* [misc]progress: [Phase 1 of 3] Setting up. * * * [misc]progress: [1/2] Preparing points * * * [misc]progress: [2/2] Setting up program. * [enter]simplify: Simplifying (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (175 enodes) * * [misc]simplify: iters left: 1 (239 enodes) * [exit]simplify: Simplified to (* (fma (exp im) (cos re) (/ (cos re) (exp im))) 0.5) * [misc]progress: [Phase 2 of 3] Improving. * * [misc]progress: iteration 1 / 2 * * * [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 2) * [misc]approximate: Taking taylor expansion of (+ (exp (- im)) (exp im)) in (im) around 0 * [misc]taylor: Taking taylor expansion of (+ (exp (- im)) (exp im)) in im * [misc]taylor: Taking taylor expansion of (exp (- im)) in im * [misc]taylor: Taking taylor expansion of (- im) in im * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp im) in im * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (+ (exp (- im)) (exp im)) in im * [misc]taylor: Taking taylor expansion of (exp (- im)) in im * [misc]taylor: Taking taylor expansion of (- im) in im * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp im) in im * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (+ -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 (* (exp 0) (+ (* (/ (pow -1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (+ 1/2 1/2) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -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 (* (exp 0) (+ (* (/ (pow -1 3) 6)) (* (/ (pow -1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into -1/6 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 1/6 * [misc]backup-simplify: Simplify (+ -1/6 1/6) into 0 * [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 (- 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 (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -1 4) 24)) (* (/ (pow -1 2) 2) (/ (pow 0 1) 1)) (* (/ (pow -1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 1/24 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 4) 24)) (* (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 1/24 * [misc]backup-simplify: Simplify (+ 1/24 1/24) into 1/12 * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]backup-simplify: Simplify (+ (* 1/12 (pow im 4)) (+ (* 1 (sqr im)) 2)) into (+ 2 (+ (sqr im) (* 1/12 (pow im 4)))) * [misc]approximate: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in (im) around 0 * [misc]taylor: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im * [misc]taylor: Taking taylor expansion of (exp (- (/ 1 im))) in im * [misc]taylor: Taking taylor expansion of (- (/ 1 im)) in im * [misc]taylor: Taking taylor expansion of (/ 1 im) in im * [misc]taylor: Taking taylor expansion of im in im * [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) into -1 * [misc]backup-simplify: Simplify (exp (- (/ 1 im))) into (exp (- (/ 1 im))) * [misc]taylor: Taking taylor expansion of (exp (/ 1 im)) in im * [misc]taylor: Taking taylor expansion of (/ 1 im) in im * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) * [misc]taylor: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im * [misc]taylor: Taking taylor expansion of (exp (- (/ 1 im))) in im * [misc]taylor: Taking taylor expansion of (- (/ 1 im)) in im * [misc]taylor: Taking taylor expansion of (/ 1 im) in im * [misc]taylor: Taking taylor expansion of im in im * [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) into -1 * [misc]backup-simplify: Simplify (exp (- (/ 1 im))) into (exp (- (/ 1 im))) * [misc]taylor: Taking taylor expansion of (exp (/ 1 im)) in im * [misc]taylor: Taking taylor expansion of (/ 1 im) in im * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) * [misc]backup-simplify: Simplify (+ (exp (- (/ 1 im))) (exp (/ 1 im))) into (+ (exp (/ 1 im)) (exp (- (/ 1 im)))) * [misc]backup-simplify: Simplify (+ (exp (/ 1 im)) (exp (- (/ 1 im)))) into (+ (exp (/ 1 im)) (exp (- (/ 1 im)))) * [misc]backup-simplify: Simplify (+ 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 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 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 im)) (exp (- (/ 1 im)))) into (+ (exp (/ 1 im)) (exp (- (/ 1 im)))) * [misc]approximate: Taking taylor expansion of (+ (exp (- (/ 1 (- im)))) (exp (/ 1 (- im)))) in (im) around 0 * [misc]taylor: Taking taylor expansion of (+ (exp (- (/ 1 (- im)))) (exp (/ 1 (- im)))) in im * [misc]taylor: Taking taylor expansion of (exp (- (/ 1 (- im)))) in im * [misc]taylor: Taking taylor expansion of (- (/ 1 (- im))) in im * [misc]taylor: Taking taylor expansion of (/ 1 (- im)) in im * [misc]taylor: Taking taylor expansion of (- im) in im * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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) into 1 * [misc]backup-simplify: Simplify (exp (- (/ 1 (- im)))) into (exp (/ 1 im)) * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- im))) in im * [misc]taylor: Taking taylor expansion of (/ 1 (- im)) in im * [misc]taylor: Taking taylor expansion of (- im) in im * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (exp (/ 1 (- im))) into (exp (/ -1 im)) * [misc]taylor: Taking taylor expansion of (+ (exp (- (/ 1 (- im)))) (exp (/ 1 (- im)))) in im * [misc]taylor: Taking taylor expansion of (exp (- (/ 1 (- im)))) in im * [misc]taylor: Taking taylor expansion of (- (/ 1 (- im))) in im * [misc]taylor: Taking taylor expansion of (/ 1 (- im)) in im * [misc]taylor: Taking taylor expansion of (- im) in im * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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) into 1 * [misc]backup-simplify: Simplify (exp (- (/ 1 (- im)))) into (exp (/ 1 im)) * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- im))) in im * [misc]taylor: Taking taylor expansion of (/ 1 (- im)) in im * [misc]taylor: Taking taylor expansion of (- im) in im * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (exp (/ 1 (- im))) into (exp (/ -1 im)) * [misc]backup-simplify: Simplify (+ (exp (/ 1 im)) (exp (/ -1 im))) into (+ (exp (/ 1 im)) (exp (/ -1 im))) * [misc]backup-simplify: Simplify (+ (exp (/ 1 im)) (exp (/ -1 im))) into (+ (exp (/ 1 im)) (exp (/ -1 im))) * [misc]backup-simplify: Simplify (+ 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 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 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 im)) (exp (/ -1 im))) into (+ (exp (/ 1 im)) (exp (/ -1 im))) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 1 ] rewriting at (2 2) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 18 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* 0.5 (cos re)) (+ 2 (+ (sqr im) (* 1/12 (pow im 4))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (158 enodes) * * [misc]simplify: iters left: 2 (310 enodes) * * [misc]simplify: iters left: 1 (416 enodes) * [exit]simplify: Simplified to (* (fma 1/12 (pow im 4) (fma im im 2)) (* (cos re) 0.5)) * * * * [misc]progress: [ 2 / 18 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* 0.5 (cos re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (180 enodes) * * [misc]simplify: iters left: 1 (237 enodes) * [exit]simplify: Simplified to (fma (exp (/ 1 im)) (* 0.5 (cos re)) (/ (* 0.5 (cos re)) (exp (/ 1 im)))) * * * * [misc]progress: [ 3 / 18 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* 0.5 (cos re)) (+ (exp (/ 1 im)) (exp (/ -1 im)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (103 enodes) * * [misc]simplify: iters left: 1 (107 enodes) * [exit]simplify: Simplified to (* (* (cos re) 0.5) (+ (exp (/ 1 im)) (exp (/ -1 im)))) * * * * [misc]progress: [ 4 / 18 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (+ (exp (- im)) (exp im))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (expm1 (+ (exp (- im)) (exp im))) * [exit]simplify: Simplified to (expm1 (+ (exp (- im)) (exp im))) * * * * [misc]progress: [ 5 / 18 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (+ (exp (- im)) (exp im))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (log1p (+ (exp (- im)) (exp im))) * [exit]simplify: Simplified to (log1p (+ (exp (- im)) (exp im))) * * * * [misc]progress: [ 6 / 18 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 18 ] simplifiying candidate # * [enter]simplify: Simplifying (* (exp (exp (- im))) (exp (exp im))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (exp (+ (exp im) (exp (- im)))) * [exit]simplify: Simplified to (exp (+ (exp im) (exp (- im)))) * * * * [misc]progress: [ 8 / 18 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 18 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (exp (- im)) (exp im))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (log (+ (exp (- im)) (exp im))) * [exit]simplify: Simplified to (log (+ (exp (- im)) (exp im))) * * * * [misc]progress: [ 10 / 18 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (+ (exp (- im)) (exp im))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (exp (+ (exp (- im)) (exp im))) * [exit]simplify: Simplified to (exp (+ (exp (- im)) (exp im))) * * * * [misc]progress: [ 11 / 18 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (exp (- im)) (exp im))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (cbrt (+ (exp (- im)) (exp im))) * [exit]simplify: Simplified to (cbrt (+ (exp (- im)) (exp im))) * * * * [misc]progress: [ 12 / 18 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (+ (exp (- im)) (exp im))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (171 enodes) * * [misc]simplify: iters left: 1 (369 enodes) * [exit]simplify: Simplified to (cube (+ (exp (- im)) (exp im))) * [exit]simplify: Simplified to (cube (+ (exp (- im)) (exp im))) * * * * [misc]progress: [ 13 / 18 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (exp (- im)) (exp im))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (sqrt (+ (exp (- im)) (exp im))) * [exit]simplify: Simplified to (sqrt (+ (exp (- im)) (exp im))) * * * * [misc]progress: [ 14 / 18 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 18 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (exp (- im)) 3) (pow (exp im) 3)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (70 enodes) * [exit]simplify: Simplified to (- (cube (exp (- im))) (cube (exp im))) * [exit]simplify: Simplified to (- (cube (exp (- im))) (cube (exp im))) * [enter]simplify: Simplifying (+ (sqr (exp (- im))) (- (sqr (exp im)) (* (exp (- im)) (exp im)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (103 enodes) * [exit]simplify: Simplified to (fma (exp (- im)) (exp (- im)) (expm1 (+ im im))) * [exit]simplify: Simplified to (fma (exp (- im)) (exp (- im)) (expm1 (+ im im))) * * * * [misc]progress: [ 16 / 18 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqr (exp (- im))) (sqr (exp im))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (66 enodes) * [exit]simplify: Simplified to (- (exp (- (+ im im))) (* (exp im) (exp im))) * [exit]simplify: Simplified to (- (exp (- (+ im im))) (* (exp im) (exp im))) * [enter]simplify: Simplifying (- (exp (- im)) (exp im)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [exit]simplify: Simplified to (- (exp (- im)) (exp im)) * [exit]simplify: Simplified to (- (exp (- im)) (exp im)) * * * * [misc]progress: [ 17 / 18 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (exp (- im)) (exp im)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (+ (exp (- im)) (exp im)) * [exit]simplify: Simplified to (+ (exp (- im)) (exp im)) * * * * [misc]progress: [ 18 / 18 ] simplifiying candidate # * * * [misc]progress: adding candidates to table * * [misc]progress: Final touches. * * * [misc]progress: tayloring alt 1 of 1 * [misc]approximate: Taking taylor expansion of (+ (exp (- im)) (exp im)) in (im) around 0 * [misc]taylor: Taking taylor expansion of (+ (exp (- im)) (exp im)) in im * [misc]taylor: Taking taylor expansion of (exp (- im)) in im * [misc]taylor: Taking taylor expansion of (- im) in im * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp im) in im * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (+ (exp (- im)) (exp im)) in im * [misc]taylor: Taking taylor expansion of (exp (- im)) in im * [misc]taylor: Taking taylor expansion of (- im) in im * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp im) in im * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (+ -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 (* (exp 0) (+ (* (/ (pow -1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (+ 1/2 1/2) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -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 (* (exp 0) (+ (* (/ (pow -1 3) 6)) (* (/ (pow -1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into -1/6 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 1/6 * [misc]backup-simplify: Simplify (+ -1/6 1/6) into 0 * [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 (- 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 (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -1 4) 24)) (* (/ (pow -1 2) 2) (/ (pow 0 1) 1)) (* (/ (pow -1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 1/24 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 4) 24)) (* (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 1/24 * [misc]backup-simplify: Simplify (+ 1/24 1/24) into 1/12 * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]backup-simplify: Simplify (+ (* 1/12 (pow im 4)) (+ (* 1 (sqr im)) 2)) into (+ 2 (+ (sqr im) (* 1/12 (pow im 4)))) * [misc]approximate: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in (im) around 0 * [misc]taylor: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im * [misc]taylor: Taking taylor expansion of (exp (- (/ 1 im))) in im * [misc]taylor: Taking taylor expansion of (- (/ 1 im)) in im * [misc]taylor: Taking taylor expansion of (/ 1 im) in im * [misc]taylor: Taking taylor expansion of im in im * [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) into -1 * [misc]backup-simplify: Simplify (exp (- (/ 1 im))) into (exp (- (/ 1 im))) * [misc]taylor: Taking taylor expansion of (exp (/ 1 im)) in im * [misc]taylor: Taking taylor expansion of (/ 1 im) in im * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) * [misc]taylor: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im * [misc]taylor: Taking taylor expansion of (exp (- (/ 1 im))) in im * [misc]taylor: Taking taylor expansion of (- (/ 1 im)) in im * [misc]taylor: Taking taylor expansion of (/ 1 im) in im * [misc]taylor: Taking taylor expansion of im in im * [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) into -1 * [misc]backup-simplify: Simplify (exp (- (/ 1 im))) into (exp (- (/ 1 im))) * [misc]taylor: Taking taylor expansion of (exp (/ 1 im)) in im * [misc]taylor: Taking taylor expansion of (/ 1 im) in im * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) * [misc]backup-simplify: Simplify (+ (exp (- (/ 1 im))) (exp (/ 1 im))) into (+ (exp (/ 1 im)) (exp (- (/ 1 im)))) * [misc]backup-simplify: Simplify (+ (exp (/ 1 im)) (exp (- (/ 1 im)))) into (+ (exp (/ 1 im)) (exp (- (/ 1 im)))) * [misc]backup-simplify: Simplify (+ 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 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 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 im)) (exp (- (/ 1 im)))) into (+ (exp (/ 1 im)) (exp (- (/ 1 im)))) * [misc]approximate: Taking taylor expansion of (+ (exp (- (/ 1 (- im)))) (exp (/ 1 (- im)))) in (im) around 0 * [misc]taylor: Taking taylor expansion of (+ (exp (- (/ 1 (- im)))) (exp (/ 1 (- im)))) in im * [misc]taylor: Taking taylor expansion of (exp (- (/ 1 (- im)))) in im * [misc]taylor: Taking taylor expansion of (- (/ 1 (- im))) in im * [misc]taylor: Taking taylor expansion of (/ 1 (- im)) in im * [misc]taylor: Taking taylor expansion of (- im) in im * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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) into 1 * [misc]backup-simplify: Simplify (exp (- (/ 1 (- im)))) into (exp (/ 1 im)) * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- im))) in im * [misc]taylor: Taking taylor expansion of (/ 1 (- im)) in im * [misc]taylor: Taking taylor expansion of (- im) in im * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (exp (/ 1 (- im))) into (exp (/ -1 im)) * [misc]taylor: Taking taylor expansion of (+ (exp (- (/ 1 (- im)))) (exp (/ 1 (- im)))) in im * [misc]taylor: Taking taylor expansion of (exp (- (/ 1 (- im)))) in im * [misc]taylor: Taking taylor expansion of (- (/ 1 (- im))) in im * [misc]taylor: Taking taylor expansion of (/ 1 (- im)) in im * [misc]taylor: Taking taylor expansion of (- im) in im * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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) into 1 * [misc]backup-simplify: Simplify (exp (- (/ 1 (- im)))) into (exp (/ 1 im)) * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- im))) in im * [misc]taylor: Taking taylor expansion of (/ 1 (- im)) in im * [misc]taylor: Taking taylor expansion of (- im) in im * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (exp (/ 1 (- im))) into (exp (/ -1 im)) * [misc]backup-simplify: Simplify (+ (exp (/ 1 im)) (exp (/ -1 im))) into (+ (exp (/ 1 im)) (exp (/ -1 im))) * [misc]backup-simplify: Simplify (+ (exp (/ 1 im)) (exp (/ -1 im))) into (+ (exp (/ 1 im)) (exp (/ -1 im))) * [misc]backup-simplify: Simplify (+ 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 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 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 im)) (exp (/ -1 im))) into (+ (exp (/ 1 im)) (exp (/ -1 im))) * * * [misc]progress: simplifying alt 1 of 3 * [enter]simplify: Simplifying (* (* 0.5 (cos re)) (+ 2 (+ (sqr im) (* 1/12 (pow im 4))))) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (73 enodes) * [exit]simplify: Simplified to (* (fma 1/12 (pow im 4) (fma im im 2)) (* (cos re) 0.5)) * [misc]none: prog is (λ (re im) (* (fma 1/12 (pow im 4) (fma im im 2)) (* (cos re) 0.5))) * * * [misc]progress: simplifying alt 2 of 3 * [enter]simplify: Simplifying (* (* 0.5 (cos re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im))))) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (fma (exp (/ 1 im)) (* (cos re) 0.5) (/ (* (cos re) 0.5) (exp (/ 1 im)))) * [misc]none: prog is (λ (re im) (fma (exp (/ 1 im)) (* (cos re) 0.5) (/ (* (cos re) 0.5) (exp (/ 1 im))))) * * * [misc]progress: simplifying alt 3 of 3 * [enter]simplify: Simplifying (* (* 0.5 (cos re)) (+ (exp (/ 1 im)) (exp (/ -1 im)))) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * [exit]simplify: Simplified to (* (* (cos re) 0.5) (+ (exp (/ 1 im)) (exp (/ -1 im)))) * [misc]none: prog is (λ (re im) (* (* (cos re) 0.5) (+ (exp (/ 1 im)) (exp (/ -1 im))))) * [misc]progress: [Phase 3 of 3] Extracting. * [enter]simplify: Simplifying (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (175 enodes) * * [misc]simplify: iters left: 1 (239 enodes) * [exit]simplify: Simplified to (* (fma (exp im) (cos re) (/ (cos re) (exp im))) 0.5)