* [misc]progress: [Phase 1 of 3] Setting up. * * * [misc]progress: [1/2] Preparing points * * * * [misc]points: Sampling 256 additional inputs, on iter 0 have 0 / 256 * * * * [misc]points: Computing exacts on every 16 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 8 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Setting MPFR precision to 832 * * * * [misc]points: Computing exacts on every 4 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Setting MPFR precision to 832 * * * * [misc]points: Computing exacts on every 2 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Setting MPFR precision to 832 * * * * [misc]points: Computing exacts for 256 points * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Setting MPFR precision to 832 * * * * [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)) (/ 1 (- x 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (+ (/ 1 (+ x 1)) (/ -1 (+ x -1))) * * [misc]progress: iteration 1 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 2 ] rewriting at (2 2) * * * * [misc]progress: [ 2 / 2 ] rewriting at (2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 2 ] generating series at (2 2) * [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 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 (+ 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 (+ 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 (- (+ (* 1 (/ 1 1)))) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [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 (- (+ (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]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 (+ 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 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 x)) (/ 1 (pow x 2))) * [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 (+ 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 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 x)) (/ 1 (pow x 2))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 42 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to -1 * [misc]simplify: Simplified (2 2 2) to (λ (x) (- (/ 1 (+ x 1)) (pow (- x 1) -1))) * * * * [misc]progress: [ 3 / 42 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 42 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 42 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 42 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 42 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 42 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 42 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 42 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 42 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 42 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 42 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- x 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * * [misc]simplify: iters left: 1 (10 enodes) * [exit]simplify: Simplified to (cbrt (+ x -1)) * [misc]simplify: Simplified (2 2 2) to (λ (x) (- (/ 1 (+ x 1)) (/ (/ 1 (* (cbrt (- x 1)) (cbrt (- x 1)))) (cbrt (+ x -1))))) * * * * [misc]progress: [ 15 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- x 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * * [misc]simplify: iters left: 1 (10 enodes) * [exit]simplify: Simplified to (sqrt (+ x -1)) * [misc]simplify: Simplified (2 2 2) to (λ (x) (- (/ 1 (+ x 1)) (/ (/ 1 (sqrt (- x 1))) (sqrt (+ x -1))))) * * * * [misc]progress: [ 16 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (- x 1) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (8 enodes) * [exit]simplify: Simplified to (+ x -1) * [misc]simplify: Simplified (2 2 2) to (λ (x) (- (/ 1 (+ x 1)) (/ (/ 1 1) (+ x -1)))) * * * * [misc]progress: [ 17 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* x x) (+ (* 1 1) (* x 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 (25 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (+ (* x x) (+ 1 x)) * [misc]simplify: Simplified (2 2 2) to (λ (x) (- (/ 1 (+ x 1)) (* (/ 1 (- (pow x 3) (pow 1 3))) (+ (* x x) (+ 1 x))))) * * * * [misc]progress: [ 18 / 42 ] 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)) (* (/ 1 (- (* x x) (* 1 1))) (+ 1 x)))) * * * * [misc]progress: [ 19 / 42 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to -1 * [misc]simplify: Simplified (2 1 2) to (λ (x) (- (pow (+ x 1) -1) (/ 1 (- x 1)))) * * * * [misc]progress: [ 21 / 42 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 42 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 42 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 42 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 42 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 42 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 42 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 42 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 42 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 42 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 42 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 42 ] 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 (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (cbrt (+ 1 x))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 33 / 42 ] 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 (sqrt (+ x 1))) (sqrt (+ 1 x))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 34 / 42 ] 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 1) (+ 1 x)) (/ 1 (- x 1)))) * * * * [misc]progress: [ 35 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* x x) (- (* 1 1) (* x 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (+ (- 1 x) (* x x)) * [misc]simplify: Simplified (2 1 2) to (λ (x) (- (* (/ 1 (+ (pow x 3) (pow 1 3))) (+ (- 1 x) (* x x))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 36 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (- x 1) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (8 enodes) * [exit]simplify: Simplified to (+ x -1) * [misc]simplify: Simplified (2 1 2) to (λ (x) (- (* (/ 1 (- (* x x) (* 1 1))) (+ x -1)) (/ 1 (- x 1)))) * * * * [misc]progress: [ 37 / 42 ] 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 (59 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (124 enodes) * [exit]simplify: Simplified to (- (- -1 x) (* x x)) * [misc]simplify: Simplified (2 2) to (λ (x) (- (/ 1 (+ x 1)) (- (- -1 x) (* x x)))) * * * * [misc]progress: [ 38 / 42 ] 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 (33 enodes) * [exit]simplify: Simplified to (+ (+ (/ 1 x) (/ (/ 1 x) (* x x))) (/ (/ 1 x) x)) * [misc]simplify: Simplified (2 2) to (λ (x) (- (/ 1 (+ x 1)) (+ (+ (/ 1 x) (/ (/ 1 x) (* x x))) (/ (/ 1 x) x)))) * * * * [misc]progress: [ 39 / 42 ] 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 (33 enodes) * [exit]simplify: Simplified to (+ (+ (/ 1 x) (/ (/ 1 x) (* x x))) (/ (/ 1 x) x)) * [misc]simplify: Simplified (2 2) to (λ (x) (- (/ 1 (+ x 1)) (+ (+ (/ 1 x) (/ (/ 1 x) (* x x))) (/ (/ 1 x) x)))) * * * * [misc]progress: [ 40 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (pow x 2) 1) x) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (+ (- 1 x) (* x x)) * [misc]simplify: Simplified (2 1) to (λ (x) (- (+ (- 1 x) (* x x)) (/ 1 (- x 1)))) * * * * [misc]progress: [ 41 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (/ 1 (pow x 3)) (/ 1 x)) (/ 1 (pow x 2))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (+ (/ (/ 1 x) (* x x)) (- (/ 1 x) (/ (/ 1 x) x))) * [misc]simplify: Simplified (2 1) to (λ (x) (- (+ (/ (/ 1 x) (* x x)) (- (/ 1 x) (/ (/ 1 x) x))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 42 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (/ 1 (pow x 3)) (/ 1 x)) (/ 1 (pow x 2))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (+ (/ (/ 1 x) (* x x)) (- (/ 1 x) (/ (/ 1 x) x))) * [misc]simplify: Simplified (2 1) to (λ (x) (- (+ (/ (/ 1 x) (* x x)) (- (/ 1 x) (/ (/ 1 x) x))) (/ 1 (- x 1)))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 2 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 1 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (* (sqrt (/ 1 (+ x 1))) (sqrt (/ 1 (+ x 1)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 (+ x 1))) (sqrt (/ 1 (+ x 1)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (+ x 1))) in x * [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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 1 1)))) into -1 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (+ x 1))) in x * [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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 1 1)))) into -1 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 (+ x 1))) (sqrt (/ 1 (+ x 1)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (+ x 1))) in x * [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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 1 1)))) into -1 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (+ x 1))) in x * [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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 1 1)))) into -1 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 -1/2) (* -1/2 1)) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* -1 (/ 1 1)))) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow -1/2 2) (+)) (* 2 1)) into 3/8 * [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 (pow -1/2 2) (+)) (* 2 1)) into 3/8 * [misc]backup-simplify: Simplify (+ (* 1 3/8) (+ (* -1/2 -1/2) (* 3/8 1))) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (pow x 2)) (+ (* -1 x) 1)) into (- (+ (pow x 2) 1) x) * [misc]approximate: Taking taylor expansion of (* (sqrt (/ 1 (+ (/ 1 x) 1))) (sqrt (/ 1 (+ (/ 1 x) 1)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 (+ (/ 1 x) 1))) (sqrt (/ 1 (+ (/ 1 x) 1)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 x) 1))) in x * [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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 x) 1))) in x * [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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 (+ (/ 1 x) 1))) (sqrt (/ 1 (+ (/ 1 x) 1)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 x) 1))) in x * [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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 x) 1))) in x * [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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 1 1)))) into -1 * [misc]backup-simplify: Simplify (/ (- -1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 1 1)))) into -1 * [misc]backup-simplify: Simplify (/ (- -1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.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 (- (+ (* 1 (/ 0 1)) (* -1 (/ 1 1)))) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.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 (- (+ (* 1 (/ 0 1)) (* -1 (/ 1 1)))) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0)))) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* -1 (/ 0 1)) (* 1 (/ 1 1)))) into -1 * [misc]backup-simplify: Simplify (/ (- -1 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* -1 (/ 0 1)) (* 1 (/ 1 1)))) into -1 * [misc]backup-simplify: Simplify (/ (- -1 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))))) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ (* (- +nan.0) (pow (/ 1 x) 4)) (+ (* (- +nan.0) (pow (/ 1 x) 3)) (* (- +nan.0) (pow (/ 1 x) 2)))) into (- (+ (* +nan.0 (/ 1 (pow x 3))) (- (+ (* +nan.0 (/ 1 (pow x 4))) (- (* +nan.0 (/ 1 (pow x 2)))))))) * [misc]approximate: Taking taylor expansion of (* (sqrt (/ 1 (+ (/ 1 (- x)) 1))) (sqrt (/ 1 (+ (/ 1 (- x)) 1)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 (+ (/ 1 (- x)) 1))) (sqrt (/ 1 (+ (/ 1 (- x)) 1)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (- x)) 1))) in x * [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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (- x)) 1))) in x * [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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 (+ (/ 1 (- x)) 1))) (sqrt (/ 1 (+ (/ 1 (- x)) 1)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (- x)) 1))) in x * [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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (- x)) 1))) in x * [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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 1 -1)))) into -1 * [misc]backup-simplify: Simplify (/ (- -1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.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 (- (+ (* -1 (/ 1 -1)))) into -1 * [misc]backup-simplify: Simplify (/ (- -1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.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 (- (+ (* -1 (/ 0 -1)) (* -1 (/ 1 -1)))) into -1 * [misc]backup-simplify: Simplify (/ (- -1 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.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 (- (+ (* -1 (/ 0 -1)) (* -1 (/ 1 -1)))) into -1 * [misc]backup-simplify: Simplify (/ (- -1 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0)))) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* -1 (/ 0 -1)) (* -1 (/ 1 -1)))) into -1 * [misc]backup-simplify: Simplify (/ (- -1 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* -1 (/ 0 -1)) (* -1 (/ 1 -1)))) into -1 * [misc]backup-simplify: Simplify (/ (- -1 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))))) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ (* (- +nan.0) (pow (/ 1 (- x)) 4)) (+ (* (- +nan.0) (pow (/ 1 (- x)) 3)) (* (- +nan.0) (pow (/ 1 (- x)) 2)))) into (- (+ (* +nan.0 (/ 1 (pow x 3))) (- (+ (* +nan.0 (/ 1 (pow x 4))) (- (* +nan.0 (/ 1 (pow x 2)))))))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2) * [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: [ 3 / 4 ] generating series at (2 1 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 (+ 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 (+ 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 (- (+ (* 1 (/ 1 1)))) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [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 (- (+ (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]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 (+ 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 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 x)) (/ 1 (pow x 2))) * [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 (+ 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 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 x)) (/ 1 (pow x 2))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 1 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 (+ 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 (+ 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 (- (+ (* 1 (/ 1 1)))) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [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 (- (+ (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]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 (+ 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 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 x)) (/ 1 (pow x 2))) * [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 (+ 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 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 x)) (/ 1 (pow x 2))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (+ x 1)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (/ 1 (+ x 1)) * [misc]simplify: Simplified (2 1 1) to (λ (x) (- (pow (/ 1 (+ x 1)) (+ 1/2 1/2)) (/ 1 (- x 1)))) * [enter]simplify: Simplifying (+ 1/2 1/2) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 2) to (λ (x) (- (pow (/ 1 (+ x 1)) 1) (/ 1 (- x 1)))) * * * * [misc]progress: [ 2 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 1 (+ x 1))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (sqrt (/ 1 (+ x 1))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (- (pow (sqrt (/ 1 (+ x 1))) (+ 1 1)) (/ 1 (- x 1)))) * [enter]simplify: Simplifying (+ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to 2 * [misc]simplify: Simplified (2 1 2) to (λ (x) (- (pow (sqrt (/ 1 (+ x 1))) 2) (/ 1 (- x 1)))) * * * * [misc]progress: [ 3 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (+ x 1)) (/ 1 (+ x 1))) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (* (/ 1 (+ x 1)) (/ 1 (+ x 1))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (- (pow (* (/ 1 (+ x 1)) (/ 1 (+ x 1))) 1/2) (/ 1 (- x 1)))) * * * * [misc]progress: [ 4 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ 1 (+ x 1))) (sqrt (/ 1 (+ x 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (/ 1 (+ x 1)) * [misc]simplify: Simplified (2 1 1) to (λ (x) (- (pow (/ 1 (+ x 1)) 1) (/ 1 (- x 1)))) * * * * [misc]progress: [ 5 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 1 (+ x 1))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (sqrt (/ 1 (+ x 1))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (- (pow (sqrt (/ 1 (+ x 1))) (+ 1 1)) (/ 1 (- x 1)))) * * * * [misc]progress: [ 7 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (sqrt (/ 1 (+ x 1)))) (log (sqrt (/ 1 (+ x 1))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (+ (log (sqrt (/ 1 (+ x 1)))) (log (sqrt (/ 1 (+ x 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (- (exp (+ (log (sqrt (/ 1 (+ x 1)))) (log (sqrt (/ 1 (+ x 1)))))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 9 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (sqrt (/ 1 (+ x 1))) (sqrt (/ 1 (+ x 1)))) (sqrt (/ 1 (+ x 1)))) (* (* (sqrt (/ 1 (+ x 1))) (sqrt (/ 1 (+ x 1)))) (sqrt (/ 1 (+ x 1))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (120 enodes) * [exit]simplify: Simplified to (/ (/ 1 (+ x 1)) (* (+ x 1) (+ x 1))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (- (cbrt (/ (/ 1 (+ x 1)) (* (+ x 1) (+ x 1)))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 12 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (+ x 1)) (/ 1 (+ x 1))) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (* (/ 1 (+ x 1)) (/ 1 (+ x 1))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (- (sqrt (* (/ 1 (+ x 1)) (/ 1 (+ x 1)))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 15 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 105 ] 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 (+ 1 x)) (/ 1 (- x 1)))) * * * * [misc]progress: [ 17 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt 1) (sqrt 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1) to (λ (x) (- (/ 1 (* (sqrt (+ x 1)) (sqrt (+ x 1)))) (/ 1 (- x 1)))) * [enter]simplify: Simplifying (* (sqrt (+ x 1)) (sqrt (+ x 1))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [exit]simplify: Simplified to (+ 1 x) * [misc]simplify: Simplified (2 1 2) to (λ (x) (- (/ 1 (+ 1 x)) (/ 1 (- x 1)))) * * * * [misc]progress: [ 18 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (/ 1 (+ x 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (/ 1 (+ x 1)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (- (* (* (sqrt (/ 1 (+ x 1))) (* (cbrt (sqrt (/ 1 (+ x 1)))) (cbrt (sqrt (/ 1 (+ x 1)))))) (cbrt (sqrt (/ 1 (+ x 1))))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 20 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (/ 1 (+ x 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (/ 1 (+ x 1)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (- (* (* (sqrt (/ 1 (+ x 1))) (sqrt (* (cbrt (/ 1 (+ x 1))) (cbrt (/ 1 (+ x 1)))))) (sqrt (cbrt (/ 1 (+ x 1))))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 21 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (/ 1 (+ x 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (/ 1 (+ x 1)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (- (* (* (sqrt (/ 1 (+ x 1))) (sqrt (sqrt (/ 1 (+ x 1))))) (sqrt (sqrt (/ 1 (+ x 1))))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 22 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 1 (+ x 1))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (sqrt (/ 1 (+ x 1))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (- (* (* (sqrt (/ 1 (+ x 1))) (sqrt 1)) (sqrt (/ 1 (+ x 1)))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 23 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 1 (+ x 1))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (sqrt (/ 1 (+ x 1))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (- (* (* (sqrt (/ 1 (+ x 1))) (sqrt 1)) (sqrt (/ 1 (+ x 1)))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 24 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (* x x) (- (* 1 1) (* x 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * [exit]simplify: Simplified to (sqrt (- (* x x) (- x 1))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (- (* (* (sqrt (/ 1 (+ x 1))) (sqrt (/ 1 (+ (pow x 3) (pow 1 3))))) (sqrt (- (* x x) (- x 1)))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 25 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- x 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * * [misc]simplify: iters left: 1 (10 enodes) * [exit]simplify: Simplified to (sqrt (+ x -1)) * [misc]simplify: Simplified (2 1 2) to (λ (x) (- (* (* (sqrt (/ 1 (+ x 1))) (sqrt (/ 1 (- (* x x) (* 1 1))))) (sqrt (+ x -1))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 26 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (/ 1 (+ x 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (/ 1 (+ x 1)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (- (* (* (sqrt (/ 1 (+ x 1))) (sqrt (sqrt (/ 1 (+ x 1))))) (sqrt (sqrt (/ 1 (+ x 1))))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 27 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 1 (+ x 1))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (sqrt (/ 1 (+ x 1))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (- (* (* (sqrt (/ 1 (+ x 1))) 1) (sqrt (/ 1 (+ x 1)))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 28 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (/ 1 (+ x 1)))) (cbrt (sqrt (/ 1 (+ x 1))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (/ 1 (+ x 1)))) (cbrt (sqrt (/ 1 (+ x 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (- (* (* (cbrt (sqrt (/ 1 (+ x 1)))) (cbrt (sqrt (/ 1 (+ x 1))))) (* (cbrt (sqrt (/ 1 (+ x 1)))) (sqrt (/ 1 (+ x 1))))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 29 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (/ 1 (+ x 1))) (cbrt (/ 1 (+ x 1))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (fabs (cbrt (/ 1 (+ x 1)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (- (* (fabs (cbrt (/ 1 (+ x 1)))) (* (sqrt (cbrt (/ 1 (+ x 1)))) (sqrt (/ 1 (+ x 1))))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 30 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (/ 1 (+ x 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (/ 1 (+ x 1)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (- (* (sqrt (sqrt (/ 1 (+ x 1)))) (* (sqrt (sqrt (/ 1 (+ x 1)))) (sqrt (/ 1 (+ x 1))))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 31 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1) to (λ (x) (- (* 1 (* (sqrt (/ 1 (+ x 1))) (sqrt (/ 1 (+ x 1))))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 32 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1) to (λ (x) (- (* 1 (* (sqrt (/ 1 (+ x 1))) (sqrt (/ 1 (+ x 1))))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 33 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 1 (+ (pow x 3) (pow 1 3)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (sqrt (/ 1 (+ (pow x 3) 1))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (- (* (sqrt (/ 1 (+ (pow x 3) 1))) (* (sqrt (+ (* x x) (- (* 1 1) (* x 1)))) (sqrt (/ 1 (+ x 1))))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 34 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 1 (- (* x x) (* 1 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (61 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 (- x 1)) (sqrt (/ 1 (+ x 1))))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 35 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (/ 1 (+ x 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (/ 1 (+ x 1)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (- (* (sqrt (sqrt (/ 1 (+ x 1)))) (* (sqrt (sqrt (/ 1 (+ x 1)))) (sqrt (/ 1 (+ x 1))))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 36 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 105 ] 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) (- (/ (* (sqrt (/ 1 (+ x 1))) (sqrt 1)) (sqrt (+ 1 x))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 38 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt 1) (sqrt (/ 1 (+ x 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (sqrt (/ 1 (+ 1 x))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (- (/ (sqrt (/ 1 (+ 1 x))) (sqrt (+ x 1))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 39 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to -1 * [misc]simplify: Simplified (2 2 2) to (λ (x) (- (* (sqrt (/ 1 (+ x 1))) (sqrt (/ 1 (+ x 1)))) (pow (- x 1) -1))) * * * * [misc]progress: [ 42 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- x 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * * [misc]simplify: iters left: 1 (10 enodes) * [exit]simplify: Simplified to (cbrt (+ x -1)) * [misc]simplify: Simplified (2 2 2) to (λ (x) (- (* (sqrt (/ 1 (+ x 1))) (sqrt (/ 1 (+ x 1)))) (/ (/ 1 (* (cbrt (- x 1)) (cbrt (- x 1)))) (cbrt (+ x -1))))) * * * * [misc]progress: [ 54 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- x 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * * [misc]simplify: iters left: 1 (10 enodes) * [exit]simplify: Simplified to (sqrt (+ x -1)) * [misc]simplify: Simplified (2 2 2) to (λ (x) (- (* (sqrt (/ 1 (+ x 1))) (sqrt (/ 1 (+ x 1)))) (/ (/ 1 (sqrt (- x 1))) (sqrt (+ x -1))))) * * * * [misc]progress: [ 55 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (- x 1) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (8 enodes) * [exit]simplify: Simplified to (+ x -1) * [misc]simplify: Simplified (2 2 2) to (λ (x) (- (* (sqrt (/ 1 (+ x 1))) (sqrt (/ 1 (+ x 1)))) (/ (/ 1 1) (+ x -1)))) * * * * [misc]progress: [ 56 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* x x) (+ (* 1 1) (* x 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 (25 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (+ (* x x) (+ 1 x)) * [misc]simplify: Simplified (2 2 2) to (λ (x) (- (* (sqrt (/ 1 (+ x 1))) (sqrt (/ 1 (+ x 1)))) (* (/ 1 (- (pow x 3) (pow 1 3))) (+ (* x x) (+ 1 x))))) * * * * [misc]progress: [ 57 / 105 ] 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) (- (* (sqrt (/ 1 (+ x 1))) (sqrt (/ 1 (+ x 1)))) (* (/ 1 (- (* x x) (* 1 1))) (+ 1 x)))) * * * * [misc]progress: [ 58 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 59 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to -1 * [misc]simplify: Simplified (2 1 2 1 2) to (λ (x) (- (* (sqrt (/ 1 (+ x 1))) (sqrt (pow (+ x 1) -1))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 60 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 61 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 62 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 63 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 64 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 65 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 66 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 67 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 68 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 69 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 70 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 71 / 105 ] 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 1 2) to (λ (x) (- (* (sqrt (/ 1 (+ x 1))) (sqrt (/ (/ 1 (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (cbrt (+ 1 x))))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 72 / 105 ] 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 1 2) to (λ (x) (- (* (sqrt (/ 1 (+ x 1))) (sqrt (/ (/ 1 (sqrt (+ x 1))) (sqrt (+ 1 x))))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 73 / 105 ] 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 1 2) to (λ (x) (- (* (sqrt (/ 1 (+ x 1))) (sqrt (/ (/ 1 1) (+ 1 x)))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 74 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* x x) (- (* 1 1) (* x 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (+ (- 1 x) (* x x)) * [misc]simplify: Simplified (2 1 2 1 2) to (λ (x) (- (* (sqrt (/ 1 (+ x 1))) (sqrt (* (/ 1 (+ (pow x 3) (pow 1 3))) (+ (- 1 x) (* x x))))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 75 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (- x 1) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (8 enodes) * [exit]simplify: Simplified to (+ x -1) * [misc]simplify: Simplified (2 1 2 1 2) to (λ (x) (- (* (sqrt (/ 1 (+ x 1))) (sqrt (* (/ 1 (- (* x x) (* 1 1))) (+ x -1)))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 76 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 77 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to -1 * [misc]simplify: Simplified (2 1 1 1 2) to (λ (x) (- (* (sqrt (pow (+ x 1) -1)) (sqrt (/ 1 (+ x 1)))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 78 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 79 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 80 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 81 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 82 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 83 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 84 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 85 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 86 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 87 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 88 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 89 / 105 ] 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 1 2) to (λ (x) (- (* (sqrt (/ (/ 1 (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (cbrt (+ 1 x)))) (sqrt (/ 1 (+ x 1)))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 90 / 105 ] 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 1 1 2) to (λ (x) (- (* (sqrt (/ (/ 1 (sqrt (+ x 1))) (sqrt (+ 1 x)))) (sqrt (/ 1 (+ x 1)))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 91 / 105 ] 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 1 1 2) to (λ (x) (- (* (sqrt (/ (/ 1 1) (+ 1 x))) (sqrt (/ 1 (+ x 1)))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 92 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* x x) (- (* 1 1) (* x 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (+ (- 1 x) (* x x)) * [misc]simplify: Simplified (2 1 1 1 2) to (λ (x) (- (* (sqrt (* (/ 1 (+ (pow x 3) (pow 1 3))) (+ (- 1 x) (* x x)))) (sqrt (/ 1 (+ x 1)))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 93 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (- x 1) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (8 enodes) * [exit]simplify: Simplified to (+ x -1) * [misc]simplify: Simplified (2 1 1 1 2) to (λ (x) (- (* (sqrt (* (/ 1 (- (* x x) (* 1 1))) (+ x -1))) (sqrt (/ 1 (+ x 1)))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 94 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (pow x 2) 1) x) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (+ (- 1 x) (* x x)) * [misc]simplify: Simplified (2 1) to (λ (x) (- (+ (- 1 x) (* x x)) (/ 1 (- x 1)))) * * * * [misc]progress: [ 95 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (pow x 3))) (- (+ (* +nan.0 (/ 1 (pow x 4))) (- (* +nan.0 (/ 1 (pow x 2)))))))) * [misc]simplify: Simplified (2 1) to (λ (x) (- +nan.0 (/ 1 (- x 1)))) * * * * [misc]progress: [ 96 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (pow x 3))) (- (+ (* +nan.0 (/ 1 (pow x 4))) (- (* +nan.0 (/ 1 (pow x 2)))))))) * [misc]simplify: Simplified (2 1) to (λ (x) (- +nan.0 (/ 1 (- x 1)))) * * * * [misc]progress: [ 97 / 105 ] 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 (59 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (124 enodes) * [exit]simplify: Simplified to (- (- -1 x) (* x x)) * [misc]simplify: Simplified (2 2) to (λ (x) (- (* (sqrt (/ 1 (+ x 1))) (sqrt (/ 1 (+ x 1)))) (- (- -1 x) (* x x)))) * * * * [misc]progress: [ 98 / 105 ] 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 (33 enodes) * [exit]simplify: Simplified to (+ (+ (/ 1 x) (/ (/ 1 x) (* x x))) (/ (/ 1 x) x)) * [misc]simplify: Simplified (2 2) to (λ (x) (- (* (sqrt (/ 1 (+ x 1))) (sqrt (/ 1 (+ x 1)))) (+ (+ (/ 1 x) (/ (/ 1 x) (* x x))) (/ (/ 1 x) x)))) * * * * [misc]progress: [ 99 / 105 ] 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 (33 enodes) * [exit]simplify: Simplified to (+ (+ (/ 1 x) (/ (/ 1 x) (* x x))) (/ (/ 1 x) x)) * [misc]simplify: Simplified (2 2) to (λ (x) (- (* (sqrt (/ 1 (+ x 1))) (sqrt (/ 1 (+ x 1)))) (+ (+ (/ 1 x) (/ (/ 1 x) (* x x))) (/ (/ 1 x) x)))) * * * * [misc]progress: [ 100 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (pow x 2) 1) x) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (+ (- 1 x) (* x x)) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (- (* (sqrt (/ 1 (+ x 1))) (sqrt (+ (- 1 x) (* x x)))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 101 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (/ 1 (pow x 3)) (/ 1 x)) (/ 1 (pow x 2))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (+ (/ (/ 1 x) (* x x)) (- (/ 1 x) (/ (/ 1 x) x))) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (- (* (sqrt (/ 1 (+ x 1))) (sqrt (+ (/ (/ 1 x) (* x x)) (- (/ 1 x) (/ (/ 1 x) x))))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 102 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (/ 1 (pow x 3)) (/ 1 x)) (/ 1 (pow x 2))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (+ (/ (/ 1 x) (* x x)) (- (/ 1 x) (/ (/ 1 x) x))) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (- (* (sqrt (/ 1 (+ x 1))) (sqrt (+ (/ (/ 1 x) (* x x)) (- (/ 1 x) (/ (/ 1 x) x))))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 103 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (pow x 2) 1) x) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (+ (- 1 x) (* x x)) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (- (* (sqrt (+ (- 1 x) (* x x))) (sqrt (/ 1 (+ x 1)))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 104 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (/ 1 (pow x 3)) (/ 1 x)) (/ 1 (pow x 2))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (+ (/ (/ 1 x) (* x x)) (- (/ 1 x) (/ (/ 1 x) x))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (- (* (sqrt (+ (/ (/ 1 x) (* x x)) (- (/ 1 x) (/ (/ 1 x) x)))) (sqrt (/ 1 (+ x 1)))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 105 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (/ 1 (pow x 3)) (/ 1 x)) (/ 1 (pow x 2))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (+ (/ (/ 1 x) (* x x)) (- (/ 1 x) (/ (/ 1 x) x))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (- (* (sqrt (+ (/ (/ 1 x) (* x x)) (- (/ 1 x) (/ (/ 1 x) x)))) (sqrt (/ 1 (+ x 1)))) (/ 1 (- x 1)))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 3 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (/ 1 (sqrt (+ x 1))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt (+ x 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ 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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt (+ x 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ 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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 1/2 1)))) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ -1/8 1)) (* -1/2 (/ 1/2 1)))) into 3/8 * [misc]backup-simplify: Simplify 3/8 into 3/8 * [misc]backup-simplify: Simplify (+ (* 3/8 (pow x 2)) (+ (* -1/2 x) 1)) into (- (+ (* 3/8 (pow x 2)) 1) (* 1/2 x)) * [misc]approximate: Taking taylor expansion of (/ 1 (sqrt (+ (/ 1 x) 1))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt (+ (/ 1 x) 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (/ 1 +nan.0) into +nan.0 * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt (+ (/ 1 x) 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (/ 1 +nan.0) into +nan.0 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.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 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ (* (- +nan.0) (pow (/ 1 x) 2)) (+ (* (- +nan.0) (/ 1 x)) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) * [misc]approximate: Taking taylor expansion of (/ 1 (sqrt (+ (/ 1 (- x)) 1))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt (+ (/ 1 (- x)) 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (/ 1 +nan.0) into +nan.0 * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt (+ (/ 1 (- x)) 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (/ 1 +nan.0) into +nan.0 * [misc]backup-simplify: Simplify +nan.0 into +nan.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 (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.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 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ (* (- +nan.0) (pow (/ 1 (- x)) 2)) (+ (* (- +nan.0) (/ 1 (- x))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (/ (/ 1 (sqrt (+ x 1))) (sqrt (+ x 1))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ 1 (sqrt (+ x 1))) (sqrt (+ x 1))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt (+ x 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ 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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (sqrt (+ 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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (/ 1 (sqrt (+ x 1))) (sqrt (+ x 1))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt (+ x 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ 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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (sqrt (+ 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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 1/2 1)))) into -1/2 * [misc]backup-simplify: Simplify (- (/ -1/2 1) (+ (* 1 (/ 1/2 1)))) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ -1/8 1)) (* -1/2 (/ 1/2 1)))) into 3/8 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 * [misc]backup-simplify: Simplify (- (/ 3/8 1) (+ (* 1 (/ -1/8 1)) (* -1 (/ 1/2 1)))) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (pow x 2)) (+ (* -1 x) 1)) into (- (+ (pow x 2) 1) x) * [misc]approximate: Taking taylor expansion of (/ (/ 1 (sqrt (+ (/ 1 x) 1))) (sqrt (+ (/ 1 x) 1))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ 1 (sqrt (+ (/ 1 x) 1))) (sqrt (+ (/ 1 x) 1))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt (+ (/ 1 x) 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (/ 1 +nan.0) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (/ +nan.0 +nan.0) into +nan.0 * [misc]taylor: Taking taylor expansion of (/ (/ 1 (sqrt (+ (/ 1 x) 1))) (sqrt (+ (/ 1 x) 1))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt (+ (/ 1 x) 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (/ 1 +nan.0) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (/ +nan.0 +nan.0) into +nan.0 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (/ (- +nan.0) +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.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 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.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 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (/ (- +nan.0) +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ (* (- +nan.0) (pow (/ 1 x) 2)) (+ (* (- +nan.0) (/ 1 x)) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) * [misc]approximate: Taking taylor expansion of (/ (/ 1 (sqrt (+ (/ 1 (- x)) 1))) (sqrt (+ (/ 1 (- x)) 1))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ 1 (sqrt (+ (/ 1 (- x)) 1))) (sqrt (+ (/ 1 (- x)) 1))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt (+ (/ 1 (- x)) 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (/ 1 +nan.0) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (/ +nan.0 +nan.0) into +nan.0 * [misc]taylor: Taking taylor expansion of (/ (/ 1 (sqrt (+ (/ 1 (- x)) 1))) (sqrt (+ (/ 1 (- x)) 1))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt (+ (/ 1 (- x)) 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (/ 1 +nan.0) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (/ +nan.0 +nan.0) into +nan.0 * [misc]backup-simplify: Simplify +nan.0 into +nan.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 (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.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 (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (/ (- +nan.0) +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.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 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.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 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (/ (- +nan.0) +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ (* (- +nan.0) (pow (/ 1 (- x)) 2)) (+ (* (- +nan.0) (/ 1 (- x))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2) * [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: [ 4 / 4 ] generating series at (2 1 2) * [misc]approximate: Taking taylor expansion of (sqrt (+ x 1)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 * [misc]taylor: Taking taylor expansion of (sqrt (+ 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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 * [misc]backup-simplify: Simplify -1/8 into -1/8 * [misc]backup-simplify: Simplify (+ (* -1/8 (pow x 2)) (+ (* 1/2 x) 1)) into (- (+ (* 1/2 x) 1) (* 1/8 (pow x 2))) * [misc]approximate: Taking taylor expansion of (sqrt (+ (/ 1 x) 1)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify +nan.0 into +nan.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 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify (+ (* +nan.0 (pow (/ 1 x) 2)) (+ (* +nan.0 (/ 1 x)) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) * [misc]approximate: Taking taylor expansion of (sqrt (+ (/ 1 (- x)) 1)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify +nan.0 into +nan.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 (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify +nan.0 into +nan.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 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify (+ (* +nan.0 (pow (/ 1 (- x)) 2)) (+ (* +nan.0 (/ 1 (- x))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1/2) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to -1/2 * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (- (/ (pow (+ x 1) -1/2) (sqrt (+ x 1))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 3 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to -1 * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (- (/ (pow (sqrt (+ x 1)) -1) (sqrt (+ x 1))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 4 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (+ x 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ 1 x))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (- (/ (/ (/ 1 (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1))))) (cbrt (sqrt (+ 1 x)))) (sqrt (+ x 1))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 16 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (+ x 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (+ 1 x))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (- (/ (/ (/ 1 (sqrt (* (cbrt (+ x 1)) (cbrt (+ x 1))))) (sqrt (cbrt (+ 1 x)))) (sqrt (+ x 1))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 17 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ x 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ 1 x))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (- (/ (/ (/ 1 (sqrt (sqrt (+ x 1)))) (sqrt (sqrt (+ 1 x)))) (sqrt (+ x 1))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 18 / 133 ] 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 1 2) to (λ (x) (- (/ (/ (/ 1 (sqrt 1)) (sqrt (+ 1 x))) (sqrt (+ x 1))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 19 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ x 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ 1 x))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (- (/ (/ (/ 1 (sqrt (sqrt (+ x 1)))) (sqrt (sqrt (+ 1 x)))) (sqrt (+ x 1))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 20 / 133 ] 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 1 2) to (λ (x) (- (/ (/ (/ 1 1) (sqrt (+ 1 x))) (sqrt (+ x 1))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 21 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (* x x) (- (* 1 1) (* x 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * [exit]simplify: Simplified to (sqrt (- (* x x) (- x 1))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (- (/ (* (/ 1 (sqrt (+ (pow x 3) (pow 1 3)))) (sqrt (- (* x x) (- x 1)))) (sqrt (+ x 1))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 22 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- x 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * * [misc]simplify: iters left: 1 (10 enodes) * [exit]simplify: Simplified to (sqrt (+ x -1)) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (- (/ (* (/ 1 (sqrt (- (* x x) (* 1 1)))) (sqrt (+ x -1))) (sqrt (+ x 1))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 23 / 133 ] 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 1) to (λ (x) (- (pow (sqrt (+ 1 x)) (- -1 1)) (/ 1 (- x 1)))) * [enter]simplify: Simplifying (- -1 1) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (8 enodes) * [exit]simplify: Simplified to -2 * [misc]simplify: Simplified (2 1 2) to (λ (x) (- (pow (sqrt (+ x 1)) -2) (/ 1 (- x 1)))) * * * * [misc]progress: [ 24 / 133 ] 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 1) to (λ (x) (- (pow (+ 1 x) (- (- 1/2) 1/2)) (/ 1 (- x 1)))) * [enter]simplify: Simplifying (- (- 1/2) 1/2) * * [misc]simplify: iters left: 4 (3 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to -1 * [misc]simplify: Simplified (2 1 2) to (λ (x) (- (pow (+ x 1) -1) (/ 1 (- x 1)))) * * * * [misc]progress: [ 25 / 133 ] 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 1) to (λ (x) (- (pow (sqrt (+ 1 x)) (- (- 1) 1)) (/ 1 (- x 1)))) * [enter]simplify: Simplifying (- (- 1) 1) * * [misc]simplify: iters left: 4 (3 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to -2 * [misc]simplify: Simplified (2 1 2) to (λ (x) (- (pow (sqrt (+ x 1)) -2) (/ 1 (- x 1)))) * * * * [misc]progress: [ 26 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (log (sqrt (+ x 1)))) (log (sqrt (+ x 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (- (+ (log (sqrt (+ 1 x))) (log (sqrt (+ 1 x))))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (- (exp (- (+ (log (sqrt (+ 1 x))) (log (sqrt (+ 1 x)))))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 28 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ 1 (sqrt (+ x 1)))) (log (sqrt (+ x 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (- (+ (log (sqrt (+ x 1))) (log (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (- (exp (- (+ (log (sqrt (+ x 1))) (log (sqrt (+ x 1)))))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 29 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1)))) (/ 1 (sqrt (+ x 1)))) (* (* (sqrt (+ x 1)) (sqrt (+ x 1))) (sqrt (+ x 1)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (80 enodes) * * [misc]simplify: iters left: 3 (164 enodes) * * [misc]simplify: iters left: 2 (353 enodes) * [exit]simplify: Simplified to (/ (/ 1 (+ x 1)) (* (+ x 1) (+ x 1))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (- (cbrt (/ (/ 1 (+ x 1)) (* (+ x 1) (+ x 1)))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 32 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (sqrt (+ x 1)))) (cbrt (/ 1 (sqrt (+ x 1))))) (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ 1 (sqrt (+ x 1)))) (cbrt (sqrt (+ x 1)))) (/ (cbrt (/ 1 (sqrt (+ x 1)))) (cbrt (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (- (* (* (/ (cbrt (/ 1 (sqrt (+ x 1)))) (cbrt (sqrt (+ x 1)))) (/ (cbrt (/ 1 (sqrt (+ x 1)))) (cbrt (sqrt (+ x 1))))) (/ (cbrt (/ 1 (sqrt (+ x 1)))) (cbrt (sqrt (+ x 1))))) (/ 1 (- x 1)))) * [enter]simplify: Simplifying (/ (cbrt (/ 1 (sqrt (+ x 1)))) (cbrt (sqrt (+ x 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ 1 (sqrt (+ x 1)))) (cbrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (- (* (/ (* (cbrt (/ 1 (sqrt (+ x 1)))) (cbrt (/ 1 (sqrt (+ x 1))))) (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1))))) (/ (cbrt (/ 1 (sqrt (+ x 1)))) (cbrt (sqrt (+ x 1))))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 37 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (sqrt (+ x 1)))) (cbrt (/ 1 (sqrt (+ x 1))))) (sqrt (* (cbrt (+ x 1)) (cbrt (+ x 1))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ 1 (sqrt (+ x 1)))) (cbrt (/ 1 (sqrt (+ x 1))))) (fabs (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (- (* (/ (* (cbrt (/ 1 (sqrt (+ x 1)))) (cbrt (/ 1 (sqrt (+ x 1))))) (fabs (cbrt (+ x 1)))) (/ (cbrt (/ 1 (sqrt (+ x 1)))) (sqrt (cbrt (+ x 1))))) (/ 1 (- x 1)))) * [enter]simplify: Simplifying (/ (cbrt (/ 1 (sqrt (+ x 1)))) (sqrt (cbrt (+ x 1)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ 1 (sqrt (+ x 1)))) (sqrt (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (- (* (/ (* (cbrt (/ 1 (sqrt (+ x 1)))) (cbrt (/ 1 (sqrt (+ x 1))))) (fabs (cbrt (+ x 1)))) (/ (cbrt (/ 1 (sqrt (+ x 1)))) (sqrt (cbrt (+ x 1))))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 38 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (sqrt (+ x 1)))) (cbrt (/ 1 (sqrt (+ x 1))))) (sqrt (sqrt (+ x 1)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ 1 (sqrt (+ x 1)))) (sqrt (sqrt (+ x 1)))) (cbrt (/ 1 (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (- (* (* (/ (cbrt (/ 1 (sqrt (+ x 1)))) (sqrt (sqrt (+ x 1)))) (cbrt (/ 1 (sqrt (+ x 1))))) (/ (cbrt (/ 1 (sqrt (+ x 1)))) (sqrt (sqrt (+ x 1))))) (/ 1 (- x 1)))) * [enter]simplify: Simplifying (/ (cbrt (/ 1 (sqrt (+ x 1)))) (sqrt (sqrt (+ x 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ 1 (sqrt (+ x 1)))) (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (- (* (/ (* (cbrt (/ 1 (sqrt (+ x 1)))) (cbrt (/ 1 (sqrt (+ x 1))))) (sqrt (sqrt (+ x 1)))) (/ (cbrt (/ 1 (sqrt (+ x 1)))) (sqrt (sqrt (+ x 1))))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 39 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (sqrt (+ x 1)))) (cbrt (/ 1 (sqrt (+ x 1))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (36 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 1 (sqrt (+ x 1)))) (cbrt (/ 1 (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (- (* (* (cbrt (/ 1 (sqrt (+ x 1)))) (cbrt (/ 1 (sqrt (+ x 1))))) (/ (cbrt (/ 1 (sqrt (+ x 1)))) (sqrt (+ x 1)))) (/ 1 (- x 1)))) * [enter]simplify: Simplifying (/ (cbrt (/ 1 (sqrt (+ x 1)))) (sqrt (+ x 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ 1 (sqrt (+ x 1)))) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (- (* (* (cbrt (/ 1 (sqrt (+ x 1)))) (cbrt (/ 1 (sqrt (+ x 1))))) (/ (cbrt (/ 1 (sqrt (+ x 1)))) (sqrt (+ x 1)))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 40 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (sqrt (+ x 1)))) (cbrt (/ 1 (sqrt (+ x 1))))) (sqrt (sqrt (+ x 1)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ 1 (sqrt (+ x 1)))) (sqrt (sqrt (+ x 1)))) (cbrt (/ 1 (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (- (* (* (/ (cbrt (/ 1 (sqrt (+ x 1)))) (sqrt (sqrt (+ x 1)))) (cbrt (/ 1 (sqrt (+ x 1))))) (/ (cbrt (/ 1 (sqrt (+ x 1)))) (sqrt (sqrt (+ x 1))))) (/ 1 (- x 1)))) * [enter]simplify: Simplifying (/ (cbrt (/ 1 (sqrt (+ x 1)))) (sqrt (sqrt (+ x 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ 1 (sqrt (+ x 1)))) (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (- (* (/ (* (cbrt (/ 1 (sqrt (+ x 1)))) (cbrt (/ 1 (sqrt (+ x 1))))) (sqrt (sqrt (+ x 1)))) (/ (cbrt (/ 1 (sqrt (+ x 1)))) (sqrt (sqrt (+ x 1))))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 41 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (sqrt (+ x 1)))) (cbrt (/ 1 (sqrt (+ x 1))))) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 1 (sqrt (+ x 1)))) (cbrt (/ 1 (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (- (* (* (cbrt (/ 1 (sqrt (+ x 1)))) (cbrt (/ 1 (sqrt (+ x 1))))) (/ (cbrt (/ 1 (sqrt (+ x 1)))) (sqrt (+ x 1)))) (/ 1 (- x 1)))) * [enter]simplify: Simplifying (/ (cbrt (/ 1 (sqrt (+ x 1)))) (sqrt (+ x 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ 1 (sqrt (+ x 1)))) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (- (* (* (cbrt (/ 1 (sqrt (+ x 1)))) (cbrt (/ 1 (sqrt (+ x 1))))) (/ (cbrt (/ 1 (sqrt (+ x 1)))) (sqrt (+ x 1)))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 42 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 1 (sqrt (+ x 1)))) (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt (+ x 1)))) (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (- (* (/ (sqrt (/ 1 (sqrt (+ x 1)))) (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1))))) (/ (sqrt (/ 1 (sqrt (+ x 1)))) (cbrt (sqrt (+ x 1))))) (/ 1 (- x 1)))) * [enter]simplify: Simplifying (/ (sqrt (/ 1 (sqrt (+ x 1)))) (cbrt (sqrt (+ x 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt (+ x 1)))) (cbrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (- (* (/ (sqrt (/ 1 (sqrt (+ x 1)))) (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1))))) (/ (sqrt (/ 1 (sqrt (+ x 1)))) (cbrt (sqrt (+ x 1))))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 43 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 1 (sqrt (+ x 1)))) (sqrt (* (cbrt (+ x 1)) (cbrt (+ x 1))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt (+ x 1)))) (fabs (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (- (* (/ (sqrt (/ 1 (sqrt (+ x 1)))) (fabs (cbrt (+ x 1)))) (/ (sqrt (/ 1 (sqrt (+ x 1)))) (sqrt (cbrt (+ x 1))))) (/ 1 (- x 1)))) * [enter]simplify: Simplifying (/ (sqrt (/ 1 (sqrt (+ x 1)))) (sqrt (cbrt (+ x 1)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt (+ x 1)))) (sqrt (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (- (* (/ (sqrt (/ 1 (sqrt (+ x 1)))) (fabs (cbrt (+ x 1)))) (/ (sqrt (/ 1 (sqrt (+ x 1)))) (sqrt (cbrt (+ x 1))))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 44 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 1 (sqrt (+ x 1)))) (sqrt (sqrt (+ x 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt (+ x 1)))) (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (- (* (/ (sqrt (/ 1 (sqrt (+ x 1)))) (sqrt (sqrt (+ x 1)))) (/ (sqrt (/ 1 (sqrt (+ x 1)))) (sqrt (sqrt (+ x 1))))) (/ 1 (- x 1)))) * [enter]simplify: Simplifying (/ (sqrt (/ 1 (sqrt (+ x 1)))) (sqrt (sqrt (+ x 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt (+ x 1)))) (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (- (* (/ (sqrt (/ 1 (sqrt (+ x 1)))) (sqrt (sqrt (+ x 1)))) (/ (sqrt (/ 1 (sqrt (+ x 1)))) (sqrt (sqrt (+ x 1))))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 45 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 1 (sqrt (+ x 1)))) (sqrt 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (sqrt (/ 1 (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (- (* (sqrt (/ 1 (sqrt (+ x 1)))) (/ (sqrt (/ 1 (sqrt (+ x 1)))) (sqrt (+ x 1)))) (/ 1 (- x 1)))) * [enter]simplify: Simplifying (/ (sqrt (/ 1 (sqrt (+ x 1)))) (sqrt (+ x 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt (+ x 1)))) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (- (* (sqrt (/ 1 (sqrt (+ x 1)))) (/ (sqrt (/ 1 (sqrt (+ x 1)))) (sqrt (+ x 1)))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 46 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 1 (sqrt (+ x 1)))) (sqrt (sqrt (+ x 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt (+ x 1)))) (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (- (* (/ (sqrt (/ 1 (sqrt (+ x 1)))) (sqrt (sqrt (+ x 1)))) (/ (sqrt (/ 1 (sqrt (+ x 1)))) (sqrt (sqrt (+ x 1))))) (/ 1 (- x 1)))) * [enter]simplify: Simplifying (/ (sqrt (/ 1 (sqrt (+ x 1)))) (sqrt (sqrt (+ x 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt (+ x 1)))) (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (- (* (/ (sqrt (/ 1 (sqrt (+ x 1)))) (sqrt (sqrt (+ x 1)))) (/ (sqrt (/ 1 (sqrt (+ x 1)))) (sqrt (sqrt (+ x 1))))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 47 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 1 (sqrt (+ x 1)))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (sqrt (/ 1 (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (- (* (sqrt (/ 1 (sqrt (+ x 1)))) (/ (sqrt (/ 1 (sqrt (+ x 1)))) (sqrt (+ x 1)))) (/ 1 (- x 1)))) * [enter]simplify: Simplifying (/ (sqrt (/ 1 (sqrt (+ x 1)))) (sqrt (+ x 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt (+ x 1)))) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (- (* (sqrt (/ 1 (sqrt (+ x 1)))) (/ (sqrt (/ 1 (sqrt (+ x 1)))) (sqrt (+ x 1)))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 48 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (+ x 1)))) (cbrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (- (* (/ (/ 1 (cbrt (sqrt (+ x 1)))) (cbrt (sqrt (+ x 1)))) (/ (/ 1 (sqrt (+ x 1))) (cbrt (sqrt (+ x 1))))) (/ 1 (- x 1)))) * [enter]simplify: Simplifying (/ (/ 1 (sqrt (+ x 1))) (cbrt (sqrt (+ x 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ x 1))) (cbrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (- (* (/ 1 (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1))))) (/ (/ 1 (sqrt (+ x 1))) (cbrt (sqrt (+ x 1))))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 49 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (* (cbrt (+ x 1)) (cbrt (+ x 1))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ 1 (fabs (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (- (* (/ 1 (fabs (cbrt (+ x 1)))) (/ (/ 1 (sqrt (+ x 1))) (sqrt (cbrt (+ x 1))))) (/ 1 (- x 1)))) * [enter]simplify: Simplifying (/ (/ 1 (sqrt (+ x 1))) (sqrt (cbrt (+ x 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ x 1))) (sqrt (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (- (* (/ 1 (fabs (cbrt (+ x 1)))) (/ (/ 1 (sqrt (+ x 1))) (sqrt (cbrt (+ x 1))))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 50 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt (+ x 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (- (* (/ 1 (sqrt (sqrt (+ x 1)))) (/ (/ 1 (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (/ 1 (- x 1)))) * [enter]simplify: Simplifying (/ (/ 1 (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (- (* (/ 1 (sqrt (sqrt (+ x 1)))) (/ (/ 1 (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 51 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1) to (λ (x) (- (* 1 (/ (/ 1 (sqrt (+ x 1))) (sqrt (+ x 1)))) (/ 1 (- x 1)))) * [enter]simplify: Simplifying (/ (/ 1 (sqrt (+ x 1))) (sqrt (+ x 1))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ 1 (+ x 1)) * [misc]simplify: Simplified (2 1 2) to (λ (x) (- (* 1 (/ 1 (+ x 1))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 52 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt (+ x 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (- (* (/ 1 (sqrt (sqrt (+ x 1)))) (/ (/ 1 (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (/ 1 (- x 1)))) * [enter]simplify: Simplifying (/ (/ 1 (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (- (* (/ 1 (sqrt (sqrt (+ x 1)))) (/ (/ 1 (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 53 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1) to (λ (x) (- (* 1 (/ (/ 1 (sqrt (+ x 1))) (sqrt (+ x 1)))) (/ 1 (- x 1)))) * [enter]simplify: Simplifying (/ (/ 1 (sqrt (+ x 1))) (sqrt (+ x 1))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ 1 (+ x 1)) * [misc]simplify: Simplified (2 1 2) to (λ (x) (- (* 1 (/ 1 (+ x 1))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 54 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (+ x 1)))) (cbrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (- (* (/ (/ 1 (cbrt (sqrt (+ x 1)))) (cbrt (sqrt (+ x 1)))) (/ (/ 1 (sqrt (+ x 1))) (cbrt (sqrt (+ x 1))))) (/ 1 (- x 1)))) * [enter]simplify: Simplifying (/ (/ 1 (sqrt (+ x 1))) (cbrt (sqrt (+ x 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ x 1))) (cbrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (- (* (/ 1 (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1))))) (/ (/ 1 (sqrt (+ x 1))) (cbrt (sqrt (+ x 1))))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 55 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (* (cbrt (+ x 1)) (cbrt (+ x 1))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ 1 (fabs (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (- (* (/ 1 (fabs (cbrt (+ x 1)))) (/ (/ 1 (sqrt (+ x 1))) (sqrt (cbrt (+ x 1))))) (/ 1 (- x 1)))) * [enter]simplify: Simplifying (/ (/ 1 (sqrt (+ x 1))) (sqrt (cbrt (+ x 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ x 1))) (sqrt (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (- (* (/ 1 (fabs (cbrt (+ x 1)))) (/ (/ 1 (sqrt (+ x 1))) (sqrt (cbrt (+ x 1))))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 56 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt (+ x 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (- (* (/ 1 (sqrt (sqrt (+ x 1)))) (/ (/ 1 (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (/ 1 (- x 1)))) * [enter]simplify: Simplifying (/ (/ 1 (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (- (* (/ 1 (sqrt (sqrt (+ x 1)))) (/ (/ 1 (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 57 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1) to (λ (x) (- (* 1 (/ (/ 1 (sqrt (+ x 1))) (sqrt (+ x 1)))) (/ 1 (- x 1)))) * [enter]simplify: Simplifying (/ (/ 1 (sqrt (+ x 1))) (sqrt (+ x 1))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ 1 (+ x 1)) * [misc]simplify: Simplified (2 1 2) to (λ (x) (- (* 1 (/ 1 (+ x 1))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 58 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt (+ x 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (- (* (/ 1 (sqrt (sqrt (+ x 1)))) (/ (/ 1 (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (/ 1 (- x 1)))) * [enter]simplify: Simplifying (/ (/ 1 (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (- (* (/ 1 (sqrt (sqrt (+ x 1)))) (/ (/ 1 (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 59 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1) to (λ (x) (- (* 1 (/ (/ 1 (sqrt (+ x 1))) (sqrt (+ x 1)))) (/ 1 (- x 1)))) * [enter]simplify: Simplifying (/ (/ 1 (sqrt (+ x 1))) (sqrt (+ x 1))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ 1 (+ x 1)) * [misc]simplify: Simplified (2 1 2) to (λ (x) (- (* 1 (/ 1 (+ x 1))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 60 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (+ (pow x 3) (pow 1 3)))) (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (pow x 3) 1))) (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (- (* (/ (/ 1 (sqrt (+ (pow x 3) 1))) (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1))))) (/ (sqrt (+ (* x x) (- (* 1 1) (* x 1)))) (cbrt (sqrt (+ x 1))))) (/ 1 (- x 1)))) * [enter]simplify: Simplifying (/ (sqrt (+ (* x x) (- (* 1 1) (* x 1)))) (cbrt (sqrt (+ x 1)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* x x) (- x 1))) (cbrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (- (* (/ (/ 1 (sqrt (+ (pow x 3) 1))) (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1))))) (/ (sqrt (- (* x x) (- x 1))) (cbrt (sqrt (+ x 1))))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 61 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (+ (pow x 3) (pow 1 3)))) (sqrt (* (cbrt (+ x 1)) (cbrt (+ x 1))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (pow x 3) 1))) (fabs (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (- (* (/ (/ 1 (sqrt (+ (pow x 3) 1))) (fabs (cbrt (+ x 1)))) (/ (sqrt (+ (* x x) (- (* 1 1) (* x 1)))) (sqrt (cbrt (+ x 1))))) (/ 1 (- x 1)))) * [enter]simplify: Simplifying (/ (sqrt (+ (* x x) (- (* 1 1) (* x 1)))) (sqrt (cbrt (+ x 1)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* x x) (- x 1))) (sqrt (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (- (* (/ (/ 1 (sqrt (+ (pow x 3) 1))) (fabs (cbrt (+ x 1)))) (/ (sqrt (- (* x x) (- x 1))) (sqrt (cbrt (+ x 1))))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 62 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (+ (pow x 3) (pow 1 3)))) (sqrt (sqrt (+ x 1)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * [exit]simplify: Simplified to (/ 1 (* (sqrt (sqrt (+ x 1))) (sqrt (+ (pow x 3) 1)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (- (* (/ 1 (* (sqrt (sqrt (+ x 1))) (sqrt (+ (pow x 3) 1)))) (/ (sqrt (+ (* x x) (- (* 1 1) (* x 1)))) (sqrt (sqrt (+ x 1))))) (/ 1 (- x 1)))) * [enter]simplify: Simplifying (/ (sqrt (+ (* x x) (- (* 1 1) (* x 1)))) (sqrt (sqrt (+ x 1)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* x x) (- x 1))) (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (- (* (/ 1 (* (sqrt (sqrt (+ x 1))) (sqrt (+ (pow x 3) 1)))) (/ (sqrt (- (* x x) (- x 1))) (sqrt (sqrt (+ x 1))))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 63 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (+ (pow x 3) (pow 1 3)))) (sqrt 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (+ (pow x 3) 1))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (- (* (/ 1 (sqrt (+ (pow x 3) 1))) (/ (sqrt (+ (* x x) (- (* 1 1) (* x 1)))) (sqrt (+ x 1)))) (/ 1 (- x 1)))) * [enter]simplify: Simplifying (/ (sqrt (+ (* x x) (- (* 1 1) (* x 1)))) (sqrt (+ x 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (- 1 x) (* x x))) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (- (* (/ 1 (sqrt (+ (pow x 3) 1))) (/ (sqrt (+ (- 1 x) (* x x))) (sqrt (+ x 1)))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 64 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (+ (pow x 3) (pow 1 3)))) (sqrt (sqrt (+ x 1)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * [exit]simplify: Simplified to (/ 1 (* (sqrt (sqrt (+ x 1))) (sqrt (+ (pow x 3) 1)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (- (* (/ 1 (* (sqrt (sqrt (+ x 1))) (sqrt (+ (pow x 3) 1)))) (/ (sqrt (+ (* x x) (- (* 1 1) (* x 1)))) (sqrt (sqrt (+ x 1))))) (/ 1 (- x 1)))) * [enter]simplify: Simplifying (/ (sqrt (+ (* x x) (- (* 1 1) (* x 1)))) (sqrt (sqrt (+ x 1)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* x x) (- x 1))) (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (- (* (/ 1 (* (sqrt (sqrt (+ x 1))) (sqrt (+ (pow x 3) 1)))) (/ (sqrt (- (* x x) (- x 1))) (sqrt (sqrt (+ x 1))))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 65 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (+ (pow x 3) (pow 1 3)))) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (+ (pow x 3) 1))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (- (* (/ 1 (sqrt (+ (pow x 3) 1))) (/ (sqrt (+ (* x x) (- (* 1 1) (* x 1)))) (sqrt (+ x 1)))) (/ 1 (- x 1)))) * [enter]simplify: Simplifying (/ (sqrt (+ (* x x) (- (* 1 1) (* x 1)))) (sqrt (+ x 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (- 1 x) (* x x))) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (- (* (/ 1 (sqrt (+ (pow x 3) 1))) (/ (sqrt (+ (- 1 x) (* x x))) (sqrt (+ x 1)))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 66 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (- (* x x) (* 1 1)))) (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (79 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* x x) -1))) (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (- (* (/ (/ 1 (sqrt (+ (* x x) -1))) (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1))))) (/ (sqrt (- x 1)) (cbrt (sqrt (+ x 1))))) (/ 1 (- x 1)))) * [enter]simplify: Simplifying (/ (sqrt (- x 1)) (cbrt (sqrt (+ x 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (sqrt (- x 1)) (cbrt (sqrt (+ 1 x)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (- (* (/ (/ 1 (sqrt (+ (* x x) -1))) (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1))))) (/ (sqrt (- x 1)) (cbrt (sqrt (+ 1 x))))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 67 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (- (* x x) (* 1 1)))) (sqrt (* (cbrt (+ x 1)) (cbrt (+ x 1))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (/ (/ 1 (fabs (cbrt (+ x 1)))) (sqrt (- (* x x) 1))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (- (* (/ (/ 1 (fabs (cbrt (+ x 1)))) (sqrt (- (* x x) 1))) (/ (sqrt (- x 1)) (sqrt (cbrt (+ x 1))))) (/ 1 (- x 1)))) * [enter]simplify: Simplifying (/ (sqrt (- x 1)) (sqrt (cbrt (+ x 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (sqrt (- x 1)) (sqrt (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (- (* (/ (/ 1 (fabs (cbrt (+ x 1)))) (sqrt (- (* x x) 1))) (/ (sqrt (- x 1)) (sqrt (cbrt (+ 1 x))))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 68 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (- (* x x) (* 1 1)))) (sqrt (sqrt (+ x 1)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (67 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (- (* x x) 1))) (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (- (* (/ (/ 1 (sqrt (- (* x x) 1))) (sqrt (sqrt (+ x 1)))) (/ (sqrt (- x 1)) (sqrt (sqrt (+ x 1))))) (/ 1 (- x 1)))) * [enter]simplify: Simplifying (/ (sqrt (- x 1)) (sqrt (sqrt (+ x 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (sqrt (- x 1)) (sqrt (sqrt (+ 1 x)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (- (* (/ (/ 1 (sqrt (- (* x x) 1))) (sqrt (sqrt (+ x 1)))) (/ (sqrt (- x 1)) (sqrt (sqrt (+ 1 x))))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 69 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (- (* x x) (* 1 1)))) (sqrt 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (66 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (+ (* x x) -1))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (- (* (/ 1 (sqrt (+ (* x x) -1))) (/ (sqrt (- x 1)) (sqrt (+ x 1)))) (/ 1 (- x 1)))) * [enter]simplify: Simplifying (/ (sqrt (- x 1)) (sqrt (+ x 1))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ -1 x)) (sqrt (+ 1 x))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (- (* (/ 1 (sqrt (+ (* x x) -1))) (/ (sqrt (+ -1 x)) (sqrt (+ 1 x)))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 70 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (- (* x x) (* 1 1)))) (sqrt (sqrt (+ x 1)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (67 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (- (* x x) 1))) (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (- (* (/ (/ 1 (sqrt (- (* x x) 1))) (sqrt (sqrt (+ x 1)))) (/ (sqrt (- x 1)) (sqrt (sqrt (+ x 1))))) (/ 1 (- x 1)))) * [enter]simplify: Simplifying (/ (sqrt (- x 1)) (sqrt (sqrt (+ x 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (sqrt (- x 1)) (sqrt (sqrt (+ 1 x)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (- (* (/ (/ 1 (sqrt (- (* x x) 1))) (sqrt (sqrt (+ x 1)))) (/ (sqrt (- x 1)) (sqrt (sqrt (+ 1 x))))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 71 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (- (* x x) (* 1 1)))) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (+ -1 (* x x)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (- (* (/ 1 (sqrt (+ -1 (* x x)))) (/ (sqrt (- x 1)) (sqrt (+ x 1)))) (/ 1 (- x 1)))) * [enter]simplify: Simplifying (/ (sqrt (- x 1)) (sqrt (+ x 1))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ -1 x)) (sqrt (+ 1 x))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (- (* (/ 1 (sqrt (+ -1 (* x x)))) (/ (sqrt (+ -1 x)) (sqrt (+ 1 x)))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 72 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 73 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 74 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 75 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (+ x 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ 1 x))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (- (/ (/ (/ 1 (sqrt (+ x 1))) (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1))))) (cbrt (sqrt (+ 1 x)))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 76 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (+ x 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (+ 1 x))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (- (/ (/ (/ 1 (sqrt (+ x 1))) (sqrt (* (cbrt (+ x 1)) (cbrt (+ x 1))))) (sqrt (cbrt (+ 1 x)))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 77 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ x 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ 1 x))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (- (/ (/ (/ 1 (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt (sqrt (+ 1 x)))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 78 / 133 ] 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 (sqrt (+ x 1))) (sqrt 1)) (sqrt (+ 1 x))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 79 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ x 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ 1 x))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (- (/ (/ (/ 1 (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt (sqrt (+ 1 x)))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 80 / 133 ] 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 (sqrt (+ x 1))) 1) (sqrt (+ 1 x))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 81 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ 1 (sqrt (+ x 1)))) (cbrt (/ 1 (sqrt (+ x 1))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 1 (sqrt (+ x 1)))) (cbrt (/ 1 (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (- (/ (* (cbrt (/ 1 (sqrt (+ x 1)))) (cbrt (/ 1 (sqrt (+ x 1))))) (/ (sqrt (+ x 1)) (cbrt (/ 1 (sqrt (+ x 1)))))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 82 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 1 (sqrt (+ x 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (sqrt (/ 1 (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (- (/ (sqrt (/ 1 (sqrt (+ x 1)))) (/ (sqrt (+ x 1)) (sqrt (/ 1 (sqrt (+ x 1)))))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 83 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 84 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 85 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (+ (pow x 3) (pow 1 3)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (+ (pow x 3) 1))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (- (/ (/ 1 (sqrt (+ (pow x 3) 1))) (/ (sqrt (+ x 1)) (sqrt (+ (* x x) (- (* 1 1) (* x 1)))))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 86 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (- (* x x) (* 1 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (59 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (- (* x x) 1))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (- (/ (/ 1 (sqrt (- (* x x) 1))) (/ (sqrt (+ x 1)) (sqrt (- x 1)))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 87 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (* x x) (- (* 1 1) (* x 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * [exit]simplify: Simplified to (sqrt (- (* x x) (- x 1))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (- (* (/ (/ 1 (sqrt (+ x 1))) (sqrt (+ (pow x 3) (pow 1 3)))) (sqrt (- (* x x) (- x 1)))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 88 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- x 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * * [misc]simplify: iters left: 1 (10 enodes) * [exit]simplify: Simplified to (sqrt (+ x -1)) * [misc]simplify: Simplified (2 1 2) to (λ (x) (- (* (/ (/ 1 (sqrt (+ x 1))) (sqrt (- (* x x) (* 1 1)))) (sqrt (+ x -1))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 89 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 90 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 91 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to -1 * [misc]simplify: Simplified (2 2 2) to (λ (x) (- (/ (/ 1 (sqrt (+ x 1))) (sqrt (+ x 1))) (pow (- x 1) -1))) * * * * [misc]progress: [ 92 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 93 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 94 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 95 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 96 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 97 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 98 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 99 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 100 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 101 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 102 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 103 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- x 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * * [misc]simplify: iters left: 1 (10 enodes) * [exit]simplify: Simplified to (cbrt (+ x -1)) * [misc]simplify: Simplified (2 2 2) to (λ (x) (- (/ (/ 1 (sqrt (+ x 1))) (sqrt (+ x 1))) (/ (/ 1 (* (cbrt (- x 1)) (cbrt (- x 1)))) (cbrt (+ x -1))))) * * * * [misc]progress: [ 104 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- x 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * * [misc]simplify: iters left: 1 (10 enodes) * [exit]simplify: Simplified to (sqrt (+ x -1)) * [misc]simplify: Simplified (2 2 2) to (λ (x) (- (/ (/ 1 (sqrt (+ x 1))) (sqrt (+ x 1))) (/ (/ 1 (sqrt (- x 1))) (sqrt (+ x -1))))) * * * * [misc]progress: [ 105 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (- x 1) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (8 enodes) * [exit]simplify: Simplified to (+ x -1) * [misc]simplify: Simplified (2 2 2) to (λ (x) (- (/ (/ 1 (sqrt (+ x 1))) (sqrt (+ x 1))) (/ (/ 1 1) (+ x -1)))) * * * * [misc]progress: [ 106 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* x x) (+ (* 1 1) (* x 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 (25 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (+ (* x x) (+ 1 x)) * [misc]simplify: Simplified (2 2 2) to (λ (x) (- (/ (/ 1 (sqrt (+ x 1))) (sqrt (+ x 1))) (* (/ 1 (- (pow x 3) (pow 1 3))) (+ (* x x) (+ 1 x))))) * * * * [misc]progress: [ 107 / 133 ] 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 (sqrt (+ x 1))) (sqrt (+ x 1))) (* (/ 1 (- (* x x) (* 1 1))) (+ 1 x)))) * * * * [misc]progress: [ 108 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 109 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 110 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 111 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 112 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 113 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 114 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (+ x 1)) (cbrt (+ x 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (fabs (cbrt (+ 1 x))) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (- (/ (/ 1 (sqrt (+ x 1))) (* (fabs (cbrt (+ 1 x))) (sqrt (cbrt (+ x 1))))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 115 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ x 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ 1 x))) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (- (/ (/ 1 (sqrt (+ x 1))) (* (sqrt (sqrt (+ 1 x))) (sqrt (sqrt (+ x 1))))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 116 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (- (/ (/ 1 (sqrt (+ x 1))) (* 1 (sqrt (+ x 1)))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 117 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (pow x 3) (pow 1 3))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 (pow x 3))) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (- (/ (/ 1 (sqrt (+ x 1))) (/ (sqrt (+ 1 (pow x 3))) (sqrt (+ (* x x) (- (* 1 1) (* x 1)))))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 118 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (* x x) (* 1 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * [exit]simplify: Simplified to (sqrt (- (* x x) 1)) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (- (/ (/ 1 (sqrt (+ x 1))) (/ (sqrt (- (* x x) 1)) (sqrt (- x 1)))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 119 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 120 / 133 ] 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 1) to (λ (x) (- (/ (/ 1 (sqrt (+ x 1))) (fabs (sqrt (+ 1 x)))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 121 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 122 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 3/8 (pow x 2)) 1) (* 1/2 x)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to (+ (* (* 3/8 x) x) (+ (* x -1/2) 1)) * [misc]simplify: Simplified (2 1 1) to (λ (x) (- (/ (+ (* (* 3/8 x) x) (+ (* x -1/2) 1)) (sqrt (+ x 1))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 123 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (- (/ +nan.0 (sqrt (+ x 1))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 124 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (- (/ +nan.0 (sqrt (+ x 1))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 125 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (pow x 2) 1) x) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (+ (- 1 x) (* x x)) * [misc]simplify: Simplified (2 1) to (λ (x) (- (+ (- 1 x) (* x x)) (/ 1 (- x 1)))) * * * * [misc]progress: [ 126 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) * [misc]simplify: Simplified (2 1) to (λ (x) (- +nan.0 (/ 1 (- x 1)))) * * * * [misc]progress: [ 127 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) * [misc]simplify: Simplified (2 1) to (λ (x) (- +nan.0 (/ 1 (- x 1)))) * * * * [misc]progress: [ 128 / 133 ] 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 (59 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (124 enodes) * [exit]simplify: Simplified to (- (- -1 x) (* x x)) * [misc]simplify: Simplified (2 2) to (λ (x) (- (/ (/ 1 (sqrt (+ x 1))) (sqrt (+ x 1))) (- (- -1 x) (* x x)))) * * * * [misc]progress: [ 129 / 133 ] 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 (33 enodes) * [exit]simplify: Simplified to (+ (+ (/ 1 x) (/ (/ 1 x) (* x x))) (/ (/ 1 x) x)) * [misc]simplify: Simplified (2 2) to (λ (x) (- (/ (/ 1 (sqrt (+ x 1))) (sqrt (+ x 1))) (+ (+ (/ 1 x) (/ (/ 1 x) (* x x))) (/ (/ 1 x) x)))) * * * * [misc]progress: [ 130 / 133 ] 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 (33 enodes) * [exit]simplify: Simplified to (+ (+ (/ 1 x) (/ (/ 1 x) (* x x))) (/ (/ 1 x) x)) * [misc]simplify: Simplified (2 2) to (λ (x) (- (/ (/ 1 (sqrt (+ x 1))) (sqrt (+ x 1))) (+ (+ (/ 1 x) (/ (/ 1 x) (* x x))) (/ (/ 1 x) x)))) * * * * [misc]progress: [ 131 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/2 x) 1) (* 1/8 (pow x 2))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (88 enodes) * [exit]simplify: Simplified to (+ (+ 1 (* 1/2 x)) (* (* x x) -1/8)) * [misc]simplify: Simplified (2 1 2) to (λ (x) (- (/ (/ 1 (sqrt (+ x 1))) (+ (+ 1 (* 1/2 x)) (* (* x x) -1/8))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 132 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (- (/ (/ 1 (sqrt (+ x 1))) +nan.0) (/ 1 (- x 1)))) * * * * [misc]progress: [ 133 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (- (/ (/ 1 (sqrt (+ x 1))) +nan.0) (/ 1 (- x 1)))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 4 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 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 0)) into 1/3 * [misc]backup-simplify: Simplify (exp 0) into 1 * [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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 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 0)) into 1/3 * [misc]backup-simplify: Simplify (exp 0) into 1 * [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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 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 0)) into 1/3 * [misc]backup-simplify: Simplify (exp 0) into 1 * [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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 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 0)) into 1/3 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1/3 1) 1)))) into 1/3 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1/3 1) 1)))) into 1/3 * [misc]backup-simplify: Simplify (+ (* 1 1/3) (* 1/3 1)) into 2/3 * [misc]backup-simplify: Simplify 2/3 into 2/3 * [misc]backup-simplify: Simplify (+ 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 0))) into -1/6 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow -1/6 1) 1)))) into -1/9 * [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 0))) into -1/6 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow -1/6 1) 1)))) into -1/9 * [misc]backup-simplify: Simplify (+ (* 1 -1/9) (+ (* 1/3 1/3) (* -1/9 1))) into -1/9 * [misc]backup-simplify: Simplify -1/9 into -1/9 * [misc]backup-simplify: Simplify (+ (* -1/9 (pow x 2)) (+ (* 2/3 x) 1)) into (- (+ (* 2/3 x) 1) (* 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 (+ 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 (+ 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 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 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 (- (+ (* 2/3 (pow (/ 1 x) 1/3)) (pow (pow x 2) 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 (+ 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 (+ 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 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 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) (* 2/3 (/ (pow (exp (* 1/3 (- (log -1) (log (/ -1 x))))) 2) x))) (* 1/9 (/ (pow (exp (* 1/3 (- (log -1) (log (/ -1 x))))) 2) (pow x 2)))) * * * * [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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 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 0)) into 1/3 * [misc]backup-simplify: Simplify (exp 0) into 1 * [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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 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 0)) into 1/3 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1/3 1) 1)))) into 1/3 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]backup-simplify: Simplify (+ 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 0))) into -1/6 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow -1/6 1) 1)))) into -1/9 * [misc]backup-simplify: Simplify -1/9 into -1/9 * [misc]backup-simplify: Simplify (+ (* -1/9 (pow x 2)) (+ (* 1/3 x) 1)) into (- (+ (* 1/3 x) 1) (* 1/9 (pow x 2))) * [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 (+ 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 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 (- (+ (* 1/3 (pow (/ 1 (pow x 2)) 1/3)) (pow (/ 1 x) -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 (+ 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 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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 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 0)) into 1/3 * [misc]backup-simplify: Simplify (exp 0) into 1 * [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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 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 0)) into 1/3 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1/3 1) 1)))) into 1/3 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]backup-simplify: Simplify (+ 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 0))) into -1/6 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow -1/6 1) 1)))) into -1/9 * [misc]backup-simplify: Simplify -1/9 into -1/9 * [misc]backup-simplify: Simplify (+ (* -1/9 (pow x 2)) (+ (* 1/3 x) 1)) into (- (+ (* 1/3 x) 1) (* 1/9 (pow x 2))) * [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 (+ 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 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 (- (+ (* 1/3 (pow (/ 1 (pow x 2)) 1/3)) (pow (/ 1 x) -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 (+ 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 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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 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 0)) into 1/3 * [misc]backup-simplify: Simplify (exp 0) into 1 * [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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 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 0)) into 1/3 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1/3 1) 1)))) into 1/3 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]backup-simplify: Simplify (+ 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 0))) into -1/6 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow -1/6 1) 1)))) into -1/9 * [misc]backup-simplify: Simplify -1/9 into -1/9 * [misc]backup-simplify: Simplify (+ (* -1/9 (pow x 2)) (+ (* 1/3 x) 1)) into (- (+ (* 1/3 x) 1) (* 1/9 (pow x 2))) * [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 (+ 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 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 (- (+ (* 1/3 (pow (/ 1 (pow x 2)) 1/3)) (pow (/ 1 x) -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 (+ 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 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 / 87 ] 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 1 2 1) to (λ (x) (- (/ (/ 1 (pow (+ 1 x) (+ 1/3 1/3))) (cbrt (+ x 1))) (/ 1 (- x 1)))) * [enter]simplify: Simplifying (+ 1/3 1/3) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to 2/3 * [misc]simplify: Simplified (2 1 1 2 2) to (λ (x) (- (/ (/ 1 (pow (+ x 1) 2/3)) (cbrt (+ x 1))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 2 / 87 ] 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 1) to (λ (x) (- (/ (/ 1 (pow (cbrt (+ 1 x)) (+ 1 1))) (cbrt (+ x 1))) (/ 1 (- x 1)))) * [enter]simplify: Simplifying (+ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to 2 * [misc]simplify: Simplified (2 1 1 2 2) to (λ (x) (- (/ (/ 1 (pow (cbrt (+ x 1)) 2)) (cbrt (+ x 1))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 3 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ x 1) (+ x 1)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to (* (+ 1 x) (+ 1 x)) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (x) (- (/ (/ 1 (pow (* (+ 1 x) (+ 1 x)) 1/3)) (cbrt (+ x 1))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 4 / 87 ] simplifiying candidate # * [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 1) to (λ (x) (- (/ (/ 1 (pow (* (cbrt (+ 1 x)) (cbrt (+ 1 x))) 1)) (cbrt (+ x 1))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 5 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 87 ] 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 1) to (λ (x) (- (/ (/ 1 (pow (cbrt (+ 1 x)) (+ 1 1))) (cbrt (+ x 1))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 7 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 87 ] 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 (9 enodes) * [exit]simplify: Simplified to (+ (log (cbrt (+ 1 x))) (log (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (x) (- (/ (/ 1 (exp (+ (log (cbrt (+ 1 x))) (log (cbrt (+ 1 x)))))) (cbrt (+ x 1))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 9 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ x 1) (+ x 1)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to (* (+ 1 x) (+ 1 x)) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (x) (- (/ (/ 1 (cbrt (* (+ 1 x) (+ 1 x)))) (cbrt (+ x 1))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 12 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ (pow x 3) (pow 1 3))) (cbrt (+ (pow x 3) (pow 1 3)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (* (cbrt (+ 1 (pow x 3))) (cbrt (+ 1 (pow x 3)))) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (x) (- (/ (/ 1 (/ (* (cbrt (+ 1 (pow x 3))) (cbrt (+ 1 (pow x 3)))) (* (cbrt (+ (* x x) (- (* 1 1) (* x 1)))) (cbrt (+ (* x x) (- (* 1 1) (* x 1))))))) (cbrt (+ x 1))) (/ 1 (- 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 (16 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * [exit]simplify: Simplified to (* (cbrt (- (* x x) (- x 1))) (cbrt (- (* x x) (- x 1)))) * [misc]simplify: Simplified (2 1 1 2 2) to (λ (x) (- (/ (/ 1 (/ (* (cbrt (+ 1 (pow x 3))) (cbrt (+ 1 (pow x 3)))) (* (cbrt (- (* x x) (- x 1))) (cbrt (- (* x x) (- x 1)))))) (cbrt (+ x 1))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 16 / 87 ] 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 (22 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (* (cbrt (- (* x x) 1)) (cbrt (+ 1 (pow x 3)))) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (x) (- (/ (/ 1 (/ (* (cbrt (- (* x x) 1)) (cbrt (+ 1 (pow x 3)))) (* (cbrt (+ (* x x) (- (* 1 1) (* x 1)))) (cbrt (- x 1))))) (cbrt (+ x 1))) (/ 1 (- 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 (22 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (* (cbrt (- x 1)) (cbrt (+ (- 1 x) (* x x)))) * [misc]simplify: Simplified (2 1 1 2 2) to (λ (x) (- (/ (/ 1 (/ (* (cbrt (- (* x x) 1)) (cbrt (+ 1 (pow x 3)))) (* (cbrt (- x 1)) (cbrt (+ (- 1 x) (* x x)))))) (cbrt (+ x 1))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 17 / 87 ] 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 (22 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (* (cbrt (- (* x x) 1)) (cbrt (+ (pow x 3) 1))) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (x) (- (/ (/ 1 (/ (* (cbrt (- (* x x) 1)) (cbrt (+ (pow x 3) 1))) (* (cbrt (- x 1)) (cbrt (+ (* x x) (- (* 1 1) (* x 1))))))) (cbrt (+ x 1))) (/ 1 (- 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 (22 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (* (cbrt (+ x -1)) (cbrt (+ (* x x) (- 1 x)))) * [misc]simplify: Simplified (2 1 1 2 2) to (λ (x) (- (/ (/ 1 (/ (* (cbrt (- (* x x) 1)) (cbrt (+ (pow x 3) 1))) (* (cbrt (+ x -1)) (cbrt (+ (* x x) (- 1 x)))))) (cbrt (+ x 1))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 18 / 87 ] 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 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (59 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))) (/ 1 (- x 1)))) * [enter]simplify: Simplifying (* (cbrt (- x 1)) (cbrt (- x 1))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (* (cbrt (+ x -1)) (cbrt (+ x -1))) * [misc]simplify: Simplified (2 1 1 2 2) to (λ (x) (- (/ (/ 1 (/ (* (cbrt (- (* x x) 1)) (cbrt (- (* x x) 1))) (* (cbrt (+ x -1)) (cbrt (+ x -1))))) (cbrt (+ x 1))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 19 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cbrt (+ x 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (+ 1 x))) * [misc]simplify: Simplified (2 1 1 2 2) to (λ (x) (- (/ (/ 1 (* (* (cbrt (+ x 1)) (cbrt (* (cbrt (+ x 1)) (cbrt (+ x 1))))) (cbrt (cbrt (+ 1 x))))) (cbrt (+ x 1))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 21 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (+ x 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ 1 x))) * [misc]simplify: Simplified (2 1 1 2 2) to (λ (x) (- (/ (/ 1 (* (* (cbrt (+ x 1)) (cbrt (sqrt (+ x 1)))) (cbrt (sqrt (+ 1 x))))) (cbrt (+ x 1))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 22 / 87 ] 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 1)) (cbrt (+ 1 x)))) (cbrt (+ x 1))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 23 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cbrt (+ x 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (+ 1 x))) * [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 (+ 1 x))))) (cbrt (+ x 1))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 24 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (+ x 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (+ 1 x))) * [misc]simplify: Simplified (2 1 1 2 2) to (λ (x) (- (/ (/ 1 (* (* (cbrt (+ x 1)) (sqrt (cbrt (+ x 1)))) (sqrt (cbrt (+ 1 x))))) (cbrt (+ x 1))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 25 / 87 ] 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)) 1) (cbrt (+ 1 x)))) (cbrt (+ x 1))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 26 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (+ x 1)) (cbrt (+ x 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (x) (- (/ (/ 1 (* (cbrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (* (cbrt (cbrt (+ x 1))) (cbrt (+ x 1))))) (cbrt (+ x 1))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 27 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (+ x 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ 1 x))) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (x) (- (/ (/ 1 (* (cbrt (sqrt (+ 1 x))) (* (cbrt (sqrt (+ x 1))) (cbrt (+ x 1))))) (cbrt (+ x 1))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 28 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1 2 1) to (λ (x) (- (/ (/ 1 (* 1 (* (cbrt (+ x 1)) (cbrt (+ x 1))))) (cbrt (+ x 1))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 29 / 87 ] 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 (9 enodes) * [exit]simplify: Simplified to (* (cbrt (cbrt (+ 1 x))) (cbrt (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (x) (- (/ (/ 1 (* (* (cbrt (cbrt (+ 1 x))) (cbrt (cbrt (+ 1 x)))) (* (cbrt (cbrt (+ x 1))) (cbrt (+ x 1))))) (cbrt (+ x 1))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 30 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (+ x 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (+ 1 x))) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (x) (- (/ (/ 1 (* (sqrt (cbrt (+ 1 x))) (* (sqrt (cbrt (+ x 1))) (cbrt (+ x 1))))) (cbrt (+ x 1))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 31 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (* x x) (- (* 1 1) (* x 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * [exit]simplify: Simplified to (cbrt (- (* x x) (- 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 (- (* x x) (- x 1))))) (cbrt (+ x 1))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 33 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- x 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * * [misc]simplify: iters left: 1 (10 enodes) * [exit]simplify: Simplified to (cbrt (+ x -1)) * [misc]simplify: Simplified (2 1 1 2 2) to (λ (x) (- (/ (/ 1 (/ (* (cbrt (+ x 1)) (cbrt (- (* x x) (* 1 1)))) (cbrt (+ x -1)))) (cbrt (+ x 1))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 34 / 87 ] 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 (20 enodes) * [exit]simplify: Simplified to (* (cbrt (+ 1 (pow x 3))) (cbrt (+ 1 x))) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (x) (- (/ (/ 1 (/ (* (cbrt (+ 1 (pow x 3))) (cbrt (+ 1 x))) (cbrt (+ (* x x) (- (* 1 1) (* x 1)))))) (cbrt (+ x 1))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 35 / 87 ] 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 (16 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (* (cbrt (+ x 1)) (cbrt (+ -1 (* x x)))) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (x) (- (/ (/ 1 (/ (* (cbrt (+ x 1)) (cbrt (+ -1 (* x x)))) (cbrt (- x 1)))) (cbrt (+ x 1))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 36 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (+ x 1)) (cbrt (+ x 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (- (/ (/ 1 (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (* (cbrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (cbrt (cbrt (+ x 1))))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 42 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (+ x 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ 1 x))) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (- (/ (/ 1 (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ x 1))))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 43 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (- (/ (/ 1 (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (* 1 (cbrt (+ x 1)))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 44 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (pow x 3) (pow 1 3))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (cbrt (+ 1 (pow x 3))) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (- (/ (/ 1 (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (/ (cbrt (+ 1 (pow x 3))) (cbrt (+ (* x x) (- (* 1 1) (* x 1)))))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 45 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (* x x) (* 1 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (33 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)))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 46 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (+ x 1)) (cbrt (+ x 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 1 1 2 2 1) to (λ (x) (- (/ (/ 1 (* (cbrt (+ x 1)) (* (cbrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (cbrt (cbrt (+ x 1)))))) (cbrt (+ x 1))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 55 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (+ x 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ 1 x))) * [misc]simplify: Simplified (2 1 1 2 2 1) to (λ (x) (- (/ (/ 1 (* (cbrt (+ x 1)) (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ x 1)))))) (cbrt (+ x 1))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 56 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1 2 2 1) to (λ (x) (- (/ (/ 1 (* (cbrt (+ x 1)) (* 1 (cbrt (+ x 1))))) (cbrt (+ x 1))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 57 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (pow x 3) (pow 1 3))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (cbrt (+ 1 (pow x 3))) * [misc]simplify: Simplified (2 1 1 2 2 1) to (λ (x) (- (/ (/ 1 (* (cbrt (+ x 1)) (/ (cbrt (+ 1 (pow x 3))) (cbrt (+ (* x x) (- (* 1 1) (* x 1))))))) (cbrt (+ x 1))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 58 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (* x x) (* 1 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (33 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))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 59 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 60 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 61 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 62 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 63 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 64 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 65 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 66 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 67 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (+ x 1)) (cbrt (+ x 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 1 1 2 1 1) to (λ (x) (- (/ (/ 1 (* (* (cbrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (cbrt (cbrt (+ x 1)))) (cbrt (+ x 1)))) (cbrt (+ x 1))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 68 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (+ x 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ 1 x))) * [misc]simplify: Simplified (2 1 1 2 1 1) to (λ (x) (- (/ (/ 1 (* (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ x 1)))) (cbrt (+ x 1)))) (cbrt (+ x 1))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 69 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1 2 1 1) to (λ (x) (- (/ (/ 1 (* (* 1 (cbrt (+ x 1))) (cbrt (+ x 1)))) (cbrt (+ x 1))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 70 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (pow x 3) (pow 1 3))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (cbrt (+ 1 (pow x 3))) * [misc]simplify: Simplified (2 1 1 2 1 1) to (λ (x) (- (/ (/ 1 (* (/ (cbrt (+ 1 (pow x 3))) (cbrt (+ (* x x) (- (* 1 1) (* x 1))))) (cbrt (+ x 1)))) (cbrt (+ x 1))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 71 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (* x x) (* 1 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (33 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))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 72 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 73 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 74 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 75 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 76 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 2/3 x) 1) (* 1/9 (pow x 2))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (88 enodes) * [exit]simplify: Simplified to (+ (+ 1 (* 2/3 x)) (* (* x x) -1/9)) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (- (/ (/ 1 (+ (+ 1 (* 2/3 x)) (* (* x x) -1/9))) (cbrt (+ x 1))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 77 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 2/3 (pow (/ 1 x) 1/3)) (pow (pow x 2) 1/3)) (* 1/9 (pow (/ 1 (pow x 4)) 1/3))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (64 enodes) * [exit]simplify: Simplified to (+ (* -1/9 (cbrt (/ 1 (pow x 4)))) (- (cbrt (* x x)) (* (cbrt (/ 1 x)) -2/3))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (- (/ (/ 1 (+ (* -1/9 (cbrt (/ 1 (pow x 4)))) (- (cbrt (* x x)) (* (cbrt (/ 1 x)) -2/3)))) (cbrt (+ x 1))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 78 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (pow (exp (* 1/3 (- (log -1) (log (/ -1 x))))) 2) (* 2/3 (/ (pow (exp (* 1/3 (- (log -1) (log (/ -1 x))))) 2) x))) (* 1/9 (/ (pow (exp (* 1/3 (- (log -1) (log (/ -1 x))))) 2) (pow x 2)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (93 enodes) * * [misc]simplify: iters left: 3 (200 enodes) * * [misc]simplify: iters left: 2 (476 enodes) * [exit]simplify: Simplified to (+ (* (/ (pow x 2/3) x) (+ 2/3 (/ -1/9 x))) (pow x 2/3)) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (- (/ (/ 1 (+ (* (/ (pow x 2/3) x) (+ 2/3 (/ -1/9 x))) (pow x 2/3))) (cbrt (+ x 1))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 79 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/3 x) 1) (* 1/9 (pow x 2))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (88 enodes) * [exit]simplify: Simplified to (+ (+ 1 (* 1/3 x)) (* (* x x) -1/9)) * [misc]simplify: Simplified (2 1 2) to (λ (x) (- (/ (/ 1 (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (+ (+ 1 (* 1/3 x)) (* (* x x) -1/9))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 80 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/3 (pow (/ 1 (pow x 2)) 1/3)) (pow (/ 1 x) -1/3)) (* 1/9 (pow (/ 1 (pow x 5)) 1/3))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (64 enodes) * [exit]simplify: Simplified to (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (- (pow (/ 1 x) -1/3) (* -1/3 (cbrt (/ 1 (* x x)))))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (- (/ (/ 1 (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (- (pow (/ 1 x) -1/3) (* -1/3 (cbrt (/ 1 (* x x))))))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 81 / 87 ] 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 (37 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (136 enodes) * * [misc]simplify: iters left: 2 (269 enodes) * [exit]simplify: Simplified to (+ (cbrt x) (* (+ (/ -1/9 x) 1/3) (/ (cbrt x) x))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (- (/ (/ 1 (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (+ (cbrt x) (* (+ (/ -1/9 x) 1/3) (/ (cbrt x) x)))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 82 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/3 x) 1) (* 1/9 (pow x 2))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (88 enodes) * [exit]simplify: Simplified to (+ (+ 1 (* 1/3 x)) (* (* x x) -1/9)) * [misc]simplify: Simplified (2 1 1 2 2) to (λ (x) (- (/ (/ 1 (* (cbrt (+ x 1)) (+ (+ 1 (* 1/3 x)) (* (* x x) -1/9)))) (cbrt (+ x 1))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 83 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/3 (pow (/ 1 (pow x 2)) 1/3)) (pow (/ 1 x) -1/3)) (* 1/9 (pow (/ 1 (pow x 5)) 1/3))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (64 enodes) * [exit]simplify: Simplified to (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (- (pow (/ 1 x) -1/3) (* -1/3 (cbrt (/ 1 (* x x)))))) * [misc]simplify: Simplified (2 1 1 2 2) to (λ (x) (- (/ (/ 1 (* (cbrt (+ x 1)) (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (- (pow (/ 1 x) -1/3) (* -1/3 (cbrt (/ 1 (* x x)))))))) (cbrt (+ x 1))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 84 / 87 ] 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 (37 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (136 enodes) * * [misc]simplify: iters left: 2 (269 enodes) * [exit]simplify: Simplified to (+ (cbrt x) (* (+ (/ -1/9 x) 1/3) (/ (cbrt x) x))) * [misc]simplify: Simplified (2 1 1 2 2) to (λ (x) (- (/ (/ 1 (* (cbrt (+ x 1)) (+ (cbrt x) (* (+ (/ -1/9 x) 1/3) (/ (cbrt x) x))))) (cbrt (+ x 1))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 85 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/3 x) 1) (* 1/9 (pow x 2))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (88 enodes) * [exit]simplify: Simplified to (+ (+ 1 (* 1/3 x)) (* (* x x) -1/9)) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (x) (- (/ (/ 1 (* (+ (+ 1 (* 1/3 x)) (* (* x x) -1/9)) (cbrt (+ x 1)))) (cbrt (+ x 1))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 86 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/3 (pow (/ 1 (pow x 2)) 1/3)) (pow (/ 1 x) -1/3)) (* 1/9 (pow (/ 1 (pow x 5)) 1/3))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (64 enodes) * [exit]simplify: Simplified to (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (- (pow (/ 1 x) -1/3) (* -1/3 (cbrt (/ 1 (* x x)))))) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (x) (- (/ (/ 1 (* (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (- (pow (/ 1 x) -1/3) (* -1/3 (cbrt (/ 1 (* x x)))))) (cbrt (+ x 1)))) (cbrt (+ x 1))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 87 / 87 ] 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 (37 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (136 enodes) * * [misc]simplify: iters left: 2 (269 enodes) * [exit]simplify: Simplified to (+ (cbrt x) (* (+ (/ -1/9 x) 1/3) (/ (cbrt x) x))) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (x) (- (/ (/ 1 (* (+ (cbrt x) (* (+ (/ -1/9 x) 1/3) (/ (cbrt x) x))) (cbrt (+ x 1)))) (cbrt (+ x 1))) (/ 1 (- x 1)))) * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime: Finding splitpoints for: (# # # # # # # # #) * * * [misc]regime-changes: Trying 2 branch expressions: (x (- (/ 1 (+ x 1)) (/ 1 (- x 1)))) * * * * [misc]regimes: Trying to branch on x from (# # # # # # # # #) * * * * [misc]regimes: Trying to branch on (- (/ 1 (+ x 1)) (/ 1 (- x 1))) from (# # # # # # # # #) * * * [misc]regime: Found split indices: #