* [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 / 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 (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) in im * [misc]taylor: Taking taylor expansion of (* 0.5 (cos re)) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (cos re) in im * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]backup-simplify: Simplify (cos re) into (cos re) * [misc]backup-simplify: Simplify (sin re) into (sin re) * [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 (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) in re * [misc]taylor: Taking taylor expansion of (* 0.5 (cos re)) in re * [misc]taylor: Taking taylor expansion of 0.5 in re * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (cos re) in re * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (exp (- im)) (exp im)) in re * [misc]taylor: Taking taylor expansion of (exp (- im)) in re * [misc]taylor: Taking taylor expansion of (- im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (exp (- im)) into (exp (- im)) * [misc]taylor: Taking taylor expansion of (exp im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (exp im) into (exp im) * [misc]taylor: Taking taylor expansion of (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) in re * [misc]taylor: Taking taylor expansion of (* 0.5 (cos re)) in re * [misc]taylor: Taking taylor expansion of 0.5 in re * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (cos re) in re * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (exp (- im)) (exp im)) in re * [misc]taylor: Taking taylor expansion of (exp (- im)) in re * [misc]taylor: Taking taylor expansion of (- im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (exp (- im)) into (exp (- im)) * [misc]taylor: Taking taylor expansion of (exp im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (exp im) into (exp im) * [misc]backup-simplify: Simplify (* 0.5 1) into 0.5 * [misc]backup-simplify: Simplify (+ (exp (- im)) (exp im)) into (+ (exp im) (exp (- im))) * [misc]backup-simplify: Simplify (* 0.5 (+ (exp im) (exp (- im)))) into (* 0.5 (+ (exp im) (exp (- im)))) * [misc]taylor: Taking taylor expansion of (* 0.5 (+ (exp im) (exp (- im)))) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [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]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]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]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (* 0.5 2) into 1.0 * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- im)) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp im) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (* 0 (+ (exp im) (exp (- im))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (- 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 (+ (* 0.5 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp im) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (+ (* 0.5 (- 1/2)) (+ (* 0 0) (* 0 1))) into (- 0.25) * [misc]backup-simplify: Simplify (+ (* 0.5 0) (+ (* 0 0) (* (- 0.25) (+ (exp im) (exp (- im)))))) into (- (+ (* 0.25 (exp im)) (* 0.25 (exp (- im))))) * [misc]taylor: Taking taylor expansion of (- (+ (* 0.25 (exp im)) (* 0.25 (exp (- im))))) in im * [misc]taylor: Taking taylor expansion of (+ (* 0.25 (exp im)) (* 0.25 (exp (- im)))) in im * [misc]taylor: Taking taylor expansion of (* 0.25 (exp im)) in im * [misc]taylor: Taking taylor expansion of 0.25 in im * [misc]backup-simplify: Simplify 0.25 into 0.25 * [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 (* 0.25 (exp (- im))) in im * [misc]taylor: Taking taylor expansion of 0.25 in im * [misc]backup-simplify: Simplify 0.25 into 0.25 * [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]backup-simplify: Simplify (* 0.25 1) into 0.25 * [misc]backup-simplify: Simplify (* 0.25 1) into 0.25 * [misc]backup-simplify: Simplify (+ 0.25 0.25) into 0.5 * [misc]backup-simplify: Simplify (- 0.5) into (- 0.5) * [misc]backup-simplify: Simplify (- 0.5) into (- 0.5) * [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 (- 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 (+ 1/2 1/2) into 1 * [misc]backup-simplify: Simplify (+ (* 0.5 1) (+ (* 0 0) (* 0 2))) into 0.5 * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]backup-simplify: Simplify (+ (* 0.5 (sqr (* im 1))) (+ (* (- 0.5) (sqr (* 1 re))) 1.0)) into (- (+ (* 0.5 (sqr im)) 1.0) (* 0.5 (sqr re))) * [misc]approximate: Taking taylor expansion of (* (* 0.5 (cos (/ 1 re))) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (* (* 0.5 (cos (/ 1 re))) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in im * [misc]taylor: Taking taylor expansion of (* 0.5 (cos (/ 1 re))) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (cos (/ 1 re)) in im * [misc]taylor: Taking taylor expansion of (/ 1 re) in im * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]backup-simplify: Simplify (/ 1 re) into (/ 1 re) * [misc]backup-simplify: Simplify (cos (/ 1 re)) into (cos (/ 1 re)) * [misc]backup-simplify: Simplify (sin (/ 1 re)) into (sin (/ 1 re)) * [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 (* (* 0.5 (cos (/ 1 re))) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in re * [misc]taylor: Taking taylor expansion of (* 0.5 (cos (/ 1 re))) in re * [misc]taylor: Taking taylor expansion of 0.5 in re * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (cos (/ 1 re)) in re * [misc]taylor: Taking taylor expansion of (/ 1 re) in re * [misc]taylor: Taking taylor expansion of re in re * [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 (cos (/ 1 re)) into (cos (/ 1 re)) * [misc]taylor: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in re * [misc]taylor: Taking taylor expansion of (exp (- (/ 1 im))) in re * [misc]taylor: Taking taylor expansion of (- (/ 1 im)) in re * [misc]taylor: Taking taylor expansion of (/ 1 im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (/ 1 im) into (/ 1 im) * [misc]backup-simplify: Simplify (- (/ 1 im)) into (- (/ 1 im)) * [misc]backup-simplify: Simplify (- (/ 1 im)) into (- (/ 1 im)) * [misc]backup-simplify: Simplify (exp (- (/ 1 im))) into (exp (- (/ 1 im))) * [misc]taylor: Taking taylor expansion of (exp (/ 1 im)) in re * [misc]taylor: Taking taylor expansion of (/ 1 im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (/ 1 im) into (/ 1 im) * [misc]backup-simplify: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) * [misc]taylor: Taking taylor expansion of (* (* 0.5 (cos (/ 1 re))) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in re * [misc]taylor: Taking taylor expansion of (* 0.5 (cos (/ 1 re))) in re * [misc]taylor: Taking taylor expansion of 0.5 in re * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (cos (/ 1 re)) in re * [misc]taylor: Taking taylor expansion of (/ 1 re) in re * [misc]taylor: Taking taylor expansion of re in re * [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 (cos (/ 1 re)) into (cos (/ 1 re)) * [misc]taylor: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in re * [misc]taylor: Taking taylor expansion of (exp (- (/ 1 im))) in re * [misc]taylor: Taking taylor expansion of (- (/ 1 im)) in re * [misc]taylor: Taking taylor expansion of (/ 1 im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (/ 1 im) into (/ 1 im) * [misc]backup-simplify: Simplify (- (/ 1 im)) into (- (/ 1 im)) * [misc]backup-simplify: Simplify (- (/ 1 im)) into (- (/ 1 im)) * [misc]backup-simplify: Simplify (exp (- (/ 1 im))) into (exp (- (/ 1 im))) * [misc]taylor: Taking taylor expansion of (exp (/ 1 im)) in re * [misc]taylor: Taking taylor expansion of (/ 1 im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (/ 1 im) into (/ 1 im) * [misc]backup-simplify: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) * [misc]backup-simplify: Simplify (* 0.5 (cos (/ 1 re))) into (* 0.5 (cos (/ 1 re))) * [misc]backup-simplify: Simplify (+ (exp (- (/ 1 im))) (exp (/ 1 im))) into (+ (exp (/ 1 im)) (exp (- (/ 1 im)))) * [misc]backup-simplify: Simplify (* (* 0.5 (cos (/ 1 re))) (+ (exp (/ 1 im)) (exp (- (/ 1 im))))) into (* 0.5 (* (cos (/ 1 re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im)))))) * [misc]taylor: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im)))))) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im))))) in im * [misc]taylor: Taking taylor expansion of (cos (/ 1 re)) in im * [misc]taylor: Taking taylor expansion of (/ 1 re) in im * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]backup-simplify: Simplify (/ 1 re) into (/ 1 re) * [misc]backup-simplify: Simplify (cos (/ 1 re)) into (cos (/ 1 re)) * [misc]backup-simplify: Simplify (sin (/ 1 re)) into (sin (/ 1 re)) * [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 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))) 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]backup-simplify: Simplify (* (cos (/ 1 re)) 1) into (cos (/ 1 re)) * [misc]backup-simplify: Simplify (* (sin (/ 1 re)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1 re)) 0) into (cos (/ 1 re)) * [misc]backup-simplify: Simplify (+ (exp (/ 1 im)) (exp (- (/ 1 im)))) into (+ (exp (/ 1 im)) (exp (- (/ 1 im)))) * [misc]backup-simplify: Simplify (* (cos (/ 1 re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im))))) into (* (cos (/ 1 re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im))))) * [misc]backup-simplify: Simplify (* 0.5 (* (cos (/ 1 re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im)))))) into (* 0.5 (* (cos (/ 1 re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im)))))) * [misc]backup-simplify: Simplify (* 0.5 (* (cos (/ 1 re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im)))))) into (* 0.5 (* (cos (/ 1 re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im)))))) * [misc]backup-simplify: Simplify (- (/ 1 im)) into (- (/ 1 im)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (/ 1 im))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (* 0 (cos (/ 1 re)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 0.5 (cos (/ 1 re))) 0) (* 0 (+ (exp (/ 1 im)) (exp (- (/ 1 im)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 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 (+ (* (cos (/ 1 re)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 re)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 re)) 0) (* 0 (+ (exp (/ 1 im)) (exp (- (/ 1 im)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (* 0 (* (cos (/ 1 re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 1 im)) into (- (/ 1 im)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (/ 1 im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (cos (/ 1 re))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 0.5 (cos (/ 1 re))) 0) (+ (* 0 0) (* 0 (+ (exp (/ 1 im)) (exp (- (/ 1 im))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [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 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 re)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 re)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 re)) 0) (+ (* 0 0) (* 0 (+ (exp (/ 1 im)) (exp (- (/ 1 im))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* (cos (/ 1 re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 1 im)) into (- (/ 1 im)) * [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 (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)) (* 0 (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (/ 1 im))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)) (* 0 (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 re)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 0.5 (cos (/ 1 re))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (exp (/ 1 im)) (exp (- (/ 1 im)))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 0.5 (* (cos (/ 1 re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im)))))) into (* 0.5 (* (cos (/ 1 re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im)))))) * [misc]approximate: Taking taylor expansion of (* (* 0.5 (cos (/ 1 (- re)))) (+ (exp (- (/ 1 (- im)))) (exp (/ 1 (- im))))) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (* (* 0.5 (cos (/ 1 (- re)))) (+ (exp (- (/ 1 (- im)))) (exp (/ 1 (- im))))) in im * [misc]taylor: Taking taylor expansion of (* 0.5 (cos (/ 1 (- re)))) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- re))) in im * [misc]taylor: Taking taylor expansion of (/ 1 (- re)) in im * [misc]taylor: Taking taylor expansion of (- re) in im * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]backup-simplify: Simplify (- re) into (- re) * [misc]backup-simplify: Simplify (- re) into (- re) * [misc]backup-simplify: Simplify (/ 1 (- re)) into (/ -1 re) * [misc]backup-simplify: Simplify (cos (/ -1 re)) into (cos (/ -1 re)) * [misc]backup-simplify: Simplify (sin (/ -1 re)) into (sin (/ -1 re)) * [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 (* (* 0.5 (cos (/ 1 (- re)))) (+ (exp (- (/ 1 (- im)))) (exp (/ 1 (- im))))) in re * [misc]taylor: Taking taylor expansion of (* 0.5 (cos (/ 1 (- re)))) in re * [misc]taylor: Taking taylor expansion of 0.5 in re * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- re))) in re * [misc]taylor: Taking taylor expansion of (/ 1 (- re)) in re * [misc]taylor: Taking taylor expansion of (- re) in re * [misc]taylor: Taking taylor expansion of re in re * [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 (cos (/ 1 (- re))) into (cos (/ -1 re)) * [misc]taylor: Taking taylor expansion of (+ (exp (- (/ 1 (- im)))) (exp (/ 1 (- im)))) in re * [misc]taylor: Taking taylor expansion of (exp (- (/ 1 (- im)))) in re * [misc]taylor: Taking taylor expansion of (- (/ 1 (- im))) in re * [misc]taylor: Taking taylor expansion of (/ 1 (- im)) in re * [misc]taylor: Taking taylor expansion of (- im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (/ 1 (- im)) into (/ -1 im) * [misc]backup-simplify: Simplify (- (/ -1 im)) into (/ 1 im) * [misc]backup-simplify: Simplify (- (/ -1 im)) into (/ 1 im) * [misc]backup-simplify: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- im))) in re * [misc]taylor: Taking taylor expansion of (/ 1 (- im)) in re * [misc]taylor: Taking taylor expansion of (- im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (/ 1 (- im)) into (/ -1 im) * [misc]backup-simplify: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) * [misc]taylor: Taking taylor expansion of (* (* 0.5 (cos (/ 1 (- re)))) (+ (exp (- (/ 1 (- im)))) (exp (/ 1 (- im))))) in re * [misc]taylor: Taking taylor expansion of (* 0.5 (cos (/ 1 (- re)))) in re * [misc]taylor: Taking taylor expansion of 0.5 in re * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- re))) in re * [misc]taylor: Taking taylor expansion of (/ 1 (- re)) in re * [misc]taylor: Taking taylor expansion of (- re) in re * [misc]taylor: Taking taylor expansion of re in re * [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 (cos (/ 1 (- re))) into (cos (/ -1 re)) * [misc]taylor: Taking taylor expansion of (+ (exp (- (/ 1 (- im)))) (exp (/ 1 (- im)))) in re * [misc]taylor: Taking taylor expansion of (exp (- (/ 1 (- im)))) in re * [misc]taylor: Taking taylor expansion of (- (/ 1 (- im))) in re * [misc]taylor: Taking taylor expansion of (/ 1 (- im)) in re * [misc]taylor: Taking taylor expansion of (- im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (/ 1 (- im)) into (/ -1 im) * [misc]backup-simplify: Simplify (- (/ -1 im)) into (/ 1 im) * [misc]backup-simplify: Simplify (- (/ -1 im)) into (/ 1 im) * [misc]backup-simplify: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- im))) in re * [misc]taylor: Taking taylor expansion of (/ 1 (- im)) in re * [misc]taylor: Taking taylor expansion of (- im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (/ 1 (- im)) into (/ -1 im) * [misc]backup-simplify: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) * [misc]backup-simplify: Simplify (* 0.5 (cos (/ -1 re))) into (* 0.5 (cos (/ -1 re))) * [misc]backup-simplify: Simplify (+ (exp (/ 1 im)) (exp (/ -1 im))) into (+ (exp (/ 1 im)) (exp (/ -1 im))) * [misc]backup-simplify: Simplify (* (* 0.5 (cos (/ -1 re))) (+ (exp (/ 1 im)) (exp (/ -1 im)))) into (* 0.5 (* (cos (/ -1 re)) (+ (exp (/ 1 im)) (exp (/ -1 im))))) * [misc]taylor: Taking taylor expansion of (* 0.5 (* (cos (/ -1 re)) (+ (exp (/ 1 im)) (exp (/ -1 im))))) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (* (cos (/ -1 re)) (+ (exp (/ 1 im)) (exp (/ -1 im)))) in im * [misc]taylor: Taking taylor expansion of (cos (/ -1 re)) in im * [misc]taylor: Taking taylor expansion of (/ -1 re) in im * [misc]taylor: Taking taylor expansion of -1 in im * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]backup-simplify: Simplify (/ -1 re) into (/ -1 re) * [misc]backup-simplify: Simplify (cos (/ -1 re)) into (cos (/ -1 re)) * [misc]backup-simplify: Simplify (sin (/ -1 re)) into (sin (/ -1 re)) * [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 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)) in im * [misc]taylor: Taking taylor expansion of (/ -1 im) in im * [misc]taylor: Taking taylor expansion of -1 in im * [misc]backup-simplify: Simplify -1 into -1 * [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 (* (cos (/ -1 re)) 1) into (cos (/ -1 re)) * [misc]backup-simplify: Simplify (* (sin (/ -1 re)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1 re)) 0) into (cos (/ -1 re)) * [misc]backup-simplify: Simplify (+ (exp (/ 1 im)) (exp (/ -1 im))) into (+ (exp (/ 1 im)) (exp (/ -1 im))) * [misc]backup-simplify: Simplify (* (cos (/ -1 re)) (+ (exp (/ 1 im)) (exp (/ -1 im)))) into (* (cos (/ -1 re)) (+ (exp (/ 1 im)) (exp (/ -1 im)))) * [misc]backup-simplify: Simplify (* 0.5 (* (cos (/ -1 re)) (+ (exp (/ 1 im)) (exp (/ -1 im))))) into (* 0.5 (* (cos (/ -1 re)) (+ (exp (/ 1 im)) (exp (/ -1 im))))) * [misc]backup-simplify: Simplify (* 0.5 (* (cos (/ -1 re)) (+ (exp (/ 1 im)) (exp (/ -1 im))))) into (* 0.5 (* (cos (/ -1 re)) (+ (exp (/ 1 im)) (exp (/ -1 im))))) * [misc]backup-simplify: Simplify (- (/ -1 im)) into (/ 1 im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (* 0 (cos (/ -1 re)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 0.5 (cos (/ -1 re))) 0) (* 0 (+ (exp (/ 1 im)) (exp (/ -1 im))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 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 (+ (* (cos (/ -1 re)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 re) (+ (* (/ -1 re) (/ 0 re)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 re)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 re)) 0) (* 0 (+ (exp (/ 1 im)) (exp (/ -1 im))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (* 0 (* (cos (/ -1 re)) (+ (exp (/ 1 im)) (exp (/ -1 im)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ -1 im)) into (/ 1 im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 im) (/ 0 (- im))) (* 0 (/ 0 (- im))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 im) (/ 0 (- im))) (* 0 (/ 0 (- im))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (cos (/ -1 re))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 0.5 (cos (/ -1 re))) 0) (+ (* 0 0) (* 0 (+ (exp (/ 1 im)) (exp (/ -1 im)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [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 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 re)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 re) (+ (* (/ -1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 re)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 re)) 0) (+ (* 0 0) (* 0 (+ (exp (/ 1 im)) (exp (/ -1 im)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* (cos (/ -1 re)) (+ (exp (/ 1 im)) (exp (/ -1 im))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ -1 im)) into (/ 1 im) * [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 (- im) into (- im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 im) (/ 0 (- im))) (* 0 (/ 0 (- im))) (* 0 (/ 0 (- im))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 im) (/ 0 (- im))) (* 0 (/ 0 (- im))) (* 0 (/ 0 (- im))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 re)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 0.5 (cos (/ -1 re))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (exp (/ 1 im)) (exp (/ -1 im))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 0.5 (* (cos (/ -1 re)) (+ (exp (/ 1 im)) (exp (/ -1 im))))) into (* 0.5 (* (cos (/ -1 re)) (+ (exp (/ 1 im)) (exp (/ -1 im))))) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 1 ] rewriting at (2) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 25 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 0.5 (sqr im)) 1.0) (* 0.5 (sqr re))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * [exit]simplify: Simplified to (fma (- (* im im) (sqr re)) 0.5 1.0) * * * * [misc]progress: [ 2 / 25 ] simplifiying candidate # * [enter]simplify: Simplifying (* 0.5 (* (cos (/ 1 re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * * [misc]simplify: iters left: 1 (249 enodes) * [exit]simplify: Simplified to (* 0.5 (fma (cos (/ 1 re)) (exp (/ 1 im)) (/ (cos (/ 1 re)) (exp (/ 1 im))))) * * * * [misc]progress: [ 3 / 25 ] simplifiying candidate # * [enter]simplify: Simplifying (* 0.5 (* (cos (/ -1 re)) (+ (exp (/ 1 im)) (exp (/ -1 im))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (77 enodes) * * [misc]simplify: iters left: 1 (93 enodes) * [exit]simplify: Simplified to (* (* 0.5 (cos (/ -1 re))) (+ (exp (/ -1 im)) (exp (/ 1 im)))) * * * * [misc]progress: [ 4 / 25 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (132 enodes) * * [misc]simplify: iters left: 1 (151 enodes) * [exit]simplify: Simplified to (expm1 (* (fma (exp im) (cos re) (/ (cos re) (exp im))) 0.5)) * [exit]simplify: Simplified to (expm1 (* (fma (exp im) (cos re) (/ (cos re) (exp im))) 0.5)) * * * * [misc]progress: [ 5 / 25 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (132 enodes) * * [misc]simplify: iters left: 1 (151 enodes) * [exit]simplify: Simplified to (log1p (* (fma (exp im) (cos re) (/ (cos re) (exp im))) 0.5)) * [exit]simplify: Simplified to (log1p (* (fma (exp im) (cos re) (/ (cos re) (exp im))) 0.5)) * * * * [misc]progress: [ 6 / 25 ] simplifiying candidate # * [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) * [exit]simplify: Simplified to (* (fma (exp im) (cos re) (/ (cos re) (exp im))) 0.5) * * * * [misc]progress: [ 7 / 25 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 25 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (* 0.5 (cos re))) (log (+ (exp (- im)) (exp im)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * [exit]simplify: Simplified to (+ (log (* (cos re) 0.5)) (log (+ (exp im) (exp (- im))))) * [exit]simplify: Simplified to (+ (log (* (cos re) 0.5)) (log (+ (exp im) (exp (- im))))) * * * * [misc]progress: [ 9 / 25 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (151 enodes) * * [misc]simplify: iters left: 1 (178 enodes) * [exit]simplify: Simplified to (log (* (fma (exp im) 0.5 (/ 0.5 (exp im))) (cos re))) * [exit]simplify: Simplified to (log (* (fma (exp im) 0.5 (/ 0.5 (exp im))) (cos re))) * * * * [misc]progress: [ 10 / 25 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (122 enodes) * * [misc]simplify: iters left: 2 (172 enodes) * * [misc]simplify: iters left: 1 (209 enodes) * [exit]simplify: Simplified to (pow (exp 0.5) (fma (exp im) (cos re) (/ (cos re) (exp im)))) * [exit]simplify: Simplified to (pow (exp 0.5) (fma (exp im) (cos re) (/ (cos re) (exp im)))) * * * * [misc]progress: [ 11 / 25 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cube (* 0.5 (cos re))) (cube (+ (exp (- im)) (exp im)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (252 enodes) * * [misc]simplify: iters left: 1 (495 enodes) * [exit]simplify: Simplified to (* (cube (+ (exp (- im)) (exp im))) (cube (* (cos re) 0.5))) * [exit]simplify: Simplified to (* (cube (+ (exp (- im)) (exp im))) (cube (* (cos re) 0.5))) * * * * [misc]progress: [ 12 / 25 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (132 enodes) * * [misc]simplify: iters left: 1 (151 enodes) * [exit]simplify: Simplified to (cbrt (* (fma (exp im) (cos re) (/ (cos re) (exp im))) 0.5)) * [exit]simplify: Simplified to (cbrt (* (fma (exp im) (cos re) (/ (cos re) (exp im))) 0.5)) * * * * [misc]progress: [ 13 / 25 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (88 enodes) * * [misc]simplify: iters left: 3 (206 enodes) * [exit]simplify: Simplified to (cube (* (fma (cos re) (exp im) (/ (cos re) (exp im))) 0.5)) * [exit]simplify: Simplified to (cube (* (fma (cos re) (exp im) (/ (cos re) (exp im))) 0.5)) * * * * [misc]progress: [ 14 / 25 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* 0.5 (cos re))) (cbrt (+ (exp (- im)) (exp im)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (exp im) (exp (- im)))) (cbrt (* (cos re) 0.5))) * [exit]simplify: Simplified to (* (cbrt (+ (exp im) (exp (- im)))) (cbrt (* (cos re) 0.5))) * * * * [misc]progress: [ 15 / 25 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (132 enodes) * * [misc]simplify: iters left: 1 (151 enodes) * [exit]simplify: Simplified to (sqrt (* (fma (exp im) (cos re) (/ (cos re) (exp im))) 0.5)) * [exit]simplify: Simplified to (sqrt (* (fma (exp im) (cos re) (/ (cos re) (exp im))) 0.5)) * * * * [misc]progress: [ 16 / 25 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* 0.5 (cos re))) (sqrt (+ (exp (- im)) (exp im)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (exp im) (exp (- im)))) (sqrt (* (cos re) 0.5))) * [exit]simplify: Simplified to (* (sqrt (+ (exp im) (exp (- im)))) (sqrt (* (cos re) 0.5))) * * * * [misc]progress: [ 17 / 25 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 25 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* 0.5 (cos re)) (exp (- im))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (/ 0.5 (/ (exp im) (cos re))) * [exit]simplify: Simplified to (/ 0.5 (/ (exp im) (cos re))) * [enter]simplify: Simplifying (* (* 0.5 (cos re)) (exp im)) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (19 enodes) * [exit]simplify: Simplified to (* (* (cos re) 0.5) (exp im)) * [exit]simplify: Simplified to (* (* (cos re) 0.5) (exp im)) * * * * [misc]progress: [ 19 / 25 ] simplifiying candidate # * [enter]simplify: Simplifying (* (exp (- im)) (* 0.5 (cos re))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * [exit]simplify: Simplified to (* (cos re) (/ 0.5 (exp im))) * [exit]simplify: Simplified to (* (cos re) (/ 0.5 (exp im))) * [enter]simplify: Simplifying (* (exp im) (* 0.5 (cos re))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (19 enodes) * [exit]simplify: Simplified to (* 0.5 (* (exp im) (cos re))) * [exit]simplify: Simplified to (* 0.5 (* (exp im) (cos re))) * * * * [misc]progress: [ 20 / 25 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* 0.5 (cos re)) 1) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (* 0.5 (cos re)) * [exit]simplify: Simplified to (* 0.5 (cos re)) * * * * [misc]progress: [ 21 / 25 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* 0.5 (cos re)) 1) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (* 0.5 (cos re)) * [exit]simplify: Simplified to (* 0.5 (cos re)) * * * * [misc]progress: [ 22 / 25 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos re) (+ (exp (- im)) (exp im))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (fma (cos re) (exp im) (/ (cos re) (exp im))) * [exit]simplify: Simplified to (fma (cos re) (exp im) (/ (cos re) (exp im))) * * * * [misc]progress: [ 23 / 25 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* 0.5 (cos re)) (- (pow (exp (- im)) 3) (pow (exp im) 3))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (87 enodes) * [exit]simplify: Simplified to (* (* (cos re) 0.5) (- (cube (exp (- im))) (cube (exp im)))) * [exit]simplify: Simplified to (* (* (cos re) 0.5) (- (cube (exp (- im))) (cube (exp im)))) * * * * [misc]progress: [ 24 / 25 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* 0.5 (cos re)) (- (sqr (exp (- im))) (sqr (exp im)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (191 enodes) * * [misc]simplify: iters left: 1 (377 enodes) * [exit]simplify: Simplified to (* (* 0.5 (cos re)) (* (+ (exp (- im)) (exp im)) (- (exp (- im)) (exp im)))) * [exit]simplify: Simplified to (* (* 0.5 (cos re)) (* (+ (exp (- im)) (exp im)) (- (exp (- im)) (exp im)))) * * * * [misc]progress: [ 25 / 25 ] simplifiying candidate # * * * [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: [ 1 / 3 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (* (cos re) (/ 0.5 (exp im))) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (* (cos re) (/ 0.5 (exp im))) in im * [misc]taylor: Taking taylor expansion of (cos re) in im * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]backup-simplify: Simplify (cos re) into (cos re) * [misc]backup-simplify: Simplify (sin re) into (sin re) * [misc]taylor: Taking taylor expansion of (/ 0.5 (exp im)) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [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 (/ 0.5 1) into 0.5 * [misc]taylor: Taking taylor expansion of (* (cos re) (/ 0.5 (exp im))) in re * [misc]taylor: Taking taylor expansion of (cos re) in re * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 0.5 (exp im)) in re * [misc]taylor: Taking taylor expansion of 0.5 in re * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (exp im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (exp im) into (exp im) * [misc]backup-simplify: Simplify (/ 0.5 (exp im)) into (/ 0.5 (exp im)) * [misc]taylor: Taking taylor expansion of (* (cos re) (/ 0.5 (exp im))) in re * [misc]taylor: Taking taylor expansion of (cos re) in re * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 0.5 (exp im)) in re * [misc]taylor: Taking taylor expansion of 0.5 in re * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (exp im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (exp im) into (exp im) * [misc]backup-simplify: Simplify (/ 0.5 (exp im)) into (/ 0.5 (exp im)) * [misc]backup-simplify: Simplify (* 1 (/ 0.5 (exp im))) into (/ 0.5 (exp im)) * [misc]taylor: Taking taylor expansion of (/ 0.5 (exp im)) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [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 (/ 0.5 1) into 0.5 * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]backup-simplify: Simplify (* (exp im) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp im)) (+ (* (/ 0.5 (exp im)) (/ 0 (exp im))))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 0.5 (exp im)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 0.5 (/ 1 1)))) into (- 0.5) * [misc]backup-simplify: Simplify (- 0.5) into (- 0.5) * [misc]backup-simplify: Simplify (* (exp im) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp im)) (+ (* (/ 0.5 (exp im)) (/ 0 (exp im))) (* 0 (/ 0 (exp im))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* (- 1/2) (/ 0.5 (exp im))))) into (- (* 0.25 (/ 1 (exp im)))) * [misc]taylor: Taking taylor expansion of (- (* 0.25 (/ 1 (exp im)))) in im * [misc]taylor: Taking taylor expansion of (* 0.25 (/ 1 (exp im))) in im * [misc]taylor: Taking taylor expansion of 0.25 in im * [misc]backup-simplify: Simplify 0.25 into 0.25 * [misc]taylor: Taking taylor expansion of (/ 1 (exp im)) in im * [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 1 * [misc]backup-simplify: Simplify (* 0.25 1) into 0.25 * [misc]backup-simplify: Simplify (- 0.25) into (- 0.25) * [misc]backup-simplify: Simplify (- 0.25) into (- 0.25) * [misc]backup-simplify: Simplify (+ (* (- 0.25) (sqr (* 1 re))) (+ (* (- 0.5) (* im 1)) 0.5)) into (- 0.5 (+ (* 0.5 im) (* 0.25 (sqr re)))) * [misc]approximate: Taking taylor expansion of (* (cos (/ 1 re)) (/ 0.5 (exp (/ 1 im)))) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 re)) (/ 0.5 (exp (/ 1 im)))) in im * [misc]taylor: Taking taylor expansion of (cos (/ 1 re)) in im * [misc]taylor: Taking taylor expansion of (/ 1 re) in im * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]backup-simplify: Simplify (/ 1 re) into (/ 1 re) * [misc]backup-simplify: Simplify (cos (/ 1 re)) into (cos (/ 1 re)) * [misc]backup-simplify: Simplify (sin (/ 1 re)) into (sin (/ 1 re)) * [misc]taylor: Taking taylor expansion of (/ 0.5 (exp (/ 1 im))) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [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 (/ 0.5 (exp (/ 1 im))) into (/ 0.5 (exp (/ 1 im))) * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 re)) (/ 0.5 (exp (/ 1 im)))) in re * [misc]taylor: Taking taylor expansion of (cos (/ 1 re)) in re * [misc]taylor: Taking taylor expansion of (/ 1 re) in re * [misc]taylor: Taking taylor expansion of re in re * [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 (cos (/ 1 re)) into (cos (/ 1 re)) * [misc]taylor: Taking taylor expansion of (/ 0.5 (exp (/ 1 im))) in re * [misc]taylor: Taking taylor expansion of 0.5 in re * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (exp (/ 1 im)) in re * [misc]taylor: Taking taylor expansion of (/ 1 im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (/ 1 im) into (/ 1 im) * [misc]backup-simplify: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) * [misc]backup-simplify: Simplify (/ 0.5 (exp (/ 1 im))) into (/ 0.5 (exp (/ 1 im))) * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 re)) (/ 0.5 (exp (/ 1 im)))) in re * [misc]taylor: Taking taylor expansion of (cos (/ 1 re)) in re * [misc]taylor: Taking taylor expansion of (/ 1 re) in re * [misc]taylor: Taking taylor expansion of re in re * [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 (cos (/ 1 re)) into (cos (/ 1 re)) * [misc]taylor: Taking taylor expansion of (/ 0.5 (exp (/ 1 im))) in re * [misc]taylor: Taking taylor expansion of 0.5 in re * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (exp (/ 1 im)) in re * [misc]taylor: Taking taylor expansion of (/ 1 im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (/ 1 im) into (/ 1 im) * [misc]backup-simplify: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) * [misc]backup-simplify: Simplify (/ 0.5 (exp (/ 1 im))) into (/ 0.5 (exp (/ 1 im))) * [misc]backup-simplify: Simplify (* (cos (/ 1 re)) (/ 0.5 (exp (/ 1 im)))) into (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) * [misc]taylor: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in im * [misc]taylor: Taking taylor expansion of (cos (/ 1 re)) in im * [misc]taylor: Taking taylor expansion of (/ 1 re) in im * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]backup-simplify: Simplify (/ 1 re) into (/ 1 re) * [misc]backup-simplify: Simplify (cos (/ 1 re)) into (cos (/ 1 re)) * [misc]backup-simplify: Simplify (sin (/ 1 re)) into (sin (/ 1 re)) * [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 (* (cos (/ 1 re)) 1) into (cos (/ 1 re)) * [misc]backup-simplify: Simplify (* (sin (/ 1 re)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1 re)) 0) into (cos (/ 1 re)) * [misc]backup-simplify: Simplify (/ (cos (/ 1 re)) (exp (/ 1 im))) into (/ (cos (/ 1 re)) (exp (/ 1 im))) * [misc]backup-simplify: Simplify (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) into (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) * [misc]backup-simplify: Simplify (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) into (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ 1 im))) (+ (* (/ 0.5 (exp (/ 1 im))) (/ 0 (exp (/ 1 im)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 re)) 0) (* 0 (/ 0.5 (exp (/ 1 im))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [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 (+ (* (cos (/ 1 re)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 re)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ 1 im))) (+ (* (/ (cos (/ 1 re)) (exp (/ 1 im))) (/ 0 (exp (/ 1 im)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (* 0 (/ (cos (/ 1 re)) (exp (/ 1 im))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ 1 im))) (+ (* (/ 0.5 (exp (/ 1 im))) (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 re)) 0) (+ (* 0 0) (* 0 (/ 0.5 (exp (/ 1 im)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [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 (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 re)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 re)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ 1 im))) (+ (* (/ (cos (/ 1 re)) (exp (/ 1 im))) (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ (cos (/ 1 re)) (exp (/ 1 im)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)) (* 0 (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ 1 im))) (+ (* (/ 0.5 (exp (/ 1 im))) (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 re)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 0.5 (exp (/ 1 im))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) into (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) * [misc]approximate: Taking taylor expansion of (* (cos (/ 1 (- re))) (/ 0.5 (exp (/ 1 (- im))))) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 (- re))) (/ 0.5 (exp (/ 1 (- im))))) in im * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- re))) in im * [misc]taylor: Taking taylor expansion of (/ 1 (- re)) in im * [misc]taylor: Taking taylor expansion of (- re) in im * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]backup-simplify: Simplify (- re) into (- re) * [misc]backup-simplify: Simplify (- re) into (- re) * [misc]backup-simplify: Simplify (/ 1 (- re)) into (/ -1 re) * [misc]backup-simplify: Simplify (cos (/ -1 re)) into (cos (/ -1 re)) * [misc]backup-simplify: Simplify (sin (/ -1 re)) into (sin (/ -1 re)) * [misc]taylor: Taking taylor expansion of (/ 0.5 (exp (/ 1 (- im)))) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [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 (/ 0.5 (exp (/ -1 im))) into (/ 0.5 (exp (/ -1 im))) * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 (- re))) (/ 0.5 (exp (/ 1 (- im))))) in re * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- re))) in re * [misc]taylor: Taking taylor expansion of (/ 1 (- re)) in re * [misc]taylor: Taking taylor expansion of (- re) in re * [misc]taylor: Taking taylor expansion of re in re * [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 (cos (/ 1 (- re))) into (cos (/ -1 re)) * [misc]taylor: Taking taylor expansion of (/ 0.5 (exp (/ 1 (- im)))) in re * [misc]taylor: Taking taylor expansion of 0.5 in re * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- im))) in re * [misc]taylor: Taking taylor expansion of (/ 1 (- im)) in re * [misc]taylor: Taking taylor expansion of (- im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (/ 1 (- im)) into (/ -1 im) * [misc]backup-simplify: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) * [misc]backup-simplify: Simplify (/ 0.5 (exp (/ -1 im))) into (/ 0.5 (exp (/ -1 im))) * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 (- re))) (/ 0.5 (exp (/ 1 (- im))))) in re * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- re))) in re * [misc]taylor: Taking taylor expansion of (/ 1 (- re)) in re * [misc]taylor: Taking taylor expansion of (- re) in re * [misc]taylor: Taking taylor expansion of re in re * [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 (cos (/ 1 (- re))) into (cos (/ -1 re)) * [misc]taylor: Taking taylor expansion of (/ 0.5 (exp (/ 1 (- im)))) in re * [misc]taylor: Taking taylor expansion of 0.5 in re * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- im))) in re * [misc]taylor: Taking taylor expansion of (/ 1 (- im)) in re * [misc]taylor: Taking taylor expansion of (- im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (/ 1 (- im)) into (/ -1 im) * [misc]backup-simplify: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) * [misc]backup-simplify: Simplify (/ 0.5 (exp (/ -1 im))) into (/ 0.5 (exp (/ -1 im))) * [misc]backup-simplify: Simplify (* (cos (/ -1 re)) (/ 0.5 (exp (/ -1 im)))) into (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) * [misc]taylor: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in im * [misc]taylor: Taking taylor expansion of (cos (/ -1 re)) in im * [misc]taylor: Taking taylor expansion of (/ -1 re) in im * [misc]taylor: Taking taylor expansion of -1 in im * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]backup-simplify: Simplify (/ -1 re) into (/ -1 re) * [misc]backup-simplify: Simplify (cos (/ -1 re)) into (cos (/ -1 re)) * [misc]backup-simplify: Simplify (sin (/ -1 re)) into (sin (/ -1 re)) * [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 in im * [misc]backup-simplify: Simplify -1 into -1 * [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 (* (cos (/ -1 re)) 1) into (cos (/ -1 re)) * [misc]backup-simplify: Simplify (* (sin (/ -1 re)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1 re)) 0) into (cos (/ -1 re)) * [misc]backup-simplify: Simplify (/ (cos (/ -1 re)) (exp (/ -1 im))) into (/ (cos (/ -1 re)) (exp (/ -1 im))) * [misc]backup-simplify: Simplify (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) into (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) * [misc]backup-simplify: Simplify (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) into (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ -1 im))) (+ (* (/ 0.5 (exp (/ -1 im))) (/ 0 (exp (/ -1 im)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 re)) 0) (* 0 (/ 0.5 (exp (/ -1 im))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [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 (+ (* (cos (/ -1 re)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 re) (+ (* (/ -1 re) (/ 0 re)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 re)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ -1 im))) (+ (* (/ (cos (/ -1 re)) (exp (/ -1 im))) (/ 0 (exp (/ -1 im)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (* 0 (/ (cos (/ -1 re)) (exp (/ -1 im))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 im) (/ 0 (- im))) (* 0 (/ 0 (- im))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ -1 im))) (+ (* (/ 0.5 (exp (/ -1 im))) (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 re)) 0) (+ (* 0 0) (* 0 (/ 0.5 (exp (/ -1 im)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [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 (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 re)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 re) (+ (* (/ -1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 re)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ -1 im))) (+ (* (/ (cos (/ -1 re)) (exp (/ -1 im))) (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ (cos (/ -1 re)) (exp (/ -1 im)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 im) (/ 0 (- im))) (* 0 (/ 0 (- im))) (* 0 (/ 0 (- im))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ -1 im))) (+ (* (/ 0.5 (exp (/ -1 im))) (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 re)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 0.5 (exp (/ -1 im))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) into (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) * * * * [misc]progress: [ 2 / 3 ] generating series at (2 1 2) * [misc]approximate: Taking taylor expansion of (/ 0.5 (exp im)) in (im) around 0 * [misc]taylor: Taking taylor expansion of (/ 0.5 (exp im)) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [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 (/ 0.5 1) into 0.5 * [misc]taylor: Taking taylor expansion of (/ 0.5 (exp im)) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [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 (/ 0.5 1) into 0.5 * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 0.5 (/ 1 1)))) into (- 0.5) * [misc]backup-simplify: Simplify (- 0.5) into (- 0.5) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 0.5 (/ 1/2 1)) (* (- 0.5) (/ 1 1)))) into 0.25 * [misc]backup-simplify: Simplify 0.25 into 0.25 * [misc]backup-simplify: Simplify (+ (* 0.25 (sqr im)) (+ (* (- 0.5) im) 0.5)) into (- (+ (* 0.25 (sqr im)) 0.5) (* 0.5 im)) * [misc]approximate: Taking taylor expansion of (/ 0.5 (exp (/ 1 im))) in (im) around 0 * [misc]taylor: Taking taylor expansion of (/ 0.5 (exp (/ 1 im))) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [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 (/ 0.5 (exp (/ 1 im))) into (/ 0.5 (exp (/ 1 im))) * [misc]taylor: Taking taylor expansion of (/ 0.5 (exp (/ 1 im))) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [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 (/ 0.5 (exp (/ 1 im))) into (/ 0.5 (exp (/ 1 im))) * [misc]backup-simplify: Simplify (/ 0.5 (exp (/ 1 im))) into (/ 0.5 (exp (/ 1 im))) * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ 1 im))) (+ (* (/ 0.5 (exp (/ 1 im))) (/ 0 (exp (/ 1 im)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ 1 im))) (+ (* (/ 0.5 (exp (/ 1 im))) (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ 1 im))) (+ (* (/ 0.5 (exp (/ 1 im))) (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ 1 im))) (+ (* (/ 0.5 (exp (/ 1 im))) (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ 1 im))) (+ (* (/ 0.5 (exp (/ 1 im))) (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ 1 im))) (+ (* (/ 0.5 (exp (/ 1 im))) (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 0.5 (exp (/ 1 im))) into (/ 0.5 (exp (/ 1 im))) * [misc]approximate: Taking taylor expansion of (/ 0.5 (exp (/ 1 (- im)))) in (im) around 0 * [misc]taylor: Taking taylor expansion of (/ 0.5 (exp (/ 1 (- im)))) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [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 (/ 0.5 (exp (/ -1 im))) into (/ 0.5 (exp (/ -1 im))) * [misc]taylor: Taking taylor expansion of (/ 0.5 (exp (/ 1 (- im)))) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [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 (/ 0.5 (exp (/ -1 im))) into (/ 0.5 (exp (/ -1 im))) * [misc]backup-simplify: Simplify (/ 0.5 (exp (/ -1 im))) into (/ 0.5 (exp (/ -1 im))) * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ -1 im))) (+ (* (/ 0.5 (exp (/ -1 im))) (/ 0 (exp (/ -1 im)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ -1 im))) (+ (* (/ 0.5 (exp (/ -1 im))) (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ -1 im))) (+ (* (/ 0.5 (exp (/ -1 im))) (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ -1 im))) (+ (* (/ 0.5 (exp (/ -1 im))) (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ -1 im))) (+ (* (/ 0.5 (exp (/ -1 im))) (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ -1 im))) (+ (* (/ 0.5 (exp (/ -1 im))) (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 0.5 (exp (/ -1 im))) into (/ 0.5 (exp (/ -1 im))) * * * * [misc]progress: [ 3 / 3 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (+ (* (cos re) (/ 0.5 (exp im))) (* (exp im) (* 0.5 (cos re)))) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (+ (* (cos re) (/ 0.5 (exp im))) (* (exp im) (* 0.5 (cos re)))) in im * [misc]taylor: Taking taylor expansion of (* (cos re) (/ 0.5 (exp im))) in im * [misc]taylor: Taking taylor expansion of (cos re) in im * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]backup-simplify: Simplify (cos re) into (cos re) * [misc]backup-simplify: Simplify (sin re) into (sin re) * [misc]taylor: Taking taylor expansion of (/ 0.5 (exp im)) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [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 (/ 0.5 1) into 0.5 * [misc]taylor: Taking taylor expansion of (* (exp im) (* 0.5 (cos re))) in im * [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 (* 0.5 (cos re)) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (cos re) in im * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]backup-simplify: Simplify (cos re) into (cos re) * [misc]backup-simplify: Simplify (sin re) into (sin re) * [misc]taylor: Taking taylor expansion of (+ (* (cos re) (/ 0.5 (exp im))) (* (exp im) (* 0.5 (cos re)))) in re * [misc]taylor: Taking taylor expansion of (* (cos re) (/ 0.5 (exp im))) in re * [misc]taylor: Taking taylor expansion of (cos re) in re * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 0.5 (exp im)) in re * [misc]taylor: Taking taylor expansion of 0.5 in re * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (exp im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (exp im) into (exp im) * [misc]backup-simplify: Simplify (/ 0.5 (exp im)) into (/ 0.5 (exp im)) * [misc]taylor: Taking taylor expansion of (* (exp im) (* 0.5 (cos re))) in re * [misc]taylor: Taking taylor expansion of (exp im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (exp im) into (exp im) * [misc]taylor: Taking taylor expansion of (* 0.5 (cos re)) in re * [misc]taylor: Taking taylor expansion of 0.5 in re * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (cos re) in re * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* (cos re) (/ 0.5 (exp im))) (* (exp im) (* 0.5 (cos re)))) in re * [misc]taylor: Taking taylor expansion of (* (cos re) (/ 0.5 (exp im))) in re * [misc]taylor: Taking taylor expansion of (cos re) in re * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 0.5 (exp im)) in re * [misc]taylor: Taking taylor expansion of 0.5 in re * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (exp im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (exp im) into (exp im) * [misc]backup-simplify: Simplify (/ 0.5 (exp im)) into (/ 0.5 (exp im)) * [misc]taylor: Taking taylor expansion of (* (exp im) (* 0.5 (cos re))) in re * [misc]taylor: Taking taylor expansion of (exp im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (exp im) into (exp im) * [misc]taylor: Taking taylor expansion of (* 0.5 (cos re)) in re * [misc]taylor: Taking taylor expansion of 0.5 in re * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (cos re) in re * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 (/ 0.5 (exp im))) into (/ 0.5 (exp im)) * [misc]backup-simplify: Simplify (* 0.5 1) into 0.5 * [misc]backup-simplify: Simplify (* (exp im) 0.5) into (* 0.5 (exp im)) * [misc]backup-simplify: Simplify (+ (/ 0.5 (exp im)) (* 0.5 (exp im))) into (+ (* 0.5 (exp im)) (* 0.5 (/ 1 (exp im)))) * [misc]taylor: Taking taylor expansion of (+ (* 0.5 (exp im)) (* 0.5 (/ 1 (exp im)))) in im * [misc]taylor: Taking taylor expansion of (* 0.5 (exp im)) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [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 (* 0.5 (/ 1 (exp im))) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (/ 1 (exp im)) in im * [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 1 * [misc]backup-simplify: Simplify (* 0.5 1) into 0.5 * [misc]backup-simplify: Simplify (* 0.5 1) into 0.5 * [misc]backup-simplify: Simplify (+ 0.5 0.5) into 1.0 * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* (exp im) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp im)) (+ (* (/ 0.5 (exp im)) (/ 0 (exp im))))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 0.5 (exp im)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (* (exp im) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp im) 0) (* 0 0.5)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (+ (* 0.5 1) (* 0 1)) into 0.5 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 1 1)))) into -1 * [misc]backup-simplify: Simplify (+ (* 0.5 -1) (* 0 1)) into (- 0.5) * [misc]backup-simplify: Simplify (+ 0.5 (- 0.5)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp im) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp im)) (+ (* (/ 0.5 (exp im)) (/ 0 (exp im))) (* 0 (/ 0 (exp im))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* (- 1/2) (/ 0.5 (exp im))))) into (- (* 0.25 (/ 1 (exp im)))) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (+ (* 0.5 (- 1/2)) (+ (* 0 0) (* 0 1))) into (- 0.25) * [misc]backup-simplify: Simplify (* (exp im) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp im) (- 0.25)) (+ (* 0 0) (* 0 0.5))) into (- (* 0.25 (exp im))) * [misc]backup-simplify: Simplify (+ (- (* 0.25 (/ 1 (exp im)))) (- (* 0.25 (exp im)))) into (- (+ (* 0.25 (exp im)) (* 0.25 (/ 1 (exp im))))) * [misc]taylor: Taking taylor expansion of (- (+ (* 0.25 (exp im)) (* 0.25 (/ 1 (exp im))))) in im * [misc]taylor: Taking taylor expansion of (+ (* 0.25 (exp im)) (* 0.25 (/ 1 (exp im)))) in im * [misc]taylor: Taking taylor expansion of (* 0.25 (exp im)) in im * [misc]taylor: Taking taylor expansion of 0.25 in im * [misc]backup-simplify: Simplify 0.25 into 0.25 * [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 (* 0.25 (/ 1 (exp im))) in im * [misc]taylor: Taking taylor expansion of 0.25 in im * [misc]backup-simplify: Simplify 0.25 into 0.25 * [misc]taylor: Taking taylor expansion of (/ 1 (exp im)) in im * [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 1 * [misc]backup-simplify: Simplify (* 0.25 1) into 0.25 * [misc]backup-simplify: Simplify (* 0.25 1) into 0.25 * [misc]backup-simplify: Simplify (+ 0.25 0.25) into 0.5 * [misc]backup-simplify: Simplify (- 0.5) into (- 0.5) * [misc]backup-simplify: Simplify (- 0.5) into (- 0.5) * [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 (+ (* 0.5 1/2) (+ (* 0 1) (* 0 1))) into 0.25 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 1/2 1)) (* -1 (/ 1 1)))) into 1/2 * [misc]backup-simplify: Simplify (+ (* 0.5 1/2) (+ (* 0 -1) (* 0 1))) into 0.25 * [misc]backup-simplify: Simplify (+ 0.25 0.25) into 0.5 * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]backup-simplify: Simplify (+ (* 0.5 (sqr (* im 1))) (+ (* (- 0.5) (sqr (* 1 re))) 1.0)) into (- (+ (* 0.5 (sqr im)) 1.0) (* 0.5 (sqr re))) * [misc]approximate: Taking taylor expansion of (+ (* (cos (/ 1 re)) (/ 0.5 (exp (/ 1 im)))) (* (exp (/ 1 im)) (* 0.5 (cos (/ 1 re))))) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (+ (* (cos (/ 1 re)) (/ 0.5 (exp (/ 1 im)))) (* (exp (/ 1 im)) (* 0.5 (cos (/ 1 re))))) in im * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 re)) (/ 0.5 (exp (/ 1 im)))) in im * [misc]taylor: Taking taylor expansion of (cos (/ 1 re)) in im * [misc]taylor: Taking taylor expansion of (/ 1 re) in im * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]backup-simplify: Simplify (/ 1 re) into (/ 1 re) * [misc]backup-simplify: Simplify (cos (/ 1 re)) into (cos (/ 1 re)) * [misc]backup-simplify: Simplify (sin (/ 1 re)) into (sin (/ 1 re)) * [misc]taylor: Taking taylor expansion of (/ 0.5 (exp (/ 1 im))) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [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 (/ 0.5 (exp (/ 1 im))) into (/ 0.5 (exp (/ 1 im))) * [misc]taylor: Taking taylor expansion of (* (exp (/ 1 im)) (* 0.5 (cos (/ 1 re)))) 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 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 (* 0.5 (cos (/ 1 re))) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (cos (/ 1 re)) in im * [misc]taylor: Taking taylor expansion of (/ 1 re) in im * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]backup-simplify: Simplify (/ 1 re) into (/ 1 re) * [misc]backup-simplify: Simplify (cos (/ 1 re)) into (cos (/ 1 re)) * [misc]backup-simplify: Simplify (sin (/ 1 re)) into (sin (/ 1 re)) * [misc]taylor: Taking taylor expansion of (+ (* (cos (/ 1 re)) (/ 0.5 (exp (/ 1 im)))) (* (exp (/ 1 im)) (* 0.5 (cos (/ 1 re))))) in re * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 re)) (/ 0.5 (exp (/ 1 im)))) in re * [misc]taylor: Taking taylor expansion of (cos (/ 1 re)) in re * [misc]taylor: Taking taylor expansion of (/ 1 re) in re * [misc]taylor: Taking taylor expansion of re in re * [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 (cos (/ 1 re)) into (cos (/ 1 re)) * [misc]taylor: Taking taylor expansion of (/ 0.5 (exp (/ 1 im))) in re * [misc]taylor: Taking taylor expansion of 0.5 in re * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (exp (/ 1 im)) in re * [misc]taylor: Taking taylor expansion of (/ 1 im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (/ 1 im) into (/ 1 im) * [misc]backup-simplify: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) * [misc]backup-simplify: Simplify (/ 0.5 (exp (/ 1 im))) into (/ 0.5 (exp (/ 1 im))) * [misc]taylor: Taking taylor expansion of (* (exp (/ 1 im)) (* 0.5 (cos (/ 1 re)))) in re * [misc]taylor: Taking taylor expansion of (exp (/ 1 im)) in re * [misc]taylor: Taking taylor expansion of (/ 1 im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (/ 1 im) into (/ 1 im) * [misc]backup-simplify: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) * [misc]taylor: Taking taylor expansion of (* 0.5 (cos (/ 1 re))) in re * [misc]taylor: Taking taylor expansion of 0.5 in re * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (cos (/ 1 re)) in re * [misc]taylor: Taking taylor expansion of (/ 1 re) in re * [misc]taylor: Taking taylor expansion of re in re * [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 (cos (/ 1 re)) into (cos (/ 1 re)) * [misc]taylor: Taking taylor expansion of (+ (* (cos (/ 1 re)) (/ 0.5 (exp (/ 1 im)))) (* (exp (/ 1 im)) (* 0.5 (cos (/ 1 re))))) in re * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 re)) (/ 0.5 (exp (/ 1 im)))) in re * [misc]taylor: Taking taylor expansion of (cos (/ 1 re)) in re * [misc]taylor: Taking taylor expansion of (/ 1 re) in re * [misc]taylor: Taking taylor expansion of re in re * [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 (cos (/ 1 re)) into (cos (/ 1 re)) * [misc]taylor: Taking taylor expansion of (/ 0.5 (exp (/ 1 im))) in re * [misc]taylor: Taking taylor expansion of 0.5 in re * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (exp (/ 1 im)) in re * [misc]taylor: Taking taylor expansion of (/ 1 im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (/ 1 im) into (/ 1 im) * [misc]backup-simplify: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) * [misc]backup-simplify: Simplify (/ 0.5 (exp (/ 1 im))) into (/ 0.5 (exp (/ 1 im))) * [misc]taylor: Taking taylor expansion of (* (exp (/ 1 im)) (* 0.5 (cos (/ 1 re)))) in re * [misc]taylor: Taking taylor expansion of (exp (/ 1 im)) in re * [misc]taylor: Taking taylor expansion of (/ 1 im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (/ 1 im) into (/ 1 im) * [misc]backup-simplify: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) * [misc]taylor: Taking taylor expansion of (* 0.5 (cos (/ 1 re))) in re * [misc]taylor: Taking taylor expansion of 0.5 in re * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (cos (/ 1 re)) in re * [misc]taylor: Taking taylor expansion of (/ 1 re) in re * [misc]taylor: Taking taylor expansion of re in re * [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 (cos (/ 1 re)) into (cos (/ 1 re)) * [misc]backup-simplify: Simplify (* (cos (/ 1 re)) (/ 0.5 (exp (/ 1 im)))) into (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) * [misc]backup-simplify: Simplify (* 0.5 (cos (/ 1 re))) into (* 0.5 (cos (/ 1 re))) * [misc]backup-simplify: Simplify (* (exp (/ 1 im)) (* 0.5 (cos (/ 1 re)))) into (* 0.5 (* (exp (/ 1 im)) (cos (/ 1 re)))) * [misc]backup-simplify: Simplify (+ (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) (* 0.5 (* (exp (/ 1 im)) (cos (/ 1 re))))) into (+ (* 0.5 (* (exp (/ 1 im)) (cos (/ 1 re)))) (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im))))) * [misc]taylor: Taking taylor expansion of (+ (* 0.5 (* (exp (/ 1 im)) (cos (/ 1 re)))) (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im))))) in im * [misc]taylor: Taking taylor expansion of (* 0.5 (* (exp (/ 1 im)) (cos (/ 1 re)))) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (* (exp (/ 1 im)) (cos (/ 1 re))) 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 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 (cos (/ 1 re)) in im * [misc]taylor: Taking taylor expansion of (/ 1 re) in im * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]backup-simplify: Simplify (/ 1 re) into (/ 1 re) * [misc]backup-simplify: Simplify (cos (/ 1 re)) into (cos (/ 1 re)) * [misc]backup-simplify: Simplify (sin (/ 1 re)) into (sin (/ 1 re)) * [misc]taylor: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in im * [misc]taylor: Taking taylor expansion of (cos (/ 1 re)) in im * [misc]taylor: Taking taylor expansion of (/ 1 re) in im * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]backup-simplify: Simplify (/ 1 re) into (/ 1 re) * [misc]backup-simplify: Simplify (cos (/ 1 re)) into (cos (/ 1 re)) * [misc]backup-simplify: Simplify (sin (/ 1 re)) into (sin (/ 1 re)) * [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 (* (cos (/ 1 re)) 1) into (cos (/ 1 re)) * [misc]backup-simplify: Simplify (* (sin (/ 1 re)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1 re)) 0) into (cos (/ 1 re)) * [misc]backup-simplify: Simplify (/ (cos (/ 1 re)) (exp (/ 1 im))) into (/ (cos (/ 1 re)) (exp (/ 1 im))) * [misc]backup-simplify: Simplify (* (cos (/ 1 re)) 1) into (cos (/ 1 re)) * [misc]backup-simplify: Simplify (* (sin (/ 1 re)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1 re)) 0) into (cos (/ 1 re)) * [misc]backup-simplify: Simplify (* (exp (/ 1 im)) (cos (/ 1 re))) into (* (exp (/ 1 im)) (cos (/ 1 re))) * [misc]backup-simplify: Simplify (* 0.5 (* (exp (/ 1 im)) (cos (/ 1 re)))) into (* 0.5 (* (exp (/ 1 im)) (cos (/ 1 re)))) * [misc]backup-simplify: Simplify (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) into (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) * [misc]backup-simplify: Simplify (+ (* 0.5 (* (exp (/ 1 im)) (cos (/ 1 re)))) (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im))))) into (+ (* 0.5 (* (exp (/ 1 im)) (cos (/ 1 re)))) (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im))))) * [misc]backup-simplify: Simplify (+ (* 0.5 (* (exp (/ 1 im)) (cos (/ 1 re)))) (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im))))) into (+ (* 0.5 (* (exp (/ 1 im)) (cos (/ 1 re)))) (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im))))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ 1 im))) (+ (* (/ 0.5 (exp (/ 1 im))) (/ 0 (exp (/ 1 im)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 re)) 0) (* 0 (/ 0.5 (exp (/ 1 im))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (* 0 (cos (/ 1 re)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (/ 1 im)) 0) (* 0 (* 0.5 (cos (/ 1 re))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [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 (+ (* (cos (/ 1 re)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 re)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (/ 1 im)) 0) (* 0 (cos (/ 1 re)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (* 0 (* (exp (/ 1 im)) (cos (/ 1 re))))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 re)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 re)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ 1 im))) (+ (* (/ (cos (/ 1 re)) (exp (/ 1 im))) (/ 0 (exp (/ 1 im)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (* 0 (/ (cos (/ 1 re)) (exp (/ 1 im))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ 1 im))) (+ (* (/ 0.5 (exp (/ 1 im))) (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 re)) 0) (+ (* 0 0) (* 0 (/ 0.5 (exp (/ 1 im)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (cos (/ 1 re))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (/ 1 im)) 0) (+ (* 0 0) (* 0 (* 0.5 (cos (/ 1 re)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [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 (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 re)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 re)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (/ 1 im)) 0) (+ (* 0 0) (* 0 (cos (/ 1 re))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* (exp (/ 1 im)) (cos (/ 1 re)))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 re)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 re)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ 1 im))) (+ (* (/ (cos (/ 1 re)) (exp (/ 1 im))) (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ (cos (/ 1 re)) (exp (/ 1 im)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)) (* 0 (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ 1 im))) (+ (* (/ 0.5 (exp (/ 1 im))) (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 re)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 0.5 (exp (/ 1 im))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 re)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)) (* 0 (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (/ 1 im)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 0.5 (cos (/ 1 re))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 (* (exp (/ 1 im)) (cos (/ 1 re)))) (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im))))) into (+ (* 0.5 (* (exp (/ 1 im)) (cos (/ 1 re)))) (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im))))) * [misc]approximate: Taking taylor expansion of (+ (* (cos (/ 1 (- re))) (/ 0.5 (exp (/ 1 (- im))))) (* (exp (/ 1 (- im))) (* 0.5 (cos (/ 1 (- re)))))) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (+ (* (cos (/ 1 (- re))) (/ 0.5 (exp (/ 1 (- im))))) (* (exp (/ 1 (- im))) (* 0.5 (cos (/ 1 (- re)))))) in im * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 (- re))) (/ 0.5 (exp (/ 1 (- im))))) in im * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- re))) in im * [misc]taylor: Taking taylor expansion of (/ 1 (- re)) in im * [misc]taylor: Taking taylor expansion of (- re) in im * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]backup-simplify: Simplify (- re) into (- re) * [misc]backup-simplify: Simplify (- re) into (- re) * [misc]backup-simplify: Simplify (/ 1 (- re)) into (/ -1 re) * [misc]backup-simplify: Simplify (cos (/ -1 re)) into (cos (/ -1 re)) * [misc]backup-simplify: Simplify (sin (/ -1 re)) into (sin (/ -1 re)) * [misc]taylor: Taking taylor expansion of (/ 0.5 (exp (/ 1 (- im)))) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [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 (/ 0.5 (exp (/ -1 im))) into (/ 0.5 (exp (/ -1 im))) * [misc]taylor: Taking taylor expansion of (* (exp (/ 1 (- im))) (* 0.5 (cos (/ 1 (- re))))) 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 (- 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 (* 0.5 (cos (/ 1 (- re)))) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- re))) in im * [misc]taylor: Taking taylor expansion of (/ 1 (- re)) in im * [misc]taylor: Taking taylor expansion of (- re) in im * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]backup-simplify: Simplify (- re) into (- re) * [misc]backup-simplify: Simplify (- re) into (- re) * [misc]backup-simplify: Simplify (/ 1 (- re)) into (/ -1 re) * [misc]backup-simplify: Simplify (cos (/ -1 re)) into (cos (/ -1 re)) * [misc]backup-simplify: Simplify (sin (/ -1 re)) into (sin (/ -1 re)) * [misc]taylor: Taking taylor expansion of (+ (* (cos (/ 1 (- re))) (/ 0.5 (exp (/ 1 (- im))))) (* (exp (/ 1 (- im))) (* 0.5 (cos (/ 1 (- re)))))) in re * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 (- re))) (/ 0.5 (exp (/ 1 (- im))))) in re * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- re))) in re * [misc]taylor: Taking taylor expansion of (/ 1 (- re)) in re * [misc]taylor: Taking taylor expansion of (- re) in re * [misc]taylor: Taking taylor expansion of re in re * [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 (cos (/ 1 (- re))) into (cos (/ -1 re)) * [misc]taylor: Taking taylor expansion of (/ 0.5 (exp (/ 1 (- im)))) in re * [misc]taylor: Taking taylor expansion of 0.5 in re * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- im))) in re * [misc]taylor: Taking taylor expansion of (/ 1 (- im)) in re * [misc]taylor: Taking taylor expansion of (- im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (/ 1 (- im)) into (/ -1 im) * [misc]backup-simplify: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) * [misc]backup-simplify: Simplify (/ 0.5 (exp (/ -1 im))) into (/ 0.5 (exp (/ -1 im))) * [misc]taylor: Taking taylor expansion of (* (exp (/ 1 (- im))) (* 0.5 (cos (/ 1 (- re))))) in re * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- im))) in re * [misc]taylor: Taking taylor expansion of (/ 1 (- im)) in re * [misc]taylor: Taking taylor expansion of (- im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (/ 1 (- im)) into (/ -1 im) * [misc]backup-simplify: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) * [misc]taylor: Taking taylor expansion of (* 0.5 (cos (/ 1 (- re)))) in re * [misc]taylor: Taking taylor expansion of 0.5 in re * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- re))) in re * [misc]taylor: Taking taylor expansion of (/ 1 (- re)) in re * [misc]taylor: Taking taylor expansion of (- re) in re * [misc]taylor: Taking taylor expansion of re in re * [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 (cos (/ 1 (- re))) into (cos (/ -1 re)) * [misc]taylor: Taking taylor expansion of (+ (* (cos (/ 1 (- re))) (/ 0.5 (exp (/ 1 (- im))))) (* (exp (/ 1 (- im))) (* 0.5 (cos (/ 1 (- re)))))) in re * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 (- re))) (/ 0.5 (exp (/ 1 (- im))))) in re * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- re))) in re * [misc]taylor: Taking taylor expansion of (/ 1 (- re)) in re * [misc]taylor: Taking taylor expansion of (- re) in re * [misc]taylor: Taking taylor expansion of re in re * [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 (cos (/ 1 (- re))) into (cos (/ -1 re)) * [misc]taylor: Taking taylor expansion of (/ 0.5 (exp (/ 1 (- im)))) in re * [misc]taylor: Taking taylor expansion of 0.5 in re * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- im))) in re * [misc]taylor: Taking taylor expansion of (/ 1 (- im)) in re * [misc]taylor: Taking taylor expansion of (- im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (/ 1 (- im)) into (/ -1 im) * [misc]backup-simplify: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) * [misc]backup-simplify: Simplify (/ 0.5 (exp (/ -1 im))) into (/ 0.5 (exp (/ -1 im))) * [misc]taylor: Taking taylor expansion of (* (exp (/ 1 (- im))) (* 0.5 (cos (/ 1 (- re))))) in re * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- im))) in re * [misc]taylor: Taking taylor expansion of (/ 1 (- im)) in re * [misc]taylor: Taking taylor expansion of (- im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (/ 1 (- im)) into (/ -1 im) * [misc]backup-simplify: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) * [misc]taylor: Taking taylor expansion of (* 0.5 (cos (/ 1 (- re)))) in re * [misc]taylor: Taking taylor expansion of 0.5 in re * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- re))) in re * [misc]taylor: Taking taylor expansion of (/ 1 (- re)) in re * [misc]taylor: Taking taylor expansion of (- re) in re * [misc]taylor: Taking taylor expansion of re in re * [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 (cos (/ 1 (- re))) into (cos (/ -1 re)) * [misc]backup-simplify: Simplify (* (cos (/ -1 re)) (/ 0.5 (exp (/ -1 im)))) into (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) * [misc]backup-simplify: Simplify (* 0.5 (cos (/ -1 re))) into (* 0.5 (cos (/ -1 re))) * [misc]backup-simplify: Simplify (* (exp (/ -1 im)) (* 0.5 (cos (/ -1 re)))) into (* 0.5 (* (cos (/ -1 re)) (exp (/ -1 im)))) * [misc]backup-simplify: Simplify (+ (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) (* 0.5 (* (cos (/ -1 re)) (exp (/ -1 im))))) into (+ (* 0.5 (* (cos (/ -1 re)) (exp (/ -1 im)))) (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im))))) * [misc]taylor: Taking taylor expansion of (+ (* 0.5 (* (cos (/ -1 re)) (exp (/ -1 im)))) (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im))))) in im * [misc]taylor: Taking taylor expansion of (* 0.5 (* (cos (/ -1 re)) (exp (/ -1 im)))) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (* (cos (/ -1 re)) (exp (/ -1 im))) in im * [misc]taylor: Taking taylor expansion of (cos (/ -1 re)) in im * [misc]taylor: Taking taylor expansion of (/ -1 re) in im * [misc]taylor: Taking taylor expansion of -1 in im * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]backup-simplify: Simplify (/ -1 re) into (/ -1 re) * [misc]backup-simplify: Simplify (cos (/ -1 re)) into (cos (/ -1 re)) * [misc]backup-simplify: Simplify (sin (/ -1 re)) into (sin (/ -1 re)) * [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 in im * [misc]backup-simplify: Simplify -1 into -1 * [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 (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in im * [misc]taylor: Taking taylor expansion of (cos (/ -1 re)) in im * [misc]taylor: Taking taylor expansion of (/ -1 re) in im * [misc]taylor: Taking taylor expansion of -1 in im * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]backup-simplify: Simplify (/ -1 re) into (/ -1 re) * [misc]backup-simplify: Simplify (cos (/ -1 re)) into (cos (/ -1 re)) * [misc]backup-simplify: Simplify (sin (/ -1 re)) into (sin (/ -1 re)) * [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 in im * [misc]backup-simplify: Simplify -1 into -1 * [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 (* (cos (/ -1 re)) 1) into (cos (/ -1 re)) * [misc]backup-simplify: Simplify (* (sin (/ -1 re)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1 re)) 0) into (cos (/ -1 re)) * [misc]backup-simplify: Simplify (/ (cos (/ -1 re)) (exp (/ -1 im))) into (/ (cos (/ -1 re)) (exp (/ -1 im))) * [misc]backup-simplify: Simplify (* (cos (/ -1 re)) 1) into (cos (/ -1 re)) * [misc]backup-simplify: Simplify (* (sin (/ -1 re)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1 re)) 0) into (cos (/ -1 re)) * [misc]backup-simplify: Simplify (* (cos (/ -1 re)) (exp (/ -1 im))) into (* (cos (/ -1 re)) (exp (/ -1 im))) * [misc]backup-simplify: Simplify (* 0.5 (* (cos (/ -1 re)) (exp (/ -1 im)))) into (* 0.5 (* (cos (/ -1 re)) (exp (/ -1 im)))) * [misc]backup-simplify: Simplify (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) into (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) * [misc]backup-simplify: Simplify (+ (* 0.5 (* (cos (/ -1 re)) (exp (/ -1 im)))) (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im))))) into (+ (* 0.5 (* (cos (/ -1 re)) (exp (/ -1 im)))) (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im))))) * [misc]backup-simplify: Simplify (+ (* 0.5 (* (cos (/ -1 re)) (exp (/ -1 im)))) (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im))))) into (+ (* 0.5 (* (cos (/ -1 re)) (exp (/ -1 im)))) (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ -1 im))) (+ (* (/ 0.5 (exp (/ -1 im))) (/ 0 (exp (/ -1 im)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 re)) 0) (* 0 (/ 0.5 (exp (/ -1 im))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (* 0 (cos (/ -1 re)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (/ -1 im)) 0) (* 0 (* 0.5 (cos (/ -1 re))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [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 (+ (* (cos (/ -1 re)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 re) (+ (* (/ -1 re) (/ 0 re)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 re)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 re)) 0) (* 0 (exp (/ -1 im)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (* 0 (* (cos (/ -1 re)) (exp (/ -1 im))))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 re)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 re) (+ (* (/ -1 re) (/ 0 re)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 re)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ -1 im))) (+ (* (/ (cos (/ -1 re)) (exp (/ -1 im))) (/ 0 (exp (/ -1 im)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (* 0 (/ (cos (/ -1 re)) (exp (/ -1 im))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 im) (/ 0 (- im))) (* 0 (/ 0 (- im))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ -1 im))) (+ (* (/ 0.5 (exp (/ -1 im))) (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 re)) 0) (+ (* 0 0) (* 0 (/ 0.5 (exp (/ -1 im)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (cos (/ -1 re))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 im) (/ 0 (- im))) (* 0 (/ 0 (- im))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (/ -1 im)) 0) (+ (* 0 0) (* 0 (* 0.5 (cos (/ -1 re)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [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 (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 re)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 re) (+ (* (/ -1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 re)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 re)) 0) (+ (* 0 0) (* 0 (exp (/ -1 im))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* (cos (/ -1 re)) (exp (/ -1 im)))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 re)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 re) (+ (* (/ -1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 re)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ -1 im))) (+ (* (/ (cos (/ -1 re)) (exp (/ -1 im))) (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ (cos (/ -1 re)) (exp (/ -1 im)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 im) (/ 0 (- im))) (* 0 (/ 0 (- im))) (* 0 (/ 0 (- im))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ -1 im))) (+ (* (/ 0.5 (exp (/ -1 im))) (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 re)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 0.5 (exp (/ -1 im))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 re)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 im) (/ 0 (- im))) (* 0 (/ 0 (- im))) (* 0 (/ 0 (- im))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (/ -1 im)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 0.5 (cos (/ -1 re))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 (* (cos (/ -1 re)) (exp (/ -1 im)))) (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im))))) into (+ (* 0.5 (* (cos (/ -1 re)) (exp (/ -1 im)))) (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im))))) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 3 ] rewriting at (2 1) * * * * [misc]progress: [ 2 / 3 ] rewriting at (2 1 2) * * * * [misc]progress: [ 3 / 3 ] rewriting at (2) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- 0.5 (+ (* 0.5 im) (* 0.25 (sqr re)))) (* (exp im) (* 0.5 (cos re)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (102 enodes) * * [misc]simplify: iters left: 1 (137 enodes) * [exit]simplify: Simplified to (fma (* (exp im) (cos re)) 0.5 (- 0.5 (fma (* re re) 0.25 (* im 0.5)))) * * * * [misc]progress: [ 2 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) (* (exp im) (* 0.5 (cos re)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (62 enodes) * [exit]simplify: Simplified to (fma (/ 0.5 (exp (/ 1 im))) (cos (/ 1 re)) (* (exp im) (* (cos re) 0.5))) * * * * [misc]progress: [ 3 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) (* (exp im) (* 0.5 (cos re)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (62 enodes) * [exit]simplify: Simplified to (fma (cos (/ -1 re)) (/ 0.5 (exp (/ -1 im))) (* (exp im) (* (cos re) 0.5))) * * * * [misc]progress: [ 4 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (cos re) (- (+ (* 0.25 (sqr im)) 0.5) (* 0.5 im))) (* (exp im) (* 0.5 (cos re)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (164 enodes) * * [misc]simplify: iters left: 1 (244 enodes) * [exit]simplify: Simplified to (fma (fma (- (* 0.25 im) 0.5) im 0.5) (cos re) (* (* (exp im) 0.5) (cos re))) * * * * [misc]progress: [ 5 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (cos re) (/ 0.5 (exp (/ 1 im)))) (* (exp im) (* 0.5 (cos re)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (64 enodes) * [exit]simplify: Simplified to (fma (* (cos re) 0.5) (exp im) (/ (* (cos re) 0.5) (exp (/ 1 im)))) * * * * [misc]progress: [ 6 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (cos re) (/ 0.5 (exp (/ -1 im)))) (* (exp im) (* 0.5 (cos re)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (fma (* (cos re) 0.5) (exp im) (/ (* (cos re) 0.5) (exp (/ -1 im)))) * * * * [misc]progress: [ 7 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 0.5 (sqr im)) 1.0) (* 0.5 (sqr re))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * [exit]simplify: Simplified to (fma (- (* im im) (sqr re)) 0.5 1.0) * * * * [misc]progress: [ 8 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 0.5 (* (exp (/ 1 im)) (cos (/ 1 re)))) (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (* (fma (cos (/ 1 re)) (exp (/ 1 im)) (/ (cos (/ 1 re)) (exp (/ 1 im)))) 0.5) * * * * [misc]progress: [ 9 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 0.5 (* (cos (/ -1 re)) (exp (/ -1 im)))) (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (* 0.5 (fma (exp (/ -1 im)) (cos (/ -1 re)) (/ (cos (/ -1 re)) (exp (/ -1 im))))) * * * * [misc]progress: [ 10 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (* (cos re) (/ 0.5 (exp im)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * * [misc]simplify: iters left: 1 (20 enodes) * [exit]simplify: Simplified to (expm1 (* 0.5 (/ (cos re) (exp im)))) * [exit]simplify: Simplified to (expm1 (* 0.5 (/ (cos re) (exp im)))) * * * * [misc]progress: [ 11 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (* (cos re) (/ 0.5 (exp im)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * * [misc]simplify: iters left: 1 (20 enodes) * [exit]simplify: Simplified to (log1p (* 0.5 (/ (cos re) (exp im)))) * [exit]simplify: Simplified to (log1p (* 0.5 (/ (cos re) (exp im)))) * * * * [misc]progress: [ 12 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos re) (/ 0.5 (exp im))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (* (/ 0.5 (exp im)) (cos re)) * [exit]simplify: Simplified to (* (/ 0.5 (exp im)) (cos re)) * * * * [misc]progress: [ 13 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (cos re)) (log (/ 0.5 (exp im)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (24 enodes) * [exit]simplify: Simplified to (+ (log (cos re)) (- (log 0.5) im)) * [exit]simplify: Simplified to (+ (log (cos re)) (- (log 0.5) im)) * * * * [misc]progress: [ 15 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (cos re) (/ 0.5 (exp im)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (- (log (cos re)) (- im (log 0.5))) * [exit]simplify: Simplified to (- (log (cos re)) (- im (log 0.5))) * * * * [misc]progress: [ 16 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (cos re) (/ 0.5 (exp im)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to (pow (exp (cos re)) (/ 0.5 (exp im))) * [exit]simplify: Simplified to (pow (exp (cos re)) (/ 0.5 (exp im))) * * * * [misc]progress: [ 17 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cube (cos re)) (cube (/ 0.5 (exp im)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (172 enodes) * * [misc]simplify: iters left: 1 (336 enodes) * [exit]simplify: Simplified to (/ (cube 0.5) (cube (/ (exp im) (cos re)))) * [exit]simplify: Simplified to (/ (cube 0.5) (cube (/ (exp im) (cos re)))) * * * * [misc]progress: [ 18 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cos re) (/ 0.5 (exp im)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * * [misc]simplify: iters left: 1 (20 enodes) * [exit]simplify: Simplified to (cbrt (* 0.5 (/ (cos re) (exp im)))) * [exit]simplify: Simplified to (cbrt (* 0.5 (/ (cos re) (exp im)))) * * * * [misc]progress: [ 19 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (* (cos re) (/ 0.5 (exp im)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (152 enodes) * * [misc]simplify: iters left: 1 (275 enodes) * [exit]simplify: Simplified to (cube (/ (* (cos re) 0.5) (exp im))) * [exit]simplify: Simplified to (cube (/ (* (cos re) 0.5) (exp im))) * * * * [misc]progress: [ 20 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cos re)) (cbrt (/ 0.5 (exp im)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 0.5 (exp im))) (cbrt (cos re))) * [exit]simplify: Simplified to (* (cbrt (/ 0.5 (exp im))) (cbrt (cos re))) * * * * [misc]progress: [ 21 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cos re) (/ 0.5 (exp im)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * * [misc]simplify: iters left: 1 (20 enodes) * [exit]simplify: Simplified to (sqrt (* 0.5 (/ (cos re) (exp im)))) * [exit]simplify: Simplified to (sqrt (* 0.5 (/ (cos re) (exp im)))) * * * * [misc]progress: [ 22 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (cos re)) (sqrt (/ 0.5 (exp im)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (* (sqrt (/ 0.5 (exp im))) (sqrt (cos re))) * [exit]simplify: Simplified to (* (sqrt (/ 0.5 (exp im))) (sqrt (cos re))) * * * * [misc]progress: [ 23 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos re) 1) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (cos re) * [exit]simplify: Simplified to (cos re) * * * * [misc]progress: [ 25 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos re) 0.5) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (* (cos re) 0.5) * [exit]simplify: Simplified to (* (cos re) 0.5) * * * * [misc]progress: [ 26 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos re) (/ 0.5 (exp im))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (* (/ 0.5 (exp im)) (cos re)) * [exit]simplify: Simplified to (* (/ 0.5 (exp im)) (cos re)) * * * * [misc]progress: [ 27 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos re) 0.5) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (* (cos re) 0.5) * [exit]simplify: Simplified to (* (cos re) 0.5) * * * * [misc]progress: [ 28 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ 0.5 (exp im))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (expm1 (/ 0.5 (exp im))) * [exit]simplify: Simplified to (expm1 (/ 0.5 (exp im))) * * * * [misc]progress: [ 30 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (/ 0.5 (exp im))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (log1p (/ 0.5 (exp im))) * [exit]simplify: Simplified to (log1p (/ 0.5 (exp im))) * * * * [misc]progress: [ 31 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ 0.5 (exp im))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (- (log 0.5) im) * [exit]simplify: Simplified to (- (log 0.5) im) * * * * [misc]progress: [ 33 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ 0.5 (exp im))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (exp (/ 0.5 (exp im))) * [exit]simplify: Simplified to (exp (/ 0.5 (exp im))) * * * * [misc]progress: [ 34 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 0.5 (exp im))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (cbrt (/ 0.5 (exp im))) * [exit]simplify: Simplified to (cbrt (/ 0.5 (exp im))) * * * * [misc]progress: [ 35 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (/ 0.5 (exp im))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (cube (/ 0.5 (exp im))) * [exit]simplify: Simplified to (cube (/ 0.5 (exp im))) * * * * [misc]progress: [ 36 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 0.5 (exp im))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (sqrt (/ 0.5 (exp im))) * [exit]simplify: Simplified to (sqrt (/ 0.5 (exp im))) * * * * [misc]progress: [ 37 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (- 0.5) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (- 0.5) * [exit]simplify: Simplified to (- 0.5) * [enter]simplify: Simplifying (- (exp im)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (- (exp im)) * [exit]simplify: Simplified to (- (exp im)) * * * * [misc]progress: [ 38 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (exp im)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (exp (- im)) * [exit]simplify: Simplified to (exp (- im)) * * * * [misc]progress: [ 40 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp im) 0.5) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (/ (exp im) 0.5) * [exit]simplify: Simplified to (/ (exp im) 0.5) * * * * [misc]progress: [ 41 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 0.5 1) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ 0.5 1) * [exit]simplify: Simplified to (/ 0.5 1) * * * * [misc]progress: [ 42 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (+ (* (cos re) (/ 0.5 (exp im))) (* (exp im) (* 0.5 (cos re))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to (expm1 (* (fma (exp im) 0.5 (/ 0.5 (exp im))) (cos re))) * [exit]simplify: Simplified to (expm1 (* (fma (exp im) 0.5 (/ 0.5 (exp im))) (cos re))) * * * * [misc]progress: [ 43 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (+ (* (cos re) (/ 0.5 (exp im))) (* (exp im) (* 0.5 (cos re))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to (log1p (* (fma (exp im) 0.5 (/ 0.5 (exp im))) (cos re))) * [exit]simplify: Simplified to (log1p (* (fma (exp im) 0.5 (/ 0.5 (exp im))) (cos re))) * * * * [misc]progress: [ 44 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (* (exp (* (cos re) (/ 0.5 (exp im)))) (exp (* (exp im) (* 0.5 (cos re))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (pow (exp (cos re)) (fma (exp im) 0.5 (/ 0.5 (exp im)))) * [exit]simplify: Simplified to (pow (exp (cos re)) (fma (exp im) 0.5 (/ 0.5 (exp im)))) * * * * [misc]progress: [ 46 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (* (cos re) (/ 0.5 (exp im))) (* (exp im) (* 0.5 (cos re))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to (log (* (fma (exp im) 0.5 (/ 0.5 (exp im))) (cos re))) * [exit]simplify: Simplified to (log (* (fma (exp im) 0.5 (/ 0.5 (exp im))) (cos re))) * * * * [misc]progress: [ 48 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (+ (* (cos re) (/ 0.5 (exp im))) (* (exp im) (* 0.5 (cos re))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (80 enodes) * [exit]simplify: Simplified to (pow (exp (cos re)) (fma (exp im) 0.5 (/ 0.5 (exp im)))) * [exit]simplify: Simplified to (pow (exp (cos re)) (fma (exp im) 0.5 (/ 0.5 (exp im)))) * * * * [misc]progress: [ 49 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (* (cos re) (/ 0.5 (exp im))) (* (exp im) (* 0.5 (cos re))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to (cbrt (* (fma (exp im) 0.5 (/ 0.5 (exp im))) (cos re))) * [exit]simplify: Simplified to (cbrt (* (fma (exp im) 0.5 (/ 0.5 (exp im))) (cos re))) * * * * [misc]progress: [ 50 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (+ (* (cos re) (/ 0.5 (exp im))) (* (exp im) (* 0.5 (cos re))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (126 enodes) * * [misc]simplify: iters left: 2 (369 enodes) * [exit]simplify: Simplified to (cube (* (fma (exp im) 0.5 (/ 0.5 (exp im))) (cos re))) * [exit]simplify: Simplified to (cube (* (fma (exp im) 0.5 (/ 0.5 (exp im))) (cos re))) * * * * [misc]progress: [ 51 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (* (cos re) (/ 0.5 (exp im))) (* (exp im) (* 0.5 (cos re))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to (sqrt (* (fma (exp im) 0.5 (/ 0.5 (exp im))) (cos re))) * [exit]simplify: Simplified to (sqrt (* (fma (exp im) 0.5 (/ 0.5 (exp im))) (cos re))) * * * * [misc]progress: [ 52 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (* (cos re) (/ 0.5 (exp im))) 3) (pow (* (exp im) (* 0.5 (cos re))) 3)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (163 enodes) * * [misc]simplify: iters left: 1 (248 enodes) * [exit]simplify: Simplified to (- (cube (/ (* (cos re) 0.5) (exp im))) (cube (* (* (cos re) 0.5) (exp im)))) * [exit]simplify: Simplified to (- (cube (/ (* (cos re) 0.5) (exp im))) (cube (* (* (cos re) 0.5) (exp im)))) * [enter]simplify: Simplifying (+ (sqr (* (cos re) (/ 0.5 (exp im)))) (- (sqr (* (exp im) (* 0.5 (cos re)))) (* (* (cos re) (/ 0.5 (exp im))) (* (exp im) (* 0.5 (cos re)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (135 enodes) * * [misc]simplify: iters left: 2 (257 enodes) * * [misc]simplify: iters left: 1 (400 enodes) * [exit]simplify: Simplified to (fma (* (/ 0.5 (exp im)) (/ 0.5 (exp im))) (* (cos re) (cos re)) (* (- (* (exp im) 0.5) (/ 0.5 (exp im))) (* (* (cos re) (cos re)) (* (exp im) 0.5)))) * [exit]simplify: Simplified to (fma (* (/ 0.5 (exp im)) (/ 0.5 (exp im))) (* (cos re) (cos re)) (* (- (* (exp im) 0.5) (/ 0.5 (exp im))) (* (* (cos re) (cos re)) (* (exp im) 0.5)))) * * * * [misc]progress: [ 54 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqr (* (cos re) (/ 0.5 (exp im)))) (sqr (* (exp im) (* 0.5 (cos re))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (194 enodes) * * [misc]simplify: iters left: 1 (374 enodes) * [exit]simplify: Simplified to (- (sqr (* 0.5 (/ (cos re) (exp im)))) (* (* (* (exp im) 0.5) (cos re)) (* (* (exp im) 0.5) (cos re)))) * [exit]simplify: Simplified to (- (sqr (* 0.5 (/ (cos re) (exp im)))) (* (* (* (exp im) 0.5) (cos re)) (* (* (exp im) 0.5) (cos re)))) * [enter]simplify: Simplifying (- (* (cos re) (/ 0.5 (exp im))) (* (exp im) (* 0.5 (cos re)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (* 0.5 (- (/ (cos re) (exp im)) (* (cos re) (exp im)))) * [exit]simplify: Simplified to (* 0.5 (- (/ (cos re) (exp im)) (* (cos re) (exp im)))) * * * * [misc]progress: [ 55 / 55 ] simplifiying candidate # * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 3 / 3 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 3 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (sqr (sqrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))) in im * [misc]taylor: Taking taylor expansion of (sqrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) in im * [misc]taylor: Taking taylor expansion of (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) in im * [misc]taylor: Taking taylor expansion of (* 0.5 (cos re)) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (cos re) in im * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]backup-simplify: Simplify (cos re) into (cos re) * [misc]backup-simplify: Simplify (sin re) into (sin re) * [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 (* (cos re) 1) into (cos re) * [misc]backup-simplify: Simplify (* (sin re) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos re) 0) into (cos re) * [misc]backup-simplify: Simplify (* 0.5 (cos re)) into (* 0.5 (cos re)) * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (* (* 0.5 (cos re)) 2) into (* 1.0 (cos re)) * [misc]backup-simplify: Simplify (sqrt (* 1.0 (cos re))) into (* (sqrt (cos re)) (sqrt 1.0)) * [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 (+ (* (cos re) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin re) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (* 0 (cos re))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 0.5 (cos re)) 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* 1.0 (cos re))))) into 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))) in re * [misc]taylor: Taking taylor expansion of (sqrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) in re * [misc]taylor: Taking taylor expansion of (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) in re * [misc]taylor: Taking taylor expansion of (* 0.5 (cos re)) in re * [misc]taylor: Taking taylor expansion of 0.5 in re * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (cos re) in re * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (exp (- im)) (exp im)) in re * [misc]taylor: Taking taylor expansion of (exp (- im)) in re * [misc]taylor: Taking taylor expansion of (- im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (exp (- im)) into (exp (- im)) * [misc]taylor: Taking taylor expansion of (exp im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (exp im) into (exp im) * [misc]backup-simplify: Simplify (* 0.5 1) into 0.5 * [misc]backup-simplify: Simplify (+ (exp (- im)) (exp im)) into (+ (exp im) (exp (- im))) * [misc]backup-simplify: Simplify (* 0.5 (+ (exp im) (exp (- im)))) into (* 0.5 (+ (exp im) (exp (- im)))) * [misc]backup-simplify: Simplify (sqrt (* 0.5 (+ (exp im) (exp (- im))))) into (* (sqrt (+ (exp im) (exp (- im)))) (sqrt 0.5)) * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- im)) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp im) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (* 0 (+ (exp im) (exp (- im))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* 0.5 (+ (exp im) (exp (- im))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))) in re * [misc]taylor: Taking taylor expansion of (sqrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) in re * [misc]taylor: Taking taylor expansion of (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) in re * [misc]taylor: Taking taylor expansion of (* 0.5 (cos re)) in re * [misc]taylor: Taking taylor expansion of 0.5 in re * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (cos re) in re * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (exp (- im)) (exp im)) in re * [misc]taylor: Taking taylor expansion of (exp (- im)) in re * [misc]taylor: Taking taylor expansion of (- im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (exp (- im)) into (exp (- im)) * [misc]taylor: Taking taylor expansion of (exp im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (exp im) into (exp im) * [misc]backup-simplify: Simplify (* 0.5 1) into 0.5 * [misc]backup-simplify: Simplify (+ (exp (- im)) (exp im)) into (+ (exp im) (exp (- im))) * [misc]backup-simplify: Simplify (* 0.5 (+ (exp im) (exp (- im)))) into (* 0.5 (+ (exp im) (exp (- im)))) * [misc]backup-simplify: Simplify (sqrt (* 0.5 (+ (exp im) (exp (- im))))) into (* (sqrt (+ (exp im) (exp (- im)))) (sqrt 0.5)) * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- im)) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp im) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (* 0 (+ (exp im) (exp (- im))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* 0.5 (+ (exp im) (exp (- im))))))) into 0 * [misc]backup-simplify: Simplify (* (* (sqrt (+ (exp im) (exp (- im)))) (sqrt 0.5)) (* (sqrt (+ (exp im) (exp (- im)))) (sqrt 0.5))) into (* (+ (exp im) (exp (- im))) (sqr (sqrt 0.5))) * [misc]taylor: Taking taylor expansion of (* (+ (exp im) (exp (- im))) (sqr (sqrt 0.5))) in im * [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]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]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 (sqr (sqrt 0.5)) in im * [misc]taylor: Taking taylor expansion of (sqrt 0.5) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]backup-simplify: Simplify (sqrt 0.5) into (sqrt 0.5) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 0.5))) into 0 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (* (sqrt 0.5) (sqrt 0.5)) into (sqr (sqrt 0.5)) * [misc]backup-simplify: Simplify (* 2 (sqr (sqrt 0.5))) into (* 2 (sqr (sqrt 0.5))) * [misc]backup-simplify: Simplify (* 2 (sqr (sqrt 0.5))) into (* 2 (sqr (sqrt 0.5))) * [misc]backup-simplify: Simplify (+ (* (* (sqrt (+ (exp im) (exp (- im)))) (sqrt 0.5)) 0) (* 0 (* (sqrt (+ (exp im) (exp (- im)))) (sqrt 0.5)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt 0.5) 0) (* 0 (sqrt 0.5))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (- 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 (+ (* 2 0) (* 0 (sqr (sqrt 0.5)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp im) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (+ (* 0.5 (- 1/2)) (+ (* 0 0) (* 0 1))) into (- 0.25) * [misc]backup-simplify: Simplify (+ (* 0.5 0) (+ (* 0 0) (* (- 0.25) (+ (exp im) (exp (- im)))))) into (- (+ (* 0.25 (exp im)) (* 0.25 (exp (- im))))) * [misc]backup-simplify: Simplify (/ (- (- (+ (* 0.25 (exp im)) (* 0.25 (exp (- im))))) (sqr 0) (+)) (* 2 (* (sqrt (+ (exp im) (exp (- im)))) (sqrt 0.5)))) into (* -1/2 (* (sqrt (/ 1 (+ (exp im) (exp (- im))))) (/ (+ (* 0.25 (exp im)) (* 0.25 (exp (- im)))) (sqrt 0.5)))) * [misc]backup-simplify: Simplify (+ (* (* (sqrt (+ (exp im) (exp (- im)))) (sqrt 0.5)) (* -1/2 (* (sqrt (/ 1 (+ (exp im) (exp (- im))))) (/ (+ (* 0.25 (exp im)) (* 0.25 (exp (- im)))) (sqrt 0.5))))) (+ (* 0 0) (* (* -1/2 (* (sqrt (/ 1 (+ (exp im) (exp (- im))))) (/ (+ (* 0.25 (exp im)) (* 0.25 (exp (- im)))) (sqrt 0.5)))) (* (sqrt (+ (exp im) (exp (- im)))) (sqrt 0.5))))) into (- (+ (* 0.25 (exp im)) (* 0.25 (exp (- im))))) * [misc]taylor: Taking taylor expansion of (- (+ (* 0.25 (exp im)) (* 0.25 (exp (- im))))) in im * [misc]taylor: Taking taylor expansion of (+ (* 0.25 (exp im)) (* 0.25 (exp (- im)))) in im * [misc]taylor: Taking taylor expansion of (* 0.25 (exp im)) in im * [misc]taylor: Taking taylor expansion of 0.25 in im * [misc]backup-simplify: Simplify 0.25 into 0.25 * [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 (* 0.25 (exp (- im))) in im * [misc]taylor: Taking taylor expansion of 0.25 in im * [misc]backup-simplify: Simplify 0.25 into 0.25 * [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]backup-simplify: Simplify (* 0.25 1) into 0.25 * [misc]backup-simplify: Simplify (* 0.25 1) into 0.25 * [misc]backup-simplify: Simplify (+ 0.25 0.25) into 0.5 * [misc]backup-simplify: Simplify (- 0.5) into (- 0.5) * [misc]backup-simplify: Simplify (- 0.5) into (- 0.5) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt 0.5))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt 0.5) 0) (+ (* 0 0) (* 0 (sqrt 0.5)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [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 (+ 1/2 1/2) into 1 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 1 (sqr (sqrt 0.5))))) into (sqr (sqrt 0.5)) * [misc]backup-simplify: Simplify (sqr (sqrt 0.5)) into (sqr (sqrt 0.5)) * [misc]backup-simplify: Simplify (+ (* (sqr (sqrt 0.5)) (sqr (* im 1))) (+ (* (- 0.5) (sqr (* 1 re))) (* 2 (sqr (sqrt 0.5))))) into (- (+ (* (sqr im) (sqr (sqrt 0.5))) (* 2 (sqr (sqrt 0.5)))) (* 0.5 (sqr re))) * [misc]approximate: Taking taylor expansion of (sqr (sqrt (* (* 0.5 (cos (/ 1 re))) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (* (* 0.5 (cos (/ 1 re))) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) in im * [misc]taylor: Taking taylor expansion of (sqrt (* (* 0.5 (cos (/ 1 re))) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in im * [misc]taylor: Taking taylor expansion of (* (* 0.5 (cos (/ 1 re))) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in im * [misc]taylor: Taking taylor expansion of (* 0.5 (cos (/ 1 re))) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (cos (/ 1 re)) in im * [misc]taylor: Taking taylor expansion of (/ 1 re) in im * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]backup-simplify: Simplify (/ 1 re) into (/ 1 re) * [misc]backup-simplify: Simplify (cos (/ 1 re)) into (cos (/ 1 re)) * [misc]backup-simplify: Simplify (sin (/ 1 re)) into (sin (/ 1 re)) * [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 (* (cos (/ 1 re)) 1) into (cos (/ 1 re)) * [misc]backup-simplify: Simplify (* (sin (/ 1 re)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1 re)) 0) into (cos (/ 1 re)) * [misc]backup-simplify: Simplify (* 0.5 (cos (/ 1 re))) into (* 0.5 (cos (/ 1 re))) * [misc]backup-simplify: Simplify (+ (exp (- (/ 1 im))) (exp (/ 1 im))) into (+ (exp (/ 1 im)) (exp (- (/ 1 im)))) * [misc]backup-simplify: Simplify (* (* 0.5 (cos (/ 1 re))) (+ (exp (/ 1 im)) (exp (- (/ 1 im))))) into (* 0.5 (* (cos (/ 1 re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im)))))) * [misc]backup-simplify: Simplify (sqrt (* 0.5 (* (cos (/ 1 re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im))))))) into (* (sqrt (* (cos (/ 1 re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im)))))) (sqrt 0.5)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 re)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 re)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (* 0 (cos (/ 1 re)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 0.5 (cos (/ 1 re))) 0) (* 0 (+ (exp (/ 1 im)) (exp (- (/ 1 im)))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* 0.5 (* (cos (/ 1 re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im))))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (* (* 0.5 (cos (/ 1 re))) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) in re * [misc]taylor: Taking taylor expansion of (sqrt (* (* 0.5 (cos (/ 1 re))) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in re * [misc]taylor: Taking taylor expansion of (* (* 0.5 (cos (/ 1 re))) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in re * [misc]taylor: Taking taylor expansion of (* 0.5 (cos (/ 1 re))) in re * [misc]taylor: Taking taylor expansion of 0.5 in re * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (cos (/ 1 re)) in re * [misc]taylor: Taking taylor expansion of (/ 1 re) in re * [misc]taylor: Taking taylor expansion of re in re * [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 (cos (/ 1 re)) into (cos (/ 1 re)) * [misc]taylor: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in re * [misc]taylor: Taking taylor expansion of (exp (- (/ 1 im))) in re * [misc]taylor: Taking taylor expansion of (- (/ 1 im)) in re * [misc]taylor: Taking taylor expansion of (/ 1 im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (/ 1 im) into (/ 1 im) * [misc]backup-simplify: Simplify (- (/ 1 im)) into (- (/ 1 im)) * [misc]backup-simplify: Simplify (- (/ 1 im)) into (- (/ 1 im)) * [misc]backup-simplify: Simplify (exp (- (/ 1 im))) into (exp (- (/ 1 im))) * [misc]taylor: Taking taylor expansion of (exp (/ 1 im)) in re * [misc]taylor: Taking taylor expansion of (/ 1 im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (/ 1 im) into (/ 1 im) * [misc]backup-simplify: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) * [misc]backup-simplify: Simplify (* 0.5 (cos (/ 1 re))) into (* 0.5 (cos (/ 1 re))) * [misc]backup-simplify: Simplify (+ (exp (- (/ 1 im))) (exp (/ 1 im))) into (+ (exp (/ 1 im)) (exp (- (/ 1 im)))) * [misc]backup-simplify: Simplify (* (* 0.5 (cos (/ 1 re))) (+ (exp (/ 1 im)) (exp (- (/ 1 im))))) into (* 0.5 (* (cos (/ 1 re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im)))))) * [misc]backup-simplify: Simplify (sqrt (* 0.5 (* (cos (/ 1 re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im))))))) into (* (sqrt (* (cos (/ 1 re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im)))))) (sqrt 0.5)) * [misc]backup-simplify: Simplify (- (/ 1 im)) into (- (/ 1 im)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (/ 1 im))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (* 0 (cos (/ 1 re)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 0.5 (cos (/ 1 re))) 0) (* 0 (+ (exp (/ 1 im)) (exp (- (/ 1 im)))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* 0.5 (* (cos (/ 1 re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im))))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (* (* 0.5 (cos (/ 1 re))) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) in re * [misc]taylor: Taking taylor expansion of (sqrt (* (* 0.5 (cos (/ 1 re))) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in re * [misc]taylor: Taking taylor expansion of (* (* 0.5 (cos (/ 1 re))) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in re * [misc]taylor: Taking taylor expansion of (* 0.5 (cos (/ 1 re))) in re * [misc]taylor: Taking taylor expansion of 0.5 in re * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (cos (/ 1 re)) in re * [misc]taylor: Taking taylor expansion of (/ 1 re) in re * [misc]taylor: Taking taylor expansion of re in re * [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 (cos (/ 1 re)) into (cos (/ 1 re)) * [misc]taylor: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in re * [misc]taylor: Taking taylor expansion of (exp (- (/ 1 im))) in re * [misc]taylor: Taking taylor expansion of (- (/ 1 im)) in re * [misc]taylor: Taking taylor expansion of (/ 1 im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (/ 1 im) into (/ 1 im) * [misc]backup-simplify: Simplify (- (/ 1 im)) into (- (/ 1 im)) * [misc]backup-simplify: Simplify (- (/ 1 im)) into (- (/ 1 im)) * [misc]backup-simplify: Simplify (exp (- (/ 1 im))) into (exp (- (/ 1 im))) * [misc]taylor: Taking taylor expansion of (exp (/ 1 im)) in re * [misc]taylor: Taking taylor expansion of (/ 1 im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (/ 1 im) into (/ 1 im) * [misc]backup-simplify: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) * [misc]backup-simplify: Simplify (* 0.5 (cos (/ 1 re))) into (* 0.5 (cos (/ 1 re))) * [misc]backup-simplify: Simplify (+ (exp (- (/ 1 im))) (exp (/ 1 im))) into (+ (exp (/ 1 im)) (exp (- (/ 1 im)))) * [misc]backup-simplify: Simplify (* (* 0.5 (cos (/ 1 re))) (+ (exp (/ 1 im)) (exp (- (/ 1 im))))) into (* 0.5 (* (cos (/ 1 re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im)))))) * [misc]backup-simplify: Simplify (sqrt (* 0.5 (* (cos (/ 1 re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im))))))) into (* (sqrt (* (cos (/ 1 re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im)))))) (sqrt 0.5)) * [misc]backup-simplify: Simplify (- (/ 1 im)) into (- (/ 1 im)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (/ 1 im))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (* 0 (cos (/ 1 re)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 0.5 (cos (/ 1 re))) 0) (* 0 (+ (exp (/ 1 im)) (exp (- (/ 1 im)))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* 0.5 (* (cos (/ 1 re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im))))))))) into 0 * [misc]backup-simplify: Simplify (* (* (sqrt (* (cos (/ 1 re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im)))))) (sqrt 0.5)) (* (sqrt (* (cos (/ 1 re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im)))))) (sqrt 0.5))) into (* (cos (/ 1 re)) (* (+ (exp (/ 1 im)) (exp (- (/ 1 im)))) (sqr (sqrt 0.5)))) * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 re)) (* (+ (exp (/ 1 im)) (exp (- (/ 1 im)))) (sqr (sqrt 0.5)))) in im * [misc]taylor: Taking taylor expansion of (cos (/ 1 re)) in im * [misc]taylor: Taking taylor expansion of (/ 1 re) in im * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]backup-simplify: Simplify (/ 1 re) into (/ 1 re) * [misc]backup-simplify: Simplify (cos (/ 1 re)) into (cos (/ 1 re)) * [misc]backup-simplify: Simplify (sin (/ 1 re)) into (sin (/ 1 re)) * [misc]taylor: Taking taylor expansion of (* (+ (exp (/ 1 im)) (exp (- (/ 1 im)))) (sqr (sqrt 0.5))) in 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 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))) 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 (sqr (sqrt 0.5)) in im * [misc]taylor: Taking taylor expansion of (sqrt 0.5) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]backup-simplify: Simplify (sqrt 0.5) into (sqrt 0.5) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 0.5))) into 0 * [misc]backup-simplify: Simplify (* (cos (/ 1 re)) 1) into (cos (/ 1 re)) * [misc]backup-simplify: Simplify (* (sin (/ 1 re)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1 re)) 0) into (cos (/ 1 re)) * [misc]backup-simplify: Simplify (+ (exp (/ 1 im)) (exp (- (/ 1 im)))) into (+ (exp (/ 1 im)) (exp (- (/ 1 im)))) * [misc]backup-simplify: Simplify (* (sqrt 0.5) (sqrt 0.5)) into (sqr (sqrt 0.5)) * [misc]backup-simplify: Simplify (* (+ (exp (/ 1 im)) (exp (- (/ 1 im)))) (sqr (sqrt 0.5))) into (* (+ (exp (/ 1 im)) (exp (- (/ 1 im)))) (sqr (sqrt 0.5))) * [misc]backup-simplify: Simplify (* (cos (/ 1 re)) (* (+ (exp (/ 1 im)) (exp (- (/ 1 im)))) (sqr (sqrt 0.5)))) into (* (cos (/ 1 re)) (* (+ (exp (/ 1 im)) (exp (- (/ 1 im)))) (sqr (sqrt 0.5)))) * [misc]backup-simplify: Simplify (* (cos (/ 1 re)) (* (+ (exp (/ 1 im)) (exp (- (/ 1 im)))) (sqr (sqrt 0.5)))) into (* (cos (/ 1 re)) (* (+ (exp (/ 1 im)) (exp (- (/ 1 im)))) (sqr (sqrt 0.5)))) * [misc]backup-simplify: Simplify (+ (* (* (sqrt (* (cos (/ 1 re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im)))))) (sqrt 0.5)) 0) (* 0 (* (sqrt (* (cos (/ 1 re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im)))))) (sqrt 0.5)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt 0.5) 0) (* 0 (sqrt 0.5))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ (exp (/ 1 im)) (exp (- (/ 1 im)))) 0) (* 0 (sqr (sqrt 0.5)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 re)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 re)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 re)) 0) (* 0 (* (+ (exp (/ 1 im)) (exp (- (/ 1 im)))) (sqr (sqrt 0.5))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 1 im)) into (- (/ 1 im)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (/ 1 im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (cos (/ 1 re))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 0.5 (cos (/ 1 re))) 0) (+ (* 0 0) (* 0 (+ (exp (/ 1 im)) (exp (- (/ 1 im))))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (* (sqrt (* (cos (/ 1 re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im)))))) (sqrt 0.5)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (sqrt (* (cos (/ 1 re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im)))))) (sqrt 0.5)) 0) (+ (* 0 0) (* 0 (* (sqrt (* (cos (/ 1 re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im)))))) (sqrt 0.5))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [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 (sqr 0) (+)) (* 2 (sqrt 0.5))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt 0.5) 0) (+ (* 0 0) (* 0 (sqrt 0.5)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ (exp (/ 1 im)) (exp (- (/ 1 im)))) 0) (+ (* 0 0) (* 0 (sqr (sqrt 0.5))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 re)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 re)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 re)) 0) (+ (* 0 0) (* 0 (* (+ (exp (/ 1 im)) (exp (- (/ 1 im)))) (sqr (sqrt 0.5)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 1 im)) into (- (/ 1 im)) * [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 (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)) (* 0 (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (/ 1 im))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)) (* 0 (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 re)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 0.5 (cos (/ 1 re))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (exp (/ 1 im)) (exp (- (/ 1 im)))))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (* (sqrt (* (cos (/ 1 re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im)))))) (sqrt 0.5)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (sqrt (* (cos (/ 1 re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im)))))) (sqrt 0.5)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sqrt (* (cos (/ 1 re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im)))))) (sqrt 0.5)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (cos (/ 1 re)) (* (+ (exp (/ 1 im)) (exp (- (/ 1 im)))) (sqr (sqrt 0.5)))) into (* (cos (/ 1 re)) (* (+ (exp (/ 1 im)) (exp (- (/ 1 im)))) (sqr (sqrt 0.5)))) * [misc]approximate: Taking taylor expansion of (sqr (sqrt (* (* 0.5 (cos (/ 1 (- re)))) (+ (exp (- (/ 1 (- im)))) (exp (/ 1 (- im))))))) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (* (* 0.5 (cos (/ 1 (- re)))) (+ (exp (- (/ 1 (- im)))) (exp (/ 1 (- im))))))) in im * [misc]taylor: Taking taylor expansion of (sqrt (* (* 0.5 (cos (/ 1 (- re)))) (+ (exp (- (/ 1 (- im)))) (exp (/ 1 (- im)))))) in im * [misc]taylor: Taking taylor expansion of (* (* 0.5 (cos (/ 1 (- re)))) (+ (exp (- (/ 1 (- im)))) (exp (/ 1 (- im))))) in im * [misc]taylor: Taking taylor expansion of (* 0.5 (cos (/ 1 (- re)))) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- re))) in im * [misc]taylor: Taking taylor expansion of (/ 1 (- re)) in im * [misc]taylor: Taking taylor expansion of (- re) in im * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]backup-simplify: Simplify (- re) into (- re) * [misc]backup-simplify: Simplify (- re) into (- re) * [misc]backup-simplify: Simplify (/ 1 (- re)) into (/ -1 re) * [misc]backup-simplify: Simplify (cos (/ -1 re)) into (cos (/ -1 re)) * [misc]backup-simplify: Simplify (sin (/ -1 re)) into (sin (/ -1 re)) * [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 (* (cos (/ -1 re)) 1) into (cos (/ -1 re)) * [misc]backup-simplify: Simplify (* (sin (/ -1 re)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1 re)) 0) into (cos (/ -1 re)) * [misc]backup-simplify: Simplify (* 0.5 (cos (/ -1 re))) into (* 0.5 (cos (/ -1 re))) * [misc]backup-simplify: Simplify (+ (exp (/ 1 im)) (exp (/ -1 im))) into (+ (exp (/ 1 im)) (exp (/ -1 im))) * [misc]backup-simplify: Simplify (* (* 0.5 (cos (/ -1 re))) (+ (exp (/ 1 im)) (exp (/ -1 im)))) into (* 0.5 (* (cos (/ -1 re)) (+ (exp (/ 1 im)) (exp (/ -1 im))))) * [misc]backup-simplify: Simplify (sqrt (* 0.5 (* (cos (/ -1 re)) (+ (exp (/ 1 im)) (exp (/ -1 im)))))) into (* (sqrt (* (cos (/ -1 re)) (+ (exp (/ 1 im)) (exp (/ -1 im))))) (sqrt 0.5)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 re)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- re) into (- re) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 re) (/ 0 (- re))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 re)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (* 0 (cos (/ -1 re)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 0.5 (cos (/ -1 re))) 0) (* 0 (+ (exp (/ 1 im)) (exp (/ -1 im))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* 0.5 (* (cos (/ -1 re)) (+ (exp (/ 1 im)) (exp (/ -1 im)))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (* (* 0.5 (cos (/ 1 (- re)))) (+ (exp (- (/ 1 (- im)))) (exp (/ 1 (- im))))))) in re * [misc]taylor: Taking taylor expansion of (sqrt (* (* 0.5 (cos (/ 1 (- re)))) (+ (exp (- (/ 1 (- im)))) (exp (/ 1 (- im)))))) in re * [misc]taylor: Taking taylor expansion of (* (* 0.5 (cos (/ 1 (- re)))) (+ (exp (- (/ 1 (- im)))) (exp (/ 1 (- im))))) in re * [misc]taylor: Taking taylor expansion of (* 0.5 (cos (/ 1 (- re)))) in re * [misc]taylor: Taking taylor expansion of 0.5 in re * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- re))) in re * [misc]taylor: Taking taylor expansion of (/ 1 (- re)) in re * [misc]taylor: Taking taylor expansion of (- re) in re * [misc]taylor: Taking taylor expansion of re in re * [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 (cos (/ 1 (- re))) into (cos (/ -1 re)) * [misc]taylor: Taking taylor expansion of (+ (exp (- (/ 1 (- im)))) (exp (/ 1 (- im)))) in re * [misc]taylor: Taking taylor expansion of (exp (- (/ 1 (- im)))) in re * [misc]taylor: Taking taylor expansion of (- (/ 1 (- im))) in re * [misc]taylor: Taking taylor expansion of (/ 1 (- im)) in re * [misc]taylor: Taking taylor expansion of (- im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (/ 1 (- im)) into (/ -1 im) * [misc]backup-simplify: Simplify (- (/ -1 im)) into (/ 1 im) * [misc]backup-simplify: Simplify (- (/ -1 im)) into (/ 1 im) * [misc]backup-simplify: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- im))) in re * [misc]taylor: Taking taylor expansion of (/ 1 (- im)) in re * [misc]taylor: Taking taylor expansion of (- im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (/ 1 (- im)) into (/ -1 im) * [misc]backup-simplify: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) * [misc]backup-simplify: Simplify (* 0.5 (cos (/ -1 re))) into (* 0.5 (cos (/ -1 re))) * [misc]backup-simplify: Simplify (+ (exp (/ 1 im)) (exp (/ -1 im))) into (+ (exp (/ 1 im)) (exp (/ -1 im))) * [misc]backup-simplify: Simplify (* (* 0.5 (cos (/ -1 re))) (+ (exp (/ 1 im)) (exp (/ -1 im)))) into (* 0.5 (* (cos (/ -1 re)) (+ (exp (/ 1 im)) (exp (/ -1 im))))) * [misc]backup-simplify: Simplify (sqrt (* 0.5 (* (cos (/ -1 re)) (+ (exp (/ 1 im)) (exp (/ -1 im)))))) into (* (sqrt (* (cos (/ -1 re)) (+ (exp (/ 1 im)) (exp (/ -1 im))))) (sqrt 0.5)) * [misc]backup-simplify: Simplify (- (/ -1 im)) into (/ 1 im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (* 0 (cos (/ -1 re)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 0.5 (cos (/ -1 re))) 0) (* 0 (+ (exp (/ 1 im)) (exp (/ -1 im))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* 0.5 (* (cos (/ -1 re)) (+ (exp (/ 1 im)) (exp (/ -1 im)))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (* (* 0.5 (cos (/ 1 (- re)))) (+ (exp (- (/ 1 (- im)))) (exp (/ 1 (- im))))))) in re * [misc]taylor: Taking taylor expansion of (sqrt (* (* 0.5 (cos (/ 1 (- re)))) (+ (exp (- (/ 1 (- im)))) (exp (/ 1 (- im)))))) in re * [misc]taylor: Taking taylor expansion of (* (* 0.5 (cos (/ 1 (- re)))) (+ (exp (- (/ 1 (- im)))) (exp (/ 1 (- im))))) in re * [misc]taylor: Taking taylor expansion of (* 0.5 (cos (/ 1 (- re)))) in re * [misc]taylor: Taking taylor expansion of 0.5 in re * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- re))) in re * [misc]taylor: Taking taylor expansion of (/ 1 (- re)) in re * [misc]taylor: Taking taylor expansion of (- re) in re * [misc]taylor: Taking taylor expansion of re in re * [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 (cos (/ 1 (- re))) into (cos (/ -1 re)) * [misc]taylor: Taking taylor expansion of (+ (exp (- (/ 1 (- im)))) (exp (/ 1 (- im)))) in re * [misc]taylor: Taking taylor expansion of (exp (- (/ 1 (- im)))) in re * [misc]taylor: Taking taylor expansion of (- (/ 1 (- im))) in re * [misc]taylor: Taking taylor expansion of (/ 1 (- im)) in re * [misc]taylor: Taking taylor expansion of (- im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (/ 1 (- im)) into (/ -1 im) * [misc]backup-simplify: Simplify (- (/ -1 im)) into (/ 1 im) * [misc]backup-simplify: Simplify (- (/ -1 im)) into (/ 1 im) * [misc]backup-simplify: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- im))) in re * [misc]taylor: Taking taylor expansion of (/ 1 (- im)) in re * [misc]taylor: Taking taylor expansion of (- im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (/ 1 (- im)) into (/ -1 im) * [misc]backup-simplify: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) * [misc]backup-simplify: Simplify (* 0.5 (cos (/ -1 re))) into (* 0.5 (cos (/ -1 re))) * [misc]backup-simplify: Simplify (+ (exp (/ 1 im)) (exp (/ -1 im))) into (+ (exp (/ 1 im)) (exp (/ -1 im))) * [misc]backup-simplify: Simplify (* (* 0.5 (cos (/ -1 re))) (+ (exp (/ 1 im)) (exp (/ -1 im)))) into (* 0.5 (* (cos (/ -1 re)) (+ (exp (/ 1 im)) (exp (/ -1 im))))) * [misc]backup-simplify: Simplify (sqrt (* 0.5 (* (cos (/ -1 re)) (+ (exp (/ 1 im)) (exp (/ -1 im)))))) into (* (sqrt (* (cos (/ -1 re)) (+ (exp (/ 1 im)) (exp (/ -1 im))))) (sqrt 0.5)) * [misc]backup-simplify: Simplify (- (/ -1 im)) into (/ 1 im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (* 0 (cos (/ -1 re)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 0.5 (cos (/ -1 re))) 0) (* 0 (+ (exp (/ 1 im)) (exp (/ -1 im))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* 0.5 (* (cos (/ -1 re)) (+ (exp (/ 1 im)) (exp (/ -1 im)))))))) into 0 * [misc]backup-simplify: Simplify (* (* (sqrt (* (cos (/ -1 re)) (+ (exp (/ 1 im)) (exp (/ -1 im))))) (sqrt 0.5)) (* (sqrt (* (cos (/ -1 re)) (+ (exp (/ 1 im)) (exp (/ -1 im))))) (sqrt 0.5))) into (* (cos (/ -1 re)) (* (+ (exp (/ 1 im)) (exp (/ -1 im))) (sqr (sqrt 0.5)))) * [misc]taylor: Taking taylor expansion of (* (cos (/ -1 re)) (* (+ (exp (/ 1 im)) (exp (/ -1 im))) (sqr (sqrt 0.5)))) in im * [misc]taylor: Taking taylor expansion of (cos (/ -1 re)) in im * [misc]taylor: Taking taylor expansion of (/ -1 re) in im * [misc]taylor: Taking taylor expansion of -1 in im * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]backup-simplify: Simplify (/ -1 re) into (/ -1 re) * [misc]backup-simplify: Simplify (cos (/ -1 re)) into (cos (/ -1 re)) * [misc]backup-simplify: Simplify (sin (/ -1 re)) into (sin (/ -1 re)) * [misc]taylor: Taking taylor expansion of (* (+ (exp (/ 1 im)) (exp (/ -1 im))) (sqr (sqrt 0.5))) in 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 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)) in im * [misc]taylor: Taking taylor expansion of (/ -1 im) in im * [misc]taylor: Taking taylor expansion of -1 in im * [misc]backup-simplify: Simplify -1 into -1 * [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 (sqr (sqrt 0.5)) in im * [misc]taylor: Taking taylor expansion of (sqrt 0.5) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]backup-simplify: Simplify (sqrt 0.5) into (sqrt 0.5) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 0.5))) into 0 * [misc]backup-simplify: Simplify (* (cos (/ -1 re)) 1) into (cos (/ -1 re)) * [misc]backup-simplify: Simplify (* (sin (/ -1 re)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1 re)) 0) into (cos (/ -1 re)) * [misc]backup-simplify: Simplify (+ (exp (/ 1 im)) (exp (/ -1 im))) into (+ (exp (/ 1 im)) (exp (/ -1 im))) * [misc]backup-simplify: Simplify (* (sqrt 0.5) (sqrt 0.5)) into (sqr (sqrt 0.5)) * [misc]backup-simplify: Simplify (* (+ (exp (/ 1 im)) (exp (/ -1 im))) (sqr (sqrt 0.5))) into (* (+ (exp (/ 1 im)) (exp (/ -1 im))) (sqr (sqrt 0.5))) * [misc]backup-simplify: Simplify (* (cos (/ -1 re)) (* (+ (exp (/ 1 im)) (exp (/ -1 im))) (sqr (sqrt 0.5)))) into (* (cos (/ -1 re)) (* (+ (exp (/ 1 im)) (exp (/ -1 im))) (sqr (sqrt 0.5)))) * [misc]backup-simplify: Simplify (* (cos (/ -1 re)) (* (+ (exp (/ 1 im)) (exp (/ -1 im))) (sqr (sqrt 0.5)))) into (* (cos (/ -1 re)) (* (+ (exp (/ 1 im)) (exp (/ -1 im))) (sqr (sqrt 0.5)))) * [misc]backup-simplify: Simplify (+ (* (* (sqrt (* (cos (/ -1 re)) (+ (exp (/ 1 im)) (exp (/ -1 im))))) (sqrt 0.5)) 0) (* 0 (* (sqrt (* (cos (/ -1 re)) (+ (exp (/ 1 im)) (exp (/ -1 im))))) (sqrt 0.5)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt 0.5) 0) (* 0 (sqrt 0.5))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ (exp (/ 1 im)) (exp (/ -1 im))) 0) (* 0 (sqr (sqrt 0.5)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 re)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 re) (+ (* (/ -1 re) (/ 0 re)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 re)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 re)) 0) (* 0 (* (+ (exp (/ 1 im)) (exp (/ -1 im))) (sqr (sqrt 0.5))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ -1 im)) into (/ 1 im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 im) (/ 0 (- im))) (* 0 (/ 0 (- im))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 im) (/ 0 (- im))) (* 0 (/ 0 (- im))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (cos (/ -1 re))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 0.5 (cos (/ -1 re))) 0) (+ (* 0 0) (* 0 (+ (exp (/ 1 im)) (exp (/ -1 im)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (* (sqrt (* (cos (/ -1 re)) (+ (exp (/ 1 im)) (exp (/ -1 im))))) (sqrt 0.5)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (sqrt (* (cos (/ -1 re)) (+ (exp (/ 1 im)) (exp (/ -1 im))))) (sqrt 0.5)) 0) (+ (* 0 0) (* 0 (* (sqrt (* (cos (/ -1 re)) (+ (exp (/ 1 im)) (exp (/ -1 im))))) (sqrt 0.5))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [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 (sqr 0) (+)) (* 2 (sqrt 0.5))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt 0.5) 0) (+ (* 0 0) (* 0 (sqrt 0.5)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ (exp (/ 1 im)) (exp (/ -1 im))) 0) (+ (* 0 0) (* 0 (sqr (sqrt 0.5))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 re)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 re) (+ (* (/ -1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 re)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 re)) 0) (+ (* 0 0) (* 0 (* (+ (exp (/ 1 im)) (exp (/ -1 im))) (sqr (sqrt 0.5)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ -1 im)) into (/ 1 im) * [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 (- im) into (- im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 im) (/ 0 (- im))) (* 0 (/ 0 (- im))) (* 0 (/ 0 (- im))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 im) (/ 0 (- im))) (* 0 (/ 0 (- im))) (* 0 (/ 0 (- im))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 re)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 0.5 (cos (/ -1 re))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (exp (/ 1 im)) (exp (/ -1 im))))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (* (sqrt (* (cos (/ -1 re)) (+ (exp (/ 1 im)) (exp (/ -1 im))))) (sqrt 0.5)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (sqrt (* (cos (/ -1 re)) (+ (exp (/ 1 im)) (exp (/ -1 im))))) (sqrt 0.5)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sqrt (* (cos (/ -1 re)) (+ (exp (/ 1 im)) (exp (/ -1 im))))) (sqrt 0.5)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (cos (/ -1 re)) (* (+ (exp (/ 1 im)) (exp (/ -1 im))) (sqr (sqrt 0.5)))) into (* (cos (/ -1 re)) (* (+ (exp (/ 1 im)) (exp (/ -1 im))) (sqr (sqrt 0.5)))) * * * * [misc]progress: [ 2 / 3 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (sqrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) in im * [misc]taylor: Taking taylor expansion of (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) in im * [misc]taylor: Taking taylor expansion of (* 0.5 (cos re)) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (cos re) in im * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]backup-simplify: Simplify (cos re) into (cos re) * [misc]backup-simplify: Simplify (sin re) into (sin re) * [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 (* (cos re) 1) into (cos re) * [misc]backup-simplify: Simplify (* (sin re) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos re) 0) into (cos re) * [misc]backup-simplify: Simplify (* 0.5 (cos re)) into (* 0.5 (cos re)) * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (* (* 0.5 (cos re)) 2) into (* 1.0 (cos re)) * [misc]backup-simplify: Simplify (sqrt (* 1.0 (cos re))) into (* (sqrt (cos re)) (sqrt 1.0)) * [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 (+ (* (cos re) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin re) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (* 0 (cos re))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 0.5 (cos re)) 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* 1.0 (cos re))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) in re * [misc]taylor: Taking taylor expansion of (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) in re * [misc]taylor: Taking taylor expansion of (* 0.5 (cos re)) in re * [misc]taylor: Taking taylor expansion of 0.5 in re * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (cos re) in re * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (exp (- im)) (exp im)) in re * [misc]taylor: Taking taylor expansion of (exp (- im)) in re * [misc]taylor: Taking taylor expansion of (- im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (exp (- im)) into (exp (- im)) * [misc]taylor: Taking taylor expansion of (exp im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (exp im) into (exp im) * [misc]backup-simplify: Simplify (* 0.5 1) into 0.5 * [misc]backup-simplify: Simplify (+ (exp (- im)) (exp im)) into (+ (exp im) (exp (- im))) * [misc]backup-simplify: Simplify (* 0.5 (+ (exp im) (exp (- im)))) into (* 0.5 (+ (exp im) (exp (- im)))) * [misc]backup-simplify: Simplify (sqrt (* 0.5 (+ (exp im) (exp (- im))))) into (* (sqrt (+ (exp im) (exp (- im)))) (sqrt 0.5)) * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- im)) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp im) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (* 0 (+ (exp im) (exp (- im))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* 0.5 (+ (exp im) (exp (- im))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) in re * [misc]taylor: Taking taylor expansion of (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) in re * [misc]taylor: Taking taylor expansion of (* 0.5 (cos re)) in re * [misc]taylor: Taking taylor expansion of 0.5 in re * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (cos re) in re * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (exp (- im)) (exp im)) in re * [misc]taylor: Taking taylor expansion of (exp (- im)) in re * [misc]taylor: Taking taylor expansion of (- im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (exp (- im)) into (exp (- im)) * [misc]taylor: Taking taylor expansion of (exp im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (exp im) into (exp im) * [misc]backup-simplify: Simplify (* 0.5 1) into 0.5 * [misc]backup-simplify: Simplify (+ (exp (- im)) (exp im)) into (+ (exp im) (exp (- im))) * [misc]backup-simplify: Simplify (* 0.5 (+ (exp im) (exp (- im)))) into (* 0.5 (+ (exp im) (exp (- im)))) * [misc]backup-simplify: Simplify (sqrt (* 0.5 (+ (exp im) (exp (- im))))) into (* (sqrt (+ (exp im) (exp (- im)))) (sqrt 0.5)) * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- im)) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp im) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (* 0 (+ (exp im) (exp (- im))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* 0.5 (+ (exp im) (exp (- im))))))) into 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (+ (exp im) (exp (- im)))) (sqrt 0.5)) in im * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp im) (exp (- im)))) in im * [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]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]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]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (- 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 (* 2 (sqrt 2))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt 0.5) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]backup-simplify: Simplify (sqrt 0.5) into (sqrt 0.5) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 0.5))) into 0 * [misc]backup-simplify: Simplify (* (sqrt 2) (sqrt 0.5)) into (* (sqrt 2) (sqrt 0.5)) * [misc]backup-simplify: Simplify (* (sqrt 2) (sqrt 0.5)) into (* (sqrt 2) (sqrt 0.5)) * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (sqrt 0.5))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp im) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (+ (* 0.5 (- 1/2)) (+ (* 0 0) (* 0 1))) into (- 0.25) * [misc]backup-simplify: Simplify (+ (* 0.5 0) (+ (* 0 0) (* (- 0.25) (+ (exp im) (exp (- im)))))) into (- (+ (* 0.25 (exp im)) (* 0.25 (exp (- im))))) * [misc]backup-simplify: Simplify (/ (- (- (+ (* 0.25 (exp im)) (* 0.25 (exp (- im))))) (sqr 0) (+)) (* 2 (* (sqrt (+ (exp im) (exp (- im)))) (sqrt 0.5)))) into (* -1/2 (* (sqrt (/ 1 (+ (exp im) (exp (- im))))) (/ (+ (* 0.25 (exp im)) (* 0.25 (exp (- im)))) (sqrt 0.5)))) * [misc]taylor: Taking taylor expansion of (* -1/2 (* (sqrt (/ 1 (+ (exp im) (exp (- im))))) (/ (+ (* 0.25 (exp im)) (* 0.25 (exp (- im)))) (sqrt 0.5)))) in im * [misc]taylor: Taking taylor expansion of -1/2 in im * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 (+ (exp im) (exp (- im))))) (/ (+ (* 0.25 (exp im)) (* 0.25 (exp (- im)))) (sqrt 0.5))) in im * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (+ (exp im) (exp (- im))))) in im * [misc]taylor: Taking taylor expansion of (/ 1 (+ (exp im) (exp (- im)))) in im * [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]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]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]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (- 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 (- (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 * [misc]taylor: Taking taylor expansion of (/ (+ (* 0.25 (exp im)) (* 0.25 (exp (- im)))) (sqrt 0.5)) in im * [misc]taylor: Taking taylor expansion of (+ (* 0.25 (exp im)) (* 0.25 (exp (- im)))) in im * [misc]taylor: Taking taylor expansion of (* 0.25 (exp im)) in im * [misc]taylor: Taking taylor expansion of 0.25 in im * [misc]backup-simplify: Simplify 0.25 into 0.25 * [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 (* 0.25 (exp (- im))) in im * [misc]taylor: Taking taylor expansion of 0.25 in im * [misc]backup-simplify: Simplify 0.25 into 0.25 * [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 (sqrt 0.5) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]backup-simplify: Simplify (sqrt 0.5) into (sqrt 0.5) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 0.5))) into 0 * [misc]backup-simplify: Simplify (* 0.25 1) into 0.25 * [misc]backup-simplify: Simplify (* 0.25 1) into 0.25 * [misc]backup-simplify: Simplify (+ 0.25 0.25) into 0.5 * [misc]backup-simplify: Simplify (/ 0.5 (sqrt 0.5)) into (/ 0.5 (sqrt 0.5)) * [misc]backup-simplify: Simplify (* (sqrt 1/2) (/ 0.5 (sqrt 0.5))) into (* 0.5 (/ (sqrt 1/2) (sqrt 0.5))) * [misc]backup-simplify: Simplify (* -1/2 (* 0.5 (/ (sqrt 1/2) (sqrt 0.5)))) into (* -0.25 (/ (sqrt 1/2) (sqrt 0.5))) * [misc]backup-simplify: Simplify (* -0.25 (/ (sqrt 1/2) (sqrt 0.5))) into (* -0.25 (/ (sqrt 1/2) (sqrt 0.5))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt 0.5))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [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 (+ 1/2 1/2) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (sqr 0) (+)) (* 2 (sqrt 2))) into (/ 1/2 (sqrt 2)) * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* (/ 1/2 (sqrt 2)) (sqrt 0.5)))) into (* 1/2 (/ (sqrt 0.5) (sqrt 2))) * [misc]backup-simplify: Simplify (* 1/2 (/ (sqrt 0.5) (sqrt 2))) into (* 1/2 (/ (sqrt 0.5) (sqrt 2))) * [misc]backup-simplify: Simplify (+ (* (* 1/2 (/ (sqrt 0.5) (sqrt 2))) (sqr (* im 1))) (+ (* (* -0.25 (/ (sqrt 1/2) (sqrt 0.5))) (sqr (* 1 re))) (* (sqrt 2) (sqrt 0.5)))) into (- (+ (* 1/2 (/ (* (sqr im) (sqrt 0.5)) (sqrt 2))) (* (sqrt 2) (sqrt 0.5))) (* 0.25 (/ (* (sqrt 1/2) (sqr re)) (sqrt 0.5)))) * [misc]approximate: Taking taylor expansion of (sqrt (* (* 0.5 (cos (/ 1 re))) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (* (* 0.5 (cos (/ 1 re))) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in im * [misc]taylor: Taking taylor expansion of (* (* 0.5 (cos (/ 1 re))) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in im * [misc]taylor: Taking taylor expansion of (* 0.5 (cos (/ 1 re))) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (cos (/ 1 re)) in im * [misc]taylor: Taking taylor expansion of (/ 1 re) in im * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]backup-simplify: Simplify (/ 1 re) into (/ 1 re) * [misc]backup-simplify: Simplify (cos (/ 1 re)) into (cos (/ 1 re)) * [misc]backup-simplify: Simplify (sin (/ 1 re)) into (sin (/ 1 re)) * [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 (* (cos (/ 1 re)) 1) into (cos (/ 1 re)) * [misc]backup-simplify: Simplify (* (sin (/ 1 re)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1 re)) 0) into (cos (/ 1 re)) * [misc]backup-simplify: Simplify (* 0.5 (cos (/ 1 re))) into (* 0.5 (cos (/ 1 re))) * [misc]backup-simplify: Simplify (+ (exp (- (/ 1 im))) (exp (/ 1 im))) into (+ (exp (/ 1 im)) (exp (- (/ 1 im)))) * [misc]backup-simplify: Simplify (* (* 0.5 (cos (/ 1 re))) (+ (exp (/ 1 im)) (exp (- (/ 1 im))))) into (* 0.5 (* (cos (/ 1 re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im)))))) * [misc]backup-simplify: Simplify (sqrt (* 0.5 (* (cos (/ 1 re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im))))))) into (* (sqrt (* (cos (/ 1 re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im)))))) (sqrt 0.5)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 re)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 re)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (* 0 (cos (/ 1 re)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 0.5 (cos (/ 1 re))) 0) (* 0 (+ (exp (/ 1 im)) (exp (- (/ 1 im)))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* 0.5 (* (cos (/ 1 re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im))))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (* (* 0.5 (cos (/ 1 re))) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in re * [misc]taylor: Taking taylor expansion of (* (* 0.5 (cos (/ 1 re))) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in re * [misc]taylor: Taking taylor expansion of (* 0.5 (cos (/ 1 re))) in re * [misc]taylor: Taking taylor expansion of 0.5 in re * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (cos (/ 1 re)) in re * [misc]taylor: Taking taylor expansion of (/ 1 re) in re * [misc]taylor: Taking taylor expansion of re in re * [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 (cos (/ 1 re)) into (cos (/ 1 re)) * [misc]taylor: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in re * [misc]taylor: Taking taylor expansion of (exp (- (/ 1 im))) in re * [misc]taylor: Taking taylor expansion of (- (/ 1 im)) in re * [misc]taylor: Taking taylor expansion of (/ 1 im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (/ 1 im) into (/ 1 im) * [misc]backup-simplify: Simplify (- (/ 1 im)) into (- (/ 1 im)) * [misc]backup-simplify: Simplify (- (/ 1 im)) into (- (/ 1 im)) * [misc]backup-simplify: Simplify (exp (- (/ 1 im))) into (exp (- (/ 1 im))) * [misc]taylor: Taking taylor expansion of (exp (/ 1 im)) in re * [misc]taylor: Taking taylor expansion of (/ 1 im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (/ 1 im) into (/ 1 im) * [misc]backup-simplify: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) * [misc]backup-simplify: Simplify (* 0.5 (cos (/ 1 re))) into (* 0.5 (cos (/ 1 re))) * [misc]backup-simplify: Simplify (+ (exp (- (/ 1 im))) (exp (/ 1 im))) into (+ (exp (/ 1 im)) (exp (- (/ 1 im)))) * [misc]backup-simplify: Simplify (* (* 0.5 (cos (/ 1 re))) (+ (exp (/ 1 im)) (exp (- (/ 1 im))))) into (* 0.5 (* (cos (/ 1 re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im)))))) * [misc]backup-simplify: Simplify (sqrt (* 0.5 (* (cos (/ 1 re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im))))))) into (* (sqrt (* (cos (/ 1 re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im)))))) (sqrt 0.5)) * [misc]backup-simplify: Simplify (- (/ 1 im)) into (- (/ 1 im)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (/ 1 im))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (* 0 (cos (/ 1 re)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 0.5 (cos (/ 1 re))) 0) (* 0 (+ (exp (/ 1 im)) (exp (- (/ 1 im)))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* 0.5 (* (cos (/ 1 re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im))))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (* (* 0.5 (cos (/ 1 re))) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in re * [misc]taylor: Taking taylor expansion of (* (* 0.5 (cos (/ 1 re))) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in re * [misc]taylor: Taking taylor expansion of (* 0.5 (cos (/ 1 re))) in re * [misc]taylor: Taking taylor expansion of 0.5 in re * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (cos (/ 1 re)) in re * [misc]taylor: Taking taylor expansion of (/ 1 re) in re * [misc]taylor: Taking taylor expansion of re in re * [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 (cos (/ 1 re)) into (cos (/ 1 re)) * [misc]taylor: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in re * [misc]taylor: Taking taylor expansion of (exp (- (/ 1 im))) in re * [misc]taylor: Taking taylor expansion of (- (/ 1 im)) in re * [misc]taylor: Taking taylor expansion of (/ 1 im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (/ 1 im) into (/ 1 im) * [misc]backup-simplify: Simplify (- (/ 1 im)) into (- (/ 1 im)) * [misc]backup-simplify: Simplify (- (/ 1 im)) into (- (/ 1 im)) * [misc]backup-simplify: Simplify (exp (- (/ 1 im))) into (exp (- (/ 1 im))) * [misc]taylor: Taking taylor expansion of (exp (/ 1 im)) in re * [misc]taylor: Taking taylor expansion of (/ 1 im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (/ 1 im) into (/ 1 im) * [misc]backup-simplify: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) * [misc]backup-simplify: Simplify (* 0.5 (cos (/ 1 re))) into (* 0.5 (cos (/ 1 re))) * [misc]backup-simplify: Simplify (+ (exp (- (/ 1 im))) (exp (/ 1 im))) into (+ (exp (/ 1 im)) (exp (- (/ 1 im)))) * [misc]backup-simplify: Simplify (* (* 0.5 (cos (/ 1 re))) (+ (exp (/ 1 im)) (exp (- (/ 1 im))))) into (* 0.5 (* (cos (/ 1 re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im)))))) * [misc]backup-simplify: Simplify (sqrt (* 0.5 (* (cos (/ 1 re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im))))))) into (* (sqrt (* (cos (/ 1 re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im)))))) (sqrt 0.5)) * [misc]backup-simplify: Simplify (- (/ 1 im)) into (- (/ 1 im)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (/ 1 im))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (* 0 (cos (/ 1 re)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 0.5 (cos (/ 1 re))) 0) (* 0 (+ (exp (/ 1 im)) (exp (- (/ 1 im)))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* 0.5 (* (cos (/ 1 re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im))))))))) into 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (* (cos (/ 1 re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im)))))) (sqrt 0.5)) in im * [misc]taylor: Taking taylor expansion of (sqrt (* (cos (/ 1 re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im)))))) in im * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im))))) in im * [misc]taylor: Taking taylor expansion of (cos (/ 1 re)) in im * [misc]taylor: Taking taylor expansion of (/ 1 re) in im * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]backup-simplify: Simplify (/ 1 re) into (/ 1 re) * [misc]backup-simplify: Simplify (cos (/ 1 re)) into (cos (/ 1 re)) * [misc]backup-simplify: Simplify (sin (/ 1 re)) into (sin (/ 1 re)) * [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 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))) 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]backup-simplify: Simplify (* (cos (/ 1 re)) 1) into (cos (/ 1 re)) * [misc]backup-simplify: Simplify (* (sin (/ 1 re)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1 re)) 0) into (cos (/ 1 re)) * [misc]backup-simplify: Simplify (+ (exp (/ 1 im)) (exp (- (/ 1 im)))) into (+ (exp (/ 1 im)) (exp (- (/ 1 im)))) * [misc]backup-simplify: Simplify (* (cos (/ 1 re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im))))) into (* (cos (/ 1 re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im))))) * [misc]backup-simplify: Simplify (sqrt (* (cos (/ 1 re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im)))))) into (sqrt (* (cos (/ 1 re)) (+ (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 (+ (* (cos (/ 1 re)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 re)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 re)) 0) (* 0 (+ (exp (/ 1 im)) (exp (- (/ 1 im)))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* (cos (/ 1 re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im)))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt 0.5) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]backup-simplify: Simplify (sqrt 0.5) into (sqrt 0.5) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 0.5))) into 0 * [misc]backup-simplify: Simplify (* (sqrt (* (cos (/ 1 re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im)))))) (sqrt 0.5)) into (* (sqrt (* (cos (/ 1 re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im)))))) (sqrt 0.5)) * [misc]backup-simplify: Simplify (* (sqrt (* (cos (/ 1 re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im)))))) (sqrt 0.5)) into (* (sqrt (* (cos (/ 1 re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im)))))) (sqrt 0.5)) * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (* (cos (/ 1 re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im)))))) 0) (* 0 (sqrt 0.5))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 1 im)) into (- (/ 1 im)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (/ 1 im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (cos (/ 1 re))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 0.5 (cos (/ 1 re))) 0) (+ (* 0 0) (* 0 (+ (exp (/ 1 im)) (exp (- (/ 1 im))))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (* (sqrt (* (cos (/ 1 re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im)))))) (sqrt 0.5)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [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 (sqr 0) (+)) (* 2 (sqrt 0.5))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 re)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 re)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 re)) 0) (+ (* 0 0) (* 0 (+ (exp (/ 1 im)) (exp (- (/ 1 im))))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (* (cos (/ 1 re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (* (cos (/ 1 re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im)))))) 0) (+ (* 0 0) (* 0 (sqrt 0.5)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 1 im)) into (- (/ 1 im)) * [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 (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)) (* 0 (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (/ 1 im))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)) (* 0 (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 re)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 0.5 (cos (/ 1 re))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (exp (/ 1 im)) (exp (- (/ 1 im)))))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (* (sqrt (* (cos (/ 1 re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im)))))) (sqrt 0.5)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (sqrt (* (cos (/ 1 re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im)))))) (sqrt 0.5)) into (* (sqrt (* (cos (/ 1 re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im)))))) (sqrt 0.5)) * [misc]approximate: Taking taylor expansion of (sqrt (* (* 0.5 (cos (/ 1 (- re)))) (+ (exp (- (/ 1 (- im)))) (exp (/ 1 (- im)))))) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (* (* 0.5 (cos (/ 1 (- re)))) (+ (exp (- (/ 1 (- im)))) (exp (/ 1 (- im)))))) in im * [misc]taylor: Taking taylor expansion of (* (* 0.5 (cos (/ 1 (- re)))) (+ (exp (- (/ 1 (- im)))) (exp (/ 1 (- im))))) in im * [misc]taylor: Taking taylor expansion of (* 0.5 (cos (/ 1 (- re)))) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- re))) in im * [misc]taylor: Taking taylor expansion of (/ 1 (- re)) in im * [misc]taylor: Taking taylor expansion of (- re) in im * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]backup-simplify: Simplify (- re) into (- re) * [misc]backup-simplify: Simplify (- re) into (- re) * [misc]backup-simplify: Simplify (/ 1 (- re)) into (/ -1 re) * [misc]backup-simplify: Simplify (cos (/ -1 re)) into (cos (/ -1 re)) * [misc]backup-simplify: Simplify (sin (/ -1 re)) into (sin (/ -1 re)) * [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 (* (cos (/ -1 re)) 1) into (cos (/ -1 re)) * [misc]backup-simplify: Simplify (* (sin (/ -1 re)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1 re)) 0) into (cos (/ -1 re)) * [misc]backup-simplify: Simplify (* 0.5 (cos (/ -1 re))) into (* 0.5 (cos (/ -1 re))) * [misc]backup-simplify: Simplify (+ (exp (/ 1 im)) (exp (/ -1 im))) into (+ (exp (/ 1 im)) (exp (/ -1 im))) * [misc]backup-simplify: Simplify (* (* 0.5 (cos (/ -1 re))) (+ (exp (/ 1 im)) (exp (/ -1 im)))) into (* 0.5 (* (cos (/ -1 re)) (+ (exp (/ 1 im)) (exp (/ -1 im))))) * [misc]backup-simplify: Simplify (sqrt (* 0.5 (* (cos (/ -1 re)) (+ (exp (/ 1 im)) (exp (/ -1 im)))))) into (* (sqrt (* (cos (/ -1 re)) (+ (exp (/ 1 im)) (exp (/ -1 im))))) (sqrt 0.5)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 re)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- re) into (- re) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 re) (/ 0 (- re))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 re)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (* 0 (cos (/ -1 re)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 0.5 (cos (/ -1 re))) 0) (* 0 (+ (exp (/ 1 im)) (exp (/ -1 im))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* 0.5 (* (cos (/ -1 re)) (+ (exp (/ 1 im)) (exp (/ -1 im)))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (* (* 0.5 (cos (/ 1 (- re)))) (+ (exp (- (/ 1 (- im)))) (exp (/ 1 (- im)))))) in re * [misc]taylor: Taking taylor expansion of (* (* 0.5 (cos (/ 1 (- re)))) (+ (exp (- (/ 1 (- im)))) (exp (/ 1 (- im))))) in re * [misc]taylor: Taking taylor expansion of (* 0.5 (cos (/ 1 (- re)))) in re * [misc]taylor: Taking taylor expansion of 0.5 in re * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- re))) in re * [misc]taylor: Taking taylor expansion of (/ 1 (- re)) in re * [misc]taylor: Taking taylor expansion of (- re) in re * [misc]taylor: Taking taylor expansion of re in re * [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 (cos (/ 1 (- re))) into (cos (/ -1 re)) * [misc]taylor: Taking taylor expansion of (+ (exp (- (/ 1 (- im)))) (exp (/ 1 (- im)))) in re * [misc]taylor: Taking taylor expansion of (exp (- (/ 1 (- im)))) in re * [misc]taylor: Taking taylor expansion of (- (/ 1 (- im))) in re * [misc]taylor: Taking taylor expansion of (/ 1 (- im)) in re * [misc]taylor: Taking taylor expansion of (- im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (/ 1 (- im)) into (/ -1 im) * [misc]backup-simplify: Simplify (- (/ -1 im)) into (/ 1 im) * [misc]backup-simplify: Simplify (- (/ -1 im)) into (/ 1 im) * [misc]backup-simplify: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- im))) in re * [misc]taylor: Taking taylor expansion of (/ 1 (- im)) in re * [misc]taylor: Taking taylor expansion of (- im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (/ 1 (- im)) into (/ -1 im) * [misc]backup-simplify: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) * [misc]backup-simplify: Simplify (* 0.5 (cos (/ -1 re))) into (* 0.5 (cos (/ -1 re))) * [misc]backup-simplify: Simplify (+ (exp (/ 1 im)) (exp (/ -1 im))) into (+ (exp (/ 1 im)) (exp (/ -1 im))) * [misc]backup-simplify: Simplify (* (* 0.5 (cos (/ -1 re))) (+ (exp (/ 1 im)) (exp (/ -1 im)))) into (* 0.5 (* (cos (/ -1 re)) (+ (exp (/ 1 im)) (exp (/ -1 im))))) * [misc]backup-simplify: Simplify (sqrt (* 0.5 (* (cos (/ -1 re)) (+ (exp (/ 1 im)) (exp (/ -1 im)))))) into (* (sqrt (* (cos (/ -1 re)) (+ (exp (/ 1 im)) (exp (/ -1 im))))) (sqrt 0.5)) * [misc]backup-simplify: Simplify (- (/ -1 im)) into (/ 1 im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (* 0 (cos (/ -1 re)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 0.5 (cos (/ -1 re))) 0) (* 0 (+ (exp (/ 1 im)) (exp (/ -1 im))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* 0.5 (* (cos (/ -1 re)) (+ (exp (/ 1 im)) (exp (/ -1 im)))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (* (* 0.5 (cos (/ 1 (- re)))) (+ (exp (- (/ 1 (- im)))) (exp (/ 1 (- im)))))) in re * [misc]taylor: Taking taylor expansion of (* (* 0.5 (cos (/ 1 (- re)))) (+ (exp (- (/ 1 (- im)))) (exp (/ 1 (- im))))) in re * [misc]taylor: Taking taylor expansion of (* 0.5 (cos (/ 1 (- re)))) in re * [misc]taylor: Taking taylor expansion of 0.5 in re * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- re))) in re * [misc]taylor: Taking taylor expansion of (/ 1 (- re)) in re * [misc]taylor: Taking taylor expansion of (- re) in re * [misc]taylor: Taking taylor expansion of re in re * [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 (cos (/ 1 (- re))) into (cos (/ -1 re)) * [misc]taylor: Taking taylor expansion of (+ (exp (- (/ 1 (- im)))) (exp (/ 1 (- im)))) in re * [misc]taylor: Taking taylor expansion of (exp (- (/ 1 (- im)))) in re * [misc]taylor: Taking taylor expansion of (- (/ 1 (- im))) in re * [misc]taylor: Taking taylor expansion of (/ 1 (- im)) in re * [misc]taylor: Taking taylor expansion of (- im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (/ 1 (- im)) into (/ -1 im) * [misc]backup-simplify: Simplify (- (/ -1 im)) into (/ 1 im) * [misc]backup-simplify: Simplify (- (/ -1 im)) into (/ 1 im) * [misc]backup-simplify: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- im))) in re * [misc]taylor: Taking taylor expansion of (/ 1 (- im)) in re * [misc]taylor: Taking taylor expansion of (- im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (/ 1 (- im)) into (/ -1 im) * [misc]backup-simplify: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) * [misc]backup-simplify: Simplify (* 0.5 (cos (/ -1 re))) into (* 0.5 (cos (/ -1 re))) * [misc]backup-simplify: Simplify (+ (exp (/ 1 im)) (exp (/ -1 im))) into (+ (exp (/ 1 im)) (exp (/ -1 im))) * [misc]backup-simplify: Simplify (* (* 0.5 (cos (/ -1 re))) (+ (exp (/ 1 im)) (exp (/ -1 im)))) into (* 0.5 (* (cos (/ -1 re)) (+ (exp (/ 1 im)) (exp (/ -1 im))))) * [misc]backup-simplify: Simplify (sqrt (* 0.5 (* (cos (/ -1 re)) (+ (exp (/ 1 im)) (exp (/ -1 im)))))) into (* (sqrt (* (cos (/ -1 re)) (+ (exp (/ 1 im)) (exp (/ -1 im))))) (sqrt 0.5)) * [misc]backup-simplify: Simplify (- (/ -1 im)) into (/ 1 im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (* 0 (cos (/ -1 re)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 0.5 (cos (/ -1 re))) 0) (* 0 (+ (exp (/ 1 im)) (exp (/ -1 im))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* 0.5 (* (cos (/ -1 re)) (+ (exp (/ 1 im)) (exp (/ -1 im)))))))) into 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (* (cos (/ -1 re)) (+ (exp (/ 1 im)) (exp (/ -1 im))))) (sqrt 0.5)) in im * [misc]taylor: Taking taylor expansion of (sqrt (* (cos (/ -1 re)) (+ (exp (/ 1 im)) (exp (/ -1 im))))) in im * [misc]taylor: Taking taylor expansion of (* (cos (/ -1 re)) (+ (exp (/ 1 im)) (exp (/ -1 im)))) in im * [misc]taylor: Taking taylor expansion of (cos (/ -1 re)) in im * [misc]taylor: Taking taylor expansion of (/ -1 re) in im * [misc]taylor: Taking taylor expansion of -1 in im * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]backup-simplify: Simplify (/ -1 re) into (/ -1 re) * [misc]backup-simplify: Simplify (cos (/ -1 re)) into (cos (/ -1 re)) * [misc]backup-simplify: Simplify (sin (/ -1 re)) into (sin (/ -1 re)) * [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 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)) in im * [misc]taylor: Taking taylor expansion of (/ -1 im) in im * [misc]taylor: Taking taylor expansion of -1 in im * [misc]backup-simplify: Simplify -1 into -1 * [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 (* (cos (/ -1 re)) 1) into (cos (/ -1 re)) * [misc]backup-simplify: Simplify (* (sin (/ -1 re)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1 re)) 0) into (cos (/ -1 re)) * [misc]backup-simplify: Simplify (+ (exp (/ 1 im)) (exp (/ -1 im))) into (+ (exp (/ 1 im)) (exp (/ -1 im))) * [misc]backup-simplify: Simplify (* (cos (/ -1 re)) (+ (exp (/ 1 im)) (exp (/ -1 im)))) into (* (cos (/ -1 re)) (+ (exp (/ 1 im)) (exp (/ -1 im)))) * [misc]backup-simplify: Simplify (sqrt (* (cos (/ -1 re)) (+ (exp (/ 1 im)) (exp (/ -1 im))))) into (sqrt (* (cos (/ -1 re)) (+ (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 (+ (* (cos (/ -1 re)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 re) (+ (* (/ -1 re) (/ 0 re)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 re)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 re)) 0) (* 0 (+ (exp (/ 1 im)) (exp (/ -1 im))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* (cos (/ -1 re)) (+ (exp (/ 1 im)) (exp (/ -1 im))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt 0.5) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]backup-simplify: Simplify (sqrt 0.5) into (sqrt 0.5) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 0.5))) into 0 * [misc]backup-simplify: Simplify (* (sqrt (* (cos (/ -1 re)) (+ (exp (/ 1 im)) (exp (/ -1 im))))) (sqrt 0.5)) into (* (sqrt (* (cos (/ -1 re)) (+ (exp (/ 1 im)) (exp (/ -1 im))))) (sqrt 0.5)) * [misc]backup-simplify: Simplify (* (sqrt (* (cos (/ -1 re)) (+ (exp (/ 1 im)) (exp (/ -1 im))))) (sqrt 0.5)) into (* (sqrt (* (cos (/ -1 re)) (+ (exp (/ 1 im)) (exp (/ -1 im))))) (sqrt 0.5)) * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (* (cos (/ -1 re)) (+ (exp (/ 1 im)) (exp (/ -1 im))))) 0) (* 0 (sqrt 0.5))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ -1 im)) into (/ 1 im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 im) (/ 0 (- im))) (* 0 (/ 0 (- im))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 im) (/ 0 (- im))) (* 0 (/ 0 (- im))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (cos (/ -1 re))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 0.5 (cos (/ -1 re))) 0) (+ (* 0 0) (* 0 (+ (exp (/ 1 im)) (exp (/ -1 im)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (* (sqrt (* (cos (/ -1 re)) (+ (exp (/ 1 im)) (exp (/ -1 im))))) (sqrt 0.5)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [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 (sqr 0) (+)) (* 2 (sqrt 0.5))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 re)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 re) (+ (* (/ -1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 re)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 re)) 0) (+ (* 0 0) (* 0 (+ (exp (/ 1 im)) (exp (/ -1 im)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (* (cos (/ -1 re)) (+ (exp (/ 1 im)) (exp (/ -1 im))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (* (cos (/ -1 re)) (+ (exp (/ 1 im)) (exp (/ -1 im))))) 0) (+ (* 0 0) (* 0 (sqrt 0.5)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ -1 im)) into (/ 1 im) * [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 (- im) into (- im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 im) (/ 0 (- im))) (* 0 (/ 0 (- im))) (* 0 (/ 0 (- im))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 im) (/ 0 (- im))) (* 0 (/ 0 (- im))) (* 0 (/ 0 (- im))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 re)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 0.5 (cos (/ -1 re))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (exp (/ 1 im)) (exp (/ -1 im))))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (* (sqrt (* (cos (/ -1 re)) (+ (exp (/ 1 im)) (exp (/ -1 im))))) (sqrt 0.5)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (sqrt (* (cos (/ -1 re)) (+ (exp (/ 1 im)) (exp (/ -1 im))))) (sqrt 0.5)) into (* (sqrt (* (cos (/ -1 re)) (+ (exp (/ 1 im)) (exp (/ -1 im))))) (sqrt 0.5)) * * * * [misc]progress: [ 3 / 3 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) in im * [misc]taylor: Taking taylor expansion of (* 0.5 (cos re)) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (cos re) in im * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]backup-simplify: Simplify (cos re) into (cos re) * [misc]backup-simplify: Simplify (sin re) into (sin re) * [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 (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) in re * [misc]taylor: Taking taylor expansion of (* 0.5 (cos re)) in re * [misc]taylor: Taking taylor expansion of 0.5 in re * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (cos re) in re * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (exp (- im)) (exp im)) in re * [misc]taylor: Taking taylor expansion of (exp (- im)) in re * [misc]taylor: Taking taylor expansion of (- im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (exp (- im)) into (exp (- im)) * [misc]taylor: Taking taylor expansion of (exp im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (exp im) into (exp im) * [misc]taylor: Taking taylor expansion of (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) in re * [misc]taylor: Taking taylor expansion of (* 0.5 (cos re)) in re * [misc]taylor: Taking taylor expansion of 0.5 in re * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (cos re) in re * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (exp (- im)) (exp im)) in re * [misc]taylor: Taking taylor expansion of (exp (- im)) in re * [misc]taylor: Taking taylor expansion of (- im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (exp (- im)) into (exp (- im)) * [misc]taylor: Taking taylor expansion of (exp im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (exp im) into (exp im) * [misc]backup-simplify: Simplify (* 0.5 1) into 0.5 * [misc]backup-simplify: Simplify (+ (exp (- im)) (exp im)) into (+ (exp im) (exp (- im))) * [misc]backup-simplify: Simplify (* 0.5 (+ (exp im) (exp (- im)))) into (* 0.5 (+ (exp im) (exp (- im)))) * [misc]taylor: Taking taylor expansion of (* 0.5 (+ (exp im) (exp (- im)))) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [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]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]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]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (* 0.5 2) into 1.0 * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- im)) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp im) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (* 0 (+ (exp im) (exp (- im))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (- 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 (+ (* 0.5 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp im) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (+ (* 0.5 (- 1/2)) (+ (* 0 0) (* 0 1))) into (- 0.25) * [misc]backup-simplify: Simplify (+ (* 0.5 0) (+ (* 0 0) (* (- 0.25) (+ (exp im) (exp (- im)))))) into (- (+ (* 0.25 (exp im)) (* 0.25 (exp (- im))))) * [misc]taylor: Taking taylor expansion of (- (+ (* 0.25 (exp im)) (* 0.25 (exp (- im))))) in im * [misc]taylor: Taking taylor expansion of (+ (* 0.25 (exp im)) (* 0.25 (exp (- im)))) in im * [misc]taylor: Taking taylor expansion of (* 0.25 (exp im)) in im * [misc]taylor: Taking taylor expansion of 0.25 in im * [misc]backup-simplify: Simplify 0.25 into 0.25 * [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 (* 0.25 (exp (- im))) in im * [misc]taylor: Taking taylor expansion of 0.25 in im * [misc]backup-simplify: Simplify 0.25 into 0.25 * [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]backup-simplify: Simplify (* 0.25 1) into 0.25 * [misc]backup-simplify: Simplify (* 0.25 1) into 0.25 * [misc]backup-simplify: Simplify (+ 0.25 0.25) into 0.5 * [misc]backup-simplify: Simplify (- 0.5) into (- 0.5) * [misc]backup-simplify: Simplify (- 0.5) into (- 0.5) * [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 (- 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 (+ 1/2 1/2) into 1 * [misc]backup-simplify: Simplify (+ (* 0.5 1) (+ (* 0 0) (* 0 2))) into 0.5 * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]backup-simplify: Simplify (+ (* 0.5 (sqr (* im 1))) (+ (* (- 0.5) (sqr (* 1 re))) 1.0)) into (- (+ (* 0.5 (sqr im)) 1.0) (* 0.5 (sqr re))) * [misc]approximate: Taking taylor expansion of (* (* 0.5 (cos (/ 1 re))) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (* (* 0.5 (cos (/ 1 re))) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in im * [misc]taylor: Taking taylor expansion of (* 0.5 (cos (/ 1 re))) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (cos (/ 1 re)) in im * [misc]taylor: Taking taylor expansion of (/ 1 re) in im * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]backup-simplify: Simplify (/ 1 re) into (/ 1 re) * [misc]backup-simplify: Simplify (cos (/ 1 re)) into (cos (/ 1 re)) * [misc]backup-simplify: Simplify (sin (/ 1 re)) into (sin (/ 1 re)) * [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 (* (* 0.5 (cos (/ 1 re))) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in re * [misc]taylor: Taking taylor expansion of (* 0.5 (cos (/ 1 re))) in re * [misc]taylor: Taking taylor expansion of 0.5 in re * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (cos (/ 1 re)) in re * [misc]taylor: Taking taylor expansion of (/ 1 re) in re * [misc]taylor: Taking taylor expansion of re in re * [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 (cos (/ 1 re)) into (cos (/ 1 re)) * [misc]taylor: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in re * [misc]taylor: Taking taylor expansion of (exp (- (/ 1 im))) in re * [misc]taylor: Taking taylor expansion of (- (/ 1 im)) in re * [misc]taylor: Taking taylor expansion of (/ 1 im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (/ 1 im) into (/ 1 im) * [misc]backup-simplify: Simplify (- (/ 1 im)) into (- (/ 1 im)) * [misc]backup-simplify: Simplify (- (/ 1 im)) into (- (/ 1 im)) * [misc]backup-simplify: Simplify (exp (- (/ 1 im))) into (exp (- (/ 1 im))) * [misc]taylor: Taking taylor expansion of (exp (/ 1 im)) in re * [misc]taylor: Taking taylor expansion of (/ 1 im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (/ 1 im) into (/ 1 im) * [misc]backup-simplify: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) * [misc]taylor: Taking taylor expansion of (* (* 0.5 (cos (/ 1 re))) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in re * [misc]taylor: Taking taylor expansion of (* 0.5 (cos (/ 1 re))) in re * [misc]taylor: Taking taylor expansion of 0.5 in re * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (cos (/ 1 re)) in re * [misc]taylor: Taking taylor expansion of (/ 1 re) in re * [misc]taylor: Taking taylor expansion of re in re * [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 (cos (/ 1 re)) into (cos (/ 1 re)) * [misc]taylor: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in re * [misc]taylor: Taking taylor expansion of (exp (- (/ 1 im))) in re * [misc]taylor: Taking taylor expansion of (- (/ 1 im)) in re * [misc]taylor: Taking taylor expansion of (/ 1 im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (/ 1 im) into (/ 1 im) * [misc]backup-simplify: Simplify (- (/ 1 im)) into (- (/ 1 im)) * [misc]backup-simplify: Simplify (- (/ 1 im)) into (- (/ 1 im)) * [misc]backup-simplify: Simplify (exp (- (/ 1 im))) into (exp (- (/ 1 im))) * [misc]taylor: Taking taylor expansion of (exp (/ 1 im)) in re * [misc]taylor: Taking taylor expansion of (/ 1 im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (/ 1 im) into (/ 1 im) * [misc]backup-simplify: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) * [misc]backup-simplify: Simplify (* 0.5 (cos (/ 1 re))) into (* 0.5 (cos (/ 1 re))) * [misc]backup-simplify: Simplify (+ (exp (- (/ 1 im))) (exp (/ 1 im))) into (+ (exp (/ 1 im)) (exp (- (/ 1 im)))) * [misc]backup-simplify: Simplify (* (* 0.5 (cos (/ 1 re))) (+ (exp (/ 1 im)) (exp (- (/ 1 im))))) into (* 0.5 (* (cos (/ 1 re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im)))))) * [misc]taylor: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im)))))) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im))))) in im * [misc]taylor: Taking taylor expansion of (cos (/ 1 re)) in im * [misc]taylor: Taking taylor expansion of (/ 1 re) in im * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]backup-simplify: Simplify (/ 1 re) into (/ 1 re) * [misc]backup-simplify: Simplify (cos (/ 1 re)) into (cos (/ 1 re)) * [misc]backup-simplify: Simplify (sin (/ 1 re)) into (sin (/ 1 re)) * [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 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))) 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]backup-simplify: Simplify (* (cos (/ 1 re)) 1) into (cos (/ 1 re)) * [misc]backup-simplify: Simplify (* (sin (/ 1 re)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1 re)) 0) into (cos (/ 1 re)) * [misc]backup-simplify: Simplify (+ (exp (/ 1 im)) (exp (- (/ 1 im)))) into (+ (exp (/ 1 im)) (exp (- (/ 1 im)))) * [misc]backup-simplify: Simplify (* (cos (/ 1 re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im))))) into (* (cos (/ 1 re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im))))) * [misc]backup-simplify: Simplify (* 0.5 (* (cos (/ 1 re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im)))))) into (* 0.5 (* (cos (/ 1 re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im)))))) * [misc]backup-simplify: Simplify (* 0.5 (* (cos (/ 1 re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im)))))) into (* 0.5 (* (cos (/ 1 re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im)))))) * [misc]backup-simplify: Simplify (- (/ 1 im)) into (- (/ 1 im)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (/ 1 im))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (* 0 (cos (/ 1 re)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 0.5 (cos (/ 1 re))) 0) (* 0 (+ (exp (/ 1 im)) (exp (- (/ 1 im)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 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 (+ (* (cos (/ 1 re)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 re)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 re)) 0) (* 0 (+ (exp (/ 1 im)) (exp (- (/ 1 im)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (* 0 (* (cos (/ 1 re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 1 im)) into (- (/ 1 im)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (/ 1 im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (cos (/ 1 re))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 0.5 (cos (/ 1 re))) 0) (+ (* 0 0) (* 0 (+ (exp (/ 1 im)) (exp (- (/ 1 im))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [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 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 re)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 re)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 re)) 0) (+ (* 0 0) (* 0 (+ (exp (/ 1 im)) (exp (- (/ 1 im))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* (cos (/ 1 re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 1 im)) into (- (/ 1 im)) * [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 (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)) (* 0 (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (/ 1 im))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)) (* 0 (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 re)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 0.5 (cos (/ 1 re))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (exp (/ 1 im)) (exp (- (/ 1 im)))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 0.5 (* (cos (/ 1 re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im)))))) into (* 0.5 (* (cos (/ 1 re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im)))))) * [misc]approximate: Taking taylor expansion of (* (* 0.5 (cos (/ 1 (- re)))) (+ (exp (- (/ 1 (- im)))) (exp (/ 1 (- im))))) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (* (* 0.5 (cos (/ 1 (- re)))) (+ (exp (- (/ 1 (- im)))) (exp (/ 1 (- im))))) in im * [misc]taylor: Taking taylor expansion of (* 0.5 (cos (/ 1 (- re)))) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- re))) in im * [misc]taylor: Taking taylor expansion of (/ 1 (- re)) in im * [misc]taylor: Taking taylor expansion of (- re) in im * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]backup-simplify: Simplify (- re) into (- re) * [misc]backup-simplify: Simplify (- re) into (- re) * [misc]backup-simplify: Simplify (/ 1 (- re)) into (/ -1 re) * [misc]backup-simplify: Simplify (cos (/ -1 re)) into (cos (/ -1 re)) * [misc]backup-simplify: Simplify (sin (/ -1 re)) into (sin (/ -1 re)) * [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 (* (* 0.5 (cos (/ 1 (- re)))) (+ (exp (- (/ 1 (- im)))) (exp (/ 1 (- im))))) in re * [misc]taylor: Taking taylor expansion of (* 0.5 (cos (/ 1 (- re)))) in re * [misc]taylor: Taking taylor expansion of 0.5 in re * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- re))) in re * [misc]taylor: Taking taylor expansion of (/ 1 (- re)) in re * [misc]taylor: Taking taylor expansion of (- re) in re * [misc]taylor: Taking taylor expansion of re in re * [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 (cos (/ 1 (- re))) into (cos (/ -1 re)) * [misc]taylor: Taking taylor expansion of (+ (exp (- (/ 1 (- im)))) (exp (/ 1 (- im)))) in re * [misc]taylor: Taking taylor expansion of (exp (- (/ 1 (- im)))) in re * [misc]taylor: Taking taylor expansion of (- (/ 1 (- im))) in re * [misc]taylor: Taking taylor expansion of (/ 1 (- im)) in re * [misc]taylor: Taking taylor expansion of (- im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (/ 1 (- im)) into (/ -1 im) * [misc]backup-simplify: Simplify (- (/ -1 im)) into (/ 1 im) * [misc]backup-simplify: Simplify (- (/ -1 im)) into (/ 1 im) * [misc]backup-simplify: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- im))) in re * [misc]taylor: Taking taylor expansion of (/ 1 (- im)) in re * [misc]taylor: Taking taylor expansion of (- im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (/ 1 (- im)) into (/ -1 im) * [misc]backup-simplify: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) * [misc]taylor: Taking taylor expansion of (* (* 0.5 (cos (/ 1 (- re)))) (+ (exp (- (/ 1 (- im)))) (exp (/ 1 (- im))))) in re * [misc]taylor: Taking taylor expansion of (* 0.5 (cos (/ 1 (- re)))) in re * [misc]taylor: Taking taylor expansion of 0.5 in re * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- re))) in re * [misc]taylor: Taking taylor expansion of (/ 1 (- re)) in re * [misc]taylor: Taking taylor expansion of (- re) in re * [misc]taylor: Taking taylor expansion of re in re * [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 (cos (/ 1 (- re))) into (cos (/ -1 re)) * [misc]taylor: Taking taylor expansion of (+ (exp (- (/ 1 (- im)))) (exp (/ 1 (- im)))) in re * [misc]taylor: Taking taylor expansion of (exp (- (/ 1 (- im)))) in re * [misc]taylor: Taking taylor expansion of (- (/ 1 (- im))) in re * [misc]taylor: Taking taylor expansion of (/ 1 (- im)) in re * [misc]taylor: Taking taylor expansion of (- im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (/ 1 (- im)) into (/ -1 im) * [misc]backup-simplify: Simplify (- (/ -1 im)) into (/ 1 im) * [misc]backup-simplify: Simplify (- (/ -1 im)) into (/ 1 im) * [misc]backup-simplify: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- im))) in re * [misc]taylor: Taking taylor expansion of (/ 1 (- im)) in re * [misc]taylor: Taking taylor expansion of (- im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (/ 1 (- im)) into (/ -1 im) * [misc]backup-simplify: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) * [misc]backup-simplify: Simplify (* 0.5 (cos (/ -1 re))) into (* 0.5 (cos (/ -1 re))) * [misc]backup-simplify: Simplify (+ (exp (/ 1 im)) (exp (/ -1 im))) into (+ (exp (/ 1 im)) (exp (/ -1 im))) * [misc]backup-simplify: Simplify (* (* 0.5 (cos (/ -1 re))) (+ (exp (/ 1 im)) (exp (/ -1 im)))) into (* 0.5 (* (cos (/ -1 re)) (+ (exp (/ 1 im)) (exp (/ -1 im))))) * [misc]taylor: Taking taylor expansion of (* 0.5 (* (cos (/ -1 re)) (+ (exp (/ 1 im)) (exp (/ -1 im))))) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (* (cos (/ -1 re)) (+ (exp (/ 1 im)) (exp (/ -1 im)))) in im * [misc]taylor: Taking taylor expansion of (cos (/ -1 re)) in im * [misc]taylor: Taking taylor expansion of (/ -1 re) in im * [misc]taylor: Taking taylor expansion of -1 in im * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]backup-simplify: Simplify (/ -1 re) into (/ -1 re) * [misc]backup-simplify: Simplify (cos (/ -1 re)) into (cos (/ -1 re)) * [misc]backup-simplify: Simplify (sin (/ -1 re)) into (sin (/ -1 re)) * [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 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)) in im * [misc]taylor: Taking taylor expansion of (/ -1 im) in im * [misc]taylor: Taking taylor expansion of -1 in im * [misc]backup-simplify: Simplify -1 into -1 * [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 (* (cos (/ -1 re)) 1) into (cos (/ -1 re)) * [misc]backup-simplify: Simplify (* (sin (/ -1 re)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1 re)) 0) into (cos (/ -1 re)) * [misc]backup-simplify: Simplify (+ (exp (/ 1 im)) (exp (/ -1 im))) into (+ (exp (/ 1 im)) (exp (/ -1 im))) * [misc]backup-simplify: Simplify (* (cos (/ -1 re)) (+ (exp (/ 1 im)) (exp (/ -1 im)))) into (* (cos (/ -1 re)) (+ (exp (/ 1 im)) (exp (/ -1 im)))) * [misc]backup-simplify: Simplify (* 0.5 (* (cos (/ -1 re)) (+ (exp (/ 1 im)) (exp (/ -1 im))))) into (* 0.5 (* (cos (/ -1 re)) (+ (exp (/ 1 im)) (exp (/ -1 im))))) * [misc]backup-simplify: Simplify (* 0.5 (* (cos (/ -1 re)) (+ (exp (/ 1 im)) (exp (/ -1 im))))) into (* 0.5 (* (cos (/ -1 re)) (+ (exp (/ 1 im)) (exp (/ -1 im))))) * [misc]backup-simplify: Simplify (- (/ -1 im)) into (/ 1 im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (* 0 (cos (/ -1 re)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 0.5 (cos (/ -1 re))) 0) (* 0 (+ (exp (/ 1 im)) (exp (/ -1 im))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 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 (+ (* (cos (/ -1 re)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 re) (+ (* (/ -1 re) (/ 0 re)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 re)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 re)) 0) (* 0 (+ (exp (/ 1 im)) (exp (/ -1 im))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (* 0 (* (cos (/ -1 re)) (+ (exp (/ 1 im)) (exp (/ -1 im)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ -1 im)) into (/ 1 im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 im) (/ 0 (- im))) (* 0 (/ 0 (- im))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 im) (/ 0 (- im))) (* 0 (/ 0 (- im))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (cos (/ -1 re))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 0.5 (cos (/ -1 re))) 0) (+ (* 0 0) (* 0 (+ (exp (/ 1 im)) (exp (/ -1 im)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [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 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 re)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 re) (+ (* (/ -1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 re)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 re)) 0) (+ (* 0 0) (* 0 (+ (exp (/ 1 im)) (exp (/ -1 im)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* (cos (/ -1 re)) (+ (exp (/ 1 im)) (exp (/ -1 im))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ -1 im)) into (/ 1 im) * [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 (- im) into (- im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 im) (/ 0 (- im))) (* 0 (/ 0 (- im))) (* 0 (/ 0 (- im))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 im) (/ 0 (- im))) (* 0 (/ 0 (- im))) (* 0 (/ 0 (- im))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 re)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 0.5 (cos (/ -1 re))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (exp (/ 1 im)) (exp (/ -1 im))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 0.5 (* (cos (/ -1 re)) (+ (exp (/ 1 im)) (exp (/ -1 im))))) into (* 0.5 (* (cos (/ -1 re)) (+ (exp (/ 1 im)) (exp (/ -1 im))))) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 3 ] rewriting at (2) * * * * [misc]progress: [ 2 / 3 ] rewriting at (2 1) * * * * [misc]progress: [ 3 / 3 ] rewriting at (2 1 1) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* (sqr im) (sqr (sqrt 0.5))) (* 2 (sqr (sqrt 0.5)))) (* 0.5 (sqr re))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (96 enodes) * [exit]simplify: Simplified to (* 0.5 (fma (+ im re) (- im re) 2)) * * * * [misc]progress: [ 2 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (/ 1 re)) (* (+ (exp (/ 1 im)) (exp (- (/ 1 im)))) (sqr (sqrt 0.5)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (176 enodes) * * [misc]simplify: iters left: 1 (254 enodes) * [exit]simplify: Simplified to (* (fma (cos (/ 1 re)) (exp (/ 1 im)) (/ (cos (/ 1 re)) (exp (/ 1 im)))) 0.5) * * * * [misc]progress: [ 3 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (/ -1 re)) (* (+ (exp (/ 1 im)) (exp (/ -1 im))) (sqr (sqrt 0.5)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (151 enodes) * * [misc]simplify: iters left: 1 (161 enodes) * [exit]simplify: Simplified to (* (* (cos (/ -1 re)) 0.5) (+ (exp (/ -1 im)) (exp (/ 1 im)))) * * * * [misc]progress: [ 4 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr (- (+ (* 1/2 (/ (* (sqr im) (sqrt 0.5)) (sqrt 2))) (* (sqrt 2) (sqrt 0.5))) (* 0.25 (/ (* (sqrt 1/2) (sqr re)) (sqrt 0.5))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (157 enodes) * * [misc]simplify: iters left: 2 (340 enodes) * [exit]simplify: Simplified to (* (- (fma (* 1/2 (sqrt 0.5)) (/ (* im im) (sqrt 2)) (* (sqrt 2) (sqrt 0.5))) (/ (* (sqr re) 0.25) (/ (sqrt 0.5) (sqrt 1/2)))) (- (fma (* 1/2 (sqrt 0.5)) (/ (* im im) (sqrt 2)) (* (sqrt 2) (sqrt 0.5))) (/ (* (sqr re) 0.25) (/ (sqrt 0.5) (sqrt 1/2))))) * * * * [misc]progress: [ 5 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr (* (sqrt (* (cos (/ 1 re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im)))))) (sqrt 0.5))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (142 enodes) * [exit]simplify: Simplified to (* 0.5 (fma (cos (/ 1 re)) (exp (/ 1 im)) (/ (cos (/ 1 re)) (exp (/ 1 im))))) * * * * [misc]progress: [ 6 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr (* (sqrt (* (cos (/ -1 re)) (+ (exp (/ 1 im)) (exp (/ -1 im))))) (sqrt 0.5))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (97 enodes) * [exit]simplify: Simplified to (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (* (cos (/ -1 re)) 0.5)) * * * * [misc]progress: [ 7 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr (sqrt (- (+ (* 0.5 (sqr im)) 1.0) (* 0.5 (sqr re))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * [exit]simplify: Simplified to (fma (- (* im im) (sqr re)) 0.5 1.0) * * * * [misc]progress: [ 8 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr (sqrt (* 0.5 (* (cos (/ 1 re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im)))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (147 enodes) * * [misc]simplify: iters left: 1 (219 enodes) * [exit]simplify: Simplified to (* 0.5 (fma (cos (/ 1 re)) (exp (/ 1 im)) (/ (cos (/ 1 re)) (exp (/ 1 im))))) * * * * [misc]progress: [ 9 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr (sqrt (* 0.5 (* (cos (/ -1 re)) (+ (exp (/ 1 im)) (exp (/ -1 im))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (109 enodes) * [exit]simplify: Simplified to (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (* 0.5 (cos (/ -1 re)))) * * * * [misc]progress: [ 10 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (sqr (sqrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (184 enodes) * * [misc]simplify: iters left: 1 (248 enodes) * [exit]simplify: Simplified to (expm1 (* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re))) * [exit]simplify: Simplified to (expm1 (* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re))) * * * * [misc]progress: [ 11 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (sqr (sqrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (184 enodes) * * [misc]simplify: iters left: 1 (248 enodes) * [exit]simplify: Simplified to (log1p (* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re))) * [exit]simplify: Simplified to (log1p (* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re))) * * * * [misc]progress: [ 12 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqr (sqrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (158 enodes) * * [misc]simplify: iters left: 1 (185 enodes) * [exit]simplify: Simplified to (log (* (fma (exp im) (cos re) (/ (cos re) (exp im))) 0.5)) * [exit]simplify: Simplified to (log (* (fma (exp im) (cos re) (/ (cos re) (exp im))) 0.5)) * * * * [misc]progress: [ 15 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqr (sqrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (128 enodes) * * [misc]simplify: iters left: 2 (199 enodes) * * [misc]simplify: iters left: 1 (243 enodes) * [exit]simplify: Simplified to (pow (exp 0.5) (fma (cos re) (exp im) (/ (cos re) (exp im)))) * [exit]simplify: Simplified to (pow (exp 0.5) (fma (cos re) (exp im) (/ (cos re) (exp im)))) * * * * [misc]progress: [ 16 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqr (sqrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (184 enodes) * * [misc]simplify: iters left: 1 (248 enodes) * [exit]simplify: Simplified to (cbrt (* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re))) * [exit]simplify: Simplified to (cbrt (* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re))) * * * * [misc]progress: [ 17 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (sqr (sqrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (190 enodes) * [exit]simplify: Simplified to (cube (* (fma (cos re) (exp im) (/ (cos re) (exp im))) 0.5)) * [exit]simplify: Simplified to (cube (* (fma (cos re) (exp im) (/ (cos re) (exp im))) 0.5)) * * * * [misc]progress: [ 18 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqr (sqrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (177 enodes) * * [misc]simplify: iters left: 1 (228 enodes) * [exit]simplify: Simplified to (sqrt (* 0.5 (fma (cos re) (exp im) (/ (cos re) (exp im))))) * [exit]simplify: Simplified to (sqrt (* 0.5 (fma (cos re) (exp im) (/ (cos re) (exp im))))) * * * * [misc]progress: [ 19 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr (sqrt (* 0.5 (cos re)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [exit]simplify: Simplified to (* (cos re) 0.5) * [exit]simplify: Simplified to (* (cos re) 0.5) * [enter]simplify: Simplifying (sqr (sqrt (+ (exp (- im)) (exp im)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (+ (exp (- im)) (exp im)) * [exit]simplify: Simplified to (+ (exp (- im)) (exp im)) * * * * [misc]progress: [ 20 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqr 1) * [exit]simplify: Simplified to (sqr 1) * [enter]simplify: Simplifying (sqr (sqrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (159 enodes) * * [misc]simplify: iters left: 1 (217 enodes) * [exit]simplify: Simplified to (* (fma (cos re) (exp im) (/ (cos re) (exp im))) 0.5) * [exit]simplify: Simplified to (* (fma (cos re) (exp im) (/ (cos re) (exp im))) 0.5) * * * * [misc]progress: [ 21 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr (sqrt (* (* 0.5 (cos re)) (- (pow (exp (- im)) 3) (pow (exp im) 3))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (87 enodes) * [exit]simplify: Simplified to (* (* (cos re) 0.5) (- (cube (exp (- im))) (cube (exp im)))) * [exit]simplify: Simplified to (* (* (cos re) 0.5) (- (cube (exp (- im))) (cube (exp im)))) * [enter]simplify: Simplifying (sqr (sqrt (+ (sqr (exp (- im))) (- (sqr (exp im)) (* (exp (- im)) (exp im)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (98 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: [ 22 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr (sqrt (* (* 0.5 (cos re)) (- (sqr (exp (- im))) (sqr (exp im)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (171 enodes) * * [misc]simplify: iters left: 1 (383 enodes) * [exit]simplify: Simplified to (* (* (cos re) 0.5) (* (- (exp (- im)) (exp im)) (+ (exp (- im)) (exp im)))) * [exit]simplify: Simplified to (* (* (cos re) 0.5) (* (- (exp (- im)) (exp im)) (+ (exp (- im)) (exp im)))) * [enter]simplify: Simplifying (sqr (sqrt (- (exp (- im)) (exp im)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (- (exp (- im)) (exp im)) * [exit]simplify: Simplified to (- (exp (- im)) (exp im)) * * * * [misc]progress: [ 23 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (sqrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (115 enodes) * * [misc]simplify: iters left: 1 (133 enodes) * [exit]simplify: Simplified to (expm1 (sqrt (* (fma (exp im) 0.5 (/ 0.5 (exp im))) (cos re)))) * [exit]simplify: Simplified to (expm1 (sqrt (* (fma (exp im) 0.5 (/ 0.5 (exp im))) (cos re)))) * * * * [misc]progress: [ 26 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (sqrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (115 enodes) * * [misc]simplify: iters left: 1 (133 enodes) * [exit]simplify: Simplified to (log1p (sqrt (* (fma (exp im) 0.5 (/ 0.5 (exp im))) (cos re)))) * [exit]simplify: Simplified to (log1p (sqrt (* (fma (exp im) 0.5 (/ 0.5 (exp im))) (cos re)))) * * * * [misc]progress: [ 27 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (115 enodes) * * [misc]simplify: iters left: 1 (133 enodes) * [exit]simplify: Simplified to (log (sqrt (* (fma (exp im) 0.5 (/ 0.5 (exp im))) (cos re)))) * [exit]simplify: Simplified to (log (sqrt (* (fma (exp im) 0.5 (/ 0.5 (exp im))) (cos re)))) * * * * [misc]progress: [ 30 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (115 enodes) * * [misc]simplify: iters left: 1 (133 enodes) * [exit]simplify: Simplified to (exp (sqrt (* (fma (exp im) 0.5 (/ 0.5 (exp im))) (cos re)))) * [exit]simplify: Simplified to (exp (sqrt (* (fma (exp im) 0.5 (/ 0.5 (exp im))) (cos re)))) * * * * [misc]progress: [ 31 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (115 enodes) * * [misc]simplify: iters left: 1 (133 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (* (fma (exp im) 0.5 (/ 0.5 (exp im))) (cos re)))) * [exit]simplify: Simplified to (cbrt (sqrt (* (fma (exp im) 0.5 (/ 0.5 (exp im))) (cos re)))) * * * * [misc]progress: [ 32 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (sqrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (198 enodes) * * [misc]simplify: iters left: 1 (336 enodes) * [exit]simplify: Simplified to (* (sqrt (* (cos re) (fma (exp im) 0.5 (/ 0.5 (exp im))))) (* (cos re) (fma (exp im) 0.5 (/ 0.5 (exp im))))) * [exit]simplify: Simplified to (* (sqrt (* (cos re) (fma (exp im) 0.5 (/ 0.5 (exp im))))) (* (cos re) (fma (exp im) 0.5 (/ 0.5 (exp im))))) * * * * [misc]progress: [ 33 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* 0.5 (cos re))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (sqrt (* (cos re) 0.5)) * [exit]simplify: Simplified to (sqrt (* (cos re) 0.5)) * [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: [ 34 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (* 0.5 (cos re)) (- (pow (exp (- im)) 3) (pow (exp im) 3)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (88 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cos re) 0.5) (- (cube (exp (- im))) (cube (exp im))))) * [exit]simplify: Simplified to (sqrt (* (* (cos re) 0.5) (- (cube (exp (- im))) (cube (exp im))))) * [enter]simplify: Simplifying (sqrt (+ (sqr (exp (- im))) (- (sqr (exp im)) (* (exp (- im)) (exp im))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (104 enodes) * [exit]simplify: Simplified to (sqrt (fma (exp (- im)) (exp (- im)) (expm1 (+ im im)))) * [exit]simplify: Simplified to (sqrt (fma (exp (- im)) (exp (- im)) (expm1 (+ im im)))) * * * * [misc]progress: [ 35 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (* 0.5 (cos re)) (- (sqr (exp (- im))) (sqr (exp im))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (180 enodes) * * [misc]simplify: iters left: 1 (395 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cos re) 0.5) (* (+ (exp (- im)) (exp im)) (- (exp (- im)) (exp im))))) * [exit]simplify: Simplified to (sqrt (* (* (cos re) 0.5) (* (+ (exp (- im)) (exp im)) (- (exp (- im)) (exp im))))) * [enter]simplify: Simplifying (sqrt (- (exp (- im)) (exp im))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (sqrt (- (exp (- im)) (exp im))) * [exit]simplify: Simplified to (sqrt (- (exp (- im)) (exp im))) * * * * [misc]progress: [ 36 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (115 enodes) * * [misc]simplify: iters left: 1 (133 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (* (fma (exp im) 0.5 (/ 0.5 (exp im))) (cos re)))) * [exit]simplify: Simplified to (sqrt (sqrt (* (fma (exp im) 0.5 (/ 0.5 (exp im))) (cos re)))) * * * * [misc]progress: [ 37 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (132 enodes) * * [misc]simplify: iters left: 1 (151 enodes) * [exit]simplify: Simplified to (expm1 (* (fma (exp im) (cos re) (/ (cos re) (exp im))) 0.5)) * [exit]simplify: Simplified to (expm1 (* (fma (exp im) (cos re) (/ (cos re) (exp im))) 0.5)) * * * * [misc]progress: [ 41 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (132 enodes) * * [misc]simplify: iters left: 1 (151 enodes) * [exit]simplify: Simplified to (log1p (* (fma (exp im) (cos re) (/ (cos re) (exp im))) 0.5)) * [exit]simplify: Simplified to (log1p (* (fma (exp im) (cos re) (/ (cos re) (exp im))) 0.5)) * * * * [misc]progress: [ 42 / 61 ] simplifiying candidate # * [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) * [exit]simplify: Simplified to (* (fma (exp im) (cos re) (/ (cos re) (exp im))) 0.5) * * * * [misc]progress: [ 43 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (* 0.5 (cos re))) (log (+ (exp (- im)) (exp im)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * [exit]simplify: Simplified to (+ (log (* (cos re) 0.5)) (log (+ (exp im) (exp (- im))))) * [exit]simplify: Simplified to (+ (log (* (cos re) 0.5)) (log (+ (exp im) (exp (- im))))) * * * * [misc]progress: [ 45 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (151 enodes) * * [misc]simplify: iters left: 1 (178 enodes) * [exit]simplify: Simplified to (log (* (fma (exp im) 0.5 (/ 0.5 (exp im))) (cos re))) * [exit]simplify: Simplified to (log (* (fma (exp im) 0.5 (/ 0.5 (exp im))) (cos re))) * * * * [misc]progress: [ 46 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (122 enodes) * * [misc]simplify: iters left: 2 (172 enodes) * * [misc]simplify: iters left: 1 (209 enodes) * [exit]simplify: Simplified to (pow (exp 0.5) (fma (exp im) (cos re) (/ (cos re) (exp im)))) * [exit]simplify: Simplified to (pow (exp 0.5) (fma (exp im) (cos re) (/ (cos re) (exp im)))) * * * * [misc]progress: [ 47 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cube (* 0.5 (cos re))) (cube (+ (exp (- im)) (exp im)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (252 enodes) * * [misc]simplify: iters left: 1 (495 enodes) * [exit]simplify: Simplified to (* (cube (+ (exp (- im)) (exp im))) (cube (* (cos re) 0.5))) * [exit]simplify: Simplified to (* (cube (+ (exp (- im)) (exp im))) (cube (* (cos re) 0.5))) * * * * [misc]progress: [ 48 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (132 enodes) * * [misc]simplify: iters left: 1 (151 enodes) * [exit]simplify: Simplified to (cbrt (* (fma (exp im) (cos re) (/ (cos re) (exp im))) 0.5)) * [exit]simplify: Simplified to (cbrt (* (fma (exp im) (cos re) (/ (cos re) (exp im))) 0.5)) * * * * [misc]progress: [ 49 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (88 enodes) * * [misc]simplify: iters left: 3 (206 enodes) * [exit]simplify: Simplified to (cube (* (fma (cos re) (exp im) (/ (cos re) (exp im))) 0.5)) * [exit]simplify: Simplified to (cube (* (fma (cos re) (exp im) (/ (cos re) (exp im))) 0.5)) * * * * [misc]progress: [ 50 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* 0.5 (cos re))) (cbrt (+ (exp (- im)) (exp im)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (exp im) (exp (- im)))) (cbrt (* (cos re) 0.5))) * [exit]simplify: Simplified to (* (cbrt (+ (exp im) (exp (- im)))) (cbrt (* (cos re) 0.5))) * * * * [misc]progress: [ 51 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (132 enodes) * * [misc]simplify: iters left: 1 (151 enodes) * [exit]simplify: Simplified to (sqrt (* (fma (exp im) (cos re) (/ (cos re) (exp im))) 0.5)) * [exit]simplify: Simplified to (sqrt (* (fma (exp im) (cos re) (/ (cos re) (exp im))) 0.5)) * * * * [misc]progress: [ 52 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* 0.5 (cos re))) (sqrt (+ (exp (- im)) (exp im)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (exp im) (exp (- im)))) (sqrt (* (cos re) 0.5))) * [exit]simplify: Simplified to (* (sqrt (+ (exp im) (exp (- im)))) (sqrt (* (cos re) 0.5))) * * * * [misc]progress: [ 53 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* 0.5 (cos re)) (exp (- im))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (/ 0.5 (/ (exp im) (cos re))) * [exit]simplify: Simplified to (/ 0.5 (/ (exp im) (cos re))) * [enter]simplify: Simplifying (* (* 0.5 (cos re)) (exp im)) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (19 enodes) * [exit]simplify: Simplified to (* (* (cos re) 0.5) (exp im)) * [exit]simplify: Simplified to (* (* (cos re) 0.5) (exp im)) * * * * [misc]progress: [ 55 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (* (exp (- im)) (* 0.5 (cos re))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * [exit]simplify: Simplified to (* (cos re) (/ 0.5 (exp im))) * [exit]simplify: Simplified to (* (cos re) (/ 0.5 (exp im))) * [enter]simplify: Simplifying (* (exp im) (* 0.5 (cos re))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (19 enodes) * [exit]simplify: Simplified to (* 0.5 (* (exp im) (cos re))) * [exit]simplify: Simplified to (* 0.5 (* (exp im) (cos re))) * * * * [misc]progress: [ 56 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* 0.5 (cos re)) 1) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (* 0.5 (cos re)) * [exit]simplify: Simplified to (* 0.5 (cos re)) * * * * [misc]progress: [ 57 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* 0.5 (cos re)) 1) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (* 0.5 (cos re)) * [exit]simplify: Simplified to (* 0.5 (cos re)) * * * * [misc]progress: [ 58 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos re) (+ (exp (- im)) (exp im))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (fma (cos re) (exp im) (/ (cos re) (exp im))) * [exit]simplify: Simplified to (fma (cos re) (exp im) (/ (cos re) (exp im))) * * * * [misc]progress: [ 59 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* 0.5 (cos re)) (- (pow (exp (- im)) 3) (pow (exp im) 3))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (87 enodes) * [exit]simplify: Simplified to (* (* (cos re) 0.5) (- (cube (exp (- im))) (cube (exp im)))) * [exit]simplify: Simplified to (* (* (cos re) 0.5) (- (cube (exp (- im))) (cube (exp im)))) * * * * [misc]progress: [ 60 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* 0.5 (cos re)) (- (sqr (exp (- im))) (sqr (exp im)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (191 enodes) * * [misc]simplify: iters left: 1 (377 enodes) * [exit]simplify: Simplified to (* (* 0.5 (cos re)) (* (+ (exp (- im)) (exp im)) (- (exp (- im)) (exp im)))) * [exit]simplify: Simplified to (* (* 0.5 (cos re)) (* (+ (exp (- im)) (exp im)) (- (exp (- im)) (exp im)))) * * * * [misc]progress: [ 61 / 61 ] simplifiying candidate # * * * [misc]progress: adding candidates to table * * [misc]progress: Final touches. * * * [misc]progress: tayloring alt 1 of 3 * [misc]approximate: Taking taylor expansion of (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) in im * [misc]taylor: Taking taylor expansion of (* 0.5 (cos re)) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (cos re) in im * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]backup-simplify: Simplify (cos re) into (cos re) * [misc]backup-simplify: Simplify (sin re) into (sin re) * [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 (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) in re * [misc]taylor: Taking taylor expansion of (* 0.5 (cos re)) in re * [misc]taylor: Taking taylor expansion of 0.5 in re * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (cos re) in re * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (exp (- im)) (exp im)) in re * [misc]taylor: Taking taylor expansion of (exp (- im)) in re * [misc]taylor: Taking taylor expansion of (- im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (exp (- im)) into (exp (- im)) * [misc]taylor: Taking taylor expansion of (exp im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (exp im) into (exp im) * [misc]taylor: Taking taylor expansion of (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) in re * [misc]taylor: Taking taylor expansion of (* 0.5 (cos re)) in re * [misc]taylor: Taking taylor expansion of 0.5 in re * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (cos re) in re * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (exp (- im)) (exp im)) in re * [misc]taylor: Taking taylor expansion of (exp (- im)) in re * [misc]taylor: Taking taylor expansion of (- im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (exp (- im)) into (exp (- im)) * [misc]taylor: Taking taylor expansion of (exp im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (exp im) into (exp im) * [misc]backup-simplify: Simplify (* 0.5 1) into 0.5 * [misc]backup-simplify: Simplify (+ (exp (- im)) (exp im)) into (+ (exp im) (exp (- im))) * [misc]backup-simplify: Simplify (* 0.5 (+ (exp im) (exp (- im)))) into (* 0.5 (+ (exp im) (exp (- im)))) * [misc]taylor: Taking taylor expansion of (* 0.5 (+ (exp im) (exp (- im)))) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [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]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]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]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (* 0.5 2) into 1.0 * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- im)) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp im) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (* 0 (+ (exp im) (exp (- im))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (- 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 (+ (* 0.5 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp im) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (+ (* 0.5 (- 1/2)) (+ (* 0 0) (* 0 1))) into (- 0.25) * [misc]backup-simplify: Simplify (+ (* 0.5 0) (+ (* 0 0) (* (- 0.25) (+ (exp im) (exp (- im)))))) into (- (+ (* 0.25 (exp im)) (* 0.25 (exp (- im))))) * [misc]taylor: Taking taylor expansion of (- (+ (* 0.25 (exp im)) (* 0.25 (exp (- im))))) in im * [misc]taylor: Taking taylor expansion of (+ (* 0.25 (exp im)) (* 0.25 (exp (- im)))) in im * [misc]taylor: Taking taylor expansion of (* 0.25 (exp im)) in im * [misc]taylor: Taking taylor expansion of 0.25 in im * [misc]backup-simplify: Simplify 0.25 into 0.25 * [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 (* 0.25 (exp (- im))) in im * [misc]taylor: Taking taylor expansion of 0.25 in im * [misc]backup-simplify: Simplify 0.25 into 0.25 * [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]backup-simplify: Simplify (* 0.25 1) into 0.25 * [misc]backup-simplify: Simplify (* 0.25 1) into 0.25 * [misc]backup-simplify: Simplify (+ 0.25 0.25) into 0.5 * [misc]backup-simplify: Simplify (- 0.5) into (- 0.5) * [misc]backup-simplify: Simplify (- 0.5) into (- 0.5) * [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 (- 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 (+ 1/2 1/2) into 1 * [misc]backup-simplify: Simplify (+ (* 0.5 1) (+ (* 0 0) (* 0 2))) into 0.5 * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]backup-simplify: Simplify (+ (* 0.5 (sqr (* im 1))) (+ (* (- 0.5) (sqr (* 1 re))) 1.0)) into (- (+ (* 0.5 (sqr im)) 1.0) (* 0.5 (sqr re))) * [misc]approximate: Taking taylor expansion of (* (* 0.5 (cos (/ 1 re))) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (* (* 0.5 (cos (/ 1 re))) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in im * [misc]taylor: Taking taylor expansion of (* 0.5 (cos (/ 1 re))) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (cos (/ 1 re)) in im * [misc]taylor: Taking taylor expansion of (/ 1 re) in im * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]backup-simplify: Simplify (/ 1 re) into (/ 1 re) * [misc]backup-simplify: Simplify (cos (/ 1 re)) into (cos (/ 1 re)) * [misc]backup-simplify: Simplify (sin (/ 1 re)) into (sin (/ 1 re)) * [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 (* (* 0.5 (cos (/ 1 re))) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in re * [misc]taylor: Taking taylor expansion of (* 0.5 (cos (/ 1 re))) in re * [misc]taylor: Taking taylor expansion of 0.5 in re * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (cos (/ 1 re)) in re * [misc]taylor: Taking taylor expansion of (/ 1 re) in re * [misc]taylor: Taking taylor expansion of re in re * [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 (cos (/ 1 re)) into (cos (/ 1 re)) * [misc]taylor: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in re * [misc]taylor: Taking taylor expansion of (exp (- (/ 1 im))) in re * [misc]taylor: Taking taylor expansion of (- (/ 1 im)) in re * [misc]taylor: Taking taylor expansion of (/ 1 im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (/ 1 im) into (/ 1 im) * [misc]backup-simplify: Simplify (- (/ 1 im)) into (- (/ 1 im)) * [misc]backup-simplify: Simplify (- (/ 1 im)) into (- (/ 1 im)) * [misc]backup-simplify: Simplify (exp (- (/ 1 im))) into (exp (- (/ 1 im))) * [misc]taylor: Taking taylor expansion of (exp (/ 1 im)) in re * [misc]taylor: Taking taylor expansion of (/ 1 im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (/ 1 im) into (/ 1 im) * [misc]backup-simplify: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) * [misc]taylor: Taking taylor expansion of (* (* 0.5 (cos (/ 1 re))) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in re * [misc]taylor: Taking taylor expansion of (* 0.5 (cos (/ 1 re))) in re * [misc]taylor: Taking taylor expansion of 0.5 in re * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (cos (/ 1 re)) in re * [misc]taylor: Taking taylor expansion of (/ 1 re) in re * [misc]taylor: Taking taylor expansion of re in re * [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 (cos (/ 1 re)) into (cos (/ 1 re)) * [misc]taylor: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in re * [misc]taylor: Taking taylor expansion of (exp (- (/ 1 im))) in re * [misc]taylor: Taking taylor expansion of (- (/ 1 im)) in re * [misc]taylor: Taking taylor expansion of (/ 1 im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (/ 1 im) into (/ 1 im) * [misc]backup-simplify: Simplify (- (/ 1 im)) into (- (/ 1 im)) * [misc]backup-simplify: Simplify (- (/ 1 im)) into (- (/ 1 im)) * [misc]backup-simplify: Simplify (exp (- (/ 1 im))) into (exp (- (/ 1 im))) * [misc]taylor: Taking taylor expansion of (exp (/ 1 im)) in re * [misc]taylor: Taking taylor expansion of (/ 1 im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (/ 1 im) into (/ 1 im) * [misc]backup-simplify: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) * [misc]backup-simplify: Simplify (* 0.5 (cos (/ 1 re))) into (* 0.5 (cos (/ 1 re))) * [misc]backup-simplify: Simplify (+ (exp (- (/ 1 im))) (exp (/ 1 im))) into (+ (exp (/ 1 im)) (exp (- (/ 1 im)))) * [misc]backup-simplify: Simplify (* (* 0.5 (cos (/ 1 re))) (+ (exp (/ 1 im)) (exp (- (/ 1 im))))) into (* 0.5 (* (cos (/ 1 re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im)))))) * [misc]taylor: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im)))))) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im))))) in im * [misc]taylor: Taking taylor expansion of (cos (/ 1 re)) in im * [misc]taylor: Taking taylor expansion of (/ 1 re) in im * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]backup-simplify: Simplify (/ 1 re) into (/ 1 re) * [misc]backup-simplify: Simplify (cos (/ 1 re)) into (cos (/ 1 re)) * [misc]backup-simplify: Simplify (sin (/ 1 re)) into (sin (/ 1 re)) * [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 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))) 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]backup-simplify: Simplify (* (cos (/ 1 re)) 1) into (cos (/ 1 re)) * [misc]backup-simplify: Simplify (* (sin (/ 1 re)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1 re)) 0) into (cos (/ 1 re)) * [misc]backup-simplify: Simplify (+ (exp (/ 1 im)) (exp (- (/ 1 im)))) into (+ (exp (/ 1 im)) (exp (- (/ 1 im)))) * [misc]backup-simplify: Simplify (* (cos (/ 1 re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im))))) into (* (cos (/ 1 re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im))))) * [misc]backup-simplify: Simplify (* 0.5 (* (cos (/ 1 re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im)))))) into (* 0.5 (* (cos (/ 1 re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im)))))) * [misc]backup-simplify: Simplify (* 0.5 (* (cos (/ 1 re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im)))))) into (* 0.5 (* (cos (/ 1 re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im)))))) * [misc]backup-simplify: Simplify (- (/ 1 im)) into (- (/ 1 im)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (/ 1 im))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (* 0 (cos (/ 1 re)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 0.5 (cos (/ 1 re))) 0) (* 0 (+ (exp (/ 1 im)) (exp (- (/ 1 im)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 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 (+ (* (cos (/ 1 re)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 re)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 re)) 0) (* 0 (+ (exp (/ 1 im)) (exp (- (/ 1 im)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (* 0 (* (cos (/ 1 re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 1 im)) into (- (/ 1 im)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (/ 1 im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (cos (/ 1 re))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 0.5 (cos (/ 1 re))) 0) (+ (* 0 0) (* 0 (+ (exp (/ 1 im)) (exp (- (/ 1 im))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [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 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 re)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 re)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 re)) 0) (+ (* 0 0) (* 0 (+ (exp (/ 1 im)) (exp (- (/ 1 im))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* (cos (/ 1 re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 1 im)) into (- (/ 1 im)) * [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 (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)) (* 0 (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (/ 1 im))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)) (* 0 (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 re)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 0.5 (cos (/ 1 re))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (exp (/ 1 im)) (exp (- (/ 1 im)))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 0.5 (* (cos (/ 1 re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im)))))) into (* 0.5 (* (cos (/ 1 re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im)))))) * [misc]approximate: Taking taylor expansion of (* (* 0.5 (cos (/ 1 (- re)))) (+ (exp (- (/ 1 (- im)))) (exp (/ 1 (- im))))) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (* (* 0.5 (cos (/ 1 (- re)))) (+ (exp (- (/ 1 (- im)))) (exp (/ 1 (- im))))) in im * [misc]taylor: Taking taylor expansion of (* 0.5 (cos (/ 1 (- re)))) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- re))) in im * [misc]taylor: Taking taylor expansion of (/ 1 (- re)) in im * [misc]taylor: Taking taylor expansion of (- re) in im * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]backup-simplify: Simplify (- re) into (- re) * [misc]backup-simplify: Simplify (- re) into (- re) * [misc]backup-simplify: Simplify (/ 1 (- re)) into (/ -1 re) * [misc]backup-simplify: Simplify (cos (/ -1 re)) into (cos (/ -1 re)) * [misc]backup-simplify: Simplify (sin (/ -1 re)) into (sin (/ -1 re)) * [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 (* (* 0.5 (cos (/ 1 (- re)))) (+ (exp (- (/ 1 (- im)))) (exp (/ 1 (- im))))) in re * [misc]taylor: Taking taylor expansion of (* 0.5 (cos (/ 1 (- re)))) in re * [misc]taylor: Taking taylor expansion of 0.5 in re * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- re))) in re * [misc]taylor: Taking taylor expansion of (/ 1 (- re)) in re * [misc]taylor: Taking taylor expansion of (- re) in re * [misc]taylor: Taking taylor expansion of re in re * [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 (cos (/ 1 (- re))) into (cos (/ -1 re)) * [misc]taylor: Taking taylor expansion of (+ (exp (- (/ 1 (- im)))) (exp (/ 1 (- im)))) in re * [misc]taylor: Taking taylor expansion of (exp (- (/ 1 (- im)))) in re * [misc]taylor: Taking taylor expansion of (- (/ 1 (- im))) in re * [misc]taylor: Taking taylor expansion of (/ 1 (- im)) in re * [misc]taylor: Taking taylor expansion of (- im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (/ 1 (- im)) into (/ -1 im) * [misc]backup-simplify: Simplify (- (/ -1 im)) into (/ 1 im) * [misc]backup-simplify: Simplify (- (/ -1 im)) into (/ 1 im) * [misc]backup-simplify: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- im))) in re * [misc]taylor: Taking taylor expansion of (/ 1 (- im)) in re * [misc]taylor: Taking taylor expansion of (- im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (/ 1 (- im)) into (/ -1 im) * [misc]backup-simplify: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) * [misc]taylor: Taking taylor expansion of (* (* 0.5 (cos (/ 1 (- re)))) (+ (exp (- (/ 1 (- im)))) (exp (/ 1 (- im))))) in re * [misc]taylor: Taking taylor expansion of (* 0.5 (cos (/ 1 (- re)))) in re * [misc]taylor: Taking taylor expansion of 0.5 in re * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- re))) in re * [misc]taylor: Taking taylor expansion of (/ 1 (- re)) in re * [misc]taylor: Taking taylor expansion of (- re) in re * [misc]taylor: Taking taylor expansion of re in re * [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 (cos (/ 1 (- re))) into (cos (/ -1 re)) * [misc]taylor: Taking taylor expansion of (+ (exp (- (/ 1 (- im)))) (exp (/ 1 (- im)))) in re * [misc]taylor: Taking taylor expansion of (exp (- (/ 1 (- im)))) in re * [misc]taylor: Taking taylor expansion of (- (/ 1 (- im))) in re * [misc]taylor: Taking taylor expansion of (/ 1 (- im)) in re * [misc]taylor: Taking taylor expansion of (- im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (/ 1 (- im)) into (/ -1 im) * [misc]backup-simplify: Simplify (- (/ -1 im)) into (/ 1 im) * [misc]backup-simplify: Simplify (- (/ -1 im)) into (/ 1 im) * [misc]backup-simplify: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- im))) in re * [misc]taylor: Taking taylor expansion of (/ 1 (- im)) in re * [misc]taylor: Taking taylor expansion of (- im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (/ 1 (- im)) into (/ -1 im) * [misc]backup-simplify: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) * [misc]backup-simplify: Simplify (* 0.5 (cos (/ -1 re))) into (* 0.5 (cos (/ -1 re))) * [misc]backup-simplify: Simplify (+ (exp (/ 1 im)) (exp (/ -1 im))) into (+ (exp (/ 1 im)) (exp (/ -1 im))) * [misc]backup-simplify: Simplify (* (* 0.5 (cos (/ -1 re))) (+ (exp (/ 1 im)) (exp (/ -1 im)))) into (* 0.5 (* (cos (/ -1 re)) (+ (exp (/ 1 im)) (exp (/ -1 im))))) * [misc]taylor: Taking taylor expansion of (* 0.5 (* (cos (/ -1 re)) (+ (exp (/ 1 im)) (exp (/ -1 im))))) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (* (cos (/ -1 re)) (+ (exp (/ 1 im)) (exp (/ -1 im)))) in im * [misc]taylor: Taking taylor expansion of (cos (/ -1 re)) in im * [misc]taylor: Taking taylor expansion of (/ -1 re) in im * [misc]taylor: Taking taylor expansion of -1 in im * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]backup-simplify: Simplify (/ -1 re) into (/ -1 re) * [misc]backup-simplify: Simplify (cos (/ -1 re)) into (cos (/ -1 re)) * [misc]backup-simplify: Simplify (sin (/ -1 re)) into (sin (/ -1 re)) * [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 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)) in im * [misc]taylor: Taking taylor expansion of (/ -1 im) in im * [misc]taylor: Taking taylor expansion of -1 in im * [misc]backup-simplify: Simplify -1 into -1 * [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 (* (cos (/ -1 re)) 1) into (cos (/ -1 re)) * [misc]backup-simplify: Simplify (* (sin (/ -1 re)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1 re)) 0) into (cos (/ -1 re)) * [misc]backup-simplify: Simplify (+ (exp (/ 1 im)) (exp (/ -1 im))) into (+ (exp (/ 1 im)) (exp (/ -1 im))) * [misc]backup-simplify: Simplify (* (cos (/ -1 re)) (+ (exp (/ 1 im)) (exp (/ -1 im)))) into (* (cos (/ -1 re)) (+ (exp (/ 1 im)) (exp (/ -1 im)))) * [misc]backup-simplify: Simplify (* 0.5 (* (cos (/ -1 re)) (+ (exp (/ 1 im)) (exp (/ -1 im))))) into (* 0.5 (* (cos (/ -1 re)) (+ (exp (/ 1 im)) (exp (/ -1 im))))) * [misc]backup-simplify: Simplify (* 0.5 (* (cos (/ -1 re)) (+ (exp (/ 1 im)) (exp (/ -1 im))))) into (* 0.5 (* (cos (/ -1 re)) (+ (exp (/ 1 im)) (exp (/ -1 im))))) * [misc]backup-simplify: Simplify (- (/ -1 im)) into (/ 1 im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (* 0 (cos (/ -1 re)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 0.5 (cos (/ -1 re))) 0) (* 0 (+ (exp (/ 1 im)) (exp (/ -1 im))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 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 (+ (* (cos (/ -1 re)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 re) (+ (* (/ -1 re) (/ 0 re)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 re)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 re)) 0) (* 0 (+ (exp (/ 1 im)) (exp (/ -1 im))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (* 0 (* (cos (/ -1 re)) (+ (exp (/ 1 im)) (exp (/ -1 im)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ -1 im)) into (/ 1 im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 im) (/ 0 (- im))) (* 0 (/ 0 (- im))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 im) (/ 0 (- im))) (* 0 (/ 0 (- im))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (cos (/ -1 re))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 0.5 (cos (/ -1 re))) 0) (+ (* 0 0) (* 0 (+ (exp (/ 1 im)) (exp (/ -1 im)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [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 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 re)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 re) (+ (* (/ -1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 re)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 re)) 0) (+ (* 0 0) (* 0 (+ (exp (/ 1 im)) (exp (/ -1 im)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* (cos (/ -1 re)) (+ (exp (/ 1 im)) (exp (/ -1 im))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ -1 im)) into (/ 1 im) * [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 (- im) into (- im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 im) (/ 0 (- im))) (* 0 (/ 0 (- im))) (* 0 (/ 0 (- im))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 im) (/ 0 (- im))) (* 0 (/ 0 (- im))) (* 0 (/ 0 (- im))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 re)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 0.5 (cos (/ -1 re))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (exp (/ 1 im)) (exp (/ -1 im))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 0.5 (* (cos (/ -1 re)) (+ (exp (/ 1 im)) (exp (/ -1 im))))) into (* 0.5 (* (cos (/ -1 re)) (+ (exp (/ 1 im)) (exp (/ -1 im))))) * * * [misc]progress: tayloring alt 2 of 3 * [misc]approximate: Taking taylor expansion of (sqr (sqrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))) in im * [misc]taylor: Taking taylor expansion of (sqrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) in im * [misc]taylor: Taking taylor expansion of (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) in im * [misc]taylor: Taking taylor expansion of (* 0.5 (cos re)) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (cos re) in im * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]backup-simplify: Simplify (cos re) into (cos re) * [misc]backup-simplify: Simplify (sin re) into (sin re) * [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 (* (cos re) 1) into (cos re) * [misc]backup-simplify: Simplify (* (sin re) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos re) 0) into (cos re) * [misc]backup-simplify: Simplify (* 0.5 (cos re)) into (* 0.5 (cos re)) * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (* (* 0.5 (cos re)) 2) into (* 1.0 (cos re)) * [misc]backup-simplify: Simplify (sqrt (* 1.0 (cos re))) into (* (sqrt (cos re)) (sqrt 1.0)) * [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 (+ (* (cos re) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin re) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (* 0 (cos re))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 0.5 (cos re)) 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* 1.0 (cos re))))) into 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))) in re * [misc]taylor: Taking taylor expansion of (sqrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) in re * [misc]taylor: Taking taylor expansion of (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) in re * [misc]taylor: Taking taylor expansion of (* 0.5 (cos re)) in re * [misc]taylor: Taking taylor expansion of 0.5 in re * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (cos re) in re * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (exp (- im)) (exp im)) in re * [misc]taylor: Taking taylor expansion of (exp (- im)) in re * [misc]taylor: Taking taylor expansion of (- im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (exp (- im)) into (exp (- im)) * [misc]taylor: Taking taylor expansion of (exp im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (exp im) into (exp im) * [misc]backup-simplify: Simplify (* 0.5 1) into 0.5 * [misc]backup-simplify: Simplify (+ (exp (- im)) (exp im)) into (+ (exp im) (exp (- im))) * [misc]backup-simplify: Simplify (* 0.5 (+ (exp im) (exp (- im)))) into (* 0.5 (+ (exp im) (exp (- im)))) * [misc]backup-simplify: Simplify (sqrt (* 0.5 (+ (exp im) (exp (- im))))) into (* (sqrt (+ (exp im) (exp (- im)))) (sqrt 0.5)) * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- im)) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp im) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (* 0 (+ (exp im) (exp (- im))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* 0.5 (+ (exp im) (exp (- im))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))) in re * [misc]taylor: Taking taylor expansion of (sqrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) in re * [misc]taylor: Taking taylor expansion of (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) in re * [misc]taylor: Taking taylor expansion of (* 0.5 (cos re)) in re * [misc]taylor: Taking taylor expansion of 0.5 in re * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (cos re) in re * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (exp (- im)) (exp im)) in re * [misc]taylor: Taking taylor expansion of (exp (- im)) in re * [misc]taylor: Taking taylor expansion of (- im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (exp (- im)) into (exp (- im)) * [misc]taylor: Taking taylor expansion of (exp im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (exp im) into (exp im) * [misc]backup-simplify: Simplify (* 0.5 1) into 0.5 * [misc]backup-simplify: Simplify (+ (exp (- im)) (exp im)) into (+ (exp im) (exp (- im))) * [misc]backup-simplify: Simplify (* 0.5 (+ (exp im) (exp (- im)))) into (* 0.5 (+ (exp im) (exp (- im)))) * [misc]backup-simplify: Simplify (sqrt (* 0.5 (+ (exp im) (exp (- im))))) into (* (sqrt (+ (exp im) (exp (- im)))) (sqrt 0.5)) * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- im)) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp im) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (* 0 (+ (exp im) (exp (- im))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* 0.5 (+ (exp im) (exp (- im))))))) into 0 * [misc]backup-simplify: Simplify (* (* (sqrt (+ (exp im) (exp (- im)))) (sqrt 0.5)) (* (sqrt (+ (exp im) (exp (- im)))) (sqrt 0.5))) into (* (+ (exp im) (exp (- im))) (sqr (sqrt 0.5))) * [misc]taylor: Taking taylor expansion of (* (+ (exp im) (exp (- im))) (sqr (sqrt 0.5))) in im * [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]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]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 (sqr (sqrt 0.5)) in im * [misc]taylor: Taking taylor expansion of (sqrt 0.5) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]backup-simplify: Simplify (sqrt 0.5) into (sqrt 0.5) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 0.5))) into 0 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (* (sqrt 0.5) (sqrt 0.5)) into (sqr (sqrt 0.5)) * [misc]backup-simplify: Simplify (* 2 (sqr (sqrt 0.5))) into (* 2 (sqr (sqrt 0.5))) * [misc]backup-simplify: Simplify (* 2 (sqr (sqrt 0.5))) into (* 2 (sqr (sqrt 0.5))) * [misc]backup-simplify: Simplify (+ (* (* (sqrt (+ (exp im) (exp (- im)))) (sqrt 0.5)) 0) (* 0 (* (sqrt (+ (exp im) (exp (- im)))) (sqrt 0.5)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt 0.5) 0) (* 0 (sqrt 0.5))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (- 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 (+ (* 2 0) (* 0 (sqr (sqrt 0.5)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp im) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (+ (* 0.5 (- 1/2)) (+ (* 0 0) (* 0 1))) into (- 0.25) * [misc]backup-simplify: Simplify (+ (* 0.5 0) (+ (* 0 0) (* (- 0.25) (+ (exp im) (exp (- im)))))) into (- (+ (* 0.25 (exp im)) (* 0.25 (exp (- im))))) * [misc]backup-simplify: Simplify (/ (- (- (+ (* 0.25 (exp im)) (* 0.25 (exp (- im))))) (sqr 0) (+)) (* 2 (* (sqrt (+ (exp im) (exp (- im)))) (sqrt 0.5)))) into (* -1/2 (* (sqrt (/ 1 (+ (exp im) (exp (- im))))) (/ (+ (* 0.25 (exp im)) (* 0.25 (exp (- im)))) (sqrt 0.5)))) * [misc]backup-simplify: Simplify (+ (* (* (sqrt (+ (exp im) (exp (- im)))) (sqrt 0.5)) (* -1/2 (* (sqrt (/ 1 (+ (exp im) (exp (- im))))) (/ (+ (* 0.25 (exp im)) (* 0.25 (exp (- im)))) (sqrt 0.5))))) (+ (* 0 0) (* (* -1/2 (* (sqrt (/ 1 (+ (exp im) (exp (- im))))) (/ (+ (* 0.25 (exp im)) (* 0.25 (exp (- im)))) (sqrt 0.5)))) (* (sqrt (+ (exp im) (exp (- im)))) (sqrt 0.5))))) into (- (+ (* 0.25 (exp im)) (* 0.25 (exp (- im))))) * [misc]taylor: Taking taylor expansion of (- (+ (* 0.25 (exp im)) (* 0.25 (exp (- im))))) in im * [misc]taylor: Taking taylor expansion of (+ (* 0.25 (exp im)) (* 0.25 (exp (- im)))) in im * [misc]taylor: Taking taylor expansion of (* 0.25 (exp im)) in im * [misc]taylor: Taking taylor expansion of 0.25 in im * [misc]backup-simplify: Simplify 0.25 into 0.25 * [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 (* 0.25 (exp (- im))) in im * [misc]taylor: Taking taylor expansion of 0.25 in im * [misc]backup-simplify: Simplify 0.25 into 0.25 * [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]backup-simplify: Simplify (* 0.25 1) into 0.25 * [misc]backup-simplify: Simplify (* 0.25 1) into 0.25 * [misc]backup-simplify: Simplify (+ 0.25 0.25) into 0.5 * [misc]backup-simplify: Simplify (- 0.5) into (- 0.5) * [misc]backup-simplify: Simplify (- 0.5) into (- 0.5) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt 0.5))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt 0.5) 0) (+ (* 0 0) (* 0 (sqrt 0.5)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [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 (+ 1/2 1/2) into 1 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 1 (sqr (sqrt 0.5))))) into (sqr (sqrt 0.5)) * [misc]backup-simplify: Simplify (sqr (sqrt 0.5)) into (sqr (sqrt 0.5)) * [misc]backup-simplify: Simplify (+ (* (sqr (sqrt 0.5)) (sqr (* im 1))) (+ (* (- 0.5) (sqr (* 1 re))) (* 2 (sqr (sqrt 0.5))))) into (- (+ (* (sqr im) (sqr (sqrt 0.5))) (* 2 (sqr (sqrt 0.5)))) (* 0.5 (sqr re))) * [misc]approximate: Taking taylor expansion of (sqr (sqrt (* (* 0.5 (cos (/ 1 re))) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (* (* 0.5 (cos (/ 1 re))) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) in im * [misc]taylor: Taking taylor expansion of (sqrt (* (* 0.5 (cos (/ 1 re))) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in im * [misc]taylor: Taking taylor expansion of (* (* 0.5 (cos (/ 1 re))) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in im * [misc]taylor: Taking taylor expansion of (* 0.5 (cos (/ 1 re))) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (cos (/ 1 re)) in im * [misc]taylor: Taking taylor expansion of (/ 1 re) in im * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]backup-simplify: Simplify (/ 1 re) into (/ 1 re) * [misc]backup-simplify: Simplify (cos (/ 1 re)) into (cos (/ 1 re)) * [misc]backup-simplify: Simplify (sin (/ 1 re)) into (sin (/ 1 re)) * [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 (* (cos (/ 1 re)) 1) into (cos (/ 1 re)) * [misc]backup-simplify: Simplify (* (sin (/ 1 re)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1 re)) 0) into (cos (/ 1 re)) * [misc]backup-simplify: Simplify (* 0.5 (cos (/ 1 re))) into (* 0.5 (cos (/ 1 re))) * [misc]backup-simplify: Simplify (+ (exp (- (/ 1 im))) (exp (/ 1 im))) into (+ (exp (/ 1 im)) (exp (- (/ 1 im)))) * [misc]backup-simplify: Simplify (* (* 0.5 (cos (/ 1 re))) (+ (exp (/ 1 im)) (exp (- (/ 1 im))))) into (* 0.5 (* (cos (/ 1 re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im)))))) * [misc]backup-simplify: Simplify (sqrt (* 0.5 (* (cos (/ 1 re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im))))))) into (* (sqrt (* (cos (/ 1 re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im)))))) (sqrt 0.5)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 re)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 re)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (* 0 (cos (/ 1 re)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 0.5 (cos (/ 1 re))) 0) (* 0 (+ (exp (/ 1 im)) (exp (- (/ 1 im)))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* 0.5 (* (cos (/ 1 re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im))))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (* (* 0.5 (cos (/ 1 re))) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) in re * [misc]taylor: Taking taylor expansion of (sqrt (* (* 0.5 (cos (/ 1 re))) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in re * [misc]taylor: Taking taylor expansion of (* (* 0.5 (cos (/ 1 re))) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in re * [misc]taylor: Taking taylor expansion of (* 0.5 (cos (/ 1 re))) in re * [misc]taylor: Taking taylor expansion of 0.5 in re * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (cos (/ 1 re)) in re * [misc]taylor: Taking taylor expansion of (/ 1 re) in re * [misc]taylor: Taking taylor expansion of re in re * [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 (cos (/ 1 re)) into (cos (/ 1 re)) * [misc]taylor: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in re * [misc]taylor: Taking taylor expansion of (exp (- (/ 1 im))) in re * [misc]taylor: Taking taylor expansion of (- (/ 1 im)) in re * [misc]taylor: Taking taylor expansion of (/ 1 im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (/ 1 im) into (/ 1 im) * [misc]backup-simplify: Simplify (- (/ 1 im)) into (- (/ 1 im)) * [misc]backup-simplify: Simplify (- (/ 1 im)) into (- (/ 1 im)) * [misc]backup-simplify: Simplify (exp (- (/ 1 im))) into (exp (- (/ 1 im))) * [misc]taylor: Taking taylor expansion of (exp (/ 1 im)) in re * [misc]taylor: Taking taylor expansion of (/ 1 im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (/ 1 im) into (/ 1 im) * [misc]backup-simplify: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) * [misc]backup-simplify: Simplify (* 0.5 (cos (/ 1 re))) into (* 0.5 (cos (/ 1 re))) * [misc]backup-simplify: Simplify (+ (exp (- (/ 1 im))) (exp (/ 1 im))) into (+ (exp (/ 1 im)) (exp (- (/ 1 im)))) * [misc]backup-simplify: Simplify (* (* 0.5 (cos (/ 1 re))) (+ (exp (/ 1 im)) (exp (- (/ 1 im))))) into (* 0.5 (* (cos (/ 1 re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im)))))) * [misc]backup-simplify: Simplify (sqrt (* 0.5 (* (cos (/ 1 re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im))))))) into (* (sqrt (* (cos (/ 1 re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im)))))) (sqrt 0.5)) * [misc]backup-simplify: Simplify (- (/ 1 im)) into (- (/ 1 im)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (/ 1 im))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (* 0 (cos (/ 1 re)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 0.5 (cos (/ 1 re))) 0) (* 0 (+ (exp (/ 1 im)) (exp (- (/ 1 im)))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* 0.5 (* (cos (/ 1 re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im))))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (* (* 0.5 (cos (/ 1 re))) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) in re * [misc]taylor: Taking taylor expansion of (sqrt (* (* 0.5 (cos (/ 1 re))) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in re * [misc]taylor: Taking taylor expansion of (* (* 0.5 (cos (/ 1 re))) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in re * [misc]taylor: Taking taylor expansion of (* 0.5 (cos (/ 1 re))) in re * [misc]taylor: Taking taylor expansion of 0.5 in re * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (cos (/ 1 re)) in re * [misc]taylor: Taking taylor expansion of (/ 1 re) in re * [misc]taylor: Taking taylor expansion of re in re * [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 (cos (/ 1 re)) into (cos (/ 1 re)) * [misc]taylor: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in re * [misc]taylor: Taking taylor expansion of (exp (- (/ 1 im))) in re * [misc]taylor: Taking taylor expansion of (- (/ 1 im)) in re * [misc]taylor: Taking taylor expansion of (/ 1 im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (/ 1 im) into (/ 1 im) * [misc]backup-simplify: Simplify (- (/ 1 im)) into (- (/ 1 im)) * [misc]backup-simplify: Simplify (- (/ 1 im)) into (- (/ 1 im)) * [misc]backup-simplify: Simplify (exp (- (/ 1 im))) into (exp (- (/ 1 im))) * [misc]taylor: Taking taylor expansion of (exp (/ 1 im)) in re * [misc]taylor: Taking taylor expansion of (/ 1 im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (/ 1 im) into (/ 1 im) * [misc]backup-simplify: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) * [misc]backup-simplify: Simplify (* 0.5 (cos (/ 1 re))) into (* 0.5 (cos (/ 1 re))) * [misc]backup-simplify: Simplify (+ (exp (- (/ 1 im))) (exp (/ 1 im))) into (+ (exp (/ 1 im)) (exp (- (/ 1 im)))) * [misc]backup-simplify: Simplify (* (* 0.5 (cos (/ 1 re))) (+ (exp (/ 1 im)) (exp (- (/ 1 im))))) into (* 0.5 (* (cos (/ 1 re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im)))))) * [misc]backup-simplify: Simplify (sqrt (* 0.5 (* (cos (/ 1 re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im))))))) into (* (sqrt (* (cos (/ 1 re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im)))))) (sqrt 0.5)) * [misc]backup-simplify: Simplify (- (/ 1 im)) into (- (/ 1 im)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (/ 1 im))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (* 0 (cos (/ 1 re)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 0.5 (cos (/ 1 re))) 0) (* 0 (+ (exp (/ 1 im)) (exp (- (/ 1 im)))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* 0.5 (* (cos (/ 1 re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im))))))))) into 0 * [misc]backup-simplify: Simplify (* (* (sqrt (* (cos (/ 1 re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im)))))) (sqrt 0.5)) (* (sqrt (* (cos (/ 1 re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im)))))) (sqrt 0.5))) into (* (cos (/ 1 re)) (* (+ (exp (/ 1 im)) (exp (- (/ 1 im)))) (sqr (sqrt 0.5)))) * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 re)) (* (+ (exp (/ 1 im)) (exp (- (/ 1 im)))) (sqr (sqrt 0.5)))) in im * [misc]taylor: Taking taylor expansion of (cos (/ 1 re)) in im * [misc]taylor: Taking taylor expansion of (/ 1 re) in im * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]backup-simplify: Simplify (/ 1 re) into (/ 1 re) * [misc]backup-simplify: Simplify (cos (/ 1 re)) into (cos (/ 1 re)) * [misc]backup-simplify: Simplify (sin (/ 1 re)) into (sin (/ 1 re)) * [misc]taylor: Taking taylor expansion of (* (+ (exp (/ 1 im)) (exp (- (/ 1 im)))) (sqr (sqrt 0.5))) in 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 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))) 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 (sqr (sqrt 0.5)) in im * [misc]taylor: Taking taylor expansion of (sqrt 0.5) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]backup-simplify: Simplify (sqrt 0.5) into (sqrt 0.5) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 0.5))) into 0 * [misc]backup-simplify: Simplify (* (cos (/ 1 re)) 1) into (cos (/ 1 re)) * [misc]backup-simplify: Simplify (* (sin (/ 1 re)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1 re)) 0) into (cos (/ 1 re)) * [misc]backup-simplify: Simplify (+ (exp (/ 1 im)) (exp (- (/ 1 im)))) into (+ (exp (/ 1 im)) (exp (- (/ 1 im)))) * [misc]backup-simplify: Simplify (* (sqrt 0.5) (sqrt 0.5)) into (sqr (sqrt 0.5)) * [misc]backup-simplify: Simplify (* (+ (exp (/ 1 im)) (exp (- (/ 1 im)))) (sqr (sqrt 0.5))) into (* (+ (exp (/ 1 im)) (exp (- (/ 1 im)))) (sqr (sqrt 0.5))) * [misc]backup-simplify: Simplify (* (cos (/ 1 re)) (* (+ (exp (/ 1 im)) (exp (- (/ 1 im)))) (sqr (sqrt 0.5)))) into (* (cos (/ 1 re)) (* (+ (exp (/ 1 im)) (exp (- (/ 1 im)))) (sqr (sqrt 0.5)))) * [misc]backup-simplify: Simplify (* (cos (/ 1 re)) (* (+ (exp (/ 1 im)) (exp (- (/ 1 im)))) (sqr (sqrt 0.5)))) into (* (cos (/ 1 re)) (* (+ (exp (/ 1 im)) (exp (- (/ 1 im)))) (sqr (sqrt 0.5)))) * [misc]backup-simplify: Simplify (+ (* (* (sqrt (* (cos (/ 1 re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im)))))) (sqrt 0.5)) 0) (* 0 (* (sqrt (* (cos (/ 1 re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im)))))) (sqrt 0.5)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt 0.5) 0) (* 0 (sqrt 0.5))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ (exp (/ 1 im)) (exp (- (/ 1 im)))) 0) (* 0 (sqr (sqrt 0.5)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 re)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 re)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 re)) 0) (* 0 (* (+ (exp (/ 1 im)) (exp (- (/ 1 im)))) (sqr (sqrt 0.5))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 1 im)) into (- (/ 1 im)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (/ 1 im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (cos (/ 1 re))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 0.5 (cos (/ 1 re))) 0) (+ (* 0 0) (* 0 (+ (exp (/ 1 im)) (exp (- (/ 1 im))))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (* (sqrt (* (cos (/ 1 re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im)))))) (sqrt 0.5)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (sqrt (* (cos (/ 1 re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im)))))) (sqrt 0.5)) 0) (+ (* 0 0) (* 0 (* (sqrt (* (cos (/ 1 re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im)))))) (sqrt 0.5))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [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 (sqr 0) (+)) (* 2 (sqrt 0.5))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt 0.5) 0) (+ (* 0 0) (* 0 (sqrt 0.5)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ (exp (/ 1 im)) (exp (- (/ 1 im)))) 0) (+ (* 0 0) (* 0 (sqr (sqrt 0.5))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 re)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 re)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 re)) 0) (+ (* 0 0) (* 0 (* (+ (exp (/ 1 im)) (exp (- (/ 1 im)))) (sqr (sqrt 0.5)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 1 im)) into (- (/ 1 im)) * [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 (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)) (* 0 (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (/ 1 im))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)) (* 0 (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 re)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 0.5 (cos (/ 1 re))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (exp (/ 1 im)) (exp (- (/ 1 im)))))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (* (sqrt (* (cos (/ 1 re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im)))))) (sqrt 0.5)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (sqrt (* (cos (/ 1 re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im)))))) (sqrt 0.5)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sqrt (* (cos (/ 1 re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im)))))) (sqrt 0.5)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (cos (/ 1 re)) (* (+ (exp (/ 1 im)) (exp (- (/ 1 im)))) (sqr (sqrt 0.5)))) into (* (cos (/ 1 re)) (* (+ (exp (/ 1 im)) (exp (- (/ 1 im)))) (sqr (sqrt 0.5)))) * [misc]approximate: Taking taylor expansion of (sqr (sqrt (* (* 0.5 (cos (/ 1 (- re)))) (+ (exp (- (/ 1 (- im)))) (exp (/ 1 (- im))))))) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (* (* 0.5 (cos (/ 1 (- re)))) (+ (exp (- (/ 1 (- im)))) (exp (/ 1 (- im))))))) in im * [misc]taylor: Taking taylor expansion of (sqrt (* (* 0.5 (cos (/ 1 (- re)))) (+ (exp (- (/ 1 (- im)))) (exp (/ 1 (- im)))))) in im * [misc]taylor: Taking taylor expansion of (* (* 0.5 (cos (/ 1 (- re)))) (+ (exp (- (/ 1 (- im)))) (exp (/ 1 (- im))))) in im * [misc]taylor: Taking taylor expansion of (* 0.5 (cos (/ 1 (- re)))) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- re))) in im * [misc]taylor: Taking taylor expansion of (/ 1 (- re)) in im * [misc]taylor: Taking taylor expansion of (- re) in im * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]backup-simplify: Simplify (- re) into (- re) * [misc]backup-simplify: Simplify (- re) into (- re) * [misc]backup-simplify: Simplify (/ 1 (- re)) into (/ -1 re) * [misc]backup-simplify: Simplify (cos (/ -1 re)) into (cos (/ -1 re)) * [misc]backup-simplify: Simplify (sin (/ -1 re)) into (sin (/ -1 re)) * [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 (* (cos (/ -1 re)) 1) into (cos (/ -1 re)) * [misc]backup-simplify: Simplify (* (sin (/ -1 re)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1 re)) 0) into (cos (/ -1 re)) * [misc]backup-simplify: Simplify (* 0.5 (cos (/ -1 re))) into (* 0.5 (cos (/ -1 re))) * [misc]backup-simplify: Simplify (+ (exp (/ 1 im)) (exp (/ -1 im))) into (+ (exp (/ 1 im)) (exp (/ -1 im))) * [misc]backup-simplify: Simplify (* (* 0.5 (cos (/ -1 re))) (+ (exp (/ 1 im)) (exp (/ -1 im)))) into (* 0.5 (* (cos (/ -1 re)) (+ (exp (/ 1 im)) (exp (/ -1 im))))) * [misc]backup-simplify: Simplify (sqrt (* 0.5 (* (cos (/ -1 re)) (+ (exp (/ 1 im)) (exp (/ -1 im)))))) into (* (sqrt (* (cos (/ -1 re)) (+ (exp (/ 1 im)) (exp (/ -1 im))))) (sqrt 0.5)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 re)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- re) into (- re) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 re) (/ 0 (- re))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 re)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (* 0 (cos (/ -1 re)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 0.5 (cos (/ -1 re))) 0) (* 0 (+ (exp (/ 1 im)) (exp (/ -1 im))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* 0.5 (* (cos (/ -1 re)) (+ (exp (/ 1 im)) (exp (/ -1 im)))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (* (* 0.5 (cos (/ 1 (- re)))) (+ (exp (- (/ 1 (- im)))) (exp (/ 1 (- im))))))) in re * [misc]taylor: Taking taylor expansion of (sqrt (* (* 0.5 (cos (/ 1 (- re)))) (+ (exp (- (/ 1 (- im)))) (exp (/ 1 (- im)))))) in re * [misc]taylor: Taking taylor expansion of (* (* 0.5 (cos (/ 1 (- re)))) (+ (exp (- (/ 1 (- im)))) (exp (/ 1 (- im))))) in re * [misc]taylor: Taking taylor expansion of (* 0.5 (cos (/ 1 (- re)))) in re * [misc]taylor: Taking taylor expansion of 0.5 in re * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- re))) in re * [misc]taylor: Taking taylor expansion of (/ 1 (- re)) in re * [misc]taylor: Taking taylor expansion of (- re) in re * [misc]taylor: Taking taylor expansion of re in re * [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 (cos (/ 1 (- re))) into (cos (/ -1 re)) * [misc]taylor: Taking taylor expansion of (+ (exp (- (/ 1 (- im)))) (exp (/ 1 (- im)))) in re * [misc]taylor: Taking taylor expansion of (exp (- (/ 1 (- im)))) in re * [misc]taylor: Taking taylor expansion of (- (/ 1 (- im))) in re * [misc]taylor: Taking taylor expansion of (/ 1 (- im)) in re * [misc]taylor: Taking taylor expansion of (- im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (/ 1 (- im)) into (/ -1 im) * [misc]backup-simplify: Simplify (- (/ -1 im)) into (/ 1 im) * [misc]backup-simplify: Simplify (- (/ -1 im)) into (/ 1 im) * [misc]backup-simplify: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- im))) in re * [misc]taylor: Taking taylor expansion of (/ 1 (- im)) in re * [misc]taylor: Taking taylor expansion of (- im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (/ 1 (- im)) into (/ -1 im) * [misc]backup-simplify: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) * [misc]backup-simplify: Simplify (* 0.5 (cos (/ -1 re))) into (* 0.5 (cos (/ -1 re))) * [misc]backup-simplify: Simplify (+ (exp (/ 1 im)) (exp (/ -1 im))) into (+ (exp (/ 1 im)) (exp (/ -1 im))) * [misc]backup-simplify: Simplify (* (* 0.5 (cos (/ -1 re))) (+ (exp (/ 1 im)) (exp (/ -1 im)))) into (* 0.5 (* (cos (/ -1 re)) (+ (exp (/ 1 im)) (exp (/ -1 im))))) * [misc]backup-simplify: Simplify (sqrt (* 0.5 (* (cos (/ -1 re)) (+ (exp (/ 1 im)) (exp (/ -1 im)))))) into (* (sqrt (* (cos (/ -1 re)) (+ (exp (/ 1 im)) (exp (/ -1 im))))) (sqrt 0.5)) * [misc]backup-simplify: Simplify (- (/ -1 im)) into (/ 1 im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (* 0 (cos (/ -1 re)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 0.5 (cos (/ -1 re))) 0) (* 0 (+ (exp (/ 1 im)) (exp (/ -1 im))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* 0.5 (* (cos (/ -1 re)) (+ (exp (/ 1 im)) (exp (/ -1 im)))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (* (* 0.5 (cos (/ 1 (- re)))) (+ (exp (- (/ 1 (- im)))) (exp (/ 1 (- im))))))) in re * [misc]taylor: Taking taylor expansion of (sqrt (* (* 0.5 (cos (/ 1 (- re)))) (+ (exp (- (/ 1 (- im)))) (exp (/ 1 (- im)))))) in re * [misc]taylor: Taking taylor expansion of (* (* 0.5 (cos (/ 1 (- re)))) (+ (exp (- (/ 1 (- im)))) (exp (/ 1 (- im))))) in re * [misc]taylor: Taking taylor expansion of (* 0.5 (cos (/ 1 (- re)))) in re * [misc]taylor: Taking taylor expansion of 0.5 in re * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- re))) in re * [misc]taylor: Taking taylor expansion of (/ 1 (- re)) in re * [misc]taylor: Taking taylor expansion of (- re) in re * [misc]taylor: Taking taylor expansion of re in re * [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 (cos (/ 1 (- re))) into (cos (/ -1 re)) * [misc]taylor: Taking taylor expansion of (+ (exp (- (/ 1 (- im)))) (exp (/ 1 (- im)))) in re * [misc]taylor: Taking taylor expansion of (exp (- (/ 1 (- im)))) in re * [misc]taylor: Taking taylor expansion of (- (/ 1 (- im))) in re * [misc]taylor: Taking taylor expansion of (/ 1 (- im)) in re * [misc]taylor: Taking taylor expansion of (- im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (/ 1 (- im)) into (/ -1 im) * [misc]backup-simplify: Simplify (- (/ -1 im)) into (/ 1 im) * [misc]backup-simplify: Simplify (- (/ -1 im)) into (/ 1 im) * [misc]backup-simplify: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- im))) in re * [misc]taylor: Taking taylor expansion of (/ 1 (- im)) in re * [misc]taylor: Taking taylor expansion of (- im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (/ 1 (- im)) into (/ -1 im) * [misc]backup-simplify: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) * [misc]backup-simplify: Simplify (* 0.5 (cos (/ -1 re))) into (* 0.5 (cos (/ -1 re))) * [misc]backup-simplify: Simplify (+ (exp (/ 1 im)) (exp (/ -1 im))) into (+ (exp (/ 1 im)) (exp (/ -1 im))) * [misc]backup-simplify: Simplify (* (* 0.5 (cos (/ -1 re))) (+ (exp (/ 1 im)) (exp (/ -1 im)))) into (* 0.5 (* (cos (/ -1 re)) (+ (exp (/ 1 im)) (exp (/ -1 im))))) * [misc]backup-simplify: Simplify (sqrt (* 0.5 (* (cos (/ -1 re)) (+ (exp (/ 1 im)) (exp (/ -1 im)))))) into (* (sqrt (* (cos (/ -1 re)) (+ (exp (/ 1 im)) (exp (/ -1 im))))) (sqrt 0.5)) * [misc]backup-simplify: Simplify (- (/ -1 im)) into (/ 1 im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (* 0 (cos (/ -1 re)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 0.5 (cos (/ -1 re))) 0) (* 0 (+ (exp (/ 1 im)) (exp (/ -1 im))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* 0.5 (* (cos (/ -1 re)) (+ (exp (/ 1 im)) (exp (/ -1 im)))))))) into 0 * [misc]backup-simplify: Simplify (* (* (sqrt (* (cos (/ -1 re)) (+ (exp (/ 1 im)) (exp (/ -1 im))))) (sqrt 0.5)) (* (sqrt (* (cos (/ -1 re)) (+ (exp (/ 1 im)) (exp (/ -1 im))))) (sqrt 0.5))) into (* (cos (/ -1 re)) (* (+ (exp (/ 1 im)) (exp (/ -1 im))) (sqr (sqrt 0.5)))) * [misc]taylor: Taking taylor expansion of (* (cos (/ -1 re)) (* (+ (exp (/ 1 im)) (exp (/ -1 im))) (sqr (sqrt 0.5)))) in im * [misc]taylor: Taking taylor expansion of (cos (/ -1 re)) in im * [misc]taylor: Taking taylor expansion of (/ -1 re) in im * [misc]taylor: Taking taylor expansion of -1 in im * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]backup-simplify: Simplify (/ -1 re) into (/ -1 re) * [misc]backup-simplify: Simplify (cos (/ -1 re)) into (cos (/ -1 re)) * [misc]backup-simplify: Simplify (sin (/ -1 re)) into (sin (/ -1 re)) * [misc]taylor: Taking taylor expansion of (* (+ (exp (/ 1 im)) (exp (/ -1 im))) (sqr (sqrt 0.5))) in 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 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)) in im * [misc]taylor: Taking taylor expansion of (/ -1 im) in im * [misc]taylor: Taking taylor expansion of -1 in im * [misc]backup-simplify: Simplify -1 into -1 * [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 (sqr (sqrt 0.5)) in im * [misc]taylor: Taking taylor expansion of (sqrt 0.5) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]backup-simplify: Simplify (sqrt 0.5) into (sqrt 0.5) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 0.5))) into 0 * [misc]backup-simplify: Simplify (* (cos (/ -1 re)) 1) into (cos (/ -1 re)) * [misc]backup-simplify: Simplify (* (sin (/ -1 re)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1 re)) 0) into (cos (/ -1 re)) * [misc]backup-simplify: Simplify (+ (exp (/ 1 im)) (exp (/ -1 im))) into (+ (exp (/ 1 im)) (exp (/ -1 im))) * [misc]backup-simplify: Simplify (* (sqrt 0.5) (sqrt 0.5)) into (sqr (sqrt 0.5)) * [misc]backup-simplify: Simplify (* (+ (exp (/ 1 im)) (exp (/ -1 im))) (sqr (sqrt 0.5))) into (* (+ (exp (/ 1 im)) (exp (/ -1 im))) (sqr (sqrt 0.5))) * [misc]backup-simplify: Simplify (* (cos (/ -1 re)) (* (+ (exp (/ 1 im)) (exp (/ -1 im))) (sqr (sqrt 0.5)))) into (* (cos (/ -1 re)) (* (+ (exp (/ 1 im)) (exp (/ -1 im))) (sqr (sqrt 0.5)))) * [misc]backup-simplify: Simplify (* (cos (/ -1 re)) (* (+ (exp (/ 1 im)) (exp (/ -1 im))) (sqr (sqrt 0.5)))) into (* (cos (/ -1 re)) (* (+ (exp (/ 1 im)) (exp (/ -1 im))) (sqr (sqrt 0.5)))) * [misc]backup-simplify: Simplify (+ (* (* (sqrt (* (cos (/ -1 re)) (+ (exp (/ 1 im)) (exp (/ -1 im))))) (sqrt 0.5)) 0) (* 0 (* (sqrt (* (cos (/ -1 re)) (+ (exp (/ 1 im)) (exp (/ -1 im))))) (sqrt 0.5)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt 0.5) 0) (* 0 (sqrt 0.5))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ (exp (/ 1 im)) (exp (/ -1 im))) 0) (* 0 (sqr (sqrt 0.5)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 re)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 re) (+ (* (/ -1 re) (/ 0 re)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 re)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 re)) 0) (* 0 (* (+ (exp (/ 1 im)) (exp (/ -1 im))) (sqr (sqrt 0.5))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ -1 im)) into (/ 1 im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 im) (/ 0 (- im))) (* 0 (/ 0 (- im))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 im) (/ 0 (- im))) (* 0 (/ 0 (- im))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (cos (/ -1 re))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 0.5 (cos (/ -1 re))) 0) (+ (* 0 0) (* 0 (+ (exp (/ 1 im)) (exp (/ -1 im)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (* (sqrt (* (cos (/ -1 re)) (+ (exp (/ 1 im)) (exp (/ -1 im))))) (sqrt 0.5)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (sqrt (* (cos (/ -1 re)) (+ (exp (/ 1 im)) (exp (/ -1 im))))) (sqrt 0.5)) 0) (+ (* 0 0) (* 0 (* (sqrt (* (cos (/ -1 re)) (+ (exp (/ 1 im)) (exp (/ -1 im))))) (sqrt 0.5))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [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 (sqr 0) (+)) (* 2 (sqrt 0.5))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt 0.5) 0) (+ (* 0 0) (* 0 (sqrt 0.5)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ (exp (/ 1 im)) (exp (/ -1 im))) 0) (+ (* 0 0) (* 0 (sqr (sqrt 0.5))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 re)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 re) (+ (* (/ -1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 re)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 re)) 0) (+ (* 0 0) (* 0 (* (+ (exp (/ 1 im)) (exp (/ -1 im))) (sqr (sqrt 0.5)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ -1 im)) into (/ 1 im) * [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 (- im) into (- im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 im) (/ 0 (- im))) (* 0 (/ 0 (- im))) (* 0 (/ 0 (- im))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 im) (/ 0 (- im))) (* 0 (/ 0 (- im))) (* 0 (/ 0 (- im))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 re)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 0.5 (cos (/ -1 re))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (exp (/ 1 im)) (exp (/ -1 im))))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (* (sqrt (* (cos (/ -1 re)) (+ (exp (/ 1 im)) (exp (/ -1 im))))) (sqrt 0.5)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (sqrt (* (cos (/ -1 re)) (+ (exp (/ 1 im)) (exp (/ -1 im))))) (sqrt 0.5)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sqrt (* (cos (/ -1 re)) (+ (exp (/ 1 im)) (exp (/ -1 im))))) (sqrt 0.5)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (cos (/ -1 re)) (* (+ (exp (/ 1 im)) (exp (/ -1 im))) (sqr (sqrt 0.5)))) into (* (cos (/ -1 re)) (* (+ (exp (/ 1 im)) (exp (/ -1 im))) (sqr (sqrt 0.5)))) * [misc]approximate: Taking taylor expansion of (sqrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) in im * [misc]taylor: Taking taylor expansion of (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) in im * [misc]taylor: Taking taylor expansion of (* 0.5 (cos re)) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (cos re) in im * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]backup-simplify: Simplify (cos re) into (cos re) * [misc]backup-simplify: Simplify (sin re) into (sin re) * [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 (* (cos re) 1) into (cos re) * [misc]backup-simplify: Simplify (* (sin re) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos re) 0) into (cos re) * [misc]backup-simplify: Simplify (* 0.5 (cos re)) into (* 0.5 (cos re)) * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (* (* 0.5 (cos re)) 2) into (* 1.0 (cos re)) * [misc]backup-simplify: Simplify (sqrt (* 1.0 (cos re))) into (* (sqrt (cos re)) (sqrt 1.0)) * [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 (+ (* (cos re) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin re) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (* 0 (cos re))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 0.5 (cos re)) 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* 1.0 (cos re))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) in re * [misc]taylor: Taking taylor expansion of (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) in re * [misc]taylor: Taking taylor expansion of (* 0.5 (cos re)) in re * [misc]taylor: Taking taylor expansion of 0.5 in re * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (cos re) in re * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (exp (- im)) (exp im)) in re * [misc]taylor: Taking taylor expansion of (exp (- im)) in re * [misc]taylor: Taking taylor expansion of (- im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (exp (- im)) into (exp (- im)) * [misc]taylor: Taking taylor expansion of (exp im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (exp im) into (exp im) * [misc]backup-simplify: Simplify (* 0.5 1) into 0.5 * [misc]backup-simplify: Simplify (+ (exp (- im)) (exp im)) into (+ (exp im) (exp (- im))) * [misc]backup-simplify: Simplify (* 0.5 (+ (exp im) (exp (- im)))) into (* 0.5 (+ (exp im) (exp (- im)))) * [misc]backup-simplify: Simplify (sqrt (* 0.5 (+ (exp im) (exp (- im))))) into (* (sqrt (+ (exp im) (exp (- im)))) (sqrt 0.5)) * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- im)) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp im) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (* 0 (+ (exp im) (exp (- im))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* 0.5 (+ (exp im) (exp (- im))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) in re * [misc]taylor: Taking taylor expansion of (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) in re * [misc]taylor: Taking taylor expansion of (* 0.5 (cos re)) in re * [misc]taylor: Taking taylor expansion of 0.5 in re * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (cos re) in re * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (exp (- im)) (exp im)) in re * [misc]taylor: Taking taylor expansion of (exp (- im)) in re * [misc]taylor: Taking taylor expansion of (- im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (exp (- im)) into (exp (- im)) * [misc]taylor: Taking taylor expansion of (exp im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (exp im) into (exp im) * [misc]backup-simplify: Simplify (* 0.5 1) into 0.5 * [misc]backup-simplify: Simplify (+ (exp (- im)) (exp im)) into (+ (exp im) (exp (- im))) * [misc]backup-simplify: Simplify (* 0.5 (+ (exp im) (exp (- im)))) into (* 0.5 (+ (exp im) (exp (- im)))) * [misc]backup-simplify: Simplify (sqrt (* 0.5 (+ (exp im) (exp (- im))))) into (* (sqrt (+ (exp im) (exp (- im)))) (sqrt 0.5)) * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- im)) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp im) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (* 0 (+ (exp im) (exp (- im))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* 0.5 (+ (exp im) (exp (- im))))))) into 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (+ (exp im) (exp (- im)))) (sqrt 0.5)) in im * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp im) (exp (- im)))) in im * [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]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]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]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (- 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 (* 2 (sqrt 2))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt 0.5) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]backup-simplify: Simplify (sqrt 0.5) into (sqrt 0.5) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 0.5))) into 0 * [misc]backup-simplify: Simplify (* (sqrt 2) (sqrt 0.5)) into (* (sqrt 2) (sqrt 0.5)) * [misc]backup-simplify: Simplify (* (sqrt 2) (sqrt 0.5)) into (* (sqrt 2) (sqrt 0.5)) * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (sqrt 0.5))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp im) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (+ (* 0.5 (- 1/2)) (+ (* 0 0) (* 0 1))) into (- 0.25) * [misc]backup-simplify: Simplify (+ (* 0.5 0) (+ (* 0 0) (* (- 0.25) (+ (exp im) (exp (- im)))))) into (- (+ (* 0.25 (exp im)) (* 0.25 (exp (- im))))) * [misc]backup-simplify: Simplify (/ (- (- (+ (* 0.25 (exp im)) (* 0.25 (exp (- im))))) (sqr 0) (+)) (* 2 (* (sqrt (+ (exp im) (exp (- im)))) (sqrt 0.5)))) into (* -1/2 (* (sqrt (/ 1 (+ (exp im) (exp (- im))))) (/ (+ (* 0.25 (exp im)) (* 0.25 (exp (- im)))) (sqrt 0.5)))) * [misc]taylor: Taking taylor expansion of (* -1/2 (* (sqrt (/ 1 (+ (exp im) (exp (- im))))) (/ (+ (* 0.25 (exp im)) (* 0.25 (exp (- im)))) (sqrt 0.5)))) in im * [misc]taylor: Taking taylor expansion of -1/2 in im * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 (+ (exp im) (exp (- im))))) (/ (+ (* 0.25 (exp im)) (* 0.25 (exp (- im)))) (sqrt 0.5))) in im * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (+ (exp im) (exp (- im))))) in im * [misc]taylor: Taking taylor expansion of (/ 1 (+ (exp im) (exp (- im)))) in im * [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]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]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]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (- 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 (- (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 * [misc]taylor: Taking taylor expansion of (/ (+ (* 0.25 (exp im)) (* 0.25 (exp (- im)))) (sqrt 0.5)) in im * [misc]taylor: Taking taylor expansion of (+ (* 0.25 (exp im)) (* 0.25 (exp (- im)))) in im * [misc]taylor: Taking taylor expansion of (* 0.25 (exp im)) in im * [misc]taylor: Taking taylor expansion of 0.25 in im * [misc]backup-simplify: Simplify 0.25 into 0.25 * [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 (* 0.25 (exp (- im))) in im * [misc]taylor: Taking taylor expansion of 0.25 in im * [misc]backup-simplify: Simplify 0.25 into 0.25 * [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 (sqrt 0.5) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]backup-simplify: Simplify (sqrt 0.5) into (sqrt 0.5) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 0.5))) into 0 * [misc]backup-simplify: Simplify (* 0.25 1) into 0.25 * [misc]backup-simplify: Simplify (* 0.25 1) into 0.25 * [misc]backup-simplify: Simplify (+ 0.25 0.25) into 0.5 * [misc]backup-simplify: Simplify (/ 0.5 (sqrt 0.5)) into (/ 0.5 (sqrt 0.5)) * [misc]backup-simplify: Simplify (* (sqrt 1/2) (/ 0.5 (sqrt 0.5))) into (* 0.5 (/ (sqrt 1/2) (sqrt 0.5))) * [misc]backup-simplify: Simplify (* -1/2 (* 0.5 (/ (sqrt 1/2) (sqrt 0.5)))) into (* -0.25 (/ (sqrt 1/2) (sqrt 0.5))) * [misc]backup-simplify: Simplify (* -0.25 (/ (sqrt 1/2) (sqrt 0.5))) into (* -0.25 (/ (sqrt 1/2) (sqrt 0.5))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt 0.5))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [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 (+ 1/2 1/2) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (sqr 0) (+)) (* 2 (sqrt 2))) into (/ 1/2 (sqrt 2)) * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* (/ 1/2 (sqrt 2)) (sqrt 0.5)))) into (* 1/2 (/ (sqrt 0.5) (sqrt 2))) * [misc]backup-simplify: Simplify (* 1/2 (/ (sqrt 0.5) (sqrt 2))) into (* 1/2 (/ (sqrt 0.5) (sqrt 2))) * [misc]backup-simplify: Simplify (+ (* (* 1/2 (/ (sqrt 0.5) (sqrt 2))) (sqr (* im 1))) (+ (* (* -0.25 (/ (sqrt 1/2) (sqrt 0.5))) (sqr (* 1 re))) (* (sqrt 2) (sqrt 0.5)))) into (- (+ (* 1/2 (/ (* (sqr im) (sqrt 0.5)) (sqrt 2))) (* (sqrt 2) (sqrt 0.5))) (* 0.25 (/ (* (sqrt 1/2) (sqr re)) (sqrt 0.5)))) * [misc]approximate: Taking taylor expansion of (sqrt (* (* 0.5 (cos (/ 1 re))) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (* (* 0.5 (cos (/ 1 re))) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in im * [misc]taylor: Taking taylor expansion of (* (* 0.5 (cos (/ 1 re))) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in im * [misc]taylor: Taking taylor expansion of (* 0.5 (cos (/ 1 re))) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (cos (/ 1 re)) in im * [misc]taylor: Taking taylor expansion of (/ 1 re) in im * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]backup-simplify: Simplify (/ 1 re) into (/ 1 re) * [misc]backup-simplify: Simplify (cos (/ 1 re)) into (cos (/ 1 re)) * [misc]backup-simplify: Simplify (sin (/ 1 re)) into (sin (/ 1 re)) * [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 (* (cos (/ 1 re)) 1) into (cos (/ 1 re)) * [misc]backup-simplify: Simplify (* (sin (/ 1 re)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1 re)) 0) into (cos (/ 1 re)) * [misc]backup-simplify: Simplify (* 0.5 (cos (/ 1 re))) into (* 0.5 (cos (/ 1 re))) * [misc]backup-simplify: Simplify (+ (exp (- (/ 1 im))) (exp (/ 1 im))) into (+ (exp (/ 1 im)) (exp (- (/ 1 im)))) * [misc]backup-simplify: Simplify (* (* 0.5 (cos (/ 1 re))) (+ (exp (/ 1 im)) (exp (- (/ 1 im))))) into (* 0.5 (* (cos (/ 1 re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im)))))) * [misc]backup-simplify: Simplify (sqrt (* 0.5 (* (cos (/ 1 re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im))))))) into (* (sqrt (* (cos (/ 1 re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im)))))) (sqrt 0.5)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 re)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 re)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (* 0 (cos (/ 1 re)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 0.5 (cos (/ 1 re))) 0) (* 0 (+ (exp (/ 1 im)) (exp (- (/ 1 im)))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* 0.5 (* (cos (/ 1 re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im))))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (* (* 0.5 (cos (/ 1 re))) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in re * [misc]taylor: Taking taylor expansion of (* (* 0.5 (cos (/ 1 re))) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in re * [misc]taylor: Taking taylor expansion of (* 0.5 (cos (/ 1 re))) in re * [misc]taylor: Taking taylor expansion of 0.5 in re * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (cos (/ 1 re)) in re * [misc]taylor: Taking taylor expansion of (/ 1 re) in re * [misc]taylor: Taking taylor expansion of re in re * [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 (cos (/ 1 re)) into (cos (/ 1 re)) * [misc]taylor: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in re * [misc]taylor: Taking taylor expansion of (exp (- (/ 1 im))) in re * [misc]taylor: Taking taylor expansion of (- (/ 1 im)) in re * [misc]taylor: Taking taylor expansion of (/ 1 im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (/ 1 im) into (/ 1 im) * [misc]backup-simplify: Simplify (- (/ 1 im)) into (- (/ 1 im)) * [misc]backup-simplify: Simplify (- (/ 1 im)) into (- (/ 1 im)) * [misc]backup-simplify: Simplify (exp (- (/ 1 im))) into (exp (- (/ 1 im))) * [misc]taylor: Taking taylor expansion of (exp (/ 1 im)) in re * [misc]taylor: Taking taylor expansion of (/ 1 im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (/ 1 im) into (/ 1 im) * [misc]backup-simplify: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) * [misc]backup-simplify: Simplify (* 0.5 (cos (/ 1 re))) into (* 0.5 (cos (/ 1 re))) * [misc]backup-simplify: Simplify (+ (exp (- (/ 1 im))) (exp (/ 1 im))) into (+ (exp (/ 1 im)) (exp (- (/ 1 im)))) * [misc]backup-simplify: Simplify (* (* 0.5 (cos (/ 1 re))) (+ (exp (/ 1 im)) (exp (- (/ 1 im))))) into (* 0.5 (* (cos (/ 1 re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im)))))) * [misc]backup-simplify: Simplify (sqrt (* 0.5 (* (cos (/ 1 re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im))))))) into (* (sqrt (* (cos (/ 1 re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im)))))) (sqrt 0.5)) * [misc]backup-simplify: Simplify (- (/ 1 im)) into (- (/ 1 im)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (/ 1 im))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (* 0 (cos (/ 1 re)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 0.5 (cos (/ 1 re))) 0) (* 0 (+ (exp (/ 1 im)) (exp (- (/ 1 im)))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* 0.5 (* (cos (/ 1 re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im))))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (* (* 0.5 (cos (/ 1 re))) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in re * [misc]taylor: Taking taylor expansion of (* (* 0.5 (cos (/ 1 re))) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in re * [misc]taylor: Taking taylor expansion of (* 0.5 (cos (/ 1 re))) in re * [misc]taylor: Taking taylor expansion of 0.5 in re * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (cos (/ 1 re)) in re * [misc]taylor: Taking taylor expansion of (/ 1 re) in re * [misc]taylor: Taking taylor expansion of re in re * [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 (cos (/ 1 re)) into (cos (/ 1 re)) * [misc]taylor: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in re * [misc]taylor: Taking taylor expansion of (exp (- (/ 1 im))) in re * [misc]taylor: Taking taylor expansion of (- (/ 1 im)) in re * [misc]taylor: Taking taylor expansion of (/ 1 im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (/ 1 im) into (/ 1 im) * [misc]backup-simplify: Simplify (- (/ 1 im)) into (- (/ 1 im)) * [misc]backup-simplify: Simplify (- (/ 1 im)) into (- (/ 1 im)) * [misc]backup-simplify: Simplify (exp (- (/ 1 im))) into (exp (- (/ 1 im))) * [misc]taylor: Taking taylor expansion of (exp (/ 1 im)) in re * [misc]taylor: Taking taylor expansion of (/ 1 im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (/ 1 im) into (/ 1 im) * [misc]backup-simplify: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) * [misc]backup-simplify: Simplify (* 0.5 (cos (/ 1 re))) into (* 0.5 (cos (/ 1 re))) * [misc]backup-simplify: Simplify (+ (exp (- (/ 1 im))) (exp (/ 1 im))) into (+ (exp (/ 1 im)) (exp (- (/ 1 im)))) * [misc]backup-simplify: Simplify (* (* 0.5 (cos (/ 1 re))) (+ (exp (/ 1 im)) (exp (- (/ 1 im))))) into (* 0.5 (* (cos (/ 1 re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im)))))) * [misc]backup-simplify: Simplify (sqrt (* 0.5 (* (cos (/ 1 re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im))))))) into (* (sqrt (* (cos (/ 1 re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im)))))) (sqrt 0.5)) * [misc]backup-simplify: Simplify (- (/ 1 im)) into (- (/ 1 im)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (/ 1 im))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (* 0 (cos (/ 1 re)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 0.5 (cos (/ 1 re))) 0) (* 0 (+ (exp (/ 1 im)) (exp (- (/ 1 im)))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* 0.5 (* (cos (/ 1 re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im))))))))) into 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (* (cos (/ 1 re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im)))))) (sqrt 0.5)) in im * [misc]taylor: Taking taylor expansion of (sqrt (* (cos (/ 1 re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im)))))) in im * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im))))) in im * [misc]taylor: Taking taylor expansion of (cos (/ 1 re)) in im * [misc]taylor: Taking taylor expansion of (/ 1 re) in im * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]backup-simplify: Simplify (/ 1 re) into (/ 1 re) * [misc]backup-simplify: Simplify (cos (/ 1 re)) into (cos (/ 1 re)) * [misc]backup-simplify: Simplify (sin (/ 1 re)) into (sin (/ 1 re)) * [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 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))) 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]backup-simplify: Simplify (* (cos (/ 1 re)) 1) into (cos (/ 1 re)) * [misc]backup-simplify: Simplify (* (sin (/ 1 re)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1 re)) 0) into (cos (/ 1 re)) * [misc]backup-simplify: Simplify (+ (exp (/ 1 im)) (exp (- (/ 1 im)))) into (+ (exp (/ 1 im)) (exp (- (/ 1 im)))) * [misc]backup-simplify: Simplify (* (cos (/ 1 re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im))))) into (* (cos (/ 1 re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im))))) * [misc]backup-simplify: Simplify (sqrt (* (cos (/ 1 re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im)))))) into (sqrt (* (cos (/ 1 re)) (+ (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 (+ (* (cos (/ 1 re)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 re)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 re)) 0) (* 0 (+ (exp (/ 1 im)) (exp (- (/ 1 im)))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* (cos (/ 1 re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im)))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt 0.5) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]backup-simplify: Simplify (sqrt 0.5) into (sqrt 0.5) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 0.5))) into 0 * [misc]backup-simplify: Simplify (* (sqrt (* (cos (/ 1 re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im)))))) (sqrt 0.5)) into (* (sqrt (* (cos (/ 1 re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im)))))) (sqrt 0.5)) * [misc]backup-simplify: Simplify (* (sqrt (* (cos (/ 1 re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im)))))) (sqrt 0.5)) into (* (sqrt (* (cos (/ 1 re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im)))))) (sqrt 0.5)) * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (* (cos (/ 1 re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im)))))) 0) (* 0 (sqrt 0.5))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 1 im)) into (- (/ 1 im)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (/ 1 im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (cos (/ 1 re))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 0.5 (cos (/ 1 re))) 0) (+ (* 0 0) (* 0 (+ (exp (/ 1 im)) (exp (- (/ 1 im))))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (* (sqrt (* (cos (/ 1 re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im)))))) (sqrt 0.5)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [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 (sqr 0) (+)) (* 2 (sqrt 0.5))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 re)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 re)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 re)) 0) (+ (* 0 0) (* 0 (+ (exp (/ 1 im)) (exp (- (/ 1 im))))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (* (cos (/ 1 re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (* (cos (/ 1 re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im)))))) 0) (+ (* 0 0) (* 0 (sqrt 0.5)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 1 im)) into (- (/ 1 im)) * [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 (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)) (* 0 (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (/ 1 im))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)) (* 0 (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 re)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 0.5 (cos (/ 1 re))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (exp (/ 1 im)) (exp (- (/ 1 im)))))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (* (sqrt (* (cos (/ 1 re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im)))))) (sqrt 0.5)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (sqrt (* (cos (/ 1 re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im)))))) (sqrt 0.5)) into (* (sqrt (* (cos (/ 1 re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im)))))) (sqrt 0.5)) * [misc]approximate: Taking taylor expansion of (sqrt (* (* 0.5 (cos (/ 1 (- re)))) (+ (exp (- (/ 1 (- im)))) (exp (/ 1 (- im)))))) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (* (* 0.5 (cos (/ 1 (- re)))) (+ (exp (- (/ 1 (- im)))) (exp (/ 1 (- im)))))) in im * [misc]taylor: Taking taylor expansion of (* (* 0.5 (cos (/ 1 (- re)))) (+ (exp (- (/ 1 (- im)))) (exp (/ 1 (- im))))) in im * [misc]taylor: Taking taylor expansion of (* 0.5 (cos (/ 1 (- re)))) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- re))) in im * [misc]taylor: Taking taylor expansion of (/ 1 (- re)) in im * [misc]taylor: Taking taylor expansion of (- re) in im * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]backup-simplify: Simplify (- re) into (- re) * [misc]backup-simplify: Simplify (- re) into (- re) * [misc]backup-simplify: Simplify (/ 1 (- re)) into (/ -1 re) * [misc]backup-simplify: Simplify (cos (/ -1 re)) into (cos (/ -1 re)) * [misc]backup-simplify: Simplify (sin (/ -1 re)) into (sin (/ -1 re)) * [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 (* (cos (/ -1 re)) 1) into (cos (/ -1 re)) * [misc]backup-simplify: Simplify (* (sin (/ -1 re)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1 re)) 0) into (cos (/ -1 re)) * [misc]backup-simplify: Simplify (* 0.5 (cos (/ -1 re))) into (* 0.5 (cos (/ -1 re))) * [misc]backup-simplify: Simplify (+ (exp (/ 1 im)) (exp (/ -1 im))) into (+ (exp (/ 1 im)) (exp (/ -1 im))) * [misc]backup-simplify: Simplify (* (* 0.5 (cos (/ -1 re))) (+ (exp (/ 1 im)) (exp (/ -1 im)))) into (* 0.5 (* (cos (/ -1 re)) (+ (exp (/ 1 im)) (exp (/ -1 im))))) * [misc]backup-simplify: Simplify (sqrt (* 0.5 (* (cos (/ -1 re)) (+ (exp (/ 1 im)) (exp (/ -1 im)))))) into (* (sqrt (* (cos (/ -1 re)) (+ (exp (/ 1 im)) (exp (/ -1 im))))) (sqrt 0.5)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 re)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- re) into (- re) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 re) (/ 0 (- re))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 re)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (* 0 (cos (/ -1 re)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 0.5 (cos (/ -1 re))) 0) (* 0 (+ (exp (/ 1 im)) (exp (/ -1 im))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* 0.5 (* (cos (/ -1 re)) (+ (exp (/ 1 im)) (exp (/ -1 im)))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (* (* 0.5 (cos (/ 1 (- re)))) (+ (exp (- (/ 1 (- im)))) (exp (/ 1 (- im)))))) in re * [misc]taylor: Taking taylor expansion of (* (* 0.5 (cos (/ 1 (- re)))) (+ (exp (- (/ 1 (- im)))) (exp (/ 1 (- im))))) in re * [misc]taylor: Taking taylor expansion of (* 0.5 (cos (/ 1 (- re)))) in re * [misc]taylor: Taking taylor expansion of 0.5 in re * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- re))) in re * [misc]taylor: Taking taylor expansion of (/ 1 (- re)) in re * [misc]taylor: Taking taylor expansion of (- re) in re * [misc]taylor: Taking taylor expansion of re in re * [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 (cos (/ 1 (- re))) into (cos (/ -1 re)) * [misc]taylor: Taking taylor expansion of (+ (exp (- (/ 1 (- im)))) (exp (/ 1 (- im)))) in re * [misc]taylor: Taking taylor expansion of (exp (- (/ 1 (- im)))) in re * [misc]taylor: Taking taylor expansion of (- (/ 1 (- im))) in re * [misc]taylor: Taking taylor expansion of (/ 1 (- im)) in re * [misc]taylor: Taking taylor expansion of (- im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (/ 1 (- im)) into (/ -1 im) * [misc]backup-simplify: Simplify (- (/ -1 im)) into (/ 1 im) * [misc]backup-simplify: Simplify (- (/ -1 im)) into (/ 1 im) * [misc]backup-simplify: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- im))) in re * [misc]taylor: Taking taylor expansion of (/ 1 (- im)) in re * [misc]taylor: Taking taylor expansion of (- im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (/ 1 (- im)) into (/ -1 im) * [misc]backup-simplify: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) * [misc]backup-simplify: Simplify (* 0.5 (cos (/ -1 re))) into (* 0.5 (cos (/ -1 re))) * [misc]backup-simplify: Simplify (+ (exp (/ 1 im)) (exp (/ -1 im))) into (+ (exp (/ 1 im)) (exp (/ -1 im))) * [misc]backup-simplify: Simplify (* (* 0.5 (cos (/ -1 re))) (+ (exp (/ 1 im)) (exp (/ -1 im)))) into (* 0.5 (* (cos (/ -1 re)) (+ (exp (/ 1 im)) (exp (/ -1 im))))) * [misc]backup-simplify: Simplify (sqrt (* 0.5 (* (cos (/ -1 re)) (+ (exp (/ 1 im)) (exp (/ -1 im)))))) into (* (sqrt (* (cos (/ -1 re)) (+ (exp (/ 1 im)) (exp (/ -1 im))))) (sqrt 0.5)) * [misc]backup-simplify: Simplify (- (/ -1 im)) into (/ 1 im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (* 0 (cos (/ -1 re)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 0.5 (cos (/ -1 re))) 0) (* 0 (+ (exp (/ 1 im)) (exp (/ -1 im))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* 0.5 (* (cos (/ -1 re)) (+ (exp (/ 1 im)) (exp (/ -1 im)))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (* (* 0.5 (cos (/ 1 (- re)))) (+ (exp (- (/ 1 (- im)))) (exp (/ 1 (- im)))))) in re * [misc]taylor: Taking taylor expansion of (* (* 0.5 (cos (/ 1 (- re)))) (+ (exp (- (/ 1 (- im)))) (exp (/ 1 (- im))))) in re * [misc]taylor: Taking taylor expansion of (* 0.5 (cos (/ 1 (- re)))) in re * [misc]taylor: Taking taylor expansion of 0.5 in re * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- re))) in re * [misc]taylor: Taking taylor expansion of (/ 1 (- re)) in re * [misc]taylor: Taking taylor expansion of (- re) in re * [misc]taylor: Taking taylor expansion of re in re * [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 (cos (/ 1 (- re))) into (cos (/ -1 re)) * [misc]taylor: Taking taylor expansion of (+ (exp (- (/ 1 (- im)))) (exp (/ 1 (- im)))) in re * [misc]taylor: Taking taylor expansion of (exp (- (/ 1 (- im)))) in re * [misc]taylor: Taking taylor expansion of (- (/ 1 (- im))) in re * [misc]taylor: Taking taylor expansion of (/ 1 (- im)) in re * [misc]taylor: Taking taylor expansion of (- im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (/ 1 (- im)) into (/ -1 im) * [misc]backup-simplify: Simplify (- (/ -1 im)) into (/ 1 im) * [misc]backup-simplify: Simplify (- (/ -1 im)) into (/ 1 im) * [misc]backup-simplify: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- im))) in re * [misc]taylor: Taking taylor expansion of (/ 1 (- im)) in re * [misc]taylor: Taking taylor expansion of (- im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (/ 1 (- im)) into (/ -1 im) * [misc]backup-simplify: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) * [misc]backup-simplify: Simplify (* 0.5 (cos (/ -1 re))) into (* 0.5 (cos (/ -1 re))) * [misc]backup-simplify: Simplify (+ (exp (/ 1 im)) (exp (/ -1 im))) into (+ (exp (/ 1 im)) (exp (/ -1 im))) * [misc]backup-simplify: Simplify (* (* 0.5 (cos (/ -1 re))) (+ (exp (/ 1 im)) (exp (/ -1 im)))) into (* 0.5 (* (cos (/ -1 re)) (+ (exp (/ 1 im)) (exp (/ -1 im))))) * [misc]backup-simplify: Simplify (sqrt (* 0.5 (* (cos (/ -1 re)) (+ (exp (/ 1 im)) (exp (/ -1 im)))))) into (* (sqrt (* (cos (/ -1 re)) (+ (exp (/ 1 im)) (exp (/ -1 im))))) (sqrt 0.5)) * [misc]backup-simplify: Simplify (- (/ -1 im)) into (/ 1 im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (* 0 (cos (/ -1 re)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 0.5 (cos (/ -1 re))) 0) (* 0 (+ (exp (/ 1 im)) (exp (/ -1 im))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* 0.5 (* (cos (/ -1 re)) (+ (exp (/ 1 im)) (exp (/ -1 im)))))))) into 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (* (cos (/ -1 re)) (+ (exp (/ 1 im)) (exp (/ -1 im))))) (sqrt 0.5)) in im * [misc]taylor: Taking taylor expansion of (sqrt (* (cos (/ -1 re)) (+ (exp (/ 1 im)) (exp (/ -1 im))))) in im * [misc]taylor: Taking taylor expansion of (* (cos (/ -1 re)) (+ (exp (/ 1 im)) (exp (/ -1 im)))) in im * [misc]taylor: Taking taylor expansion of (cos (/ -1 re)) in im * [misc]taylor: Taking taylor expansion of (/ -1 re) in im * [misc]taylor: Taking taylor expansion of -1 in im * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]backup-simplify: Simplify (/ -1 re) into (/ -1 re) * [misc]backup-simplify: Simplify (cos (/ -1 re)) into (cos (/ -1 re)) * [misc]backup-simplify: Simplify (sin (/ -1 re)) into (sin (/ -1 re)) * [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 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)) in im * [misc]taylor: Taking taylor expansion of (/ -1 im) in im * [misc]taylor: Taking taylor expansion of -1 in im * [misc]backup-simplify: Simplify -1 into -1 * [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 (* (cos (/ -1 re)) 1) into (cos (/ -1 re)) * [misc]backup-simplify: Simplify (* (sin (/ -1 re)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1 re)) 0) into (cos (/ -1 re)) * [misc]backup-simplify: Simplify (+ (exp (/ 1 im)) (exp (/ -1 im))) into (+ (exp (/ 1 im)) (exp (/ -1 im))) * [misc]backup-simplify: Simplify (* (cos (/ -1 re)) (+ (exp (/ 1 im)) (exp (/ -1 im)))) into (* (cos (/ -1 re)) (+ (exp (/ 1 im)) (exp (/ -1 im)))) * [misc]backup-simplify: Simplify (sqrt (* (cos (/ -1 re)) (+ (exp (/ 1 im)) (exp (/ -1 im))))) into (sqrt (* (cos (/ -1 re)) (+ (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 (+ (* (cos (/ -1 re)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 re) (+ (* (/ -1 re) (/ 0 re)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 re)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 re)) 0) (* 0 (+ (exp (/ 1 im)) (exp (/ -1 im))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* (cos (/ -1 re)) (+ (exp (/ 1 im)) (exp (/ -1 im))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt 0.5) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]backup-simplify: Simplify (sqrt 0.5) into (sqrt 0.5) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 0.5))) into 0 * [misc]backup-simplify: Simplify (* (sqrt (* (cos (/ -1 re)) (+ (exp (/ 1 im)) (exp (/ -1 im))))) (sqrt 0.5)) into (* (sqrt (* (cos (/ -1 re)) (+ (exp (/ 1 im)) (exp (/ -1 im))))) (sqrt 0.5)) * [misc]backup-simplify: Simplify (* (sqrt (* (cos (/ -1 re)) (+ (exp (/ 1 im)) (exp (/ -1 im))))) (sqrt 0.5)) into (* (sqrt (* (cos (/ -1 re)) (+ (exp (/ 1 im)) (exp (/ -1 im))))) (sqrt 0.5)) * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (* (cos (/ -1 re)) (+ (exp (/ 1 im)) (exp (/ -1 im))))) 0) (* 0 (sqrt 0.5))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ -1 im)) into (/ 1 im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 im) (/ 0 (- im))) (* 0 (/ 0 (- im))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 im) (/ 0 (- im))) (* 0 (/ 0 (- im))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (cos (/ -1 re))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 0.5 (cos (/ -1 re))) 0) (+ (* 0 0) (* 0 (+ (exp (/ 1 im)) (exp (/ -1 im)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (* (sqrt (* (cos (/ -1 re)) (+ (exp (/ 1 im)) (exp (/ -1 im))))) (sqrt 0.5)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [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 (sqr 0) (+)) (* 2 (sqrt 0.5))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 re)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 re) (+ (* (/ -1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 re)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 re)) 0) (+ (* 0 0) (* 0 (+ (exp (/ 1 im)) (exp (/ -1 im)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (* (cos (/ -1 re)) (+ (exp (/ 1 im)) (exp (/ -1 im))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (* (cos (/ -1 re)) (+ (exp (/ 1 im)) (exp (/ -1 im))))) 0) (+ (* 0 0) (* 0 (sqrt 0.5)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ -1 im)) into (/ 1 im) * [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 (- im) into (- im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 im) (/ 0 (- im))) (* 0 (/ 0 (- im))) (* 0 (/ 0 (- im))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 im) (/ 0 (- im))) (* 0 (/ 0 (- im))) (* 0 (/ 0 (- im))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 re)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 0.5 (cos (/ -1 re))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (exp (/ 1 im)) (exp (/ -1 im))))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (* (sqrt (* (cos (/ -1 re)) (+ (exp (/ 1 im)) (exp (/ -1 im))))) (sqrt 0.5)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (sqrt (* (cos (/ -1 re)) (+ (exp (/ 1 im)) (exp (/ -1 im))))) (sqrt 0.5)) into (* (sqrt (* (cos (/ -1 re)) (+ (exp (/ 1 im)) (exp (/ -1 im))))) (sqrt 0.5)) * [misc]approximate: Taking taylor expansion of (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) in im * [misc]taylor: Taking taylor expansion of (* 0.5 (cos re)) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (cos re) in im * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]backup-simplify: Simplify (cos re) into (cos re) * [misc]backup-simplify: Simplify (sin re) into (sin re) * [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 (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) in re * [misc]taylor: Taking taylor expansion of (* 0.5 (cos re)) in re * [misc]taylor: Taking taylor expansion of 0.5 in re * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (cos re) in re * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (exp (- im)) (exp im)) in re * [misc]taylor: Taking taylor expansion of (exp (- im)) in re * [misc]taylor: Taking taylor expansion of (- im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (exp (- im)) into (exp (- im)) * [misc]taylor: Taking taylor expansion of (exp im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (exp im) into (exp im) * [misc]taylor: Taking taylor expansion of (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) in re * [misc]taylor: Taking taylor expansion of (* 0.5 (cos re)) in re * [misc]taylor: Taking taylor expansion of 0.5 in re * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (cos re) in re * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (exp (- im)) (exp im)) in re * [misc]taylor: Taking taylor expansion of (exp (- im)) in re * [misc]taylor: Taking taylor expansion of (- im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (exp (- im)) into (exp (- im)) * [misc]taylor: Taking taylor expansion of (exp im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (exp im) into (exp im) * [misc]backup-simplify: Simplify (* 0.5 1) into 0.5 * [misc]backup-simplify: Simplify (+ (exp (- im)) (exp im)) into (+ (exp im) (exp (- im))) * [misc]backup-simplify: Simplify (* 0.5 (+ (exp im) (exp (- im)))) into (* 0.5 (+ (exp im) (exp (- im)))) * [misc]taylor: Taking taylor expansion of (* 0.5 (+ (exp im) (exp (- im)))) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [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]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]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]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (* 0.5 2) into 1.0 * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- im)) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp im) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (* 0 (+ (exp im) (exp (- im))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (- 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 (+ (* 0.5 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp im) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (+ (* 0.5 (- 1/2)) (+ (* 0 0) (* 0 1))) into (- 0.25) * [misc]backup-simplify: Simplify (+ (* 0.5 0) (+ (* 0 0) (* (- 0.25) (+ (exp im) (exp (- im)))))) into (- (+ (* 0.25 (exp im)) (* 0.25 (exp (- im))))) * [misc]taylor: Taking taylor expansion of (- (+ (* 0.25 (exp im)) (* 0.25 (exp (- im))))) in im * [misc]taylor: Taking taylor expansion of (+ (* 0.25 (exp im)) (* 0.25 (exp (- im)))) in im * [misc]taylor: Taking taylor expansion of (* 0.25 (exp im)) in im * [misc]taylor: Taking taylor expansion of 0.25 in im * [misc]backup-simplify: Simplify 0.25 into 0.25 * [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 (* 0.25 (exp (- im))) in im * [misc]taylor: Taking taylor expansion of 0.25 in im * [misc]backup-simplify: Simplify 0.25 into 0.25 * [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]backup-simplify: Simplify (* 0.25 1) into 0.25 * [misc]backup-simplify: Simplify (* 0.25 1) into 0.25 * [misc]backup-simplify: Simplify (+ 0.25 0.25) into 0.5 * [misc]backup-simplify: Simplify (- 0.5) into (- 0.5) * [misc]backup-simplify: Simplify (- 0.5) into (- 0.5) * [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 (- 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 (+ 1/2 1/2) into 1 * [misc]backup-simplify: Simplify (+ (* 0.5 1) (+ (* 0 0) (* 0 2))) into 0.5 * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]backup-simplify: Simplify (+ (* 0.5 (sqr (* im 1))) (+ (* (- 0.5) (sqr (* 1 re))) 1.0)) into (- (+ (* 0.5 (sqr im)) 1.0) (* 0.5 (sqr re))) * [misc]approximate: Taking taylor expansion of (* (* 0.5 (cos (/ 1 re))) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (* (* 0.5 (cos (/ 1 re))) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in im * [misc]taylor: Taking taylor expansion of (* 0.5 (cos (/ 1 re))) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (cos (/ 1 re)) in im * [misc]taylor: Taking taylor expansion of (/ 1 re) in im * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]backup-simplify: Simplify (/ 1 re) into (/ 1 re) * [misc]backup-simplify: Simplify (cos (/ 1 re)) into (cos (/ 1 re)) * [misc]backup-simplify: Simplify (sin (/ 1 re)) into (sin (/ 1 re)) * [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 (* (* 0.5 (cos (/ 1 re))) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in re * [misc]taylor: Taking taylor expansion of (* 0.5 (cos (/ 1 re))) in re * [misc]taylor: Taking taylor expansion of 0.5 in re * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (cos (/ 1 re)) in re * [misc]taylor: Taking taylor expansion of (/ 1 re) in re * [misc]taylor: Taking taylor expansion of re in re * [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 (cos (/ 1 re)) into (cos (/ 1 re)) * [misc]taylor: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in re * [misc]taylor: Taking taylor expansion of (exp (- (/ 1 im))) in re * [misc]taylor: Taking taylor expansion of (- (/ 1 im)) in re * [misc]taylor: Taking taylor expansion of (/ 1 im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (/ 1 im) into (/ 1 im) * [misc]backup-simplify: Simplify (- (/ 1 im)) into (- (/ 1 im)) * [misc]backup-simplify: Simplify (- (/ 1 im)) into (- (/ 1 im)) * [misc]backup-simplify: Simplify (exp (- (/ 1 im))) into (exp (- (/ 1 im))) * [misc]taylor: Taking taylor expansion of (exp (/ 1 im)) in re * [misc]taylor: Taking taylor expansion of (/ 1 im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (/ 1 im) into (/ 1 im) * [misc]backup-simplify: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) * [misc]taylor: Taking taylor expansion of (* (* 0.5 (cos (/ 1 re))) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in re * [misc]taylor: Taking taylor expansion of (* 0.5 (cos (/ 1 re))) in re * [misc]taylor: Taking taylor expansion of 0.5 in re * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (cos (/ 1 re)) in re * [misc]taylor: Taking taylor expansion of (/ 1 re) in re * [misc]taylor: Taking taylor expansion of re in re * [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 (cos (/ 1 re)) into (cos (/ 1 re)) * [misc]taylor: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in re * [misc]taylor: Taking taylor expansion of (exp (- (/ 1 im))) in re * [misc]taylor: Taking taylor expansion of (- (/ 1 im)) in re * [misc]taylor: Taking taylor expansion of (/ 1 im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (/ 1 im) into (/ 1 im) * [misc]backup-simplify: Simplify (- (/ 1 im)) into (- (/ 1 im)) * [misc]backup-simplify: Simplify (- (/ 1 im)) into (- (/ 1 im)) * [misc]backup-simplify: Simplify (exp (- (/ 1 im))) into (exp (- (/ 1 im))) * [misc]taylor: Taking taylor expansion of (exp (/ 1 im)) in re * [misc]taylor: Taking taylor expansion of (/ 1 im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (/ 1 im) into (/ 1 im) * [misc]backup-simplify: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) * [misc]backup-simplify: Simplify (* 0.5 (cos (/ 1 re))) into (* 0.5 (cos (/ 1 re))) * [misc]backup-simplify: Simplify (+ (exp (- (/ 1 im))) (exp (/ 1 im))) into (+ (exp (/ 1 im)) (exp (- (/ 1 im)))) * [misc]backup-simplify: Simplify (* (* 0.5 (cos (/ 1 re))) (+ (exp (/ 1 im)) (exp (- (/ 1 im))))) into (* 0.5 (* (cos (/ 1 re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im)))))) * [misc]taylor: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im)))))) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im))))) in im * [misc]taylor: Taking taylor expansion of (cos (/ 1 re)) in im * [misc]taylor: Taking taylor expansion of (/ 1 re) in im * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]backup-simplify: Simplify (/ 1 re) into (/ 1 re) * [misc]backup-simplify: Simplify (cos (/ 1 re)) into (cos (/ 1 re)) * [misc]backup-simplify: Simplify (sin (/ 1 re)) into (sin (/ 1 re)) * [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 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))) 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]backup-simplify: Simplify (* (cos (/ 1 re)) 1) into (cos (/ 1 re)) * [misc]backup-simplify: Simplify (* (sin (/ 1 re)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1 re)) 0) into (cos (/ 1 re)) * [misc]backup-simplify: Simplify (+ (exp (/ 1 im)) (exp (- (/ 1 im)))) into (+ (exp (/ 1 im)) (exp (- (/ 1 im)))) * [misc]backup-simplify: Simplify (* (cos (/ 1 re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im))))) into (* (cos (/ 1 re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im))))) * [misc]backup-simplify: Simplify (* 0.5 (* (cos (/ 1 re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im)))))) into (* 0.5 (* (cos (/ 1 re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im)))))) * [misc]backup-simplify: Simplify (* 0.5 (* (cos (/ 1 re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im)))))) into (* 0.5 (* (cos (/ 1 re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im)))))) * [misc]backup-simplify: Simplify (- (/ 1 im)) into (- (/ 1 im)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (/ 1 im))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (* 0 (cos (/ 1 re)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 0.5 (cos (/ 1 re))) 0) (* 0 (+ (exp (/ 1 im)) (exp (- (/ 1 im)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 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 (+ (* (cos (/ 1 re)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 re)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 re)) 0) (* 0 (+ (exp (/ 1 im)) (exp (- (/ 1 im)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (* 0 (* (cos (/ 1 re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 1 im)) into (- (/ 1 im)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (/ 1 im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (cos (/ 1 re))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 0.5 (cos (/ 1 re))) 0) (+ (* 0 0) (* 0 (+ (exp (/ 1 im)) (exp (- (/ 1 im))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [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 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 re)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 re)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 re)) 0) (+ (* 0 0) (* 0 (+ (exp (/ 1 im)) (exp (- (/ 1 im))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* (cos (/ 1 re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 1 im)) into (- (/ 1 im)) * [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 (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)) (* 0 (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (/ 1 im))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)) (* 0 (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 re)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 0.5 (cos (/ 1 re))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (exp (/ 1 im)) (exp (- (/ 1 im)))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 0.5 (* (cos (/ 1 re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im)))))) into (* 0.5 (* (cos (/ 1 re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im)))))) * [misc]approximate: Taking taylor expansion of (* (* 0.5 (cos (/ 1 (- re)))) (+ (exp (- (/ 1 (- im)))) (exp (/ 1 (- im))))) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (* (* 0.5 (cos (/ 1 (- re)))) (+ (exp (- (/ 1 (- im)))) (exp (/ 1 (- im))))) in im * [misc]taylor: Taking taylor expansion of (* 0.5 (cos (/ 1 (- re)))) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- re))) in im * [misc]taylor: Taking taylor expansion of (/ 1 (- re)) in im * [misc]taylor: Taking taylor expansion of (- re) in im * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]backup-simplify: Simplify (- re) into (- re) * [misc]backup-simplify: Simplify (- re) into (- re) * [misc]backup-simplify: Simplify (/ 1 (- re)) into (/ -1 re) * [misc]backup-simplify: Simplify (cos (/ -1 re)) into (cos (/ -1 re)) * [misc]backup-simplify: Simplify (sin (/ -1 re)) into (sin (/ -1 re)) * [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 (* (* 0.5 (cos (/ 1 (- re)))) (+ (exp (- (/ 1 (- im)))) (exp (/ 1 (- im))))) in re * [misc]taylor: Taking taylor expansion of (* 0.5 (cos (/ 1 (- re)))) in re * [misc]taylor: Taking taylor expansion of 0.5 in re * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- re))) in re * [misc]taylor: Taking taylor expansion of (/ 1 (- re)) in re * [misc]taylor: Taking taylor expansion of (- re) in re * [misc]taylor: Taking taylor expansion of re in re * [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 (cos (/ 1 (- re))) into (cos (/ -1 re)) * [misc]taylor: Taking taylor expansion of (+ (exp (- (/ 1 (- im)))) (exp (/ 1 (- im)))) in re * [misc]taylor: Taking taylor expansion of (exp (- (/ 1 (- im)))) in re * [misc]taylor: Taking taylor expansion of (- (/ 1 (- im))) in re * [misc]taylor: Taking taylor expansion of (/ 1 (- im)) in re * [misc]taylor: Taking taylor expansion of (- im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (/ 1 (- im)) into (/ -1 im) * [misc]backup-simplify: Simplify (- (/ -1 im)) into (/ 1 im) * [misc]backup-simplify: Simplify (- (/ -1 im)) into (/ 1 im) * [misc]backup-simplify: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- im))) in re * [misc]taylor: Taking taylor expansion of (/ 1 (- im)) in re * [misc]taylor: Taking taylor expansion of (- im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (/ 1 (- im)) into (/ -1 im) * [misc]backup-simplify: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) * [misc]taylor: Taking taylor expansion of (* (* 0.5 (cos (/ 1 (- re)))) (+ (exp (- (/ 1 (- im)))) (exp (/ 1 (- im))))) in re * [misc]taylor: Taking taylor expansion of (* 0.5 (cos (/ 1 (- re)))) in re * [misc]taylor: Taking taylor expansion of 0.5 in re * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- re))) in re * [misc]taylor: Taking taylor expansion of (/ 1 (- re)) in re * [misc]taylor: Taking taylor expansion of (- re) in re * [misc]taylor: Taking taylor expansion of re in re * [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 (cos (/ 1 (- re))) into (cos (/ -1 re)) * [misc]taylor: Taking taylor expansion of (+ (exp (- (/ 1 (- im)))) (exp (/ 1 (- im)))) in re * [misc]taylor: Taking taylor expansion of (exp (- (/ 1 (- im)))) in re * [misc]taylor: Taking taylor expansion of (- (/ 1 (- im))) in re * [misc]taylor: Taking taylor expansion of (/ 1 (- im)) in re * [misc]taylor: Taking taylor expansion of (- im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (/ 1 (- im)) into (/ -1 im) * [misc]backup-simplify: Simplify (- (/ -1 im)) into (/ 1 im) * [misc]backup-simplify: Simplify (- (/ -1 im)) into (/ 1 im) * [misc]backup-simplify: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- im))) in re * [misc]taylor: Taking taylor expansion of (/ 1 (- im)) in re * [misc]taylor: Taking taylor expansion of (- im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (/ 1 (- im)) into (/ -1 im) * [misc]backup-simplify: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) * [misc]backup-simplify: Simplify (* 0.5 (cos (/ -1 re))) into (* 0.5 (cos (/ -1 re))) * [misc]backup-simplify: Simplify (+ (exp (/ 1 im)) (exp (/ -1 im))) into (+ (exp (/ 1 im)) (exp (/ -1 im))) * [misc]backup-simplify: Simplify (* (* 0.5 (cos (/ -1 re))) (+ (exp (/ 1 im)) (exp (/ -1 im)))) into (* 0.5 (* (cos (/ -1 re)) (+ (exp (/ 1 im)) (exp (/ -1 im))))) * [misc]taylor: Taking taylor expansion of (* 0.5 (* (cos (/ -1 re)) (+ (exp (/ 1 im)) (exp (/ -1 im))))) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (* (cos (/ -1 re)) (+ (exp (/ 1 im)) (exp (/ -1 im)))) in im * [misc]taylor: Taking taylor expansion of (cos (/ -1 re)) in im * [misc]taylor: Taking taylor expansion of (/ -1 re) in im * [misc]taylor: Taking taylor expansion of -1 in im * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]backup-simplify: Simplify (/ -1 re) into (/ -1 re) * [misc]backup-simplify: Simplify (cos (/ -1 re)) into (cos (/ -1 re)) * [misc]backup-simplify: Simplify (sin (/ -1 re)) into (sin (/ -1 re)) * [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 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)) in im * [misc]taylor: Taking taylor expansion of (/ -1 im) in im * [misc]taylor: Taking taylor expansion of -1 in im * [misc]backup-simplify: Simplify -1 into -1 * [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 (* (cos (/ -1 re)) 1) into (cos (/ -1 re)) * [misc]backup-simplify: Simplify (* (sin (/ -1 re)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1 re)) 0) into (cos (/ -1 re)) * [misc]backup-simplify: Simplify (+ (exp (/ 1 im)) (exp (/ -1 im))) into (+ (exp (/ 1 im)) (exp (/ -1 im))) * [misc]backup-simplify: Simplify (* (cos (/ -1 re)) (+ (exp (/ 1 im)) (exp (/ -1 im)))) into (* (cos (/ -1 re)) (+ (exp (/ 1 im)) (exp (/ -1 im)))) * [misc]backup-simplify: Simplify (* 0.5 (* (cos (/ -1 re)) (+ (exp (/ 1 im)) (exp (/ -1 im))))) into (* 0.5 (* (cos (/ -1 re)) (+ (exp (/ 1 im)) (exp (/ -1 im))))) * [misc]backup-simplify: Simplify (* 0.5 (* (cos (/ -1 re)) (+ (exp (/ 1 im)) (exp (/ -1 im))))) into (* 0.5 (* (cos (/ -1 re)) (+ (exp (/ 1 im)) (exp (/ -1 im))))) * [misc]backup-simplify: Simplify (- (/ -1 im)) into (/ 1 im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (* 0 (cos (/ -1 re)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 0.5 (cos (/ -1 re))) 0) (* 0 (+ (exp (/ 1 im)) (exp (/ -1 im))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 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 (+ (* (cos (/ -1 re)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 re) (+ (* (/ -1 re) (/ 0 re)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 re)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 re)) 0) (* 0 (+ (exp (/ 1 im)) (exp (/ -1 im))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (* 0 (* (cos (/ -1 re)) (+ (exp (/ 1 im)) (exp (/ -1 im)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ -1 im)) into (/ 1 im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 im) (/ 0 (- im))) (* 0 (/ 0 (- im))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 im) (/ 0 (- im))) (* 0 (/ 0 (- im))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (cos (/ -1 re))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 0.5 (cos (/ -1 re))) 0) (+ (* 0 0) (* 0 (+ (exp (/ 1 im)) (exp (/ -1 im)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [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 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 re)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 re) (+ (* (/ -1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 re)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 re)) 0) (+ (* 0 0) (* 0 (+ (exp (/ 1 im)) (exp (/ -1 im)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* (cos (/ -1 re)) (+ (exp (/ 1 im)) (exp (/ -1 im))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ -1 im)) into (/ 1 im) * [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 (- im) into (- im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 im) (/ 0 (- im))) (* 0 (/ 0 (- im))) (* 0 (/ 0 (- im))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 im) (/ 0 (- im))) (* 0 (/ 0 (- im))) (* 0 (/ 0 (- im))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 re)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 0.5 (cos (/ -1 re))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (exp (/ 1 im)) (exp (/ -1 im))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 0.5 (* (cos (/ -1 re)) (+ (exp (/ 1 im)) (exp (/ -1 im))))) into (* 0.5 (* (cos (/ -1 re)) (+ (exp (/ 1 im)) (exp (/ -1 im))))) * * * [misc]progress: tayloring alt 3 of 3 * [misc]approximate: Taking taylor expansion of (* (cos re) (/ 0.5 (exp im))) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (* (cos re) (/ 0.5 (exp im))) in im * [misc]taylor: Taking taylor expansion of (cos re) in im * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]backup-simplify: Simplify (cos re) into (cos re) * [misc]backup-simplify: Simplify (sin re) into (sin re) * [misc]taylor: Taking taylor expansion of (/ 0.5 (exp im)) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [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 (/ 0.5 1) into 0.5 * [misc]taylor: Taking taylor expansion of (* (cos re) (/ 0.5 (exp im))) in re * [misc]taylor: Taking taylor expansion of (cos re) in re * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 0.5 (exp im)) in re * [misc]taylor: Taking taylor expansion of 0.5 in re * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (exp im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (exp im) into (exp im) * [misc]backup-simplify: Simplify (/ 0.5 (exp im)) into (/ 0.5 (exp im)) * [misc]taylor: Taking taylor expansion of (* (cos re) (/ 0.5 (exp im))) in re * [misc]taylor: Taking taylor expansion of (cos re) in re * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 0.5 (exp im)) in re * [misc]taylor: Taking taylor expansion of 0.5 in re * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (exp im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (exp im) into (exp im) * [misc]backup-simplify: Simplify (/ 0.5 (exp im)) into (/ 0.5 (exp im)) * [misc]backup-simplify: Simplify (* 1 (/ 0.5 (exp im))) into (/ 0.5 (exp im)) * [misc]taylor: Taking taylor expansion of (/ 0.5 (exp im)) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [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 (/ 0.5 1) into 0.5 * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]backup-simplify: Simplify (* (exp im) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp im)) (+ (* (/ 0.5 (exp im)) (/ 0 (exp im))))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 0.5 (exp im)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 0.5 (/ 1 1)))) into (- 0.5) * [misc]backup-simplify: Simplify (- 0.5) into (- 0.5) * [misc]backup-simplify: Simplify (* (exp im) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp im)) (+ (* (/ 0.5 (exp im)) (/ 0 (exp im))) (* 0 (/ 0 (exp im))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* (- 1/2) (/ 0.5 (exp im))))) into (- (* 0.25 (/ 1 (exp im)))) * [misc]taylor: Taking taylor expansion of (- (* 0.25 (/ 1 (exp im)))) in im * [misc]taylor: Taking taylor expansion of (* 0.25 (/ 1 (exp im))) in im * [misc]taylor: Taking taylor expansion of 0.25 in im * [misc]backup-simplify: Simplify 0.25 into 0.25 * [misc]taylor: Taking taylor expansion of (/ 1 (exp im)) in im * [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 1 * [misc]backup-simplify: Simplify (* 0.25 1) into 0.25 * [misc]backup-simplify: Simplify (- 0.25) into (- 0.25) * [misc]backup-simplify: Simplify (- 0.25) into (- 0.25) * [misc]backup-simplify: Simplify (+ (* (- 0.25) (sqr (* 1 re))) (+ (* (- 0.5) (* im 1)) 0.5)) into (- 0.5 (+ (* 0.5 im) (* 0.25 (sqr re)))) * [misc]approximate: Taking taylor expansion of (* (cos (/ 1 re)) (/ 0.5 (exp (/ 1 im)))) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 re)) (/ 0.5 (exp (/ 1 im)))) in im * [misc]taylor: Taking taylor expansion of (cos (/ 1 re)) in im * [misc]taylor: Taking taylor expansion of (/ 1 re) in im * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]backup-simplify: Simplify (/ 1 re) into (/ 1 re) * [misc]backup-simplify: Simplify (cos (/ 1 re)) into (cos (/ 1 re)) * [misc]backup-simplify: Simplify (sin (/ 1 re)) into (sin (/ 1 re)) * [misc]taylor: Taking taylor expansion of (/ 0.5 (exp (/ 1 im))) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [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 (/ 0.5 (exp (/ 1 im))) into (/ 0.5 (exp (/ 1 im))) * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 re)) (/ 0.5 (exp (/ 1 im)))) in re * [misc]taylor: Taking taylor expansion of (cos (/ 1 re)) in re * [misc]taylor: Taking taylor expansion of (/ 1 re) in re * [misc]taylor: Taking taylor expansion of re in re * [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 (cos (/ 1 re)) into (cos (/ 1 re)) * [misc]taylor: Taking taylor expansion of (/ 0.5 (exp (/ 1 im))) in re * [misc]taylor: Taking taylor expansion of 0.5 in re * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (exp (/ 1 im)) in re * [misc]taylor: Taking taylor expansion of (/ 1 im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (/ 1 im) into (/ 1 im) * [misc]backup-simplify: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) * [misc]backup-simplify: Simplify (/ 0.5 (exp (/ 1 im))) into (/ 0.5 (exp (/ 1 im))) * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 re)) (/ 0.5 (exp (/ 1 im)))) in re * [misc]taylor: Taking taylor expansion of (cos (/ 1 re)) in re * [misc]taylor: Taking taylor expansion of (/ 1 re) in re * [misc]taylor: Taking taylor expansion of re in re * [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 (cos (/ 1 re)) into (cos (/ 1 re)) * [misc]taylor: Taking taylor expansion of (/ 0.5 (exp (/ 1 im))) in re * [misc]taylor: Taking taylor expansion of 0.5 in re * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (exp (/ 1 im)) in re * [misc]taylor: Taking taylor expansion of (/ 1 im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (/ 1 im) into (/ 1 im) * [misc]backup-simplify: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) * [misc]backup-simplify: Simplify (/ 0.5 (exp (/ 1 im))) into (/ 0.5 (exp (/ 1 im))) * [misc]backup-simplify: Simplify (* (cos (/ 1 re)) (/ 0.5 (exp (/ 1 im)))) into (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) * [misc]taylor: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in im * [misc]taylor: Taking taylor expansion of (cos (/ 1 re)) in im * [misc]taylor: Taking taylor expansion of (/ 1 re) in im * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]backup-simplify: Simplify (/ 1 re) into (/ 1 re) * [misc]backup-simplify: Simplify (cos (/ 1 re)) into (cos (/ 1 re)) * [misc]backup-simplify: Simplify (sin (/ 1 re)) into (sin (/ 1 re)) * [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 (* (cos (/ 1 re)) 1) into (cos (/ 1 re)) * [misc]backup-simplify: Simplify (* (sin (/ 1 re)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1 re)) 0) into (cos (/ 1 re)) * [misc]backup-simplify: Simplify (/ (cos (/ 1 re)) (exp (/ 1 im))) into (/ (cos (/ 1 re)) (exp (/ 1 im))) * [misc]backup-simplify: Simplify (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) into (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) * [misc]backup-simplify: Simplify (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) into (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ 1 im))) (+ (* (/ 0.5 (exp (/ 1 im))) (/ 0 (exp (/ 1 im)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 re)) 0) (* 0 (/ 0.5 (exp (/ 1 im))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [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 (+ (* (cos (/ 1 re)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 re)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ 1 im))) (+ (* (/ (cos (/ 1 re)) (exp (/ 1 im))) (/ 0 (exp (/ 1 im)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (* 0 (/ (cos (/ 1 re)) (exp (/ 1 im))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ 1 im))) (+ (* (/ 0.5 (exp (/ 1 im))) (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 re)) 0) (+ (* 0 0) (* 0 (/ 0.5 (exp (/ 1 im)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [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 (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 re)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 re)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ 1 im))) (+ (* (/ (cos (/ 1 re)) (exp (/ 1 im))) (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ (cos (/ 1 re)) (exp (/ 1 im)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)) (* 0 (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ 1 im))) (+ (* (/ 0.5 (exp (/ 1 im))) (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 re)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 0.5 (exp (/ 1 im))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) into (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) * [misc]approximate: Taking taylor expansion of (* (cos (/ 1 (- re))) (/ 0.5 (exp (/ 1 (- im))))) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 (- re))) (/ 0.5 (exp (/ 1 (- im))))) in im * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- re))) in im * [misc]taylor: Taking taylor expansion of (/ 1 (- re)) in im * [misc]taylor: Taking taylor expansion of (- re) in im * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]backup-simplify: Simplify (- re) into (- re) * [misc]backup-simplify: Simplify (- re) into (- re) * [misc]backup-simplify: Simplify (/ 1 (- re)) into (/ -1 re) * [misc]backup-simplify: Simplify (cos (/ -1 re)) into (cos (/ -1 re)) * [misc]backup-simplify: Simplify (sin (/ -1 re)) into (sin (/ -1 re)) * [misc]taylor: Taking taylor expansion of (/ 0.5 (exp (/ 1 (- im)))) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [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 (/ 0.5 (exp (/ -1 im))) into (/ 0.5 (exp (/ -1 im))) * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 (- re))) (/ 0.5 (exp (/ 1 (- im))))) in re * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- re))) in re * [misc]taylor: Taking taylor expansion of (/ 1 (- re)) in re * [misc]taylor: Taking taylor expansion of (- re) in re * [misc]taylor: Taking taylor expansion of re in re * [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 (cos (/ 1 (- re))) into (cos (/ -1 re)) * [misc]taylor: Taking taylor expansion of (/ 0.5 (exp (/ 1 (- im)))) in re * [misc]taylor: Taking taylor expansion of 0.5 in re * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- im))) in re * [misc]taylor: Taking taylor expansion of (/ 1 (- im)) in re * [misc]taylor: Taking taylor expansion of (- im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (/ 1 (- im)) into (/ -1 im) * [misc]backup-simplify: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) * [misc]backup-simplify: Simplify (/ 0.5 (exp (/ -1 im))) into (/ 0.5 (exp (/ -1 im))) * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 (- re))) (/ 0.5 (exp (/ 1 (- im))))) in re * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- re))) in re * [misc]taylor: Taking taylor expansion of (/ 1 (- re)) in re * [misc]taylor: Taking taylor expansion of (- re) in re * [misc]taylor: Taking taylor expansion of re in re * [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 (cos (/ 1 (- re))) into (cos (/ -1 re)) * [misc]taylor: Taking taylor expansion of (/ 0.5 (exp (/ 1 (- im)))) in re * [misc]taylor: Taking taylor expansion of 0.5 in re * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- im))) in re * [misc]taylor: Taking taylor expansion of (/ 1 (- im)) in re * [misc]taylor: Taking taylor expansion of (- im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (/ 1 (- im)) into (/ -1 im) * [misc]backup-simplify: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) * [misc]backup-simplify: Simplify (/ 0.5 (exp (/ -1 im))) into (/ 0.5 (exp (/ -1 im))) * [misc]backup-simplify: Simplify (* (cos (/ -1 re)) (/ 0.5 (exp (/ -1 im)))) into (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) * [misc]taylor: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in im * [misc]taylor: Taking taylor expansion of (cos (/ -1 re)) in im * [misc]taylor: Taking taylor expansion of (/ -1 re) in im * [misc]taylor: Taking taylor expansion of -1 in im * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]backup-simplify: Simplify (/ -1 re) into (/ -1 re) * [misc]backup-simplify: Simplify (cos (/ -1 re)) into (cos (/ -1 re)) * [misc]backup-simplify: Simplify (sin (/ -1 re)) into (sin (/ -1 re)) * [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 in im * [misc]backup-simplify: Simplify -1 into -1 * [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 (* (cos (/ -1 re)) 1) into (cos (/ -1 re)) * [misc]backup-simplify: Simplify (* (sin (/ -1 re)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1 re)) 0) into (cos (/ -1 re)) * [misc]backup-simplify: Simplify (/ (cos (/ -1 re)) (exp (/ -1 im))) into (/ (cos (/ -1 re)) (exp (/ -1 im))) * [misc]backup-simplify: Simplify (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) into (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) * [misc]backup-simplify: Simplify (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) into (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ -1 im))) (+ (* (/ 0.5 (exp (/ -1 im))) (/ 0 (exp (/ -1 im)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 re)) 0) (* 0 (/ 0.5 (exp (/ -1 im))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [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 (+ (* (cos (/ -1 re)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 re) (+ (* (/ -1 re) (/ 0 re)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 re)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ -1 im))) (+ (* (/ (cos (/ -1 re)) (exp (/ -1 im))) (/ 0 (exp (/ -1 im)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (* 0 (/ (cos (/ -1 re)) (exp (/ -1 im))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 im) (/ 0 (- im))) (* 0 (/ 0 (- im))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ -1 im))) (+ (* (/ 0.5 (exp (/ -1 im))) (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 re)) 0) (+ (* 0 0) (* 0 (/ 0.5 (exp (/ -1 im)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [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 (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 re)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 re) (+ (* (/ -1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 re)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ -1 im))) (+ (* (/ (cos (/ -1 re)) (exp (/ -1 im))) (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ (cos (/ -1 re)) (exp (/ -1 im)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 im) (/ 0 (- im))) (* 0 (/ 0 (- im))) (* 0 (/ 0 (- im))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ -1 im))) (+ (* (/ 0.5 (exp (/ -1 im))) (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 re)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 0.5 (exp (/ -1 im))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) into (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) * [misc]approximate: Taking taylor expansion of (/ 0.5 (exp im)) in (im) around 0 * [misc]taylor: Taking taylor expansion of (/ 0.5 (exp im)) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [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 (/ 0.5 1) into 0.5 * [misc]taylor: Taking taylor expansion of (/ 0.5 (exp im)) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [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 (/ 0.5 1) into 0.5 * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 0.5 (/ 1 1)))) into (- 0.5) * [misc]backup-simplify: Simplify (- 0.5) into (- 0.5) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 0.5 (/ 1/2 1)) (* (- 0.5) (/ 1 1)))) into 0.25 * [misc]backup-simplify: Simplify 0.25 into 0.25 * [misc]backup-simplify: Simplify (+ (* 0.25 (sqr im)) (+ (* (- 0.5) im) 0.5)) into (- (+ (* 0.25 (sqr im)) 0.5) (* 0.5 im)) * [misc]approximate: Taking taylor expansion of (/ 0.5 (exp (/ 1 im))) in (im) around 0 * [misc]taylor: Taking taylor expansion of (/ 0.5 (exp (/ 1 im))) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [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 (/ 0.5 (exp (/ 1 im))) into (/ 0.5 (exp (/ 1 im))) * [misc]taylor: Taking taylor expansion of (/ 0.5 (exp (/ 1 im))) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [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 (/ 0.5 (exp (/ 1 im))) into (/ 0.5 (exp (/ 1 im))) * [misc]backup-simplify: Simplify (/ 0.5 (exp (/ 1 im))) into (/ 0.5 (exp (/ 1 im))) * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ 1 im))) (+ (* (/ 0.5 (exp (/ 1 im))) (/ 0 (exp (/ 1 im)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ 1 im))) (+ (* (/ 0.5 (exp (/ 1 im))) (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ 1 im))) (+ (* (/ 0.5 (exp (/ 1 im))) (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ 1 im))) (+ (* (/ 0.5 (exp (/ 1 im))) (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ 1 im))) (+ (* (/ 0.5 (exp (/ 1 im))) (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ 1 im))) (+ (* (/ 0.5 (exp (/ 1 im))) (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 0.5 (exp (/ 1 im))) into (/ 0.5 (exp (/ 1 im))) * [misc]approximate: Taking taylor expansion of (/ 0.5 (exp (/ 1 (- im)))) in (im) around 0 * [misc]taylor: Taking taylor expansion of (/ 0.5 (exp (/ 1 (- im)))) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [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 (/ 0.5 (exp (/ -1 im))) into (/ 0.5 (exp (/ -1 im))) * [misc]taylor: Taking taylor expansion of (/ 0.5 (exp (/ 1 (- im)))) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [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 (/ 0.5 (exp (/ -1 im))) into (/ 0.5 (exp (/ -1 im))) * [misc]backup-simplify: Simplify (/ 0.5 (exp (/ -1 im))) into (/ 0.5 (exp (/ -1 im))) * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ -1 im))) (+ (* (/ 0.5 (exp (/ -1 im))) (/ 0 (exp (/ -1 im)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ -1 im))) (+ (* (/ 0.5 (exp (/ -1 im))) (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ -1 im))) (+ (* (/ 0.5 (exp (/ -1 im))) (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ -1 im))) (+ (* (/ 0.5 (exp (/ -1 im))) (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ -1 im))) (+ (* (/ 0.5 (exp (/ -1 im))) (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ -1 im))) (+ (* (/ 0.5 (exp (/ -1 im))) (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 0.5 (exp (/ -1 im))) into (/ 0.5 (exp (/ -1 im))) * [misc]approximate: Taking taylor expansion of (+ (* (cos re) (/ 0.5 (exp im))) (* (exp im) (* 0.5 (cos re)))) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (+ (* (cos re) (/ 0.5 (exp im))) (* (exp im) (* 0.5 (cos re)))) in im * [misc]taylor: Taking taylor expansion of (* (cos re) (/ 0.5 (exp im))) in im * [misc]taylor: Taking taylor expansion of (cos re) in im * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]backup-simplify: Simplify (cos re) into (cos re) * [misc]backup-simplify: Simplify (sin re) into (sin re) * [misc]taylor: Taking taylor expansion of (/ 0.5 (exp im)) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [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 (/ 0.5 1) into 0.5 * [misc]taylor: Taking taylor expansion of (* (exp im) (* 0.5 (cos re))) in im * [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 (* 0.5 (cos re)) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (cos re) in im * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]backup-simplify: Simplify (cos re) into (cos re) * [misc]backup-simplify: Simplify (sin re) into (sin re) * [misc]taylor: Taking taylor expansion of (+ (* (cos re) (/ 0.5 (exp im))) (* (exp im) (* 0.5 (cos re)))) in re * [misc]taylor: Taking taylor expansion of (* (cos re) (/ 0.5 (exp im))) in re * [misc]taylor: Taking taylor expansion of (cos re) in re * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 0.5 (exp im)) in re * [misc]taylor: Taking taylor expansion of 0.5 in re * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (exp im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (exp im) into (exp im) * [misc]backup-simplify: Simplify (/ 0.5 (exp im)) into (/ 0.5 (exp im)) * [misc]taylor: Taking taylor expansion of (* (exp im) (* 0.5 (cos re))) in re * [misc]taylor: Taking taylor expansion of (exp im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (exp im) into (exp im) * [misc]taylor: Taking taylor expansion of (* 0.5 (cos re)) in re * [misc]taylor: Taking taylor expansion of 0.5 in re * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (cos re) in re * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* (cos re) (/ 0.5 (exp im))) (* (exp im) (* 0.5 (cos re)))) in re * [misc]taylor: Taking taylor expansion of (* (cos re) (/ 0.5 (exp im))) in re * [misc]taylor: Taking taylor expansion of (cos re) in re * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 0.5 (exp im)) in re * [misc]taylor: Taking taylor expansion of 0.5 in re * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (exp im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (exp im) into (exp im) * [misc]backup-simplify: Simplify (/ 0.5 (exp im)) into (/ 0.5 (exp im)) * [misc]taylor: Taking taylor expansion of (* (exp im) (* 0.5 (cos re))) in re * [misc]taylor: Taking taylor expansion of (exp im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (exp im) into (exp im) * [misc]taylor: Taking taylor expansion of (* 0.5 (cos re)) in re * [misc]taylor: Taking taylor expansion of 0.5 in re * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (cos re) in re * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 (/ 0.5 (exp im))) into (/ 0.5 (exp im)) * [misc]backup-simplify: Simplify (* 0.5 1) into 0.5 * [misc]backup-simplify: Simplify (* (exp im) 0.5) into (* 0.5 (exp im)) * [misc]backup-simplify: Simplify (+ (/ 0.5 (exp im)) (* 0.5 (exp im))) into (+ (* 0.5 (exp im)) (* 0.5 (/ 1 (exp im)))) * [misc]taylor: Taking taylor expansion of (+ (* 0.5 (exp im)) (* 0.5 (/ 1 (exp im)))) in im * [misc]taylor: Taking taylor expansion of (* 0.5 (exp im)) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [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 (* 0.5 (/ 1 (exp im))) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (/ 1 (exp im)) in im * [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 1 * [misc]backup-simplify: Simplify (* 0.5 1) into 0.5 * [misc]backup-simplify: Simplify (* 0.5 1) into 0.5 * [misc]backup-simplify: Simplify (+ 0.5 0.5) into 1.0 * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* (exp im) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp im)) (+ (* (/ 0.5 (exp im)) (/ 0 (exp im))))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 0.5 (exp im)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (* (exp im) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp im) 0) (* 0 0.5)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (+ (* 0.5 1) (* 0 1)) into 0.5 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 1 1)))) into -1 * [misc]backup-simplify: Simplify (+ (* 0.5 -1) (* 0 1)) into (- 0.5) * [misc]backup-simplify: Simplify (+ 0.5 (- 0.5)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp im) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp im)) (+ (* (/ 0.5 (exp im)) (/ 0 (exp im))) (* 0 (/ 0 (exp im))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* (- 1/2) (/ 0.5 (exp im))))) into (- (* 0.25 (/ 1 (exp im)))) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (+ (* 0.5 (- 1/2)) (+ (* 0 0) (* 0 1))) into (- 0.25) * [misc]backup-simplify: Simplify (* (exp im) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp im) (- 0.25)) (+ (* 0 0) (* 0 0.5))) into (- (* 0.25 (exp im))) * [misc]backup-simplify: Simplify (+ (- (* 0.25 (/ 1 (exp im)))) (- (* 0.25 (exp im)))) into (- (+ (* 0.25 (exp im)) (* 0.25 (/ 1 (exp im))))) * [misc]taylor: Taking taylor expansion of (- (+ (* 0.25 (exp im)) (* 0.25 (/ 1 (exp im))))) in im * [misc]taylor: Taking taylor expansion of (+ (* 0.25 (exp im)) (* 0.25 (/ 1 (exp im)))) in im * [misc]taylor: Taking taylor expansion of (* 0.25 (exp im)) in im * [misc]taylor: Taking taylor expansion of 0.25 in im * [misc]backup-simplify: Simplify 0.25 into 0.25 * [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 (* 0.25 (/ 1 (exp im))) in im * [misc]taylor: Taking taylor expansion of 0.25 in im * [misc]backup-simplify: Simplify 0.25 into 0.25 * [misc]taylor: Taking taylor expansion of (/ 1 (exp im)) in im * [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 1 * [misc]backup-simplify: Simplify (* 0.25 1) into 0.25 * [misc]backup-simplify: Simplify (* 0.25 1) into 0.25 * [misc]backup-simplify: Simplify (+ 0.25 0.25) into 0.5 * [misc]backup-simplify: Simplify (- 0.5) into (- 0.5) * [misc]backup-simplify: Simplify (- 0.5) into (- 0.5) * [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 (+ (* 0.5 1/2) (+ (* 0 1) (* 0 1))) into 0.25 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 1/2 1)) (* -1 (/ 1 1)))) into 1/2 * [misc]backup-simplify: Simplify (+ (* 0.5 1/2) (+ (* 0 -1) (* 0 1))) into 0.25 * [misc]backup-simplify: Simplify (+ 0.25 0.25) into 0.5 * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]backup-simplify: Simplify (+ (* 0.5 (sqr (* im 1))) (+ (* (- 0.5) (sqr (* 1 re))) 1.0)) into (- (+ (* 0.5 (sqr im)) 1.0) (* 0.5 (sqr re))) * [misc]approximate: Taking taylor expansion of (+ (* (cos (/ 1 re)) (/ 0.5 (exp (/ 1 im)))) (* (exp (/ 1 im)) (* 0.5 (cos (/ 1 re))))) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (+ (* (cos (/ 1 re)) (/ 0.5 (exp (/ 1 im)))) (* (exp (/ 1 im)) (* 0.5 (cos (/ 1 re))))) in im * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 re)) (/ 0.5 (exp (/ 1 im)))) in im * [misc]taylor: Taking taylor expansion of (cos (/ 1 re)) in im * [misc]taylor: Taking taylor expansion of (/ 1 re) in im * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]backup-simplify: Simplify (/ 1 re) into (/ 1 re) * [misc]backup-simplify: Simplify (cos (/ 1 re)) into (cos (/ 1 re)) * [misc]backup-simplify: Simplify (sin (/ 1 re)) into (sin (/ 1 re)) * [misc]taylor: Taking taylor expansion of (/ 0.5 (exp (/ 1 im))) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [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 (/ 0.5 (exp (/ 1 im))) into (/ 0.5 (exp (/ 1 im))) * [misc]taylor: Taking taylor expansion of (* (exp (/ 1 im)) (* 0.5 (cos (/ 1 re)))) 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 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 (* 0.5 (cos (/ 1 re))) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (cos (/ 1 re)) in im * [misc]taylor: Taking taylor expansion of (/ 1 re) in im * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]backup-simplify: Simplify (/ 1 re) into (/ 1 re) * [misc]backup-simplify: Simplify (cos (/ 1 re)) into (cos (/ 1 re)) * [misc]backup-simplify: Simplify (sin (/ 1 re)) into (sin (/ 1 re)) * [misc]taylor: Taking taylor expansion of (+ (* (cos (/ 1 re)) (/ 0.5 (exp (/ 1 im)))) (* (exp (/ 1 im)) (* 0.5 (cos (/ 1 re))))) in re * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 re)) (/ 0.5 (exp (/ 1 im)))) in re * [misc]taylor: Taking taylor expansion of (cos (/ 1 re)) in re * [misc]taylor: Taking taylor expansion of (/ 1 re) in re * [misc]taylor: Taking taylor expansion of re in re * [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 (cos (/ 1 re)) into (cos (/ 1 re)) * [misc]taylor: Taking taylor expansion of (/ 0.5 (exp (/ 1 im))) in re * [misc]taylor: Taking taylor expansion of 0.5 in re * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (exp (/ 1 im)) in re * [misc]taylor: Taking taylor expansion of (/ 1 im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (/ 1 im) into (/ 1 im) * [misc]backup-simplify: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) * [misc]backup-simplify: Simplify (/ 0.5 (exp (/ 1 im))) into (/ 0.5 (exp (/ 1 im))) * [misc]taylor: Taking taylor expansion of (* (exp (/ 1 im)) (* 0.5 (cos (/ 1 re)))) in re * [misc]taylor: Taking taylor expansion of (exp (/ 1 im)) in re * [misc]taylor: Taking taylor expansion of (/ 1 im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (/ 1 im) into (/ 1 im) * [misc]backup-simplify: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) * [misc]taylor: Taking taylor expansion of (* 0.5 (cos (/ 1 re))) in re * [misc]taylor: Taking taylor expansion of 0.5 in re * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (cos (/ 1 re)) in re * [misc]taylor: Taking taylor expansion of (/ 1 re) in re * [misc]taylor: Taking taylor expansion of re in re * [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 (cos (/ 1 re)) into (cos (/ 1 re)) * [misc]taylor: Taking taylor expansion of (+ (* (cos (/ 1 re)) (/ 0.5 (exp (/ 1 im)))) (* (exp (/ 1 im)) (* 0.5 (cos (/ 1 re))))) in re * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 re)) (/ 0.5 (exp (/ 1 im)))) in re * [misc]taylor: Taking taylor expansion of (cos (/ 1 re)) in re * [misc]taylor: Taking taylor expansion of (/ 1 re) in re * [misc]taylor: Taking taylor expansion of re in re * [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 (cos (/ 1 re)) into (cos (/ 1 re)) * [misc]taylor: Taking taylor expansion of (/ 0.5 (exp (/ 1 im))) in re * [misc]taylor: Taking taylor expansion of 0.5 in re * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (exp (/ 1 im)) in re * [misc]taylor: Taking taylor expansion of (/ 1 im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (/ 1 im) into (/ 1 im) * [misc]backup-simplify: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) * [misc]backup-simplify: Simplify (/ 0.5 (exp (/ 1 im))) into (/ 0.5 (exp (/ 1 im))) * [misc]taylor: Taking taylor expansion of (* (exp (/ 1 im)) (* 0.5 (cos (/ 1 re)))) in re * [misc]taylor: Taking taylor expansion of (exp (/ 1 im)) in re * [misc]taylor: Taking taylor expansion of (/ 1 im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (/ 1 im) into (/ 1 im) * [misc]backup-simplify: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) * [misc]taylor: Taking taylor expansion of (* 0.5 (cos (/ 1 re))) in re * [misc]taylor: Taking taylor expansion of 0.5 in re * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (cos (/ 1 re)) in re * [misc]taylor: Taking taylor expansion of (/ 1 re) in re * [misc]taylor: Taking taylor expansion of re in re * [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 (cos (/ 1 re)) into (cos (/ 1 re)) * [misc]backup-simplify: Simplify (* (cos (/ 1 re)) (/ 0.5 (exp (/ 1 im)))) into (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) * [misc]backup-simplify: Simplify (* 0.5 (cos (/ 1 re))) into (* 0.5 (cos (/ 1 re))) * [misc]backup-simplify: Simplify (* (exp (/ 1 im)) (* 0.5 (cos (/ 1 re)))) into (* 0.5 (* (exp (/ 1 im)) (cos (/ 1 re)))) * [misc]backup-simplify: Simplify (+ (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) (* 0.5 (* (exp (/ 1 im)) (cos (/ 1 re))))) into (+ (* 0.5 (* (exp (/ 1 im)) (cos (/ 1 re)))) (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im))))) * [misc]taylor: Taking taylor expansion of (+ (* 0.5 (* (exp (/ 1 im)) (cos (/ 1 re)))) (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im))))) in im * [misc]taylor: Taking taylor expansion of (* 0.5 (* (exp (/ 1 im)) (cos (/ 1 re)))) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (* (exp (/ 1 im)) (cos (/ 1 re))) 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 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 (cos (/ 1 re)) in im * [misc]taylor: Taking taylor expansion of (/ 1 re) in im * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]backup-simplify: Simplify (/ 1 re) into (/ 1 re) * [misc]backup-simplify: Simplify (cos (/ 1 re)) into (cos (/ 1 re)) * [misc]backup-simplify: Simplify (sin (/ 1 re)) into (sin (/ 1 re)) * [misc]taylor: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in im * [misc]taylor: Taking taylor expansion of (cos (/ 1 re)) in im * [misc]taylor: Taking taylor expansion of (/ 1 re) in im * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]backup-simplify: Simplify (/ 1 re) into (/ 1 re) * [misc]backup-simplify: Simplify (cos (/ 1 re)) into (cos (/ 1 re)) * [misc]backup-simplify: Simplify (sin (/ 1 re)) into (sin (/ 1 re)) * [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 (* (cos (/ 1 re)) 1) into (cos (/ 1 re)) * [misc]backup-simplify: Simplify (* (sin (/ 1 re)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1 re)) 0) into (cos (/ 1 re)) * [misc]backup-simplify: Simplify (/ (cos (/ 1 re)) (exp (/ 1 im))) into (/ (cos (/ 1 re)) (exp (/ 1 im))) * [misc]backup-simplify: Simplify (* (cos (/ 1 re)) 1) into (cos (/ 1 re)) * [misc]backup-simplify: Simplify (* (sin (/ 1 re)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1 re)) 0) into (cos (/ 1 re)) * [misc]backup-simplify: Simplify (* (exp (/ 1 im)) (cos (/ 1 re))) into (* (exp (/ 1 im)) (cos (/ 1 re))) * [misc]backup-simplify: Simplify (* 0.5 (* (exp (/ 1 im)) (cos (/ 1 re)))) into (* 0.5 (* (exp (/ 1 im)) (cos (/ 1 re)))) * [misc]backup-simplify: Simplify (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) into (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) * [misc]backup-simplify: Simplify (+ (* 0.5 (* (exp (/ 1 im)) (cos (/ 1 re)))) (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im))))) into (+ (* 0.5 (* (exp (/ 1 im)) (cos (/ 1 re)))) (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im))))) * [misc]backup-simplify: Simplify (+ (* 0.5 (* (exp (/ 1 im)) (cos (/ 1 re)))) (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im))))) into (+ (* 0.5 (* (exp (/ 1 im)) (cos (/ 1 re)))) (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im))))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ 1 im))) (+ (* (/ 0.5 (exp (/ 1 im))) (/ 0 (exp (/ 1 im)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 re)) 0) (* 0 (/ 0.5 (exp (/ 1 im))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (* 0 (cos (/ 1 re)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (/ 1 im)) 0) (* 0 (* 0.5 (cos (/ 1 re))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [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 (+ (* (cos (/ 1 re)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 re)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (/ 1 im)) 0) (* 0 (cos (/ 1 re)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (* 0 (* (exp (/ 1 im)) (cos (/ 1 re))))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 re)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 re)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ 1 im))) (+ (* (/ (cos (/ 1 re)) (exp (/ 1 im))) (/ 0 (exp (/ 1 im)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (* 0 (/ (cos (/ 1 re)) (exp (/ 1 im))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ 1 im))) (+ (* (/ 0.5 (exp (/ 1 im))) (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 re)) 0) (+ (* 0 0) (* 0 (/ 0.5 (exp (/ 1 im)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (cos (/ 1 re))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (/ 1 im)) 0) (+ (* 0 0) (* 0 (* 0.5 (cos (/ 1 re)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [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 (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 re)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 re)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (/ 1 im)) 0) (+ (* 0 0) (* 0 (cos (/ 1 re))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* (exp (/ 1 im)) (cos (/ 1 re)))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 re)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 re)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ 1 im))) (+ (* (/ (cos (/ 1 re)) (exp (/ 1 im))) (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ (cos (/ 1 re)) (exp (/ 1 im)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)) (* 0 (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ 1 im))) (+ (* (/ 0.5 (exp (/ 1 im))) (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 re)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 0.5 (exp (/ 1 im))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 re)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)) (* 0 (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (/ 1 im)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 0.5 (cos (/ 1 re))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 (* (exp (/ 1 im)) (cos (/ 1 re)))) (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im))))) into (+ (* 0.5 (* (exp (/ 1 im)) (cos (/ 1 re)))) (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im))))) * [misc]approximate: Taking taylor expansion of (+ (* (cos (/ 1 (- re))) (/ 0.5 (exp (/ 1 (- im))))) (* (exp (/ 1 (- im))) (* 0.5 (cos (/ 1 (- re)))))) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (+ (* (cos (/ 1 (- re))) (/ 0.5 (exp (/ 1 (- im))))) (* (exp (/ 1 (- im))) (* 0.5 (cos (/ 1 (- re)))))) in im * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 (- re))) (/ 0.5 (exp (/ 1 (- im))))) in im * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- re))) in im * [misc]taylor: Taking taylor expansion of (/ 1 (- re)) in im * [misc]taylor: Taking taylor expansion of (- re) in im * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]backup-simplify: Simplify (- re) into (- re) * [misc]backup-simplify: Simplify (- re) into (- re) * [misc]backup-simplify: Simplify (/ 1 (- re)) into (/ -1 re) * [misc]backup-simplify: Simplify (cos (/ -1 re)) into (cos (/ -1 re)) * [misc]backup-simplify: Simplify (sin (/ -1 re)) into (sin (/ -1 re)) * [misc]taylor: Taking taylor expansion of (/ 0.5 (exp (/ 1 (- im)))) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [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 (/ 0.5 (exp (/ -1 im))) into (/ 0.5 (exp (/ -1 im))) * [misc]taylor: Taking taylor expansion of (* (exp (/ 1 (- im))) (* 0.5 (cos (/ 1 (- re))))) 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 (- 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 (* 0.5 (cos (/ 1 (- re)))) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- re))) in im * [misc]taylor: Taking taylor expansion of (/ 1 (- re)) in im * [misc]taylor: Taking taylor expansion of (- re) in im * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]backup-simplify: Simplify (- re) into (- re) * [misc]backup-simplify: Simplify (- re) into (- re) * [misc]backup-simplify: Simplify (/ 1 (- re)) into (/ -1 re) * [misc]backup-simplify: Simplify (cos (/ -1 re)) into (cos (/ -1 re)) * [misc]backup-simplify: Simplify (sin (/ -1 re)) into (sin (/ -1 re)) * [misc]taylor: Taking taylor expansion of (+ (* (cos (/ 1 (- re))) (/ 0.5 (exp (/ 1 (- im))))) (* (exp (/ 1 (- im))) (* 0.5 (cos (/ 1 (- re)))))) in re * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 (- re))) (/ 0.5 (exp (/ 1 (- im))))) in re * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- re))) in re * [misc]taylor: Taking taylor expansion of (/ 1 (- re)) in re * [misc]taylor: Taking taylor expansion of (- re) in re * [misc]taylor: Taking taylor expansion of re in re * [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 (cos (/ 1 (- re))) into (cos (/ -1 re)) * [misc]taylor: Taking taylor expansion of (/ 0.5 (exp (/ 1 (- im)))) in re * [misc]taylor: Taking taylor expansion of 0.5 in re * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- im))) in re * [misc]taylor: Taking taylor expansion of (/ 1 (- im)) in re * [misc]taylor: Taking taylor expansion of (- im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (/ 1 (- im)) into (/ -1 im) * [misc]backup-simplify: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) * [misc]backup-simplify: Simplify (/ 0.5 (exp (/ -1 im))) into (/ 0.5 (exp (/ -1 im))) * [misc]taylor: Taking taylor expansion of (* (exp (/ 1 (- im))) (* 0.5 (cos (/ 1 (- re))))) in re * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- im))) in re * [misc]taylor: Taking taylor expansion of (/ 1 (- im)) in re * [misc]taylor: Taking taylor expansion of (- im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (/ 1 (- im)) into (/ -1 im) * [misc]backup-simplify: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) * [misc]taylor: Taking taylor expansion of (* 0.5 (cos (/ 1 (- re)))) in re * [misc]taylor: Taking taylor expansion of 0.5 in re * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- re))) in re * [misc]taylor: Taking taylor expansion of (/ 1 (- re)) in re * [misc]taylor: Taking taylor expansion of (- re) in re * [misc]taylor: Taking taylor expansion of re in re * [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 (cos (/ 1 (- re))) into (cos (/ -1 re)) * [misc]taylor: Taking taylor expansion of (+ (* (cos (/ 1 (- re))) (/ 0.5 (exp (/ 1 (- im))))) (* (exp (/ 1 (- im))) (* 0.5 (cos (/ 1 (- re)))))) in re * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 (- re))) (/ 0.5 (exp (/ 1 (- im))))) in re * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- re))) in re * [misc]taylor: Taking taylor expansion of (/ 1 (- re)) in re * [misc]taylor: Taking taylor expansion of (- re) in re * [misc]taylor: Taking taylor expansion of re in re * [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 (cos (/ 1 (- re))) into (cos (/ -1 re)) * [misc]taylor: Taking taylor expansion of (/ 0.5 (exp (/ 1 (- im)))) in re * [misc]taylor: Taking taylor expansion of 0.5 in re * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- im))) in re * [misc]taylor: Taking taylor expansion of (/ 1 (- im)) in re * [misc]taylor: Taking taylor expansion of (- im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (/ 1 (- im)) into (/ -1 im) * [misc]backup-simplify: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) * [misc]backup-simplify: Simplify (/ 0.5 (exp (/ -1 im))) into (/ 0.5 (exp (/ -1 im))) * [misc]taylor: Taking taylor expansion of (* (exp (/ 1 (- im))) (* 0.5 (cos (/ 1 (- re))))) in re * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- im))) in re * [misc]taylor: Taking taylor expansion of (/ 1 (- im)) in re * [misc]taylor: Taking taylor expansion of (- im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (/ 1 (- im)) into (/ -1 im) * [misc]backup-simplify: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) * [misc]taylor: Taking taylor expansion of (* 0.5 (cos (/ 1 (- re)))) in re * [misc]taylor: Taking taylor expansion of 0.5 in re * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- re))) in re * [misc]taylor: Taking taylor expansion of (/ 1 (- re)) in re * [misc]taylor: Taking taylor expansion of (- re) in re * [misc]taylor: Taking taylor expansion of re in re * [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 (cos (/ 1 (- re))) into (cos (/ -1 re)) * [misc]backup-simplify: Simplify (* (cos (/ -1 re)) (/ 0.5 (exp (/ -1 im)))) into (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) * [misc]backup-simplify: Simplify (* 0.5 (cos (/ -1 re))) into (* 0.5 (cos (/ -1 re))) * [misc]backup-simplify: Simplify (* (exp (/ -1 im)) (* 0.5 (cos (/ -1 re)))) into (* 0.5 (* (cos (/ -1 re)) (exp (/ -1 im)))) * [misc]backup-simplify: Simplify (+ (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) (* 0.5 (* (cos (/ -1 re)) (exp (/ -1 im))))) into (+ (* 0.5 (* (cos (/ -1 re)) (exp (/ -1 im)))) (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im))))) * [misc]taylor: Taking taylor expansion of (+ (* 0.5 (* (cos (/ -1 re)) (exp (/ -1 im)))) (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im))))) in im * [misc]taylor: Taking taylor expansion of (* 0.5 (* (cos (/ -1 re)) (exp (/ -1 im)))) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (* (cos (/ -1 re)) (exp (/ -1 im))) in im * [misc]taylor: Taking taylor expansion of (cos (/ -1 re)) in im * [misc]taylor: Taking taylor expansion of (/ -1 re) in im * [misc]taylor: Taking taylor expansion of -1 in im * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]backup-simplify: Simplify (/ -1 re) into (/ -1 re) * [misc]backup-simplify: Simplify (cos (/ -1 re)) into (cos (/ -1 re)) * [misc]backup-simplify: Simplify (sin (/ -1 re)) into (sin (/ -1 re)) * [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 in im * [misc]backup-simplify: Simplify -1 into -1 * [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 (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in im * [misc]taylor: Taking taylor expansion of (cos (/ -1 re)) in im * [misc]taylor: Taking taylor expansion of (/ -1 re) in im * [misc]taylor: Taking taylor expansion of -1 in im * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]backup-simplify: Simplify (/ -1 re) into (/ -1 re) * [misc]backup-simplify: Simplify (cos (/ -1 re)) into (cos (/ -1 re)) * [misc]backup-simplify: Simplify (sin (/ -1 re)) into (sin (/ -1 re)) * [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 in im * [misc]backup-simplify: Simplify -1 into -1 * [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 (* (cos (/ -1 re)) 1) into (cos (/ -1 re)) * [misc]backup-simplify: Simplify (* (sin (/ -1 re)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1 re)) 0) into (cos (/ -1 re)) * [misc]backup-simplify: Simplify (/ (cos (/ -1 re)) (exp (/ -1 im))) into (/ (cos (/ -1 re)) (exp (/ -1 im))) * [misc]backup-simplify: Simplify (* (cos (/ -1 re)) 1) into (cos (/ -1 re)) * [misc]backup-simplify: Simplify (* (sin (/ -1 re)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1 re)) 0) into (cos (/ -1 re)) * [misc]backup-simplify: Simplify (* (cos (/ -1 re)) (exp (/ -1 im))) into (* (cos (/ -1 re)) (exp (/ -1 im))) * [misc]backup-simplify: Simplify (* 0.5 (* (cos (/ -1 re)) (exp (/ -1 im)))) into (* 0.5 (* (cos (/ -1 re)) (exp (/ -1 im)))) * [misc]backup-simplify: Simplify (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) into (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) * [misc]backup-simplify: Simplify (+ (* 0.5 (* (cos (/ -1 re)) (exp (/ -1 im)))) (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im))))) into (+ (* 0.5 (* (cos (/ -1 re)) (exp (/ -1 im)))) (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im))))) * [misc]backup-simplify: Simplify (+ (* 0.5 (* (cos (/ -1 re)) (exp (/ -1 im)))) (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im))))) into (+ (* 0.5 (* (cos (/ -1 re)) (exp (/ -1 im)))) (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ -1 im))) (+ (* (/ 0.5 (exp (/ -1 im))) (/ 0 (exp (/ -1 im)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 re)) 0) (* 0 (/ 0.5 (exp (/ -1 im))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (* 0 (cos (/ -1 re)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (/ -1 im)) 0) (* 0 (* 0.5 (cos (/ -1 re))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [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 (+ (* (cos (/ -1 re)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 re) (+ (* (/ -1 re) (/ 0 re)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 re)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 re)) 0) (* 0 (exp (/ -1 im)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (* 0 (* (cos (/ -1 re)) (exp (/ -1 im))))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 re)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 re) (+ (* (/ -1 re) (/ 0 re)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 re)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ -1 im))) (+ (* (/ (cos (/ -1 re)) (exp (/ -1 im))) (/ 0 (exp (/ -1 im)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (* 0 (/ (cos (/ -1 re)) (exp (/ -1 im))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 im) (/ 0 (- im))) (* 0 (/ 0 (- im))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ -1 im))) (+ (* (/ 0.5 (exp (/ -1 im))) (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 re)) 0) (+ (* 0 0) (* 0 (/ 0.5 (exp (/ -1 im)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (cos (/ -1 re))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 im) (/ 0 (- im))) (* 0 (/ 0 (- im))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (/ -1 im)) 0) (+ (* 0 0) (* 0 (* 0.5 (cos (/ -1 re)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [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 (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 re)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 re) (+ (* (/ -1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 re)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 re)) 0) (+ (* 0 0) (* 0 (exp (/ -1 im))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* (cos (/ -1 re)) (exp (/ -1 im)))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 re)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 re) (+ (* (/ -1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 re)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ -1 im))) (+ (* (/ (cos (/ -1 re)) (exp (/ -1 im))) (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ (cos (/ -1 re)) (exp (/ -1 im)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 im) (/ 0 (- im))) (* 0 (/ 0 (- im))) (* 0 (/ 0 (- im))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ -1 im))) (+ (* (/ 0.5 (exp (/ -1 im))) (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 re)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 0.5 (exp (/ -1 im))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 re)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 im) (/ 0 (- im))) (* 0 (/ 0 (- im))) (* 0 (/ 0 (- im))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (/ -1 im)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 0.5 (cos (/ -1 re))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 (* (cos (/ -1 re)) (exp (/ -1 im)))) (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im))))) into (+ (* 0.5 (* (cos (/ -1 re)) (exp (/ -1 im)))) (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im))))) * * * [misc]progress: simplifying alt 1 of 21 * [enter]simplify: Simplifying (- (+ (* 0.5 (sqr im)) 1.0) (* 0.5 (sqr re))) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * * [misc]simplify: iters left: 1 (26 enodes) * [exit]simplify: Simplified to (- (fma 0.5 (* im im) 1.0) (* re (* 0.5 re))) * [misc]none: prog is (λ (re im) (- (fma 0.5 (* im im) 1.0) (* re (* 0.5 re)))) * * * [misc]progress: simplifying alt 2 of 21 * [enter]simplify: Simplifying (* 0.5 (* (cos (/ 1 re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im)))))) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (* (fma (cos (/ 1 re)) (exp (/ 1 im)) (/ (cos (/ 1 re)) (exp (/ 1 im)))) 0.5) * [misc]none: prog is (λ (re im) (* (fma (cos (/ 1 re)) (exp (/ 1 im)) (/ (cos (/ 1 re)) (exp (/ 1 im)))) 0.5)) * * * [misc]progress: simplifying alt 3 of 21 * [enter]simplify: Simplifying (* 0.5 (* (cos (/ -1 re)) (+ (exp (/ 1 im)) (exp (/ -1 im))))) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * [exit]simplify: Simplified to (* (* 0.5 (cos (/ -1 re))) (+ (exp (/ -1 im)) (exp (/ 1 im)))) * [misc]none: prog is (λ (re im) (* (* 0.5 (cos (/ -1 re))) (+ (exp (/ -1 im)) (exp (/ 1 im))))) * * * [misc]progress: simplifying alt 4 of 21 * [enter]simplify: Simplifying (- (+ (* (sqr im) (sqr (sqrt 0.5))) (* 2 (sqr (sqrt 0.5)))) (* 0.5 (sqr re))) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (* 0.5 (- (fma im im 2) (* re re))) * [misc]none: prog is (λ (re im) (* 0.5 (- (fma im im 2) (* re re)))) * * * [misc]progress: simplifying alt 5 of 21 * [enter]simplify: Simplifying (* (cos (/ 1 re)) (* (+ (exp (/ 1 im)) (exp (- (/ 1 im)))) (sqr (sqrt 0.5)))) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (* 0.5 (fma (/ 1 (exp (/ 1 im))) (cos (/ 1 re)) (* (exp (/ 1 im)) (cos (/ 1 re))))) * [misc]none: prog is (λ (re im) (* 0.5 (fma (/ 1 (exp (/ 1 im))) (cos (/ 1 re)) (* (exp (/ 1 im)) (cos (/ 1 re)))))) * * * [misc]progress: simplifying alt 6 of 21 * [enter]simplify: Simplifying (* (cos (/ -1 re)) (* (+ (exp (/ 1 im)) (exp (/ -1 im))) (sqr (sqrt 0.5)))) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (* 0.5 (* (cos (/ -1 re)) (+ (exp (/ -1 im)) (exp (/ 1 im))))) * [misc]none: prog is (λ (re im) (* 0.5 (* (cos (/ -1 re)) (+ (exp (/ -1 im)) (exp (/ 1 im)))))) * * * [misc]progress: simplifying alt 7 of 21 * [enter]simplify: Simplifying (sqr (- (+ (* 1/2 (/ (* (sqr im) (sqrt 0.5)) (sqrt 2))) (* (sqrt 2) (sqrt 0.5))) (* 0.25 (/ (* (sqrt 1/2) (sqr re)) (sqrt 0.5))))) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (79 enodes) * [exit]simplify: Simplified to (* (- (fma (sqrt 0.5) (sqrt 2) (/ (* (* im im) 1/2) (/ (sqrt 2) (sqrt 0.5)))) (/ (* (sqrt 1/2) 0.25) (/ (sqrt 0.5) (sqr re)))) (- (fma (sqrt 0.5) (sqrt 2) (/ (* (* im im) 1/2) (/ (sqrt 2) (sqrt 0.5)))) (/ (* (sqrt 1/2) 0.25) (/ (sqrt 0.5) (sqr re))))) * [misc]none: prog is (λ (re im) (* (- (fma (sqrt 0.5) (sqrt 2) (/ (* (* im im) 1/2) (/ (sqrt 2) (sqrt 0.5)))) (/ (* (sqrt 1/2) 0.25) (/ (sqrt 0.5) (sqr re)))) (- (fma (sqrt 0.5) (sqrt 2) (/ (* (* im im) 1/2) (/ (sqrt 2) (sqrt 0.5)))) (/ (* (sqrt 1/2) 0.25) (/ (sqrt 0.5) (sqr re)))))) * * * [misc]progress: simplifying alt 8 of 21 * [enter]simplify: Simplifying (sqr (* (sqrt (* (cos (/ 1 re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im)))))) (sqrt 0.5))) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (* 0.5 (fma (cos (/ 1 re)) (exp (/ 1 im)) (/ (cos (/ 1 re)) (exp (/ 1 im))))) * [misc]none: prog is (λ (re im) (* 0.5 (fma (cos (/ 1 re)) (exp (/ 1 im)) (/ (cos (/ 1 re)) (exp (/ 1 im)))))) * * * [misc]progress: simplifying alt 9 of 21 * [enter]simplify: Simplifying (sqr (* (sqrt (* (cos (/ -1 re)) (+ (exp (/ 1 im)) (exp (/ -1 im))))) (sqrt 0.5))) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (* 0.5 (* (cos (/ -1 re)) (+ (exp (/ -1 im)) (exp (/ 1 im))))) * [misc]none: prog is (λ (re im) (* 0.5 (* (cos (/ -1 re)) (+ (exp (/ -1 im)) (exp (/ 1 im)))))) * * * [misc]progress: simplifying alt 10 of 21 * [enter]simplify: Simplifying (sqr (sqrt (- (+ (* 0.5 (sqr im)) 1.0) (* 0.5 (sqr re))))) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * [exit]simplify: Simplified to (- (fma 0.5 (* im im) 1.0) (* (* 0.5 re) re)) * [misc]none: prog is (λ (re im) (- (fma 0.5 (* im im) 1.0) (* (* 0.5 re) re))) * * * [misc]progress: simplifying alt 11 of 21 * [enter]simplify: Simplifying (sqr (sqrt (* 0.5 (* (cos (/ 1 re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im)))))))) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (* (fma (exp (/ 1 im)) (cos (/ 1 re)) (/ (cos (/ 1 re)) (exp (/ 1 im)))) 0.5) * [misc]none: prog is (λ (re im) (* (fma (exp (/ 1 im)) (cos (/ 1 re)) (/ (cos (/ 1 re)) (exp (/ 1 im)))) 0.5)) * * * [misc]progress: simplifying alt 12 of 21 * [enter]simplify: Simplifying (sqr (sqrt (* 0.5 (* (cos (/ -1 re)) (+ (exp (/ 1 im)) (exp (/ -1 im))))))) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (* 0.5 (cos (/ -1 re)))) * [misc]none: prog is (λ (re im) (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (* 0.5 (cos (/ -1 re))))) * * * [misc]progress: simplifying alt 13 of 21 * [enter]simplify: Simplifying (+ (- 0.5 (+ (* 0.5 im) (* 0.25 (sqr re)))) (* (exp im) (* 0.5 (cos re)))) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (fma (* (exp im) 0.5) (cos re) (- 0.5 (fma (* re re) 0.25 (* im 0.5)))) * [misc]none: prog is (λ (re im) (fma (* (exp im) 0.5) (cos re) (- 0.5 (fma (* re re) 0.25 (* im 0.5))))) * * * [misc]progress: simplifying alt 14 of 21 * [enter]simplify: Simplifying (+ (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) (* (exp im) (* 0.5 (cos re)))) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * [exit]simplify: Simplified to (fma 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im))) (* (exp im) (* (cos re) 0.5))) * [misc]none: prog is (λ (re im) (fma 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im))) (* (exp im) (* (cos re) 0.5)))) * * * [misc]progress: simplifying alt 15 of 21 * [enter]simplify: Simplifying (+ (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) (* (exp im) (* 0.5 (cos re)))) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (fma 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im))) (* (exp im) (* (cos re) 0.5))) * [misc]none: prog is (λ (re im) (fma 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im))) (* (exp im) (* (cos re) 0.5)))) * * * [misc]progress: simplifying alt 16 of 21 * [enter]simplify: Simplifying (+ (* (cos re) (- (+ (* 0.25 (sqr im)) 0.5) (* 0.5 im))) (* (exp im) (* 0.5 (cos re)))) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (fma (- (fma 0.25 (* im im) 0.5) (* 0.5 im)) (cos re) (* (* (exp im) 0.5) (cos re))) * [misc]none: prog is (λ (re im) (fma (- (fma 0.25 (* im im) 0.5) (* 0.5 im)) (cos re) (* (* (exp im) 0.5) (cos re)))) * * * [misc]progress: simplifying alt 17 of 21 * [enter]simplify: Simplifying (+ (* (cos re) (/ 0.5 (exp (/ 1 im)))) (* (exp im) (* 0.5 (cos re)))) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * * [misc]simplify: iters left: 1 (36 enodes) * [exit]simplify: Simplified to (fma (* (cos re) 0.5) (exp im) (/ (* (cos re) 0.5) (exp (/ 1 im)))) * [misc]none: prog is (λ (re im) (fma (* (cos re) 0.5) (exp im) (/ (* (cos re) 0.5) (exp (/ 1 im))))) * * * [misc]progress: simplifying alt 18 of 21 * [enter]simplify: Simplifying (+ (* (cos re) (/ 0.5 (exp (/ -1 im)))) (* (exp im) (* 0.5 (cos re)))) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (fma (* (cos re) 0.5) (exp im) (/ (* (cos re) 0.5) (exp (/ -1 im)))) * [misc]none: prog is (λ (re im) (fma (* (cos re) 0.5) (exp im) (/ (* (cos re) 0.5) (exp (/ -1 im))))) * * * [misc]progress: simplifying alt 19 of 21 * [enter]simplify: Simplifying (- (+ (* 0.5 (sqr im)) 1.0) (* 0.5 (sqr re))) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * * [misc]simplify: iters left: 1 (26 enodes) * [exit]simplify: Simplified to (- (fma 0.5 (* im im) 1.0) (* re (* 0.5 re))) * [misc]none: prog is (λ (re im) (- (fma 0.5 (* im im) 1.0) (* re (* 0.5 re)))) * * * [misc]progress: simplifying alt 20 of 21 * [enter]simplify: Simplifying (+ (* 0.5 (* (exp (/ 1 im)) (cos (/ 1 re)))) (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im))))) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (* (fma (cos (/ 1 re)) (exp (/ 1 im)) (/ (cos (/ 1 re)) (exp (/ 1 im)))) 0.5) * [misc]none: prog is (λ (re im) (* (fma (cos (/ 1 re)) (exp (/ 1 im)) (/ (cos (/ 1 re)) (exp (/ 1 im)))) 0.5)) * * * [misc]progress: simplifying alt 21 of 21 * [enter]simplify: Simplifying (+ (* 0.5 (* (cos (/ -1 re)) (exp (/ -1 im)))) (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im))))) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (* 0.5 (fma (exp (/ -1 im)) (cos (/ -1 re)) (/ (cos (/ -1 re)) (exp (/ -1 im))))) * [misc]none: prog is (λ (re im) (* 0.5 (fma (exp (/ -1 im)) (cos (/ -1 re)) (/ (cos (/ -1 re)) (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) * [enter]simplify: Simplifying (sqrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (132 enodes) * * [misc]simplify: iters left: 1 (151 enodes) * [exit]simplify: Simplified to (sqrt (* (fma (exp im) (cos re) (/ (cos re) (exp im))) 0.5)) * [exit]simplify: Simplified to (sqrt (* (fma (exp im) (cos re) (/ (cos re) (exp im))) 0.5)) * [enter]simplify: Simplifying (cos re) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cos re) * [exit]simplify: Simplified to (cos re) * [enter]simplify: Simplifying (/ 0.5 (exp im)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (/ 0.5 (exp im)) * [exit]simplify: Simplified to (/ 0.5 (exp im))