* [misc]progress: [Phase 1 of 3] Setting up. * * * [misc]progress: [1/2] Preparing points * * * [misc]progress: [2/2] Setting up program. * [enter]simplify: Simplifying (exp (- (- 1 (* x x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * * [misc]simplify: iters left: 1 (26 enodes) * [exit]simplify: Simplified to (/ (exp (sqr x)) E) * [misc]progress: [Phase 2 of 3] Improving. * * [misc]progress: iteration 1 / 3 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 1 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (/ (exp (sqr x)) E) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (exp (sqr x)) E) in x * [misc]taylor: Taking taylor expansion of (exp (sqr x)) in x * [misc]taylor: Taking taylor expansion of (sqr x) in x * [misc]taylor: Taking 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 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of E in x * [misc]backup-simplify: Simplify E into E * [misc]backup-simplify: Simplify (/ 1 E) into (/ 1 E) * [misc]taylor: Taking taylor expansion of (/ (exp (sqr x)) E) in x * [misc]taylor: Taking taylor expansion of (exp (sqr x)) in x * [misc]taylor: Taking taylor expansion of (sqr x) in x * [misc]taylor: Taking 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 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of E in x * [misc]backup-simplify: Simplify E into E * [misc]backup-simplify: Simplify (/ 1 E) into (/ 1 E) * [misc]backup-simplify: Simplify (/ 1 E) into (/ 1 E) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 E) (+ (* (/ 1 E) (/ 0 E)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (- (/ 1 E) (+ (* (/ 1 E) (/ 0 E)) (* 0 (/ 0 E)))) into (/ 1 E) * [misc]backup-simplify: Simplify (/ 1 E) into (/ 1 E) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 1 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 E) (+ (* (/ 1 E) (/ 0 E)) (* 0 (/ 0 E)) (* (/ 1 E) (/ 0 E)))) 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 (* (exp 0) (+ (* (/ (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 * [misc]backup-simplify: Simplify (- (/ 1/2 E) (+ (* (/ 1 E) (/ 0 E)) (* 0 (/ 0 E)) (* (/ 1 E) (/ 0 E)) (* 0 (/ 0 E)))) into (* 1/2 (/ 1 E)) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 E)) into (/ 1/2 E) * [misc]backup-simplify: Simplify (+ (* (/ 1/2 E) (pow x 4)) (+ (* (/ 1 E) (sqr x)) (/ 1 E))) into (+ (/ 1 E) (+ (* 1/2 (/ (pow x 4) E)) (/ (sqr x) E))) * [misc]approximate: Taking taylor expansion of (/ (exp (sqr (/ 1 x))) E) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (exp (sqr (/ 1 x))) E) in x * [misc]taylor: Taking taylor expansion of (exp (sqr (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (sqr (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (exp (sqr (/ 1 x))) into (exp (/ 1 (sqr x))) * [misc]taylor: Taking taylor expansion of E in x * [misc]backup-simplify: Simplify E into E * [misc]backup-simplify: Simplify (/ (exp (/ 1 (sqr x))) E) into (/ (exp (/ 1 (sqr x))) E) * [misc]taylor: Taking taylor expansion of (/ (exp (sqr (/ 1 x))) E) in x * [misc]taylor: Taking taylor expansion of (exp (sqr (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (sqr (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (exp (sqr (/ 1 x))) into (exp (/ 1 (sqr x))) * [misc]taylor: Taking taylor expansion of E in x * [misc]backup-simplify: Simplify E into E * [misc]backup-simplify: Simplify (/ (exp (/ 1 (sqr x))) E) into (/ (exp (/ 1 (sqr x))) E) * [misc]backup-simplify: Simplify (/ (exp (/ 1 (sqr x))) E) into (/ (exp (/ 1 (sqr x))) E) * [misc]backup-simplify: Simplify (- (/ 0 E) (+ (* (/ (exp (/ 1 (sqr x))) E) (/ 0 E)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 E) (+ (* (/ (exp (/ 1 (sqr x))) E) (/ 0 E)) (* 0 (/ 0 E)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 E) (+ (* (/ (exp (/ 1 (sqr x))) E) (/ 0 E)) (* 0 (/ 0 E)) (* 0 (/ 0 E)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 E) (+ (* (/ (exp (/ 1 (sqr x))) E) (/ 0 E)) (* 0 (/ 0 E)) (* 0 (/ 0 E)) (* 0 (/ 0 E)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 E) (+ (* (/ (exp (/ 1 (sqr x))) E) (/ 0 E)) (* 0 (/ 0 E)) (* 0 (/ 0 E)) (* 0 (/ 0 E)) (* 0 (/ 0 E)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 E) (+ (* (/ (exp (/ 1 (sqr x))) E) (/ 0 E)) (* 0 (/ 0 E)) (* 0 (/ 0 E)) (* 0 (/ 0 E)) (* 0 (/ 0 E)) (* 0 (/ 0 E)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (exp (/ 1 (sqr x))) E) into (/ (exp (/ 1 (sqr x))) E) * [misc]approximate: Taking taylor expansion of (/ (exp (sqr (/ 1 (- x)))) E) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (exp (sqr (/ 1 (- x)))) E) in x * [misc]taylor: Taking taylor expansion of (exp (sqr (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (exp (sqr (/ 1 (- x)))) into (exp (/ 1 (sqr x))) * [misc]taylor: Taking taylor expansion of E in x * [misc]backup-simplify: Simplify E into E * [misc]backup-simplify: Simplify (/ (exp (/ 1 (sqr x))) E) into (/ (exp (/ 1 (sqr x))) E) * [misc]taylor: Taking taylor expansion of (/ (exp (sqr (/ 1 (- x)))) E) in x * [misc]taylor: Taking taylor expansion of (exp (sqr (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (exp (sqr (/ 1 (- x)))) into (exp (/ 1 (sqr x))) * [misc]taylor: Taking taylor expansion of E in x * [misc]backup-simplify: Simplify E into E * [misc]backup-simplify: Simplify (/ (exp (/ 1 (sqr x))) E) into (/ (exp (/ 1 (sqr x))) E) * [misc]backup-simplify: Simplify (/ (exp (/ 1 (sqr x))) E) into (/ (exp (/ 1 (sqr x))) E) * [misc]backup-simplify: Simplify (- (/ 0 E) (+ (* (/ (exp (/ 1 (sqr x))) E) (/ 0 E)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 E) (+ (* (/ (exp (/ 1 (sqr x))) E) (/ 0 E)) (* 0 (/ 0 E)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 E) (+ (* (/ (exp (/ 1 (sqr x))) E) (/ 0 E)) (* 0 (/ 0 E)) (* 0 (/ 0 E)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 E) (+ (* (/ (exp (/ 1 (sqr x))) E) (/ 0 E)) (* 0 (/ 0 E)) (* 0 (/ 0 E)) (* 0 (/ 0 E)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 E) (+ (* (/ (exp (/ 1 (sqr x))) E) (/ 0 E)) (* 0 (/ 0 E)) (* 0 (/ 0 E)) (* 0 (/ 0 E)) (* 0 (/ 0 E)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 E) (+ (* (/ (exp (/ 1 (sqr x))) E) (/ 0 E)) (* 0 (/ 0 E)) (* 0 (/ 0 E)) (* 0 (/ 0 E)) (* 0 (/ 0 E)) (* 0 (/ 0 E)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (exp (/ 1 (sqr x))) E) into (/ (exp (/ 1 (sqr x))) E) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 1 ] rewriting at (2) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 14 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (/ 1 E) (+ (* 1/2 (/ (pow x 4) E)) (/ (sqr x) E))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (+ (+ (/ (pow x 4) (/ E 1/2)) (* (/ x E) x)) (/ 1 E)) * * * * [misc]progress: [ 2 / 14 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (/ 1 (sqr x))) E) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (/ (exp (/ 1 (sqr x))) E) * * * * [misc]progress: [ 3 / 14 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (/ 1 (sqr x))) E) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (/ (exp (/ 1 (sqr x))) E) * * * * [misc]progress: [ 4 / 14 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 14 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (exp (sqr x)) E)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (23 enodes) * [exit]simplify: Simplified to (- (* x x) 1) * [exit]simplify: Simplified to (- (* x x) 1) * * * * [misc]progress: [ 6 / 14 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (exp (sqr x)) E)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (exp (/ (exp (* x x)) E)) * [exit]simplify: Simplified to (exp (/ (exp (* x x)) E)) * * * * [misc]progress: [ 7 / 14 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (exp (sqr x)) E)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (cbrt (/ (exp (* x x)) E)) * [exit]simplify: Simplified to (cbrt (/ (exp (* x x)) E)) * * * * [misc]progress: [ 8 / 14 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (/ (exp (sqr x)) E)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (63 enodes) * [exit]simplify: Simplified to (cube (/ (exp (* x x)) E)) * [exit]simplify: Simplified to (cube (/ (exp (* x x)) E)) * * * * [misc]progress: [ 9 / 14 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (exp (sqr x)) E)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (sqrt (/ (exp (* x x)) E)) * [exit]simplify: Simplified to (sqrt (/ (exp (* x x)) E)) * * * * [misc]progress: [ 10 / 14 ] simplifiying candidate # * [enter]simplify: Simplifying (- (exp (sqr x))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (- (exp (* x x))) * [exit]simplify: Simplified to (- (exp (* x x))) * [enter]simplify: Simplifying (- E) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (- E) * [exit]simplify: Simplified to (- E) * * * * [misc]progress: [ 11 / 14 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 14 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 E) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to (/ 1 E) * [exit]simplify: Simplified to (/ 1 E) * * * * [misc]progress: [ 13 / 14 ] simplifiying candidate # * [enter]simplify: Simplifying (/ E (exp (sqr x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * [exit]simplify: Simplified to (/ E (exp (sqr x))) * [exit]simplify: Simplified to (/ E (exp (sqr x))) * * * * [misc]progress: [ 14 / 14 ] simplifiying candidate # * [enter]simplify: Simplifying (/ E (exp (sqr x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * [exit]simplify: Simplified to (/ E (exp (sqr x))) * [exit]simplify: Simplified to (/ E (exp (sqr x))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 3 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating series expansions * * * [misc]progress: generating rewritten candidates * * * [misc]progress: simplifying candidates * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime-changes: Finding splitpoints for: (# #) * [misc]regimes: Found splitpoints: (#s(sp 0 x +inf.0)) , with alts (#) * [enter]simplify: Simplifying (exp (sqr x)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (exp (* x x)) * [exit]simplify: Simplified to (exp (* x x)) * [enter]simplify: Simplifying (* x x) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to (* x x) * [exit]simplify: Simplified to (* x x)