* [misc]progress: [Phase 1 of 3] Setting up. * * * [misc]progress: [1/2] Preparing points * * * * [misc]points: Sampling 256 additional inputs, on iter 0 have 0 / 256 * * * * [misc]points: Computing exacts on every 16 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 8 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 4 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 2 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 256 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 120 additional inputs, on iter 1 have 136 / 256 * * * * [misc]points: Computing exacts on every 7 of 120 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 3 of 120 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 120 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 67 additional inputs, on iter 2 have 189 / 256 * * * * [misc]points: Computing exacts on every 4 of 67 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 2 of 67 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 67 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 37 additional inputs, on iter 3 have 219 / 256 * * * * [misc]points: Computing exacts on every 2 of 37 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 37 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 20 additional inputs, on iter 4 have 236 / 256 * * * * [misc]points: Computing exacts for 20 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 13 additional inputs, on iter 5 have 243 / 256 * * * * [misc]points: Computing exacts for 13 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 7 additional inputs, on iter 6 have 249 / 256 * * * * [misc]points: Computing exacts for 7 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 7 have 254 / 256 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 256 points with exact outputs * * * [misc]progress: [2/2] Setting up program. * [misc]progress: [Phase 2 of 3] Improving. * [enter]simplify: Simplifying (exp (- (- 1 (* x x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: iters left: 1 (118 enodes) * [exit]simplify: Simplified to (/ (exp (* x x)) E) * * [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 / 1 ] rewriting at (2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 1 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (exp (- (- 1 (* x x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (exp (- (- 1 (* x x)))) in x * [misc]taylor: Taking taylor expansion of (- (- 1 (* x x))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* x x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* x x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (exp -1) into (exp -1) * [misc]taylor: Taking taylor expansion of (exp (- (- 1 (* x x)))) in x * [misc]taylor: Taking taylor expansion of (- (- 1 (* x x))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* x x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* x x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (exp -1) into (exp -1) * [misc]backup-simplify: Simplify (exp -1) into (exp -1) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 1 1) 1)))) into (exp -1) * [misc]backup-simplify: Simplify (exp -1) into (exp -1) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp -1) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 1 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp -1) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 1 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/2 (exp -1)) * [misc]backup-simplify: Simplify (* 1/2 (exp -1)) into (* 1/2 (exp -1)) * [misc]backup-simplify: Simplify (+ (* (* 1/2 (exp -1)) (pow x 4)) (+ (* (exp -1) (pow x 2)) (exp -1))) into (+ (exp -1) (+ (* (pow x 2) (exp -1)) (* 1/2 (* (pow x 4) (exp -1))))) * [misc]approximate: Taking taylor expansion of (exp (- (- 1 (* (/ 1 x) (/ 1 x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (exp (- (- 1 (* (/ 1 x) (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (- (- 1 (* (/ 1 x) (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 x) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (exp (- (- 1 (* (/ 1 x) (/ 1 x))))) into (exp (- (/ 1 (pow x 2)) 1)) * [misc]taylor: Taking taylor expansion of (exp (- (- 1 (* (/ 1 x) (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (- (- 1 (* (/ 1 x) (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 x) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (exp (- (- 1 (* (/ 1 x) (/ 1 x))))) into (exp (- (/ 1 (pow x 2)) 1)) * [misc]backup-simplify: Simplify (exp (- (/ 1 (pow x 2)) 1)) into (exp (- (/ 1 (pow x 2)) 1)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (- (/ 1 (pow (/ 1 x) 2)) 1)) into (exp (- (pow x 2) 1)) * [misc]approximate: Taking taylor expansion of (exp (- (- 1 (* (/ 1 (- x)) (/ 1 (- x)))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (exp (- (- 1 (* (/ 1 (- x)) (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (- (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 (- x)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (exp (- (- 1 (* (/ 1 (- x)) (/ 1 (- x)))))) into (exp (- (/ 1 (pow x 2)) 1)) * [misc]taylor: Taking taylor expansion of (exp (- (- 1 (* (/ 1 (- x)) (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (- (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 (- x)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (exp (- (- 1 (* (/ 1 (- x)) (/ 1 (- x)))))) into (exp (- (/ 1 (pow x 2)) 1)) * [misc]backup-simplify: Simplify (exp (- (/ 1 (pow x 2)) 1)) into (exp (- (/ 1 (pow x 2)) 1)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (- (/ 1 (pow (/ 1 (- x)) 2)) 1)) into (exp (- (pow x 2) 1)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 28 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 28 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 28 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 28 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (cbrt (- (- 1 (* x x)))) (cbrt (- (- 1 (* x x)))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (exp (* (cbrt (- (* x x) 1)) (cbrt (- (* x x) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (pow (exp (* (cbrt (- (* x x) 1)) (cbrt (- (* x x) 1)))) (cbrt (- (- 1 (* x x)))))) * * * * [misc]progress: [ 5 / 28 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (- (- 1 (* x x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (exp (sqrt (- (* x x) 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (pow (exp (sqrt (- (* x x) 1))) (sqrt (- (- 1 (* x x)))))) * * * * [misc]progress: [ 6 / 28 ] simplifiying candidate # * [enter]simplify: Simplifying (exp 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to E * [misc]simplify: Simplified (2 1) to (λ (x) (pow E (- (- 1 (* x x))))) * * * * [misc]progress: [ 7 / 28 ] simplifiying candidate # * [enter]simplify: Simplifying (exp -1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (exp -1) * [misc]simplify: Simplified (2 1) to (λ (x) (pow (exp -1) (- 1 (* x x)))) * * * * [misc]progress: [ 8 / 28 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (- (* (cbrt (- 1 (* x x))) (cbrt (- 1 (* x x)))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * [exit]simplify: Simplified to (pow (exp (cbrt (- 1 (* x x)))) (- (cbrt (- 1 (* x x))))) * [misc]simplify: Simplified (2 1) to (λ (x) (pow (pow (exp (cbrt (- 1 (* x x)))) (- (cbrt (- 1 (* x x))))) (cbrt (- 1 (* x x))))) * * * * [misc]progress: [ 9 / 28 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (- (sqrt (- 1 (* x x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (exp (- (sqrt (- 1 (* x x))))) * [misc]simplify: Simplified (2 1) to (λ (x) (pow (exp (- (sqrt (- 1 (* x x))))) (sqrt (- 1 (* x x))))) * * * * [misc]progress: [ 10 / 28 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (- 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: iters left: 1 (8 enodes) * [exit]simplify: Simplified to (/ 1 E) * [misc]simplify: Simplified (2 1) to (λ (x) (pow (/ 1 E) (- 1 (* x x)))) * * * * [misc]progress: [ 11 / 28 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (cbrt (- 1 (* x x))) (cbrt (- 1 (* x x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (exp (* (cbrt (- 1 (* x x))) (cbrt (- 1 (* x x))))) * [misc]simplify: Simplified (2 1) to (λ (x) (pow (exp (* (cbrt (- 1 (* x x))) (cbrt (- 1 (* x x))))) (- (cbrt (- 1 (* x x)))))) * * * * [misc]progress: [ 12 / 28 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (- 1 (* x x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (exp (sqrt (- 1 (* x x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (pow (exp (sqrt (- 1 (* x x)))) (- (sqrt (- 1 (* x x)))))) * * * * [misc]progress: [ 13 / 28 ] simplifiying candidate # * [enter]simplify: Simplifying (exp 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to E * [misc]simplify: Simplified (2 1) to (λ (x) (pow E (- (- 1 (* x x))))) * * * * [misc]progress: [ 14 / 28 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (- 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: iters left: 1 (8 enodes) * [exit]simplify: Simplified to (/ 1 E) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ 1 E) (exp (- (- (* x x)))))) * * * * [misc]progress: [ 15 / 28 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (- 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: iters left: 1 (8 enodes) * [exit]simplify: Simplified to (/ 1 E) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ 1 E) (exp (- (- (* x x)))))) * * * * [misc]progress: [ 16 / 28 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 28 ] simplifiying candidate # * [enter]simplify: Simplifying (exp 0) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (x) (/ 1 (exp (- 1 (* x x))))) * * * * [misc]progress: [ 18 / 28 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 28 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- 1 (* x x))) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (- (* x x) 1) * [misc]simplify: Simplified (2 1) to (λ (x) (exp (- (* x x) 1))) * * * * [misc]progress: [ 20 / 28 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 28 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 28 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 28 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 28 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 28 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 28 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (exp -1) (+ (* (pow x 2) (exp -1)) (* 1/2 (* (pow x 4) (exp -1))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (196 enodes) * [exit]simplify: Simplified to (fma (fma 1/2 (pow x 4) (* x x)) (exp -1) (exp -1)) * [misc]simplify: Simplified (2) to (λ (x) (fma (fma 1/2 (pow x 4) (* x x)) (exp -1) (exp -1))) * * * * [misc]progress: [ 27 / 28 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (- (pow x 2) 1)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (/ (exp (* x x)) E) * [misc]simplify: Simplified (2) to (λ (x) (/ (exp (* x x)) E)) * * * * [misc]progress: [ 28 / 28 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (- (pow x 2) 1)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (/ (exp (* x x)) E) * [misc]simplify: Simplified (2) to (λ (x) (/ (exp (* x x)) E)) * * * [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 / 1 ] rewriting at (2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 1 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (pow E (- (- 1 (* x x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (pow E (- (- 1 (* x x)))) in x * [misc]taylor: Taking taylor expansion of (exp (* (- (- 1 (* x x))) (log E))) in x * [misc]taylor: Taking taylor expansion of (* (- (- 1 (* x x))) (log E)) in x * [misc]taylor: Taking taylor expansion of (- (- 1 (* x x))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* x x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* x x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log E) in x * [misc]taylor: Taking taylor expansion of E in x * [misc]backup-simplify: Simplify E into E * [misc]backup-simplify: Simplify (log E) into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (* -1 1) into -1 * [misc]backup-simplify: Simplify (exp -1) into (exp -1) * [misc]taylor: Taking taylor expansion of (pow E (- (- 1 (* x x)))) in x * [misc]taylor: Taking taylor expansion of (exp (* (- (- 1 (* x x))) (log E))) in x * [misc]taylor: Taking taylor expansion of (* (- (- 1 (* x x))) (log E)) in x * [misc]taylor: Taking taylor expansion of (- (- 1 (* x x))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* x x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* x x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log E) in x * [misc]taylor: Taking taylor expansion of E in x * [misc]backup-simplify: Simplify E into E * [misc]backup-simplify: Simplify (log E) into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (* -1 1) into -1 * [misc]backup-simplify: Simplify (exp -1) into (exp -1) * [misc]backup-simplify: Simplify (exp -1) into (exp -1) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow E 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow E 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow E 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 1 1))) into 1 * [misc]backup-simplify: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 1 1) 1)))) into (exp -1) * [misc]backup-simplify: Simplify (exp -1) into (exp -1) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow E 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow E 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow E 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 1 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp -1) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 1 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow E 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow E 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow E 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow E 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow E 1)))) 24) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (* (exp -1) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 1 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/2 (exp -1)) * [misc]backup-simplify: Simplify (* 1/2 (exp -1)) into (* 1/2 (exp -1)) * [misc]backup-simplify: Simplify (+ (* (* 1/2 (exp -1)) (pow x 4)) (+ (* (exp -1) (pow x 2)) (exp -1))) into (+ (exp -1) (+ (* (pow x 2) (exp -1)) (* 1/2 (* (pow x 4) (exp -1))))) * [misc]approximate: Taking taylor expansion of (pow E (- (- 1 (* (/ 1 x) (/ 1 x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (pow E (- (- 1 (* (/ 1 x) (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (exp (* (- (- 1 (* (/ 1 x) (/ 1 x)))) (log E))) in x * [misc]taylor: Taking taylor expansion of (* (- (- 1 (* (/ 1 x) (/ 1 x)))) (log E)) in x * [misc]taylor: Taking taylor expansion of (- (- 1 (* (/ 1 x) (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 x) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (log E) in x * [misc]taylor: Taking taylor expansion of E in x * [misc]backup-simplify: Simplify E into E * [misc]backup-simplify: Simplify (log E) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (exp (* (- (- 1 (* (/ 1 x) (/ 1 x)))) (log E))) into (exp (- (/ 1 (pow x 2)) 1)) * [misc]taylor: Taking taylor expansion of (pow E (- (- 1 (* (/ 1 x) (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (exp (* (- (- 1 (* (/ 1 x) (/ 1 x)))) (log E))) in x * [misc]taylor: Taking taylor expansion of (* (- (- 1 (* (/ 1 x) (/ 1 x)))) (log E)) in x * [misc]taylor: Taking taylor expansion of (- (- 1 (* (/ 1 x) (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 x) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (log E) in x * [misc]taylor: Taking taylor expansion of E in x * [misc]backup-simplify: Simplify E into E * [misc]backup-simplify: Simplify (log E) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (exp (* (- (- 1 (* (/ 1 x) (/ 1 x)))) (log E))) into (exp (- (/ 1 (pow x 2)) 1)) * [misc]backup-simplify: Simplify (exp (- (/ 1 (pow x 2)) 1)) into (exp (- (/ 1 (pow x 2)) 1)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (- (/ 1 (pow (/ 1 x) 2)) 1)) into (exp (- (pow x 2) 1)) * [misc]approximate: Taking taylor expansion of (pow E (- (- 1 (* (/ 1 (- x)) (/ 1 (- x)))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (pow E (- (- 1 (* (/ 1 (- x)) (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (exp (* (- (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (log E))) in x * [misc]taylor: Taking taylor expansion of (* (- (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (log E)) in x * [misc]taylor: Taking taylor expansion of (- (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 (- x)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (log E) in x * [misc]taylor: Taking taylor expansion of E in x * [misc]backup-simplify: Simplify E into E * [misc]backup-simplify: Simplify (log E) into 1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (exp (* (- (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (log E))) into (exp (- (/ 1 (pow x 2)) 1)) * [misc]taylor: Taking taylor expansion of (pow E (- (- 1 (* (/ 1 (- x)) (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (exp (* (- (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (log E))) in x * [misc]taylor: Taking taylor expansion of (* (- (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (log E)) in x * [misc]taylor: Taking taylor expansion of (- (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 (- x)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (log E) in x * [misc]taylor: Taking taylor expansion of E in x * [misc]backup-simplify: Simplify E into E * [misc]backup-simplify: Simplify (log E) into 1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (exp (* (- (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (log E))) into (exp (- (/ 1 (pow x 2)) 1)) * [misc]backup-simplify: Simplify (exp (- (/ 1 (pow x 2)) 1)) into (exp (- (/ 1 (pow x 2)) 1)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (- (/ 1 (pow (/ 1 (- x)) 2)) 1)) into (exp (- (pow x 2) 1)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 27 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 27 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 27 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 27 ] simplifiying candidate # * [enter]simplify: Simplifying (pow E (- 1 (* x x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * [exit]simplify: Simplified to (pow E (- 1 (* x x))) * [misc]simplify: Simplified (2 2) to (λ (x) (/ 1 (pow E (- 1 (* x x))))) * * * * [misc]progress: [ 5 / 27 ] simplifiying candidate # * [enter]simplify: Simplifying (pow E (- 1 (* x x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * [exit]simplify: Simplified to (pow E (- 1 (* x x))) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (pow E 0) (pow E (- 1 (* x x))))) * * * * [misc]progress: [ 6 / 27 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (- 1 (* x x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to (cbrt (- (* x x) 1)) * [misc]simplify: Simplified (2 2) to (λ (x) (pow (pow E (* (cbrt (- (- 1 (* x x)))) (cbrt (- (- 1 (* x x)))))) (cbrt (- (* x x) 1)))) * * * * [misc]progress: [ 7 / 27 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (- 1 (* x x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to (sqrt (- (* x x) 1)) * [misc]simplify: Simplified (2 2) to (λ (x) (pow (pow E (sqrt (- (- 1 (* x x))))) (sqrt (- (* x x) 1)))) * * * * [misc]progress: [ 8 / 27 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- 1 (* x x))) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (- (* x x) 1) * [misc]simplify: Simplified (2 2) to (λ (x) (pow (pow E 1) (- (* x x) 1))) * * * * [misc]progress: [ 9 / 27 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1 (* x x)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * * [misc]simplify: iters left: 1 (14 enodes) * [exit]simplify: Simplified to (- 1 (* x x)) * [misc]simplify: Simplified (2 2) to (λ (x) (pow (pow E -1) (- 1 (* x x)))) * * * * [misc]progress: [ 10 / 27 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- 1 (* x x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * [exit]simplify: Simplified to (cbrt (- 1 (* x x))) * [misc]simplify: Simplified (2 2) to (λ (x) (pow (pow E (- (* (cbrt (- 1 (* x x))) (cbrt (- 1 (* x x)))))) (cbrt (- 1 (* x x))))) * * * * [misc]progress: [ 11 / 27 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- 1 (* x x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * [exit]simplify: Simplified to (sqrt (- 1 (* x x))) * [misc]simplify: Simplified (2 2) to (λ (x) (pow (pow E (- (sqrt (- 1 (* x x))))) (sqrt (- 1 (* x x))))) * * * * [misc]progress: [ 12 / 27 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1 (* x x)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * * [misc]simplify: iters left: 1 (14 enodes) * [exit]simplify: Simplified to (- 1 (* x x)) * [misc]simplify: Simplified (2 2) to (λ (x) (pow (pow E (- 1)) (- 1 (* x x)))) * * * * [misc]progress: [ 13 / 27 ] simplifiying candidate # * [enter]simplify: Simplifying (- (cbrt (- 1 (* x x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (- (cbrt (- 1 (* x x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (pow (pow E (* (cbrt (- 1 (* x x))) (cbrt (- 1 (* x x))))) (- (cbrt (- 1 (* x x)))))) * * * * [misc]progress: [ 14 / 27 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqrt (- 1 (* x x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (- (sqrt (- 1 (* x x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (pow (pow E (sqrt (- 1 (* x x)))) (- (sqrt (- 1 (* x x)))))) * * * * [misc]progress: [ 15 / 27 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- 1 (* x x))) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (- (* x x) 1) * [misc]simplify: Simplified (2 2) to (λ (x) (pow (pow E 1) (- (* x x) 1))) * * * * [misc]progress: [ 16 / 27 ] simplifiying candidate # * [enter]simplify: Simplifying (pow E (- (- (* x x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (pow E (* x x)) * [misc]simplify: Simplified (2 2) to (λ (x) (* (pow E (- 1)) (pow E (* x x)))) * * * * [misc]progress: [ 17 / 27 ] simplifiying candidate # * [enter]simplify: Simplifying (pow E (- (- (* x x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (pow E (* x x)) * [misc]simplify: Simplified (2 2) to (λ (x) (* (pow E (- 1)) (pow E (* x x)))) * * * * [misc]progress: [ 18 / 27 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 27 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 27 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 27 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 27 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 27 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 27 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 27 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (exp -1) (+ (* (pow x 2) (exp -1)) (* 1/2 (* (pow x 4) (exp -1))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (196 enodes) * [exit]simplify: Simplified to (fma (fma 1/2 (pow x 4) (* x x)) (exp -1) (exp -1)) * [misc]simplify: Simplified (2) to (λ (x) (fma (fma 1/2 (pow x 4) (* x x)) (exp -1) (exp -1))) * * * * [misc]progress: [ 26 / 27 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (- (pow x 2) 1)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (/ (exp (* x x)) E) * [misc]simplify: Simplified (2) to (λ (x) (/ (exp (* x x)) E)) * * * * [misc]progress: [ 27 / 27 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (- (pow x 2) 1)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (/ (exp (* x x)) E) * [misc]simplify: Simplified (2) to (λ (x) (/ (exp (* x x)) E)) * * * [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 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (sqrt (- (* x x) 1)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (* x x) 1)) in x * [misc]taylor: Taking taylor expansion of (- (* x x) 1) in x * [misc]taylor: Taking taylor expansion of (* x x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (* x x) 1)) in x * [misc]taylor: Taking taylor expansion of (- (* x x) 1) in x * [misc]taylor: Taking taylor expansion of (* x x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (/ 1/2 (sqrt -1)) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ 1/2 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -1/8 (pow (sqrt -1) 3)) * [misc]backup-simplify: Simplify (/ -1/8 (pow (sqrt -1) 3)) into (/ -1/8 (pow (sqrt -1) 3)) * [misc]backup-simplify: Simplify (+ (* (/ -1/8 (pow (sqrt -1) 3)) (pow x 4)) (+ (* (/ 1/2 (sqrt -1)) (pow x 2)) (sqrt -1))) into (- (+ (* 1/2 (/ (pow x 2) (sqrt -1))) (sqrt -1)) (* 1/8 (/ (pow x 4) (pow (sqrt -1) 3)))) * [misc]approximate: Taking taylor expansion of (sqrt (- (* (/ 1 x) (/ 1 x)) 1)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (* (/ 1 x) (/ 1 x)) 1)) in x * [misc]taylor: Taking taylor expansion of (- (* (/ 1 x) (/ 1 x)) 1) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (* (/ 1 x) (/ 1 x)) 1)) in x * [misc]taylor: Taking taylor expansion of (- (* (/ 1 x) (/ 1 x)) 1) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 1)) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 -1/2)))) (* 2 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow -1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 * [misc]backup-simplify: Simplify -1/8 into -1/8 * [misc]backup-simplify: Simplify (+ (* -1/8 (pow (/ 1 x) 3)) (+ (* -1/2 (/ 1 x)) (* 1 (/ 1 (/ 1 x))))) into (- x (+ (* 1/8 (/ 1 (pow x 3))) (* 1/2 (/ 1 x)))) * [misc]approximate: Taking taylor expansion of (sqrt (- (* (/ 1 (- x)) (/ 1 (- x))) 1)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (* (/ 1 (- x)) (/ 1 (- x))) 1)) in x * [misc]taylor: Taking taylor expansion of (- (* (/ 1 (- x)) (/ 1 (- x))) 1) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (* (/ 1 (- x)) (/ 1 (- x))) 1)) in x * [misc]taylor: Taking taylor expansion of (- (* (/ 1 (- x)) (/ 1 (- x))) 1) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 1)) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 -1/2)))) (* 2 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow -1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 * [misc]backup-simplify: Simplify -1/8 into -1/8 * [misc]backup-simplify: Simplify (+ (* -1/8 (pow (/ 1 (- x)) 3)) (+ (* -1/2 (/ 1 (- x))) (* 1 (/ 1 (/ 1 (- x)))))) into (- (+ (* 1/8 (/ 1 (pow x 3))) (* 1/2 (/ 1 x))) x) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (sqrt (- (- 1 (* x x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (- 1 (* x x)))) in x * [misc]taylor: Taking taylor expansion of (- (- 1 (* x x))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* x x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* x x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (- 1 (* x x)))) in x * [misc]taylor: Taking taylor expansion of (- (- 1 (* x x))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* x x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* x x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (/ 1/2 (sqrt -1)) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ 1/2 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -1/8 (pow (sqrt -1) 3)) * [misc]backup-simplify: Simplify (/ -1/8 (pow (sqrt -1) 3)) into (/ -1/8 (pow (sqrt -1) 3)) * [misc]backup-simplify: Simplify (+ (* (/ -1/8 (pow (sqrt -1) 3)) (pow x 4)) (+ (* (/ 1/2 (sqrt -1)) (pow x 2)) (sqrt -1))) into (- (+ (* 1/2 (/ (pow x 2) (sqrt -1))) (sqrt -1)) (* 1/8 (/ (pow x 4) (pow (sqrt -1) 3)))) * [misc]approximate: Taking taylor expansion of (sqrt (- (- 1 (* (/ 1 x) (/ 1 x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (- 1 (* (/ 1 x) (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (- (- 1 (* (/ 1 x) (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 x) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (- 1 (* (/ 1 x) (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (- (- 1 (* (/ 1 x) (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 x) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 1)) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 -1/2)))) (* 2 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow -1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 * [misc]backup-simplify: Simplify -1/8 into -1/8 * [misc]backup-simplify: Simplify (+ (* -1/8 (pow (/ 1 x) 3)) (+ (* -1/2 (/ 1 x)) (* 1 (/ 1 (/ 1 x))))) into (- x (+ (* 1/8 (/ 1 (pow x 3))) (* 1/2 (/ 1 x)))) * [misc]approximate: Taking taylor expansion of (sqrt (- (- 1 (* (/ 1 (- x)) (/ 1 (- x)))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (- 1 (* (/ 1 (- x)) (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (- (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 (- x)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (- 1 (* (/ 1 (- x)) (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (- (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 (- x)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 1)) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 -1/2)))) (* 2 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow -1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 * [misc]backup-simplify: Simplify -1/8 into -1/8 * [misc]backup-simplify: Simplify (+ (* -1/8 (pow (/ 1 (- x)) 3)) (+ (* -1/2 (/ 1 (- x))) (* 1 (/ 1 (/ 1 (- x)))))) into (- (+ (* 1/8 (/ 1 (pow x 3))) (* 1/2 (/ 1 x))) x) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (exp (sqrt (- (* x x) 1))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (exp (sqrt (- (* x x) 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt (- (* x x) 1)) in x * [misc]taylor: Taking taylor expansion of (- (* x x) 1) in x * [misc]taylor: Taking taylor expansion of (* x x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify (exp (sqrt -1)) into (exp (sqrt -1)) * [misc]taylor: Taking taylor expansion of (exp (sqrt (- (* x x) 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt (- (* x x) 1)) in x * [misc]taylor: Taking taylor expansion of (- (* x x) 1) in x * [misc]taylor: Taking taylor expansion of (* x x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify (exp (sqrt -1)) into (exp (sqrt -1)) * [misc]backup-simplify: Simplify (exp (sqrt -1)) into (exp (sqrt -1)) * [misc]backup-simplify: Simplify (* (exp (sqrt -1)) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (* (exp (sqrt -1)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (/ 1/2 (sqrt -1)) 1) 1)))) into (* 1/2 (/ (exp (sqrt -1)) (sqrt -1))) * [misc]backup-simplify: Simplify (* 1/2 (/ (exp (sqrt -1)) (sqrt -1))) into (* 1/2 (/ (exp (sqrt -1)) (sqrt -1))) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify (* (exp (sqrt -1)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (/ 1/2 (sqrt -1)) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ 1/2 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -1/8 (pow (sqrt -1) 3)) * [misc]backup-simplify: Simplify (* (exp (sqrt -1)) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow (/ 1/2 (sqrt -1)) 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (/ 1/2 (sqrt -1)) 2) 2)) (* (/ (pow (/ -1/8 (pow (sqrt -1) 3)) 1) 1)))) into (* (exp (sqrt -1)) (- (* 1/8 (/ 1 (pow (sqrt -1) 2))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) * [misc]backup-simplify: Simplify (* (exp (sqrt -1)) (- (* 1/8 (/ 1 (pow (sqrt -1) 2))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) into (* (exp (sqrt -1)) (- (* 1/8 (/ 1 (pow (sqrt -1) 2))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) * [misc]backup-simplify: Simplify (+ (* (* (exp (sqrt -1)) (- (* 1/8 (/ 1 (pow (sqrt -1) 2))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (pow x 4)) (+ (* (* 1/2 (/ (exp (sqrt -1)) (sqrt -1))) (pow x 2)) (exp (sqrt -1)))) into (- (+ (exp (sqrt -1)) (+ (* 1/2 (/ (* (exp (sqrt -1)) (pow x 2)) (sqrt -1))) (* 1/8 (/ (* (exp (sqrt -1)) (pow x 4)) (pow (sqrt -1) 2))))) (* 1/8 (/ (* (exp (sqrt -1)) (pow x 4)) (pow (sqrt -1) 3)))) * [misc]approximate: Taking taylor expansion of (exp (sqrt (- (* (/ 1 x) (/ 1 x)) 1))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (exp (sqrt (- (* (/ 1 x) (/ 1 x)) 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt (- (* (/ 1 x) (/ 1 x)) 1)) in x * [misc]taylor: Taking taylor expansion of (- (* (/ 1 x) (/ 1 x)) 1) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify (exp (sqrt (- (* (/ 1 x) (/ 1 x)) 1))) into (exp (sqrt (- (/ 1 (pow x 2)) 1))) * [misc]taylor: Taking taylor expansion of (exp (sqrt (- (* (/ 1 x) (/ 1 x)) 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt (- (* (/ 1 x) (/ 1 x)) 1)) in x * [misc]taylor: Taking taylor expansion of (- (* (/ 1 x) (/ 1 x)) 1) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify (exp (sqrt (- (* (/ 1 x) (/ 1 x)) 1))) into (exp (sqrt (- (/ 1 (pow x 2)) 1))) * [misc]backup-simplify: Simplify (exp (sqrt (- (/ 1 (pow x 2)) 1))) into (exp (sqrt (- (/ 1 (pow x 2)) 1))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (sqrt (- (/ 1 (pow (/ 1 x) 2)) 1))) into (exp (sqrt (- (pow x 2) 1))) * [misc]approximate: Taking taylor expansion of (exp (sqrt (- (* (/ 1 (- x)) (/ 1 (- x))) 1))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (exp (sqrt (- (* (/ 1 (- x)) (/ 1 (- x))) 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt (- (* (/ 1 (- x)) (/ 1 (- x))) 1)) in x * [misc]taylor: Taking taylor expansion of (- (* (/ 1 (- x)) (/ 1 (- x))) 1) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify (exp (sqrt (- (* (/ 1 (- x)) (/ 1 (- x))) 1))) into (exp (sqrt (- (/ 1 (pow x 2)) 1))) * [misc]taylor: Taking taylor expansion of (exp (sqrt (- (* (/ 1 (- x)) (/ 1 (- x))) 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt (- (* (/ 1 (- x)) (/ 1 (- x))) 1)) in x * [misc]taylor: Taking taylor expansion of (- (* (/ 1 (- x)) (/ 1 (- x))) 1) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify (exp (sqrt (- (* (/ 1 (- x)) (/ 1 (- x))) 1))) into (exp (sqrt (- (/ 1 (pow x 2)) 1))) * [misc]backup-simplify: Simplify (exp (sqrt (- (/ 1 (pow x 2)) 1))) into (exp (sqrt (- (/ 1 (pow x 2)) 1))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (sqrt (- (/ 1 (pow (/ 1 (- x)) 2)) 1))) into (exp (sqrt (- (pow x 2) 1))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (pow (exp (sqrt (- (* x x) 1))) (sqrt (- (- 1 (* x x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (pow (exp (sqrt (- (* x x) 1))) (sqrt (- (- 1 (* x x))))) in x * [misc]taylor: Taking taylor expansion of (exp (* (sqrt (- (- 1 (* x x)))) (log (exp (sqrt (- (* x x) 1)))))) in x * [misc]taylor: Taking taylor expansion of (* (sqrt (- (- 1 (* x x)))) (log (exp (sqrt (- (* x x) 1))))) in x * [misc]taylor: Taking taylor expansion of (sqrt (- (- 1 (* x x)))) in x * [misc]taylor: Taking taylor expansion of (- (- 1 (* x x))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* x x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* x x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [misc]taylor: Taking taylor expansion of (log (exp (sqrt (- (* x x) 1)))) in x * [misc]taylor: Taking taylor expansion of (exp (sqrt (- (* x x) 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt (- (* x x) 1)) in x * [misc]taylor: Taking taylor expansion of (- (* x x) 1) in x * [misc]taylor: Taking taylor expansion of (* x x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify (exp (sqrt -1)) into (exp (sqrt -1)) * [misc]backup-simplify: Simplify (log (exp (sqrt -1))) into (sqrt -1) * [misc]backup-simplify: Simplify (* (sqrt -1) (sqrt -1)) into -1 * [misc]backup-simplify: Simplify (exp -1) into (exp -1) * [misc]taylor: Taking taylor expansion of (pow (exp (sqrt (- (* x x) 1))) (sqrt (- (- 1 (* x x))))) in x * [misc]taylor: Taking taylor expansion of (exp (* (sqrt (- (- 1 (* x x)))) (log (exp (sqrt (- (* x x) 1)))))) in x * [misc]taylor: Taking taylor expansion of (* (sqrt (- (- 1 (* x x)))) (log (exp (sqrt (- (* x x) 1))))) in x * [misc]taylor: Taking taylor expansion of (sqrt (- (- 1 (* x x)))) in x * [misc]taylor: Taking taylor expansion of (- (- 1 (* x x))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* x x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* x x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [misc]taylor: Taking taylor expansion of (log (exp (sqrt (- (* x x) 1)))) in x * [misc]taylor: Taking taylor expansion of (exp (sqrt (- (* x x) 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt (- (* x x) 1)) in x * [misc]taylor: Taking taylor expansion of (- (* x x) 1) in x * [misc]taylor: Taking taylor expansion of (* x x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify (exp (sqrt -1)) into (exp (sqrt -1)) * [misc]backup-simplify: Simplify (log (exp (sqrt -1))) into (sqrt -1) * [misc]backup-simplify: Simplify (* (sqrt -1) (sqrt -1)) into -1 * [misc]backup-simplify: Simplify (exp -1) into (exp -1) * [misc]backup-simplify: Simplify (exp -1) into (exp -1) * [misc]backup-simplify: Simplify (* (exp (sqrt -1)) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (sqrt -1)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt -1) 0) (* 0 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (* (exp (sqrt -1)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (/ 1/2 (sqrt -1)) 1) 1)))) into (* 1/2 (/ (exp (sqrt -1)) (sqrt -1))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (sqrt -1)) 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/2 (/ (exp (sqrt -1)) (sqrt -1)))) 1)) (pow (exp (sqrt -1)) 1)))) 2) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (+ (* (sqrt -1) (/ 1/2 (sqrt -1))) (+ (* 0 0) (* (/ 1/2 (sqrt -1)) (sqrt -1)))) into 1 * [misc]backup-simplify: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 1 1) 1)))) into (exp -1) * [misc]backup-simplify: Simplify (exp -1) into (exp -1) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify (* (exp (sqrt -1)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (/ 1/2 (sqrt -1)) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (exp (sqrt -1)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (* 1/2 (/ (exp (sqrt -1)) (sqrt -1)))) 1)) (pow (exp (sqrt -1)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (exp (sqrt -1)) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt -1) 0) (+ (* 0 (/ 1/2 (sqrt -1))) (+ (* (/ 1/2 (sqrt -1)) 0) (* 0 (sqrt -1))))) into 0 * [misc]backup-simplify: Simplify (* (exp -1) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 1 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ 1/2 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -1/8 (pow (sqrt -1) 3)) * [misc]backup-simplify: Simplify (* (exp (sqrt -1)) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow (/ 1/2 (sqrt -1)) 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (/ 1/2 (sqrt -1)) 2) 2)) (* (/ (pow (/ -1/8 (pow (sqrt -1) 3)) 1) 1)))) into (* (exp (sqrt -1)) (- (* 1/8 (/ 1 (pow (sqrt -1) 2))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (exp (sqrt -1)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (* 1/2 (/ (exp (sqrt -1)) (sqrt -1)))) 1)) (pow (exp (sqrt -1)) 3))) (* -3 (/ (* 1 (pow (* 2 (* 1/2 (/ (exp (sqrt -1)) (sqrt -1)))) 2)) (pow (exp (sqrt -1)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (exp (sqrt -1)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (* (exp (sqrt -1)) (- (* 1/8 (/ 1 (pow (sqrt -1) 2))) (* 1/8 (/ 1 (pow (sqrt -1) 3)))))) 1)) (pow (exp (sqrt -1)) 1)))) 24) into (/ -1/8 (pow (sqrt -1) 3)) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ 1/2 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -1/8 (pow (sqrt -1) 3)) * [misc]backup-simplify: Simplify (+ (* (sqrt -1) (/ -1/8 (pow (sqrt -1) 3))) (+ (* 0 0) (+ (* (/ 1/2 (sqrt -1)) (/ 1/2 (sqrt -1))) (+ (* 0 0) (* (/ -1/8 (pow (sqrt -1) 3)) (sqrt -1)))))) into (- (+ (* 1/4 (/ 1 (pow (sqrt -1) 2))) 1/4)) * [misc]backup-simplify: Simplify (* (exp -1) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 1 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 1 2) 2)) (* (/ (pow (- (+ (* 1/4 (/ 1 (pow (sqrt -1) 2))) 1/4)) 1) 1)))) into (* (exp -1) (- 1/4 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) * [misc]backup-simplify: Simplify (* (exp -1) (- 1/4 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) into (* (exp -1) (- 1/4 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) * [misc]backup-simplify: Simplify (+ (* (* (exp -1) (- 1/4 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (pow x 4)) (+ (* (exp -1) (pow x 2)) (exp -1))) into (- (+ (exp -1) (+ (* (pow x 2) (exp -1)) (* 1/4 (* (pow x 4) (exp -1))))) (* 1/4 (/ (* (pow x 4) (exp -1)) (pow (sqrt -1) 2)))) * [misc]approximate: Taking taylor expansion of (pow (exp (sqrt (- (* (/ 1 x) (/ 1 x)) 1))) (sqrt (- (- 1 (* (/ 1 x) (/ 1 x)))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (pow (exp (sqrt (- (* (/ 1 x) (/ 1 x)) 1))) (sqrt (- (- 1 (* (/ 1 x) (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of (exp (* (sqrt (- (- 1 (* (/ 1 x) (/ 1 x))))) (log (exp (sqrt (- (* (/ 1 x) (/ 1 x)) 1)))))) in x * [misc]taylor: Taking taylor expansion of (* (sqrt (- (- 1 (* (/ 1 x) (/ 1 x))))) (log (exp (sqrt (- (* (/ 1 x) (/ 1 x)) 1))))) in x * [misc]taylor: Taking taylor expansion of (sqrt (- (- 1 (* (/ 1 x) (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (- (- 1 (* (/ 1 x) (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 x) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (log (exp (sqrt (- (* (/ 1 x) (/ 1 x)) 1)))) in x * [misc]taylor: Taking taylor expansion of (exp (sqrt (- (* (/ 1 x) (/ 1 x)) 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt (- (* (/ 1 x) (/ 1 x)) 1)) in x * [misc]taylor: Taking taylor expansion of (- (* (/ 1 x) (/ 1 x)) 1) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify (exp (sqrt (- (* (/ 1 x) (/ 1 x)) 1))) into (exp (sqrt (- (/ 1 (pow x 2)) 1))) * [misc]backup-simplify: Simplify (log (exp (sqrt (- (/ 1 (pow x 2)) 1)))) into (sqrt (- (/ 1 (pow x 2)) 1)) * [misc]backup-simplify: Simplify (* 1 (sqrt (- (/ 1 (pow x 2)) 1))) into (sqrt (- (/ 1 (pow x 2)) 1)) * [misc]backup-simplify: Simplify (exp (* (sqrt (- (- 1 (* (/ 1 x) (/ 1 x))))) (log (exp (sqrt (- (* (/ 1 x) (/ 1 x)) 1)))))) into (exp (- (/ 1 (pow x 2)) 1)) * [misc]taylor: Taking taylor expansion of (pow (exp (sqrt (- (* (/ 1 x) (/ 1 x)) 1))) (sqrt (- (- 1 (* (/ 1 x) (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of (exp (* (sqrt (- (- 1 (* (/ 1 x) (/ 1 x))))) (log (exp (sqrt (- (* (/ 1 x) (/ 1 x)) 1)))))) in x * [misc]taylor: Taking taylor expansion of (* (sqrt (- (- 1 (* (/ 1 x) (/ 1 x))))) (log (exp (sqrt (- (* (/ 1 x) (/ 1 x)) 1))))) in x * [misc]taylor: Taking taylor expansion of (sqrt (- (- 1 (* (/ 1 x) (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (- (- 1 (* (/ 1 x) (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 x) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (log (exp (sqrt (- (* (/ 1 x) (/ 1 x)) 1)))) in x * [misc]taylor: Taking taylor expansion of (exp (sqrt (- (* (/ 1 x) (/ 1 x)) 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt (- (* (/ 1 x) (/ 1 x)) 1)) in x * [misc]taylor: Taking taylor expansion of (- (* (/ 1 x) (/ 1 x)) 1) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify (exp (sqrt (- (* (/ 1 x) (/ 1 x)) 1))) into (exp (sqrt (- (/ 1 (pow x 2)) 1))) * [misc]backup-simplify: Simplify (log (exp (sqrt (- (/ 1 (pow x 2)) 1)))) into (sqrt (- (/ 1 (pow x 2)) 1)) * [misc]backup-simplify: Simplify (* 1 (sqrt (- (/ 1 (pow x 2)) 1))) into (sqrt (- (/ 1 (pow x 2)) 1)) * [misc]backup-simplify: Simplify (exp (* (sqrt (- (- 1 (* (/ 1 x) (/ 1 x))))) (log (exp (sqrt (- (* (/ 1 x) (/ 1 x)) 1)))))) into (exp (- (/ 1 (pow x 2)) 1)) * [misc]backup-simplify: Simplify (exp (- (/ 1 (pow x 2)) 1)) into (exp (- (/ 1 (pow x 2)) 1)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (- (/ 1 (pow (/ 1 x) 2)) 1)) into (exp (- (pow x 2) 1)) * [misc]approximate: Taking taylor expansion of (pow (exp (sqrt (- (* (/ 1 (- x)) (/ 1 (- x))) 1))) (sqrt (- (- 1 (* (/ 1 (- x)) (/ 1 (- x))))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (pow (exp (sqrt (- (* (/ 1 (- x)) (/ 1 (- x))) 1))) (sqrt (- (- 1 (* (/ 1 (- x)) (/ 1 (- x))))))) in x * [misc]taylor: Taking taylor expansion of (exp (* (sqrt (- (- 1 (* (/ 1 (- x)) (/ 1 (- x)))))) (log (exp (sqrt (- (* (/ 1 (- x)) (/ 1 (- x))) 1)))))) in x * [misc]taylor: Taking taylor expansion of (* (sqrt (- (- 1 (* (/ 1 (- x)) (/ 1 (- x)))))) (log (exp (sqrt (- (* (/ 1 (- x)) (/ 1 (- x))) 1))))) in x * [misc]taylor: Taking taylor expansion of (sqrt (- (- 1 (* (/ 1 (- x)) (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (- (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 (- x)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (log (exp (sqrt (- (* (/ 1 (- x)) (/ 1 (- x))) 1)))) in x * [misc]taylor: Taking taylor expansion of (exp (sqrt (- (* (/ 1 (- x)) (/ 1 (- x))) 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt (- (* (/ 1 (- x)) (/ 1 (- x))) 1)) in x * [misc]taylor: Taking taylor expansion of (- (* (/ 1 (- x)) (/ 1 (- x))) 1) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify (exp (sqrt (- (* (/ 1 (- x)) (/ 1 (- x))) 1))) into (exp (sqrt (- (/ 1 (pow x 2)) 1))) * [misc]backup-simplify: Simplify (log (exp (sqrt (- (/ 1 (pow x 2)) 1)))) into (sqrt (- (/ 1 (pow x 2)) 1)) * [misc]backup-simplify: Simplify (* 1 (sqrt (- (/ 1 (pow x 2)) 1))) into (sqrt (- (/ 1 (pow x 2)) 1)) * [misc]backup-simplify: Simplify (exp (* (sqrt (- (- 1 (* (/ 1 (- x)) (/ 1 (- x)))))) (log (exp (sqrt (- (* (/ 1 (- x)) (/ 1 (- x))) 1)))))) into (exp (- (/ 1 (pow x 2)) 1)) * [misc]taylor: Taking taylor expansion of (pow (exp (sqrt (- (* (/ 1 (- x)) (/ 1 (- x))) 1))) (sqrt (- (- 1 (* (/ 1 (- x)) (/ 1 (- x))))))) in x * [misc]taylor: Taking taylor expansion of (exp (* (sqrt (- (- 1 (* (/ 1 (- x)) (/ 1 (- x)))))) (log (exp (sqrt (- (* (/ 1 (- x)) (/ 1 (- x))) 1)))))) in x * [misc]taylor: Taking taylor expansion of (* (sqrt (- (- 1 (* (/ 1 (- x)) (/ 1 (- x)))))) (log (exp (sqrt (- (* (/ 1 (- x)) (/ 1 (- x))) 1))))) in x * [misc]taylor: Taking taylor expansion of (sqrt (- (- 1 (* (/ 1 (- x)) (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (- (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 (- x)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (log (exp (sqrt (- (* (/ 1 (- x)) (/ 1 (- x))) 1)))) in x * [misc]taylor: Taking taylor expansion of (exp (sqrt (- (* (/ 1 (- x)) (/ 1 (- x))) 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt (- (* (/ 1 (- x)) (/ 1 (- x))) 1)) in x * [misc]taylor: Taking taylor expansion of (- (* (/ 1 (- x)) (/ 1 (- x))) 1) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify (exp (sqrt (- (* (/ 1 (- x)) (/ 1 (- x))) 1))) into (exp (sqrt (- (/ 1 (pow x 2)) 1))) * [misc]backup-simplify: Simplify (log (exp (sqrt (- (/ 1 (pow x 2)) 1)))) into (sqrt (- (/ 1 (pow x 2)) 1)) * [misc]backup-simplify: Simplify (* 1 (sqrt (- (/ 1 (pow x 2)) 1))) into (sqrt (- (/ 1 (pow x 2)) 1)) * [misc]backup-simplify: Simplify (exp (* (sqrt (- (- 1 (* (/ 1 (- x)) (/ 1 (- x)))))) (log (exp (sqrt (- (* (/ 1 (- x)) (/ 1 (- x))) 1)))))) into (exp (- (/ 1 (pow x 2)) 1)) * [misc]backup-simplify: Simplify (exp (- (/ 1 (pow x 2)) 1)) into (exp (- (/ 1 (pow x 2)) 1)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (- (/ 1 (pow (/ 1 (- x)) 2)) 1)) into (exp (- (pow x 2) 1)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (- (* x x) 1)) (cbrt (- (* x x) 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (131 enodes) * [exit]simplify: Simplified to (fabs (cbrt (- (* x x) 1))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (pow (exp (* (fabs (cbrt (- (* x x) 1))) (sqrt (cbrt (- (* x x) 1))))) (sqrt (- (- 1 (* x x)))))) * * * * [misc]progress: [ 10 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (- (* x x) 1))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (125 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (- (* x x) 1))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (pow (exp (* (sqrt (sqrt (- (* x x) 1))) (sqrt (sqrt (- (* x x) 1))))) (sqrt (- (- 1 (* x x)))))) * * * * [misc]progress: [ 11 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (pow (exp (* (sqrt 1) (sqrt (- (* x x) 1)))) (sqrt (- (- 1 (* x x)))))) * * * * [misc]progress: [ 12 / 104 ] 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) to (λ (x) (pow (exp (* (sqrt (+ 1 x)) (sqrt (- x 1)))) (sqrt (- (- 1 (* x x)))))) * * * * [misc]progress: [ 13 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (pow (* x x) 3) (pow 1 3))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (91 enodes) * * [misc]simplify: iters left: 1 (146 enodes) * [exit]simplify: Simplified to (sqrt (fma (pow x 3) (pow x 3) (- 1))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (pow (exp (/ (sqrt (fma (pow x 3) (pow x 3) (- 1))) (sqrt (+ (* (* x x) (* x x)) (+ (* 1 1) (* (* x x) 1)))))) (sqrt (- (- 1 (* x x)))))) * * * * [misc]progress: [ 14 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (* (* x x) (* x x)) (* 1 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (180 enodes) * [exit]simplify: Simplified to (sqrt (fma (* x x) (* x x) (- 1))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (pow (exp (/ (sqrt (fma (* x x) (* x x) (- 1))) (sqrt (+ (* x x) 1)))) (sqrt (- (- 1 (* x x)))))) * * * * [misc]progress: [ 15 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (* x x) 1)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (sqrt (- (* x x) 1)) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (pow (exp (fabs (sqrt (- (* x x) 1)))) (sqrt (- (- 1 (* x x)))))) * * * * [misc]progress: [ 17 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (- (- 1 (* x x)))) (cbrt (- (- 1 (* x x)))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (fabs (cbrt (- (* x x) 1))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (pow (exp (sqrt (- (* x x) 1))) (* (fabs (cbrt (- (* x x) 1))) (sqrt (cbrt (- (- 1 (* x x)))))))) * * * * [misc]progress: [ 27 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (- (- 1 (* x x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (- (* x x) 1))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (pow (exp (sqrt (- (* x x) 1))) (* (sqrt (sqrt (- (* x x) 1))) (sqrt (sqrt (- (- 1 (* x x)))))))) * * * * [misc]progress: [ 28 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [misc]simplify: Simplified (2 2 1) to (λ (x) (pow (exp (sqrt (- (* x x) 1))) (* (sqrt 1) (sqrt (- (- 1 (* x x))))))) * * * * [misc]progress: [ 29 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt -1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt -1) * [misc]simplify: Simplified (2 2 1) to (λ (x) (pow (exp (sqrt (- (* x x) 1))) (* (sqrt -1) (sqrt (- 1 (* x x)))))) * * * * [misc]progress: [ 30 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (* (cbrt (- 1 (* x x))) (cbrt (- 1 (* x x)))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (- 1 (* x x))) (- (cbrt (- 1 (* x x)))))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (pow (exp (sqrt (- (* x x) 1))) (* (sqrt (* (cbrt (- 1 (* x x))) (- (cbrt (- 1 (* x x)))))) (sqrt (cbrt (- 1 (* x x))))))) * * * * [misc]progress: [ 31 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (sqrt (- 1 (* x x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (sqrt (- (sqrt (- 1 (* x x))))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (pow (exp (sqrt (- (* x x) 1))) (* (sqrt (- (sqrt (- 1 (* x x))))) (sqrt (sqrt (- 1 (* x x))))))) * * * * [misc]progress: [ 32 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (sqrt (- 1)) * [misc]simplify: Simplified (2 2 1) to (λ (x) (pow (exp (sqrt (- (* x x) 1))) (* (sqrt (- 1)) (sqrt (- 1 (* x x)))))) * * * * [misc]progress: [ 33 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (- 1 (* x x))) (cbrt (- 1 (* x x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (fabs (cbrt (- 1 (* x x)))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (pow (exp (sqrt (- (* x x) 1))) (* (fabs (cbrt (- 1 (* x x)))) (sqrt (- (cbrt (- 1 (* x x)))))))) * * * * [misc]progress: [ 34 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (- 1 (* x x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (- 1 (* x x)))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (pow (exp (sqrt (- (* x x) 1))) (* (sqrt (sqrt (- 1 (* x x)))) (sqrt (- (sqrt (- 1 (* x x)))))))) * * * * [misc]progress: [ 35 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [misc]simplify: Simplified (2 2 1) to (λ (x) (pow (exp (sqrt (- (* x x) 1))) (* (sqrt 1) (sqrt (- (- 1 (* x x))))))) * * * * [misc]progress: [ 36 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (- (pow 1 3) (pow (* x x) 3)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (177 enodes) * * [misc]simplify: iters left: 1 (249 enodes) * [exit]simplify: Simplified to (sqrt (fma (pow x 3) (pow x 3) (- 1))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (pow (exp (sqrt (- (* x x) 1))) (/ (sqrt (fma (pow x 3) (pow x 3) (- 1))) (sqrt (+ (* 1 1) (+ (* (* x x) (* x x)) (* 1 (* x x)))))))) * * * * [misc]progress: [ 37 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (- (* 1 1) (* (* x x) (* x x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (117 enodes) * [exit]simplify: Simplified to (sqrt (fma (* x x) (* x x) (- 1))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (pow (exp (sqrt (- (* x x) 1))) (/ (sqrt (fma (* x x) (* x x) (- 1))) (sqrt (+ 1 (* x x)))))) * * * * [misc]progress: [ 38 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (- 1 (* x x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to (sqrt (- (* x x) 1)) * [misc]simplify: Simplified (2 2 1) to (λ (x) (pow (exp (sqrt (- (* x x) 1))) (fabs (sqrt (- (* x x) 1))))) * * * * [misc]progress: [ 40 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (cbrt (sqrt (- (* x x) 1))) (cbrt (sqrt (- (* x x) 1))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (133 enodes) * [exit]simplify: Simplified to (exp (* (cbrt (sqrt (- (* x x) 1))) (cbrt (sqrt (- (* x x) 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (pow (pow (exp (* (cbrt (sqrt (- (* x x) 1))) (cbrt (sqrt (- (* x x) 1))))) (cbrt (sqrt (- (* x x) 1)))) (sqrt (- (- 1 (* x x)))))) * * * * [misc]progress: [ 45 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (* (cbrt (- (* x x) 1)) (cbrt (- (* x x) 1))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (128 enodes) * [exit]simplify: Simplified to (exp (fabs (cbrt (- (* x x) 1)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (pow (pow (exp (fabs (cbrt (- (* x x) 1)))) (sqrt (cbrt (- (* x x) 1)))) (sqrt (- (- 1 (* x x)))))) * * * * [misc]progress: [ 46 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (sqrt (- (* x x) 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (130 enodes) * [exit]simplify: Simplified to (exp (sqrt (sqrt (- (* x x) 1)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (pow (pow (exp (sqrt (sqrt (- (* x x) 1)))) (sqrt (sqrt (- (* x x) 1)))) (sqrt (- (- 1 (* x x)))))) * * * * [misc]progress: [ 47 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt 1)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (exp (sqrt 1)) * [misc]simplify: Simplified (2 1 1) to (λ (x) (pow (pow (exp (sqrt 1)) (sqrt (- (* x x) 1))) (sqrt (- (- 1 (* x x)))))) * * * * [misc]progress: [ 48 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (+ x 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (exp (sqrt (+ 1 x))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (pow (pow (exp (sqrt (+ 1 x))) (sqrt (- x 1))) (sqrt (- (- 1 (* x x)))))) * * * * [misc]progress: [ 49 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (sqrt (- (* x x) 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (130 enodes) * [exit]simplify: Simplified to (exp (sqrt (sqrt (- (* x x) 1)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (pow (pow (exp (sqrt (sqrt (- (* x x) 1)))) (sqrt (sqrt (- (* x x) 1)))) (sqrt (- (- 1 (* x x)))))) * * * * [misc]progress: [ 50 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (exp 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to E * [misc]simplify: Simplified (2 1 1) to (λ (x) (pow (pow E (sqrt (- (* x x) 1))) (sqrt (- (- 1 (* x x)))))) * * * * [misc]progress: [ 51 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (* x x) 1)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (sqrt (- (* x x) 1)) * [misc]simplify: Simplified (2 1 1) to (λ (x) (pow (exp (sqrt (- (* x x) 1))) (sqrt (- (- 1 (* x x)))))) * * * * [misc]progress: [ 52 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 57 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 58 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 59 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 60 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (- (* x x) 1)) (sqrt (- (- 1 (* x x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (94 enodes) * * [misc]simplify: iters left: 1 (161 enodes) * [exit]simplify: Simplified to (- (* x x) 1) * [misc]simplify: Simplified (2 1) to (λ (x) (exp (- (* x x) 1))) * * * * [misc]progress: [ 61 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 62 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (- (* x x) 1))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (125 enodes) * [exit]simplify: Simplified to (exp (sqrt (- (* x x) 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (pow (exp (sqrt (- (* x x) 1))) (* 1 (sqrt (- (- 1 (* x x))))))) * * * * [misc]progress: [ 63 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (cbrt (sqrt (- (* x x) 1))) (cbrt (sqrt (- (* x x) 1))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (133 enodes) * [exit]simplify: Simplified to (exp (* (cbrt (sqrt (- (* x x) 1))) (cbrt (sqrt (- (* x x) 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (pow (exp (* (cbrt (sqrt (- (* x x) 1))) (cbrt (sqrt (- (* x x) 1))))) (* (cbrt (sqrt (- (* x x) 1))) (sqrt (- (- 1 (* x x))))))) * * * * [misc]progress: [ 64 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (* (cbrt (- (* x x) 1)) (cbrt (- (* x x) 1))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (128 enodes) * [exit]simplify: Simplified to (exp (fabs (cbrt (- (* x x) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (pow (exp (fabs (cbrt (- (* x x) 1)))) (* (sqrt (cbrt (- (* x x) 1))) (sqrt (- (- 1 (* x x))))))) * * * * [misc]progress: [ 65 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (sqrt (- (* x x) 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (130 enodes) * [exit]simplify: Simplified to (exp (sqrt (sqrt (- (* x x) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (pow (exp (sqrt (sqrt (- (* x x) 1)))) (* (sqrt (sqrt (- (* x x) 1))) (sqrt (- (- 1 (* x x))))))) * * * * [misc]progress: [ 66 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt 1)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (exp (sqrt 1)) * [misc]simplify: Simplified (2 1) to (λ (x) (pow (exp (sqrt 1)) (* (sqrt (- (* x x) 1)) (sqrt (- (- 1 (* x x))))))) * * * * [misc]progress: [ 67 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (+ x 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (exp (sqrt (+ 1 x))) * [misc]simplify: Simplified (2 1) to (λ (x) (pow (exp (sqrt (+ 1 x))) (* (sqrt (- x 1)) (sqrt (- (- 1 (* x x))))))) * * * * [misc]progress: [ 68 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (sqrt (- (* x x) 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (130 enodes) * [exit]simplify: Simplified to (exp (sqrt (sqrt (- (* x x) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (pow (exp (sqrt (sqrt (- (* x x) 1)))) (* (sqrt (sqrt (- (* x x) 1))) (sqrt (- (- 1 (* x x))))))) * * * * [misc]progress: [ 69 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (exp 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to E * [misc]simplify: Simplified (2 1) to (λ (x) (pow E (* (sqrt (- (* x x) 1)) (sqrt (- (- 1 (* x x))))))) * * * * [misc]progress: [ 70 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (- (- 1 (* x x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (- (* x x) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (pow (pow (exp (sqrt (- (* x x) 1))) (* (cbrt (sqrt (- (- 1 (* x x))))) (cbrt (sqrt (- (- 1 (* x x))))))) (cbrt (sqrt (- (* x x) 1))))) * * * * [misc]progress: [ 71 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (- (- 1 (* x x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (- (* x x) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (pow (pow (exp (sqrt (- (* x x) 1))) (sqrt (* (cbrt (- (- 1 (* x x)))) (cbrt (- (- 1 (* x x))))))) (sqrt (cbrt (- (* x x) 1))))) * * * * [misc]progress: [ 72 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (- (- 1 (* x x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (- (* x x) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (pow (pow (exp (sqrt (- (* x x) 1))) (sqrt (sqrt (- (- 1 (* x x)))))) (sqrt (sqrt (- (* x x) 1))))) * * * * [misc]progress: [ 73 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (- 1 (* x x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to (sqrt (- (* x x) 1)) * [misc]simplify: Simplified (2 2) to (λ (x) (pow (pow (exp (sqrt (- (* x x) 1))) (sqrt 1)) (sqrt (- (* x x) 1)))) * * * * [misc]progress: [ 74 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- 1 (* x x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * [exit]simplify: Simplified to (sqrt (- 1 (* x x))) * [misc]simplify: Simplified (2 2) to (λ (x) (pow (pow (exp (sqrt (- (* x x) 1))) (sqrt -1)) (sqrt (- 1 (* x x))))) * * * * [misc]progress: [ 75 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (- 1 (* x x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (- 1 (* x x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (pow (pow (exp (sqrt (- (* x x) 1))) (sqrt (- (* (cbrt (- 1 (* x x))) (cbrt (- 1 (* x x))))))) (sqrt (cbrt (- 1 (* x x)))))) * * * * [misc]progress: [ 76 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (- 1 (* x x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (- 1 (* x x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (pow (pow (exp (sqrt (- (* x x) 1))) (sqrt (- (sqrt (- 1 (* x x)))))) (sqrt (sqrt (- 1 (* x x)))))) * * * * [misc]progress: [ 77 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- 1 (* x x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * [exit]simplify: Simplified to (sqrt (- 1 (* x x))) * [misc]simplify: Simplified (2 2) to (λ (x) (pow (pow (exp (sqrt (- (* x x) 1))) (sqrt (- 1))) (sqrt (- 1 (* x x))))) * * * * [misc]progress: [ 78 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (cbrt (- 1 (* x x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (sqrt (- (cbrt (- 1 (* x x))))) * [misc]simplify: Simplified (2 2) to (λ (x) (pow (pow (exp (sqrt (- (* x x) 1))) (sqrt (* (cbrt (- 1 (* x x))) (cbrt (- 1 (* x x)))))) (sqrt (- (cbrt (- 1 (* x x))))))) * * * * [misc]progress: [ 79 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (sqrt (- 1 (* x x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (sqrt (- (sqrt (- 1 (* x x))))) * [misc]simplify: Simplified (2 2) to (λ (x) (pow (pow (exp (sqrt (- (* x x) 1))) (sqrt (sqrt (- 1 (* x x))))) (sqrt (- (sqrt (- 1 (* x x))))))) * * * * [misc]progress: [ 80 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (- 1 (* x x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to (sqrt (- (* x x) 1)) * [misc]simplify: Simplified (2 2) to (λ (x) (pow (pow (exp (sqrt (- (* x x) 1))) (sqrt 1)) (sqrt (- (* x x) 1)))) * * * * [misc]progress: [ 81 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (- (- 1 (* x x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (- (* x x) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (pow (pow (exp (sqrt (- (* x x) 1))) (sqrt (sqrt (- (- 1 (* x x)))))) (sqrt (sqrt (- (* x x) 1))))) * * * * [misc]progress: [ 82 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (- 1 (* x x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to (sqrt (- (* x x) 1)) * [misc]simplify: Simplified (2 2) to (λ (x) (pow (pow (exp (sqrt (- (* x x) 1))) 1) (sqrt (- (* x x) 1)))) * * * * [misc]progress: [ 83 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (* (cbrt (exp (sqrt (- (* x x) 1)))) (cbrt (exp (sqrt (- (* x x) 1))))) (sqrt (- (- 1 (* x x))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (166 enodes) * [exit]simplify: Simplified to (pow (* (cbrt (exp (sqrt (- (* x x) 1)))) (cbrt (exp (sqrt (- (* x x) 1))))) (sqrt (- (* x x) 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (pow (* (cbrt (exp (sqrt (- (* x x) 1)))) (cbrt (exp (sqrt (- (* x x) 1))))) (sqrt (- (* x x) 1))) (pow (cbrt (exp (sqrt (- (* x x) 1)))) (sqrt (- (- 1 (* x x))))))) * * * * [misc]progress: [ 84 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (sqrt (exp (sqrt (- (* x x) 1)))) (sqrt (- (- 1 (* x x))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (95 enodes) * * [misc]simplify: iters left: 1 (165 enodes) * [exit]simplify: Simplified to (pow (sqrt (exp (sqrt (- (* x x) 1)))) (sqrt (- (* x x) 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (pow (sqrt (exp (sqrt (- (* x x) 1)))) (sqrt (- (* x x) 1))) (pow (sqrt (exp (sqrt (- (* x x) 1)))) (sqrt (- (- 1 (* x x))))))) * * * * [misc]progress: [ 85 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (pow 1 (sqrt (- (- 1 (* x x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (x) (* 1 (pow (exp (sqrt (- (* x x) 1))) (sqrt (- (- 1 (* x x))))))) * * * * [misc]progress: [ 86 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 87 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 88 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 89 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 90 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 91 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 92 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 93 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/2 (/ (pow x 2) (sqrt -1))) (sqrt -1)) (* 1/8 (/ (pow x 4) (pow (sqrt -1) 3)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (161 enodes) * * [misc]simplify: iters left: 2 (298 enodes) * * [misc]simplify: iters left: 1 (376 enodes) * [exit]simplify: Simplified to (- (fma (/ (* x x) (sqrt -1)) 1/2 (sqrt -1)) (* (/ 1/8 (sqrt -1)) (/ (pow x 4) -1))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (pow (exp (- (fma (/ (* x x) (sqrt -1)) 1/2 (sqrt -1)) (* (/ 1/8 (sqrt -1)) (/ (pow x 4) -1)))) (sqrt (- (- 1 (* x x)))))) * * * * [misc]progress: [ 94 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (- x (+ (* 1/8 (/ 1 (pow x 3))) (* 1/2 (/ 1 x)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (174 enodes) * * [misc]simplify: iters left: 1 (406 enodes) * [exit]simplify: Simplified to (fma (- (/ 1 x)) (fma (/ 1 x) (/ 1/8 x) 1/2) x) * [misc]simplify: Simplified (2 1 1) to (λ (x) (pow (exp (fma (- (/ 1 x)) (fma (/ 1 x) (/ 1/8 x) 1/2) x)) (sqrt (- (- 1 (* x x)))))) * * * * [misc]progress: [ 95 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/8 (/ 1 (pow x 3))) (* 1/2 (/ 1 x))) x) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (193 enodes) * [exit]simplify: Simplified to (fma (/ 1 x) (fma (/ 1/8 x) (/ 1 x) 1/2) (- x)) * [misc]simplify: Simplified (2 1 1) to (λ (x) (pow (exp (fma (/ 1 x) (fma (/ 1/8 x) (/ 1 x) 1/2) (- x))) (sqrt (- (- 1 (* x x)))))) * * * * [misc]progress: [ 96 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/2 (/ (pow x 2) (sqrt -1))) (sqrt -1)) (* 1/8 (/ (pow x 4) (pow (sqrt -1) 3)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (161 enodes) * * [misc]simplify: iters left: 2 (298 enodes) * * [misc]simplify: iters left: 1 (376 enodes) * [exit]simplify: Simplified to (- (fma (/ (* x x) (sqrt -1)) 1/2 (sqrt -1)) (* (/ 1/8 (sqrt -1)) (/ (pow x 4) -1))) * [misc]simplify: Simplified (2 2) to (λ (x) (pow (exp (sqrt (- (* x x) 1))) (- (fma (/ (* x x) (sqrt -1)) 1/2 (sqrt -1)) (* (/ 1/8 (sqrt -1)) (/ (pow x 4) -1))))) * * * * [misc]progress: [ 97 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (- x (+ (* 1/8 (/ 1 (pow x 3))) (* 1/2 (/ 1 x)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (174 enodes) * * [misc]simplify: iters left: 1 (406 enodes) * [exit]simplify: Simplified to (fma (- (/ 1 x)) (fma (/ 1 x) (/ 1/8 x) 1/2) x) * [misc]simplify: Simplified (2 2) to (λ (x) (pow (exp (sqrt (- (* x x) 1))) (fma (- (/ 1 x)) (fma (/ 1 x) (/ 1/8 x) 1/2) x))) * * * * [misc]progress: [ 98 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/8 (/ 1 (pow x 3))) (* 1/2 (/ 1 x))) x) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (193 enodes) * [exit]simplify: Simplified to (fma (/ 1 x) (fma (/ 1/8 x) (/ 1 x) 1/2) (- x)) * [misc]simplify: Simplified (2 2) to (λ (x) (pow (exp (sqrt (- (* x x) 1))) (fma (/ 1 x) (fma (/ 1/8 x) (/ 1 x) 1/2) (- x)))) * * * * [misc]progress: [ 99 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (exp (sqrt -1)) (+ (* 1/2 (/ (* (exp (sqrt -1)) (pow x 2)) (sqrt -1))) (* 1/8 (/ (* (exp (sqrt -1)) (pow x 4)) (pow (sqrt -1) 2))))) (* 1/8 (/ (* (exp (sqrt -1)) (pow x 4)) (pow (sqrt -1) 3)))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (155 enodes) * * [misc]simplify: iters left: 3 (470 enodes) * [exit]simplify: Simplified to (+ (* (* (exp (sqrt -1)) (pow x 4)) (- (/ 1/8 -1) (/ (/ 1/8 -1) (sqrt -1)))) (fma 1/2 (* (/ (* x x) (sqrt -1)) (exp (sqrt -1))) (exp (sqrt -1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (pow (+ (* (* (exp (sqrt -1)) (pow x 4)) (- (/ 1/8 -1) (/ (/ 1/8 -1) (sqrt -1)))) (fma 1/2 (* (/ (* x x) (sqrt -1)) (exp (sqrt -1))) (exp (sqrt -1)))) (sqrt (- (- 1 (* x x)))))) * * * * [misc]progress: [ 100 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (- (pow x 2) 1))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (exp (sqrt (- (* x x) 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (pow (exp (sqrt (- (* x x) 1))) (sqrt (- (- 1 (* x x)))))) * * * * [misc]progress: [ 101 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (- (pow x 2) 1))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (exp (sqrt (- (* x x) 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (pow (exp (sqrt (- (* x x) 1))) (sqrt (- (- 1 (* x x)))))) * * * * [misc]progress: [ 102 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (exp -1) (+ (* (pow x 2) (exp -1)) (* 1/4 (* (pow x 4) (exp -1))))) (* 1/4 (/ (* (pow x 4) (exp -1)) (pow (sqrt -1) 2)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (100 enodes) * * [misc]simplify: iters left: 3 (268 enodes) * [exit]simplify: Simplified to (fma (exp -1) (fma x x 1) (* (* (pow x 4) (exp -1)) (- 1/4 (/ 1/4 -1)))) * [misc]simplify: Simplified (2) to (λ (x) (fma (exp -1) (fma x x 1) (* (* (pow x 4) (exp -1)) (- 1/4 (/ 1/4 -1))))) * * * * [misc]progress: [ 103 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (- (pow x 2) 1)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (/ (exp (* x x)) E) * [misc]simplify: Simplified (2) to (λ (x) (/ (exp (* x x)) E)) * * * * [misc]progress: [ 104 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (- (pow x 2) 1)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (/ (exp (* x x)) E) * [misc]simplify: Simplified (2) to (λ (x) (/ (exp (* x x)) E)) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 4 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1 1 2 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 1 1 1 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (sqrt (- (- 1 (* x x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (- 1 (* x x)))) in x * [misc]taylor: Taking taylor expansion of (- (- 1 (* x x))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* x x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* x x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (- 1 (* x x)))) in x * [misc]taylor: Taking taylor expansion of (- (- 1 (* x x))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* x x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* x x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (/ 1/2 (sqrt -1)) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ 1/2 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -1/8 (pow (sqrt -1) 3)) * [misc]backup-simplify: Simplify (/ -1/8 (pow (sqrt -1) 3)) into (/ -1/8 (pow (sqrt -1) 3)) * [misc]backup-simplify: Simplify (+ (* (/ -1/8 (pow (sqrt -1) 3)) (pow x 4)) (+ (* (/ 1/2 (sqrt -1)) (pow x 2)) (sqrt -1))) into (- (+ (* 1/2 (/ (pow x 2) (sqrt -1))) (sqrt -1)) (* 1/8 (/ (pow x 4) (pow (sqrt -1) 3)))) * [misc]approximate: Taking taylor expansion of (sqrt (- (- 1 (* (/ 1 x) (/ 1 x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (- 1 (* (/ 1 x) (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (- (- 1 (* (/ 1 x) (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 x) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (- 1 (* (/ 1 x) (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (- (- 1 (* (/ 1 x) (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 x) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 1)) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 -1/2)))) (* 2 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow -1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 * [misc]backup-simplify: Simplify -1/8 into -1/8 * [misc]backup-simplify: Simplify (+ (* -1/8 (pow (/ 1 x) 3)) (+ (* -1/2 (/ 1 x)) (* 1 (/ 1 (/ 1 x))))) into (- x (+ (* 1/8 (/ 1 (pow x 3))) (* 1/2 (/ 1 x)))) * [misc]approximate: Taking taylor expansion of (sqrt (- (- 1 (* (/ 1 (- x)) (/ 1 (- x)))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (- 1 (* (/ 1 (- x)) (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (- (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 (- x)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (- 1 (* (/ 1 (- x)) (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (- (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 (- x)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 1)) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 -1/2)))) (* 2 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow -1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 * [misc]backup-simplify: Simplify -1/8 into -1/8 * [misc]backup-simplify: Simplify (+ (* -1/8 (pow (/ 1 (- x)) 3)) (+ (* -1/2 (/ 1 (- x))) (* 1 (/ 1 (/ 1 (- x)))))) into (- (+ (* 1/8 (/ 1 (pow x 3))) (* 1/2 (/ 1 x))) x) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 2 1) * [misc]approximate: Taking taylor expansion of (sqrt (- (* x x) 1)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (* x x) 1)) in x * [misc]taylor: Taking taylor expansion of (- (* x x) 1) in x * [misc]taylor: Taking taylor expansion of (* x x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (* x x) 1)) in x * [misc]taylor: Taking taylor expansion of (- (* x x) 1) in x * [misc]taylor: Taking taylor expansion of (* x x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (/ 1/2 (sqrt -1)) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ 1/2 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -1/8 (pow (sqrt -1) 3)) * [misc]backup-simplify: Simplify (/ -1/8 (pow (sqrt -1) 3)) into (/ -1/8 (pow (sqrt -1) 3)) * [misc]backup-simplify: Simplify (+ (* (/ -1/8 (pow (sqrt -1) 3)) (pow x 4)) (+ (* (/ 1/2 (sqrt -1)) (pow x 2)) (sqrt -1))) into (- (+ (* 1/2 (/ (pow x 2) (sqrt -1))) (sqrt -1)) (* 1/8 (/ (pow x 4) (pow (sqrt -1) 3)))) * [misc]approximate: Taking taylor expansion of (sqrt (- (* (/ 1 x) (/ 1 x)) 1)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (* (/ 1 x) (/ 1 x)) 1)) in x * [misc]taylor: Taking taylor expansion of (- (* (/ 1 x) (/ 1 x)) 1) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (* (/ 1 x) (/ 1 x)) 1)) in x * [misc]taylor: Taking taylor expansion of (- (* (/ 1 x) (/ 1 x)) 1) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 1)) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 -1/2)))) (* 2 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow -1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 * [misc]backup-simplify: Simplify -1/8 into -1/8 * [misc]backup-simplify: Simplify (+ (* -1/8 (pow (/ 1 x) 3)) (+ (* -1/2 (/ 1 x)) (* 1 (/ 1 (/ 1 x))))) into (- x (+ (* 1/8 (/ 1 (pow x 3))) (* 1/2 (/ 1 x)))) * [misc]approximate: Taking taylor expansion of (sqrt (- (* (/ 1 (- x)) (/ 1 (- x))) 1)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (* (/ 1 (- x)) (/ 1 (- x))) 1)) in x * [misc]taylor: Taking taylor expansion of (- (* (/ 1 (- x)) (/ 1 (- x))) 1) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (* (/ 1 (- x)) (/ 1 (- x))) 1)) in x * [misc]taylor: Taking taylor expansion of (- (* (/ 1 (- x)) (/ 1 (- x))) 1) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 1)) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 -1/2)))) (* 2 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow -1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 * [misc]backup-simplify: Simplify -1/8 into -1/8 * [misc]backup-simplify: Simplify (+ (* -1/8 (pow (/ 1 (- x)) 3)) (+ (* -1/2 (/ 1 (- x))) (* 1 (/ 1 (/ 1 (- x)))))) into (- (+ (* 1/8 (/ 1 (pow x 3))) (* 1/2 (/ 1 x))) x) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 1 1 2 1) * [misc]approximate: Taking taylor expansion of (sqrt (- (* x x) 1)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (* x x) 1)) in x * [misc]taylor: Taking taylor expansion of (- (* x x) 1) in x * [misc]taylor: Taking taylor expansion of (* x x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (* x x) 1)) in x * [misc]taylor: Taking taylor expansion of (- (* x x) 1) in x * [misc]taylor: Taking taylor expansion of (* x x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (/ 1/2 (sqrt -1)) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ 1/2 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -1/8 (pow (sqrt -1) 3)) * [misc]backup-simplify: Simplify (/ -1/8 (pow (sqrt -1) 3)) into (/ -1/8 (pow (sqrt -1) 3)) * [misc]backup-simplify: Simplify (+ (* (/ -1/8 (pow (sqrt -1) 3)) (pow x 4)) (+ (* (/ 1/2 (sqrt -1)) (pow x 2)) (sqrt -1))) into (- (+ (* 1/2 (/ (pow x 2) (sqrt -1))) (sqrt -1)) (* 1/8 (/ (pow x 4) (pow (sqrt -1) 3)))) * [misc]approximate: Taking taylor expansion of (sqrt (- (* (/ 1 x) (/ 1 x)) 1)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (* (/ 1 x) (/ 1 x)) 1)) in x * [misc]taylor: Taking taylor expansion of (- (* (/ 1 x) (/ 1 x)) 1) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (* (/ 1 x) (/ 1 x)) 1)) in x * [misc]taylor: Taking taylor expansion of (- (* (/ 1 x) (/ 1 x)) 1) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 1)) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 -1/2)))) (* 2 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow -1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 * [misc]backup-simplify: Simplify -1/8 into -1/8 * [misc]backup-simplify: Simplify (+ (* -1/8 (pow (/ 1 x) 3)) (+ (* -1/2 (/ 1 x)) (* 1 (/ 1 (/ 1 x))))) into (- x (+ (* 1/8 (/ 1 (pow x 3))) (* 1/2 (/ 1 x)))) * [misc]approximate: Taking taylor expansion of (sqrt (- (* (/ 1 (- x)) (/ 1 (- x))) 1)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (* (/ 1 (- x)) (/ 1 (- x))) 1)) in x * [misc]taylor: Taking taylor expansion of (- (* (/ 1 (- x)) (/ 1 (- x))) 1) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (* (/ 1 (- x)) (/ 1 (- x))) 1)) in x * [misc]taylor: Taking taylor expansion of (- (* (/ 1 (- x)) (/ 1 (- x))) 1) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 1)) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 -1/2)))) (* 2 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow -1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 * [misc]backup-simplify: Simplify -1/8 into -1/8 * [misc]backup-simplify: Simplify (+ (* -1/8 (pow (/ 1 (- x)) 3)) (+ (* -1/2 (/ 1 (- x))) (* 1 (/ 1 (/ 1 (- x)))))) into (- (+ (* 1/8 (/ 1 (pow x 3))) (* 1/2 (/ 1 x))) x) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 1 1 1 1) * [misc]approximate: Taking taylor expansion of (sqrt (- (* x x) 1)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (* x x) 1)) in x * [misc]taylor: Taking taylor expansion of (- (* x x) 1) in x * [misc]taylor: Taking taylor expansion of (* x x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (* x x) 1)) in x * [misc]taylor: Taking taylor expansion of (- (* x x) 1) in x * [misc]taylor: Taking taylor expansion of (* x x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (/ 1/2 (sqrt -1)) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ 1/2 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -1/8 (pow (sqrt -1) 3)) * [misc]backup-simplify: Simplify (/ -1/8 (pow (sqrt -1) 3)) into (/ -1/8 (pow (sqrt -1) 3)) * [misc]backup-simplify: Simplify (+ (* (/ -1/8 (pow (sqrt -1) 3)) (pow x 4)) (+ (* (/ 1/2 (sqrt -1)) (pow x 2)) (sqrt -1))) into (- (+ (* 1/2 (/ (pow x 2) (sqrt -1))) (sqrt -1)) (* 1/8 (/ (pow x 4) (pow (sqrt -1) 3)))) * [misc]approximate: Taking taylor expansion of (sqrt (- (* (/ 1 x) (/ 1 x)) 1)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (* (/ 1 x) (/ 1 x)) 1)) in x * [misc]taylor: Taking taylor expansion of (- (* (/ 1 x) (/ 1 x)) 1) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (* (/ 1 x) (/ 1 x)) 1)) in x * [misc]taylor: Taking taylor expansion of (- (* (/ 1 x) (/ 1 x)) 1) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 1)) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 -1/2)))) (* 2 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow -1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 * [misc]backup-simplify: Simplify -1/8 into -1/8 * [misc]backup-simplify: Simplify (+ (* -1/8 (pow (/ 1 x) 3)) (+ (* -1/2 (/ 1 x)) (* 1 (/ 1 (/ 1 x))))) into (- x (+ (* 1/8 (/ 1 (pow x 3))) (* 1/2 (/ 1 x)))) * [misc]approximate: Taking taylor expansion of (sqrt (- (* (/ 1 (- x)) (/ 1 (- x))) 1)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (* (/ 1 (- x)) (/ 1 (- x))) 1)) in x * [misc]taylor: Taking taylor expansion of (- (* (/ 1 (- x)) (/ 1 (- x))) 1) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (* (/ 1 (- x)) (/ 1 (- x))) 1)) in x * [misc]taylor: Taking taylor expansion of (- (* (/ 1 (- x)) (/ 1 (- x))) 1) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 1)) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 -1/2)))) (* 2 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow -1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 * [misc]backup-simplify: Simplify -1/8 into -1/8 * [misc]backup-simplify: Simplify (+ (* -1/8 (pow (/ 1 (- x)) 3)) (+ (* -1/2 (/ 1 (- x))) (* 1 (/ 1 (/ 1 (- x)))))) into (- (+ (* 1/8 (/ 1 (pow x 3))) (* 1/2 (/ 1 x))) x) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (- (- 1 (* x x)))) (cbrt (- (- 1 (* x x)))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (fabs (cbrt (- (* x x) 1))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (pow (pow (exp (* (cbrt (sqrt (- (* x x) 1))) (cbrt (sqrt (- (* x x) 1))))) (cbrt (sqrt (- (* x x) 1)))) (* (fabs (cbrt (- (* x x) 1))) (sqrt (cbrt (- (- 1 (* x x)))))))) * * * * [misc]progress: [ 10 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (- (- 1 (* x x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (- (* x x) 1))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (pow (pow (exp (* (cbrt (sqrt (- (* x x) 1))) (cbrt (sqrt (- (* x x) 1))))) (cbrt (sqrt (- (* x x) 1)))) (* (sqrt (sqrt (- (* x x) 1))) (sqrt (sqrt (- (- 1 (* x x)))))))) * * * * [misc]progress: [ 11 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [misc]simplify: Simplified (2 2 1) to (λ (x) (pow (pow (exp (* (cbrt (sqrt (- (* x x) 1))) (cbrt (sqrt (- (* x x) 1))))) (cbrt (sqrt (- (* x x) 1)))) (* (sqrt 1) (sqrt (- (- 1 (* x x))))))) * * * * [misc]progress: [ 12 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt -1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt -1) * [misc]simplify: Simplified (2 2 1) to (λ (x) (pow (pow (exp (* (cbrt (sqrt (- (* x x) 1))) (cbrt (sqrt (- (* x x) 1))))) (cbrt (sqrt (- (* x x) 1)))) (* (sqrt -1) (sqrt (- 1 (* x x)))))) * * * * [misc]progress: [ 13 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (* (cbrt (- 1 (* x x))) (cbrt (- 1 (* x x)))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (- 1 (* x x))) (- (cbrt (- 1 (* x x)))))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (pow (pow (exp (* (cbrt (sqrt (- (* x x) 1))) (cbrt (sqrt (- (* x x) 1))))) (cbrt (sqrt (- (* x x) 1)))) (* (sqrt (* (cbrt (- 1 (* x x))) (- (cbrt (- 1 (* x x)))))) (sqrt (cbrt (- 1 (* x x))))))) * * * * [misc]progress: [ 14 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (sqrt (- 1 (* x x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (sqrt (- (sqrt (- 1 (* x x))))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (pow (pow (exp (* (cbrt (sqrt (- (* x x) 1))) (cbrt (sqrt (- (* x x) 1))))) (cbrt (sqrt (- (* x x) 1)))) (* (sqrt (- (sqrt (- 1 (* x x))))) (sqrt (sqrt (- 1 (* x x))))))) * * * * [misc]progress: [ 15 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (sqrt (- 1)) * [misc]simplify: Simplified (2 2 1) to (λ (x) (pow (pow (exp (* (cbrt (sqrt (- (* x x) 1))) (cbrt (sqrt (- (* x x) 1))))) (cbrt (sqrt (- (* x x) 1)))) (* (sqrt (- 1)) (sqrt (- 1 (* x x)))))) * * * * [misc]progress: [ 16 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (- 1 (* x x))) (cbrt (- 1 (* x x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (fabs (cbrt (- 1 (* x x)))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (pow (pow (exp (* (cbrt (sqrt (- (* x x) 1))) (cbrt (sqrt (- (* x x) 1))))) (cbrt (sqrt (- (* x x) 1)))) (* (fabs (cbrt (- 1 (* x x)))) (sqrt (- (cbrt (- 1 (* x x)))))))) * * * * [misc]progress: [ 17 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (- 1 (* x x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (- 1 (* x x)))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (pow (pow (exp (* (cbrt (sqrt (- (* x x) 1))) (cbrt (sqrt (- (* x x) 1))))) (cbrt (sqrt (- (* x x) 1)))) (* (sqrt (sqrt (- 1 (* x x)))) (sqrt (- (sqrt (- 1 (* x x)))))))) * * * * [misc]progress: [ 18 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [misc]simplify: Simplified (2 2 1) to (λ (x) (pow (pow (exp (* (cbrt (sqrt (- (* x x) 1))) (cbrt (sqrt (- (* x x) 1))))) (cbrt (sqrt (- (* x x) 1)))) (* (sqrt 1) (sqrt (- (- 1 (* x x))))))) * * * * [misc]progress: [ 19 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (- (pow 1 3) (pow (* x x) 3)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (177 enodes) * * [misc]simplify: iters left: 1 (249 enodes) * [exit]simplify: Simplified to (sqrt (fma (pow x 3) (pow x 3) (- 1))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (pow (pow (exp (* (cbrt (sqrt (- (* x x) 1))) (cbrt (sqrt (- (* x x) 1))))) (cbrt (sqrt (- (* x x) 1)))) (/ (sqrt (fma (pow x 3) (pow x 3) (- 1))) (sqrt (+ (* 1 1) (+ (* (* x x) (* x x)) (* 1 (* x x)))))))) * * * * [misc]progress: [ 20 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (- (* 1 1) (* (* x x) (* x x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (117 enodes) * [exit]simplify: Simplified to (sqrt (fma (* x x) (* x x) (- 1))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (pow (pow (exp (* (cbrt (sqrt (- (* x x) 1))) (cbrt (sqrt (- (* x x) 1))))) (cbrt (sqrt (- (* x x) 1)))) (/ (sqrt (fma (* x x) (* x x) (- 1))) (sqrt (+ 1 (* x x)))))) * * * * [misc]progress: [ 21 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (- 1 (* x x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to (sqrt (- (* x x) 1)) * [misc]simplify: Simplified (2 2 1) to (λ (x) (pow (pow (exp (* (cbrt (sqrt (- (* x x) 1))) (cbrt (sqrt (- (* x x) 1))))) (cbrt (sqrt (- (* x x) 1)))) (fabs (sqrt (- (* x x) 1))))) * * * * [misc]progress: [ 23 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (- (* x x) 1)) (cbrt (- (* x x) 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (131 enodes) * [exit]simplify: Simplified to (fabs (cbrt (- (* x x) 1))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (x) (pow (pow (exp (* (cbrt (sqrt (- (* x x) 1))) (cbrt (sqrt (- (* x x) 1))))) (cbrt (* (fabs (cbrt (- (* x x) 1))) (sqrt (cbrt (- (* x x) 1)))))) (sqrt (- (- 1 (* x x)))))) * * * * [misc]progress: [ 33 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (- (* x x) 1))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (125 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (- (* x x) 1))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (x) (pow (pow (exp (* (cbrt (sqrt (- (* x x) 1))) (cbrt (sqrt (- (* x x) 1))))) (cbrt (* (sqrt (sqrt (- (* x x) 1))) (sqrt (sqrt (- (* x x) 1)))))) (sqrt (- (- 1 (* x x)))))) * * * * [misc]progress: [ 34 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (x) (pow (pow (exp (* (cbrt (sqrt (- (* x x) 1))) (cbrt (sqrt (- (* x x) 1))))) (cbrt (* (sqrt 1) (sqrt (- (* x x) 1))))) (sqrt (- (- 1 (* x x)))))) * * * * [misc]progress: [ 35 / 86 ] 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 1) to (λ (x) (pow (pow (exp (* (cbrt (sqrt (- (* x x) 1))) (cbrt (sqrt (- (* x x) 1))))) (cbrt (* (sqrt (+ 1 x)) (sqrt (- x 1))))) (sqrt (- (- 1 (* x x)))))) * * * * [misc]progress: [ 36 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (pow (* x x) 3) (pow 1 3))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (91 enodes) * * [misc]simplify: iters left: 1 (146 enodes) * [exit]simplify: Simplified to (sqrt (fma (pow x 3) (pow x 3) (- 1))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (x) (pow (pow (exp (* (cbrt (sqrt (- (* x x) 1))) (cbrt (sqrt (- (* x x) 1))))) (cbrt (/ (sqrt (fma (pow x 3) (pow x 3) (- 1))) (sqrt (+ (* (* x x) (* x x)) (+ (* 1 1) (* (* x x) 1))))))) (sqrt (- (- 1 (* x x)))))) * * * * [misc]progress: [ 37 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (* (* x x) (* x x)) (* 1 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (180 enodes) * [exit]simplify: Simplified to (sqrt (fma (* x x) (* x x) (- 1))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (x) (pow (pow (exp (* (cbrt (sqrt (- (* x x) 1))) (cbrt (sqrt (- (* x x) 1))))) (cbrt (/ (sqrt (fma (* x x) (* x x) (- 1))) (sqrt (+ (* x x) 1))))) (sqrt (- (- 1 (* x x)))))) * * * * [misc]progress: [ 38 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (* x x) 1)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (sqrt (- (* x x) 1)) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (x) (pow (pow (exp (* (cbrt (sqrt (- (* x x) 1))) (cbrt (sqrt (- (* x x) 1))))) (cbrt (fabs (sqrt (- (* x x) 1))))) (sqrt (- (- 1 (* x x)))))) * * * * [misc]progress: [ 40 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (- (* x x) 1)) (cbrt (- (* x x) 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (131 enodes) * [exit]simplify: Simplified to (fabs (cbrt (- (* x x) 1))) * [misc]simplify: Simplified (2 1 1 1 2 1 1) to (λ (x) (pow (pow (exp (* (cbrt (sqrt (- (* x x) 1))) (cbrt (* (fabs (cbrt (- (* x x) 1))) (sqrt (cbrt (- (* x x) 1))))))) (cbrt (sqrt (- (* x x) 1)))) (sqrt (- (- 1 (* x x)))))) * * * * [misc]progress: [ 50 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (- (* x x) 1))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (125 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (- (* x x) 1))) * [misc]simplify: Simplified (2 1 1 1 2 1 1) to (λ (x) (pow (pow (exp (* (cbrt (sqrt (- (* x x) 1))) (cbrt (* (sqrt (sqrt (- (* x x) 1))) (sqrt (sqrt (- (* x x) 1))))))) (cbrt (sqrt (- (* x x) 1)))) (sqrt (- (- 1 (* x x)))))) * * * * [misc]progress: [ 51 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [misc]simplify: Simplified (2 1 1 1 2 1 1) to (λ (x) (pow (pow (exp (* (cbrt (sqrt (- (* x x) 1))) (cbrt (* (sqrt 1) (sqrt (- (* x x) 1)))))) (cbrt (sqrt (- (* x x) 1)))) (sqrt (- (- 1 (* x x)))))) * * * * [misc]progress: [ 52 / 86 ] 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 1 1) to (λ (x) (pow (pow (exp (* (cbrt (sqrt (- (* x x) 1))) (cbrt (* (sqrt (+ 1 x)) (sqrt (- x 1)))))) (cbrt (sqrt (- (* x x) 1)))) (sqrt (- (- 1 (* x x)))))) * * * * [misc]progress: [ 53 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (pow (* x x) 3) (pow 1 3))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (91 enodes) * * [misc]simplify: iters left: 1 (146 enodes) * [exit]simplify: Simplified to (sqrt (fma (pow x 3) (pow x 3) (- 1))) * [misc]simplify: Simplified (2 1 1 1 2 1 1) to (λ (x) (pow (pow (exp (* (cbrt (sqrt (- (* x x) 1))) (cbrt (/ (sqrt (fma (pow x 3) (pow x 3) (- 1))) (sqrt (+ (* (* x x) (* x x)) (+ (* 1 1) (* (* x x) 1)))))))) (cbrt (sqrt (- (* x x) 1)))) (sqrt (- (- 1 (* x x)))))) * * * * [misc]progress: [ 54 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (* (* x x) (* x x)) (* 1 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (180 enodes) * [exit]simplify: Simplified to (sqrt (fma (* x x) (* x x) (- 1))) * [misc]simplify: Simplified (2 1 1 1 2 1 1) to (λ (x) (pow (pow (exp (* (cbrt (sqrt (- (* x x) 1))) (cbrt (/ (sqrt (fma (* x x) (* x x) (- 1))) (sqrt (+ (* x x) 1)))))) (cbrt (sqrt (- (* x x) 1)))) (sqrt (- (- 1 (* x x)))))) * * * * [misc]progress: [ 55 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (* x x) 1)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (sqrt (- (* x x) 1)) * [misc]simplify: Simplified (2 1 1 1 2 1 1) to (λ (x) (pow (pow (exp (* (cbrt (sqrt (- (* x x) 1))) (cbrt (fabs (sqrt (- (* x x) 1)))))) (cbrt (sqrt (- (* x x) 1)))) (sqrt (- (- 1 (* x x)))))) * * * * [misc]progress: [ 57 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 58 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 59 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 60 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 61 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 62 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 63 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 64 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 65 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 66 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (- (* x x) 1)) (cbrt (- (* x x) 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (131 enodes) * [exit]simplify: Simplified to (fabs (cbrt (- (* x x) 1))) * [misc]simplify: Simplified (2 1 1 1 1 1 1) to (λ (x) (pow (pow (exp (* (cbrt (* (fabs (cbrt (- (* x x) 1))) (sqrt (cbrt (- (* x x) 1))))) (cbrt (sqrt (- (* x x) 1))))) (cbrt (sqrt (- (* x x) 1)))) (sqrt (- (- 1 (* x x)))))) * * * * [misc]progress: [ 67 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (- (* x x) 1))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (125 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (- (* x x) 1))) * [misc]simplify: Simplified (2 1 1 1 1 1 1) to (λ (x) (pow (pow (exp (* (cbrt (* (sqrt (sqrt (- (* x x) 1))) (sqrt (sqrt (- (* x x) 1))))) (cbrt (sqrt (- (* x x) 1))))) (cbrt (sqrt (- (* x x) 1)))) (sqrt (- (- 1 (* x x)))))) * * * * [misc]progress: [ 68 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [misc]simplify: Simplified (2 1 1 1 1 1 1) to (λ (x) (pow (pow (exp (* (cbrt (* (sqrt 1) (sqrt (- (* x x) 1)))) (cbrt (sqrt (- (* x x) 1))))) (cbrt (sqrt (- (* x x) 1)))) (sqrt (- (- 1 (* x x)))))) * * * * [misc]progress: [ 69 / 86 ] 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 1 1 1) to (λ (x) (pow (pow (exp (* (cbrt (* (sqrt (+ 1 x)) (sqrt (- x 1)))) (cbrt (sqrt (- (* x x) 1))))) (cbrt (sqrt (- (* x x) 1)))) (sqrt (- (- 1 (* x x)))))) * * * * [misc]progress: [ 70 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (pow (* x x) 3) (pow 1 3))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (91 enodes) * * [misc]simplify: iters left: 1 (146 enodes) * [exit]simplify: Simplified to (sqrt (fma (pow x 3) (pow x 3) (- 1))) * [misc]simplify: Simplified (2 1 1 1 1 1 1) to (λ (x) (pow (pow (exp (* (cbrt (/ (sqrt (fma (pow x 3) (pow x 3) (- 1))) (sqrt (+ (* (* x x) (* x x)) (+ (* 1 1) (* (* x x) 1)))))) (cbrt (sqrt (- (* x x) 1))))) (cbrt (sqrt (- (* x x) 1)))) (sqrt (- (- 1 (* x x)))))) * * * * [misc]progress: [ 71 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (* (* x x) (* x x)) (* 1 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (180 enodes) * [exit]simplify: Simplified to (sqrt (fma (* x x) (* x x) (- 1))) * [misc]simplify: Simplified (2 1 1 1 1 1 1) to (λ (x) (pow (pow (exp (* (cbrt (/ (sqrt (fma (* x x) (* x x) (- 1))) (sqrt (+ (* x x) 1)))) (cbrt (sqrt (- (* x x) 1))))) (cbrt (sqrt (- (* x x) 1)))) (sqrt (- (- 1 (* x x)))))) * * * * [misc]progress: [ 72 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 73 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (* x x) 1)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (sqrt (- (* x x) 1)) * [misc]simplify: Simplified (2 1 1 1 1 1 1) to (λ (x) (pow (pow (exp (* (cbrt (fabs (sqrt (- (* x x) 1)))) (cbrt (sqrt (- (* x x) 1))))) (cbrt (sqrt (- (* x x) 1)))) (sqrt (- (- 1 (* x x)))))) * * * * [misc]progress: [ 74 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 75 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/2 (/ (pow x 2) (sqrt -1))) (sqrt -1)) (* 1/8 (/ (pow x 4) (pow (sqrt -1) 3)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (161 enodes) * * [misc]simplify: iters left: 2 (298 enodes) * * [misc]simplify: iters left: 1 (376 enodes) * [exit]simplify: Simplified to (- (fma (/ (* x x) (sqrt -1)) 1/2 (sqrt -1)) (* (/ 1/8 (sqrt -1)) (/ (pow x 4) -1))) * [misc]simplify: Simplified (2 2) to (λ (x) (pow (pow (exp (* (cbrt (sqrt (- (* x x) 1))) (cbrt (sqrt (- (* x x) 1))))) (cbrt (sqrt (- (* x x) 1)))) (- (fma (/ (* x x) (sqrt -1)) 1/2 (sqrt -1)) (* (/ 1/8 (sqrt -1)) (/ (pow x 4) -1))))) * * * * [misc]progress: [ 76 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (- x (+ (* 1/8 (/ 1 (pow x 3))) (* 1/2 (/ 1 x)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (174 enodes) * * [misc]simplify: iters left: 1 (406 enodes) * [exit]simplify: Simplified to (fma (- (/ 1 x)) (fma (/ 1 x) (/ 1/8 x) 1/2) x) * [misc]simplify: Simplified (2 2) to (λ (x) (pow (pow (exp (* (cbrt (sqrt (- (* x x) 1))) (cbrt (sqrt (- (* x x) 1))))) (cbrt (sqrt (- (* x x) 1)))) (fma (- (/ 1 x)) (fma (/ 1 x) (/ 1/8 x) 1/2) x))) * * * * [misc]progress: [ 77 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/8 (/ 1 (pow x 3))) (* 1/2 (/ 1 x))) x) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (193 enodes) * [exit]simplify: Simplified to (fma (/ 1 x) (fma (/ 1/8 x) (/ 1 x) 1/2) (- x)) * [misc]simplify: Simplified (2 2) to (λ (x) (pow (pow (exp (* (cbrt (sqrt (- (* x x) 1))) (cbrt (sqrt (- (* x x) 1))))) (cbrt (sqrt (- (* x x) 1)))) (fma (/ 1 x) (fma (/ 1/8 x) (/ 1 x) 1/2) (- x)))) * * * * [misc]progress: [ 78 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/2 (/ (pow x 2) (sqrt -1))) (sqrt -1)) (* 1/8 (/ (pow x 4) (pow (sqrt -1) 3)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (161 enodes) * * [misc]simplify: iters left: 2 (298 enodes) * * [misc]simplify: iters left: 1 (376 enodes) * [exit]simplify: Simplified to (- (fma (/ (* x x) (sqrt -1)) 1/2 (sqrt -1)) (* (/ 1/8 (sqrt -1)) (/ (pow x 4) -1))) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (pow (pow (exp (* (cbrt (sqrt (- (* x x) 1))) (cbrt (sqrt (- (* x x) 1))))) (cbrt (- (fma (/ (* x x) (sqrt -1)) 1/2 (sqrt -1)) (* (/ 1/8 (sqrt -1)) (/ (pow x 4) -1))))) (sqrt (- (- 1 (* x x)))))) * * * * [misc]progress: [ 79 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (- x (+ (* 1/8 (/ 1 (pow x 3))) (* 1/2 (/ 1 x)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (174 enodes) * * [misc]simplify: iters left: 1 (406 enodes) * [exit]simplify: Simplified to (fma (- (/ 1 x)) (fma (/ 1 x) (/ 1/8 x) 1/2) x) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (pow (pow (exp (* (cbrt (sqrt (- (* x x) 1))) (cbrt (sqrt (- (* x x) 1))))) (cbrt (fma (- (/ 1 x)) (fma (/ 1 x) (/ 1/8 x) 1/2) x))) (sqrt (- (- 1 (* x x)))))) * * * * [misc]progress: [ 80 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/8 (/ 1 (pow x 3))) (* 1/2 (/ 1 x))) x) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (193 enodes) * [exit]simplify: Simplified to (fma (/ 1 x) (fma (/ 1/8 x) (/ 1 x) 1/2) (- x)) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (pow (pow (exp (* (cbrt (sqrt (- (* x x) 1))) (cbrt (sqrt (- (* x x) 1))))) (cbrt (fma (/ 1 x) (fma (/ 1/8 x) (/ 1 x) 1/2) (- x)))) (sqrt (- (- 1 (* x x)))))) * * * * [misc]progress: [ 81 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/2 (/ (pow x 2) (sqrt -1))) (sqrt -1)) (* 1/8 (/ (pow x 4) (pow (sqrt -1) 3)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (161 enodes) * * [misc]simplify: iters left: 2 (298 enodes) * * [misc]simplify: iters left: 1 (376 enodes) * [exit]simplify: Simplified to (- (fma (/ (* x x) (sqrt -1)) 1/2 (sqrt -1)) (* (/ 1/8 (sqrt -1)) (/ (pow x 4) -1))) * [misc]simplify: Simplified (2 1 1 1 2 1) to (λ (x) (pow (pow (exp (* (cbrt (sqrt (- (* x x) 1))) (cbrt (- (fma (/ (* x x) (sqrt -1)) 1/2 (sqrt -1)) (* (/ 1/8 (sqrt -1)) (/ (pow x 4) -1)))))) (cbrt (sqrt (- (* x x) 1)))) (sqrt (- (- 1 (* x x)))))) * * * * [misc]progress: [ 82 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (- x (+ (* 1/8 (/ 1 (pow x 3))) (* 1/2 (/ 1 x)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (174 enodes) * * [misc]simplify: iters left: 1 (406 enodes) * [exit]simplify: Simplified to (fma (- (/ 1 x)) (fma (/ 1 x) (/ 1/8 x) 1/2) x) * [misc]simplify: Simplified (2 1 1 1 2 1) to (λ (x) (pow (pow (exp (* (cbrt (sqrt (- (* x x) 1))) (cbrt (fma (- (/ 1 x)) (fma (/ 1 x) (/ 1/8 x) 1/2) x)))) (cbrt (sqrt (- (* x x) 1)))) (sqrt (- (- 1 (* x x)))))) * * * * [misc]progress: [ 83 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/8 (/ 1 (pow x 3))) (* 1/2 (/ 1 x))) x) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (193 enodes) * [exit]simplify: Simplified to (fma (/ 1 x) (fma (/ 1/8 x) (/ 1 x) 1/2) (- x)) * [misc]simplify: Simplified (2 1 1 1 2 1) to (λ (x) (pow (pow (exp (* (cbrt (sqrt (- (* x x) 1))) (cbrt (fma (/ 1 x) (fma (/ 1/8 x) (/ 1 x) 1/2) (- x))))) (cbrt (sqrt (- (* x x) 1)))) (sqrt (- (- 1 (* x x)))))) * * * * [misc]progress: [ 84 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/2 (/ (pow x 2) (sqrt -1))) (sqrt -1)) (* 1/8 (/ (pow x 4) (pow (sqrt -1) 3)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (161 enodes) * * [misc]simplify: iters left: 2 (298 enodes) * * [misc]simplify: iters left: 1 (376 enodes) * [exit]simplify: Simplified to (- (fma (/ (* x x) (sqrt -1)) 1/2 (sqrt -1)) (* (/ 1/8 (sqrt -1)) (/ (pow x 4) -1))) * [misc]simplify: Simplified (2 1 1 1 1 1) to (λ (x) (pow (pow (exp (* (cbrt (- (fma (/ (* x x) (sqrt -1)) 1/2 (sqrt -1)) (* (/ 1/8 (sqrt -1)) (/ (pow x 4) -1)))) (cbrt (sqrt (- (* x x) 1))))) (cbrt (sqrt (- (* x x) 1)))) (sqrt (- (- 1 (* x x)))))) * * * * [misc]progress: [ 85 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (- x (+ (* 1/8 (/ 1 (pow x 3))) (* 1/2 (/ 1 x)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (174 enodes) * * [misc]simplify: iters left: 1 (406 enodes) * [exit]simplify: Simplified to (fma (- (/ 1 x)) (fma (/ 1 x) (/ 1/8 x) 1/2) x) * [misc]simplify: Simplified (2 1 1 1 1 1) to (λ (x) (pow (pow (exp (* (cbrt (fma (- (/ 1 x)) (fma (/ 1 x) (/ 1/8 x) 1/2) x)) (cbrt (sqrt (- (* x x) 1))))) (cbrt (sqrt (- (* x x) 1)))) (sqrt (- (- 1 (* x x)))))) * * * * [misc]progress: [ 86 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/8 (/ 1 (pow x 3))) (* 1/2 (/ 1 x))) x) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (193 enodes) * [exit]simplify: Simplified to (fma (/ 1 x) (fma (/ 1/8 x) (/ 1 x) 1/2) (- x)) * [misc]simplify: Simplified (2 1 1 1 1 1) to (λ (x) (pow (pow (exp (* (cbrt (fma (/ 1 x) (fma (/ 1/8 x) (/ 1 x) 1/2) (- x))) (cbrt (sqrt (- (* x x) 1))))) (cbrt (sqrt (- (* x x) 1)))) (sqrt (- (- 1 (* x x)))))) * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime: Finding splitpoints for: (# # #) * * * [misc]regime-changes: Trying 5 branch expressions: (x (* x x) (- 1 (* x x)) (- (- 1 (* x x))) (exp (- (- 1 (* x x))))) * * * * [misc]regimes: Trying to branch on x from (# # #) * * * * [misc]regimes: Trying to branch on (* x x) from (# # #) * * * * [misc]regimes: Trying to branch on (- 1 (* x x)) from (# # #) * * * * [misc]regimes: Trying to branch on (- (- 1 (* x x))) from (# # #) * * * * [misc]regimes: Trying to branch on (exp (- (- 1 (* x x)))) from (# # #) * * * [misc]regime: Found split indices: #