/ 1 (- x))) 1/2))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (* 1/12 (/ 1 (- x))) (+ (/ 1 (/ 1 (- x))) 1/2)))) 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 (+ (* 1/12 (/ 1 (- x))) (+ (/ 1 (/ 1 (- x))) 1/2))) in x * [misc]taylor: Taking taylor expansion of (+ (* 1/12 (/ 1 (- x))) (+ (/ 1 (/ 1 (- x))) 1/2)) in x * [misc]taylor: Taking taylor expansion of (* 1/12 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (/ 1 (- x))) 1/2) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* 1/12 -1) into -1/12 * [misc]backup-simplify: Simplify (+ -1/12 0) into -1/12 * [misc]backup-simplify: Simplify (log -1/12) into (log -1/12) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1/12)) into (- (log -1/12) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1/12) (log x))) into (* 1/3 (- (log -1/12) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1/12) (log x)))) into (exp (* 1/3 (- (log -1/12) (log x)))) * [misc]taylor: Taking taylor expansion of (* (cbrt (+ (* 1/12 (/ 1 (- x))) (+ (/ 1 (/ 1 (- x))) 1/2))) (cbrt (+ (* 1/12 (/ 1 (- x))) (+ (/ 1 (/ 1 (- x))) 1/2)))) in x * [misc]taylor: Taking taylor expansion of (cbrt (+ (* 1/12 (/ 1 (- x))) (+ (/ 1 (/ 1 (- x))) 1/2))) in x * [misc]taylor: Rewrote expression to (pow (+ (* 1/12 (/ 1 (- x))) (+ (/ 1 (/ 1 (- x))) 1/2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1/12 (/ 1 (- x))) (+ (/ 1 (/ 1 (- x))) 1/2))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (* 1/12 (/ 1 (- x))) (+ (/ 1 (/ 1 (- x))) 1/2)))) 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 (+ (* 1/12 (/ 1 (- x))) (+ (/ 1 (/ 1 (- x))) 1/2))) in x * [misc]taylor: Taking taylor expansion of (+ (* 1/12 (/ 1 (- x))) (+ (/ 1 (/ 1 (- x))) 1/2)) in x * [misc]taylor: Taking taylor expansion of (* 1/12 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (/ 1 (- x))) 1/2) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* 1/12 -1) into -1/12 * [misc]backup-simplify: Simplify (+ -1/12 0) into -1/12 * [misc]backup-simplify: Simplify (log -1/12) into (log -1/12) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1/12)) into (- (log -1/12) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1/12) (log x))) into (* 1/3 (- (log -1/12) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1/12) (log x)))) into (exp (* 1/3 (- (log -1/12) (log x)))) * [misc]taylor: Taking taylor expansion of (cbrt (+ (* 1/12 (/ 1 (- x))) (+ (/ 1 (/ 1 (- x))) 1/2))) in x * [misc]taylor: Rewrote expression to (pow (+ (* 1/12 (/ 1 (- x))) (+ (/ 1 (/ 1 (- x))) 1/2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1/12 (/ 1 (- x))) (+ (/ 1 (/ 1 (- x))) 1/2))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (* 1/12 (/ 1 (- x))) (+ (/ 1 (/ 1 (- x))) 1/2)))) 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 (+ (* 1/12 (/ 1 (- x))) (+ (/ 1 (/ 1 (- x))) 1/2))) in x * [misc]taylor: Taking taylor expansion of (+ (* 1/12 (/ 1 (- x))) (+ (/ 1 (/ 1 (- x))) 1/2)) in x * [misc]taylor: Taking taylor expansion of (* 1/12 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (/ 1 (- x))) 1/2) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* 1/12 -1) into -1/12 * [misc]backup-simplify: Simplify (+ -1/12 0) into -1/12 * [misc]backup-simplify: Simplify (log -1/12) into (log -1/12) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1/12)) into (- (log -1/12) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1/12) (log x))) into (* 1/3 (- (log -1/12) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1/12) (log x)))) into (exp (* 1/3 (- (log -1/12) (log x)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1/12) (log x)))) (exp (* 1/3 (- (log -1/12) (log x))))) into (pow (exp (* 1/3 (- (log -1/12) (log x)))) 2) * [misc]backup-simplify: Simplify (pow (exp (* 1/3 (- (log -1/12) (log x)))) 2) into (pow (exp (* 1/3 (- (log -1/12) (log x)))) 2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow -1/12 1)))) 1) into -6 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1/12)) into (- (log -1/12) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 -6) (* 0 (- (log -1/12) (log x)))) into (- 2) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1/12) (log x)))) (+ (* (/ (pow (- 2) 1) 1)))) into (* -2 (exp (* 1/3 (- (log -1/12) (log x))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow -1/12 1)))) 1) into -6 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1/12)) into (- (log -1/12) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 -6) (* 0 (- (log -1/12) (log x)))) into (- 2) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1/12) (log x)))) (+ (* (/ (pow (- 2) 1) 1)))) into (* -2 (exp (* 1/3 (- (log -1/12) (log x))))) * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (- (log -1/12) (log x)))) (* -2 (exp (* 1/3 (- (log -1/12) (log x)))))) (* (* -2 (exp (* 1/3 (- (log -1/12) (log x))))) (exp (* 1/3 (- (log -1/12) (log x)))))) into (- (* 4 (pow (exp (* 1/3 (- (log -1/12) (log x)))) 2))) * [misc]backup-simplify: Simplify (- (* 4 (pow (exp (* 1/3 (- (log -1/12) (log x)))) 2))) into (- (* 4 (pow (exp (* 1/3 (- (log -1/12) (log x)))) 2))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow -1/12 2))) (* 1 (/ (* 1 (pow (* 2 -1) 1)) (pow -1/12 1)))) 2) into -6 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1/12)) into (- (log -1/12) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 -6) (+ (* 0 -6) (* 0 (- (log -1/12) (log x))))) into (- 2) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1/12) (log x)))) (+ (* (/ (pow (- 2) 2) 2)) (* (/ (pow (- 2) 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow -1/12 2))) (* 1 (/ (* 1 (pow (* 2 -1) 1)) (pow -1/12 1)))) 2) into -6 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1/12)) into (- (log -1/12) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 -6) (+ (* 0 -6) (* 0 (- (log -1/12) (log x))))) into (- 2) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1/12) (log x)))) (+ (* (/ (pow (- 2) 2) 2)) (* (/ (pow (- 2) 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (- (log -1/12) (log x)))) 0) (+ (* (* -2 (exp (* 1/3 (- (log -1/12) (log x))))) (* -2 (exp (* 1/3 (- (log -1/12) (log x)))))) (* 0 (exp (* 1/3 (- (log -1/12) (log x))))))) into (* 4 (pow (exp (* 1/3 (- (log -1/12) (log x)))) 2)) * [misc]backup-simplify: Simplify (* 4 (pow (exp (* 1/3 (- (log -1/12) (log x)))) 2)) into (* 4 (pow (exp (* 1/3 (- (log -1/12) (log x)))) 2)) * [misc]backup-simplify: Simplify (+ (* (* 4 (pow (exp (* 1/3 (- (log -1/12) (log (/ 1 (- x)))))) 2)) (pow (/ 1 (- x)) 2)) (+ (* (- (* 4 (pow (exp (* 1/3 (- (log -1/12) (log (/ 1 (- x)))))) 2))) (/ 1 (- x))) (pow (exp (* 1/3 (- (log -1/12) (log (/ 1 (- x)))))) 2))) into (+ (* 4 (/ (pow (exp (* 1/3 (- (log -1/12) (log (/ -1 x))))) 2) (pow x 2))) (+ (* 4 (/ (pow (exp (* 1/3 (- (log -1/12) (log (/ -1 x))))) 2) x)) (pow (exp (* 1/3 (- (log -1/12) (log (/ -1 x))))) 2))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2))) in x * [misc]taylor: Rewrote expression to (pow (+ (* 1/12 x) (+ (/ 1 x) 1/2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1/12 x) (+ (/ 1 x) 1/2))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (* 1/12 x) (+ (/ 1 x) 1/2)))) 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 (+ (* 1/12 x) (+ (/ 1 x) 1/2))) in x * [misc]taylor: Taking taylor expansion of (+ (* 1/12 x) (+ (/ 1 x) 1/2)) in x * [misc]taylor: Taking taylor expansion of (* 1/12 x) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) 1/2) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log x))) into (* -1/3 (log x)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log x))) into (pow x -1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2))) in x * [misc]taylor: Rewrote expression to (pow (+ (* 1/12 x) (+ (/ 1 x) 1/2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1/12 x) (+ (/ 1 x) 1/2))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (* 1/12 x) (+ (/ 1 x) 1/2)))) 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 (+ (* 1/12 x) (+ (/ 1 x) 1/2))) in x * [misc]taylor: Taking taylor expansion of (+ (* 1/12 x) (+ (/ 1 x) 1/2)) in x * [misc]taylor: Taking taylor expansion of (* 1/12 x) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) 1/2) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log x))) into (* -1/3 (log x)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log x))) into (pow x -1/3) * [misc]backup-simplify: Simplify (pow x -1/3) into (pow x -1/3) * [misc]backup-simplify: Simplify (* 1/12 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow 1 1)))) 1) into 1/2 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 1/2) (* 0 (- (log x)))) into 1/6 * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log x))) (+ (* (/ (pow 1/6 1) 1)))) into (* 1/6 (pow (/ 1 x) 1/3)) * [misc]backup-simplify: Simplify (* 1/6 (pow (/ 1 x) 1/3)) into (* 1/6 (pow (/ 1 x) 1/3)) * [misc]backup-simplify: Simplify (+ (* 1/12 1) (* 0 0)) into 1/12 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 1/12 0) into 1/12 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1/12) 1)) (pow 1 1)))) 2) into -1/24 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 -1/24) (+ (* 0 1/2) (* 0 (- (log x))))) into (- 1/72) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log x))) (+ (* (/ (pow 1/6 2) 2)) (* (/ (pow (- 1/72) 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1/2) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1/2) 1) (pow (* 2 1/12) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 -1/24) (+ (* 0 1/2) (* 0 (- (log x)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log x))) (+ (* (/ (pow 1/6 3) 6)) (* (/ (pow 1/6 1) 1) (/ (pow (- 1/72) 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/648 (pow (/ 1 x) 1/3)) * [misc]backup-simplify: Simplify (* -1/648 (pow (/ 1 x) 1/3)) into (* -1/648 (pow (/ 1 x) 1/3)) * [misc]backup-simplify: Simplify (+ (* (* -1/648 (pow (/ 1 x) 1/3)) (pow x 3)) (+ (* (* 1/6 (pow (/ 1 x) 1/3)) x) (pow x -1/3))) into (- (+ (* 1/6 (pow (pow x 2) 1/3)) (pow x -1/3)) (* 1/648 (pow (pow x 8) 1/3))) * [misc]approximate: Taking taylor expansion of (cbrt (+ (* 1/12 (/ 1 x)) (+ (/ 1 (/ 1 x)) 1/2))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ (* 1/12 (/ 1 x)) (+ (/ 1 (/ 1 x)) 1/2))) in x * [misc]taylor: Rewrote expression to (pow (+ (* 1/12 (/ 1 x)) (+ (/ 1 (/ 1 x)) 1/2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1/12 (/ 1 x)) (+ (/ 1 (/ 1 x)) 1/2))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (* 1/12 (/ 1 x)) (+ (/ 1 (/ 1 x)) 1/2)))) 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 (+ (* 1/12 (/ 1 x)) (+ (/ 1 (/ 1 x)) 1/2))) in x * [misc]taylor: Taking taylor expansion of (+ (* 1/12 (/ 1 x)) (+ (/ 1 (/ 1 x)) 1/2)) in x * [misc]taylor: Taking taylor expansion of (* 1/12 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (/ 1 x)) 1/2) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* 1/12 1) into 1/12 * [misc]backup-simplify: Simplify (+ 1/12 0) into 1/12 * [misc]backup-simplify: Simplify (log 1/12) into (log 1/12) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log 1/12)) into (- (log 1/12) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log 1/12) (log x))) into (* 1/3 (- (log 1/12) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/12) (log x)))) into (exp (* 1/3 (- (log 1/12) (log x)))) * [misc]taylor: Taking taylor expansion of (cbrt (+ (* 1/12 (/ 1 x)) (+ (/ 1 (/ 1 x)) 1/2))) in x * [misc]taylor: Rewrote expression to (pow (+ (* 1/12 (/ 1 x)) (+ (/ 1 (/ 1 x)) 1/2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1/12 (/ 1 x)) (+ (/ 1 (/ 1 x)) 1/2))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (* 1/12 (/ 1 x)) (+ (/ 1 (/ 1 x)) 1/2)))) 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 (+ (* 1/12 (/ 1 x)) (+ (/ 1 (/ 1 x)) 1/2))) in x * [misc]taylor: Taking taylor expansion of (+ (* 1/12 (/ 1 x)) (+ (/ 1 (/ 1 x)) 1/2)) in x * [misc]taylor: Taking taylor expansion of (* 1/12 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (/ 1 x)) 1/2) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* 1/12 1) into 1/12 * [misc]backup-simplify: Simplify (+ 1/12 0) into 1/12 * [misc]backup-simplify: Simplify (log 1/12) into (log 1/12) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log 1/12)) into (- (log 1/12) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log 1/12) (log x))) into (* 1/3 (- (log 1/12) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/12) (log x)))) into (exp (* 1/3 (- (log 1/12) (log x)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/12) (log x)))) into (exp (* 1/3 (- (log 1/12) (log x)))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow 1/12 1)))) 1) into 6 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log 1/12)) into (- (log 1/12) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 6) (* 0 (- (log 1/12) (log x)))) into 2 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/12) (log x)))) (+ (* (/ (pow 2 1) 1)))) into (* 2 (exp (* 1/3 (- (log 1/12) (log x))))) * [misc]backup-simplify: Simplify (* 2 (exp (* 1/3 (- (log 1/12) (log x))))) into (* 2 (exp (* 1/3 (- (log 1/12) (log x))))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow 1/12 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1/12 1)))) 2) into -6 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log 1/12)) into (- (log 1/12) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 -6) (+ (* 0 6) (* 0 (- (log 1/12) (log x))))) into (- 2) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/12) (log x)))) (+ (* (/ (pow 2 2) 2)) (* (/ (pow (- 2) 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1/2) 3)) (pow 1/12 3))) (* -3 (/ (* (pow (* 1 1/2) 1) (pow (* 2 1) 1)) (pow 1/12 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1/12 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log 1/12)) into (- (log 1/12) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 -6) (+ (* 0 6) (* 0 (- (log 1/12) (log x)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/12) (log x)))) (+ (* (/ (pow 2 3) 6)) (* (/ (pow 2 1) 1) (/ (pow (- 2) 1) 1)) (* (/ (pow 0 1) 1)))) into (* -8/3 (exp (* 1/3 (- (log 1/12) (log x))))) * [misc]backup-simplify: Simplify (* -8/3 (exp (* 1/3 (- (log 1/12) (log x))))) into (* -8/3 (exp (* 1/3 (- (log 1/12) (log x))))) * [misc]backup-simplify: Simplify (+ (* (* -8/3 (exp (* 1/3 (- (log 1/12) (log (/ 1 x)))))) (pow (/ 1 x) 3)) (+ (* (* 2 (exp (* 1/3 (- (log 1/12) (log (/ 1 x)))))) (/ 1 x)) (exp (* 1/3 (- (log 1/12) (log (/ 1 x))))))) into (- (+ (exp (* 1/3 (- (log 1/12) (log (/ 1 x))))) (* 2 (/ (exp (* 1/3 (- (log 1/12) (log (/ 1 x))))) x))) (* 8/3 (/ (exp (* 1/3 (- (log 1/12) (log (/ 1 x))))) (pow x 3)))) * [misc]approximate: Taking taylor expansion of (cbrt (+ (* 1/12 (/ 1 (- x))) (+ (/ 1 (/ 1 (- x))) 1/2))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ (* 1/12 (/ 1 (- x))) (+ (/ 1 (/ 1 (- x))) 1/2))) in x * [misc]taylor: Rewrote expression to (pow (+ (* 1/12 (/ 1 (- x))) (+ (/ 1 (/ 1 (- x))) 1/2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1/12 (/ 1 (- x))) (+ (/ 1 (/ 1 (- x))) 1/2))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (* 1/12 (/ 1 (- x))) (+ (/ 1 (/ 1 (- x))) 1/2)))) 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 (+ (* 1/12 (/ 1 (- x))) (+ (/ 1 (/ 1 (- x))) 1/2))) in x * [misc]taylor: Taking taylor expansion of (+ (* 1/12 (/ 1 (- x))) (+ (/ 1 (/ 1 (- x))) 1/2)) in x * [misc]taylor: Taking taylor expansion of (* 1/12 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (/ 1 (- x))) 1/2) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* 1/12 -1) into -1/12 * [misc]backup-simplify: Simplify (+ -1/12 0) into -1/12 * [misc]backup-simplify: Simplify (log -1/12) into (log -1/12) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1/12)) into (- (log -1/12) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1/12) (log x))) into (* 1/3 (- (log -1/12) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1/12) (log x)))) into (exp (* 1/3 (- (log -1/12) (log x)))) * [misc]taylor: Taking taylor expansion of (cbrt (+ (* 1/12 (/ 1 (- x))) (+ (/ 1 (/ 1 (- x))) 1/2))) in x * [misc]taylor: Rewrote expression to (pow (+ (* 1/12 (/ 1 (- x))) (+ (/ 1 (/ 1 (- x))) 1/2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1/12 (/ 1 (- x))) (+ (/ 1 (/ 1 (- x))) 1/2))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (* 1/12 (/ 1 (- x))) (+ (/ 1 (/ 1 (- x))) 1/2)))) 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 (+ (* 1/12 (/ 1 (- x))) (+ (/ 1 (/ 1 (- x))) 1/2))) in x * [misc]taylor: Taking taylor expansion of (+ (* 1/12 (/ 1 (- x))) (+ (/ 1 (/ 1 (- x))) 1/2)) in x * [misc]taylor: Taking taylor expansion of (* 1/12 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (/ 1 (- x))) 1/2) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* 1/12 -1) into -1/12 * [misc]backup-simplify: Simplify (+ -1/12 0) into -1/12 * [misc]backup-simplify: Simplify (log -1/12) into (log -1/12) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1/12)) into (- (log -1/12) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1/12) (log x))) into (* 1/3 (- (log -1/12) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1/12) (log x)))) into (exp (* 1/3 (- (log -1/12) (log x)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1/12) (log x)))) into (exp (* 1/3 (- (log -1/12) (log x)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow -1/12 1)))) 1) into -6 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1/12)) into (- (log -1/12) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 -6) (* 0 (- (log -1/12) (log x)))) into (- 2) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1/12) (log x)))) (+ (* (/ (pow (- 2) 1) 1)))) into (* -2 (exp (* 1/3 (- (log -1/12) (log x))))) * [misc]backup-simplify: Simplify (* -2 (exp (* 1/3 (- (log -1/12) (log x))))) into (* -2 (exp (* 1/3 (- (log -1/12) (log 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 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow -1/12 2))) (* 1 (/ (* 1 (pow (* 2 -1) 1)) (pow -1/12 1)))) 2) into -6 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1/12)) into (- (log -1/12) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 -6) (+ (* 0 -6) (* 0 (- (log -1/12) (log x))))) into (- 2) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1/12) (log x)))) (+ (* (/ (pow (- 2) 2) 2)) (* (/ (pow (- 2) 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1/2) 3)) (pow -1/12 3))) (* -3 (/ (* (pow (* 1 1/2) 1) (pow (* 2 -1) 1)) (pow -1/12 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1/12 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1/12)) into (- (log -1/12) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 -6) (+ (* 0 -6) (* 0 (- (log -1/12) (log x)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1/12) (log x)))) (+ (* (/ (pow (- 2) 3) 6)) (* (/ (pow (- 2) 1) 1) (/ (pow (- 2) 1) 1)) (* (/ (pow 0 1) 1)))) into (* 8/3 (exp (* 1/3 (- (log -1/12) (log x))))) * [misc]backup-simplify: Simplify (* 8/3 (exp (* 1/3 (- (log -1/12) (log x))))) into (* 8/3 (exp (* 1/3 (- (log -1/12) (log x))))) * [misc]backup-simplify: Simplify (+ (* (* 8/3 (exp (* 1/3 (- (log -1/12) (log (/ 1 (- x))))))) (pow (/ 1 (- x)) 3)) (+ (* (* -2 (exp (* 1/3 (- (log -1/12) (log (/ 1 (- x))))))) (/ 1 (- x))) (exp (* 1/3 (- (log -1/12) (log (/ 1 (- x)))))))) into (- (+ (exp (* 1/3 (- (log -1/12) (log (/ -1 x))))) (* 2 (/ (exp (* 1/3 (- (log -1/12) (log (/ -1 x))))) x))) (* 8/3 (/ (exp (* 1/3 (- (log -1/12) (log (/ -1 x))))) (pow x 3)))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 2) * [misc]approximate: Taking taylor expansion of (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2))) in x * [misc]taylor: Rewrote expression to (pow (+ (* 1/12 x) (+ (/ 1 x) 1/2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1/12 x) (+ (/ 1 x) 1/2))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (* 1/12 x) (+ (/ 1 x) 1/2)))) 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 (+ (* 1/12 x) (+ (/ 1 x) 1/2))) in x * [misc]taylor: Taking taylor expansion of (+ (* 1/12 x) (+ (/ 1 x) 1/2)) in x * [misc]taylor: Taking taylor expansion of (* 1/12 x) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) 1/2) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log x))) into (* -1/3 (log x)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log x))) into (pow x -1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2))) in x * [misc]taylor: Rewrote expression to (pow (+ (* 1/12 x) (+ (/ 1 x) 1/2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1/12 x) (+ (/ 1 x) 1/2))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (* 1/12 x) (+ (/ 1 x) 1/2)))) 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 (+ (* 1/12 x) (+ (/ 1 x) 1/2))) in x * [misc]taylor: Taking taylor expansion of (+ (* 1/12 x) (+ (/ 1 x) 1/2)) in x * [misc]taylor: Taking taylor expansion of (* 1/12 x) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) 1/2) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log x))) into (* -1/3 (log x)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log x))) into (pow x -1/3) * [misc]backup-simplify: Simplify (pow x -1/3) into (pow x -1/3) * [misc]backup-simplify: Simplify (* 1/12 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow 1 1)))) 1) into 1/2 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 1/2) (* 0 (- (log x)))) into 1/6 * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log x))) (+ (* (/ (pow 1/6 1) 1)))) into (* 1/6 (pow (/ 1 x) 1/3)) * [misc]backup-simplify: Simplify (* 1/6 (pow (/ 1 x) 1/3)) into (* 1/6 (pow (/ 1 x) 1/3)) * [misc]backup-simplify: Simplify (+ (* 1/12 1) (* 0 0)) into 1/12 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 1/12 0) into 1/12 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1/12) 1)) (pow 1 1)))) 2) into -1/24 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 -1/24) (+ (* 0 1/2) (* 0 (- (log x))))) into (- 1/72) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log x))) (+ (* (/ (pow 1/6 2) 2)) (* (/ (pow (- 1/72) 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1/2) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1/2) 1) (pow (* 2 1/12) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 -1/24) (+ (* 0 1/2) (* 0 (- (log x)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log x))) (+ (* (/ (pow 1/6 3) 6)) (* (/ (pow 1/6 1) 1) (/ (pow (- 1/72) 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/648 (pow (/ 1 x) 1/3)) * [misc]backup-simplify: Simplify (* -1/648 (pow (/ 1 x) 1/3)) into (* -1/648 (pow (/ 1 x) 1/3)) * [misc]backup-simplify: Simplify (+ (* (* -1/648 (pow (/ 1 x) 1/3)) (pow x 3)) (+ (* (* 1/6 (pow (/ 1 x) 1/3)) x) (pow x -1/3))) into (- (+ (* 1/6 (pow (pow x 2) 1/3)) (pow x -1/3)) (* 1/648 (pow (pow x 8) 1/3))) * [misc]approximate: Taking taylor expansion of (cbrt (+ (* 1/12 (/ 1 x)) (+ (/ 1 (/ 1 x)) 1/2))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ (* 1/12 (/ 1 x)) (+ (/ 1 (/ 1 x)) 1/2))) in x * [misc]taylor: Rewrote expression to (pow (+ (* 1/12 (/ 1 x)) (+ (/ 1 (/ 1 x)) 1/2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1/12 (/ 1 x)) (+ (/ 1 (/ 1 x)) 1/2))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (* 1/12 (/ 1 x)) (+ (/ 1 (/ 1 x)) 1/2)))) 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 (+ (* 1/12 (/ 1 x)) (+ (/ 1 (/ 1 x)) 1/2))) in x * [misc]taylor: Taking taylor expansion of (+ (* 1/12 (/ 1 x)) (+ (/ 1 (/ 1 x)) 1/2)) in x * [misc]taylor: Taking taylor expansion of (* 1/12 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (/ 1 x)) 1/2) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* 1/12 1) into 1/12 * [misc]backup-simplify: Simplify (+ 1/12 0) into 1/12 * [misc]backup-simplify: Simplify (log 1/12) into (log 1/12) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log 1/12)) into (- (log 1/12) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log 1/12) (log x))) into (* 1/3 (- (log 1/12) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/12) (log x)))) into (exp (* 1/3 (- (log 1/12) (log x)))) * [misc]taylor: Taking taylor expansion of (cbrt (+ (* 1/12 (/ 1 x)) (+ (/ 1 (/ 1 x)) 1/2))) in x * [misc]taylor: Rewrote expression to (pow (+ (* 1/12 (/ 1 x)) (+ (/ 1 (/ 1 x)) 1/2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1/12 (/ 1 x)) (+ (/ 1 (/ 1 x)) 1/2))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (* 1/12 (/ 1 x)) (+ (/ 1 (/ 1 x)) 1/2)))) 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 (+ (* 1/12 (/ 1 x)) (+ (/ 1 (/ 1 x)) 1/2))) in x * [misc]taylor: Taking taylor expansion of (+ (* 1/12 (/ 1 x)) (+ (/ 1 (/ 1 x)) 1/2)) in x * [misc]taylor: Taking taylor expansion of (* 1/12 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (/ 1 x)) 1/2) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* 1/12 1) into 1/12 * [misc]backup-simplify: Simplify (+ 1/12 0) into 1/12 * [misc]backup-simplify: Simplify (log 1/12) into (log 1/12) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log 1/12)) into (- (log 1/12) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log 1/12) (log x))) into (* 1/3 (- (log 1/12) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/12) (log x)))) into (exp (* 1/3 (- (log 1/12) (log x)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/12) (log x)))) into (exp (* 1/3 (- (log 1/12) (log x)))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow 1/12 1)))) 1) into 6 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log 1/12)) into (- (log 1/12) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 6) (* 0 (- (log 1/12) (log x)))) into 2 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/12) (log x)))) (+ (* (/ (pow 2 1) 1)))) into (* 2 (exp (* 1/3 (- (log 1/12) (log x))))) * [misc]backup-simplify: Simplify (* 2 (exp (* 1/3 (- (log 1/12) (log x))))) into (* 2 (exp (* 1/3 (- (log 1/12) (log x))))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow 1/12 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1/12 1)))) 2) into -6 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log 1/12)) into (- (log 1/12) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 -6) (+ (* 0 6) (* 0 (- (log 1/12) (log x))))) into (- 2) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/12) (log x)))) (+ (* (/ (pow 2 2) 2)) (* (/ (pow (- 2) 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1/2) 3)) (pow 1/12 3))) (* -3 (/ (* (pow (* 1 1/2) 1) (pow (* 2 1) 1)) (pow 1/12 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1/12 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log 1/12)) into (- (log 1/12) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 -6) (+ (* 0 6) (* 0 (- (log 1/12) (log x)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/12) (log x)))) (+ (* (/ (pow 2 3) 6)) (* (/ (pow 2 1) 1) (/ (pow (- 2) 1) 1)) (* (/ (pow 0 1) 1)))) into (* -8/3 (exp (* 1/3 (- (log 1/12) (log x))))) * [misc]backup-simplify: Simplify (* -8/3 (exp (* 1/3 (- (log 1/12) (log x))))) into (* -8/3 (exp (* 1/3 (- (log 1/12) (log x))))) * [misc]backup-simplify: Simplify (+ (* (* -8/3 (exp (* 1/3 (- (log 1/12) (log (/ 1 x)))))) (pow (/ 1 x) 3)) (+ (* (* 2 (exp (* 1/3 (- (log 1/12) (log (/ 1 x)))))) (/ 1 x)) (exp (* 1/3 (- (log 1/12) (log (/ 1 x))))))) into (- (+ (exp (* 1/3 (- (log 1/12) (log (/ 1 x))))) (* 2 (/ (exp (* 1/3 (- (log 1/12) (log (/ 1 x))))) x))) (* 8/3 (/ (exp (* 1/3 (- (log 1/12) (log (/ 1 x))))) (pow x 3)))) * [misc]approximate: Taking taylor expansion of (cbrt (+ (* 1/12 (/ 1 (- x))) (+ (/ 1 (/ 1 (- x))) 1/2))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ (* 1/12 (/ 1 (- x))) (+ (/ 1 (/ 1 (- x))) 1/2))) in x * [misc]taylor: Rewrote expression to (pow (+ (* 1/12 (/ 1 (- x))) (+ (/ 1 (/ 1 (- x))) 1/2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1/12 (/ 1 (- x))) (+ (/ 1 (/ 1 (- x))) 1/2))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (* 1/12 (/ 1 (- x))) (+ (/ 1 (/ 1 (- x))) 1/2)))) 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 (+ (* 1/12 (/ 1 (- x))) (+ (/ 1 (/ 1 (- x))) 1/2))) in x * [misc]taylor: Taking taylor expansion of (+ (* 1/12 (/ 1 (- x))) (+ (/ 1 (/ 1 (- x))) 1/2)) in x * [misc]taylor: Taking taylor expansion of (* 1/12 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (/ 1 (- x))) 1/2) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* 1/12 -1) into -1/12 * [misc]backup-simplify: Simplify (+ -1/12 0) into -1/12 * [misc]backup-simplify: Simplify (log -1/12) into (log -1/12) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1/12)) into (- (log -1/12) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1/12) (log x))) into (* 1/3 (- (log -1/12) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1/12) (log x)))) into (exp (* 1/3 (- (log -1/12) (log x)))) * [misc]taylor: Taking taylor expansion of (cbrt (+ (* 1/12 (/ 1 (- x))) (+ (/ 1 (/ 1 (- x))) 1/2))) in x * [misc]taylor: Rewrote expression to (pow (+ (* 1/12 (/ 1 (- x))) (+ (/ 1 (/ 1 (- x))) 1/2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1/12 (/ 1 (- x))) (+ (/ 1 (/ 1 (- x))) 1/2))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (* 1/12 (/ 1 (- x))) (+ (/ 1 (/ 1 (- x))) 1/2)))) 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 (+ (* 1/12 (/ 1 (- x))) (+ (/ 1 (/ 1 (- x))) 1/2))) in x * [misc]taylor: Taking taylor expansion of (+ (* 1/12 (/ 1 (- x))) (+ (/ 1 (/ 1 (- x))) 1/2)) in x * [misc]taylor: Taking taylor expansion of (* 1/12 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (/ 1 (- x))) 1/2) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* 1/12 -1) into -1/12 * [misc]backup-simplify: Simplify (+ -1/12 0) into -1/12 * [misc]backup-simplify: Simplify (log -1/12) into (log -1/12) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1/12)) into (- (log -1/12) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1/12) (log x))) into (* 1/3 (- (log -1/12) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1/12) (log x)))) into (exp (* 1/3 (- (log -1/12) (log x)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1/12) (log x)))) into (exp (* 1/3 (- (log -1/12) (log x)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow -1/12 1)))) 1) into -6 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1/12)) into (- (log -1/12) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 -6) (* 0 (- (log -1/12) (log x)))) into (- 2) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1/12) (log x)))) (+ (* (/ (pow (- 2) 1) 1)))) into (* -2 (exp (* 1/3 (- (log -1/12) (log x))))) * [misc]backup-simplify: Simplify (* -2 (exp (* 1/3 (- (log -1/12) (log x))))) into (* -2 (exp (* 1/3 (- (log -1/12) (log 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 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow -1/12 2))) (* 1 (/ (* 1 (pow (* 2 -1) 1)) (pow -1/12 1)))) 2) into -6 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1/12)) into (- (log -1/12) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 -6) (+ (* 0 -6) (* 0 (- (log -1/12) (log x))))) into (- 2) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1/12) (log x)))) (+ (* (/ (pow (- 2) 2) 2)) (* (/ (pow (- 2) 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1/2) 3)) (pow -1/12 3))) (* -3 (/ (* (pow (* 1 1/2) 1) (pow (* 2 -1) 1)) (pow -1/12 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1/12 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1/12)) into (- (log -1/12) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 -6) (+ (* 0 -6) (* 0 (- (log -1/12) (log x)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1/12) (log x)))) (+ (* (/ (pow (- 2) 3) 6)) (* (/ (pow (- 2) 1) 1) (/ (pow (- 2) 1) 1)) (* (/ (pow 0 1) 1)))) into (* 8/3 (exp (* 1/3 (- (log -1/12) (log x))))) * [misc]backup-simplify: Simplify (* 8/3 (exp (* 1/3 (- (log -1/12) (log x))))) into (* 8/3 (exp (* 1/3 (- (log -1/12) (log x))))) * [misc]backup-simplify: Simplify (+ (* (* 8/3 (exp (* 1/3 (- (log -1/12) (log (/ 1 (- x))))))) (pow (/ 1 (- x)) 3)) (+ (* (* -2 (exp (* 1/3 (- (log -1/12) (log (/ 1 (- x))))))) (/ 1 (- x))) (exp (* 1/3 (- (log -1/12) (log (/ 1 (- x)))))))) into (- (+ (exp (* 1/3 (- (log -1/12) (log (/ -1 x))))) (* 2 (/ (exp (* 1/3 (- (log -1/12) (log (/ -1 x))))) x))) (* 8/3 (/ (exp (* 1/3 (- (log -1/12) (log (/ -1 x))))) (pow x 3)))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2))) in x * [misc]taylor: Rewrote expression to (pow (+ (* 1/12 x) (+ (/ 1 x) 1/2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1/12 x) (+ (/ 1 x) 1/2))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (* 1/12 x) (+ (/ 1 x) 1/2)))) 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 (+ (* 1/12 x) (+ (/ 1 x) 1/2))) in x * [misc]taylor: Taking taylor expansion of (+ (* 1/12 x) (+ (/ 1 x) 1/2)) in x * [misc]taylor: Taking taylor expansion of (* 1/12 x) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) 1/2) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log x))) into (* -1/3 (log x)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log x))) into (pow x -1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2))) in x * [misc]taylor: Rewrote expression to (pow (+ (* 1/12 x) (+ (/ 1 x) 1/2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1/12 x) (+ (/ 1 x) 1/2))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (* 1/12 x) (+ (/ 1 x) 1/2)))) 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 (+ (* 1/12 x) (+ (/ 1 x) 1/2))) in x * [misc]taylor: Taking taylor expansion of (+ (* 1/12 x) (+ (/ 1 x) 1/2)) in x * [misc]taylor: Taking taylor expansion of (* 1/12 x) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) 1/2) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log x))) into (* -1/3 (log x)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log x))) into (pow x -1/3) * [misc]backup-simplify: Simplify (pow x -1/3) into (pow x -1/3) * [misc]backup-simplify: Simplify (* 1/12 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow 1 1)))) 1) into 1/2 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 1/2) (* 0 (- (log x)))) into 1/6 * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log x))) (+ (* (/ (pow 1/6 1) 1)))) into (* 1/6 (pow (/ 1 x) 1/3)) * [misc]backup-simplify: Simplify (* 1/6 (pow (/ 1 x) 1/3)) into (* 1/6 (pow (/ 1 x) 1/3)) * [misc]backup-simplify: Simplify (+ (* 1/12 1) (* 0 0)) into 1/12 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 1/12 0) into 1/12 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1/12) 1)) (pow 1 1)))) 2) into -1/24 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 -1/24) (+ (* 0 1/2) (* 0 (- (log x))))) into (- 1/72) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log x))) (+ (* (/ (pow 1/6 2) 2)) (* (/ (pow (- 1/72) 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1/2) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1/2) 1) (pow (* 2 1/12) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 -1/24) (+ (* 0 1/2) (* 0 (- (log x)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log x))) (+ (* (/ (pow 1/6 3) 6)) (* (/ (pow 1/6 1) 1) (/ (pow (- 1/72) 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/648 (pow (/ 1 x) 1/3)) * [misc]backup-simplify: Simplify (* -1/648 (pow (/ 1 x) 1/3)) into (* -1/648 (pow (/ 1 x) 1/3)) * [misc]backup-simplify: Simplify (+ (* (* -1/648 (pow (/ 1 x) 1/3)) (pow x 3)) (+ (* (* 1/6 (pow (/ 1 x) 1/3)) x) (pow x -1/3))) into (- (+ (* 1/6 (pow (pow x 2) 1/3)) (pow x -1/3)) (* 1/648 (pow (pow x 8) 1/3))) * [misc]approximate: Taking taylor expansion of (cbrt (+ (* 1/12 (/ 1 x)) (+ (/ 1 (/ 1 x)) 1/2))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ (* 1/12 (/ 1 x)) (+ (/ 1 (/ 1 x)) 1/2))) in x * [misc]taylor: Rewrote expression to (pow (+ (* 1/12 (/ 1 x)) (+ (/ 1 (/ 1 x)) 1/2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1/12 (/ 1 x)) (+ (/ 1 (/ 1 x)) 1/2))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (* 1/12 (/ 1 x)) (+ (/ 1 (/ 1 x)) 1/2)))) 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 (+ (* 1/12 (/ 1 x)) (+ (/ 1 (/ 1 x)) 1/2))) in x * [misc]taylor: Taking taylor expansion of (+ (* 1/12 (/ 1 x)) (+ (/ 1 (/ 1 x)) 1/2)) in x * [misc]taylor: Taking taylor expansion of (* 1/12 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (/ 1 x)) 1/2) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* 1/12 1) into 1/12 * [misc]backup-simplify: Simplify (+ 1/12 0) into 1/12 * [misc]backup-simplify: Simplify (log 1/12) into (log 1/12) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log 1/12)) into (- (log 1/12) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log 1/12) (log x))) into (* 1/3 (- (log 1/12) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/12) (log x)))) into (exp (* 1/3 (- (log 1/12) (log x)))) * [misc]taylor: Taking taylor expansion of (cbrt (+ (* 1/12 (/ 1 x)) (+ (/ 1 (/ 1 x)) 1/2))) in x * [misc]taylor: Rewrote expression to (pow (+ (* 1/12 (/ 1 x)) (+ (/ 1 (/ 1 x)) 1/2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1/12 (/ 1 x)) (+ (/ 1 (/ 1 x)) 1/2))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (* 1/12 (/ 1 x)) (+ (/ 1 (/ 1 x)) 1/2)))) 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 (+ (* 1/12 (/ 1 x)) (+ (/ 1 (/ 1 x)) 1/2))) in x * [misc]taylor: Taking taylor expansion of (+ (* 1/12 (/ 1 x)) (+ (/ 1 (/ 1 x)) 1/2)) in x * [misc]taylor: Taking taylor expansion of (* 1/12 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (/ 1 x)) 1/2) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* 1/12 1) into 1/12 * [misc]backup-simplify: Simplify (+ 1/12 0) into 1/12 * [misc]backup-simplify: Simplify (log 1/12) into (log 1/12) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log 1/12)) into (- (log 1/12) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log 1/12) (log x))) into (* 1/3 (- (log 1/12) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/12) (log x)))) into (exp (* 1/3 (- (log 1/12) (log x)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/12) (log x)))) into (exp (* 1/3 (- (log 1/12) (log x)))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow 1/12 1)))) 1) into 6 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log 1/12)) into (- (log 1/12) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 6) (* 0 (- (log 1/12) (log x)))) into 2 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/12) (log x)))) (+ (* (/ (pow 2 1) 1)))) into (* 2 (exp (* 1/3 (- (log 1/12) (log x))))) * [misc]backup-simplify: Simplify (* 2 (exp (* 1/3 (- (log 1/12) (log x))))) into (* 2 (exp (* 1/3 (- (log 1/12) (log x))))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow 1/12 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1/12 1)))) 2) into -6 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log 1/12)) into (- (log 1/12) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 -6) (+ (* 0 6) (* 0 (- (log 1/12) (log x))))) into (- 2) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/12) (log x)))) (+ (* (/ (pow 2 2) 2)) (* (/ (pow (- 2) 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1/2) 3)) (pow 1/12 3))) (* -3 (/ (* (pow (* 1 1/2) 1) (pow (* 2 1) 1)) (pow 1/12 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1/12 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log 1/12)) into (- (log 1/12) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 -6) (+ (* 0 6) (* 0 (- (log 1/12) (log x)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/12) (log x)))) (+ (* (/ (pow 2 3) 6)) (* (/ (pow 2 1) 1) (/ (pow (- 2) 1) 1)) (* (/ (pow 0 1) 1)))) into (* -8/3 (exp (* 1/3 (- (log 1/12) (log x))))) * [misc]backup-simplify: Simplify (* -8/3 (exp (* 1/3 (- (log 1/12) (log x))))) into (* -8/3 (exp (* 1/3 (- (log 1/12) (log x))))) * [misc]backup-simplify: Simplify (+ (* (* -8/3 (exp (* 1/3 (- (log 1/12) (log (/ 1 x)))))) (pow (/ 1 x) 3)) (+ (* (* 2 (exp (* 1/3 (- (log 1/12) (log (/ 1 x)))))) (/ 1 x)) (exp (* 1/3 (- (log 1/12) (log (/ 1 x))))))) into (- (+ (exp (* 1/3 (- (log 1/12) (log (/ 1 x))))) (* 2 (/ (exp (* 1/3 (- (log 1/12) (log (/ 1 x))))) x))) (* 8/3 (/ (exp (* 1/3 (- (log 1/12) (log (/ 1 x))))) (pow x 3)))) * [misc]approximate: Taking taylor expansion of (cbrt (+ (* 1/12 (/ 1 (- x))) (+ (/ 1 (/ 1 (- x))) 1/2))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ (* 1/12 (/ 1 (- x))) (+ (/ 1 (/ 1 (- x))) 1/2))) in x * [misc]taylor: Rewrote expression to (pow (+ (* 1/12 (/ 1 (- x))) (+ (/ 1 (/ 1 (- x))) 1/2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1/12 (/ 1 (- x))) (+ (/ 1 (/ 1 (- x))) 1/2))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (* 1/12 (/ 1 (- x))) (+ (/ 1 (/ 1 (- x))) 1/2)))) 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 (+ (* 1/12 (/ 1 (- x))) (+ (/ 1 (/ 1 (- x))) 1/2))) in x * [misc]taylor: Taking taylor expansion of (+ (* 1/12 (/ 1 (- x))) (+ (/ 1 (/ 1 (- x))) 1/2)) in x * [misc]taylor: Taking taylor expansion of (* 1/12 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (/ 1 (- x))) 1/2) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* 1/12 -1) into -1/12 * [misc]backup-simplify: Simplify (+ -1/12 0) into -1/12 * [misc]backup-simplify: Simplify (log -1/12) into (log -1/12) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1/12)) into (- (log -1/12) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1/12) (log x))) into (* 1/3 (- (log -1/12) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1/12) (log x)))) into (exp (* 1/3 (- (log -1/12) (log x)))) * [misc]taylor: Taking taylor expansion of (cbrt (+ (* 1/12 (/ 1 (- x))) (+ (/ 1 (/ 1 (- x))) 1/2))) in x * [misc]taylor: Rewrote expression to (pow (+ (* 1/12 (/ 1 (- x))) (+ (/ 1 (/ 1 (- x))) 1/2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1/12 (/ 1 (- x))) (+ (/ 1 (/ 1 (- x))) 1/2))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (* 1/12 (/ 1 (- x))) (+ (/ 1 (/ 1 (- x))) 1/2)))) 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 (+ (* 1/12 (/ 1 (- x))) (+ (/ 1 (/ 1 (- x))) 1/2))) in x * [misc]taylor: Taking taylor expansion of (+ (* 1/12 (/ 1 (- x))) (+ (/ 1 (/ 1 (- x))) 1/2)) in x * [misc]taylor: Taking taylor expansion of (* 1/12 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (/ 1 (- x))) 1/2) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* 1/12 -1) into -1/12 * [misc]backup-simplify: Simplify (+ -1/12 0) into -1/12 * [misc]backup-simplify: Simplify (log -1/12) into (log -1/12) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1/12)) into (- (log -1/12) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1/12) (log x))) into (* 1/3 (- (log -1/12) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1/12) (log x)))) into (exp (* 1/3 (- (log -1/12) (log x)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1/12) (log x)))) into (exp (* 1/3 (- (log -1/12) (log x)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow -1/12 1)))) 1) into -6 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1/12)) into (- (log -1/12) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 -6) (* 0 (- (log -1/12) (log x)))) into (- 2) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1/12) (log x)))) (+ (* (/ (pow (- 2) 1) 1)))) into (* -2 (exp (* 1/3 (- (log -1/12) (log x))))) * [misc]backup-simplify: Simplify (* -2 (exp (* 1/3 (- (log -1/12) (log x))))) into (* -2 (exp (* 1/3 (- (log -1/12) (log 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 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow -1/12 2))) (* 1 (/ (* 1 (pow (* 2 -1) 1)) (pow -1/12 1)))) 2) into -6 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1/12)) into (- (log -1/12) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 -6) (+ (* 0 -6) (* 0 (- (log -1/12) (log x))))) into (- 2) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1/12) (log x)))) (+ (* (/ (pow (- 2) 2) 2)) (* (/ (pow (- 2) 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1/2) 3)) (pow -1/12 3))) (* -3 (/ (* (pow (* 1 1/2) 1) (pow (* 2 -1) 1)) (pow -1/12 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1/12 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1/12)) into (- (log -1/12) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 -6) (+ (* 0 -6) (* 0 (- (log -1/12) (log x)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1/12) (log x)))) (+ (* (/ (pow (- 2) 3) 6)) (* (/ (pow (- 2) 1) 1) (/ (pow (- 2) 1) 1)) (* (/ (pow 0 1) 1)))) into (* 8/3 (exp (* 1/3 (- (log -1/12) (log x))))) * [misc]backup-simplify: Simplify (* 8/3 (exp (* 1/3 (- (log -1/12) (log x))))) into (* 8/3 (exp (* 1/3 (- (log -1/12) (log x))))) * [misc]backup-simplify: Simplify (+ (* (* 8/3 (exp (* 1/3 (- (log -1/12) (log (/ 1 (- x))))))) (pow (/ 1 (- x)) 3)) (+ (* (* -2 (exp (* 1/3 (- (log -1/12) (log (/ 1 (- x))))))) (/ 1 (- x))) (exp (* 1/3 (- (log -1/12) (log (/ 1 (- x)))))))) into (- (+ (exp (* 1/3 (- (log -1/12) (log (/ -1 x))))) (* 2 (/ (exp (* 1/3 (- (log -1/12) (log (/ -1 x))))) x))) (* 8/3 (/ (exp (* 1/3 (- (log -1/12) (log (/ -1 x))))) (pow x 3)))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/12 x) (+ (/ 1 x) 1/2)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (+ (+ 1/2 (* 1/12 x)) (/ 1 x)) * [misc]simplify: Simplified (2 1 1) to (λ (x) (* (pow (+ (+ 1/2 (* 1/12 x)) (/ 1 x)) (+ 1/3 1/3)) (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2))))) * [enter]simplify: Simplifying (+ 1/3 1/3) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (+ 1/3 1/3) * [misc]simplify: Simplified (2 1 2) to (λ (x) (* (pow (+ (* 1/12 x) (+ (/ 1 x) 1/2)) (+ 1/3 1/3)) (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2))))) * * * * [misc]progress: [ 2 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (cbrt (+ 1/2 (+ (* 1/12 x) (/ 1 x)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (* (pow (cbrt (+ 1/2 (+ (* 1/12 x) (/ 1 x)))) (+ 1 1)) (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2))))) * [enter]simplify: Simplifying (+ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (+ 1 1) * [misc]simplify: Simplified (2 1 2) to (λ (x) (* (pow (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2))) (+ 1 1)) (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2))))) * * * * [misc]progress: [ 3 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* 1/12 x) (+ (/ 1 x) 1/2)) (+ (* 1/12 x) (+ (/ 1 x) 1/2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (315 enodes) * [exit]simplify: Simplified to (* (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (+ (* 1/12 x) (+ 1/2 (/ 1 x)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (* (pow (* (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (+ (* 1/12 x) (+ 1/2 (/ 1 x)))) 1/3) (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2))))) * * * * [misc]progress: [ 4 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2))) (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (+ 1/2 (* 1/12 x)) (/ 1 x))) (cbrt (+ (+ 1/2 (* 1/12 x)) (/ 1 x)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (* (pow (* (cbrt (+ (+ 1/2 (* 1/12 x)) (/ 1 x))) (cbrt (+ (+ 1/2 (* 1/12 x)) (/ 1 x)))) 1) (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2))))) * * * * [misc]progress: [ 5 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (cbrt (+ 1/2 (+ (* 1/12 x) (/ 1 x)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (* (pow (cbrt (+ 1/2 (+ (* 1/12 x) (/ 1 x)))) (+ 1 1)) (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2))))) * * * * [misc]progress: [ 7 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2)))) (log (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (+ (log (cbrt (+ (/ 1 x) (+ 1/2 (* 1/12 x))))) (log (cbrt (+ (/ 1 x) (+ 1/2 (* 1/12 x)))))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (* (exp (+ (log (cbrt (+ (/ 1 x) (+ 1/2 (* 1/12 x))))) (log (cbrt (+ (/ 1 x) (+ 1/2 (* 1/12 x))))))) (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2))))) * * * * [misc]progress: [ 9 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* 1/12 x) (+ (/ 1 x) 1/2)) (+ (* 1/12 x) (+ (/ 1 x) 1/2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (315 enodes) * [exit]simplify: Simplified to (* (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (+ (* 1/12 x) (+ 1/2 (/ 1 x)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (* (cbrt (* (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (+ (* 1/12 x) (+ 1/2 (/ 1 x))))) (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2))))) * * * * [misc]progress: [ 12 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ (pow (* 1/12 x) 3) (pow (+ (/ 1 x) 1/2) 3))) (cbrt (+ (pow (* 1/12 x) 3) (pow (+ (/ 1 x) 1/2) 3)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (176 enodes) * * [misc]simplify: iters left: 2 (480 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (pow (* 1/12 x) 3) (pow (+ 1/2 (/ 1 x)) 3))) (cbrt (+ (pow (* 1/12 x) 3) (pow (+ 1/2 (/ 1 x)) 3)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (* (/ (* (cbrt (+ (pow (* 1/12 x) 3) (pow (+ 1/2 (/ 1 x)) 3))) (cbrt (+ (pow (* 1/12 x) 3) (pow (+ 1/2 (/ 1 x)) 3)))) (* (cbrt (+ (* (* 1/12 x) (* 1/12 x)) (- (* (+ (/ 1 x) 1/2) (+ (/ 1 x) 1/2)) (* (* 1/12 x) (+ (/ 1 x) 1/2))))) (cbrt (+ (* (* 1/12 x) (* 1/12 x)) (- (* (+ (/ 1 x) 1/2) (+ (/ 1 x) 1/2)) (* (* 1/12 x) (+ (/ 1 x) 1/2))))))) (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2))))) * [enter]simplify: Simplifying (* (cbrt (+ (* (* 1/12 x) (* 1/12 x)) (- (* (+ (/ 1 x) 1/2) (+ (/ 1 x) 1/2)) (* (* 1/12 x) (+ (/ 1 x) 1/2))))) (cbrt (+ (* (* 1/12 x) (* 1/12 x)) (- (* (+ (/ 1 x) 1/2) (+ (/ 1 x) 1/2)) (* (* 1/12 x) (+ (/ 1 x) 1/2)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (150 enodes) * * [misc]simplify: iters left: 3 (461 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (+ (* (* 1/12 x) (* 1/12 x)) (+ (/ 1/2 x) (* 1/2 1/2))) (* (- (/ 1 x) (* 1/12 x)) (+ (/ 1 x) 1/2)))) (cbrt (+ (+ (* (* 1/12 x) (* 1/12 x)) (+ (/ 1/2 x) (* 1/2 1/2))) (* (- (/ 1 x) (* 1/12 x)) (+ (/ 1 x) 1/2))))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (* (/ (* (cbrt (+ (pow (* 1/12 x) 3) (pow (+ (/ 1 x) 1/2) 3))) (cbrt (+ (pow (* 1/12 x) 3) (pow (+ (/ 1 x) 1/2) 3)))) (* (cbrt (+ (+ (* (* 1/12 x) (* 1/12 x)) (+ (/ 1/2 x) (* 1/2 1/2))) (* (- (/ 1 x) (* 1/12 x)) (+ (/ 1 x) 1/2)))) (cbrt (+ (+ (* (* 1/12 x) (* 1/12 x)) (+ (/ 1/2 x) (* 1/2 1/2))) (* (- (/ 1 x) (* 1/12 x)) (+ (/ 1 x) 1/2)))))) (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2))))) * * * * [misc]progress: [ 16 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ (pow (* 1/12 x) 3) (pow (+ (/ 1 x) 1/2) 3))) (cbrt (- (* (* 1/12 x) (* 1/12 x)) (* (+ (/ 1 x) 1/2) (+ (/ 1 x) 1/2))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (133 enodes) * * [misc]simplify: iters left: 3 (395 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (pow (* 1/12 x) 3) (pow (+ (/ 1 x) 1/2) 3))) (cbrt (- (* (* 1/12 x) (* 1/12 x)) (* (+ (/ 1 x) 1/2) (+ (/ 1 x) 1/2))))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (* (/ (* (cbrt (+ (pow (* 1/12 x) 3) (pow (+ (/ 1 x) 1/2) 3))) (cbrt (- (* (* 1/12 x) (* 1/12 x)) (* (+ (/ 1 x) 1/2) (+ (/ 1 x) 1/2))))) (* (cbrt (+ (* (* 1/12 x) (* 1/12 x)) (- (* (+ (/ 1 x) 1/2) (+ (/ 1 x) 1/2)) (* (* 1/12 x) (+ (/ 1 x) 1/2))))) (cbrt (- (* 1/12 x) (+ (/ 1 x) 1/2))))) (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2))))) * [enter]simplify: Simplifying (* (cbrt (+ (* (* 1/12 x) (* 1/12 x)) (- (* (+ (/ 1 x) 1/2) (+ (/ 1 x) 1/2)) (* (* 1/12 x) (+ (/ 1 x) 1/2))))) (cbrt (- (* 1/12 x) (+ (/ 1 x) 1/2)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (164 enodes) * * [misc]simplify: iters left: 3 (476 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (+ (* (* 1/12 x) (* 1/12 x)) (+ (/ 1/2 x) (* 1/2 1/2))) (* (- (/ 1 x) (* 1/12 x)) (+ (/ 1 x) 1/2)))) (cbrt (- (* 1/12 x) (+ (/ 1 x) 1/2)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (* (/ (* (cbrt (+ (pow (* 1/12 x) 3) (pow (+ (/ 1 x) 1/2) 3))) (cbrt (- (* (* 1/12 x) (* 1/12 x)) (* (+ (/ 1 x) 1/2) (+ (/ 1 x) 1/2))))) (* (cbrt (+ (+ (* (* 1/12 x) (* 1/12 x)) (+ (/ 1/2 x) (* 1/2 1/2))) (* (- (/ 1 x) (* 1/12 x)) (+ (/ 1 x) 1/2)))) (cbrt (- (* 1/12 x) (+ (/ 1 x) 1/2))))) (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2))))) * * * * [misc]progress: [ 17 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (* (* 1/12 x) (* 1/12 x)) (* (+ (/ 1 x) 1/2) (+ (/ 1 x) 1/2)))) (cbrt (+ (pow (* 1/12 x) 3) (pow (+ (/ 1 x) 1/2) 3)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (133 enodes) * * [misc]simplify: iters left: 3 (399 enodes) * [exit]simplify: Simplified to (* (cbrt (- (* (* 1/12 x) (* 1/12 x)) (* (+ (/ 1 x) 1/2) (+ (/ 1 x) 1/2)))) (cbrt (+ (pow (* 1/12 x) 3) (pow (+ (/ 1 x) 1/2) 3)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (* (/ (* (cbrt (- (* (* 1/12 x) (* 1/12 x)) (* (+ (/ 1 x) 1/2) (+ (/ 1 x) 1/2)))) (cbrt (+ (pow (* 1/12 x) 3) (pow (+ (/ 1 x) 1/2) 3)))) (* (cbrt (- (* 1/12 x) (+ (/ 1 x) 1/2))) (cbrt (+ (* (* 1/12 x) (* 1/12 x)) (- (* (+ (/ 1 x) 1/2) (+ (/ 1 x) 1/2)) (* (* 1/12 x) (+ (/ 1 x) 1/2))))))) (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2))))) * [enter]simplify: Simplifying (* (cbrt (- (* 1/12 x) (+ (/ 1 x) 1/2))) (cbrt (+ (* (* 1/12 x) (* 1/12 x)) (- (* (+ (/ 1 x) 1/2) (+ (/ 1 x) 1/2)) (* (* 1/12 x) (+ (/ 1 x) 1/2)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (164 enodes) * * [misc]simplify: iters left: 3 (473 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (+ (+ (/ 1/2 x) (* 1/2 1/2)) (* (* 1/12 x) (* 1/12 x))) (* (+ 1/2 (/ 1 x)) (- (/ 1 x) (* 1/12 x))))) (cbrt (- (- (* 1/12 x) (/ 1 x)) 1/2))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (* (/ (* (cbrt (- (* (* 1/12 x) (* 1/12 x)) (* (+ (/ 1 x) 1/2) (+ (/ 1 x) 1/2)))) (cbrt (+ (pow (* 1/12 x) 3) (pow (+ (/ 1 x) 1/2) 3)))) (* (cbrt (+ (+ (+ (/ 1/2 x) (* 1/2 1/2)) (* (* 1/12 x) (* 1/12 x))) (* (+ 1/2 (/ 1 x)) (- (/ 1 x) (* 1/12 x))))) (cbrt (- (- (* 1/12 x) (/ 1 x)) 1/2)))) (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2))))) * * * * [misc]progress: [ 18 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (* (* 1/12 x) (* 1/12 x)) (* (+ (/ 1 x) 1/2) (+ (/ 1 x) 1/2)))) (cbrt (- (* (* 1/12 x) (* 1/12 x)) (* (+ (/ 1 x) 1/2) (+ (/ 1 x) 1/2))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (219 enodes) * [exit]simplify: Simplified to (* (cbrt (- (* (* 1/12 x) (* 1/12 x)) (* (+ (/ 1 x) 1/2) (+ (/ 1 x) 1/2)))) (cbrt (- (* (* 1/12 x) (* 1/12 x)) (* (+ (/ 1 x) 1/2) (+ (/ 1 x) 1/2))))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (* (/ (* (cbrt (- (* (* 1/12 x) (* 1/12 x)) (* (+ (/ 1 x) 1/2) (+ (/ 1 x) 1/2)))) (cbrt (- (* (* 1/12 x) (* 1/12 x)) (* (+ (/ 1 x) 1/2) (+ (/ 1 x) 1/2))))) (* (cbrt (- (* 1/12 x) (+ (/ 1 x) 1/2))) (cbrt (- (* 1/12 x) (+ (/ 1 x) 1/2))))) (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2))))) * [enter]simplify: Simplifying (* (cbrt (- (* 1/12 x) (+ (/ 1 x) 1/2))) (cbrt (- (* 1/12 x) (+ (/ 1 x) 1/2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (64 enodes) * [exit]simplify: Simplified to (* (cbrt (- (* 1/12 x) (+ (/ 1 x) 1/2))) (cbrt (- (* 1/12 x) (+ (/ 1 x) 1/2)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (* (/ (* (cbrt (- (* (* 1/12 x) (* 1/12 x)) (* (+ (/ 1 x) 1/2) (+ (/ 1 x) 1/2)))) (cbrt (- (* (* 1/12 x) (* 1/12 x)) (* (+ (/ 1 x) 1/2) (+ (/ 1 x) 1/2))))) (* (cbrt (- (* 1/12 x) (+ (/ 1 x) 1/2))) (cbrt (- (* 1/12 x) (+ (/ 1 x) 1/2))))) (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2))))) * * * * [misc]progress: [ 19 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (+ (+ 1/2 (* 1/12 x)) (/ 1 x)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (* (* (* (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2))) (cbrt (* (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2))) (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2)))))) (cbrt (cbrt (+ (+ 1/2 (* 1/12 x)) (/ 1 x))))) (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2))))) * * * * [misc]progress: [ 21 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (+ (* 1/12 x) (+ (/ 1 x) 1/2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ (+ 1/2 (* 1/12 x)) (/ 1 x)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (* (* (* (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2))) (cbrt (sqrt (+ (* 1/12 x) (+ (/ 1 x) 1/2))))) (cbrt (sqrt (+ (+ 1/2 (* 1/12 x)) (/ 1 x))))) (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2))))) * * * * [misc]progress: [ 22 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (cbrt (+ 1/2 (+ (* 1/12 x) (/ 1 x)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (* (* (* (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2))) (cbrt 1)) (cbrt (+ 1/2 (+ (* 1/12 x) (/ 1 x))))) (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2))))) * * * * [misc]progress: [ 23 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (+ (+ 1/2 (* 1/12 x)) (/ 1 x)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (* (* (* (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2))) (* (cbrt (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2)))) (cbrt (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2)))))) (cbrt (cbrt (+ (+ 1/2 (* 1/12 x)) (/ 1 x))))) (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2))))) * * * * [misc]progress: [ 24 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (+ (+ 1/2 (* 1/12 x)) (/ 1 x)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (* (* (* (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2))) (sqrt (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2))))) (sqrt (cbrt (+ (+ 1/2 (* 1/12 x)) (/ 1 x))))) (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2))))) * * * * [misc]progress: [ 25 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (cbrt (+ 1/2 (+ (* 1/12 x) (/ 1 x)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (* (* (* (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2))) 1) (cbrt (+ 1/2 (+ (* 1/12 x) (/ 1 x))))) (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2))))) * * * * [misc]progress: [ 26 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2))) (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (+ (/ 1 x) (+ 1/2 (* 1/12 x)))) (cbrt (+ (/ 1 x) (+ 1/2 (* 1/12 x)))))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (* (* (cbrt (* (cbrt (+ (/ 1 x) (+ 1/2 (* 1/12 x)))) (cbrt (+ (/ 1 x) (+ 1/2 (* 1/12 x)))))) (* (cbrt (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2)))) (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2))))) (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2))))) * * * * [misc]progress: [ 27 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (+ (* 1/12 x) (+ (/ 1 x) 1/2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ (+ 1/2 (* 1/12 x)) (/ 1 x)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (* (* (cbrt (sqrt (+ (+ 1/2 (* 1/12 x)) (/ 1 x)))) (* (cbrt (sqrt (+ (* 1/12 x) (+ (/ 1 x) 1/2)))) (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2))))) (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2))))) * * * * [misc]progress: [ 28 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [misc]simplify: Simplified (2 1 1) to (λ (x) (* (* (cbrt 1) (* (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2))) (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2))))) (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2))))) * * * * [misc]progress: [ 29 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2)))) (cbrt (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (* (cbrt (cbrt (+ (/ 1 x) (+ 1/2 (* 1/12 x))))) (cbrt (cbrt (+ (/ 1 x) (+ 1/2 (* 1/12 x)))))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (* (* (* (cbrt (cbrt (+ (/ 1 x) (+ 1/2 (* 1/12 x))))) (cbrt (cbrt (+ (/ 1 x) (+ 1/2 (* 1/12 x)))))) (* (cbrt (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2)))) (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2))))) (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2))))) * * * * [misc]progress: [ 30 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (+ (+ 1/2 (* 1/12 x)) (/ 1 x)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (* (* (sqrt (cbrt (+ (+ 1/2 (* 1/12 x)) (/ 1 x)))) (* (sqrt (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2)))) (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2))))) (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2))))) * * * * [misc]progress: [ 31 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (* (* 1/12 x) (* 1/12 x)) (- (* (+ (/ 1 x) 1/2) (+ (/ 1 x) 1/2)) (* (* 1/12 x) (+ (/ 1 x) 1/2))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (149 enodes) * * [misc]simplify: iters left: 3 (453 enodes) * [exit]simplify: Simplified to (cbrt (+ (* (+ (/ 1 x) 1/2) (- (/ 1 x) (* 1/12 x))) (+ (* (* 1/12 x) (* 1/12 x)) (+ (* 1/2 1/2) (/ 1/2 x))))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (* (/ (* (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2))) (cbrt (+ (pow (* 1/12 x) 3) (pow (+ (/ 1 x) 1/2) 3)))) (cbrt (+ (* (+ (/ 1 x) 1/2) (- (/ 1 x) (* 1/12 x))) (+ (* (* 1/12 x) (* 1/12 x)) (+ (* 1/2 1/2) (/ 1/2 x)))))) (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2))))) * * * * [misc]progress: [ 33 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (* 1/12 x) (+ (/ 1 x) 1/2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (64 enodes) * [exit]simplify: Simplified to (cbrt (- (* 1/12 x) (+ (/ 1 x) 1/2))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (* (/ (* (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2))) (cbrt (- (* (* 1/12 x) (* 1/12 x)) (* (+ (/ 1 x) 1/2) (+ (/ 1 x) 1/2))))) (cbrt (- (* 1/12 x) (+ (/ 1 x) 1/2)))) (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2))))) * * * * [misc]progress: [ 34 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ (pow (* 1/12 x) 3) (pow (+ (/ 1 x) 1/2) 3))) (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (187 enodes) * * [misc]simplify: iters left: 2 (495 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (pow (* 1/12 x) 3) (pow (+ (/ 1 x) 1/2) 3))) (cbrt (+ (+ (/ 1 x) 1/2) (* 1/12 x)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (* (/ (* (cbrt (+ (pow (* 1/12 x) 3) (pow (+ (/ 1 x) 1/2) 3))) (cbrt (+ (+ (/ 1 x) 1/2) (* 1/12 x)))) (cbrt (+ (* (* 1/12 x) (* 1/12 x)) (- (* (+ (/ 1 x) 1/2) (+ (/ 1 x) 1/2)) (* (* 1/12 x) (+ (/ 1 x) 1/2)))))) (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2))))) * * * * [misc]progress: [ 35 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (* (* 1/12 x) (* 1/12 x)) (* (+ (/ 1 x) 1/2) (+ (/ 1 x) 1/2)))) (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (230 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2))) (cbrt (- (* (* 1/12 x) (* 1/12 x)) (* (+ 1/2 (/ 1 x)) (+ 1/2 (/ 1 x)))))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (* (/ (* (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2))) (cbrt (- (* (* 1/12 x) (* 1/12 x)) (* (+ 1/2 (/ 1 x)) (+ 1/2 (/ 1 x)))))) (cbrt (- (* 1/12 x) (+ (/ 1 x) 1/2)))) (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2))))) * * * * [misc]progress: [ 36 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2))) (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (+ (/ 1 x) (+ 1/2 (* 1/12 x)))) (cbrt (+ (/ 1 x) (+ 1/2 (* 1/12 x)))))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (* (* (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2))) (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2)))) (* (cbrt (* (cbrt (+ (/ 1 x) (+ 1/2 (* 1/12 x)))) (cbrt (+ (/ 1 x) (+ 1/2 (* 1/12 x)))))) (cbrt (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2))))))) * * * * [misc]progress: [ 42 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (+ (* 1/12 x) (+ (/ 1 x) 1/2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ (+ 1/2 (* 1/12 x)) (/ 1 x)))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (* (* (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2))) (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2)))) (* (cbrt (sqrt (+ (+ 1/2 (* 1/12 x)) (/ 1 x)))) (cbrt (sqrt (+ (* 1/12 x) (+ (/ 1 x) 1/2))))))) * * * * [misc]progress: [ 43 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [misc]simplify: Simplified (2 2 1) to (λ (x) (* (* (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2))) (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2)))) (* (cbrt 1) (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2)))))) * * * * [misc]progress: [ 44 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (pow (* 1/12 x) 3) (pow (+ (/ 1 x) 1/2) 3))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (182 enodes) * * [misc]simplify: iters left: 2 (489 enodes) * [exit]simplify: Simplified to (cbrt (+ (pow (* 1/12 x) 3) (pow (+ 1/2 (/ 1 x)) 3))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (* (* (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2))) (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2)))) (/ (cbrt (+ (pow (* 1/12 x) 3) (pow (+ 1/2 (/ 1 x)) 3))) (cbrt (+ (* (* 1/12 x) (* 1/12 x)) (- (* (+ (/ 1 x) 1/2) (+ (/ 1 x) 1/2)) (* (* 1/12 x) (+ (/ 1 x) 1/2)))))))) * * * * [misc]progress: [ 45 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (* (* 1/12 x) (* 1/12 x)) (* (+ (/ 1 x) 1/2) (+ (/ 1 x) 1/2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (80 enodes) * * [misc]simplify: iters left: 3 (219 enodes) * [exit]simplify: Simplified to (cbrt (- (* (* 1/12 x) (* 1/12 x)) (* (+ (/ 1 x) 1/2) (+ (/ 1 x) 1/2)))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (* (* (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2))) (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2)))) (/ (cbrt (- (* (* 1/12 x) (* 1/12 x)) (* (+ (/ 1 x) 1/2) (+ (/ 1 x) 1/2)))) (cbrt (- (* 1/12 x) (+ (/ 1 x) 1/2)))))) * * * * [misc]progress: [ 46 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2))) (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (+ (/ 1 x) (+ 1/2 (* 1/12 x)))) (cbrt (+ (/ 1 x) (+ 1/2 (* 1/12 x)))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (* (* (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2))) (* (cbrt (* (cbrt (+ (/ 1 x) (+ 1/2 (* 1/12 x)))) (cbrt (+ (/ 1 x) (+ 1/2 (* 1/12 x)))))) (cbrt (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2)))))) (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2))))) * * * * [misc]progress: [ 55 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (+ (* 1/12 x) (+ (/ 1 x) 1/2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ (+ 1/2 (* 1/12 x)) (/ 1 x)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (* (* (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2))) (* (cbrt (sqrt (+ (+ 1/2 (* 1/12 x)) (/ 1 x)))) (cbrt (sqrt (+ (* 1/12 x) (+ (/ 1 x) 1/2)))))) (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2))))) * * * * [misc]progress: [ 56 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (* (* (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2))) (* (cbrt 1) (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2))))) (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2))))) * * * * [misc]progress: [ 57 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (pow (* 1/12 x) 3) (pow (+ (/ 1 x) 1/2) 3))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (182 enodes) * * [misc]simplify: iters left: 2 (489 enodes) * [exit]simplify: Simplified to (cbrt (+ (pow (* 1/12 x) 3) (pow (+ 1/2 (/ 1 x)) 3))) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (* (* (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2))) (/ (cbrt (+ (pow (* 1/12 x) 3) (pow (+ 1/2 (/ 1 x)) 3))) (cbrt (+ (* (* 1/12 x) (* 1/12 x)) (- (* (+ (/ 1 x) 1/2) (+ (/ 1 x) 1/2)) (* (* 1/12 x) (+ (/ 1 x) 1/2))))))) (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2))))) * * * * [misc]progress: [ 58 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (* (* 1/12 x) (* 1/12 x)) (* (+ (/ 1 x) 1/2) (+ (/ 1 x) 1/2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (80 enodes) * * [misc]simplify: iters left: 3 (219 enodes) * [exit]simplify: Simplified to (cbrt (- (* (* 1/12 x) (* 1/12 x)) (* (+ (/ 1 x) 1/2) (+ (/ 1 x) 1/2)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (* (* (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2))) (/ (cbrt (- (* (* 1/12 x) (* 1/12 x)) (* (+ (/ 1 x) 1/2) (+ (/ 1 x) 1/2)))) (cbrt (- (* 1/12 x) (+ (/ 1 x) 1/2))))) (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2))))) * * * * [misc]progress: [ 59 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 60 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 61 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 62 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 63 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 64 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 65 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 66 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 67 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2))) (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (+ (/ 1 x) (+ 1/2 (* 1/12 x)))) (cbrt (+ (/ 1 x) (+ 1/2 (* 1/12 x)))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (* (* (* (cbrt (* (cbrt (+ (/ 1 x) (+ 1/2 (* 1/12 x)))) (cbrt (+ (/ 1 x) (+ 1/2 (* 1/12 x)))))) (cbrt (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2))))) (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2)))) (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2))))) * * * * [misc]progress: [ 68 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (+ (* 1/12 x) (+ (/ 1 x) 1/2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ (+ 1/2 (* 1/12 x)) (/ 1 x)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (* (* (* (cbrt (sqrt (+ (+ 1/2 (* 1/12 x)) (/ 1 x)))) (cbrt (sqrt (+ (* 1/12 x) (+ (/ 1 x) 1/2))))) (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2)))) (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2))))) * * * * [misc]progress: [ 69 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (* (* (* (cbrt 1) (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2)))) (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2)))) (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2))))) * * * * [misc]progress: [ 70 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (pow (* 1/12 x) 3) (pow (+ (/ 1 x) 1/2) 3))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (182 enodes) * * [misc]simplify: iters left: 2 (489 enodes) * [exit]simplify: Simplified to (cbrt (+ (pow (* 1/12 x) 3) (pow (+ 1/2 (/ 1 x)) 3))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (* (* (/ (cbrt (+ (pow (* 1/12 x) 3) (pow (+ 1/2 (/ 1 x)) 3))) (cbrt (+ (* (* 1/12 x) (* 1/12 x)) (- (* (+ (/ 1 x) 1/2) (+ (/ 1 x) 1/2)) (* (* 1/12 x) (+ (/ 1 x) 1/2)))))) (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2)))) (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2))))) * * * * [misc]progress: [ 71 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (* (* 1/12 x) (* 1/12 x)) (* (+ (/ 1 x) 1/2) (+ (/ 1 x) 1/2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (80 enodes) * * [misc]simplify: iters left: 3 (219 enodes) * [exit]simplify: Simplified to (cbrt (- (* (* 1/12 x) (* 1/12 x)) (* (+ (/ 1 x) 1/2) (+ (/ 1 x) 1/2)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (* (* (/ (cbrt (- (* (* 1/12 x) (* 1/12 x)) (* (+ (/ 1 x) 1/2) (+ (/ 1 x) 1/2)))) (cbrt (- (* 1/12 x) (+ (/ 1 x) 1/2)))) (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2)))) (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2))))) * * * * [misc]progress: [ 72 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 73 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 74 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 75 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 76 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow (/ 1 (pow x 2)) 1/3) (+ (* 1/36 (pow (pow x 4) 1/3)) (* 1/3 (pow x 1/3)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * [exit]simplify: Simplified to (+ (* (cbrt x) 1/3) (+ (cbrt (/ 1 (* x x))) (* 1/36 (cbrt (pow x 4))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (+ (* (cbrt x) 1/3) (+ (cbrt (/ 1 (* x x))) (* 1/36 (cbrt (pow x 4))))) (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2))))) * * * * [misc]progress: [ 77 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow (exp (* 1/3 (- (log 1/12) (log (/ 1 x))))) 2) (+ (* 4 (/ (pow (exp (* 1/3 (- (log 1/12) (log (/ 1 x))))) 2) (pow x 2))) (* 4 (/ (pow (exp (* 1/3 (- (log 1/12) (log (/ 1 x))))) 2) x)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (85 enodes) * * [misc]simplify: iters left: 3 (154 enodes) * * [misc]simplify: iters left: 2 (352 enodes) * [exit]simplify: Simplified to (* (pow (* 1/12 x) (+ 1/3 1/3)) (+ (/ 4 (* x x)) (+ 1 (/ 4 x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (pow (* 1/12 x) (+ 1/3 1/3)) (+ (/ 4 (* x x)) (+ 1 (/ 4 x)))) (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2))))) * * * * [misc]progress: [ 78 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 4 (/ (pow (exp (* 1/3 (- (log -1/12) (log (/ -1 x))))) 2) (pow x 2))) (+ (* 4 (/ (pow (exp (* 1/3 (- (log -1/12) (log (/ -1 x))))) 2) x)) (pow (exp (* 1/3 (- (log -1/12) (log (/ -1 x))))) 2))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (155 enodes) * * [misc]simplify: iters left: 2 (371 enodes) * [exit]simplify: Simplified to (* (* (/ (cbrt -1/12) (pow (/ -1 x) 1/3)) (/ (cbrt -1/12) (pow (/ -1 x) 1/3))) (+ (+ 1 (/ (/ 4 x) x)) (/ 4 x))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (* (/ (cbrt -1/12) (pow (/ -1 x) 1/3)) (/ (cbrt -1/12) (pow (/ -1 x) 1/3))) (+ (+ 1 (/ (/ 4 x) x)) (/ 4 x))) (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2))))) * * * * [misc]progress: [ 79 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/6 (pow (pow x 2) 1/3)) (pow x -1/3)) (* 1/648 (pow (pow x 8) 1/3))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (+ (- (pow x -1/3) (* 1/648 (cbrt (pow x 8)))) (* (cbrt (* x x)) 1/6)) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2))) (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2)))) (+ (- (pow x -1/3) (* 1/648 (cbrt (pow x 8)))) (* (cbrt (* x x)) 1/6)))) * * * * [misc]progress: [ 80 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (exp (* 1/3 (- (log 1/12) (log (/ 1 x))))) (* 2 (/ (exp (* 1/3 (- (log 1/12) (log (/ 1 x))))) x))) (* 8/3 (/ (exp (* 1/3 (- (log 1/12) (log (/ 1 x))))) (pow x 3)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (91 enodes) * * [misc]simplify: iters left: 3 (177 enodes) * * [misc]simplify: iters left: 2 (379 enodes) * [exit]simplify: Simplified to (* (cbrt (* 1/12 x)) (- (+ 1 (/ 2 x)) (/ (/ 8/3 x) (* x x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2))) (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2)))) (* (cbrt (* 1/12 x)) (- (+ 1 (/ 2 x)) (/ (/ 8/3 x) (* x x)))))) * * * * [misc]progress: [ 81 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (exp (* 1/3 (- (log -1/12) (log (/ -1 x))))) (* 2 (/ (exp (* 1/3 (- (log -1/12) (log (/ -1 x))))) x))) (* 8/3 (/ (exp (* 1/3 (- (log -1/12) (log (/ -1 x))))) (pow x 3)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (88 enodes) * * [misc]simplify: iters left: 3 (179 enodes) * * [misc]simplify: iters left: 2 (393 enodes) * [exit]simplify: Simplified to (* (/ (cbrt -1/12) (pow (/ -1 x) 1/3)) (- (+ 1 (/ 2 x)) (/ (/ 8/3 x) (* x x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2))) (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2)))) (* (/ (cbrt -1/12) (pow (/ -1 x) 1/3)) (- (+ 1 (/ 2 x)) (/ (/ 8/3 x) (* x x)))))) * * * * [misc]progress: [ 82 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/6 (pow (pow x 2) 1/3)) (pow x -1/3)) (* 1/648 (pow (pow x 8) 1/3))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (+ (- (pow x -1/3) (* 1/648 (cbrt (pow x 8)))) (* (cbrt (* x x)) 1/6)) * [misc]simplify: Simplified (2 1 2) to (λ (x) (* (* (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2))) (+ (- (pow x -1/3) (* 1/648 (cbrt (pow x 8)))) (* (cbrt (* x x)) 1/6))) (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2))))) * * * * [misc]progress: [ 83 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (exp (* 1/3 (- (log 1/12) (log (/ 1 x))))) (* 2 (/ (exp (* 1/3 (- (log 1/12) (log (/ 1 x))))) x))) (* 8/3 (/ (exp (* 1/3 (- (log 1/12) (log (/ 1 x))))) (pow x 3)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (91 enodes) * * [misc]simplify: iters left: 3 (177 enodes) * * [misc]simplify: iters left: 2 (379 enodes) * [exit]simplify: Simplified to (* (cbrt (* 1/12 x)) (- (+ 1 (/ 2 x)) (/ (/ 8/3 x) (* x x)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (* (* (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2))) (* (cbrt (* 1/12 x)) (- (+ 1 (/ 2 x)) (/ (/ 8/3 x) (* x x))))) (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2))))) * * * * [misc]progress: [ 84 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (exp (* 1/3 (- (log -1/12) (log (/ -1 x))))) (* 2 (/ (exp (* 1/3 (- (log -1/12) (log (/ -1 x))))) x))) (* 8/3 (/ (exp (* 1/3 (- (log -1/12) (log (/ -1 x))))) (pow x 3)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (88 enodes) * * [misc]simplify: iters left: 3 (179 enodes) * * [misc]simplify: iters left: 2 (393 enodes) * [exit]simplify: Simplified to (* (/ (cbrt -1/12) (pow (/ -1 x) 1/3)) (- (+ 1 (/ 2 x)) (/ (/ 8/3 x) (* x x)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (* (* (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2))) (* (/ (cbrt -1/12) (pow (/ -1 x) 1/3)) (- (+ 1 (/ 2 x)) (/ (/ 8/3 x) (* x x))))) (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2))))) * * * * [misc]progress: [ 85 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/6 (pow (pow x 2) 1/3)) (pow x -1/3)) (* 1/648 (pow (pow x 8) 1/3))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (+ (- (pow x -1/3) (* 1/648 (cbrt (pow x 8)))) (* (cbrt (* x x)) 1/6)) * [misc]simplify: Simplified (2 1 1) to (λ (x) (* (* (+ (- (pow x -1/3) (* 1/648 (cbrt (pow x 8)))) (* (cbrt (* x x)) 1/6)) (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2)))) (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2))))) * * * * [misc]progress: [ 86 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (exp (* 1/3 (- (log 1/12) (log (/ 1 x))))) (* 2 (/ (exp (* 1/3 (- (log 1/12) (log (/ 1 x))))) x))) (* 8/3 (/ (exp (* 1/3 (- (log 1/12) (log (/ 1 x))))) (pow x 3)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (91 enodes) * * [misc]simplify: iters left: 3 (177 enodes) * * [misc]simplify: iters left: 2 (379 enodes) * [exit]simplify: Simplified to (* (cbrt (* 1/12 x)) (- (+ 1 (/ 2 x)) (/ (/ 8/3 x) (* x x)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (* (* (* (cbrt (* 1/12 x)) (- (+ 1 (/ 2 x)) (/ (/ 8/3 x) (* x x)))) (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2)))) (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2))))) * * * * [misc]progress: [ 87 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (exp (* 1/3 (- (log -1/12) (log (/ -1 x))))) (* 2 (/ (exp (* 1/3 (- (log -1/12) (log (/ -1 x))))) x))) (* 8/3 (/ (exp (* 1/3 (- (log -1/12) (log (/ -1 x))))) (pow x 3)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (88 enodes) * * [misc]simplify: iters left: 3 (179 enodes) * * [misc]simplify: iters left: 2 (393 enodes) * [exit]simplify: Simplified to (* (/ (cbrt -1/12) (pow (/ -1 x) 1/3)) (- (+ 1 (/ 2 x)) (/ (/ 8/3 x) (* x x)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (* (* (* (/ (cbrt -1/12) (pow (/ -1 x) 1/3)) (- (+ 1 (/ 2 x)) (/ (/ 8/3 x) (* x x)))) (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2)))) (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2))))) * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime: Finding splitpoints for: (# # # # # # #) * * * [misc]regime-changes: Trying 1 branch expressions: (x) * * * * [misc]regimes: Trying to branch on x from (# # # # # # #) * * * [misc]regime: Found split indices: #