* [misc]progress: [Phase 1 of 3] Setting up. * * * [misc]progress: [1/2] Preparing points * * * * [misc]points: Sampling 256 additional inputs, on iter 0 have 0 / 256 * * * * [misc]points: Computing exacts on every 16 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 8 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 4 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 2 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 256 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 256 points with exact outputs * * * [misc]progress: [2/2] Setting up program. * [misc]progress: [Phase 2 of 3] Improving. * [enter]simplify: Simplifying (+ (/ 1 (- x 1)) (/ x (+ 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 (- x 1)) (/ x (+ x 1))) * * [misc]progress: iteration 1 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 2 ] rewriting at (2 1) * * * * [misc]progress: [ 2 / 2 ] rewriting at (2 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 2 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (/ 1 (- x 1)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (- x 1)) in x * [misc]taylor: Taking taylor expansion of (- x 1) in x * [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 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x 1)) in x * [misc]taylor: Taking taylor expansion of (- x 1) in x * [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 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 1 -1)))) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* -1 (/ 1 -1)))) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (+ (* -1 (pow x 2)) (+ (* -1 x) -1)) into (- (+ x (+ (pow x 2) 1))) * [misc]approximate: Taking taylor expansion of (/ 1 (- (/ 1 x) 1)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (- (/ 1 x) 1)) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 x) 1) 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 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- (/ 1 x) 1)) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 x) 1) 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 in x * [misc]backup-simplify: Simplify 1 into 1 * [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 (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ -1 1)))) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 1 (/ -1 1)))) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (pow (/ 1 x) 3)) (+ (* 1 (pow (/ 1 x) 2)) (* 1 (/ 1 x)))) into (+ (/ 1 (pow x 3)) (+ (/ 1 (pow x 2)) (/ 1 x))) * [misc]approximate: Taking taylor expansion of (/ 1 (- (/ 1 (- x)) 1)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (- (/ 1 (- x)) 1)) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 (- x)) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- (/ 1 (- x)) 1)) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 (- x)) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ -1 -1)))) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 1 (/ -1 -1)))) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (+ (* -1 (pow (/ 1 (- x)) 3)) (+ (* 1 (pow (/ 1 (- x)) 2)) (* -1 (/ 1 (- x))))) into (+ (/ 1 (pow x 3)) (+ (/ 1 (pow x 2)) (/ 1 x))) * * * * [misc]progress: [ 2 / 2 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (/ x (+ x 1)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ x (+ x 1)) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ x 1) in x * [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 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ x (+ x 1)) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ x 1) in x * [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 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 1 1)))) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* -1 (/ 1 1)))) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (pow x 3)) (+ (* -1 (pow x 2)) (* 1 x))) into (- (+ x (pow x 3)) (pow x 2)) * [misc]approximate: Taking taylor expansion of (/ (/ 1 x) (+ (/ 1 x) 1)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ 1 x) (+ (/ 1 x) 1)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) 1) 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 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (/ 1 x) (+ (/ 1 x) 1)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) 1) 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 in x * [misc]backup-simplify: Simplify 1 into 1 * [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 (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 1 1)))) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* -1 (/ 1 1)))) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (pow (/ 1 x) 2)) (+ (* -1 (/ 1 x)) 1)) into (- (+ (/ 1 (pow x 2)) 1) (/ 1 x)) * [misc]approximate: Taking taylor expansion of (/ (/ 1 (- x)) (+ (/ 1 (- x)) 1)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- x)) (+ (/ 1 (- x)) 1)) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 -1) into 1 * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- x)) (+ (/ 1 (- x)) 1)) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* 1 (/ 1 -1)))) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 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 (- 0) into 0 * [misc]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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* 1 (/ 1 -1)))) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (pow (/ 1 (- x)) 2)) (+ (* 1 (/ 1 (- x))) 1)) into (- (+ (/ 1 (pow x 2)) 1) (/ 1 x)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 43 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 43 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 43 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (- 1) * [misc]simplify: Simplified (2 1 2) to (λ (x) (+ (pow (- x 1) (- 1)) (/ x (+ x 1)))) * * * * [misc]progress: [ 5 / 43 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 43 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 43 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 43 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 43 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 43 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 43 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 43 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 43 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 43 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 43 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- 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 (cbrt (- x 1)) * [misc]simplify: Simplified (2 1 2) to (λ (x) (+ (/ (/ 1 (* (cbrt (- x 1)) (cbrt (- x 1)))) (cbrt (- x 1))) (/ x (+ x 1)))) * * * * [misc]progress: [ 17 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- 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 (sqrt (- x 1)) * [misc]simplify: Simplified (2 1 2) to (λ (x) (+ (/ (/ 1 (sqrt (- x 1))) (sqrt (- x 1))) (/ x (+ x 1)))) * * * * [misc]progress: [ 18 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (- x 1) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (- x 1) * [misc]simplify: Simplified (2 1 2) to (λ (x) (+ (/ (/ 1 1) (- x 1)) (/ x (+ x 1)))) * * * * [misc]progress: [ 19 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* x x) (+ (* 1 1) (* x 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (+ x (fma x x 1)) * [misc]simplify: Simplified (2 1 2) to (λ (x) (+ (* (/ 1 (- (pow x 3) (pow 1 3))) (+ x (fma x x 1))) (/ x (+ x 1)))) * * * * [misc]progress: [ 20 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (+ x 1) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to (+ 1 x) * [misc]simplify: Simplified (2 1 2) to (λ (x) (+ (* (/ 1 (- (* x x) (* 1 1))) (+ 1 x)) (/ x (+ x 1)))) * * * * [misc]progress: [ 21 / 43 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 43 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 43 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 43 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 43 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 43 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 43 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 43 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 43 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 43 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 43 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 43 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ x 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (cbrt (+ 1 x)) * [misc]simplify: Simplified (2 2 2) to (λ (x) (+ (/ 1 (- x 1)) (/ (/ x (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (cbrt (+ 1 x))))) * * * * [misc]progress: [ 34 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ x 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 x)) * [misc]simplify: Simplified (2 2 2) to (λ (x) (+ (/ 1 (- x 1)) (/ (/ x (sqrt (+ x 1))) (sqrt (+ 1 x))))) * * * * [misc]progress: [ 35 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (+ x 1) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to (+ 1 x) * [misc]simplify: Simplified (2 2 2) to (λ (x) (+ (/ 1 (- x 1)) (/ (/ x 1) (+ 1 x)))) * * * * [misc]progress: [ 36 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* x x) (- (* 1 1) (* x 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (75 enodes) * [exit]simplify: Simplified to (fma x x (- 1 x)) * [misc]simplify: Simplified (2 2 2) to (λ (x) (+ (/ 1 (- x 1)) (* (/ x (+ (pow x 3) (pow 1 3))) (fma x x (- 1 x))))) * * * * [misc]progress: [ 37 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (- x 1) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (- x 1) * [misc]simplify: Simplified (2 2 2) to (λ (x) (+ (/ 1 (- x 1)) (* (/ x (- (* x x) (* 1 1))) (- x 1)))) * * * * [misc]progress: [ 38 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ x (+ (pow x 2) 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (147 enodes) * [exit]simplify: Simplified to (- (- 1) (fma x x x)) * [misc]simplify: Simplified (2 1) to (λ (x) (+ (- (- 1) (fma x x x)) (/ x (+ x 1)))) * * * * [misc]progress: [ 39 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (/ 1 (pow x 3)) (+ (/ 1 (pow x 2)) (/ 1 x))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * [exit]simplify: Simplified to (+ (+ (/ 1 x) (/ (/ 1 x) (* x x))) (/ (/ 1 x) x)) * [misc]simplify: Simplified (2 1) to (λ (x) (+ (+ (+ (/ 1 x) (/ (/ 1 x) (* x x))) (/ (/ 1 x) x)) (/ x (+ x 1)))) * * * * [misc]progress: [ 40 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (/ 1 (pow x 3)) (+ (/ 1 (pow x 2)) (/ 1 x))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * [exit]simplify: Simplified to (+ (+ (/ 1 x) (/ (/ 1 x) (* x x))) (/ (/ 1 x) x)) * [misc]simplify: Simplified (2 1) to (λ (x) (+ (+ (+ (/ 1 x) (/ (/ 1 x) (* x x))) (/ (/ 1 x) x)) (/ x (+ x 1)))) * * * * [misc]progress: [ 41 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ x (pow x 3)) (pow x 2)) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (101 enodes) * [exit]simplify: Simplified to (fma x (- 1 x) (pow x 3)) * [misc]simplify: Simplified (2 2) to (λ (x) (+ (/ 1 (- x 1)) (fma x (- 1 x) (pow x 3)))) * * * * [misc]progress: [ 42 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (/ 1 (pow x 2)) 1) (/ 1 x)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (+ (/ 1 (* x x)) (- 1 (/ 1 x))) * [misc]simplify: Simplified (2 2) to (λ (x) (+ (/ 1 (- x 1)) (+ (/ 1 (* x x)) (- 1 (/ 1 x))))) * * * * [misc]progress: [ 43 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (/ 1 (pow x 2)) 1) (/ 1 x)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (+ (/ 1 (* x x)) (- 1 (/ 1 x))) * [misc]simplify: Simplified (2 2) to (λ (x) (+ (/ 1 (- x 1)) (+ (/ 1 (* x x)) (- 1 (/ 1 x))))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 3 ] rewriting at (2 1) * * * * [misc]progress: [ 2 / 3 ] rewriting at (2 1 1) * * * * [misc]progress: [ 3 / 3 ] rewriting at (2 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 3 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (* (/ 1 (- (* x x) (* 1 1))) (+ x 1)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- (* x x) (* 1 1))) (+ x 1)) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- (* x x) (* 1 1))) in x * [misc]taylor: Taking taylor expansion of (- (* x x) (* 1 1)) in x * [misc]taylor: Taking taylor expansion of (* x x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 1 1) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ x 1) in x * [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 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- (* x x) (* 1 1))) (+ x 1)) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- (* x x) (* 1 1))) in x * [misc]taylor: Taking taylor expansion of (- (* x x) (* 1 1)) in x * [misc]taylor: Taking taylor expansion of (* x x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 1 1) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ x 1) in x * [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 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* -1 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 1) (* 0 1)) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 1 -1)) (* 0 (/ 0 -1)))) into -1 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 1) (* -1 1))) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (+ (* -1 (pow x 2)) (+ (* -1 x) -1)) into (- (+ x (+ (pow x 2) 1))) * [misc]approximate: Taking taylor expansion of (* (/ 1 (- (* (/ 1 x) (/ 1 x)) (* 1 1))) (+ (/ 1 x) 1)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- (* (/ 1 x) (/ 1 x)) (* 1 1))) (+ (/ 1 x) 1)) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- (* (/ 1 x) (/ 1 x)) (* 1 1))) in x * [misc]taylor: Taking taylor expansion of (- (* (/ 1 x) (/ 1 x)) (* 1 1)) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 1 1) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) 1) 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 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- (* (/ 1 x) (/ 1 x)) (* 1 1))) (+ (/ 1 x) 1)) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- (* (/ 1 x) (/ 1 x)) (* 1 1))) in x * [misc]taylor: Taking taylor expansion of (- (* (/ 1 x) (/ 1 x)) (* 1 1)) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 1 1) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) 1) 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 in x * [misc]backup-simplify: Simplify 1 into 1 * [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 (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 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 (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 1) (* 0 1)) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [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 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ -1 1)) (* 0 (/ 0 1)))) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 1) (* 1 1))) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (pow (/ 1 x) 3)) (+ (* 1 (pow (/ 1 x) 2)) (* 1 (/ 1 x)))) into (+ (/ 1 (pow x 3)) (+ (/ 1 (pow x 2)) (/ 1 x))) * [misc]approximate: Taking taylor expansion of (* (/ 1 (- (* (/ 1 (- x)) (/ 1 (- x))) (* 1 1))) (+ (/ 1 (- x)) 1)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- (* (/ 1 (- x)) (/ 1 (- x))) (* 1 1))) (+ (/ 1 (- x)) 1)) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- (* (/ 1 (- x)) (/ 1 (- x))) (* 1 1))) in x * [misc]taylor: Taking taylor expansion of (- (* (/ 1 (- x)) (/ 1 (- x))) (* 1 1)) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* 1 1) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- (* (/ 1 (- x)) (/ 1 (- x))) (* 1 1))) (+ (/ 1 (- x)) 1)) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- (* (/ 1 (- x)) (/ 1 (- x))) (* 1 1))) in x * [misc]taylor: Taking taylor expansion of (- (* (/ 1 (- x)) (/ 1 (- x))) (* 1 1)) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* 1 1) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 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) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 1) (* 0 -1)) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 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 (+ 0 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ -1 1)) (* 0 (/ 0 1)))) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 1) (* 1 -1))) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (+ (* -1 (pow (/ 1 (- x)) 3)) (+ (* 1 (pow (/ 1 (- x)) 2)) (* -1 (/ 1 (- x))))) into (+ (/ 1 (pow x 3)) (+ (/ 1 (pow x 2)) (/ 1 x))) * * * * [misc]progress: [ 2 / 3 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (/ 1 (- (* x x) (* 1 1))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (- (* x x) (* 1 1))) in x * [misc]taylor: Taking taylor expansion of (- (* x x) (* 1 1)) in x * [misc]taylor: Taking taylor expansion of (* x x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 1 1) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- (* x x) (* 1 1))) in x * [misc]taylor: Taking taylor expansion of (- (* x x) (* 1 1)) in x * [misc]taylor: Taking taylor expansion of (* x x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 1 1) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 1 -1)) (* 0 (/ 0 -1)))) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 1 -1)) (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* -1 (/ 1 -1)) (* 0 (/ 0 -1)))) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (+ (* -1 (pow x 4)) (+ (* -1 (pow x 2)) -1)) into (- (+ (pow x 2) (+ (pow x 4) 1))) * [misc]approximate: Taking taylor expansion of (/ 1 (- (* (/ 1 x) (/ 1 x)) (* 1 1))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (- (* (/ 1 x) (/ 1 x)) (* 1 1))) in x * [misc]taylor: Taking taylor expansion of (- (* (/ 1 x) (/ 1 x)) (* 1 1)) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 1 1) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- (* (/ 1 x) (/ 1 x)) (* 1 1))) in x * [misc]taylor: Taking taylor expansion of (- (* (/ 1 x) (/ 1 x)) (* 1 1)) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 1 1) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 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 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ -1 1)) (* 0 (/ 0 1)))) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1 1)) (* 1 (/ 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 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 1 (/ -1 1)) (* 0 (/ 0 1)))) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (pow (/ 1 x) 6)) (+ (* 1 (pow (/ 1 x) 4)) (* 1 (pow (/ 1 x) 2)))) into (+ (/ 1 (pow x 4)) (+ (/ 1 (pow x 6)) (/ 1 (pow x 2)))) * [misc]approximate: Taking taylor expansion of (/ 1 (- (* (/ 1 (- x)) (/ 1 (- x))) (* 1 1))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (- (* (/ 1 (- x)) (/ 1 (- x))) (* 1 1))) in x * [misc]taylor: Taking taylor expansion of (- (* (/ 1 (- x)) (/ 1 (- x))) (* 1 1)) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* 1 1) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- (* (/ 1 (- x)) (/ 1 (- x))) (* 1 1))) in x * [misc]taylor: Taking taylor expansion of (- (* (/ 1 (- x)) (/ 1 (- x))) (* 1 1)) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* 1 1) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 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) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ -1 1)) (* 0 (/ 0 1)))) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1 1)) (* 1 (/ 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 1 (/ -1 1)) (* 0 (/ 0 1)))) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (pow (/ 1 (- x)) 6)) (+ (* 1 (pow (/ 1 (- x)) 4)) (* 1 (pow (/ 1 (- x)) 2)))) into (+ (/ 1 (pow x 4)) (+ (/ 1 (pow x 6)) (/ 1 (pow x 2)))) * * * * [misc]progress: [ 3 / 3 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (/ x (+ x 1)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ x (+ x 1)) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ x 1) in x * [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 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ x (+ x 1)) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ x 1) in x * [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 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 1 1)))) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* -1 (/ 1 1)))) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (pow x 3)) (+ (* -1 (pow x 2)) (* 1 x))) into (- (+ x (pow x 3)) (pow x 2)) * [misc]approximate: Taking taylor expansion of (/ (/ 1 x) (+ (/ 1 x) 1)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ 1 x) (+ (/ 1 x) 1)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) 1) 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 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (/ 1 x) (+ (/ 1 x) 1)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) 1) 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 in x * [misc]backup-simplify: Simplify 1 into 1 * [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 (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 1 1)))) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* -1 (/ 1 1)))) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (pow (/ 1 x) 2)) (+ (* -1 (/ 1 x)) 1)) into (- (+ (/ 1 (pow x 2)) 1) (/ 1 x)) * [misc]approximate: Taking taylor expansion of (/ (/ 1 (- x)) (+ (/ 1 (- x)) 1)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- x)) (+ (/ 1 (- x)) 1)) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 -1) into 1 * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- x)) (+ (/ 1 (- x)) 1)) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* 1 (/ 1 -1)))) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 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 (- 0) into 0 * [misc]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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* 1 (/ 1 -1)))) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (pow (/ 1 (- x)) 2)) (+ (* 1 (/ 1 (- x))) 1)) into (- (+ (/ 1 (pow x 2)) 1) (/ 1 x)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (- (* x x) (* 1 1))) (+ x 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (107 enodes) * * [misc]simplify: iters left: 2 (198 enodes) * * [misc]simplify: iters left: 1 (444 enodes) * [exit]simplify: Simplified to (/ 1 (- x 1)) * [misc]simplify: Simplified (2 1 1) to (λ (x) (+ (pow (/ 1 (- x 1)) 1) (/ x (+ x 1)))) * * * * [misc]progress: [ 4 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (log (- (* x x) (* 1 1)))) (log (+ x 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (99 enodes) * [exit]simplify: Simplified to (- (log (- x 1))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (+ (exp (- (log (- x 1)))) (/ x (+ x 1)))) * * * * [misc]progress: [ 6 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (/ 1 (- (* x x) (* 1 1)))) (log (+ x 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (124 enodes) * * [misc]simplify: iters left: 1 (355 enodes) * [exit]simplify: Simplified to (- (log (- x 1))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (+ (exp (- (log (- x 1)))) (/ x (+ x 1)))) * * * * [misc]progress: [ 7 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (/ 1 (- (* x x) (* 1 1))) (/ 1 (- (* x x) (* 1 1)))) (/ 1 (- (* x x) (* 1 1)))) (* (* (+ x 1) (+ x 1)) (+ x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (140 enodes) * * [misc]simplify: iters left: 3 (399 enodes) * [exit]simplify: Simplified to (* (/ (/ (+ x 1) (- (* x x) 1)) (- (* x x) 1)) (* (+ x 1) (/ (+ x 1) (- (* x x) 1)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (+ (cbrt (* (/ (/ (+ x 1) (- (* x x) 1)) (- (* x x) 1)) (* (+ x 1) (/ (+ x 1) (- (* x x) 1))))) (/ x (+ x 1)))) * * * * [misc]progress: [ 10 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1 (+ (pow x 3) (pow 1 3))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * [exit]simplify: Simplified to (fma x (* x x) 1) * [misc]simplify: Simplified (2 1 1) to (λ (x) (+ (/ (fma x (* x x) 1) (* (- (* x x) (* 1 1)) (+ (* x x) (- (* 1 1) (* x 1))))) (/ x (+ x 1)))) * [enter]simplify: Simplifying (* (- (* x x) (* 1 1)) (+ (* x x) (- (* 1 1) (* x 1)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (80 enodes) * * [misc]simplify: iters left: 3 (266 enodes) * [exit]simplify: Simplified to (* (fma x x (- 1 x)) (- (* x x) 1)) * [misc]simplify: Simplified (2 1 2) to (λ (x) (+ (/ (fma x (* x x) 1) (* (fma x x (- 1 x)) (- (* x x) 1))) (/ x (+ x 1)))) * * * * [misc]progress: [ 14 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1 (- (* x x) (* 1 1))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (88 enodes) * * [misc]simplify: iters left: 1 (168 enodes) * [exit]simplify: Simplified to (- (* x x) 1) * [misc]simplify: Simplified (2 1 1) to (λ (x) (+ (/ (- (* x x) 1) (* (- (* x x) (* 1 1)) (- x 1))) (/ x (+ x 1)))) * [enter]simplify: Simplifying (* (- (* x x) (* 1 1)) (- x 1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (384 enodes) * [exit]simplify: Simplified to (* (- (* x x) 1) (- x 1)) * [misc]simplify: Simplified (2 1 2) to (λ (x) (+ (/ (- (* x x) 1) (* (- (* x x) 1) (- x 1))) (/ x (+ x 1)))) * * * * [misc]progress: [ 15 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (- (* x x) (* 1 1))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (88 enodes) * [exit]simplify: Simplified to (/ 1 (- (* x x) 1)) * [misc]simplify: Simplified (2 1 2) to (λ (x) (+ (+ (* (/ 1 (- (* x x) (* 1 1))) x) (/ 1 (- (* x x) 1))) (/ x (+ x 1)))) * * * * [misc]progress: [ 17 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1 (/ 1 (- (* x x) (* 1 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (88 enodes) * [exit]simplify: Simplified to (/ 1 (- (* x x) 1)) * [misc]simplify: Simplified (2 1 2) to (λ (x) (+ (+ (* x (/ 1 (- (* x x) (* 1 1)))) (/ 1 (- (* x x) 1))) (/ x (+ x 1)))) * * * * [misc]progress: [ 18 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ x 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (cbrt (+ 1 x)) * [misc]simplify: Simplified (2 1 2) to (λ (x) (+ (* (* (/ 1 (- (* x x) (* 1 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (cbrt (+ 1 x))) (/ x (+ x 1)))) * * * * [misc]progress: [ 19 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ x 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 x)) * [misc]simplify: Simplified (2 1 2) to (λ (x) (+ (* (* (/ 1 (- (* x x) (* 1 1))) (sqrt (+ x 1))) (sqrt (+ 1 x))) (/ x (+ x 1)))) * * * * [misc]progress: [ 20 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (+ x 1) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to (+ 1 x) * [misc]simplify: Simplified (2 1 2) to (λ (x) (+ (* (* (/ 1 (- (* x x) (* 1 1))) 1) (+ 1 x)) (/ x (+ x 1)))) * * * * [misc]progress: [ 21 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ 1 (- (* x x) (* 1 1)))) (cbrt (/ 1 (- (* x x) (* 1 1))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 1 (- (* x x) 1))) (cbrt (/ 1 (- (* x x) 1)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (+ (* (* (cbrt (/ 1 (- (* x x) 1))) (cbrt (/ 1 (- (* x x) 1)))) (* (cbrt (/ 1 (- (* x x) (* 1 1)))) (+ x 1))) (/ x (+ x 1)))) * * * * [misc]progress: [ 22 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 1 (- (* x x) (* 1 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (sqrt (/ 1 (- (* x x) 1))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (+ (* (sqrt (/ 1 (- (* x x) 1))) (* (sqrt (/ 1 (- (* x x) (* 1 1)))) (+ x 1))) (/ x (+ x 1)))) * * * * [misc]progress: [ 23 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (- (pow (* x x) 3) (pow (* 1 1) 3))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (95 enodes) * * [misc]simplify: iters left: 1 (150 enodes) * [exit]simplify: Simplified to (/ 1 (fma (pow x 3) (pow x 3) (- 1))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (+ (* (/ 1 (fma (pow x 3) (pow x 3) (- 1))) (* (+ (* (* x x) (* x x)) (+ (* (* 1 1) (* 1 1)) (* (* x x) (* 1 1)))) (+ x 1))) (/ x (+ x 1)))) * * * * [misc]progress: [ 26 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (- (* (* x x) (* x x)) (* (* 1 1) (* 1 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (86 enodes) * * [misc]simplify: iters left: 1 (177 enodes) * [exit]simplify: Simplified to (/ 1 (fma (* x x) (* x x) (- 1))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (+ (* (/ 1 (fma (* x x) (* x x) (- 1))) (* (+ (* x x) (* 1 1)) (+ x 1))) (/ x (+ x 1)))) * * * * [misc]progress: [ 27 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* x x) (- (* 1 1) (* x 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (75 enodes) * [exit]simplify: Simplified to (fma x x (- 1 x)) * [misc]simplify: Simplified (2 1 2) to (λ (x) (+ (/ (* (/ 1 (- (* x x) (* 1 1))) (+ (pow x 3) (pow 1 3))) (fma x x (- 1 x))) (/ x (+ x 1)))) * * * * [misc]progress: [ 28 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (- x 1) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (- x 1) * [misc]simplify: Simplified (2 1 2) to (λ (x) (+ (/ (* (/ 1 (- (* x x) (* 1 1))) (- (* x x) (* 1 1))) (- x 1)) (/ x (+ x 1)))) * * * * [misc]progress: [ 29 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1 (+ x 1)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * [exit]simplify: Simplified to (+ x 1) * [misc]simplify: Simplified (2 1 1) to (λ (x) (+ (/ (+ x 1) (- (* x x) (* 1 1))) (/ x (+ x 1)))) * * * * [misc]progress: [ 30 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (- 1) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (+ (* (pow (- (* x x) (* 1 1)) (- 1)) (+ x 1)) (/ x (+ x 1)))) * * * * [misc]progress: [ 35 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (* x x) (* 1 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (cbrt (- (* x x) 1)) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (+ (* (/ (/ 1 (* (cbrt (- (* x x) (* 1 1))) (cbrt (- (* x x) (* 1 1))))) (cbrt (- (* x x) 1))) (+ x 1)) (/ x (+ x 1)))) * * * * [misc]progress: [ 47 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (* x x) (* 1 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (sqrt (- (* x x) 1)) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (+ (* (/ (/ 1 (sqrt (- (* x x) (* 1 1)))) (sqrt (- (* x x) 1))) (+ x 1)) (/ x (+ x 1)))) * * * * [misc]progress: [ 48 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* x x) (* 1 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * * [misc]simplify: iters left: 1 (24 enodes) * [exit]simplify: Simplified to (- (* x x) 1) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (+ (* (/ (/ 1 1) (- (* x x) 1)) (+ x 1)) (/ x (+ x 1)))) * * * * [misc]progress: [ 49 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (- x 1) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (- x 1) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (+ (* (/ (/ 1 (+ x 1)) (- x 1)) (+ x 1)) (/ x (+ x 1)))) * * * * [misc]progress: [ 50 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* x x) (* x x)) (+ (* (* 1 1) (* 1 1)) (* (* x x) (* 1 1)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (93 enodes) * * [misc]simplify: iters left: 1 (101 enodes) * [exit]simplify: Simplified to (fma (* x x) (* x x) (fma x x 1)) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (+ (* (* (/ 1 (- (pow (* x x) 3) (pow (* 1 1) 3))) (fma (* x x) (* x x) (fma x x 1))) (+ x 1)) (/ x (+ x 1)))) * * * * [misc]progress: [ 51 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* x x) (* 1 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * * [misc]simplify: iters left: 1 (12 enodes) * [exit]simplify: Simplified to (fma x x 1) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (+ (* (* (/ 1 (- (* (* x x) (* x x)) (* (* 1 1) (* 1 1)))) (fma x x 1)) (+ x 1)) (/ x (+ x 1)))) * * * * [misc]progress: [ 52 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 57 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 58 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 59 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 60 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 61 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 62 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 63 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 64 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ x 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (cbrt (+ 1 x)) * [misc]simplify: Simplified (2 2 2) to (λ (x) (+ (* (/ 1 (- (* x x) (* 1 1))) (+ x 1)) (/ (/ x (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (cbrt (+ 1 x))))) * * * * [misc]progress: [ 65 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ x 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 x)) * [misc]simplify: Simplified (2 2 2) to (λ (x) (+ (* (/ 1 (- (* x x) (* 1 1))) (+ x 1)) (/ (/ x (sqrt (+ x 1))) (sqrt (+ 1 x))))) * * * * [misc]progress: [ 66 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (+ x 1) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to (+ 1 x) * [misc]simplify: Simplified (2 2 2) to (λ (x) (+ (* (/ 1 (- (* x x) (* 1 1))) (+ x 1)) (/ (/ x 1) (+ 1 x)))) * * * * [misc]progress: [ 67 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* x x) (- (* 1 1) (* x 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (75 enodes) * [exit]simplify: Simplified to (fma x x (- 1 x)) * [misc]simplify: Simplified (2 2 2) to (λ (x) (+ (* (/ 1 (- (* x x) (* 1 1))) (+ x 1)) (* (/ x (+ (pow x 3) (pow 1 3))) (fma x x (- 1 x))))) * * * * [misc]progress: [ 68 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (- x 1) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (- x 1) * [misc]simplify: Simplified (2 2 2) to (λ (x) (+ (* (/ 1 (- (* x x) (* 1 1))) (+ x 1)) (* (/ x (- (* x x) (* 1 1))) (- x 1)))) * * * * [misc]progress: [ 69 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ x (+ (pow x 2) 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (147 enodes) * [exit]simplify: Simplified to (- (- 1) (fma x x x)) * [misc]simplify: Simplified (2 1) to (λ (x) (+ (- (- 1) (fma x x x)) (/ x (+ x 1)))) * * * * [misc]progress: [ 70 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (/ 1 (pow x 3)) (+ (/ 1 (pow x 2)) (/ 1 x))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * [exit]simplify: Simplified to (+ (+ (/ 1 x) (/ (/ 1 x) (* x x))) (/ (/ 1 x) x)) * [misc]simplify: Simplified (2 1) to (λ (x) (+ (+ (+ (/ 1 x) (/ (/ 1 x) (* x x))) (/ (/ 1 x) x)) (/ x (+ x 1)))) * * * * [misc]progress: [ 71 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (/ 1 (pow x 3)) (+ (/ 1 (pow x 2)) (/ 1 x))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * [exit]simplify: Simplified to (+ (+ (/ 1 x) (/ (/ 1 x) (* x x))) (/ (/ 1 x) x)) * [misc]simplify: Simplified (2 1) to (λ (x) (+ (+ (+ (/ 1 x) (/ (/ 1 x) (* x x))) (/ (/ 1 x) x)) (/ x (+ x 1)))) * * * * [misc]progress: [ 72 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (pow x 2) (+ (pow x 4) 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (77 enodes) * * [misc]simplify: iters left: 1 (88 enodes) * [exit]simplify: Simplified to (- (- (pow x 4)) (fma x x 1)) * [misc]simplify: Simplified (2 1 1) to (λ (x) (+ (* (- (- (pow x 4)) (fma x x 1)) (+ x 1)) (/ x (+ x 1)))) * * * * [misc]progress: [ 73 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (/ 1 (pow x 4)) (+ (/ 1 (pow x 6)) (/ 1 (pow x 2)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * [exit]simplify: Simplified to (+ (+ (/ (/ 1 x) x) (/ 1 (pow x 4))) (/ 1 (pow x 6))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (+ (* (+ (+ (/ (/ 1 x) x) (/ 1 (pow x 4))) (/ 1 (pow x 6))) (+ x 1)) (/ x (+ x 1)))) * * * * [misc]progress: [ 74 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (/ 1 (pow x 4)) (+ (/ 1 (pow x 6)) (/ 1 (pow x 2)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * [exit]simplify: Simplified to (+ (+ (/ (/ 1 x) x) (/ 1 (pow x 4))) (/ 1 (pow x 6))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (+ (* (+ (+ (/ (/ 1 x) x) (/ 1 (pow x 4))) (/ 1 (pow x 6))) (+ x 1)) (/ x (+ x 1)))) * * * * [misc]progress: [ 75 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ x (pow x 3)) (pow x 2)) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (101 enodes) * [exit]simplify: Simplified to (fma x (- 1 x) (pow x 3)) * [misc]simplify: Simplified (2 2) to (λ (x) (+ (* (/ 1 (- (* x x) (* 1 1))) (+ x 1)) (fma x (- 1 x) (pow x 3)))) * * * * [misc]progress: [ 76 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (/ 1 (pow x 2)) 1) (/ 1 x)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (+ (/ 1 (* x x)) (- 1 (/ 1 x))) * [misc]simplify: Simplified (2 2) to (λ (x) (+ (* (/ 1 (- (* x x) (* 1 1))) (+ x 1)) (+ (/ 1 (* x x)) (- 1 (/ 1 x))))) * * * * [misc]progress: [ 77 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (/ 1 (pow x 2)) 1) (/ 1 x)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (+ (/ 1 (* x x)) (- 1 (/ 1 x))) * [misc]simplify: Simplified (2 2) to (λ (x) (+ (* (/ 1 (- (* x x) (* 1 1))) (+ x 1)) (+ (/ 1 (* x x)) (- 1 (/ 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 1 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1 2 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 1 2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 1 2) * [misc]approximate: Taking taylor expansion of (* (cbrt (- x 1)) (cbrt (- x 1))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (cbrt (- x 1)) (cbrt (- x 1))) in x * [misc]taylor: Taking taylor expansion of (cbrt (- x 1)) in x * [misc]taylor: Rewrote expression to (pow (- x 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- x 1)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- x 1))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- x 1)) in x * [misc]taylor: Taking taylor expansion of (- x 1) in x * [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 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (- x 1)) in x * [misc]taylor: Rewrote expression to (pow (- x 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- x 1)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- x 1))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- x 1)) in x * [misc]taylor: Taking taylor expansion of (- x 1) in x * [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 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) * [misc]taylor: Taking taylor expansion of (* (cbrt (- x 1)) (cbrt (- x 1))) in x * [misc]taylor: Taking taylor expansion of (cbrt (- x 1)) in x * [misc]taylor: Rewrote expression to (pow (- x 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- x 1)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- x 1))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- x 1)) in x * [misc]taylor: Taking taylor expansion of (- x 1) in x * [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 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (- x 1)) in x * [misc]taylor: Rewrote expression to (pow (- x 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- x 1)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- x 1))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- x 1)) in x * [misc]taylor: Taking taylor expansion of (- x 1) in x * [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 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) * [misc]backup-simplify: Simplify (* (pow -1 1/3) (pow -1 1/3)) into (pow (pow -1 2) 1/3) * [misc]backup-simplify: Simplify (pow (pow -1 2) 1/3) into (pow (pow -1 2) 1/3) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (+ (* 1/3 -1) (* 0 (log -1))) into -1/3 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow -1/3 1) 1)))) into (* -1/3 (pow -1 1/3)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (+ (* 1/3 -1) (* 0 (log -1))) into -1/3 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow -1/3 1) 1)))) into (* -1/3 (pow -1 1/3)) * [misc]backup-simplify: Simplify (+ (* (pow -1 1/3) (* -1/3 (pow -1 1/3))) (* (* -1/3 (pow -1 1/3)) (pow -1 1/3))) into (- 2/3) * [misc]backup-simplify: Simplify (- 2/3) into -2/3 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 -1) (* 0 (log -1)))) into -1/6 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow -1/3 2) 2)) (* (/ (pow -1/6 1) 1)))) into (* -1/9 (pow -1 1/3)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 -1) (* 0 (log -1)))) into -1/6 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow -1/3 2) 2)) (* (/ (pow -1/6 1) 1)))) into (* -1/9 (pow -1 1/3)) * [misc]backup-simplify: Simplify (+ (* (pow -1 1/3) (* -1/9 (pow -1 1/3))) (+ (* (* -1/3 (pow -1 1/3)) (* -1/3 (pow -1 1/3))) (* (* -1/9 (pow -1 1/3)) (pow -1 1/3)))) into (- 1/9) * [misc]backup-simplify: Simplify (- 1/9) into -1/9 * [misc]backup-simplify: Simplify (+ (* -1/9 (pow x 2)) (+ (* -2/3 x) (pow (pow -1 2) 1/3))) into (- (pow (pow -1 2) 1/3) (+ (* 2/3 x) (* 1/9 (pow x 2)))) * [misc]approximate: Taking taylor expansion of (* (cbrt (- (/ 1 x) 1)) (cbrt (- (/ 1 x) 1))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (cbrt (- (/ 1 x) 1)) (cbrt (- (/ 1 x) 1))) in x * [misc]taylor: Taking taylor expansion of (cbrt (- (/ 1 x) 1)) in x * [misc]taylor: Rewrote expression to (pow (- (/ 1 x) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 x) 1)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ 1 x) 1))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (/ 1 x) 1)) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 x) 1) 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 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) 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 x) 1)) in x * [misc]taylor: Rewrote expression to (pow (- (/ 1 x) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 x) 1)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ 1 x) 1))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (/ 1 x) 1)) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 x) 1) 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 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) 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 x) 1)) (cbrt (- (/ 1 x) 1))) in x * [misc]taylor: Taking taylor expansion of (cbrt (- (/ 1 x) 1)) in x * [misc]taylor: Rewrote expression to (pow (- (/ 1 x) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 x) 1)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ 1 x) 1))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (/ 1 x) 1)) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 x) 1) 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 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) 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 x) 1)) in x * [misc]taylor: Rewrote expression to (pow (- (/ 1 x) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 x) 1)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ 1 x) 1))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (/ 1 x) 1)) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 x) 1) 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 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) 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 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 -1) (* 0 (- (log x)))) into (- 1/3) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log x))) (+ (* (/ (pow (- 1/3) 1) 1)))) into (* -1/3 (pow (/ 1 x) 1/3)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 -1) (* 0 (- (log x)))) into (- 1/3) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log x))) (+ (* (/ (pow (- 1/3) 1) 1)))) into (* -1/3 (pow (/ 1 x) 1/3)) * [misc]backup-simplify: Simplify (+ (* (pow x -1/3) (* -1/3 (pow (/ 1 x) 1/3))) (* (* -1/3 (pow (/ 1 x) 1/3)) (pow x -1/3))) into (- (* 2/3 (pow (/ 1 (pow x 2)) 1/3))) * [misc]backup-simplify: Simplify (- (* 2/3 (pow (/ 1 (pow x 2)) 1/3))) into (- (* 2/3 (pow (/ 1 (pow x 2)) 1/3))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 -1) (* 0 (- (log x))))) into (- 1/6) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log x))) (+ (* (/ (pow (- 1/3) 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (pow (/ 1 x) 1/3)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 -1) (* 0 (- (log x))))) into (- 1/6) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log x))) (+ (* (/ (pow (- 1/3) 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (pow (/ 1 x) 1/3)) * [misc]backup-simplify: Simplify (+ (* (pow x -1/3) (* -1/9 (pow (/ 1 x) 1/3))) (+ (* (* -1/3 (pow (/ 1 x) 1/3)) (* -1/3 (pow (/ 1 x) 1/3))) (* (* -1/9 (pow (/ 1 x) 1/3)) (pow x -1/3)))) into (- (* 1/9 (pow (/ 1 (pow x 2)) 1/3))) * [misc]backup-simplify: Simplify (- (* 1/9 (pow (/ 1 (pow x 2)) 1/3))) into (- (* 1/9 (pow (/ 1 (pow x 2)) 1/3))) * [misc]backup-simplify: Simplify (+ (* (- (* 1/9 (pow (/ 1 (pow (/ 1 x) 2)) 1/3))) (pow (/ 1 x) 2)) (+ (* (- (* 2/3 (pow (/ 1 (pow (/ 1 x) 2)) 1/3))) (/ 1 x)) (pow (/ 1 (pow (/ 1 x) 2)) 1/3))) into (- (pow (pow x 2) 1/3) (+ (* 2/3 (pow (/ 1 x) 1/3)) (* 1/9 (pow (/ 1 (pow x 4)) 1/3)))) * [misc]approximate: Taking taylor expansion of (* (cbrt (- (/ 1 (- x)) 1)) (cbrt (- (/ 1 (- x)) 1))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (cbrt (- (/ 1 (- x)) 1)) (cbrt (- (/ 1 (- x)) 1))) in x * [misc]taylor: Taking taylor expansion of (cbrt (- (/ 1 (- x)) 1)) in x * [misc]taylor: Rewrote expression to (pow (- (/ 1 (- x)) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (- x)) 1)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ 1 (- x)) 1))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (/ 1 (- x)) 1)) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 (- x)) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log x))) into (* 1/3 (- (log -1) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log x)))) into (exp (* 1/3 (- (log -1) (log x)))) * [misc]taylor: Taking taylor expansion of (cbrt (- (/ 1 (- x)) 1)) in x * [misc]taylor: Rewrote expression to (pow (- (/ 1 (- x)) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (- x)) 1)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ 1 (- x)) 1))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (/ 1 (- x)) 1)) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 (- x)) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log x))) into (* 1/3 (- (log -1) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log x)))) into (exp (* 1/3 (- (log -1) (log x)))) * [misc]taylor: Taking taylor expansion of (* (cbrt (- (/ 1 (- x)) 1)) (cbrt (- (/ 1 (- x)) 1))) in x * [misc]taylor: Taking taylor expansion of (cbrt (- (/ 1 (- x)) 1)) in x * [misc]taylor: Rewrote expression to (pow (- (/ 1 (- x)) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (- x)) 1)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ 1 (- x)) 1))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (/ 1 (- x)) 1)) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 (- x)) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log x))) into (* 1/3 (- (log -1) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log x)))) into (exp (* 1/3 (- (log -1) (log x)))) * [misc]taylor: Taking taylor expansion of (cbrt (- (/ 1 (- x)) 1)) in x * [misc]taylor: Rewrote expression to (pow (- (/ 1 (- x)) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (- x)) 1)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ 1 (- x)) 1))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (/ 1 (- x)) 1)) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 (- x)) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log x))) into (* 1/3 (- (log -1) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log x)))) into (exp (* 1/3 (- (log -1) (log x)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log x)))) (exp (* 1/3 (- (log -1) (log x))))) into (pow (exp (* 1/3 (- (log -1) (log x)))) 2) * [misc]backup-simplify: Simplify (pow (exp (* 1/3 (- (log -1) (log x)))) 2) into (pow (exp (* 1/3 (- (log -1) (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) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow -1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 1) (* 0 (- (log -1) (log x)))) into 1/3 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log x)))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (exp (* 1/3 (- (log -1) (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) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow -1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 1) (* 0 (- (log -1) (log x)))) into 1/3 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log x)))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (exp (* 1/3 (- (log -1) (log x))))) * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (- (log -1) (log x)))) (* 1/3 (exp (* 1/3 (- (log -1) (log x)))))) (* (* 1/3 (exp (* 1/3 (- (log -1) (log x))))) (exp (* 1/3 (- (log -1) (log x)))))) into (* 2/3 (pow (exp (* 1/3 (- (log -1) (log x)))) 2)) * [misc]backup-simplify: Simplify (* 2/3 (pow (exp (* 1/3 (- (log -1) (log x)))) 2)) into (* 2/3 (pow (exp (* 1/3 (- (log -1) (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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 (- (log -1) (log x))))) into (- 1/6) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log x)))) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (exp (* 1/3 (- (log -1) (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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 (- (log -1) (log x))))) into (- 1/6) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log x)))) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (exp (* 1/3 (- (log -1) (log x))))) * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (- (log -1) (log x)))) (* -1/9 (exp (* 1/3 (- (log -1) (log x)))))) (+ (* (* 1/3 (exp (* 1/3 (- (log -1) (log x))))) (* 1/3 (exp (* 1/3 (- (log -1) (log x)))))) (* (* -1/9 (exp (* 1/3 (- (log -1) (log x))))) (exp (* 1/3 (- (log -1) (log x))))))) into (- (* 1/9 (pow (exp (* 1/3 (- (log -1) (log x)))) 2))) * [misc]backup-simplify: Simplify (- (* 1/9 (pow (exp (* 1/3 (- (log -1) (log x)))) 2))) into (- (* 1/9 (pow (exp (* 1/3 (- (log -1) (log x)))) 2))) * [misc]backup-simplify: Simplify (+ (* (- (* 1/9 (pow (exp (* 1/3 (- (log -1) (log (/ 1 (- x)))))) 2))) (pow (/ 1 (- x)) 2)) (+ (* (* 2/3 (pow (exp (* 1/3 (- (log -1) (log (/ 1 (- x)))))) 2)) (/ 1 (- x))) (pow (exp (* 1/3 (- (log -1) (log (/ 1 (- x)))))) 2))) into (- (pow (exp (* 1/3 (- (log -1) (log (/ -1 x))))) 2) (+ (* 1/9 (/ (pow (exp (* 1/3 (- (log -1) (log (/ -1 x))))) 2) (pow x 2))) (* 2/3 (/ (pow (exp (* 1/3 (- (log -1) (log (/ -1 x))))) 2) x)))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 2) * [misc]approximate: Taking taylor expansion of (cbrt (- x 1)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (- x 1)) in x * [misc]taylor: Rewrote expression to (pow (- x 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- x 1)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- x 1))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- x 1)) in x * [misc]taylor: Taking taylor expansion of (- x 1) in x * [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 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (- x 1)) in x * [misc]taylor: Rewrote expression to (pow (- x 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- x 1)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- x 1))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- x 1)) in x * [misc]taylor: Taking taylor expansion of (- x 1) in x * [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 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) * [misc]backup-simplify: Simplify (pow -1 1/3) into (pow -1 1/3) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (+ (* 1/3 -1) (* 0 (log -1))) into -1/3 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow -1/3 1) 1)))) into (* -1/3 (pow -1 1/3)) * [misc]backup-simplify: Simplify (* -1/3 (pow -1 1/3)) into (* -1/3 (pow -1 1/3)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 -1) (* 0 (log -1)))) into -1/6 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow -1/3 2) 2)) (* (/ (pow -1/6 1) 1)))) into (* -1/9 (pow -1 1/3)) * [misc]backup-simplify: Simplify (* -1/9 (pow -1 1/3)) into (* -1/9 (pow -1 1/3)) * [misc]backup-simplify: Simplify (+ (* (* -1/9 (pow -1 1/3)) (pow x 2)) (+ (* (* -1/3 (pow -1 1/3)) x) (pow -1 1/3))) into (- (pow -1 1/3) (+ (* 1/3 (* x (pow -1 1/3))) (* 1/9 (* (pow x 2) (pow -1 1/3))))) * [misc]approximate: Taking taylor expansion of (cbrt (- (/ 1 x) 1)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (- (/ 1 x) 1)) in x * [misc]taylor: Rewrote expression to (pow (- (/ 1 x) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 x) 1)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ 1 x) 1))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (/ 1 x) 1)) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 x) 1) 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 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) 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 x) 1)) in x * [misc]taylor: Rewrote expression to (pow (- (/ 1 x) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 x) 1)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ 1 x) 1))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (/ 1 x) 1)) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 x) 1) 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 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) 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 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 -1) (* 0 (- (log x)))) into (- 1/3) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log x))) (+ (* (/ (pow (- 1/3) 1) 1)))) into (* -1/3 (pow (/ 1 x) 1/3)) * [misc]backup-simplify: Simplify (* -1/3 (pow (/ 1 x) 1/3)) into (* -1/3 (pow (/ 1 x) 1/3)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 -1) (* 0 (- (log x))))) into (- 1/6) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log x))) (+ (* (/ (pow (- 1/3) 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (pow (/ 1 x) 1/3)) * [misc]backup-simplify: Simplify (* -1/9 (pow (/ 1 x) 1/3)) into (* -1/9 (pow (/ 1 x) 1/3)) * [misc]backup-simplify: Simplify (+ (* (* -1/9 (pow (/ 1 (/ 1 x)) 1/3)) (pow (/ 1 x) 2)) (+ (* (* -1/3 (pow (/ 1 (/ 1 x)) 1/3)) (/ 1 x)) (pow (/ 1 x) -1/3))) into (- (pow (/ 1 x) -1/3) (+ (* 1/3 (pow (/ 1 (pow x 2)) 1/3)) (* 1/9 (pow (/ 1 (pow x 5)) 1/3)))) * [misc]approximate: Taking taylor expansion of (cbrt (- (/ 1 (- x)) 1)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (- (/ 1 (- x)) 1)) in x * [misc]taylor: Rewrote expression to (pow (- (/ 1 (- x)) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (- x)) 1)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ 1 (- x)) 1))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (/ 1 (- x)) 1)) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 (- x)) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log x))) into (* 1/3 (- (log -1) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log x)))) into (exp (* 1/3 (- (log -1) (log x)))) * [misc]taylor: Taking taylor expansion of (cbrt (- (/ 1 (- x)) 1)) in x * [misc]taylor: Rewrote expression to (pow (- (/ 1 (- x)) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (- x)) 1)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ 1 (- x)) 1))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (/ 1 (- x)) 1)) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 (- x)) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log x))) into (* 1/3 (- (log -1) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log x)))) into (exp (* 1/3 (- (log -1) (log x)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log x)))) into (exp (* 1/3 (- (log -1) (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) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow -1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 1) (* 0 (- (log -1) (log x)))) into 1/3 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log x)))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (exp (* 1/3 (- (log -1) (log x))))) * [misc]backup-simplify: Simplify (* 1/3 (exp (* 1/3 (- (log -1) (log x))))) into (* 1/3 (exp (* 1/3 (- (log -1) (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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 (- (log -1) (log x))))) into (- 1/6) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log x)))) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (exp (* 1/3 (- (log -1) (log x))))) * [misc]backup-simplify: Simplify (* -1/9 (exp (* 1/3 (- (log -1) (log x))))) into (* -1/9 (exp (* 1/3 (- (log -1) (log x))))) * [misc]backup-simplify: Simplify (+ (* (* -1/9 (exp (* 1/3 (- (log -1) (log (/ 1 (- x))))))) (pow (/ 1 (- x)) 2)) (+ (* (* 1/3 (exp (* 1/3 (- (log -1) (log (/ 1 (- x))))))) (/ 1 (- x))) (exp (* 1/3 (- (log -1) (log (/ 1 (- x)))))))) into (- (exp (* 1/3 (- (log -1) (log (/ -1 x))))) (+ (* 1/3 (/ (exp (* 1/3 (- (log -1) (log (/ -1 x))))) x)) (* 1/9 (/ (exp (* 1/3 (- (log -1) (log (/ -1 x))))) (pow x 2))))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 1 2 2) * [misc]approximate: Taking taylor expansion of (cbrt (- x 1)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (- x 1)) in x * [misc]taylor: Rewrote expression to (pow (- x 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- x 1)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- x 1))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- x 1)) in x * [misc]taylor: Taking taylor expansion of (- x 1) in x * [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 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (- x 1)) in x * [misc]taylor: Rewrote expression to (pow (- x 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- x 1)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- x 1))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- x 1)) in x * [misc]taylor: Taking taylor expansion of (- x 1) in x * [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 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) * [misc]backup-simplify: Simplify (pow -1 1/3) into (pow -1 1/3) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (+ (* 1/3 -1) (* 0 (log -1))) into -1/3 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow -1/3 1) 1)))) into (* -1/3 (pow -1 1/3)) * [misc]backup-simplify: Simplify (* -1/3 (pow -1 1/3)) into (* -1/3 (pow -1 1/3)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 -1) (* 0 (log -1)))) into -1/6 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow -1/3 2) 2)) (* (/ (pow -1/6 1) 1)))) into (* -1/9 (pow -1 1/3)) * [misc]backup-simplify: Simplify (* -1/9 (pow -1 1/3)) into (* -1/9 (pow -1 1/3)) * [misc]backup-simplify: Simplify (+ (* (* -1/9 (pow -1 1/3)) (pow x 2)) (+ (* (* -1/3 (pow -1 1/3)) x) (pow -1 1/3))) into (- (pow -1 1/3) (+ (* 1/3 (* x (pow -1 1/3))) (* 1/9 (* (pow x 2) (pow -1 1/3))))) * [misc]approximate: Taking taylor expansion of (cbrt (- (/ 1 x) 1)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (- (/ 1 x) 1)) in x * [misc]taylor: Rewrote expression to (pow (- (/ 1 x) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 x) 1)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ 1 x) 1))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (/ 1 x) 1)) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 x) 1) 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 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) 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 x) 1)) in x * [misc]taylor: Rewrote expression to (pow (- (/ 1 x) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 x) 1)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ 1 x) 1))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (/ 1 x) 1)) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 x) 1) 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 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) 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 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 -1) (* 0 (- (log x)))) into (- 1/3) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log x))) (+ (* (/ (pow (- 1/3) 1) 1)))) into (* -1/3 (pow (/ 1 x) 1/3)) * [misc]backup-simplify: Simplify (* -1/3 (pow (/ 1 x) 1/3)) into (* -1/3 (pow (/ 1 x) 1/3)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 -1) (* 0 (- (log x))))) into (- 1/6) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log x))) (+ (* (/ (pow (- 1/3) 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (pow (/ 1 x) 1/3)) * [misc]backup-simplify: Simplify (* -1/9 (pow (/ 1 x) 1/3)) into (* -1/9 (pow (/ 1 x) 1/3)) * [misc]backup-simplify: Simplify (+ (* (* -1/9 (pow (/ 1 (/ 1 x)) 1/3)) (pow (/ 1 x) 2)) (+ (* (* -1/3 (pow (/ 1 (/ 1 x)) 1/3)) (/ 1 x)) (pow (/ 1 x) -1/3))) into (- (pow (/ 1 x) -1/3) (+ (* 1/3 (pow (/ 1 (pow x 2)) 1/3)) (* 1/9 (pow (/ 1 (pow x 5)) 1/3)))) * [misc]approximate: Taking taylor expansion of (cbrt (- (/ 1 (- x)) 1)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (- (/ 1 (- x)) 1)) in x * [misc]taylor: Rewrote expression to (pow (- (/ 1 (- x)) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (- x)) 1)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ 1 (- x)) 1))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (/ 1 (- x)) 1)) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 (- x)) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log x))) into (* 1/3 (- (log -1) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log x)))) into (exp (* 1/3 (- (log -1) (log x)))) * [misc]taylor: Taking taylor expansion of (cbrt (- (/ 1 (- x)) 1)) in x * [misc]taylor: Rewrote expression to (pow (- (/ 1 (- x)) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (- x)) 1)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ 1 (- x)) 1))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (/ 1 (- x)) 1)) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 (- x)) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log x))) into (* 1/3 (- (log -1) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log x)))) into (exp (* 1/3 (- (log -1) (log x)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log x)))) into (exp (* 1/3 (- (log -1) (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) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow -1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 1) (* 0 (- (log -1) (log x)))) into 1/3 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log x)))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (exp (* 1/3 (- (log -1) (log x))))) * [misc]backup-simplify: Simplify (* 1/3 (exp (* 1/3 (- (log -1) (log x))))) into (* 1/3 (exp (* 1/3 (- (log -1) (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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 (- (log -1) (log x))))) into (- 1/6) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log x)))) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (exp (* 1/3 (- (log -1) (log x))))) * [misc]backup-simplify: Simplify (* -1/9 (exp (* 1/3 (- (log -1) (log x))))) into (* -1/9 (exp (* 1/3 (- (log -1) (log x))))) * [misc]backup-simplify: Simplify (+ (* (* -1/9 (exp (* 1/3 (- (log -1) (log (/ 1 (- x))))))) (pow (/ 1 (- x)) 2)) (+ (* (* 1/3 (exp (* 1/3 (- (log -1) (log (/ 1 (- x))))))) (/ 1 (- x))) (exp (* 1/3 (- (log -1) (log (/ 1 (- x)))))))) into (- (exp (* 1/3 (- (log -1) (log (/ -1 x))))) (+ (* 1/3 (/ (exp (* 1/3 (- (log -1) (log (/ -1 x))))) x)) (* 1/9 (/ (exp (* 1/3 (- (log -1) (log (/ -1 x))))) (pow x 2))))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 1 2 1) * [misc]approximate: Taking taylor expansion of (cbrt (- x 1)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (- x 1)) in x * [misc]taylor: Rewrote expression to (pow (- x 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- x 1)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- x 1))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- x 1)) in x * [misc]taylor: Taking taylor expansion of (- x 1) in x * [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 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (- x 1)) in x * [misc]taylor: Rewrote expression to (pow (- x 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- x 1)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- x 1))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- x 1)) in x * [misc]taylor: Taking taylor expansion of (- x 1) in x * [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 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) * [misc]backup-simplify: Simplify (pow -1 1/3) into (pow -1 1/3) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (+ (* 1/3 -1) (* 0 (log -1))) into -1/3 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow -1/3 1) 1)))) into (* -1/3 (pow -1 1/3)) * [misc]backup-simplify: Simplify (* -1/3 (pow -1 1/3)) into (* -1/3 (pow -1 1/3)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 -1) (* 0 (log -1)))) into -1/6 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow -1/3 2) 2)) (* (/ (pow -1/6 1) 1)))) into (* -1/9 (pow -1 1/3)) * [misc]backup-simplify: Simplify (* -1/9 (pow -1 1/3)) into (* -1/9 (pow -1 1/3)) * [misc]backup-simplify: Simplify (+ (* (* -1/9 (pow -1 1/3)) (pow x 2)) (+ (* (* -1/3 (pow -1 1/3)) x) (pow -1 1/3))) into (- (pow -1 1/3) (+ (* 1/3 (* x (pow -1 1/3))) (* 1/9 (* (pow x 2) (pow -1 1/3))))) * [misc]approximate: Taking taylor expansion of (cbrt (- (/ 1 x) 1)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (- (/ 1 x) 1)) in x * [misc]taylor: Rewrote expression to (pow (- (/ 1 x) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 x) 1)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ 1 x) 1))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (/ 1 x) 1)) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 x) 1) 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 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) 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 x) 1)) in x * [misc]taylor: Rewrote expression to (pow (- (/ 1 x) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 x) 1)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ 1 x) 1))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (/ 1 x) 1)) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 x) 1) 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 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) 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 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 -1) (* 0 (- (log x)))) into (- 1/3) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log x))) (+ (* (/ (pow (- 1/3) 1) 1)))) into (* -1/3 (pow (/ 1 x) 1/3)) * [misc]backup-simplify: Simplify (* -1/3 (pow (/ 1 x) 1/3)) into (* -1/3 (pow (/ 1 x) 1/3)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 -1) (* 0 (- (log x))))) into (- 1/6) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log x))) (+ (* (/ (pow (- 1/3) 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (pow (/ 1 x) 1/3)) * [misc]backup-simplify: Simplify (* -1/9 (pow (/ 1 x) 1/3)) into (* -1/9 (pow (/ 1 x) 1/3)) * [misc]backup-simplify: Simplify (+ (* (* -1/9 (pow (/ 1 (/ 1 x)) 1/3)) (pow (/ 1 x) 2)) (+ (* (* -1/3 (pow (/ 1 (/ 1 x)) 1/3)) (/ 1 x)) (pow (/ 1 x) -1/3))) into (- (pow (/ 1 x) -1/3) (+ (* 1/3 (pow (/ 1 (pow x 2)) 1/3)) (* 1/9 (pow (/ 1 (pow x 5)) 1/3)))) * [misc]approximate: Taking taylor expansion of (cbrt (- (/ 1 (- x)) 1)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (- (/ 1 (- x)) 1)) in x * [misc]taylor: Rewrote expression to (pow (- (/ 1 (- x)) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (- x)) 1)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ 1 (- x)) 1))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (/ 1 (- x)) 1)) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 (- x)) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log x))) into (* 1/3 (- (log -1) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log x)))) into (exp (* 1/3 (- (log -1) (log x)))) * [misc]taylor: Taking taylor expansion of (cbrt (- (/ 1 (- x)) 1)) in x * [misc]taylor: Rewrote expression to (pow (- (/ 1 (- x)) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (- x)) 1)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ 1 (- x)) 1))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (/ 1 (- x)) 1)) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 (- x)) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log x))) into (* 1/3 (- (log -1) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log x)))) into (exp (* 1/3 (- (log -1) (log x)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log x)))) into (exp (* 1/3 (- (log -1) (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) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow -1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 1) (* 0 (- (log -1) (log x)))) into 1/3 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log x)))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (exp (* 1/3 (- (log -1) (log x))))) * [misc]backup-simplify: Simplify (* 1/3 (exp (* 1/3 (- (log -1) (log x))))) into (* 1/3 (exp (* 1/3 (- (log -1) (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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 (- (log -1) (log x))))) into (- 1/6) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log x)))) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (exp (* 1/3 (- (log -1) (log x))))) * [misc]backup-simplify: Simplify (* -1/9 (exp (* 1/3 (- (log -1) (log x))))) into (* -1/9 (exp (* 1/3 (- (log -1) (log x))))) * [misc]backup-simplify: Simplify (+ (* (* -1/9 (exp (* 1/3 (- (log -1) (log (/ 1 (- x))))))) (pow (/ 1 (- x)) 2)) (+ (* (* 1/3 (exp (* 1/3 (- (log -1) (log (/ 1 (- x))))))) (/ 1 (- x))) (exp (* 1/3 (- (log -1) (log (/ 1 (- x)))))))) into (- (exp (* 1/3 (- (log -1) (log (/ -1 x))))) (+ (* 1/3 (/ (exp (* 1/3 (- (log -1) (log (/ -1 x))))) x)) (* 1/9 (/ (exp (* 1/3 (- (log -1) (log (/ -1 x))))) (pow x 2))))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (- x 1) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (- x 1) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (x) (+ (/ (/ 1 (pow (- x 1) (+ 1/3 1/3))) (cbrt (- x 1))) (/ x (+ x 1)))) * [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 2) to (λ (x) (+ (/ (/ 1 (pow (- x 1) (+ 1/3 1/3))) (cbrt (- x 1))) (/ x (+ x 1)))) * * * * [misc]progress: [ 4 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- 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 (cbrt (- x 1)) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (x) (+ (/ (/ 1 (pow (cbrt (- x 1)) (+ 1 1))) (cbrt (- x 1))) (/ x (+ x 1)))) * [enter]simplify: Simplifying (+ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (+ 1 1) * [misc]simplify: Simplified (2 1 1 2 2) to (λ (x) (+ (/ (/ 1 (pow (cbrt (- x 1)) (+ 1 1))) (cbrt (- x 1))) (/ x (+ x 1)))) * * * * [misc]progress: [ 5 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- x 1) (- x 1)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (* (- x 1) (- x 1)) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (x) (+ (/ (/ 1 (pow (* (- x 1) (- x 1)) 1/3)) (cbrt (- x 1))) (/ x (+ x 1)))) * * * * [misc]progress: [ 6 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- x 1)) (cbrt (- 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 (* (cbrt (- x 1)) (cbrt (- x 1))) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (x) (+ (/ (/ 1 (pow (* (cbrt (- x 1)) (cbrt (- x 1))) 1)) (cbrt (- x 1))) (/ x (+ x 1)))) * * * * [misc]progress: [ 7 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- 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 (cbrt (- x 1)) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (x) (+ (/ (/ 1 (pow (cbrt (- x 1)) (+ 1 1))) (cbrt (- x 1))) (/ x (+ x 1)))) * * * * [misc]progress: [ 9 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (cbrt (- x 1))) (log (cbrt (- 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 (+ (log (cbrt (- x 1))) (log (cbrt (- x 1)))) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (x) (+ (/ (/ 1 (exp (+ (log (cbrt (- x 1))) (log (cbrt (- x 1)))))) (cbrt (- x 1))) (/ x (+ x 1)))) * * * * [misc]progress: [ 11 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- x 1) (- x 1)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (* (- x 1) (- x 1)) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (x) (+ (/ (/ 1 (cbrt (* (- x 1) (- x 1)))) (cbrt (- x 1))) (/ x (+ x 1)))) * * * * [misc]progress: [ 14 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (pow x 3) (pow 1 3))) (cbrt (- (pow x 3) (pow 1 3)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * [exit]simplify: Simplified to (* (cbrt (fma (* x x) x (- 1))) (cbrt (fma (* x x) x (- 1)))) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (x) (+ (/ (/ 1 (/ (* (cbrt (fma (* x x) x (- 1))) (cbrt (fma (* x x) x (- 1)))) (* (cbrt (+ (* x x) (+ (* 1 1) (* x 1)))) (cbrt (+ (* x x) (+ (* 1 1) (* x 1))))))) (cbrt (- x 1))) (/ x (+ x 1)))) * [enter]simplify: Simplifying (* (cbrt (+ (* x x) (+ (* 1 1) (* x 1)))) (cbrt (+ (* x x) (+ (* 1 1) (* x 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (* (cbrt (+ 1 (fma x x x))) (cbrt (+ 1 (fma x x x)))) * [misc]simplify: Simplified (2 1 1 2 2) to (λ (x) (+ (/ (/ 1 (/ (* (cbrt (- (pow x 3) (pow 1 3))) (cbrt (- (pow x 3) (pow 1 3)))) (* (cbrt (+ 1 (fma x x x))) (cbrt (+ 1 (fma x x x)))))) (cbrt (- x 1))) (/ x (+ x 1)))) * * * * [misc]progress: [ 18 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (pow x 3) (pow 1 3))) (cbrt (- (* x x) (* 1 1)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (72 enodes) * * [misc]simplify: iters left: 1 (107 enodes) * [exit]simplify: Simplified to (* (cbrt (- (* x x) 1)) (cbrt (fma (* x x) x (- 1)))) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (x) (+ (/ (/ 1 (/ (* (cbrt (- (* x x) 1)) (cbrt (fma (* x x) x (- 1)))) (* (cbrt (+ (* x x) (+ (* 1 1) (* x 1)))) (cbrt (+ x 1))))) (cbrt (- x 1))) (/ x (+ x 1)))) * [enter]simplify: Simplifying (* (cbrt (+ (* x x) (+ (* 1 1) (* x 1)))) (cbrt (+ x 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (* (cbrt (+ x 1)) (cbrt (+ (fma x x x) 1))) * [misc]simplify: Simplified (2 1 1 2 2) to (λ (x) (+ (/ (/ 1 (/ (* (cbrt (- (* x x) 1)) (cbrt (fma (* x x) x (- 1)))) (* (cbrt (+ x 1)) (cbrt (+ (fma x x x) 1))))) (cbrt (- x 1))) (/ x (+ x 1)))) * * * * [misc]progress: [ 19 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (* x x) (* 1 1))) (cbrt (- (pow x 3) (pow 1 3)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (106 enodes) * [exit]simplify: Simplified to (* (cbrt (- (* x x) 1)) (cbrt (fma (* x x) x (- 1)))) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (x) (+ (/ (/ 1 (/ (* (cbrt (- (* x x) 1)) (cbrt (fma (* x x) x (- 1)))) (* (cbrt (+ x 1)) (cbrt (+ (* x x) (+ (* 1 1) (* x 1))))))) (cbrt (- x 1))) (/ x (+ x 1)))) * [enter]simplify: Simplifying (* (cbrt (+ x 1)) (cbrt (+ (* x x) (+ (* 1 1) (* x 1))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (* (cbrt (+ 1 x)) (cbrt (+ (fma x x 1) x))) * [misc]simplify: Simplified (2 1 1 2 2) to (λ (x) (+ (/ (/ 1 (/ (* (cbrt (- (* x x) 1)) (cbrt (fma (* x x) x (- 1)))) (* (cbrt (+ 1 x)) (cbrt (+ (fma x x 1) x))))) (cbrt (- x 1))) (/ x (+ x 1)))) * * * * [misc]progress: [ 20 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (* x x) (* 1 1))) (cbrt (- (* x x) (* 1 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (79 enodes) * [exit]simplify: Simplified to (* (cbrt (- (* x x) 1)) (cbrt (- (* x x) 1))) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (x) (+ (/ (/ 1 (/ (* (cbrt (- (* x x) 1)) (cbrt (- (* x x) 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1))))) (cbrt (- x 1))) (/ x (+ x 1)))) * [enter]simplify: Simplifying (* (cbrt (+ x 1)) (cbrt (+ x 1))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (* (cbrt (+ 1 x)) (cbrt (+ 1 x))) * [misc]simplify: Simplified (2 1 1 2 2) to (λ (x) (+ (/ (/ 1 (/ (* (cbrt (- (* x x) 1)) (cbrt (- (* x x) 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) (cbrt (- x 1))) (/ x (+ x 1)))) * * * * [misc]progress: [ 21 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cbrt (- 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 (cbrt (- x 1))) * [misc]simplify: Simplified (2 1 1 2 2) to (λ (x) (+ (/ (/ 1 (* (* (cbrt (- x 1)) (cbrt (* (cbrt (- x 1)) (cbrt (- x 1))))) (cbrt (cbrt (- x 1))))) (cbrt (- x 1))) (/ x (+ x 1)))) * * * * [misc]progress: [ 23 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (- 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 (sqrt (- x 1))) * [misc]simplify: Simplified (2 1 1 2 2) to (λ (x) (+ (/ (/ 1 (* (* (cbrt (- x 1)) (cbrt (sqrt (- x 1)))) (cbrt (sqrt (- x 1))))) (cbrt (- x 1))) (/ x (+ x 1)))) * * * * [misc]progress: [ 24 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- 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 (cbrt (- x 1)) * [misc]simplify: Simplified (2 1 1 2 2) to (λ (x) (+ (/ (/ 1 (* (* (cbrt (- x 1)) (cbrt 1)) (cbrt (- x 1)))) (cbrt (- x 1))) (/ x (+ x 1)))) * * * * [misc]progress: [ 25 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cbrt (- 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 (cbrt (- x 1))) * [misc]simplify: Simplified (2 1 1 2 2) to (λ (x) (+ (/ (/ 1 (* (* (cbrt (- x 1)) (* (cbrt (cbrt (- x 1))) (cbrt (cbrt (- x 1))))) (cbrt (cbrt (- x 1))))) (cbrt (- x 1))) (/ x (+ x 1)))) * * * * [misc]progress: [ 26 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (- 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 (cbrt (- x 1))) * [misc]simplify: Simplified (2 1 1 2 2) to (λ (x) (+ (/ (/ 1 (* (* (cbrt (- x 1)) (sqrt (cbrt (- x 1)))) (sqrt (cbrt (- x 1))))) (cbrt (- x 1))) (/ x (+ x 1)))) * * * * [misc]progress: [ 27 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- 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 (cbrt (- x 1)) * [misc]simplify: Simplified (2 1 1 2 2) to (λ (x) (+ (/ (/ 1 (* (* (cbrt (- x 1)) 1) (cbrt (- x 1)))) (cbrt (- x 1))) (/ x (+ x 1)))) * * * * [misc]progress: [ 28 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (- x 1)) (cbrt (- 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 (cbrt (* (cbrt (- x 1)) (cbrt (- x 1)))) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (x) (+ (/ (/ 1 (* (cbrt (* (cbrt (- x 1)) (cbrt (- x 1)))) (* (cbrt (cbrt (- x 1))) (cbrt (- x 1))))) (cbrt (- x 1))) (/ x (+ x 1)))) * * * * [misc]progress: [ 29 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (- 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 (sqrt (- x 1))) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (x) (+ (/ (/ 1 (* (cbrt (sqrt (- x 1))) (* (cbrt (sqrt (- x 1))) (cbrt (- x 1))))) (cbrt (- x 1))) (/ x (+ x 1)))) * * * * [misc]progress: [ 30 / 95 ] 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 2 1) to (λ (x) (+ (/ (/ 1 (* (cbrt 1) (* (cbrt (- x 1)) (cbrt (- x 1))))) (cbrt (- x 1))) (/ x (+ x 1)))) * * * * [misc]progress: [ 31 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cbrt (- x 1))) (cbrt (cbrt (- 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 (* (cbrt (cbrt (- x 1))) (cbrt (cbrt (- x 1)))) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (x) (+ (/ (/ 1 (* (* (cbrt (cbrt (- x 1))) (cbrt (cbrt (- x 1)))) (* (cbrt (cbrt (- x 1))) (cbrt (- x 1))))) (cbrt (- x 1))) (/ x (+ x 1)))) * * * * [misc]progress: [ 32 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (- 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 (cbrt (- x 1))) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (x) (+ (/ (/ 1 (* (sqrt (cbrt (- x 1))) (* (sqrt (cbrt (- x 1))) (cbrt (- x 1))))) (cbrt (- x 1))) (/ x (+ x 1)))) * * * * [misc]progress: [ 33 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (* x x) (+ (* 1 1) (* x 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (36 enodes) * [exit]simplify: Simplified to (cbrt (fma (+ x 1) x 1)) * [misc]simplify: Simplified (2 1 1 2 2) to (λ (x) (+ (/ (/ 1 (/ (* (cbrt (- x 1)) (cbrt (- (pow x 3) (pow 1 3)))) (cbrt (fma (+ x 1) x 1)))) (cbrt (- x 1))) (/ x (+ x 1)))) * * * * [misc]progress: [ 35 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ x 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (cbrt (+ 1 x)) * [misc]simplify: Simplified (2 1 1 2 2) to (λ (x) (+ (/ (/ 1 (/ (* (cbrt (- x 1)) (cbrt (- (* x x) (* 1 1)))) (cbrt (+ 1 x)))) (cbrt (- x 1))) (/ x (+ x 1)))) * * * * [misc]progress: [ 36 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (pow x 3) (pow 1 3))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * [exit]simplify: Simplified to (* (cbrt (fma (* x x) x (- 1))) (cbrt (- x 1))) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (x) (+ (/ (/ 1 (/ (* (cbrt (fma (* x x) x (- 1))) (cbrt (- x 1))) (cbrt (+ (* x x) (+ (* 1 1) (* x 1)))))) (cbrt (- x 1))) (/ x (+ x 1)))) * * * * [misc]progress: [ 37 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (* x x) (* 1 1))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (148 enodes) * [exit]simplify: Simplified to (* (cbrt (- x 1)) (cbrt (- (* x x) 1))) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (x) (+ (/ (/ 1 (/ (* (cbrt (- x 1)) (cbrt (- (* x x) 1))) (cbrt (+ x 1)))) (cbrt (- x 1))) (/ x (+ x 1)))) * * * * [misc]progress: [ 38 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (- x 1)) (cbrt (- 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 (cbrt (* (cbrt (- x 1)) (cbrt (- x 1)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (+ (/ (/ 1 (* (cbrt (- x 1)) (cbrt (- x 1)))) (* (cbrt (* (cbrt (- x 1)) (cbrt (- x 1)))) (cbrt (cbrt (- x 1))))) (/ x (+ x 1)))) * * * * [misc]progress: [ 46 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (- 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 (sqrt (- x 1))) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (+ (/ (/ 1 (* (cbrt (- x 1)) (cbrt (- x 1)))) (* (cbrt (sqrt (- x 1))) (cbrt (sqrt (- x 1))))) (/ x (+ x 1)))) * * * * [misc]progress: [ 47 / 95 ] 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) (+ (/ (/ 1 (* (cbrt (- x 1)) (cbrt (- x 1)))) (* (cbrt 1) (cbrt (- x 1)))) (/ x (+ x 1)))) * * * * [misc]progress: [ 48 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (pow x 3) (pow 1 3))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (26 enodes) * [exit]simplify: Simplified to (cbrt (fma x (* x x) (- 1))) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (+ (/ (/ 1 (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (cbrt (fma x (* x x) (- 1))) (cbrt (+ (* x x) (+ (* 1 1) (* x 1)))))) (/ x (+ x 1)))) * * * * [misc]progress: [ 49 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (* x x) (* 1 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (cbrt (- (* x x) 1)) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (+ (/ (/ 1 (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (cbrt (- (* x x) 1)) (cbrt (+ x 1)))) (/ x (+ x 1)))) * * * * [misc]progress: [ 50 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 57 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 58 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 59 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 60 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (- x 1)) (cbrt (- 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 (cbrt (* (cbrt (- x 1)) (cbrt (- x 1)))) * [misc]simplify: Simplified (2 1 1 2 2 1) to (λ (x) (+ (/ (/ 1 (* (cbrt (- x 1)) (* (cbrt (* (cbrt (- x 1)) (cbrt (- x 1)))) (cbrt (cbrt (- x 1)))))) (cbrt (- x 1))) (/ x (+ x 1)))) * * * * [misc]progress: [ 61 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (- 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 (sqrt (- x 1))) * [misc]simplify: Simplified (2 1 1 2 2 1) to (λ (x) (+ (/ (/ 1 (* (cbrt (- x 1)) (* (cbrt (sqrt (- x 1))) (cbrt (sqrt (- x 1)))))) (cbrt (- x 1))) (/ x (+ x 1)))) * * * * [misc]progress: [ 62 / 95 ] 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 2 2 1) to (λ (x) (+ (/ (/ 1 (* (cbrt (- x 1)) (* (cbrt 1) (cbrt (- x 1))))) (cbrt (- x 1))) (/ x (+ x 1)))) * * * * [misc]progress: [ 63 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (pow x 3) (pow 1 3))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (26 enodes) * [exit]simplify: Simplified to (cbrt (fma x (* x x) (- 1))) * [misc]simplify: Simplified (2 1 1 2 2 1) to (λ (x) (+ (/ (/ 1 (* (cbrt (- x 1)) (/ (cbrt (fma x (* x x) (- 1))) (cbrt (+ (* x x) (+ (* 1 1) (* x 1))))))) (cbrt (- x 1))) (/ x (+ x 1)))) * * * * [misc]progress: [ 64 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (* x x) (* 1 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (cbrt (- (* x x) 1)) * [misc]simplify: Simplified (2 1 1 2 2 1) to (λ (x) (+ (/ (/ 1 (* (cbrt (- x 1)) (/ (cbrt (- (* x x) 1)) (cbrt (+ x 1))))) (cbrt (- x 1))) (/ x (+ x 1)))) * * * * [misc]progress: [ 65 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 66 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 67 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 68 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 69 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 70 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 71 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 72 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 73 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 74 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 75 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (- x 1)) (cbrt (- 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 (cbrt (* (cbrt (- x 1)) (cbrt (- x 1)))) * [misc]simplify: Simplified (2 1 1 2 1 1) to (λ (x) (+ (/ (/ 1 (* (* (cbrt (* (cbrt (- x 1)) (cbrt (- x 1)))) (cbrt (cbrt (- x 1)))) (cbrt (- x 1)))) (cbrt (- x 1))) (/ x (+ x 1)))) * * * * [misc]progress: [ 76 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (- 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 (sqrt (- x 1))) * [misc]simplify: Simplified (2 1 1 2 1 1) to (λ (x) (+ (/ (/ 1 (* (* (cbrt (sqrt (- x 1))) (cbrt (sqrt (- x 1)))) (cbrt (- x 1)))) (cbrt (- x 1))) (/ x (+ x 1)))) * * * * [misc]progress: [ 77 / 95 ] 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 2 1 1) to (λ (x) (+ (/ (/ 1 (* (* (cbrt 1) (cbrt (- x 1))) (cbrt (- x 1)))) (cbrt (- x 1))) (/ x (+ x 1)))) * * * * [misc]progress: [ 78 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (pow x 3) (pow 1 3))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (26 enodes) * [exit]simplify: Simplified to (cbrt (fma x (* x x) (- 1))) * [misc]simplify: Simplified (2 1 1 2 1 1) to (λ (x) (+ (/ (/ 1 (* (/ (cbrt (fma x (* x x) (- 1))) (cbrt (+ (* x x) (+ (* 1 1) (* x 1))))) (cbrt (- x 1)))) (cbrt (- x 1))) (/ x (+ x 1)))) * * * * [misc]progress: [ 79 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (* x x) (* 1 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (cbrt (- (* x x) 1)) * [misc]simplify: Simplified (2 1 1 2 1 1) to (λ (x) (+ (/ (/ 1 (* (/ (cbrt (- (* x x) 1)) (cbrt (+ x 1))) (cbrt (- x 1)))) (cbrt (- x 1))) (/ x (+ x 1)))) * * * * [misc]progress: [ 80 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 81 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 82 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 83 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 84 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (pow -1 2) 1/3) (+ (* 2/3 x) (* 1/9 (pow x 2)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (170 enodes) * * [misc]simplify: iters left: 1 (244 enodes) * [exit]simplify: Simplified to (- (cbrt (- -1)) (* x (fma 1/9 x 2/3))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (+ (/ (/ 1 (- (cbrt (- -1)) (* x (fma 1/9 x 2/3)))) (cbrt (- x 1))) (/ x (+ x 1)))) * * * * [misc]progress: [ 85 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (pow x 2) 1/3) (+ (* 2/3 (pow (/ 1 x) 1/3)) (* 1/9 (pow (/ 1 (pow x 4)) 1/3)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (132 enodes) * [exit]simplify: Simplified to (fma (- 1/9) (cbrt (/ 1 (pow x 4))) (fma (- 2/3) (cbrt (/ 1 x)) (cbrt (* x x)))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (+ (/ (/ 1 (fma (- 1/9) (cbrt (/ 1 (pow x 4))) (fma (- 2/3) (cbrt (/ 1 x)) (cbrt (* x x))))) (cbrt (- x 1))) (/ x (+ x 1)))) * * * * [misc]progress: [ 86 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (exp (* 1/3 (- (log -1) (log (/ -1 x))))) 2) (+ (* 1/9 (/ (pow (exp (* 1/3 (- (log -1) (log (/ -1 x))))) 2) (pow x 2))) (* 2/3 (/ (pow (exp (* 1/3 (- (log -1) (log (/ -1 x))))) 2) x)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (90 enodes) * * [misc]simplify: iters left: 3 (210 enodes) * [exit]simplify: Simplified to (- (exp (* (log x) (+ 1/3 1/3))) (/ (* (pow (exp 1/3) (log x)) (+ (/ 1/9 x) 2/3)) (/ x (pow (exp 1/3) (log x))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (+ (/ (/ 1 (- (exp (* (log x) (+ 1/3 1/3))) (/ (* (pow (exp 1/3) (log x)) (+ (/ 1/9 x) 2/3)) (/ x (pow (exp 1/3) (log x)))))) (cbrt (- x 1))) (/ x (+ x 1)))) * * * * [misc]progress: [ 87 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow -1 1/3) (+ (* 1/3 (* x (pow -1 1/3))) (* 1/9 (* (pow x 2) (pow -1 1/3))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (150 enodes) * * [misc]simplify: iters left: 2 (371 enodes) * [exit]simplify: Simplified to (fma (* (fma x 1/9 1/3) x) (- (cbrt -1)) (cbrt -1)) * [misc]simplify: Simplified (2 1 2) to (λ (x) (+ (/ (/ 1 (* (cbrt (- x 1)) (cbrt (- x 1)))) (fma (* (fma x 1/9 1/3) x) (- (cbrt -1)) (cbrt -1))) (/ x (+ x 1)))) * * * * [misc]progress: [ 88 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (/ 1 x) -1/3) (+ (* 1/3 (pow (/ 1 (pow x 2)) 1/3)) (* 1/9 (pow (/ 1 (pow x 5)) 1/3)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (102 enodes) * * [misc]simplify: iters left: 1 (133 enodes) * [exit]simplify: Simplified to (- (fma (- 1/9) (cbrt (/ 1 (pow x 5))) (pow (/ 1 x) -1/3)) (* (cbrt (/ (/ 1 x) x)) 1/3)) * [misc]simplify: Simplified (2 1 2) to (λ (x) (+ (/ (/ 1 (* (cbrt (- x 1)) (cbrt (- x 1)))) (- (fma (- 1/9) (cbrt (/ 1 (pow x 5))) (pow (/ 1 x) -1/3)) (* (cbrt (/ (/ 1 x) x)) 1/3))) (/ x (+ x 1)))) * * * * [misc]progress: [ 89 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (- (exp (* 1/3 (- (log -1) (log (/ -1 x))))) (+ (* 1/3 (/ (exp (* 1/3 (- (log -1) (log (/ -1 x))))) x)) (* 1/9 (/ (exp (* 1/3 (- (log -1) (log (/ -1 x))))) (pow x 2))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (148 enodes) * * [misc]simplify: iters left: 2 (325 enodes) * [exit]simplify: Simplified to (fma (/ (cbrt x) x) (- (- 1/3) (/ 1/9 x)) (cbrt x)) * [misc]simplify: Simplified (2 1 2) to (λ (x) (+ (/ (/ 1 (* (cbrt (- x 1)) (cbrt (- x 1)))) (fma (/ (cbrt x) x) (- (- 1/3) (/ 1/9 x)) (cbrt x))) (/ x (+ x 1)))) * * * * [misc]progress: [ 90 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow -1 1/3) (+ (* 1/3 (* x (pow -1 1/3))) (* 1/9 (* (pow x 2) (pow -1 1/3))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (150 enodes) * * [misc]simplify: iters left: 2 (371 enodes) * [exit]simplify: Simplified to (fma (* (fma x 1/9 1/3) x) (- (cbrt -1)) (cbrt -1)) * [misc]simplify: Simplified (2 1 1 2 2) to (λ (x) (+ (/ (/ 1 (* (cbrt (- x 1)) (fma (* (fma x 1/9 1/3) x) (- (cbrt -1)) (cbrt -1)))) (cbrt (- x 1))) (/ x (+ x 1)))) * * * * [misc]progress: [ 91 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (/ 1 x) -1/3) (+ (* 1/3 (pow (/ 1 (pow x 2)) 1/3)) (* 1/9 (pow (/ 1 (pow x 5)) 1/3)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (102 enodes) * * [misc]simplify: iters left: 1 (133 enodes) * [exit]simplify: Simplified to (- (fma (- 1/9) (cbrt (/ 1 (pow x 5))) (pow (/ 1 x) -1/3)) (* (cbrt (/ (/ 1 x) x)) 1/3)) * [misc]simplify: Simplified (2 1 1 2 2) to (λ (x) (+ (/ (/ 1 (* (cbrt (- x 1)) (- (fma (- 1/9) (cbrt (/ 1 (pow x 5))) (pow (/ 1 x) -1/3)) (* (cbrt (/ (/ 1 x) x)) 1/3)))) (cbrt (- x 1))) (/ x (+ x 1)))) * * * * [misc]progress: [ 92 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (- (exp (* 1/3 (- (log -1) (log (/ -1 x))))) (+ (* 1/3 (/ (exp (* 1/3 (- (log -1) (log (/ -1 x))))) x)) (* 1/9 (/ (exp (* 1/3 (- (log -1) (log (/ -1 x))))) (pow x 2))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (148 enodes) * * [misc]simplify: iters left: 2 (325 enodes) * [exit]simplify: Simplified to (fma (/ (cbrt x) x) (- (- 1/3) (/ 1/9 x)) (cbrt x)) * [misc]simplify: Simplified (2 1 1 2 2) to (λ (x) (+ (/ (/ 1 (* (cbrt (- x 1)) (fma (/ (cbrt x) x) (- (- 1/3) (/ 1/9 x)) (cbrt x)))) (cbrt (- x 1))) (/ x (+ x 1)))) * * * * [misc]progress: [ 93 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow -1 1/3) (+ (* 1/3 (* x (pow -1 1/3))) (* 1/9 (* (pow x 2) (pow -1 1/3))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (150 enodes) * * [misc]simplify: iters left: 2 (371 enodes) * [exit]simplify: Simplified to (fma (* (fma x 1/9 1/3) x) (- (cbrt -1)) (cbrt -1)) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (x) (+ (/ (/ 1 (* (fma (* (fma x 1/9 1/3) x) (- (cbrt -1)) (cbrt -1)) (cbrt (- x 1)))) (cbrt (- x 1))) (/ x (+ x 1)))) * * * * [misc]progress: [ 94 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (/ 1 x) -1/3) (+ (* 1/3 (pow (/ 1 (pow x 2)) 1/3)) (* 1/9 (pow (/ 1 (pow x 5)) 1/3)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (102 enodes) * * [misc]simplify: iters left: 1 (133 enodes) * [exit]simplify: Simplified to (- (fma (- 1/9) (cbrt (/ 1 (pow x 5))) (pow (/ 1 x) -1/3)) (* (cbrt (/ (/ 1 x) x)) 1/3)) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (x) (+ (/ (/ 1 (* (- (fma (- 1/9) (cbrt (/ 1 (pow x 5))) (pow (/ 1 x) -1/3)) (* (cbrt (/ (/ 1 x) x)) 1/3)) (cbrt (- x 1)))) (cbrt (- x 1))) (/ x (+ x 1)))) * * * * [misc]progress: [ 95 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (- (exp (* 1/3 (- (log -1) (log (/ -1 x))))) (+ (* 1/3 (/ (exp (* 1/3 (- (log -1) (log (/ -1 x))))) x)) (* 1/9 (/ (exp (* 1/3 (- (log -1) (log (/ -1 x))))) (pow x 2))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (148 enodes) * * [misc]simplify: iters left: 2 (325 enodes) * [exit]simplify: Simplified to (fma (/ (cbrt x) x) (- (- 1/3) (/ 1/9 x)) (cbrt x)) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (x) (+ (/ (/ 1 (* (fma (/ (cbrt x) x) (- (- 1/3) (/ 1/9 x)) (cbrt x)) (cbrt (- x 1)))) (cbrt (- x 1))) (/ x (+ x 1)))) * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime: Finding splitpoints for: (# #) * * * [misc]regime-changes: Trying 1 branch expressions: (x) * * * * [misc]regimes: Trying to branch on x from (# #) * * * [misc]regime: Found split indices: #