* [misc]progress: [Phase 1 of 3] Setting up. * * * [misc]progress: [1/2] Preparing points * * * [misc]progress: [2/2] Setting up program. * [misc]progress: [Phase 2 of 3] Improving. * [enter]simplify: Simplifying (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* im im) (* re re))) re)))) * * [misc]progress: iteration 1 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 1 2 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 1 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 1 2 1 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 1 2 1) * [misc]approximate: Taking taylor expansion of (sqrt (+ (* re re) (* im im))) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* re re) (* im im))) in im * [misc]taylor: Taking taylor expansion of (+ (* re re) (* im im)) in im * [misc]taylor: Taking taylor expansion of (* re re) in im * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]taylor: Taking taylor expansion of (* im 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]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 (* re re) into (pow re 2) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow re 2) 0) into (pow re 2) * [misc]backup-simplify: Simplify (sqrt (pow re 2)) into re * [misc]backup-simplify: Simplify (+ (* re 0) (* 0 re)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* re re) (* im im))) in re * [misc]taylor: Taking taylor expansion of (+ (* re re) (* im im)) in re * [misc]taylor: Taking taylor expansion of (* re 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 re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* im im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* im im) into (pow im 2) * [misc]backup-simplify: Simplify (+ 0 (pow im 2)) into (pow im 2) * [misc]backup-simplify: Simplify (sqrt (pow im 2)) into im * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* im 0) (* 0 im)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* re re) (* im im))) in re * [misc]taylor: Taking taylor expansion of (+ (* re re) (* im im)) in re * [misc]taylor: Taking taylor expansion of (* re 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 re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* im im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* im im) into (pow im 2) * [misc]backup-simplify: Simplify (+ 0 (pow im 2)) into (pow im 2) * [misc]backup-simplify: Simplify (sqrt (pow im 2)) into im * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* im 0) (* 0 im)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 * [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]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 1 into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) * [misc]taylor: Taking taylor expansion of (/ 1/2 im) 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 im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 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 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (* im 1)) into im * [misc]approximate: Taking taylor expansion of (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) in im * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im * [misc]taylor: Taking taylor expansion of (* (/ 1 re) (/ 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]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]taylor: Taking taylor expansion of (* (/ 1 im) (/ 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]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 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) in re * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re * [misc]taylor: Taking taylor expansion of (* (/ 1 re) (/ 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]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]taylor: Taking taylor expansion of (* (/ 1 im) (/ 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]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 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) in re * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re * [misc]taylor: Taking taylor expansion of (* (/ 1 re) (/ 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]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]taylor: Taking taylor expansion of (* (/ 1 im) (/ 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]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 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of 1 in im * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) * [misc]backup-simplify: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) * [misc]taylor: Taking taylor expansion of (/ 1/2 (pow im 2)) 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 (pow im 2) in im * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) 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 (* 1 (* 1 (/ 1 (/ 1 re)))) into re * [misc]approximate: Taking taylor expansion of (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) in im * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in im * [misc]taylor: Taking taylor expansion of (* (/ 1 (- re)) (/ 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]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]taylor: Taking taylor expansion of (* (/ 1 (- im)) (/ 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]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 -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) in re * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re * [misc]taylor: Taking taylor expansion of (* (/ 1 (- re)) (/ 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]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]taylor: Taking taylor expansion of (* (/ 1 (- im)) (/ 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]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 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) in re * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re * [misc]taylor: Taking taylor expansion of (* (/ 1 (- re)) (/ 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]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]taylor: Taking taylor expansion of (* (/ 1 (- im)) (/ 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]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 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of 1 in im * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 0 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) * [misc]backup-simplify: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) * [misc]taylor: Taking taylor expansion of (/ 1/2 (pow im 2)) 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 (pow im 2) in im * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) 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 (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) 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 (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 1 2) * [misc]approximate: Taking taylor expansion of (+ (sqrt (+ (* re re) (* im im))) re) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (+ (sqrt (+ (* re re) (* im im))) re) in im * [misc]taylor: Taking taylor expansion of (sqrt (+ (* re re) (* im im))) in im * [misc]taylor: Taking taylor expansion of (+ (* re re) (* im im)) in im * [misc]taylor: Taking taylor expansion of (* re re) in im * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]taylor: Taking taylor expansion of (* im 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]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 (* re re) into (pow re 2) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow re 2) 0) into (pow re 2) * [misc]backup-simplify: Simplify (sqrt (pow re 2)) into re * [misc]backup-simplify: Simplify (+ (* re 0) (* 0 re)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]taylor: Taking taylor expansion of (+ (sqrt (+ (* re re) (* im im))) re) in re * [misc]taylor: Taking taylor expansion of (sqrt (+ (* re re) (* im im))) in re * [misc]taylor: Taking taylor expansion of (+ (* re re) (* im im)) in re * [misc]taylor: Taking taylor expansion of (* re 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 re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* im im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* im im) into (pow im 2) * [misc]backup-simplify: Simplify (+ 0 (pow im 2)) into (pow im 2) * [misc]backup-simplify: Simplify (sqrt (pow im 2)) into im * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* im 0) (* 0 im)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 * [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 (+ (sqrt (+ (* re re) (* im im))) re) in re * [misc]taylor: Taking taylor expansion of (sqrt (+ (* re re) (* im im))) in re * [misc]taylor: Taking taylor expansion of (+ (* re re) (* im im)) in re * [misc]taylor: Taking taylor expansion of (* re 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 re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* im im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* im im) into (pow im 2) * [misc]backup-simplify: Simplify (+ 0 (pow im 2)) into (pow im 2) * [misc]backup-simplify: Simplify (sqrt (pow im 2)) into im * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* im 0) (* 0 im)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 * [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 (+ im 0) into 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 (+ 0 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in im * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) * [misc]backup-simplify: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 im)) 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 (/ 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 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ im re) * [misc]approximate: Taking taylor expansion of (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) in im * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) in im * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im * [misc]taylor: Taking taylor expansion of (* (/ 1 re) (/ 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]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]taylor: Taking taylor expansion of (* (/ 1 im) (/ 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]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 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (/ 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]taylor: Taking taylor expansion of (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) in re * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) in re * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re * [misc]taylor: Taking taylor expansion of (* (/ 1 re) (/ 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]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]taylor: Taking taylor expansion of (* (/ 1 im) (/ 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]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 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (/ 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]taylor: Taking taylor expansion of (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) in re * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) in re * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re * [misc]taylor: Taking taylor expansion of (* (/ 1 re) (/ 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]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]taylor: Taking taylor expansion of (* (/ 1 im) (/ 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]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 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (/ 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 (+ 1 1) into 2 * [misc]taylor: Taking taylor expansion of 2 in im * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) 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 2 into 2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) * [misc]backup-simplify: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) 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 (/ 1 (pow im 2)) in im * [misc]taylor: Taking taylor expansion of (pow im 2) in im * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) 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 (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re) * [misc]approximate: Taking taylor expansion of (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) in im * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) in im * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in im * [misc]taylor: Taking taylor expansion of (* (/ 1 (- re)) (/ 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]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]taylor: Taking taylor expansion of (* (/ 1 (- im)) (/ 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]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 -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [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]taylor: Taking taylor expansion of (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) in re * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) in re * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re * [misc]taylor: Taking taylor expansion of (* (/ 1 (- re)) (/ 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]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]taylor: Taking taylor expansion of (* (/ 1 (- im)) (/ 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]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 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (/ 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]taylor: Taking taylor expansion of (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) in re * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) in re * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re * [misc]taylor: Taking taylor expansion of (* (/ 1 (- re)) (/ 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]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]taylor: Taking taylor expansion of (* (/ 1 (- im)) (/ 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]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 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (/ 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 (+ 1 -1) 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 (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) 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) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) * [misc]backup-simplify: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) 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 (/ 1 (pow im 2)) in im * [misc]taylor: Taking taylor expansion of (pow im 2) in im * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) 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 (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) in im * [misc]taylor: Taking taylor expansion of (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) in im * [misc]taylor: Taking taylor expansion of 2.0 in im * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]taylor: Taking taylor expansion of (+ (sqrt (+ (* re re) (* im im))) re) in im * [misc]taylor: Taking taylor expansion of (sqrt (+ (* re re) (* im im))) in im * [misc]taylor: Taking taylor expansion of (+ (* re re) (* im im)) in im * [misc]taylor: Taking taylor expansion of (* re re) in im * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]taylor: Taking taylor expansion of (* im 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]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 (* re re) into (pow re 2) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow re 2) 0) into (pow re 2) * [misc]backup-simplify: Simplify (sqrt (pow re 2)) into re * [misc]backup-simplify: Simplify (+ (* re 0) (* 0 re)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]backup-simplify: Simplify (+ re re) into (* 2 re) * [misc]backup-simplify: Simplify (* 2.0 (* 2 re)) into (* 4.0 re) * [misc]backup-simplify: Simplify (sqrt (* 4.0 re)) into (* (sqrt 4.0) (sqrt re)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2.0 0) (* 0 (* 2 re))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* 4.0 re)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) in re * [misc]taylor: Taking taylor expansion of (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) in re * [misc]taylor: Taking taylor expansion of 2.0 in re * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]taylor: Taking taylor expansion of (+ (sqrt (+ (* re re) (* im im))) re) in re * [misc]taylor: Taking taylor expansion of (sqrt (+ (* re re) (* im im))) in re * [misc]taylor: Taking taylor expansion of (+ (* re re) (* im im)) in re * [misc]taylor: Taking taylor expansion of (* re 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 re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* im im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* im im) into (pow im 2) * [misc]backup-simplify: Simplify (+ 0 (pow im 2)) into (pow im 2) * [misc]backup-simplify: Simplify (sqrt (pow im 2)) into im * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* im 0) (* 0 im)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 * [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 (+ im 0) into im * [misc]backup-simplify: Simplify (* 2.0 im) into (* 2.0 im) * [misc]backup-simplify: Simplify (sqrt (* 2.0 im)) into (* (sqrt im) (sqrt 2.0)) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* 2.0 1) (* 0 im)) into 2.0 * [misc]backup-simplify: Simplify (/ 2.0 (* 2 (sqrt (* 2.0 im)))) into (* 1.0 (* (sqrt (/ 1 im)) (/ 1 (sqrt 2.0)))) * [misc]taylor: Taking taylor expansion of (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) in re * [misc]taylor: Taking taylor expansion of (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) in re * [misc]taylor: Taking taylor expansion of 2.0 in re * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]taylor: Taking taylor expansion of (+ (sqrt (+ (* re re) (* im im))) re) in re * [misc]taylor: Taking taylor expansion of (sqrt (+ (* re re) (* im im))) in re * [misc]taylor: Taking taylor expansion of (+ (* re re) (* im im)) in re * [misc]taylor: Taking taylor expansion of (* re 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 re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* im im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* im im) into (pow im 2) * [misc]backup-simplify: Simplify (+ 0 (pow im 2)) into (pow im 2) * [misc]backup-simplify: Simplify (sqrt (pow im 2)) into im * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* im 0) (* 0 im)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 * [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 (+ im 0) into im * [misc]backup-simplify: Simplify (* 2.0 im) into (* 2.0 im) * [misc]backup-simplify: Simplify (sqrt (* 2.0 im)) into (* (sqrt im) (sqrt 2.0)) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* 2.0 1) (* 0 im)) into 2.0 * [misc]backup-simplify: Simplify (/ 2.0 (* 2 (sqrt (* 2.0 im)))) into (* 1.0 (* (sqrt (/ 1 im)) (/ 1 (sqrt 2.0)))) * [misc]taylor: Taking taylor expansion of (* (sqrt im) (sqrt 2.0)) in im * [misc]taylor: Taking taylor expansion of (sqrt 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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt 2.0) in im * [misc]taylor: Taking taylor expansion of 2.0 in im * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (sqrt 2.0) into (sqrt 2.0) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 * [misc]backup-simplify: Simplify (* 0 (sqrt 2.0)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 im)) (/ 1 (sqrt 2.0)))) in im * [misc]taylor: Taking taylor expansion of 1.0 in im * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 im)) (/ 1 (sqrt 2.0))) in im * [misc]taylor: Taking taylor expansion of (sqrt (/ 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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt 2.0)) in im * [misc]taylor: Taking taylor expansion of (sqrt 2.0) in im * [misc]taylor: Taking taylor expansion of 2.0 in im * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (sqrt 2.0) into (sqrt 2.0) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* +nan.0 (/ 1 (sqrt 2.0)))) into (- (* +nan.0 (/ 1 (sqrt 2.0)))) * [misc]backup-simplify: Simplify (* 0 (/ 1 (sqrt 2.0))) into 0 * [misc]backup-simplify: Simplify (+ (* 1.0 (- (* +nan.0 (/ 1 (sqrt 2.0))))) (* 0 0)) into (- (* +nan.0 (/ 1 (sqrt 2.0)))) * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (sqrt 2.0)))) into (- (* +nan.0 (/ 1 (sqrt 2.0)))) * [misc]backup-simplify: Simplify (+ (* 0 0) (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) * [misc]backup-simplify: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) * [misc]backup-simplify: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) * [misc]backup-simplify: Simplify (+ (* 2.0 (* 1/2 (/ 1 im))) (+ (* 0 1) (* 0 im))) into (* 1.0 (/ 1 im)) * [misc]backup-simplify: Simplify (/ (- (* 1.0 (/ 1 im)) (pow (* 1.0 (* (sqrt (/ 1 im)) (/ 1 (sqrt 2.0)))) 2) (+)) (* 2 (* (sqrt im) (sqrt 2.0)))) into (* 1/2 (* (/ (- (* 1.0 (/ 1 im)) (* 1.0 (/ 1 (* im (pow (sqrt 2.0) 2))))) (sqrt 2.0)) (sqrt (/ 1 im)))) * [misc]taylor: Taking taylor expansion of (* 1/2 (* (/ (- (* 1.0 (/ 1 im)) (* 1.0 (/ 1 (* im (pow (sqrt 2.0) 2))))) (sqrt 2.0)) (sqrt (/ 1 im)))) 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 (* (/ (- (* 1.0 (/ 1 im)) (* 1.0 (/ 1 (* im (pow (sqrt 2.0) 2))))) (sqrt 2.0)) (sqrt (/ 1 im))) in im * [misc]taylor: Taking taylor expansion of (/ (- (* 1.0 (/ 1 im)) (* 1.0 (/ 1 (* im (pow (sqrt 2.0) 2))))) (sqrt 2.0)) in im * [misc]taylor: Taking taylor expansion of (- (* 1.0 (/ 1 im)) (* 1.0 (/ 1 (* im (pow (sqrt 2.0) 2))))) in im * [misc]taylor: Taking taylor expansion of (* 1.0 (/ 1 im)) in im * [misc]taylor: Taking taylor expansion of 1.0 in im * [misc]backup-simplify: Simplify 1.0 into 1.0 * [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]taylor: Taking taylor expansion of (* 1.0 (/ 1 (* im (pow (sqrt 2.0) 2)))) in im * [misc]taylor: Taking taylor expansion of 1.0 in im * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]taylor: Taking taylor expansion of (/ 1 (* im (pow (sqrt 2.0) 2))) in im * [misc]taylor: Taking taylor expansion of (* im (pow (sqrt 2.0) 2)) 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]taylor: Taking taylor expansion of (pow (sqrt 2.0) 2) in im * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (sqrt 2.0)))) in im * [misc]taylor: Taking taylor expansion of (* 2 (log (sqrt 2.0))) in im * [misc]taylor: Taking taylor expansion of 2 in im * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (sqrt 2.0)) in im * [misc]taylor: Taking taylor expansion of (sqrt 2.0) in im * [misc]taylor: Taking taylor expansion of 2.0 in im * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (sqrt 2.0) into (sqrt 2.0) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 * [misc]backup-simplify: Simplify (log (sqrt 2.0)) into (log (sqrt 2.0)) * [misc]backup-simplify: Simplify (* 2 (log (sqrt 2.0))) into (* 2 (log (sqrt 2.0))) * [misc]backup-simplify: Simplify (exp (* 2 (log (sqrt 2.0)))) into (pow (sqrt 2.0) 2) * [misc]backup-simplify: Simplify (* 0 (pow (sqrt 2.0) 2)) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt 2.0) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (sqrt 2.0)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (sqrt 2.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (pow (sqrt 2.0) 2))) into (pow (sqrt 2.0) 2) * [misc]backup-simplify: Simplify (/ 1 (pow (sqrt 2.0) 2)) into (/ 1 (pow (sqrt 2.0) 2)) * [misc]taylor: Taking taylor expansion of (sqrt 2.0) in im * [misc]taylor: Taking taylor expansion of 2.0 in im * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (sqrt 2.0) into (sqrt 2.0) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 * [misc]backup-simplify: Simplify (* 1.0 1) into 1.0 * [misc]backup-simplify: Simplify (* 1.0 (/ 1 (pow (sqrt 2.0) 2))) into (/ 1.0 (pow (sqrt 2.0) 2)) * [misc]backup-simplify: Simplify (- (/ 1.0 (pow (sqrt 2.0) 2))) into (- (* 1.0 (/ 1 (pow (sqrt 2.0) 2)))) * [misc]backup-simplify: Simplify (+ 1.0 (- (* 1.0 (/ 1 (pow (sqrt 2.0) 2))))) into (- 1.0 (* 1.0 (/ 1 (pow (sqrt 2.0) 2)))) * [misc]backup-simplify: Simplify (/ (- 1.0 (* 1.0 (/ 1 (pow (sqrt 2.0) 2)))) (sqrt 2.0)) into (/ (- 1.0 (* 1.0 (/ 1 (pow (sqrt 2.0) 2)))) (sqrt 2.0)) * [misc]taylor: Taking taylor expansion of (sqrt (/ 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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1.0 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt 2.0) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt 2.0) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log (sqrt 2.0))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (sqrt 2.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (pow (sqrt 2.0) 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow (sqrt 2.0) 2)) (/ 0 (pow (sqrt 2.0) 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1.0 0) (* 0 (/ 1 (pow (sqrt 2.0) 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (- 1.0 (* 1.0 (/ 1 (pow (sqrt 2.0) 2)))) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sqrt 2.0) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (sqrt 2.0) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sqrt 2.0) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt 2.0)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (sqrt 2.0)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (pow (sqrt 2.0) 2))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow (sqrt 2.0) 2)) (/ 0 (pow (sqrt 2.0) 2))) (* 0 (/ 0 (pow (sqrt 2.0) 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (/ 1 (pow (sqrt 2.0) 2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (- 1.0 (* 1.0 (/ 1 (pow (sqrt 2.0) 2)))) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (- 1.0 (* 1.0 (/ 1 (pow (sqrt 2.0) 2)))) (sqrt 2.0)) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt 2.0) 3))) (- (* +nan.0 (/ 1 (sqrt 2.0)))))) * [misc]backup-simplify: Simplify (+ (* (/ (- 1.0 (* 1.0 (/ 1 (pow (sqrt 2.0) 2)))) (sqrt 2.0)) +nan.0) (* 0 0)) into (- (+ (* +nan.0 (/ 1 (pow (sqrt 2.0) 3))) (- (* +nan.0 (/ 1 (sqrt 2.0)))))) * [misc]backup-simplify: Simplify (* (/ (- 1.0 (* 1.0 (/ 1 (pow (sqrt 2.0) 2)))) (sqrt 2.0)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (- (+ (* +nan.0 (/ 1 (pow (sqrt 2.0) 3))) (- (* +nan.0 (/ 1 (sqrt 2.0))))))) (+ (* 0 (- (+ (* +nan.0 (/ 1 (pow (sqrt 2.0) 3))) (- (* +nan.0 (/ 1 (sqrt 2.0))))))) (* 0 0))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt 2.0) 3))) (- (* +nan.0 (/ 1 (sqrt 2.0)))))) * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ 1 (pow (sqrt 2.0) 3))) (- (* +nan.0 (/ 1 (sqrt 2.0)))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt 2.0) 3))) (- (* +nan.0 (/ 1 (sqrt 2.0)))))) * [misc]backup-simplify: Simplify (+ (* (- (+ (* +nan.0 (/ 1 (pow (sqrt 2.0) 3))) (- (* +nan.0 (/ 1 (sqrt 2.0)))))) (pow (* 1 re) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* im 1)) (* (- (* +nan.0 (/ 1 (sqrt 2.0)))) (* 1 re)))) into (- (+ (* +nan.0 (/ (pow re 2) (sqrt 2.0))) (- (+ (* +nan.0 (/ (pow re 2) (pow (sqrt 2.0) 3))) (- (+ (* +nan.0 (/ re (sqrt 2.0))) (- (* +nan.0 (* im (sqrt 2.0)))))))))) * [misc]approximate: Taking taylor expansion of (sqrt (* 2.0 (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)))) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (* 2.0 (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)))) in im * [misc]taylor: Taking taylor expansion of (* 2.0 (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re))) in im * [misc]taylor: Taking taylor expansion of 2.0 in im * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]taylor: Taking taylor expansion of (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) in im * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) in im * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im * [misc]taylor: Taking taylor expansion of (* (/ 1 re) (/ 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]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]taylor: Taking taylor expansion of (* (/ 1 im) (/ 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]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 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (/ 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 (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 2.0 1) into 2.0 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 2.0 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (* 2.0 (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)))) in re * [misc]taylor: Taking taylor expansion of (* 2.0 (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re))) in re * [misc]taylor: Taking taylor expansion of 2.0 in re * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]taylor: Taking taylor expansion of (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) in re * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) in re * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re * [misc]taylor: Taking taylor expansion of (* (/ 1 re) (/ 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]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]taylor: Taking taylor expansion of (* (/ 1 im) (/ 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]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 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (/ 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 (+ 1 1) into 2 * [misc]backup-simplify: Simplify (* 2.0 2) into 4.0 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 4.0 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (* 2.0 (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)))) in re * [misc]taylor: Taking taylor expansion of (* 2.0 (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re))) in re * [misc]taylor: Taking taylor expansion of 2.0 in re * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]taylor: Taking taylor expansion of (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) in re * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) in re * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re * [misc]taylor: Taking taylor expansion of (* (/ 1 re) (/ 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]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]taylor: Taking taylor expansion of (* (/ 1 im) (/ 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]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 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (/ 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 (+ 1 1) into 2 * [misc]backup-simplify: Simplify (* 2.0 2) into 4.0 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 4.0 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of +nan.0 in im * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2.0 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]taylor: Taking taylor expansion of +nan.0 in im * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) * [misc]backup-simplify: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) * [misc]backup-simplify: Simplify (+ (* 2.0 (* 1/2 (/ 1 (pow im 2)))) (+ (* 0 0) (* 0 2))) into (* 1.0 (/ 1 (pow im 2))) * [misc]backup-simplify: Simplify (/ (- (* 1.0 (/ 1 (pow im 2))) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1.0 (/ 1 (pow im 2))) +nan.0)) * [misc]taylor: Taking taylor expansion of (* +nan.0 (- (* 1.0 (/ 1 (pow im 2))) +nan.0)) in im * [misc]taylor: Taking taylor expansion of +nan.0 in im * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (- (* 1.0 (/ 1 (pow im 2))) +nan.0) in im * [misc]taylor: Taking taylor expansion of (* 1.0 (/ 1 (pow im 2))) in im * [misc]taylor: Taking taylor expansion of 1.0 in im * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]taylor: Taking taylor expansion of (/ 1 (pow im 2)) in im * [misc]taylor: Taking taylor expansion of (pow im 2) in im * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of +nan.0 in im * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1.0 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* 1.0 1) into 1.0 * [misc]backup-simplify: Simplify (+ 1.0 0) into 1.0 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 1.0)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2.0 0) (+ (* 0 (* 1/2 (/ 1 (pow im 2)))) (+ (* 0 0) (* 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1.0 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 (pow im 2)))))) * [misc]taylor: Taking taylor expansion of (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 (pow im 2)))))) in im * [misc]taylor: Taking taylor expansion of +nan.0 in im * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (+ +nan.0 (- (* +nan.0 (/ 1 (pow im 2))))) in im * [misc]taylor: Taking taylor expansion of +nan.0 in im * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow im 2)))) in im * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im * [misc]taylor: Taking taylor expansion of +nan.0 in im * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (/ 1 (pow im 2)) in im * [misc]taylor: Taking taylor expansion of (pow im 2) in im * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* +nan.0 1) into +nan.0 * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ 0 (- +nan.0)) into (- +nan.0) * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (- +nan.0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ 0 (- +nan.0)) into (- +nan.0) * [misc]backup-simplify: Simplify (+ (* +nan.0 (- +nan.0)) (+ (* 0 0) (* 0 1.0))) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ (* (- +nan.0) (pow (* 1 (/ 1 re)) 2)) (+ (* +nan.0 (* 1 (/ 1 re))) +nan.0)) into (- (+ (* +nan.0 (/ 1 re)) (- (+ +nan.0 (- (* +nan.0 (/ 1 (pow re 2)))))))) * [misc]approximate: Taking taylor expansion of (sqrt (* 2.0 (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))))) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (* 2.0 (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))))) in im * [misc]taylor: Taking taylor expansion of (* 2.0 (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re)))) in im * [misc]taylor: Taking taylor expansion of 2.0 in im * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]taylor: Taking taylor expansion of (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) in im * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) in im * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in im * [misc]taylor: Taking taylor expansion of (* (/ 1 (- re)) (/ 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]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]taylor: Taking taylor expansion of (* (/ 1 (- im)) (/ 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]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 -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [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 (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 2.0 1) into 2.0 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 2.0 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (* 2.0 (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))))) in re * [misc]taylor: Taking taylor expansion of (* 2.0 (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re)))) in re * [misc]taylor: Taking taylor expansion of 2.0 in re * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]taylor: Taking taylor expansion of (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) in re * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) in re * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re * [misc]taylor: Taking taylor expansion of (* (/ 1 (- re)) (/ 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]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]taylor: Taking taylor expansion of (* (/ 1 (- im)) (/ 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]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 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (/ 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 (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (* 2.0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2.0 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) * [misc]backup-simplify: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) * [misc]backup-simplify: Simplify (+ (* 2.0 (* 1/2 (/ 1 (pow im 2)))) (+ (* 0 0) (* 0 0))) into (* 1.0 (/ 1 (pow im 2))) * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (* 1.0 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) * [misc]taylor: Taking taylor expansion of (sqrt (* 2.0 (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))))) in re * [misc]taylor: Taking taylor expansion of (* 2.0 (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re)))) in re * [misc]taylor: Taking taylor expansion of 2.0 in re * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]taylor: Taking taylor expansion of (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) in re * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) in re * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re * [misc]taylor: Taking taylor expansion of (* (/ 1 (- re)) (/ 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]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]taylor: Taking taylor expansion of (* (/ 1 (- im)) (/ 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]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 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (/ 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 (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (* 2.0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2.0 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) * [misc]backup-simplify: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) * [misc]backup-simplify: Simplify (+ (* 2.0 (* 1/2 (/ 1 (pow im 2)))) (+ (* 0 0) (* 0 0))) into (* 1.0 (/ 1 (pow im 2))) * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (* 1.0 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of (/ +nan.0 (pow im 2)) in im * [misc]taylor: Taking taylor expansion of +nan.0 in im * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (pow im 2) in im * [misc]backup-simplify: Simplify (/ +nan.0 1) into +nan.0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)))) 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 (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) 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 (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2.0 0) (+ (* 0 (* 1/2 (/ 1 (pow im 2)))) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4)) * [misc]taylor: Taking taylor expansion of (/ +nan.0 (pow im 4)) in im * [misc]taylor: Taking taylor expansion of +nan.0 in im * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (pow im 4) in im * [misc]backup-simplify: Simplify (/ +nan.0 1) into +nan.0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)) (* 0 (/ 0 1)))) 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 (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 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 (- 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 (+ (* (/ -1 im) 0) (+ (* 0 0) (* 0 (/ -1 im)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4)))) * [misc]backup-simplify: Simplify (+ (* 2.0 (- (* 1/8 (/ 1 (pow im 4))))) (+ (* 0 0) (+ (* 0 (* 1/2 (/ 1 (pow im 2)))) (+ (* 0 0) (* 0 0))))) into (- (* 0.25 (/ 1 (pow im 4)))) * [misc]backup-simplify: Simplify (/ (- (- (* 0.25 (/ 1 (pow im 4)))) (+ (* 2 (* (/ +nan.0 (pow im 2)) (/ +nan.0 (pow im 4)))))) (* 2 0)) into (* +nan.0 (+ (* 0.25 (/ 1 (pow im 4))) (- (* +nan.0 (/ 1 (pow im 6)))))) * [misc]taylor: Taking taylor expansion of (* +nan.0 (+ (* 0.25 (/ 1 (pow im 4))) (- (* +nan.0 (/ 1 (pow im 6)))))) in im * [misc]taylor: Taking taylor expansion of +nan.0 in im * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (+ (* 0.25 (/ 1 (pow im 4))) (- (* +nan.0 (/ 1 (pow im 6))))) in im * [misc]taylor: Taking taylor expansion of (* 0.25 (/ 1 (pow im 4))) 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 (pow im 4)) in im * [misc]taylor: Taking taylor expansion of (pow im 4) in im * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow im 6)))) in im * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 6))) in im * [misc]taylor: Taking taylor expansion of +nan.0 in im * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (/ 1 (pow im 6)) in im * [misc]taylor: Taking taylor expansion of (pow im 6) in im * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0.25 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* 0.25 1) into 0.25 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0.25 0) into 0.25 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* +nan.0 1) into +nan.0 * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ 0 (- +nan.0)) into (- +nan.0) * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.25) (+ (* 0 0) (* 0 (- +nan.0))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 1 2 1 1) * [misc]approximate: Taking taylor expansion of (+ (* re re) (* im im)) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (+ (* re re) (* im im)) in im * [misc]taylor: Taking taylor expansion of (* re re) in im * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]taylor: Taking taylor expansion of (* im 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]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* re re) (* im im)) in re * [misc]taylor: Taking taylor expansion of (* re 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 re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* im im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]taylor: Taking taylor expansion of (+ (* re re) (* im im)) in re * [misc]taylor: Taking taylor expansion of (* re 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 re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* im im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* im im) into (pow im 2) * [misc]backup-simplify: Simplify (+ 0 (pow im 2)) into (pow im 2) * [misc]taylor: Taking taylor expansion of (pow im 2) in im * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* im 0) (* 0 im)) 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 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in im * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) 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 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 im))))) 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 (* im 1) 2)) (* 1 (pow (* 1 re) 2))) into (+ (pow im 2) (pow re 2)) * [misc]approximate: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im * [misc]taylor: Taking taylor expansion of (* (/ 1 re) (/ 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]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]taylor: Taking taylor expansion of (* (/ 1 im) (/ 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]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]taylor: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re * [misc]taylor: Taking taylor expansion of (* (/ 1 re) (/ 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]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]taylor: Taking taylor expansion of (* (/ 1 im) (/ 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]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]taylor: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re * [misc]taylor: Taking taylor expansion of (* (/ 1 re) (/ 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]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]taylor: Taking taylor expansion of (* (/ 1 im) (/ 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]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 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in im * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow im 2)) in im * [misc]taylor: Taking taylor expansion of (pow im 2) in im * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) 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 (- (+ (* 1 (/ 0 1)))) 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 im) 0) (+ (* 0 0) (* 0 (/ 1 im)))) 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) 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 (+ (* 1 (pow (* 1 (/ 1 (/ 1 re))) 2)) (* 1 (pow (* (/ 1 (/ 1 im)) 1) 2))) into (+ (pow im 2) (pow re 2)) * [misc]approximate: Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in im * [misc]taylor: Taking taylor expansion of (* (/ 1 (- re)) (/ 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]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]taylor: Taking taylor expansion of (* (/ 1 (- im)) (/ 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]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]taylor: Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re * [misc]taylor: Taking taylor expansion of (* (/ 1 (- re)) (/ 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]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]taylor: Taking taylor expansion of (* (/ 1 (- im)) (/ 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]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]taylor: Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re * [misc]taylor: Taking taylor expansion of (* (/ 1 (- re)) (/ 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]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]taylor: Taking taylor expansion of (* (/ 1 (- im)) (/ 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]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 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in im * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]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 (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow im 2)) in im * [misc]taylor: Taking taylor expansion of (pow im 2) in im * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) 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 (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) 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 (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 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 (- 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 (+ (* (/ -1 im) 0) (+ (* 0 0) (* 0 (/ -1 im)))) 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) 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 (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- re)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- im))) 1) 2))) into (+ (pow im 2) (pow re 2)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (+ (* re re) (* im im)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (log (sqrt (+ (* im im) (* re re)))) * [exit]simplify: Simplified to (log (sqrt (+ (* im im) (* re re)))) * * * * [misc]progress: [ 4 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (+ (* re re) (* im im)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (exp (sqrt (+ (* im im) (* re re)))) * [exit]simplify: Simplified to (exp (sqrt (+ (* im im) (* re re)))) * * * * [misc]progress: [ 5 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ (* im im) (* re re)))) (cbrt (sqrt (+ (* im im) (* re re))))) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ (* im im) (* re re)))) (cbrt (sqrt (+ (* im im) (* re re))))) * [enter]simplify: Simplifying (cbrt (sqrt (+ (* re re) (* im im)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ (* im im) (* re re)))) * [exit]simplify: Simplified to (cbrt (sqrt (+ (* im im) (* re re)))) * * * * [misc]progress: [ 6 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * [exit]simplify: Simplified to (* (+ (* im im) (* re re)) (sqrt (+ (* im im) (* re re)))) * [exit]simplify: Simplified to (* (+ (* im im) (* re re)) (sqrt (+ (* im im) (* re re)))) * * * * [misc]progress: [ 7 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (fabs (cbrt (+ (* im im) (* re re)))) * [exit]simplify: Simplified to (fabs (cbrt (+ (* im im) (* re re)))) * [enter]simplify: Simplifying (sqrt (cbrt (+ (* re re) (* im im)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (+ (* im im) (* re re)))) * [exit]simplify: Simplified to (sqrt (cbrt (+ (* im im) (* re re)))) * * * * [misc]progress: [ 8 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ (* re re) (* im im)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* im im) (* re re)))) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* im im) (* re re)))) * [enter]simplify: Simplifying (sqrt (sqrt (+ (* re re) (* im im)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* im im) (* re re)))) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* im im) (* re re)))) * * * * [misc]progress: [ 9 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [exit]simplify: Simplified to (sqrt 1) * [enter]simplify: Simplifying (sqrt (+ (* re re) (* im im))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (sqrt (+ (* im im) (* re re))) * [exit]simplify: Simplified to (sqrt (+ (* im im) (* re re))) * * * * [misc]progress: [ 10 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (pow im 3) (pow im 3)) (pow (* re re) 3))) * [exit]simplify: Simplified to (sqrt (+ (* (pow im 3) (pow im 3)) (pow (* re re) 3))) * [enter]simplify: Simplifying (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (134 enodes) * * [misc]simplify: iters left: 2 (235 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (- (* re re) (* im im)) (* re re)) (* (* im im) (* im im)))) * [exit]simplify: Simplified to (sqrt (+ (* (- (* re re) (* im im)) (* re re)) (* (* im im) (* im im)))) * * * * [misc]progress: [ 11 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (172 enodes) * [exit]simplify: Simplified to (sqrt (* (+ (* re re) (* im im)) (- (* re re) (* im im)))) * [exit]simplify: Simplified to (sqrt (* (+ (* re re) (* im im)) (- (* re re) (* im im)))) * [enter]simplify: Simplifying (sqrt (- (* re re) (* im im))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (sqrt (* (- re im) (+ re im))) * [exit]simplify: Simplified to (sqrt (* (- re im) (+ re im))) * * * * [misc]progress: [ 12 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ (* re re) (* im im)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* im im) (* re re)))) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* im im) (* re re)))) * [enter]simplify: Simplifying (sqrt (sqrt (+ (* re re) (* im im)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* im im) (* re re)))) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* im im) (* re re)))) * * * * [misc]progress: [ 13 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (sqrt (+ (* re re) (* im im))) re)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (log (+ re (sqrt (+ (* im im) (* re re))))) * [exit]simplify: Simplified to (log (+ re (sqrt (+ (* im im) (* re re))))) * * * * [misc]progress: [ 17 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (+ (sqrt (+ (* re re) (* im im))) re)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (exp (+ re (sqrt (+ (* im im) (* re re))))) * [exit]simplify: Simplified to (exp (+ re (sqrt (+ (* im im) (* re re))))) * * * * [misc]progress: [ 18 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (* (cbrt (+ re (sqrt (+ (* im im) (* re re))))) (cbrt (+ re (sqrt (+ (* im im) (* re re)))))) * [exit]simplify: Simplified to (* (cbrt (+ re (sqrt (+ (* im im) (* re re))))) (cbrt (+ re (sqrt (+ (* im im) (* re re)))))) * [enter]simplify: Simplifying (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (cbrt (+ re (sqrt (+ (* im im) (* re re))))) * [exit]simplify: Simplified to (cbrt (+ re (sqrt (+ (* im im) (* re re))))) * * * * [misc]progress: [ 19 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re)) (+ (sqrt (+ (* re re) (* im im))) re)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (219 enodes) * [exit]simplify: Simplified to (pow (+ re (sqrt (+ (* im im) (* re re)))) 3) * [exit]simplify: Simplified to (pow (+ re (sqrt (+ (* im im) (* re re)))) 3) * * * * [misc]progress: [ 20 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (sqrt (+ re (sqrt (+ (* im im) (* re re))))) * [exit]simplify: Simplified to (sqrt (+ re (sqrt (+ (* im im) (* re re))))) * [enter]simplify: Simplifying (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (sqrt (+ re (sqrt (+ (* im im) (* re re))))) * [exit]simplify: Simplified to (sqrt (+ re (sqrt (+ (* im im) (* re re))))) * * * * [misc]progress: [ 21 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (+ (pow re 3) (* (sqrt (+ (* im im) (* re re))) (+ (* im im) (* re re)))) * [exit]simplify: Simplified to (+ (pow re 3) (* (sqrt (+ (* im im) (* re re))) (+ (* im im) (* re re)))) * [enter]simplify: Simplifying (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (171 enodes) * [exit]simplify: Simplified to (- (+ (* re re) (+ (* re re) (* im im))) (* (sqrt (+ (* re re) (* im im))) re)) * [exit]simplify: Simplified to (- (+ (* re re) (+ (* re re) (* im im))) (* (sqrt (+ (* re re) (* im im))) re)) * * * * [misc]progress: [ 22 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (294 enodes) * [exit]simplify: Simplified to (* im im) * [exit]simplify: Simplified to (* im im) * [enter]simplify: Simplifying (- (sqrt (+ (* re re) (* im im))) re) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (- (sqrt (+ (* im im) (* re re))) re) * [exit]simplify: Simplified to (- (sqrt (+ (* im im) (* re re))) re) * * * * [misc]progress: [ 24 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (log (sqrt (* (+ (sqrt (+ (* im im) (* re re))) re) 2.0))) * [exit]simplify: Simplified to (log (sqrt (* (+ (sqrt (+ (* im im) (* re re))) re) 2.0))) * * * * [misc]progress: [ 28 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (exp (sqrt (* (+ (sqrt (+ (* im im) (* re re))) re) 2.0))) * [exit]simplify: Simplified to (exp (sqrt (* (+ (sqrt (+ (* im im) (* re re))) re) 2.0))) * * * * [misc]progress: [ 29 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (* (+ (sqrt (+ (* im im) (* re re))) re) 2.0))) (cbrt (sqrt (* (+ (sqrt (+ (* im im) (* re re))) re) 2.0)))) * [exit]simplify: Simplified to (* (cbrt (sqrt (* (+ (sqrt (+ (* im im) (* re re))) re) 2.0))) (cbrt (sqrt (* (+ (sqrt (+ (* im im) (* re re))) re) 2.0)))) * [enter]simplify: Simplifying (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (* (+ (sqrt (+ (* im im) (* re re))) re) 2.0))) * [exit]simplify: Simplified to (cbrt (sqrt (* (+ (sqrt (+ (* im im) (* re re))) re) 2.0))) * * * * [misc]progress: [ 30 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * [exit]simplify: Simplified to (* (* (+ (sqrt (+ (* im im) (* re re))) re) 2.0) (sqrt (* (+ (sqrt (+ (* im im) (* re re))) re) 2.0))) * [exit]simplify: Simplified to (* (* (+ (sqrt (+ (* im im) (* re re))) re) 2.0) (sqrt (* (+ (sqrt (+ (* im im) (* re re))) re) 2.0))) * * * * [misc]progress: [ 31 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 2.0) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 2.0) * [exit]simplify: Simplified to (sqrt 2.0) * [enter]simplify: Simplifying (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (sqrt (+ re (sqrt (+ (* im im) (* re re))))) * [exit]simplify: Simplified to (sqrt (+ re (sqrt (+ (* im im) (* re re))))) * * * * [misc]progress: [ 32 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* 2.0 (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (152 enodes) * * [misc]simplify: iters left: 1 (249 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* im im) (* re re)) 2.0) (sqrt (+ (* im im) (* re re)))) (* (* re re) (* re 2.0)))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* im im) (* re re)) 2.0) (sqrt (+ (* im im) (* re re)))) (* (* re re) (* re 2.0)))) * [enter]simplify: Simplifying (sqrt (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (171 enodes) * [exit]simplify: Simplified to (sqrt (- (+ (* re re) (+ (* re re) (* im im))) (* (sqrt (+ (* re re) (* im im))) re))) * [exit]simplify: Simplified to (sqrt (- (+ (* re re) (+ (* re re) (* im im))) (* (sqrt (+ (* re re) (* im im))) re))) * * * * [misc]progress: [ 33 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* 2.0 (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (119 enodes) * * [misc]simplify: iters left: 2 (294 enodes) * [exit]simplify: Simplified to (sqrt (* 2.0 (* im im))) * [exit]simplify: Simplified to (sqrt (* 2.0 (* im im))) * [enter]simplify: Simplifying (sqrt (- (sqrt (+ (* re re) (* im im))) re)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (sqrt (- (sqrt (+ (* im im) (* re re))) re)) * [exit]simplify: Simplified to (sqrt (- (sqrt (+ (* im im) (* re re))) re)) * * * * [misc]progress: [ 34 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (* (+ (sqrt (+ (* im im) (* re re))) re) 2.0))) * [exit]simplify: Simplified to (sqrt (sqrt (* (+ (sqrt (+ (* im im) (* re re))) re) 2.0))) * [enter]simplify: Simplifying (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (* (+ (sqrt (+ (* im im) (* re re))) re) 2.0))) * [exit]simplify: Simplified to (sqrt (sqrt (* (+ (sqrt (+ (* im im) (* re re))) re) 2.0))) * * * * [misc]progress: [ 35 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (* (exp (* re re)) (exp (* im im))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (exp (+ (* re re) (* im im))) * [exit]simplify: Simplified to (exp (+ (* re re) (* im im))) * * * * [misc]progress: [ 37 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (* re re) (* im im))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (log (+ (* im im) (* re re))) * [exit]simplify: Simplified to (log (+ (* im im) (* re re))) * * * * [misc]progress: [ 39 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (+ (* re re) (* im im))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (exp (+ (* im im) (* re re))) * [exit]simplify: Simplified to (exp (+ (* im im) (* re re))) * * * * [misc]progress: [ 40 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (* im im) (* re re))) (cbrt (+ (* im im) (* re re)))) * [exit]simplify: Simplified to (* (cbrt (+ (* im im) (* re re))) (cbrt (+ (* im im) (* re re)))) * [enter]simplify: Simplifying (cbrt (+ (* re re) (* im im))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (cbrt (+ (* im im) (* re re))) * [exit]simplify: Simplified to (cbrt (+ (* im im) (* re re))) * * * * [misc]progress: [ 41 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) (+ (* re re) (* im im))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (91 enodes) * * [misc]simplify: iters left: 3 (316 enodes) * [exit]simplify: Simplified to (pow (+ (* im im) (* re re)) 3) * [exit]simplify: Simplified to (pow (+ (* im im) (* re re)) 3) * * * * [misc]progress: [ 42 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (* re re) (* im im))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (sqrt (+ (* im im) (* re re))) * [exit]simplify: Simplified to (sqrt (+ (* im im) (* re re))) * [enter]simplify: Simplifying (sqrt (+ (* re re) (* im im))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (sqrt (+ (* im im) (* re re))) * [exit]simplify: Simplified to (sqrt (+ (* im im) (* re re))) * * * * [misc]progress: [ 43 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow (* re re) 3) (pow (* im im) 3)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * [exit]simplify: Simplified to (+ (pow (* im im) 3) (* (pow re 3) (pow re 3))) * [exit]simplify: Simplified to (+ (pow (* im im) 3) (* (pow re 3) (pow re 3))) * [enter]simplify: Simplifying (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (133 enodes) * * [misc]simplify: iters left: 2 (234 enodes) * [exit]simplify: Simplified to (+ (* (* re re) (- (* re re) (* im im))) (* (* im im) (* im im))) * [exit]simplify: Simplified to (+ (* (* re re) (- (* re re) (* im im))) (* (* im im) (* im im))) * * * * [misc]progress: [ 44 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* re re) (* re re)) (* (* im im) (* im im))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (170 enodes) * [exit]simplify: Simplified to (- (* (* re re) (* re re)) (* (* im im) (* im im))) * [exit]simplify: Simplified to (- (* (* re re) (* re re)) (* (* im im) (* im im))) * [enter]simplify: Simplifying (- (* re re) (* im im)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (- (* re re) (* im im)) * [exit]simplify: Simplified to (- (* re re) (* im im)) * * * * [misc]progress: [ 46 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (* 0.5 (sqrt (* 2.0 (+ im re)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (* 0.5 (sqrt (* 2.0 (+ re im)))) * * * * [misc]progress: [ 48 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (* 0.5 (sqrt (* 2.0 (+ re re)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (* (sqrt (* (+ 2.0 2.0) re)) 0.5) * * * * [misc]progress: [ 49 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (* 0.5 (sqrt (* 2.0 (+ (* -1 re) re)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * [exit]simplify: Simplified to (* (sqrt 0) 0.5) * * * * [misc]progress: [ 50 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (* 0.5 (sqrt (* 2.0 (+ im re)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (* 0.5 (sqrt (* 2.0 (+ re im)))) * * * * [misc]progress: [ 51 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (* 0.5 (sqrt (* 2.0 (* 2 re)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (* 0.5 (sqrt (* (* re 2.0) 2))) * * * * [misc]progress: [ 52 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (* 0.5 (sqrt (* 2.0 0))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (* 0.5 (sqrt 0)) * * * * [misc]progress: [ 53 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (* 0.5 (- (+ (* +nan.0 (/ (pow re 2) (sqrt 2.0))) (- (+ (* +nan.0 (/ (pow re 2) (pow (sqrt 2.0) 3))) (- (+ (* +nan.0 (/ re (sqrt 2.0))) (- (* +nan.0 (* im (sqrt 2.0))))))))))) * * * * [misc]progress: [ 54 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (* 0.5 (- (+ (* +nan.0 (/ 1 re)) (- (+ +nan.0 (- (* +nan.0 (/ 1 (pow re 2))))))))) * * * * [misc]progress: [ 55 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (* 0.5 0) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 56 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (pow im 2) (pow re 2))) re)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * [exit]simplify: Simplified to (* 0.5 (sqrt (* (+ re (sqrt (+ (* im im) (* re re)))) 2.0))) * * * * [misc]progress: [ 57 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (pow im 2) (pow re 2))) re)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * [exit]simplify: Simplified to (* 0.5 (sqrt (* (+ re (sqrt (+ (* im im) (* re re)))) 2.0))) * * * * [misc]progress: [ 58 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (pow im 2) (pow re 2))) re)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * [exit]simplify: Simplified to (* 0.5 (sqrt (* (+ re (sqrt (+ (* im im) (* re re)))) 2.0))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 2 1 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 2 1 1) * [misc]approximate: Taking taylor expansion of (sqrt (+ (* re re) (* im im))) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* re re) (* im im))) in im * [misc]taylor: Taking taylor expansion of (+ (* re re) (* im im)) in im * [misc]taylor: Taking taylor expansion of (* re re) in im * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]taylor: Taking taylor expansion of (* im 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]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 (* re re) into (pow re 2) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow re 2) 0) into (pow re 2) * [misc]backup-simplify: Simplify (sqrt (pow re 2)) into re * [misc]backup-simplify: Simplify (+ (* re 0) (* 0 re)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* re re) (* im im))) in re * [misc]taylor: Taking taylor expansion of (+ (* re re) (* im im)) in re * [misc]taylor: Taking taylor expansion of (* re 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 re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* im im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* im im) into (pow im 2) * [misc]backup-simplify: Simplify (+ 0 (pow im 2)) into (pow im 2) * [misc]backup-simplify: Simplify (sqrt (pow im 2)) into im * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* im 0) (* 0 im)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* re re) (* im im))) in re * [misc]taylor: Taking taylor expansion of (+ (* re re) (* im im)) in re * [misc]taylor: Taking taylor expansion of (* re 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 re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* im im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* im im) into (pow im 2) * [misc]backup-simplify: Simplify (+ 0 (pow im 2)) into (pow im 2) * [misc]backup-simplify: Simplify (sqrt (pow im 2)) into im * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* im 0) (* 0 im)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 * [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]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 1 into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) * [misc]taylor: Taking taylor expansion of (/ 1/2 im) 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 im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 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 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (* im 1)) into im * [misc]approximate: Taking taylor expansion of (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) in im * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im * [misc]taylor: Taking taylor expansion of (* (/ 1 re) (/ 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]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]taylor: Taking taylor expansion of (* (/ 1 im) (/ 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]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 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) in re * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re * [misc]taylor: Taking taylor expansion of (* (/ 1 re) (/ 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]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]taylor: Taking taylor expansion of (* (/ 1 im) (/ 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]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 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) in re * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re * [misc]taylor: Taking taylor expansion of (* (/ 1 re) (/ 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]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]taylor: Taking taylor expansion of (* (/ 1 im) (/ 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]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 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of 1 in im * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) * [misc]backup-simplify: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) * [misc]taylor: Taking taylor expansion of (/ 1/2 (pow im 2)) 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 (pow im 2) in im * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) 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 (* 1 (* 1 (/ 1 (/ 1 re)))) into re * [misc]approximate: Taking taylor expansion of (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) in im * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in im * [misc]taylor: Taking taylor expansion of (* (/ 1 (- re)) (/ 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]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]taylor: Taking taylor expansion of (* (/ 1 (- im)) (/ 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]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 -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) in re * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re * [misc]taylor: Taking taylor expansion of (* (/ 1 (- re)) (/ 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]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]taylor: Taking taylor expansion of (* (/ 1 (- im)) (/ 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]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 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) in re * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re * [misc]taylor: Taking taylor expansion of (* (/ 1 (- re)) (/ 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]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]taylor: Taking taylor expansion of (* (/ 1 (- im)) (/ 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]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 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of 1 in im * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 0 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) * [misc]backup-simplify: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) * [misc]taylor: Taking taylor expansion of (/ 1/2 (pow im 2)) 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 (pow im 2) in im * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) 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 (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) 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 (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 2 1) * [misc]approximate: Taking taylor expansion of (+ (sqrt (+ (* re re) (* im im))) re) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (+ (sqrt (+ (* re re) (* im im))) re) in im * [misc]taylor: Taking taylor expansion of (sqrt (+ (* re re) (* im im))) in im * [misc]taylor: Taking taylor expansion of (+ (* re re) (* im im)) in im * [misc]taylor: Taking taylor expansion of (* re re) in im * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]taylor: Taking taylor expansion of (* im 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]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 (* re re) into (pow re 2) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow re 2) 0) into (pow re 2) * [misc]backup-simplify: Simplify (sqrt (pow re 2)) into re * [misc]backup-simplify: Simplify (+ (* re 0) (* 0 re)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]taylor: Taking taylor expansion of (+ (sqrt (+ (* re re) (* im im))) re) in re * [misc]taylor: Taking taylor expansion of (sqrt (+ (* re re) (* im im))) in re * [misc]taylor: Taking taylor expansion of (+ (* re re) (* im im)) in re * [misc]taylor: Taking taylor expansion of (* re 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 re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* im im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* im im) into (pow im 2) * [misc]backup-simplify: Simplify (+ 0 (pow im 2)) into (pow im 2) * [misc]backup-simplify: Simplify (sqrt (pow im 2)) into im * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* im 0) (* 0 im)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 * [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 (+ (sqrt (+ (* re re) (* im im))) re) in re * [misc]taylor: Taking taylor expansion of (sqrt (+ (* re re) (* im im))) in re * [misc]taylor: Taking taylor expansion of (+ (* re re) (* im im)) in re * [misc]taylor: Taking taylor expansion of (* re 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 re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* im im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* im im) into (pow im 2) * [misc]backup-simplify: Simplify (+ 0 (pow im 2)) into (pow im 2) * [misc]backup-simplify: Simplify (sqrt (pow im 2)) into im * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* im 0) (* 0 im)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 * [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 (+ im 0) into 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 (+ 0 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in im * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) * [misc]backup-simplify: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 im)) 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 (/ 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 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ im re) * [misc]approximate: Taking taylor expansion of (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) in im * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) in im * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im * [misc]taylor: Taking taylor expansion of (* (/ 1 re) (/ 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]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]taylor: Taking taylor expansion of (* (/ 1 im) (/ 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]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 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (/ 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]taylor: Taking taylor expansion of (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) in re * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) in re * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re * [misc]taylor: Taking taylor expansion of (* (/ 1 re) (/ 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]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]taylor: Taking taylor expansion of (* (/ 1 im) (/ 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]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 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (/ 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]taylor: Taking taylor expansion of (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) in re * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) in re * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re * [misc]taylor: Taking taylor expansion of (* (/ 1 re) (/ 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]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]taylor: Taking taylor expansion of (* (/ 1 im) (/ 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]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 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (/ 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 (+ 1 1) into 2 * [misc]taylor: Taking taylor expansion of 2 in im * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) 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 2 into 2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) * [misc]backup-simplify: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) 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 (/ 1 (pow im 2)) in im * [misc]taylor: Taking taylor expansion of (pow im 2) in im * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) 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 (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re) * [misc]approximate: Taking taylor expansion of (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) in im * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) in im * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in im * [misc]taylor: Taking taylor expansion of (* (/ 1 (- re)) (/ 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]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]taylor: Taking taylor expansion of (* (/ 1 (- im)) (/ 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]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 -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [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]taylor: Taking taylor expansion of (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) in re * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) in re * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re * [misc]taylor: Taking taylor expansion of (* (/ 1 (- re)) (/ 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]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]taylor: Taking taylor expansion of (* (/ 1 (- im)) (/ 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]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 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (/ 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]taylor: Taking taylor expansion of (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) in re * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) in re * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re * [misc]taylor: Taking taylor expansion of (* (/ 1 (- re)) (/ 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]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]taylor: Taking taylor expansion of (* (/ 1 (- im)) (/ 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]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 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (/ 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 (+ 1 -1) 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 (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) 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) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) * [misc]backup-simplify: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) 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 (/ 1 (pow im 2)) in im * [misc]taylor: Taking taylor expansion of (pow im 2) in im * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) 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 (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) in im * [misc]taylor: Taking taylor expansion of (sqrt 2.0) in im * [misc]taylor: Taking taylor expansion of 2.0 in im * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (sqrt 2.0) into (sqrt 2.0) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) in im * [misc]taylor: Taking taylor expansion of (+ (sqrt (+ (* re re) (* im im))) re) in im * [misc]taylor: Taking taylor expansion of (sqrt (+ (* re re) (* im im))) in im * [misc]taylor: Taking taylor expansion of (+ (* re re) (* im im)) in im * [misc]taylor: Taking taylor expansion of (* re re) in im * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]taylor: Taking taylor expansion of (* im 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]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 (* re re) into (pow re 2) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow re 2) 0) into (pow re 2) * [misc]backup-simplify: Simplify (sqrt (pow re 2)) into re * [misc]backup-simplify: Simplify (+ (* re 0) (* 0 re)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]backup-simplify: Simplify (+ re re) into (* 2 re) * [misc]backup-simplify: Simplify (sqrt (* 2 re)) into (* (sqrt 2) (sqrt re)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0 * [misc]taylor: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) in re * [misc]taylor: Taking taylor expansion of (sqrt 2.0) in re * [misc]taylor: Taking taylor expansion of 2.0 in re * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (sqrt 2.0) into (sqrt 2.0) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) in re * [misc]taylor: Taking taylor expansion of (+ (sqrt (+ (* re re) (* im im))) re) in re * [misc]taylor: Taking taylor expansion of (sqrt (+ (* re re) (* im im))) in re * [misc]taylor: Taking taylor expansion of (+ (* re re) (* im im)) in re * [misc]taylor: Taking taylor expansion of (* re 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 re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* im im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* im im) into (pow im 2) * [misc]backup-simplify: Simplify (+ 0 (pow im 2)) into (pow im 2) * [misc]backup-simplify: Simplify (sqrt (pow im 2)) into im * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* im 0) (* 0 im)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 * [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 (+ im 0) into im * [misc]backup-simplify: Simplify (sqrt im) into (sqrt im) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im))) * [misc]taylor: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) in re * [misc]taylor: Taking taylor expansion of (sqrt 2.0) in re * [misc]taylor: Taking taylor expansion of 2.0 in re * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (sqrt 2.0) into (sqrt 2.0) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) in re * [misc]taylor: Taking taylor expansion of (+ (sqrt (+ (* re re) (* im im))) re) in re * [misc]taylor: Taking taylor expansion of (sqrt (+ (* re re) (* im im))) in re * [misc]taylor: Taking taylor expansion of (+ (* re re) (* im im)) in re * [misc]taylor: Taking taylor expansion of (* re 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 re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* im im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* im im) into (pow im 2) * [misc]backup-simplify: Simplify (+ 0 (pow im 2)) into (pow im 2) * [misc]backup-simplify: Simplify (sqrt (pow im 2)) into im * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* im 0) (* 0 im)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 * [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 (+ im 0) into im * [misc]backup-simplify: Simplify (sqrt im) into (sqrt im) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im))) * [misc]backup-simplify: Simplify (* (sqrt 2.0) (sqrt im)) into (* (sqrt im) (sqrt 2.0)) * [misc]taylor: Taking taylor expansion of (* (sqrt im) (sqrt 2.0)) in im * [misc]taylor: Taking taylor expansion of (sqrt 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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt 2.0) in im * [misc]taylor: Taking taylor expansion of 2.0 in im * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (sqrt 2.0) into (sqrt 2.0) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 * [misc]backup-simplify: Simplify (* 0 (sqrt 2.0)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt 2.0) (* 1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im))) into (* 1/2 (* (sqrt (/ 1 im)) (sqrt 2.0))) * [misc]taylor: Taking taylor expansion of (* 1/2 (* (sqrt (/ 1 im)) (sqrt 2.0))) 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 im)) (sqrt 2.0)) in im * [misc]taylor: Taking taylor expansion of (sqrt (/ 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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt 2.0) in im * [misc]taylor: Taking taylor expansion of 2.0 in im * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (sqrt 2.0) into (sqrt 2.0) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) * [misc]backup-simplify: Simplify (* 0 (sqrt 2.0)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) * [misc]backup-simplify: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) * [misc]backup-simplify: Simplify (+ (* 0 0) (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) * [misc]backup-simplify: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) * [misc]backup-simplify: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) * [misc]backup-simplify: Simplify (/ (- (* 1/2 (/ 1 im)) (pow (* 1/2 (sqrt (/ 1 im))) 2) (+)) (* 2 (sqrt im))) into (* 1/8 (sqrt (/ 1 (pow im 3)))) * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt 2.0) (* 1/8 (sqrt (/ 1 (pow im 3))))) (+ (* 0 (* 1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im)))) into (* 1/8 (* (sqrt (/ 1 (pow im 3))) (sqrt 2.0))) * [misc]taylor: Taking taylor expansion of (* 1/8 (* (sqrt (/ 1 (pow im 3))) (sqrt 2.0))) in im * [misc]taylor: Taking taylor expansion of 1/8 in im * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 (pow im 3))) (sqrt 2.0)) in im * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im * [misc]taylor: Taking taylor expansion of (/ 1 (pow im 3)) in im * [misc]taylor: Taking taylor expansion of (pow im 3) in im * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt 2.0) in im * [misc]taylor: Taking taylor expansion of 2.0 in im * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (sqrt 2.0) into (sqrt 2.0) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) * [misc]backup-simplify: Simplify (+ (* 0 0) (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) * [misc]backup-simplify: Simplify (* 0 (sqrt 2.0)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/8 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) * [misc]backup-simplify: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* 1 re) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* im 1)) (* (- (* +nan.0 (sqrt 2.0))) (* 1 re)))) into (- (+ (* +nan.0 (* (sqrt 2.0) (pow re 2))) (- (+ (* +nan.0 (* im (sqrt 2.0))) (- (* +nan.0 (* (sqrt 2.0) re))))))) * [misc]approximate: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)))) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)))) in im * [misc]taylor: Taking taylor expansion of (sqrt 2.0) in im * [misc]taylor: Taking taylor expansion of 2.0 in im * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (sqrt 2.0) into (sqrt 2.0) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re))) in im * [misc]taylor: Taking taylor expansion of (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) in im * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) in im * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im * [misc]taylor: Taking taylor expansion of (* (/ 1 re) (/ 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]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]taylor: Taking taylor expansion of (* (/ 1 im) (/ 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]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 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (/ 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 (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)))) in re * [misc]taylor: Taking taylor expansion of (sqrt 2.0) in re * [misc]taylor: Taking taylor expansion of 2.0 in re * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (sqrt 2.0) into (sqrt 2.0) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re))) in re * [misc]taylor: Taking taylor expansion of (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) in re * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) in re * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re * [misc]taylor: Taking taylor expansion of (* (/ 1 re) (/ 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]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]taylor: Taking taylor expansion of (* (/ 1 im) (/ 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]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 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (/ 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 (+ 1 1) into 2 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)))) in re * [misc]taylor: Taking taylor expansion of (sqrt 2.0) in re * [misc]taylor: Taking taylor expansion of 2.0 in re * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (sqrt 2.0) into (sqrt 2.0) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re))) in re * [misc]taylor: Taking taylor expansion of (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) in re * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) in re * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re * [misc]taylor: Taking taylor expansion of (* (/ 1 re) (/ 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]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]taylor: Taking taylor expansion of (* (/ 1 im) (/ 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]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 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (/ 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 (+ 1 1) into 2 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (* (sqrt 2.0) 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im * [misc]taylor: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im * [misc]taylor: Taking taylor expansion of +nan.0 in im * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt 2.0) in im * [misc]taylor: Taking taylor expansion of 2.0 in im * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (sqrt 2.0) into (sqrt 2.0) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im * [misc]taylor: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im * [misc]taylor: Taking taylor expansion of +nan.0 in im * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt 2.0) in im * [misc]taylor: Taking taylor expansion of 2.0 in im * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (sqrt 2.0) into (sqrt 2.0) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 * [misc]backup-simplify: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) * [misc]backup-simplify: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) * [misc]backup-simplify: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) * [misc]backup-simplify: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) * [misc]backup-simplify: Simplify (/ (- (* 1/2 (/ 1 (pow im 2))) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im * [misc]taylor: Taking taylor expansion of +nan.0 in im * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im * [misc]taylor: Taking taylor expansion of (sqrt 2.0) in im * [misc]taylor: Taking taylor expansion of 2.0 in im * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (sqrt 2.0) into (sqrt 2.0) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 * [misc]taylor: Taking taylor expansion of (pow im 2) in im * [misc]backup-simplify: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im * [misc]taylor: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im * [misc]taylor: Taking taylor expansion of +nan.0 in im * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt 2.0) in im * [misc]taylor: Taking taylor expansion of 2.0 in im * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (sqrt 2.0) into (sqrt 2.0) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) 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 (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) * [misc]backup-simplify: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) * [misc]backup-simplify: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 (pow im 2)))))) * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 (pow im 2))))))) (+ (* 0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0))))) into (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im * [misc]taylor: Taking taylor expansion of +nan.0 in im * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im * [misc]taylor: Taking taylor expansion of (sqrt 2.0) in im * [misc]taylor: Taking taylor expansion of 2.0 in im * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (sqrt 2.0) into (sqrt 2.0) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 * [misc]taylor: Taking taylor expansion of (pow im 2) in im * [misc]backup-simplify: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im * [misc]taylor: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im * [misc]taylor: Taking taylor expansion of +nan.0 in im * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt 2.0) in im * [misc]taylor: Taking taylor expansion of 2.0 in im * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (sqrt 2.0) into (sqrt 2.0) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) 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 (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 * [misc]backup-simplify: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) * [misc]backup-simplify: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) * [misc]backup-simplify: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) * [misc]backup-simplify: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) * [misc]backup-simplify: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* 1 (/ 1 re)) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* 1 (/ 1 re))) (- (* +nan.0 (sqrt 2.0))))) into (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (sqrt 2.0))))))) * [misc]approximate: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))))) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))))) in im * [misc]taylor: Taking taylor expansion of (sqrt 2.0) in im * [misc]taylor: Taking taylor expansion of 2.0 in im * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (sqrt 2.0) into (sqrt 2.0) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re)))) in im * [misc]taylor: Taking taylor expansion of (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) in im * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) in im * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in im * [misc]taylor: Taking taylor expansion of (* (/ 1 (- re)) (/ 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]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]taylor: Taking taylor expansion of (* (/ 1 (- im)) (/ 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]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 -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [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 (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))))) in re * [misc]taylor: Taking taylor expansion of (sqrt 2.0) in re * [misc]taylor: Taking taylor expansion of 2.0 in re * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (sqrt 2.0) into (sqrt 2.0) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re)))) in re * [misc]taylor: Taking taylor expansion of (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) in re * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) in re * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re * [misc]taylor: Taking taylor expansion of (* (/ 1 (- re)) (/ 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]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]taylor: Taking taylor expansion of (* (/ 1 (- im)) (/ 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]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 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (/ 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 (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) * [misc]backup-simplify: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) * [misc]taylor: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))))) in re * [misc]taylor: Taking taylor expansion of (sqrt 2.0) in re * [misc]taylor: Taking taylor expansion of 2.0 in re * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (sqrt 2.0) into (sqrt 2.0) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re)))) in re * [misc]taylor: Taking taylor expansion of (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) in re * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) in re * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re * [misc]taylor: Taking taylor expansion of (* (/ 1 (- re)) (/ 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]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]taylor: Taking taylor expansion of (* (/ 1 (- im)) (/ 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]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 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (/ 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 (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) * [misc]backup-simplify: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) * [misc]backup-simplify: Simplify (* (sqrt 2.0) 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 2))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im * [misc]taylor: Taking taylor expansion of +nan.0 in im * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im * [misc]taylor: Taking taylor expansion of (sqrt 2.0) in im * [misc]taylor: Taking taylor expansion of 2.0 in im * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (sqrt 2.0) into (sqrt 2.0) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 * [misc]taylor: Taking taylor expansion of (pow im 2) in im * [misc]backup-simplify: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) 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 (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4)) * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 4))) (+ (* 0 (/ +nan.0 (pow im 2))) (* 0 0))) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im * [misc]taylor: Taking taylor expansion of +nan.0 in im * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im * [misc]taylor: Taking taylor expansion of (sqrt 2.0) in im * [misc]taylor: Taking taylor expansion of 2.0 in im * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (sqrt 2.0) into (sqrt 2.0) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 * [misc]taylor: Taking taylor expansion of (pow im 4) in im * [misc]backup-simplify: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 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 (- 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 (+ (* (/ -1 im) 0) (+ (* 0 0) (* 0 (/ -1 im)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4)))) * [misc]backup-simplify: Simplify (/ (- (- (* 1/8 (/ 1 (pow im 4)))) (+ (* 2 (* (/ +nan.0 (pow im 2)) (/ +nan.0 (pow im 4)))))) (* 2 0)) into (* +nan.0 (+ (* 1/8 (/ 1 (pow im 4))) (- (* +nan.0 (/ 1 (pow im 6)))))) * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (* 1/8 (/ 1 (pow im 4))) (- (* +nan.0 (/ 1 (pow im 6))))))) (+ (* 0 (/ +nan.0 (pow im 4))) (+ (* 0 (/ +nan.0 (pow im 2))) (* 0 0)))) into (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im * [misc]taylor: Taking taylor expansion of +nan.0 in im * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im * [misc]taylor: Taking taylor expansion of (sqrt 2.0) in im * [misc]taylor: Taking taylor expansion of 2.0 in im * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (sqrt 2.0) into (sqrt 2.0) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 * [misc]taylor: Taking taylor expansion of (pow im 4) in im * [misc]backup-simplify: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im * [misc]taylor: Taking taylor expansion of +nan.0 in im * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im * [misc]taylor: Taking taylor expansion of (sqrt 2.0) in im * [misc]taylor: Taking taylor expansion of 2.0 in im * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (sqrt 2.0) into (sqrt 2.0) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 * [misc]taylor: Taking taylor expansion of (pow im 6) in im * [misc]backup-simplify: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 2) * [misc]approximate: Taking taylor expansion of (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) in im * [misc]taylor: Taking taylor expansion of (+ (sqrt (+ (* re re) (* im im))) re) in im * [misc]taylor: Taking taylor expansion of (sqrt (+ (* re re) (* im im))) in im * [misc]taylor: Taking taylor expansion of (+ (* re re) (* im im)) in im * [misc]taylor: Taking taylor expansion of (* re re) in im * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]taylor: Taking taylor expansion of (* im 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]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 (* re re) into (pow re 2) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow re 2) 0) into (pow re 2) * [misc]backup-simplify: Simplify (sqrt (pow re 2)) into re * [misc]backup-simplify: Simplify (+ (* re 0) (* 0 re)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]backup-simplify: Simplify (+ re re) into (* 2 re) * [misc]backup-simplify: Simplify (sqrt (* 2 re)) into (* (sqrt 2) (sqrt re)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) in re * [misc]taylor: Taking taylor expansion of (+ (sqrt (+ (* re re) (* im im))) re) in re * [misc]taylor: Taking taylor expansion of (sqrt (+ (* re re) (* im im))) in re * [misc]taylor: Taking taylor expansion of (+ (* re re) (* im im)) in re * [misc]taylor: Taking taylor expansion of (* re 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 re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* im im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* im im) into (pow im 2) * [misc]backup-simplify: Simplify (+ 0 (pow im 2)) into (pow im 2) * [misc]backup-simplify: Simplify (sqrt (pow im 2)) into im * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* im 0) (* 0 im)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 * [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 (+ im 0) into im * [misc]backup-simplify: Simplify (sqrt im) into (sqrt im) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im))) * [misc]taylor: Taking taylor expansion of (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) in re * [misc]taylor: Taking taylor expansion of (+ (sqrt (+ (* re re) (* im im))) re) in re * [misc]taylor: Taking taylor expansion of (sqrt (+ (* re re) (* im im))) in re * [misc]taylor: Taking taylor expansion of (+ (* re re) (* im im)) in re * [misc]taylor: Taking taylor expansion of (* re 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 re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* im im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* im im) into (pow im 2) * [misc]backup-simplify: Simplify (+ 0 (pow im 2)) into (pow im 2) * [misc]backup-simplify: Simplify (sqrt (pow im 2)) into im * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* im 0) (* 0 im)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 * [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 (+ im 0) into im * [misc]backup-simplify: Simplify (sqrt im) into (sqrt im) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im))) * [misc]taylor: Taking taylor expansion of (sqrt 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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of (* 1/2 (sqrt (/ 1 im))) 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 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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (+ (* 1/2 +nan.0) (* 0 0)) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) * [misc]backup-simplify: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) * [misc]backup-simplify: Simplify (/ (- (* 1/2 (/ 1 im)) (pow (* 1/2 (sqrt (/ 1 im))) 2) (+)) (* 2 (sqrt im))) into (* 1/8 (sqrt (/ 1 (pow im 3)))) * [misc]taylor: Taking taylor expansion of (* 1/8 (sqrt (/ 1 (pow im 3)))) in im * [misc]taylor: Taking taylor expansion of 1/8 in im * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im * [misc]taylor: Taking taylor expansion of (/ 1 (pow im 3)) in im * [misc]taylor: Taking taylor expansion of (pow im 3) in im * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ (* 1/8 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ (* (- +nan.0) (pow (* 1 re) 2)) (+ (* +nan.0 (* im 1)) (* (- +nan.0) (* 1 re)))) into (- (+ (* +nan.0 im) (- (+ (* +nan.0 re) (- (* +nan.0 (pow re 2))))))) * [misc]approximate: Taking taylor expansion of (sqrt (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re))) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re))) in im * [misc]taylor: Taking taylor expansion of (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) in im * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) in im * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im * [misc]taylor: Taking taylor expansion of (* (/ 1 re) (/ 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]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]taylor: Taking taylor expansion of (* (/ 1 im) (/ 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]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 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (/ 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 (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re))) in re * [misc]taylor: Taking taylor expansion of (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) in re * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) in re * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re * [misc]taylor: Taking taylor expansion of (* (/ 1 re) (/ 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]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]taylor: Taking taylor expansion of (* (/ 1 im) (/ 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]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 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (/ 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 (+ 1 1) into 2 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re))) in re * [misc]taylor: Taking taylor expansion of (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) in re * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) in re * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re * [misc]taylor: Taking taylor expansion of (* (/ 1 re) (/ 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]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]taylor: Taking taylor expansion of (* (/ 1 im) (/ 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]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 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (/ 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 (+ 1 1) into 2 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of +nan.0 in im * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]taylor: Taking taylor expansion of +nan.0 in im * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) * [misc]backup-simplify: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) * [misc]backup-simplify: Simplify (/ (- (* 1/2 (/ 1 (pow im 2))) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) * [misc]taylor: Taking taylor expansion of (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) in im * [misc]taylor: Taking taylor expansion of +nan.0 in im * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 (pow im 2))) +nan.0) in im * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) 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 (/ 1 (pow im 2)) in im * [misc]taylor: Taking taylor expansion of (pow im 2) in im * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of +nan.0 in im * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 1/2)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 (pow im 2)))))) * [misc]taylor: Taking taylor expansion of (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 (pow im 2)))))) in im * [misc]taylor: Taking taylor expansion of +nan.0 in im * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (+ +nan.0 (- (* +nan.0 (/ 1 (pow im 2))))) in im * [misc]taylor: Taking taylor expansion of +nan.0 in im * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow im 2)))) in im * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im * [misc]taylor: Taking taylor expansion of +nan.0 in im * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (/ 1 (pow im 2)) in im * [misc]taylor: Taking taylor expansion of (pow im 2) in im * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* +nan.0 1) into +nan.0 * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ 0 (- +nan.0)) into (- +nan.0) * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (- +nan.0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ 0 (- +nan.0)) into (- +nan.0) * [misc]backup-simplify: Simplify (+ (* +nan.0 (- +nan.0)) (+ (* 0 0) (* 0 1/2))) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ (* (- +nan.0) (pow (* 1 (/ 1 re)) 2)) (+ (* +nan.0 (* 1 (/ 1 re))) +nan.0)) into (- (+ (* +nan.0 (/ 1 re)) (- (+ +nan.0 (- (* +nan.0 (/ 1 (pow re 2)))))))) * [misc]approximate: Taking taylor expansion of (sqrt (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re)))) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re)))) in im * [misc]taylor: Taking taylor expansion of (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) in im * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) in im * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in im * [misc]taylor: Taking taylor expansion of (* (/ 1 (- re)) (/ 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]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]taylor: Taking taylor expansion of (* (/ 1 (- im)) (/ 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]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 -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [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 (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re)))) in re * [misc]taylor: Taking taylor expansion of (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) in re * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) in re * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re * [misc]taylor: Taking taylor expansion of (* (/ 1 (- re)) (/ 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]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]taylor: Taking taylor expansion of (* (/ 1 (- im)) (/ 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]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 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (/ 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 (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) * [misc]backup-simplify: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) * [misc]taylor: Taking taylor expansion of (sqrt (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re)))) in re * [misc]taylor: Taking taylor expansion of (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) in re * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) in re * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re * [misc]taylor: Taking taylor expansion of (* (/ 1 (- re)) (/ 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]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]taylor: Taking taylor expansion of (* (/ 1 (- im)) (/ 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]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 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (/ 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 (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) * [misc]backup-simplify: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of (/ +nan.0 (pow im 2)) in im * [misc]taylor: Taking taylor expansion of +nan.0 in im * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (pow im 2) in im * [misc]backup-simplify: Simplify (/ +nan.0 1) into +nan.0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)))) 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 (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) 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 (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4)) * [misc]taylor: Taking taylor expansion of (/ +nan.0 (pow im 4)) in im * [misc]taylor: Taking taylor expansion of +nan.0 in im * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (pow im 4) in im * [misc]backup-simplify: Simplify (/ +nan.0 1) into +nan.0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)) (* 0 (/ 0 1)))) 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 (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 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 (- 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 (+ (* (/ -1 im) 0) (+ (* 0 0) (* 0 (/ -1 im)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4)))) * [misc]backup-simplify: Simplify (/ (- (- (* 1/8 (/ 1 (pow im 4)))) (+ (* 2 (* (/ +nan.0 (pow im 2)) (/ +nan.0 (pow im 4)))))) (* 2 0)) into (* +nan.0 (+ (* 1/8 (/ 1 (pow im 4))) (- (* +nan.0 (/ 1 (pow im 6)))))) * [misc]taylor: Taking taylor expansion of (* +nan.0 (+ (* 1/8 (/ 1 (pow im 4))) (- (* +nan.0 (/ 1 (pow im 6)))))) in im * [misc]taylor: Taking taylor expansion of +nan.0 in im * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (+ (* 1/8 (/ 1 (pow im 4))) (- (* +nan.0 (/ 1 (pow im 6))))) in im * [misc]taylor: Taking taylor expansion of (* 1/8 (/ 1 (pow im 4))) in im * [misc]taylor: Taking taylor expansion of 1/8 in im * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (/ 1 (pow im 4)) in im * [misc]taylor: Taking taylor expansion of (pow im 4) in im * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow im 6)))) in im * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 6))) in im * [misc]taylor: Taking taylor expansion of +nan.0 in im * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (/ 1 (pow im 6)) in im * [misc]taylor: Taking taylor expansion of (pow im 6) in im * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/8 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/8 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/8 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* 1/8 1) into 1/8 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/8 0) into 1/8 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* +nan.0 1) into +nan.0 * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ 0 (- +nan.0)) into (- +nan.0) * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1/8) (+ (* 0 0) (* 0 (- +nan.0))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (+ (* re re) (* im im)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (log (sqrt (+ (* im im) (* re re)))) * [exit]simplify: Simplified to (log (sqrt (+ (* im im) (* re re)))) * * * * [misc]progress: [ 4 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (+ (* re re) (* im im)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (exp (sqrt (+ (* im im) (* re re)))) * [exit]simplify: Simplified to (exp (sqrt (+ (* im im) (* re re)))) * * * * [misc]progress: [ 5 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ (* im im) (* re re)))) (cbrt (sqrt (+ (* im im) (* re re))))) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ (* im im) (* re re)))) (cbrt (sqrt (+ (* im im) (* re re))))) * [enter]simplify: Simplifying (cbrt (sqrt (+ (* re re) (* im im)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ (* im im) (* re re)))) * [exit]simplify: Simplified to (cbrt (sqrt (+ (* im im) (* re re)))) * * * * [misc]progress: [ 6 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * [exit]simplify: Simplified to (* (+ (* im im) (* re re)) (sqrt (+ (* im im) (* re re)))) * [exit]simplify: Simplified to (* (+ (* im im) (* re re)) (sqrt (+ (* im im) (* re re)))) * * * * [misc]progress: [ 7 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (fabs (cbrt (+ (* im im) (* re re)))) * [exit]simplify: Simplified to (fabs (cbrt (+ (* im im) (* re re)))) * [enter]simplify: Simplifying (sqrt (cbrt (+ (* re re) (* im im)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (+ (* im im) (* re re)))) * [exit]simplify: Simplified to (sqrt (cbrt (+ (* im im) (* re re)))) * * * * [misc]progress: [ 8 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ (* re re) (* im im)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* im im) (* re re)))) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* im im) (* re re)))) * [enter]simplify: Simplifying (sqrt (sqrt (+ (* re re) (* im im)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* im im) (* re re)))) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* im im) (* re re)))) * * * * [misc]progress: [ 9 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [exit]simplify: Simplified to (sqrt 1) * [enter]simplify: Simplifying (sqrt (+ (* re re) (* im im))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (sqrt (+ (* im im) (* re re))) * [exit]simplify: Simplified to (sqrt (+ (* im im) (* re re))) * * * * [misc]progress: [ 10 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (pow im 3) (pow im 3)) (pow (* re re) 3))) * [exit]simplify: Simplified to (sqrt (+ (* (pow im 3) (pow im 3)) (pow (* re re) 3))) * [enter]simplify: Simplifying (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (134 enodes) * * [misc]simplify: iters left: 2 (235 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (- (* re re) (* im im)) (* re re)) (* (* im im) (* im im)))) * [exit]simplify: Simplified to (sqrt (+ (* (- (* re re) (* im im)) (* re re)) (* (* im im) (* im im)))) * * * * [misc]progress: [ 11 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (172 enodes) * [exit]simplify: Simplified to (sqrt (* (+ (* re re) (* im im)) (- (* re re) (* im im)))) * [exit]simplify: Simplified to (sqrt (* (+ (* re re) (* im im)) (- (* re re) (* im im)))) * [enter]simplify: Simplifying (sqrt (- (* re re) (* im im))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (sqrt (* (- re im) (+ re im))) * [exit]simplify: Simplified to (sqrt (* (- re im) (+ re im))) * * * * [misc]progress: [ 12 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ (* re re) (* im im)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* im im) (* re re)))) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* im im) (* re re)))) * [enter]simplify: Simplifying (sqrt (sqrt (+ (* re re) (* im im)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* im im) (* re re)))) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* im im) (* re re)))) * * * * [misc]progress: [ 13 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (sqrt (+ (* re re) (* im im))) re)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (log (+ re (sqrt (+ (* im im) (* re re))))) * [exit]simplify: Simplified to (log (+ re (sqrt (+ (* im im) (* re re))))) * * * * [misc]progress: [ 17 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (+ (sqrt (+ (* re re) (* im im))) re)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (exp (+ re (sqrt (+ (* im im) (* re re))))) * [exit]simplify: Simplified to (exp (+ re (sqrt (+ (* im im) (* re re))))) * * * * [misc]progress: [ 18 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (* (cbrt (+ re (sqrt (+ (* im im) (* re re))))) (cbrt (+ re (sqrt (+ (* im im) (* re re)))))) * [exit]simplify: Simplified to (* (cbrt (+ re (sqrt (+ (* im im) (* re re))))) (cbrt (+ re (sqrt (+ (* im im) (* re re)))))) * [enter]simplify: Simplifying (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (cbrt (+ re (sqrt (+ (* im im) (* re re))))) * [exit]simplify: Simplified to (cbrt (+ re (sqrt (+ (* im im) (* re re))))) * * * * [misc]progress: [ 19 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re)) (+ (sqrt (+ (* re re) (* im im))) re)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (219 enodes) * [exit]simplify: Simplified to (pow (+ re (sqrt (+ (* im im) (* re re)))) 3) * [exit]simplify: Simplified to (pow (+ re (sqrt (+ (* im im) (* re re)))) 3) * * * * [misc]progress: [ 20 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (sqrt (+ re (sqrt (+ (* im im) (* re re))))) * [exit]simplify: Simplified to (sqrt (+ re (sqrt (+ (* im im) (* re re))))) * [enter]simplify: Simplifying (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (sqrt (+ re (sqrt (+ (* im im) (* re re))))) * [exit]simplify: Simplified to (sqrt (+ re (sqrt (+ (* im im) (* re re))))) * * * * [misc]progress: [ 21 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (+ (pow re 3) (* (sqrt (+ (* im im) (* re re))) (+ (* im im) (* re re)))) * [exit]simplify: Simplified to (+ (pow re 3) (* (sqrt (+ (* im im) (* re re))) (+ (* im im) (* re re)))) * [enter]simplify: Simplifying (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (171 enodes) * [exit]simplify: Simplified to (- (+ (* re re) (+ (* re re) (* im im))) (* (sqrt (+ (* re re) (* im im))) re)) * [exit]simplify: Simplified to (- (+ (* re re) (+ (* re re) (* im im))) (* (sqrt (+ (* re re) (* im im))) re)) * * * * [misc]progress: [ 22 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (294 enodes) * [exit]simplify: Simplified to (* im im) * [exit]simplify: Simplified to (* im im) * [enter]simplify: Simplifying (- (sqrt (+ (* re re) (* im im))) re) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (- (sqrt (+ (* im im) (* re re))) re) * [exit]simplify: Simplified to (- (sqrt (+ (* im im) (* re re))) re) * * * * [misc]progress: [ 24 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (* (+ (sqrt (+ (* im im) (* re re))) re) 2.0) * [exit]simplify: Simplified to (* (+ (sqrt (+ (* im im) (* re re))) re) 2.0) * * * * [misc]progress: [ 26 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (sqrt (+ (* im im) (* re re))) re)) (sqrt 2.0)) * [exit]simplify: Simplified to (* (sqrt (+ (sqrt (+ (* im im) (* re re))) re)) (sqrt 2.0)) * * * * [misc]progress: [ 27 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (sqrt 2.0)) (log (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (+ (log (sqrt 2.0)) (log (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) * [exit]simplify: Simplified to (+ (log (sqrt 2.0)) (log (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) * * * * [misc]progress: [ 29 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (log (* (sqrt (+ (sqrt (+ (* im im) (* re re))) re)) (sqrt 2.0))) * [exit]simplify: Simplified to (log (* (sqrt (+ (sqrt (+ (* im im) (* re re))) re)) (sqrt 2.0))) * * * * [misc]progress: [ 30 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (pow (exp (sqrt 2.0)) (sqrt (+ (sqrt (+ (* im im) (* re re))) re))) * [exit]simplify: Simplified to (pow (exp (sqrt 2.0)) (sqrt (+ (sqrt (+ (* im im) (* re re))) re))) * * * * [misc]progress: [ 31 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0)) (* (* (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (202 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (* (+ (sqrt (+ (* re re) (* im im))) re) (* 2.0 (sqrt 2.0)))) * [exit]simplify: Simplified to (* (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (* (+ (sqrt (+ (* re re) (* im im))) re) (* 2.0 (sqrt 2.0)))) * * * * [misc]progress: [ 32 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (cbrt (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (sqrt (+ (* im im) (* re re))) re)) (sqrt 2.0))) (cbrt (* (sqrt (+ (sqrt (+ (* im im) (* re re))) re)) (sqrt 2.0)))) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (sqrt (+ (* im im) (* re re))) re)) (sqrt 2.0))) (cbrt (* (sqrt (+ (sqrt (+ (* im im) (* re re))) re)) (sqrt 2.0)))) * [enter]simplify: Simplifying (cbrt (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (cbrt (* (sqrt (+ (sqrt (+ (* im im) (* re re))) re)) (sqrt 2.0))) * [exit]simplify: Simplified to (cbrt (* (sqrt (+ (sqrt (+ (* im im) (* re re))) re)) (sqrt 2.0))) * * * * [misc]progress: [ 33 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (118 enodes) * * [misc]simplify: iters left: 1 (262 enodes) * [exit]simplify: Simplified to (* (* (* (sqrt 2.0) 2.0) (+ (sqrt (+ (* im im) (* re re))) re)) (sqrt (+ (sqrt (+ (* im im) (* re re))) re))) * [exit]simplify: Simplified to (* (* (* (sqrt 2.0) 2.0) (+ (sqrt (+ (* im im) (* re re))) re)) (sqrt (+ (sqrt (+ (* im im) (* re re))) re))) * * * * [misc]progress: [ 34 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (* (+ (sqrt (+ (* im im) (* re re))) re) 2.0) * [exit]simplify: Simplified to (* (+ (sqrt (+ (* im im) (* re re))) re) 2.0) * * * * [misc]progress: [ 35 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (sqrt (* (sqrt (+ (sqrt (+ (* im im) (* re re))) re)) (sqrt 2.0))) * [exit]simplify: Simplified to (sqrt (* (sqrt (+ (sqrt (+ (* im im) (* re re))) re)) (sqrt 2.0))) * [enter]simplify: Simplifying (sqrt (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (sqrt (* (sqrt (+ (sqrt (+ (* im im) (* re re))) re)) (sqrt 2.0))) * [exit]simplify: Simplified to (sqrt (* (sqrt (+ (sqrt (+ (* im im) (* re re))) re)) (sqrt 2.0))) * * * * [misc]progress: [ 36 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt 2.0) (* (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (* (* (cbrt (sqrt (+ (sqrt (+ (* im im) (* re re))) re))) (sqrt 2.0)) (cbrt (sqrt (+ (sqrt (+ (* im im) (* re re))) re)))) * [exit]simplify: Simplified to (* (* (cbrt (sqrt (+ (sqrt (+ (* im im) (* re re))) re))) (sqrt 2.0)) (cbrt (sqrt (+ (sqrt (+ (* im im) (* re re))) re)))) * * * * [misc]progress: [ 38 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt 2.0) (sqrt (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (* (fabs (cbrt (+ (sqrt (+ (* im im) (* re re))) re))) (sqrt 2.0)) * [exit]simplify: Simplified to (* (fabs (cbrt (+ (sqrt (+ (* im im) (* re re))) re))) (sqrt 2.0)) * * * * [misc]progress: [ 39 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt 2.0) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ (sqrt (+ (* im im) (* re re))) re))) (sqrt 2.0)) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ (sqrt (+ (* im im) (* re re))) re))) (sqrt 2.0)) * * * * [misc]progress: [ 40 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt 2.0) (sqrt 1)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (* (sqrt 1) (sqrt 2.0)) * [exit]simplify: Simplified to (* (sqrt 1) (sqrt 2.0)) * * * * [misc]progress: [ 41 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt 2.0) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ (sqrt (+ (* im im) (* re re))) re))) (sqrt 2.0)) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ (sqrt (+ (* im im) (* re re))) re))) (sqrt 2.0)) * * * * [misc]progress: [ 42 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt 2.0) 1) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: iters left: 1 (9 enodes) * [exit]simplify: Simplified to (sqrt 2.0) * [exit]simplify: Simplified to (sqrt 2.0) * * * * [misc]progress: [ 43 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt 2.0)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt 2.0)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) * [exit]simplify: Simplified to (* (cbrt (sqrt 2.0)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) * * * * [misc]progress: [ 44 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (sqrt 2.0)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt 2.0)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) * [exit]simplify: Simplified to (* (sqrt (sqrt 2.0)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) * * * * [misc]progress: [ 45 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (sqrt (+ (* im im) (* re re))) re)) (sqrt 2.0)) * [exit]simplify: Simplified to (* (sqrt (+ (sqrt (+ (* im im) (* re re))) re)) (sqrt 2.0)) * * * * [misc]progress: [ 46 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt 2.0) (sqrt (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (* (sqrt (+ (* im im) (* re re))) (+ (* im im) (* re re))) (pow re 3))) (sqrt 2.0)) * [exit]simplify: Simplified to (* (sqrt (+ (* (sqrt (+ (* im im) (* re re))) (+ (* im im) (* re re))) (pow re 3))) (sqrt 2.0)) * * * * [misc]progress: [ 47 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt 2.0) (sqrt (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (286 enodes) * [exit]simplify: Simplified to (* (fabs im) (sqrt 2.0)) * [exit]simplify: Simplified to (* (fabs im) (sqrt 2.0)) * * * * [misc]progress: [ 48 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (log (sqrt (+ re (sqrt (+ (* im im) (* re re)))))) * [exit]simplify: Simplified to (log (sqrt (+ re (sqrt (+ (* im im) (* re re)))))) * * * * [misc]progress: [ 52 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (exp (sqrt (+ re (sqrt (+ (* im im) (* re re)))))) * [exit]simplify: Simplified to (exp (sqrt (+ re (sqrt (+ (* im im) (* re re)))))) * * * * [misc]progress: [ 53 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ re (sqrt (+ (* im im) (* re re)))))) (cbrt (sqrt (+ re (sqrt (+ (* im im) (* re re))))))) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ re (sqrt (+ (* im im) (* re re)))))) (cbrt (sqrt (+ re (sqrt (+ (* im im) (* re re))))))) * [enter]simplify: Simplifying (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ re (sqrt (+ (* im im) (* re re)))))) * [exit]simplify: Simplified to (cbrt (sqrt (+ re (sqrt (+ (* im im) (* re re)))))) * * * * [misc]progress: [ 54 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (* (+ re (sqrt (+ (* im im) (* re re)))) (sqrt (+ re (sqrt (+ (* im im) (* re re)))))) * [exit]simplify: Simplified to (* (+ re (sqrt (+ (* im im) (* re re)))) (sqrt (+ re (sqrt (+ (* im im) (* re re)))))) * * * * [misc]progress: [ 55 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (fabs (cbrt (+ re (sqrt (+ (* im im) (* re re)))))) * [exit]simplify: Simplified to (fabs (cbrt (+ re (sqrt (+ (* im im) (* re re)))))) * [enter]simplify: Simplifying (sqrt (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (+ re (sqrt (+ (* im im) (* re re)))))) * [exit]simplify: Simplified to (sqrt (cbrt (+ re (sqrt (+ (* im im) (* re re)))))) * * * * [misc]progress: [ 56 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ re (sqrt (+ (* im im) (* re re)))))) * [exit]simplify: Simplified to (sqrt (sqrt (+ re (sqrt (+ (* im im) (* re re)))))) * [enter]simplify: Simplifying (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ re (sqrt (+ (* im im) (* re re)))))) * [exit]simplify: Simplified to (sqrt (sqrt (+ re (sqrt (+ (* im im) (* re re)))))) * * * * [misc]progress: [ 57 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [exit]simplify: Simplified to (sqrt 1) * [enter]simplify: Simplifying (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (sqrt (+ re (sqrt (+ (* im im) (* re re))))) * [exit]simplify: Simplified to (sqrt (+ re (sqrt (+ (* im im) (* re re))))) * * * * [misc]progress: [ 58 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * [exit]simplify: Simplified to (sqrt (+ (pow re 3) (* (sqrt (+ (* im im) (* re re))) (+ (* im im) (* re re))))) * [exit]simplify: Simplified to (sqrt (+ (pow re 3) (* (sqrt (+ (* im im) (* re re))) (+ (* im im) (* re re))))) * [enter]simplify: Simplifying (sqrt (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (171 enodes) * [exit]simplify: Simplified to (sqrt (- (+ (* re re) (+ (* re re) (* im im))) (* (sqrt (+ (* re re) (* im im))) re))) * [exit]simplify: Simplified to (sqrt (- (+ (* re re) (+ (* re re) (* im im))) (* (sqrt (+ (* re re) (* im im))) re))) * * * * [misc]progress: [ 59 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (98 enodes) * * [misc]simplify: iters left: 1 (305 enodes) * [exit]simplify: Simplified to (fabs im) * [exit]simplify: Simplified to (fabs im) * [enter]simplify: Simplifying (sqrt (- (sqrt (+ (* re re) (* im im))) re)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (sqrt (- (sqrt (+ (* im im) (* re re))) re)) * [exit]simplify: Simplified to (sqrt (- (sqrt (+ (* im im) (* re re))) re)) * * * * [misc]progress: [ 60 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ re (sqrt (+ (* im im) (* re re)))))) * [exit]simplify: Simplified to (sqrt (sqrt (+ re (sqrt (+ (* im im) (* re re)))))) * [enter]simplify: Simplifying (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ re (sqrt (+ (* im im) (* re re)))))) * [exit]simplify: Simplified to (sqrt (sqrt (+ re (sqrt (+ (* im im) (* re re)))))) * * * * [misc]progress: [ 61 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 62 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 63 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* 0.5 (* (sqrt 2.0) (sqrt (+ im re)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (* (sqrt (+ im re)) (* 0.5 (sqrt 2.0))) * * * * [misc]progress: [ 64 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* 0.5 (* (sqrt 2.0) (sqrt (+ re re)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (* (* 0.5 (sqrt 2.0)) (sqrt (+ re re))) * * * * [misc]progress: [ 65 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* 0.5 (* (sqrt 2.0) (sqrt (+ (* -1 re) re)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * [exit]simplify: Simplified to (* 0.5 (* (sqrt 0) (sqrt 2.0))) * * * * [misc]progress: [ 66 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* 0.5 (* (sqrt 2.0) (sqrt (+ im re)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (* (sqrt (+ im re)) (* 0.5 (sqrt 2.0))) * * * * [misc]progress: [ 67 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* 0.5 (* (sqrt 2.0) (sqrt (* 2 re)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (* (sqrt (* 2 re)) (* 0.5 (sqrt 2.0))) * * * * [misc]progress: [ 68 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* 0.5 (* (sqrt 2.0) (sqrt 0))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * [exit]simplify: Simplified to (* (* 0.5 (sqrt 0)) (sqrt 2.0)) * * * * [misc]progress: [ 69 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* 0.5 (- (+ (* +nan.0 (* (sqrt 2.0) (pow re 2))) (- (+ (* +nan.0 (* im (sqrt 2.0))) (- (* +nan.0 (* (sqrt 2.0) re)))))))) * * * * [misc]progress: [ 70 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* 0.5 (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (sqrt 2.0)))))))) * * * * [misc]progress: [ 71 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* 0.5 0) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 72 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* 0.5 (* (sqrt 2.0) (- (+ (* +nan.0 im) (- (+ (* +nan.0 re) (- (* +nan.0 (pow re 2))))))))) * * * * [misc]progress: [ 73 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* 0.5 (* (sqrt 2.0) (- (+ (* +nan.0 (/ 1 re)) (- (+ +nan.0 (- (* +nan.0 (/ 1 (pow re 2)))))))))) * * * * [misc]progress: [ 74 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* 0.5 (* (sqrt 2.0) 0)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to 0 * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 3 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 2 1 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 2 1 1) * [misc]approximate: Taking taylor expansion of (sqrt (+ (* re re) (* im im))) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* re re) (* im im))) in im * [misc]taylor: Taking taylor expansion of (+ (* re re) (* im im)) in im * [misc]taylor: Taking taylor expansion of (* re re) in im * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]taylor: Taking taylor expansion of (* im 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]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 (* re re) into (pow re 2) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow re 2) 0) into (pow re 2) * [misc]backup-simplify: Simplify (sqrt (pow re 2)) into re * [misc]backup-simplify: Simplify (+ (* re 0) (* 0 re)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* re re) (* im im))) in re * [misc]taylor: Taking taylor expansion of (+ (* re re) (* im im)) in re * [misc]taylor: Taking taylor expansion of (* re 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 re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* im im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* im im) into (pow im 2) * [misc]backup-simplify: Simplify (+ 0 (pow im 2)) into (pow im 2) * [misc]backup-simplify: Simplify (sqrt (pow im 2)) into im * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* im 0) (* 0 im)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* re re) (* im im))) in re * [misc]taylor: Taking taylor expansion of (+ (* re re) (* im im)) in re * [misc]taylor: Taking taylor expansion of (* re 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 re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* im im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* im im) into (pow im 2) * [misc]backup-simplify: Simplify (+ 0 (pow im 2)) into (pow im 2) * [misc]backup-simplify: Simplify (sqrt (pow im 2)) into im * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* im 0) (* 0 im)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 * [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]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 1 into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) * [misc]taylor: Taking taylor expansion of (/ 1/2 im) 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 im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 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 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (* im 1)) into im * [misc]approximate: Taking taylor expansion of (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) in im * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im * [misc]taylor: Taking taylor expansion of (* (/ 1 re) (/ 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]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]taylor: Taking taylor expansion of (* (/ 1 im) (/ 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]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 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) in re * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re * [misc]taylor: Taking taylor expansion of (* (/ 1 re) (/ 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]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]taylor: Taking taylor expansion of (* (/ 1 im) (/ 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]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 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) in re * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re * [misc]taylor: Taking taylor expansion of (* (/ 1 re) (/ 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]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]taylor: Taking taylor expansion of (* (/ 1 im) (/ 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]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 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of 1 in im * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) * [misc]backup-simplify: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) * [misc]taylor: Taking taylor expansion of (/ 1/2 (pow im 2)) 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 (pow im 2) in im * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) 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 (* 1 (* 1 (/ 1 (/ 1 re)))) into re * [misc]approximate: Taking taylor expansion of (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) in im * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in im * [misc]taylor: Taking taylor expansion of (* (/ 1 (- re)) (/ 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]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]taylor: Taking taylor expansion of (* (/ 1 (- im)) (/ 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]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 -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) in re * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re * [misc]taylor: Taking taylor expansion of (* (/ 1 (- re)) (/ 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]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]taylor: Taking taylor expansion of (* (/ 1 (- im)) (/ 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]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 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) in re * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re * [misc]taylor: Taking taylor expansion of (* (/ 1 (- re)) (/ 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]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]taylor: Taking taylor expansion of (* (/ 1 (- im)) (/ 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]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 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of 1 in im * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 0 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) * [misc]backup-simplify: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) * [misc]taylor: Taking taylor expansion of (/ 1/2 (pow im 2)) 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 (pow im 2) in im * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) 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 (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) 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 (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 2 1) * [misc]approximate: Taking taylor expansion of (- (sqrt (+ (* re re) (* im im))) re) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (- (sqrt (+ (* re re) (* im im))) re) in im * [misc]taylor: Taking taylor expansion of (sqrt (+ (* re re) (* im im))) in im * [misc]taylor: Taking taylor expansion of (+ (* re re) (* im im)) in im * [misc]taylor: Taking taylor expansion of (* re re) in im * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]taylor: Taking taylor expansion of (* im 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]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 (* re re) into (pow re 2) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow re 2) 0) into (pow re 2) * [misc]backup-simplify: Simplify (sqrt (pow re 2)) into re * [misc]backup-simplify: Simplify (+ (* re 0) (* 0 re)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]taylor: Taking taylor expansion of (- (sqrt (+ (* re re) (* im im))) re) in re * [misc]taylor: Taking taylor expansion of (sqrt (+ (* re re) (* im im))) in re * [misc]taylor: Taking taylor expansion of (+ (* re re) (* im im)) in re * [misc]taylor: Taking taylor expansion of (* re 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 re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* im im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* im im) into (pow im 2) * [misc]backup-simplify: Simplify (+ 0 (pow im 2)) into (pow im 2) * [misc]backup-simplify: Simplify (sqrt (pow im 2)) into im * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* im 0) (* 0 im)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 * [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 (- (sqrt (+ (* re re) (* im im))) re) in re * [misc]taylor: Taking taylor expansion of (sqrt (+ (* re re) (* im im))) in re * [misc]taylor: Taking taylor expansion of (+ (* re re) (* im im)) in re * [misc]taylor: Taking taylor expansion of (* re 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 re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* im im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* im im) into (pow im 2) * [misc]backup-simplify: Simplify (+ 0 (pow im 2)) into (pow im 2) * [misc]backup-simplify: Simplify (sqrt (pow im 2)) into im * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* im 0) (* 0 im)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 * [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 (+ im 0) into 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 (+ 0 -1) into -1 * [misc]taylor: Taking taylor expansion of -1 in im * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 im)) 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 (/ 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 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 * [misc]backup-simplify: Simplify (- 0) 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re) * [misc]approximate: Taking taylor expansion of (- (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (- (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) in im * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) in im * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im * [misc]taylor: Taking taylor expansion of (* (/ 1 re) (/ 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]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]taylor: Taking taylor expansion of (* (/ 1 im) (/ 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]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 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (/ 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]taylor: Taking taylor expansion of (- (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) in re * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) in re * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re * [misc]taylor: Taking taylor expansion of (* (/ 1 re) (/ 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]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]taylor: Taking taylor expansion of (* (/ 1 im) (/ 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]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 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (/ 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]taylor: Taking taylor expansion of (- (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) in re * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) in re * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re * [misc]taylor: Taking taylor expansion of (* (/ 1 re) (/ 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]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]taylor: Taking taylor expansion of (* (/ 1 im) (/ 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]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 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (/ 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 (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) * [misc]backup-simplify: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) 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 (/ 1 (pow im 2)) in im * [misc]taylor: Taking taylor expansion of (pow im 2) in im * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (- (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (- (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) in im * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) in im * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in im * [misc]taylor: Taking taylor expansion of (* (/ 1 (- re)) (/ 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]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]taylor: Taking taylor expansion of (* (/ 1 (- im)) (/ 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]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 -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [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]taylor: Taking taylor expansion of (- (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) in re * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) in re * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re * [misc]taylor: Taking taylor expansion of (* (/ 1 (- re)) (/ 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]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]taylor: Taking taylor expansion of (* (/ 1 (- im)) (/ 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]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 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (/ 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]taylor: Taking taylor expansion of (- (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) in re * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) in re * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re * [misc]taylor: Taking taylor expansion of (* (/ 1 (- re)) (/ 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]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]taylor: Taking taylor expansion of (* (/ 1 (- im)) (/ 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]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 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (/ 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 (- -1) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]taylor: Taking taylor expansion of 2 in im * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) 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 2 into 2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) * [misc]backup-simplify: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) 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 (/ 1 (pow im 2)) in im * [misc]taylor: Taking taylor expansion of (pow im 2) in im * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) 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 (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) 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 (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 1) * [misc]approximate: Taking taylor expansion of (* (fabs im) (sqrt 2.0)) in (im) around 0 * [misc]taylor: Taking taylor expansion of (* (fabs im) (sqrt 2.0)) in im * [misc]taylor: Taking taylor expansion of (fabs im) in im * [misc]backup-simplify: Simplify (fabs im) into (fabs im) * [misc]taylor: Taking taylor expansion of (sqrt 2.0) in im * [misc]taylor: Taking taylor expansion of 2.0 in im * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (sqrt 2.0) into (sqrt 2.0) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 * [misc]taylor: Taking taylor expansion of (* (fabs im) (sqrt 2.0)) in im * [misc]taylor: Taking taylor expansion of (fabs im) in im * [misc]backup-simplify: Simplify (fabs im) into (fabs im) * [misc]taylor: Taking taylor expansion of (sqrt 2.0) in im * [misc]taylor: Taking taylor expansion of 2.0 in im * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (sqrt 2.0) into (sqrt 2.0) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 * [misc]backup-simplify: Simplify (* (fabs im) (sqrt 2.0)) into (* (fabs im) (sqrt 2.0)) * [misc]backup-simplify: Simplify (* (fabs im) (sqrt 2.0)) into (* (fabs im) (sqrt 2.0)) * [misc]backup-simplify: Simplify (+ (* (fabs im) 0) (* 0 (sqrt 2.0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 * [misc]backup-simplify: Simplify (+ (* (fabs im) 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 * [misc]backup-simplify: Simplify (+ (* (fabs im) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 * [misc]backup-simplify: Simplify (+ (* (fabs im) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 * [misc]backup-simplify: Simplify (+ (* (fabs im) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 * [misc]backup-simplify: Simplify (+ (* (fabs im) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (fabs im) (sqrt 2.0)) into (* (fabs im) (sqrt 2.0)) * [misc]approximate: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt 2.0)) in (im) around 0 * [misc]taylor: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt 2.0)) in im * [misc]taylor: Taking taylor expansion of (fabs (/ 1 im)) in im * [misc]backup-simplify: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im)) * [misc]taylor: Taking taylor expansion of (sqrt 2.0) in im * [misc]taylor: Taking taylor expansion of 2.0 in im * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (sqrt 2.0) into (sqrt 2.0) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 * [misc]taylor: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt 2.0)) in im * [misc]taylor: Taking taylor expansion of (fabs (/ 1 im)) in im * [misc]backup-simplify: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im)) * [misc]taylor: Taking taylor expansion of (sqrt 2.0) in im * [misc]taylor: Taking taylor expansion of 2.0 in im * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (sqrt 2.0) into (sqrt 2.0) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 * [misc]backup-simplify: Simplify (* (fabs (/ 1 im)) (sqrt 2.0)) into (* (fabs (/ 1 im)) (sqrt 2.0)) * [misc]backup-simplify: Simplify (* (fabs (/ 1 im)) (sqrt 2.0)) into (* (fabs (/ 1 im)) (sqrt 2.0)) * [misc]backup-simplify: Simplify (+ (* (fabs (/ 1 im)) 0) (* 0 (sqrt 2.0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 * [misc]backup-simplify: Simplify (+ (* (fabs (/ 1 im)) 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 * [misc]backup-simplify: Simplify (+ (* (fabs (/ 1 im)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 * [misc]backup-simplify: Simplify (+ (* (fabs (/ 1 im)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 * [misc]backup-simplify: Simplify (+ (* (fabs (/ 1 im)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 * [misc]backup-simplify: Simplify (+ (* (fabs (/ 1 im)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (fabs (/ 1 (/ 1 im))) (sqrt 2.0)) into (* (fabs im) (sqrt 2.0)) * [misc]approximate: Taking taylor expansion of (* (fabs (/ 1 (- im))) (sqrt 2.0)) in (im) around 0 * [misc]taylor: Taking taylor expansion of (* (fabs (/ 1 (- im))) (sqrt 2.0)) in im * [misc]taylor: Taking taylor expansion of (fabs (/ 1 (- im))) in im * [misc]backup-simplify: Simplify (fabs (/ 1 (- im))) into (fabs (/ -1 im)) * [misc]taylor: Taking taylor expansion of (sqrt 2.0) in im * [misc]taylor: Taking taylor expansion of 2.0 in im * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (sqrt 2.0) into (sqrt 2.0) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 * [misc]taylor: Taking taylor expansion of (* (fabs (/ 1 (- im))) (sqrt 2.0)) in im * [misc]taylor: Taking taylor expansion of (fabs (/ 1 (- im))) in im * [misc]backup-simplify: Simplify (fabs (/ 1 (- im))) into (fabs (/ -1 im)) * [misc]taylor: Taking taylor expansion of (sqrt 2.0) in im * [misc]taylor: Taking taylor expansion of 2.0 in im * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (sqrt 2.0) into (sqrt 2.0) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 * [misc]backup-simplify: Simplify (* (fabs (/ -1 im)) (sqrt 2.0)) into (* (fabs (/ -1 im)) (sqrt 2.0)) * [misc]backup-simplify: Simplify (* (fabs (/ -1 im)) (sqrt 2.0)) into (* (fabs (/ -1 im)) (sqrt 2.0)) * [misc]backup-simplify: Simplify (+ (* (fabs (/ -1 im)) 0) (* 0 (sqrt 2.0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 * [misc]backup-simplify: Simplify (+ (* (fabs (/ -1 im)) 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 * [misc]backup-simplify: Simplify (+ (* (fabs (/ -1 im)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 * [misc]backup-simplify: Simplify (+ (* (fabs (/ -1 im)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 * [misc]backup-simplify: Simplify (+ (* (fabs (/ -1 im)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 * [misc]backup-simplify: Simplify (+ (* (fabs (/ -1 im)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (fabs (/ -1 (/ 1 (- im)))) (sqrt 2.0)) into (* (fabs im) (sqrt 2.0)) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (/ (* (fabs im) (sqrt 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) in (im re) around 0 * [misc]taylor: Taking taylor expansion of (/ (* (fabs im) (sqrt 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) in re * [misc]taylor: Taking taylor expansion of (* (fabs im) (sqrt 2.0)) in re * [misc]taylor: Taking taylor expansion of (fabs im) in re * [misc]backup-simplify: Simplify (fabs im) into (fabs im) * [misc]taylor: Taking taylor expansion of (sqrt 2.0) in re * [misc]taylor: Taking taylor expansion of 2.0 in re * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (sqrt 2.0) into (sqrt 2.0) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (sqrt (+ (* re re) (* im im))) re)) in re * [misc]taylor: Taking taylor expansion of (- (sqrt (+ (* re re) (* im im))) re) in re * [misc]taylor: Taking taylor expansion of (sqrt (+ (* re re) (* im im))) in re * [misc]taylor: Taking taylor expansion of (+ (* re re) (* im im)) in re * [misc]taylor: Taking taylor expansion of (* re 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 re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* im im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* im im) into (pow im 2) * [misc]backup-simplify: Simplify (+ 0 (pow im 2)) into (pow im 2) * [misc]backup-simplify: Simplify (sqrt (pow im 2)) into im * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* im 0) (* 0 im)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 * [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 (+ im 0) into im * [misc]backup-simplify: Simplify (sqrt im) into (sqrt im) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt im))) into (* -1/2 (sqrt (/ 1 im))) * [misc]backup-simplify: Simplify (* (fabs im) (sqrt 2.0)) into (* (fabs im) (sqrt 2.0)) * [misc]backup-simplify: Simplify (/ (* (fabs im) (sqrt 2.0)) (sqrt im)) into (* (* (fabs im) (sqrt 2.0)) (sqrt (/ 1 im))) * [misc]taylor: Taking taylor expansion of (/ (* (fabs im) (sqrt 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) in im * [misc]taylor: Taking taylor expansion of (* (fabs im) (sqrt 2.0)) in im * [misc]taylor: Taking taylor expansion of (fabs im) in im * [misc]backup-simplify: Simplify (fabs im) into (fabs im) * [misc]taylor: Taking taylor expansion of (sqrt 2.0) in im * [misc]taylor: Taking taylor expansion of 2.0 in im * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (sqrt 2.0) into (sqrt 2.0) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (sqrt (+ (* re re) (* im im))) re)) in im * [misc]taylor: Taking taylor expansion of (- (sqrt (+ (* re re) (* im im))) re) in im * [misc]taylor: Taking taylor expansion of (sqrt (+ (* re re) (* im im))) in im * [misc]taylor: Taking taylor expansion of (+ (* re re) (* im im)) in im * [misc]taylor: Taking taylor expansion of (* re re) in im * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]taylor: Taking taylor expansion of (* im 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]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 (* re re) into (pow re 2) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow re 2) 0) into (pow re 2) * [misc]backup-simplify: Simplify (sqrt (pow re 2)) into re * [misc]backup-simplify: Simplify (+ (* re 0) (* 0 re)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 * [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 (- re)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re)) * [misc]backup-simplify: Simplify (sqrt (* 1/2 (/ 1 re))) into (* (sqrt 1/2) (sqrt (/ 1 re))) * [misc]backup-simplify: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* 1/2 (/ 1 re))))) into 0 * [misc]backup-simplify: Simplify (* (fabs im) (sqrt 2.0)) into (* (fabs im) (sqrt 2.0)) * [misc]backup-simplify: Simplify (/ (* (fabs im) (sqrt 2.0)) (* (sqrt 1/2) (sqrt (/ 1 re)))) into (* (/ (* (fabs im) (sqrt 2.0)) (sqrt 1/2)) (sqrt re)) * [misc]taylor: Taking taylor expansion of (/ (* (fabs im) (sqrt 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) in im * [misc]taylor: Taking taylor expansion of (* (fabs im) (sqrt 2.0)) in im * [misc]taylor: Taking taylor expansion of (fabs im) in im * [misc]backup-simplify: Simplify (fabs im) into (fabs im) * [misc]taylor: Taking taylor expansion of (sqrt 2.0) in im * [misc]taylor: Taking taylor expansion of 2.0 in im * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (sqrt 2.0) into (sqrt 2.0) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (sqrt (+ (* re re) (* im im))) re)) in im * [misc]taylor: Taking taylor expansion of (- (sqrt (+ (* re re) (* im im))) re) in im * [misc]taylor: Taking taylor expansion of (sqrt (+ (* re re) (* im im))) in im * [misc]taylor: Taking taylor expansion of (+ (* re re) (* im im)) in im * [misc]taylor: Taking taylor expansion of (* re re) in im * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]taylor: Taking taylor expansion of (* im 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]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 (* re re) into (pow re 2) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow re 2) 0) into (pow re 2) * [misc]backup-simplify: Simplify (sqrt (pow re 2)) into re * [misc]backup-simplify: Simplify (+ (* re 0) (* 0 re)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 * [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 (- re)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re)) * [misc]backup-simplify: Simplify (sqrt (* 1/2 (/ 1 re))) into (* (sqrt 1/2) (sqrt (/ 1 re))) * [misc]backup-simplify: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* 1/2 (/ 1 re))))) into 0 * [misc]backup-simplify: Simplify (* (fabs im) (sqrt 2.0)) into (* (fabs im) (sqrt 2.0)) * [misc]backup-simplify: Simplify (/ (* (fabs im) (sqrt 2.0)) (* (sqrt 1/2) (sqrt (/ 1 re)))) into (* (/ (* (fabs im) (sqrt 2.0)) (sqrt 1/2)) (sqrt re)) * [misc]taylor: Taking taylor expansion of (* (/ (* (fabs im) (sqrt 2.0)) (sqrt 1/2)) (sqrt re)) in re * [misc]taylor: Taking taylor expansion of (/ (* (fabs im) (sqrt 2.0)) (sqrt 1/2)) in re * [misc]taylor: Taking taylor expansion of (* (fabs im) (sqrt 2.0)) in re * [misc]taylor: Taking taylor expansion of (fabs im) in re * [misc]backup-simplify: Simplify (fabs im) into (fabs im) * [misc]taylor: Taking taylor expansion of (sqrt 2.0) in re * [misc]taylor: Taking taylor expansion of 2.0 in re * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (sqrt 2.0) into (sqrt 2.0) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in re * [misc]taylor: Taking taylor expansion of 1/2 in re * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 * [misc]backup-simplify: Simplify (* (fabs im) (sqrt 2.0)) into (* (fabs im) (sqrt 2.0)) * [misc]backup-simplify: Simplify (/ (* (fabs im) (sqrt 2.0)) (sqrt 1/2)) into (/ (* (fabs im) (sqrt 2.0)) (sqrt 1/2)) * [misc]taylor: Taking taylor expansion of (sqrt 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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (* (/ (* (fabs im) (sqrt 2.0)) (sqrt 1/2)) 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (fabs im) 0) (* 0 (sqrt 2.0))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* (sqrt 1/2) (sqrt (/ 1 re)))) (+ (* (* (/ (* (fabs im) (sqrt 2.0)) (sqrt 1/2)) (sqrt re)) (/ 0 (* (sqrt 1/2) (sqrt (/ 1 re))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (fabs im) 0) (* 0 (sqrt 2.0))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 1/2)) (+ (* (/ (* (fabs im) (sqrt 2.0)) (sqrt 1/2)) (/ 0 (sqrt 1/2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (* (fabs im) (sqrt 2.0)) (sqrt 1/2)) +nan.0) (* 0 0)) into (- (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (sqrt 1/2)))) * [misc]backup-simplify: Simplify (- (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (sqrt 1/2)))) into (- (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (sqrt 1/2)))) * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 * [misc]backup-simplify: Simplify (+ (* (fabs im) 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 * [misc]backup-simplify: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 re))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ 1/2 re) 2) (+ (* 2 (* 0 0)))) (* 2 re)) into (/ -1/8 (pow re 3)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ -1/8 (pow re 3)) 0) into (- (* 1/8 (/ 1 (pow re 3)))) * [misc]backup-simplify: Simplify (/ (- (- (* 1/8 (/ 1 (pow re 3)))) (pow 0 2) (+)) (* 2 (* (sqrt 1/2) (sqrt (/ 1 re))))) into (* -1/16 (* (/ 1 (sqrt 1/2)) (sqrt (/ 1 (pow re 5))))) * [misc]backup-simplify: Simplify (- (/ 0 (* (sqrt 1/2) (sqrt (/ 1 re)))) (+ (* (* (/ (* (fabs im) (sqrt 2.0)) (sqrt 1/2)) (sqrt re)) (/ (* -1/16 (* (/ 1 (sqrt 1/2)) (sqrt (/ 1 (pow re 5))))) (* (sqrt 1/2) (sqrt (/ 1 re))))) (* 0 (/ 0 (* (sqrt 1/2) (sqrt (/ 1 re))))))) into (* 1/16 (* (/ (* (fabs im) (sqrt 2.0)) (pow (sqrt 1/2) 3)) (sqrt (/ 1 (pow re 3))))) * [misc]taylor: Taking taylor expansion of (* 1/16 (* (/ (* (fabs im) (sqrt 2.0)) (pow (sqrt 1/2) 3)) (sqrt (/ 1 (pow re 3))))) in re * [misc]taylor: Taking taylor expansion of 1/16 in re * [misc]backup-simplify: Simplify 1/16 into 1/16 * [misc]taylor: Taking taylor expansion of (* (/ (* (fabs im) (sqrt 2.0)) (pow (sqrt 1/2) 3)) (sqrt (/ 1 (pow re 3)))) in re * [misc]taylor: Taking taylor expansion of (/ (* (fabs im) (sqrt 2.0)) (pow (sqrt 1/2) 3)) in re * [misc]taylor: Taking taylor expansion of (* (fabs im) (sqrt 2.0)) in re * [misc]taylor: Taking taylor expansion of (fabs im) in re * [misc]backup-simplify: Simplify (fabs im) into (fabs im) * [misc]taylor: Taking taylor expansion of (sqrt 2.0) in re * [misc]taylor: Taking taylor expansion of 2.0 in re * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (sqrt 2.0) into (sqrt 2.0) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 * [misc]taylor: Taking taylor expansion of (pow (sqrt 1/2) 3) in re * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (sqrt 1/2)))) in re * [misc]taylor: Taking taylor expansion of (* 3 (log (sqrt 1/2))) in re * [misc]taylor: Taking taylor expansion of 3 in re * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (sqrt 1/2)) in re * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in re * [misc]taylor: Taking taylor expansion of 1/2 in re * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 * [misc]backup-simplify: Simplify (log (sqrt 1/2)) into (log (sqrt 1/2)) * [misc]backup-simplify: Simplify (* 3 (log (sqrt 1/2))) into (* 3 (log (sqrt 1/2))) * [misc]backup-simplify: Simplify (exp (* 3 (log (sqrt 1/2)))) into (pow (sqrt 1/2) 3) * [misc]backup-simplify: Simplify (* (fabs im) (sqrt 2.0)) into (* (fabs im) (sqrt 2.0)) * [misc]backup-simplify: Simplify (/ (* (fabs im) (sqrt 2.0)) (pow (sqrt 1/2) 3)) into (/ (* (fabs im) (sqrt 2.0)) (pow (sqrt 1/2) 3)) * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (pow re 3))) in re * [misc]taylor: Taking taylor expansion of (/ 1 (pow re 3)) in re * [misc]taylor: Taking taylor expansion of (pow re 3) in re * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ (* (fabs im) 0) (* 0 (sqrt 2.0))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt 1/2) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (log (sqrt 1/2)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (sqrt 1/2)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (sqrt 1/2) 3)) (+ (* (/ (* (fabs im) (sqrt 2.0)) (pow (sqrt 1/2) 3)) (/ 0 (pow (sqrt 1/2) 3))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 * [misc]backup-simplify: Simplify (+ (* (fabs im) 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt 1/2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt 1/2) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (log (sqrt 1/2))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (sqrt 1/2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (sqrt 1/2) 3)) (+ (* (/ (* (fabs im) (sqrt 2.0)) (pow (sqrt 1/2) 3)) (/ 0 (pow (sqrt 1/2) 3))) (* 0 (/ 0 (pow (sqrt 1/2) 3))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (* (fabs im) (sqrt 2.0)) (pow (sqrt 1/2) 3)) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (pow (sqrt 1/2) 3)))) * [misc]backup-simplify: Simplify (+ (* (/ (* (fabs im) (sqrt 2.0)) (pow (sqrt 1/2) 3)) +nan.0) (* 0 0)) into (- (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (pow (sqrt 1/2) 3)))) * [misc]backup-simplify: Simplify (* (/ (* (fabs im) (sqrt 2.0)) (pow (sqrt 1/2) 3)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/16 (- (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (pow (sqrt 1/2) 3))))) (+ (* 0 (- (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (pow (sqrt 1/2) 3))))) (* 0 0))) into (- (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (pow (sqrt 1/2) 3)))) * [misc]backup-simplify: Simplify (- (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (pow (sqrt 1/2) 3)))) into (- (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (pow (sqrt 1/2) 3)))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 * [misc]backup-simplify: Simplify (+ (* (fabs im) 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 1/2)) (+ (* (/ (* (fabs im) (sqrt 2.0)) (sqrt 1/2)) (/ 0 (sqrt 1/2))) (* 0 (/ 0 (sqrt 1/2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (* (fabs im) (sqrt 2.0)) (sqrt 1/2)) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (sqrt 1/2)))) * [misc]backup-simplify: Simplify (- (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (sqrt 1/2)))) into (- (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (sqrt 1/2)))) * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (sqrt 1/2)))) (* (pow re 2) (/ 1 im))) (+ (* (- (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (pow (sqrt 1/2) 3)))) (* 1 im)) (* (- (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (sqrt 1/2)))) (* re (/ 1 im))))) into (- (+ (* +nan.0 (/ (* (fabs im) (* im (sqrt 2.0))) (pow (sqrt 1/2) 3))) (- (+ (* +nan.0 (/ (* (fabs im) (* (sqrt 2.0) re)) (* (sqrt 1/2) im))) (- (* +nan.0 (/ (* (fabs im) (* (sqrt 2.0) (pow re 2))) (* (sqrt 1/2) im)))))))) * [misc]approximate: Taking taylor expansion of (/ (* (fabs (/ 1 im)) (sqrt 2.0)) (sqrt (- (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)))) in (im re) around 0 * [misc]taylor: Taking taylor expansion of (/ (* (fabs (/ 1 im)) (sqrt 2.0)) (sqrt (- (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)))) in re * [misc]taylor: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt 2.0)) in re * [misc]taylor: Taking taylor expansion of (fabs (/ 1 im)) in re * [misc]backup-simplify: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im)) * [misc]taylor: Taking taylor expansion of (sqrt 2.0) in re * [misc]taylor: Taking taylor expansion of 2.0 in re * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (sqrt 2.0) into (sqrt 2.0) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re))) in re * [misc]taylor: Taking taylor expansion of (- (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) in re * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) in re * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re * [misc]taylor: Taking taylor expansion of (* (/ 1 re) (/ 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]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]taylor: Taking taylor expansion of (* (/ 1 im) (/ 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]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 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (/ 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 (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) * [misc]backup-simplify: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) * [misc]backup-simplify: Simplify (* (fabs (/ 1 im)) (sqrt 2.0)) into (* (fabs (/ 1 im)) (sqrt 2.0)) * [misc]backup-simplify: Simplify (/ (* (fabs (/ 1 im)) (sqrt 2.0)) (/ +nan.0 (pow im 2))) into (* +nan.0 (* (fabs (/ 1 im)) (* (pow im 2) (sqrt 2.0)))) * [misc]taylor: Taking taylor expansion of (/ (* (fabs (/ 1 im)) (sqrt 2.0)) (sqrt (- (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)))) in im * [misc]taylor: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt 2.0)) in im * [misc]taylor: Taking taylor expansion of (fabs (/ 1 im)) in im * [misc]backup-simplify: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im)) * [misc]taylor: Taking taylor expansion of (sqrt 2.0) in im * [misc]taylor: Taking taylor expansion of 2.0 in im * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (sqrt 2.0) into (sqrt 2.0) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re))) in im * [misc]taylor: Taking taylor expansion of (- (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) in im * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) in im * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im * [misc]taylor: Taking taylor expansion of (* (/ 1 re) (/ 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]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]taylor: Taking taylor expansion of (* (/ 1 im) (/ 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]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 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (/ 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 (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (* (fabs (/ 1 im)) (sqrt 2.0)) into (* (fabs (/ 1 im)) (sqrt 2.0)) * [misc]backup-simplify: Simplify (/ (* (fabs (/ 1 im)) (sqrt 2.0)) +nan.0) into (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) * [misc]taylor: Taking taylor expansion of (/ (* (fabs (/ 1 im)) (sqrt 2.0)) (sqrt (- (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)))) in im * [misc]taylor: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt 2.0)) in im * [misc]taylor: Taking taylor expansion of (fabs (/ 1 im)) in im * [misc]backup-simplify: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im)) * [misc]taylor: Taking taylor expansion of (sqrt 2.0) in im * [misc]taylor: Taking taylor expansion of 2.0 in im * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (sqrt 2.0) into (sqrt 2.0) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re))) in im * [misc]taylor: Taking taylor expansion of (- (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) in im * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) in im * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im * [misc]taylor: Taking taylor expansion of (* (/ 1 re) (/ 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]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]taylor: Taking taylor expansion of (* (/ 1 im) (/ 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]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 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (/ 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 (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (* (fabs (/ 1 im)) (sqrt 2.0)) into (* (fabs (/ 1 im)) (sqrt 2.0)) * [misc]backup-simplify: Simplify (/ (* (fabs (/ 1 im)) (sqrt 2.0)) +nan.0) into (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) in re * [misc]taylor: Taking taylor expansion of +nan.0 in re * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt 2.0)) in re * [misc]taylor: Taking taylor expansion of (fabs (/ 1 im)) in re * [misc]backup-simplify: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im)) * [misc]taylor: Taking taylor expansion of (sqrt 2.0) in re * [misc]taylor: Taking taylor expansion of 2.0 in re * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (sqrt 2.0) into (sqrt 2.0) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 * [misc]backup-simplify: Simplify (+ (* (fabs (/ 1 im)) 0) (* 0 (sqrt 2.0))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 re)) into (- (/ 1 re)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 re))) into (- (/ 1 re)) * [misc]backup-simplify: Simplify (/ (- (- (/ 1 re)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ (/ 1 re) (- +nan.0))) * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) (/ (* +nan.0 (+ (/ 1 re) (- +nan.0))) +nan.0)))) into (- (+ (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) (- (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re))))) * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) (- (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re))))) in re * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) (- (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re)))) in re * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) in re * [misc]taylor: Taking taylor expansion of +nan.0 in re * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt 2.0)) in re * [misc]taylor: Taking taylor expansion of (fabs (/ 1 im)) in re * [misc]backup-simplify: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im)) * [misc]taylor: Taking taylor expansion of (sqrt 2.0) in re * [misc]taylor: Taking taylor expansion of 2.0 in re * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (sqrt 2.0) into (sqrt 2.0) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re))) in re * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re)) in re * [misc]taylor: Taking taylor expansion of +nan.0 in re * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re) in re * [misc]taylor: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt 2.0)) in re * [misc]taylor: Taking taylor expansion of (fabs (/ 1 im)) in re * [misc]backup-simplify: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im)) * [misc]taylor: Taking taylor expansion of (sqrt 2.0) in re * [misc]taylor: Taking taylor expansion of 2.0 in re * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (sqrt 2.0) into (sqrt 2.0) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 * [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 (* (fabs (/ 1 im)) (sqrt 2.0)) into (* (fabs (/ 1 im)) (sqrt 2.0)) * [misc]backup-simplify: Simplify (/ (* (fabs (/ 1 im)) (sqrt 2.0)) 1) into (* (fabs (/ 1 im)) (sqrt 2.0)) * [misc]backup-simplify: Simplify (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) into (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) * [misc]backup-simplify: Simplify (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) into (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) * [misc]backup-simplify: Simplify (+ 0 (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))))) into (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))))) into (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) * [misc]backup-simplify: Simplify (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) into (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) * [misc]backup-simplify: Simplify (* (fabs (/ 1 im)) (sqrt 2.0)) into (* (fabs (/ 1 im)) (sqrt 2.0)) * [misc]backup-simplify: Simplify (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) into (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) * [misc]backup-simplify: Simplify (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) into (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 * [misc]backup-simplify: Simplify (+ (* (fabs (/ 1 im)) 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 re) (/ 1 re)) into (/ 1 (pow re 2)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2)) * [misc]backup-simplify: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1/2 (pow re 2)) 0) into (* 1/2 (/ 1 (pow re 2))) * [misc]backup-simplify: Simplify (/ (- (* 1/2 (/ 1 (pow re 2))) (+ (* 2 (* +nan.0 (* +nan.0 (+ (/ 1 re) (- +nan.0))))))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0)))) * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) (/ (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0)))) +nan.0)) (* (- (+ (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) (- (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re))))) (/ (* +nan.0 (+ (/ 1 re) (- +nan.0))) +nan.0)))) into (- (+ (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) (pow re 2))) (- (+ (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) (- (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re))))))) * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) (pow re 2))) (- (+ (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) (- (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re))))))) in re * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) (pow re 2))) (- (+ (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) (- (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re)))))) in re * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) (pow re 2))) in re * [misc]taylor: Taking taylor expansion of +nan.0 in re * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (/ (* (fabs (/ 1 im)) (sqrt 2.0)) (pow re 2)) in re * [misc]taylor: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt 2.0)) in re * [misc]taylor: Taking taylor expansion of (fabs (/ 1 im)) in re * [misc]backup-simplify: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im)) * [misc]taylor: Taking taylor expansion of (sqrt 2.0) in re * [misc]taylor: Taking taylor expansion of 2.0 in re * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (sqrt 2.0) into (sqrt 2.0) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 * [misc]taylor: Taking taylor expansion of (pow re 2) in re * [misc]backup-simplify: Simplify (* (fabs (/ 1 im)) (sqrt 2.0)) into (* (fabs (/ 1 im)) (sqrt 2.0)) * [misc]backup-simplify: Simplify (/ (* (fabs (/ 1 im)) (sqrt 2.0)) 1) into (* (fabs (/ 1 im)) (sqrt 2.0)) * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) (- (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re))))) in re * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) (- (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re)))) in re * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) in re * [misc]taylor: Taking taylor expansion of +nan.0 in re * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt 2.0)) in re * [misc]taylor: Taking taylor expansion of (fabs (/ 1 im)) in re * [misc]backup-simplify: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im)) * [misc]taylor: Taking taylor expansion of (sqrt 2.0) in re * [misc]taylor: Taking taylor expansion of 2.0 in re * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (sqrt 2.0) into (sqrt 2.0) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re))) in re * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re)) in re * [misc]taylor: Taking taylor expansion of +nan.0 in re * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re) in re * [misc]taylor: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt 2.0)) in re * [misc]taylor: Taking taylor expansion of (fabs (/ 1 im)) in re * [misc]backup-simplify: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im)) * [misc]taylor: Taking taylor expansion of (sqrt 2.0) in re * [misc]taylor: Taking taylor expansion of 2.0 in re * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (sqrt 2.0) into (sqrt 2.0) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 * [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 (* (fabs (/ 1 im)) (sqrt 2.0)) into (* (fabs (/ 1 im)) (sqrt 2.0)) * [misc]backup-simplify: Simplify (/ (* (fabs (/ 1 im)) (sqrt 2.0)) 1) into (* (fabs (/ 1 im)) (sqrt 2.0)) * [misc]backup-simplify: Simplify (+ (* (fabs (/ 1 im)) 0) (* 0 (sqrt 2.0))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* (fabs (/ 1 im)) (sqrt 2.0)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (* (fabs (/ 1 im)) (sqrt 2.0)))) into 0 * [misc]backup-simplify: Simplify (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) into (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) * [misc]backup-simplify: Simplify (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) into (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) * [misc]backup-simplify: Simplify (+ 0 (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))))) into (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))))) into (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) * [misc]backup-simplify: Simplify (+ 0 (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))))) into (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))))) into (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) * [misc]backup-simplify: Simplify (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) into (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (* (fabs (/ 1 (/ 1 im))) (sqrt 2.0)))) (* (/ 1 (/ 1 re)) (pow (/ 1 im) 2))) (+ (* +nan.0 (* (fabs (/ 1 (/ 1 im))) (sqrt 2.0))) (* (- (* +nan.0 (* (fabs (/ 1 (/ 1 im))) (sqrt 2.0)))) (* (/ 1 (/ 1 re)) (/ 1 im))))) into (- (+ (* +nan.0 (* (fabs im) (sqrt 2.0))) (- (+ (* +nan.0 (/ (* (fabs im) (* (sqrt 2.0) re)) im)) (- (* +nan.0 (/ (* (fabs im) (* (sqrt 2.0) re)) (pow im 2)))))))) * [misc]approximate: Taking taylor expansion of (/ (* (fabs (/ 1 (- im))) (sqrt 2.0)) (sqrt (- (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))))) in (im re) around 0 * [misc]taylor: Taking taylor expansion of (/ (* (fabs (/ 1 (- im))) (sqrt 2.0)) (sqrt (- (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))))) in re * [misc]taylor: Taking taylor expansion of (* (fabs (/ 1 (- im))) (sqrt 2.0)) in re * [misc]taylor: Taking taylor expansion of (fabs (/ 1 (- im))) in re * [misc]backup-simplify: Simplify (fabs (/ 1 (- im))) into (fabs (/ -1 im)) * [misc]taylor: Taking taylor expansion of (sqrt 2.0) in re * [misc]taylor: Taking taylor expansion of 2.0 in re * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (sqrt 2.0) into (sqrt 2.0) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re)))) in re * [misc]taylor: Taking taylor expansion of (- (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) in re * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) in re * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re * [misc]taylor: Taking taylor expansion of (* (/ 1 (- re)) (/ 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]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]taylor: Taking taylor expansion of (* (/ 1 (- im)) (/ 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]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 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (/ 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 (- -1) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (* (fabs (/ -1 im)) (sqrt 2.0)) into (* (fabs (/ -1 im)) (sqrt 2.0)) * [misc]backup-simplify: Simplify (/ (* (fabs (/ -1 im)) (sqrt 2.0)) +nan.0) into (* +nan.0 (* (fabs (/ -1 im)) (sqrt 2.0))) * [misc]taylor: Taking taylor expansion of (/ (* (fabs (/ 1 (- im))) (sqrt 2.0)) (sqrt (- (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))))) in im * [misc]taylor: Taking taylor expansion of (* (fabs (/ 1 (- im))) (sqrt 2.0)) in im * [misc]taylor: Taking taylor expansion of (fabs (/ 1 (- im))) in im * [misc]backup-simplify: Simplify (fabs (/ 1 (- im))) into (fabs (/ -1 im)) * [misc]taylor: Taking taylor expansion of (sqrt 2.0) in im * [misc]taylor: Taking taylor expansion of 2.0 in im * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (sqrt 2.0) into (sqrt 2.0) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re)))) in im * [misc]taylor: Taking taylor expansion of (- (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) in im * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) in im * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in im * [misc]taylor: Taking taylor expansion of (* (/ 1 (- re)) (/ 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]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]taylor: Taking taylor expansion of (* (/ 1 (- im)) (/ 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]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 -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [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 (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (* (fabs (/ -1 im)) (sqrt 2.0)) into (* (fabs (/ -1 im)) (sqrt 2.0)) * [misc]backup-simplify: Simplify (/ (* (fabs (/ -1 im)) (sqrt 2.0)) +nan.0) into (* +nan.0 (* (fabs (/ -1 im)) (sqrt 2.0))) * [misc]taylor: Taking taylor expansion of (/ (* (fabs (/ 1 (- im))) (sqrt 2.0)) (sqrt (- (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))))) in im * [misc]taylor: Taking taylor expansion of (* (fabs (/ 1 (- im))) (sqrt 2.0)) in im * [misc]taylor: Taking taylor expansion of (fabs (/ 1 (- im))) in im * [misc]backup-simplify: Simplify (fabs (/ 1 (- im))) into (fabs (/ -1 im)) * [misc]taylor: Taking taylor expansion of (sqrt 2.0) in im * [misc]taylor: Taking taylor expansion of 2.0 in im * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (sqrt 2.0) into (sqrt 2.0) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re)))) in im * [misc]taylor: Taking taylor expansion of (- (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) in im * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) in im * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in im * [misc]taylor: Taking taylor expansion of (* (/ 1 (- re)) (/ 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]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]taylor: Taking taylor expansion of (* (/ 1 (- im)) (/ 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]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 -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [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 (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (* (fabs (/ -1 im)) (sqrt 2.0)) into (* (fabs (/ -1 im)) (sqrt 2.0)) * [misc]backup-simplify: Simplify (/ (* (fabs (/ -1 im)) (sqrt 2.0)) +nan.0) into (* +nan.0 (* (fabs (/ -1 im)) (sqrt 2.0))) * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (fabs (/ -1 im)) (sqrt 2.0))) in re * [misc]taylor: Taking taylor expansion of +nan.0 in re * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (* (fabs (/ -1 im)) (sqrt 2.0)) in re * [misc]taylor: Taking taylor expansion of (fabs (/ -1 im)) in re * [misc]backup-simplify: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im)) * [misc]taylor: Taking taylor expansion of (sqrt 2.0) in re * [misc]taylor: Taking taylor expansion of 2.0 in re * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (sqrt 2.0) into (sqrt 2.0) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 * [misc]backup-simplify: Simplify (* (fabs (/ -1 im)) (sqrt 2.0)) into (* (fabs (/ -1 im)) (sqrt 2.0)) * [misc]backup-simplify: Simplify (* +nan.0 (* (fabs (/ -1 im)) (sqrt 2.0))) into (* +nan.0 (* (fabs (/ -1 im)) (sqrt 2.0))) * [misc]backup-simplify: Simplify (* +nan.0 (* (fabs (/ -1 im)) (sqrt 2.0))) into (* +nan.0 (* (fabs (/ -1 im)) (sqrt 2.0))) * [misc]backup-simplify: Simplify (+ (* (fabs (/ -1 im)) 0) (* 0 (sqrt 2.0))) into 0 * [misc]backup-simplify: Simplify (- (/ -1 re)) into (/ 1 re) * [misc]backup-simplify: Simplify (+ 0 (/ 1 re)) into (/ 1 re) * [misc]backup-simplify: Simplify (/ (- (/ 1 re) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (/ 1 re) +nan.0)) * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (fabs (/ -1 im)) (sqrt 2.0))) (/ (* +nan.0 (- (/ 1 re) +nan.0)) +nan.0)))) into (- (+ (* +nan.0 (/ (* (fabs (/ -1 im)) (sqrt 2.0)) re)) (- (* +nan.0 (* (fabs (/ -1 im)) (sqrt 2.0)))))) * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (/ (* (fabs (/ -1 im)) (sqrt 2.0)) re)) (- (* +nan.0 (* (fabs (/ -1 im)) (sqrt 2.0)))))) in re * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (/ (* (fabs (/ -1 im)) (sqrt 2.0)) re)) (- (* +nan.0 (* (fabs (/ -1 im)) (sqrt 2.0))))) in re * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (* (fabs (/ -1 im)) (sqrt 2.0)) re)) in re * [misc]taylor: Taking taylor expansion of +nan.0 in re * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (/ (* (fabs (/ -1 im)) (sqrt 2.0)) re) in re * [misc]taylor: Taking taylor expansion of (* (fabs (/ -1 im)) (sqrt 2.0)) in re * [misc]taylor: Taking taylor expansion of (fabs (/ -1 im)) in re * [misc]backup-simplify: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im)) * [misc]taylor: Taking taylor expansion of (sqrt 2.0) in re * [misc]taylor: Taking taylor expansion of 2.0 in re * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (sqrt 2.0) into (sqrt 2.0) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 * [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 (* (fabs (/ -1 im)) (sqrt 2.0)) into (* (fabs (/ -1 im)) (sqrt 2.0)) * [misc]backup-simplify: Simplify (/ (* (fabs (/ -1 im)) (sqrt 2.0)) 1) into (* (fabs (/ -1 im)) (sqrt 2.0)) * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (fabs (/ -1 im)) (sqrt 2.0)))) in re * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (fabs (/ -1 im)) (sqrt 2.0))) in re * [misc]taylor: Taking taylor expansion of +nan.0 in re * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (* (fabs (/ -1 im)) (sqrt 2.0)) in re * [misc]taylor: Taking taylor expansion of (fabs (/ -1 im)) in re * [misc]backup-simplify: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im)) * [misc]taylor: Taking taylor expansion of (sqrt 2.0) in re * [misc]taylor: Taking taylor expansion of 2.0 in re * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (sqrt 2.0) into (sqrt 2.0) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 * [misc]backup-simplify: Simplify (+ (* (fabs (/ -1 im)) 0) (* 0 (sqrt 2.0))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* (fabs (/ -1 im)) (sqrt 2.0)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (* (fabs (/ -1 im)) (sqrt 2.0)))) into 0 * [misc]backup-simplify: Simplify (* (fabs (/ -1 im)) (sqrt 2.0)) into (* (fabs (/ -1 im)) (sqrt 2.0)) * [misc]backup-simplify: Simplify (* +nan.0 (* (fabs (/ -1 im)) (sqrt 2.0))) into (* +nan.0 (* (fabs (/ -1 im)) (sqrt 2.0))) * [misc]backup-simplify: Simplify (- (* +nan.0 (* (fabs (/ -1 im)) (sqrt 2.0)))) into (- (* +nan.0 (* (fabs (/ -1 im)) (sqrt 2.0)))) * [misc]backup-simplify: Simplify (+ 0 (- (* +nan.0 (* (fabs (/ -1 im)) (sqrt 2.0))))) into (- (* +nan.0 (* (fabs (/ -1 im)) (sqrt 2.0)))) * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (fabs (/ -1 im)) (sqrt 2.0))))) into (- (* +nan.0 (* (fabs (/ -1 im)) (sqrt 2.0)))) * [misc]backup-simplify: Simplify (- (* +nan.0 (* (fabs (/ -1 im)) (sqrt 2.0)))) into (- (* +nan.0 (* (fabs (/ -1 im)) (sqrt 2.0)))) * [misc]backup-simplify: Simplify (+ (* (fabs (/ -1 im)) 0) (* 0 (sqrt 2.0))) into 0 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (* (fabs (/ -1 im)) (sqrt 2.0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 * [misc]backup-simplify: Simplify (+ (* (fabs (/ -1 im)) 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 re) (/ -1 re)) into (/ 1 (pow re 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2)) * [misc]backup-simplify: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) * [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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1/2 (pow re 2)) 0) into (* 1/2 (/ 1 (pow re 2))) * [misc]backup-simplify: Simplify (/ (- (* 1/2 (/ 1 (pow re 2))) (+ (* 2 (* +nan.0 (* +nan.0 (- (/ 1 re) +nan.0)))))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0)))) * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (fabs (/ -1 im)) (sqrt 2.0))) (/ (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0)))) +nan.0)) (* (- (+ (* +nan.0 (/ (* (fabs (/ -1 im)) (sqrt 2.0)) re)) (- (* +nan.0 (* (fabs (/ -1 im)) (sqrt 2.0)))))) (/ (* +nan.0 (- (/ 1 re) +nan.0)) +nan.0)))) into (- (+ (* +nan.0 (/ (* (fabs (/ -1 im)) (sqrt 2.0)) (pow re 2))) (- (+ (* +nan.0 (/ (* (fabs (/ -1 im)) (sqrt 2.0)) re)) (- (* +nan.0 (* (fabs (/ -1 im)) (sqrt 2.0)))))))) * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (/ (* (fabs (/ -1 im)) (sqrt 2.0)) (pow re 2))) (- (+ (* +nan.0 (/ (* (fabs (/ -1 im)) (sqrt 2.0)) re)) (- (* +nan.0 (* (fabs (/ -1 im)) (sqrt 2.0)))))))) in re * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (/ (* (fabs (/ -1 im)) (sqrt 2.0)) (pow re 2))) (- (+ (* +nan.0 (/ (* (fabs (/ -1 im)) (sqrt 2.0)) re)) (- (* +nan.0 (* (fabs (/ -1 im)) (sqrt 2.0))))))) in re * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (* (fabs (/ -1 im)) (sqrt 2.0)) (pow re 2))) in re * [misc]taylor: Taking taylor expansion of +nan.0 in re * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (/ (* (fabs (/ -1 im)) (sqrt 2.0)) (pow re 2)) in re * [misc]taylor: Taking taylor expansion of (* (fabs (/ -1 im)) (sqrt 2.0)) in re * [misc]taylor: Taking taylor expansion of (fabs (/ -1 im)) in re * [misc]backup-simplify: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im)) * [misc]taylor: Taking taylor expansion of (sqrt 2.0) in re * [misc]taylor: Taking taylor expansion of 2.0 in re * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (sqrt 2.0) into (sqrt 2.0) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 * [misc]taylor: Taking taylor expansion of (pow re 2) in re * [misc]backup-simplify: Simplify (* (fabs (/ -1 im)) (sqrt 2.0)) into (* (fabs (/ -1 im)) (sqrt 2.0)) * [misc]backup-simplify: Simplify (/ (* (fabs (/ -1 im)) (sqrt 2.0)) 1) into (* (fabs (/ -1 im)) (sqrt 2.0)) * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (/ (* (fabs (/ -1 im)) (sqrt 2.0)) re)) (- (* +nan.0 (* (fabs (/ -1 im)) (sqrt 2.0)))))) in re * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (/ (* (fabs (/ -1 im)) (sqrt 2.0)) re)) (- (* +nan.0 (* (fabs (/ -1 im)) (sqrt 2.0))))) in re * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (* (fabs (/ -1 im)) (sqrt 2.0)) re)) in re * [misc]taylor: Taking taylor expansion of +nan.0 in re * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (/ (* (fabs (/ -1 im)) (sqrt 2.0)) re) in re * [misc]taylor: Taking taylor expansion of (* (fabs (/ -1 im)) (sqrt 2.0)) in re * [misc]taylor: Taking taylor expansion of (fabs (/ -1 im)) in re * [misc]backup-simplify: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im)) * [misc]taylor: Taking taylor expansion of (sqrt 2.0) in re * [misc]taylor: Taking taylor expansion of 2.0 in re * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (sqrt 2.0) into (sqrt 2.0) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 * [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 (* (fabs (/ -1 im)) (sqrt 2.0)) into (* (fabs (/ -1 im)) (sqrt 2.0)) * [misc]backup-simplify: Simplify (/ (* (fabs (/ -1 im)) (sqrt 2.0)) 1) into (* (fabs (/ -1 im)) (sqrt 2.0)) * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (fabs (/ -1 im)) (sqrt 2.0)))) in re * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (fabs (/ -1 im)) (sqrt 2.0))) in re * [misc]taylor: Taking taylor expansion of +nan.0 in re * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (* (fabs (/ -1 im)) (sqrt 2.0)) in re * [misc]taylor: Taking taylor expansion of (fabs (/ -1 im)) in re * [misc]backup-simplify: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im)) * [misc]taylor: Taking taylor expansion of (sqrt 2.0) in re * [misc]taylor: Taking taylor expansion of 2.0 in re * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (sqrt 2.0) into (sqrt 2.0) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 * [misc]backup-simplify: Simplify (+ (* (fabs (/ -1 im)) 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 * [misc]backup-simplify: Simplify (+ (* (fabs (/ -1 im)) 0) (* 0 (sqrt 2.0))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* (fabs (/ -1 im)) (sqrt 2.0)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* (fabs (/ -1 im)) (sqrt 2.0)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (* (fabs (/ -1 im)) (sqrt 2.0))))) into 0 * [misc]backup-simplify: Simplify (+ (* (fabs (/ -1 im)) 0) (* 0 (sqrt 2.0))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* (fabs (/ -1 im)) (sqrt 2.0)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (* (fabs (/ -1 im)) (sqrt 2.0)))) into 0 * [misc]backup-simplify: Simplify (* (fabs (/ -1 im)) (sqrt 2.0)) into (* (fabs (/ -1 im)) (sqrt 2.0)) * [misc]backup-simplify: Simplify (* +nan.0 (* (fabs (/ -1 im)) (sqrt 2.0))) into (* +nan.0 (* (fabs (/ -1 im)) (sqrt 2.0))) * [misc]backup-simplify: Simplify (- (* +nan.0 (* (fabs (/ -1 im)) (sqrt 2.0)))) into (- (* +nan.0 (* (fabs (/ -1 im)) (sqrt 2.0)))) * [misc]backup-simplify: Simplify (+ 0 (- (* +nan.0 (* (fabs (/ -1 im)) (sqrt 2.0))))) into (- (* +nan.0 (* (fabs (/ -1 im)) (sqrt 2.0)))) * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (fabs (/ -1 im)) (sqrt 2.0))))) into (- (* +nan.0 (* (fabs (/ -1 im)) (sqrt 2.0)))) * [misc]backup-simplify: Simplify (+ 0 (- (* +nan.0 (* (fabs (/ -1 im)) (sqrt 2.0))))) into (- (* +nan.0 (* (fabs (/ -1 im)) (sqrt 2.0)))) * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (fabs (/ -1 im)) (sqrt 2.0))))) into (- (* +nan.0 (* (fabs (/ -1 im)) (sqrt 2.0)))) * [misc]backup-simplify: Simplify (- (* +nan.0 (* (fabs (/ -1 im)) (sqrt 2.0)))) into (- (* +nan.0 (* (fabs (/ -1 im)) (sqrt 2.0)))) * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (* (fabs (/ -1 (/ 1 (- im)))) (sqrt 2.0)))) (pow (* 1 (/ 1 (- im))) 2)) (+ (* (- (* +nan.0 (* (fabs (/ -1 (/ 1 (- im)))) (sqrt 2.0)))) (* 1 (/ 1 (- im)))) (* +nan.0 (* (fabs (/ -1 (/ 1 (- im)))) (sqrt 2.0))))) into (- (+ (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (pow im 2))) (- (+ (* +nan.0 (* (fabs im) (sqrt 2.0))) (- (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) im))))))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (+ (* re re) (* im im)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (log (sqrt (+ (* im im) (* re re)))) * [exit]simplify: Simplified to (log (sqrt (+ (* im im) (* re re)))) * * * * [misc]progress: [ 4 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (+ (* re re) (* im im)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (exp (sqrt (+ (* im im) (* re re)))) * [exit]simplify: Simplified to (exp (sqrt (+ (* im im) (* re re)))) * * * * [misc]progress: [ 5 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ (* im im) (* re re)))) (cbrt (sqrt (+ (* im im) (* re re))))) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ (* im im) (* re re)))) (cbrt (sqrt (+ (* im im) (* re re))))) * [enter]simplify: Simplifying (cbrt (sqrt (+ (* re re) (* im im)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ (* im im) (* re re)))) * [exit]simplify: Simplified to (cbrt (sqrt (+ (* im im) (* re re)))) * * * * [misc]progress: [ 6 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * [exit]simplify: Simplified to (* (+ (* im im) (* re re)) (sqrt (+ (* im im) (* re re)))) * [exit]simplify: Simplified to (* (+ (* im im) (* re re)) (sqrt (+ (* im im) (* re re)))) * * * * [misc]progress: [ 7 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (fabs (cbrt (+ (* im im) (* re re)))) * [exit]simplify: Simplified to (fabs (cbrt (+ (* im im) (* re re)))) * [enter]simplify: Simplifying (sqrt (cbrt (+ (* re re) (* im im)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (+ (* im im) (* re re)))) * [exit]simplify: Simplified to (sqrt (cbrt (+ (* im im) (* re re)))) * * * * [misc]progress: [ 8 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ (* re re) (* im im)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* im im) (* re re)))) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* im im) (* re re)))) * [enter]simplify: Simplifying (sqrt (sqrt (+ (* re re) (* im im)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* im im) (* re re)))) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* im im) (* re re)))) * * * * [misc]progress: [ 9 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [exit]simplify: Simplified to (sqrt 1) * [enter]simplify: Simplifying (sqrt (+ (* re re) (* im im))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (sqrt (+ (* im im) (* re re))) * [exit]simplify: Simplified to (sqrt (+ (* im im) (* re re))) * * * * [misc]progress: [ 10 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (pow im 3) (pow im 3)) (pow (* re re) 3))) * [exit]simplify: Simplified to (sqrt (+ (* (pow im 3) (pow im 3)) (pow (* re re) 3))) * [enter]simplify: Simplifying (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (134 enodes) * * [misc]simplify: iters left: 2 (235 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (- (* re re) (* im im)) (* re re)) (* (* im im) (* im im)))) * [exit]simplify: Simplified to (sqrt (+ (* (- (* re re) (* im im)) (* re re)) (* (* im im) (* im im)))) * * * * [misc]progress: [ 11 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (172 enodes) * [exit]simplify: Simplified to (sqrt (* (+ (* re re) (* im im)) (- (* re re) (* im im)))) * [exit]simplify: Simplified to (sqrt (* (+ (* re re) (* im im)) (- (* re re) (* im im)))) * [enter]simplify: Simplifying (sqrt (- (* re re) (* im im))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (sqrt (* (- re im) (+ re im))) * [exit]simplify: Simplified to (sqrt (* (- re im) (+ re im))) * * * * [misc]progress: [ 12 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ (* re re) (* im im)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* im im) (* re re)))) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* im im) (* re re)))) * [enter]simplify: Simplifying (sqrt (sqrt (+ (* re re) (* im im)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* im im) (* re re)))) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* im im) (* re re)))) * * * * [misc]progress: [ 13 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (sqrt (+ (* re re) (* im im))) re)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (log (- (sqrt (+ (* im im) (* re re))) re)) * [exit]simplify: Simplified to (log (- (sqrt (+ (* im im) (* re re))) re)) * * * * [misc]progress: [ 17 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (- (sqrt (+ (* re re) (* im im))) re)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (exp (- (sqrt (+ (* im im) (* re re))) re)) * [exit]simplify: Simplified to (exp (- (sqrt (+ (* im im) (* re re))) re)) * * * * [misc]progress: [ 18 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (* (cbrt (- (sqrt (+ (* im im) (* re re))) re)) (cbrt (- (sqrt (+ (* im im) (* re re))) re))) * [exit]simplify: Simplified to (* (cbrt (- (sqrt (+ (* im im) (* re re))) re)) (cbrt (- (sqrt (+ (* im im) (* re re))) re))) * [enter]simplify: Simplifying (cbrt (- (sqrt (+ (* re re) (* im im))) re)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (cbrt (- (sqrt (+ (* im im) (* re re))) re)) * [exit]simplify: Simplified to (cbrt (- (sqrt (+ (* im im) (* re re))) re)) * * * * [misc]progress: [ 19 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (sqrt (+ (* re re) (* im im))) re) (- (sqrt (+ (* re re) (* im im))) re)) (- (sqrt (+ (* re re) (* im im))) re)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (274 enodes) * [exit]simplify: Simplified to (pow (- (sqrt (+ (* re re) (* im im))) re) 3) * [exit]simplify: Simplified to (pow (- (sqrt (+ (* re re) (* im im))) re) 3) * * * * [misc]progress: [ 20 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (sqrt (+ (* re re) (* im im))) re)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (sqrt (- (sqrt (+ (* im im) (* re re))) re)) * [exit]simplify: Simplified to (sqrt (- (sqrt (+ (* im im) (* re re))) re)) * [enter]simplify: Simplifying (sqrt (- (sqrt (+ (* re re) (* im im))) re)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (sqrt (- (sqrt (+ (* im im) (* re re))) re)) * [exit]simplify: Simplified to (sqrt (- (sqrt (+ (* im im) (* re re))) re)) * * * * [misc]progress: [ 21 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (100 enodes) * [exit]simplify: Simplified to (+ (* (* re re) (- re)) (* (sqrt (+ (* im im) (* re re))) (+ (* im im) (* re re)))) * [exit]simplify: Simplified to (+ (* (* re re) (- re)) (* (sqrt (+ (* im im) (* re re))) (+ (* im im) (* re re)))) * [enter]simplify: Simplifying (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (+ (* re re) (* (sqrt (+ (* re re) (* im im))) re))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * [exit]simplify: Simplified to (+ (+ (+ (* im im) (* re re)) (* re re)) (* (sqrt (+ (* im im) (* re re))) re)) * [exit]simplify: Simplified to (+ (+ (+ (* im im) (* re re)) (* re re)) (* (sqrt (+ (* im im) (* re re))) re)) * * * * [misc]progress: [ 22 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (- re) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (- re) * [exit]simplify: Simplified to (- re) * * * * [misc]progress: [ 23 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (294 enodes) * [exit]simplify: Simplified to (* im im) * [exit]simplify: Simplified to (* im im) * [enter]simplify: Simplifying (+ (sqrt (+ (* re re) (* im im))) re) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (+ re (sqrt (+ (* im im) (* re re)))) * [exit]simplify: Simplified to (+ re (sqrt (+ (* im im) (* re re)))) * * * * [misc]progress: [ 25 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (- re) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (- re) * [exit]simplify: Simplified to (- re) * * * * [misc]progress: [ 26 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* (fabs im) (sqrt 2.0)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (* (sqrt 2.0) (fabs im)) * [exit]simplify: Simplified to (* (sqrt 2.0) (fabs im)) * * * * [misc]progress: [ 27 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (fabs im)) (log (sqrt 2.0))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (+ (log (fabs im)) (log (sqrt 2.0))) * [exit]simplify: Simplified to (+ (log (fabs im)) (log (sqrt 2.0))) * * * * [misc]progress: [ 29 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (fabs im) (sqrt 2.0))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * [exit]simplify: Simplified to (log (* (sqrt 2.0) (fabs im))) * [exit]simplify: Simplified to (log (* (sqrt 2.0) (fabs im))) * * * * [misc]progress: [ 30 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (fabs im) (sqrt 2.0))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [exit]simplify: Simplified to (exp (* (sqrt 2.0) (fabs im))) * [exit]simplify: Simplified to (exp (* (sqrt 2.0) (fabs im))) * * * * [misc]progress: [ 31 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (fabs im) (fabs im)) (fabs im)) (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (95 enodes) * * [misc]simplify: iters left: 1 (128 enodes) * [exit]simplify: Simplified to (* (pow (fabs im) 3) (* 2.0 (sqrt 2.0))) * [exit]simplify: Simplified to (* (pow (fabs im) 3) (* 2.0 (sqrt 2.0))) * * * * [misc]progress: [ 32 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (fabs im) (sqrt 2.0))) (cbrt (* (fabs im) (sqrt 2.0)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt 2.0) (fabs im))) (cbrt (* (sqrt 2.0) (fabs im)))) * [exit]simplify: Simplified to (* (cbrt (* (sqrt 2.0) (fabs im))) (cbrt (* (sqrt 2.0) (fabs im)))) * [enter]simplify: Simplifying (cbrt (* (fabs im) (sqrt 2.0))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (cbrt (* (sqrt 2.0) (fabs im))) * [exit]simplify: Simplified to (cbrt (* (sqrt 2.0) (fabs im))) * * * * [misc]progress: [ 33 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (fabs im) (sqrt 2.0)) (* (fabs im) (sqrt 2.0))) (* (fabs im) (sqrt 2.0))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (89 enodes) * [exit]simplify: Simplified to (pow (* (sqrt 2.0) (fabs im)) 3) * [exit]simplify: Simplified to (pow (* (sqrt 2.0) (fabs im)) 3) * * * * [misc]progress: [ 34 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (fabs im) (sqrt 2.0))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (sqrt (* (sqrt 2.0) (fabs im))) * [exit]simplify: Simplified to (sqrt (* (sqrt 2.0) (fabs im))) * [enter]simplify: Simplifying (sqrt (* (fabs im) (sqrt 2.0))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (sqrt (* (sqrt 2.0) (fabs im))) * [exit]simplify: Simplified to (sqrt (* (sqrt 2.0) (fabs im))) * * * * [misc]progress: [ 35 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* (fabs im) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (* (* (fabs im) (cbrt (sqrt 2.0))) (cbrt (sqrt 2.0))) * [exit]simplify: Simplified to (* (* (fabs im) (cbrt (sqrt 2.0))) (cbrt (sqrt 2.0))) * * * * [misc]progress: [ 37 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* (fabs im) (sqrt (sqrt 2.0))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (* (fabs im) (sqrt (sqrt 2.0))) * [exit]simplify: Simplified to (* (fabs im) (sqrt (sqrt 2.0))) * * * * [misc]progress: [ 38 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* (fabs im) 1) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: iters left: 1 (9 enodes) * [exit]simplify: Simplified to (fabs im) * [exit]simplify: Simplified to (fabs im) * * * * [misc]progress: [ 39 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (fabs im)) (sqrt 2.0)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (* (cbrt (fabs im)) (sqrt 2.0)) * [exit]simplify: Simplified to (* (cbrt (fabs im)) (sqrt 2.0)) * * * * [misc]progress: [ 40 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (fabs im)) (sqrt 2.0)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (* (sqrt (fabs im)) (sqrt 2.0)) * [exit]simplify: Simplified to (* (sqrt (fabs im)) (sqrt 2.0)) * * * * [misc]progress: [ 41 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* (fabs im) (sqrt 2.0)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (* (sqrt 2.0) (fabs im)) * [exit]simplify: Simplified to (* (sqrt 2.0) (fabs im)) * * * * [misc]progress: [ 42 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (log (fabs im)) (log (sqrt 2.0))) (log (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (- (+ (log (fabs im)) (log (sqrt 2.0))) (log (sqrt (- (sqrt (+ (* im im) (* re re))) re)))) * [exit]simplify: Simplified to (- (+ (log (fabs im)) (log (sqrt 2.0))) (log (sqrt (- (sqrt (+ (* im im) (* re re))) re)))) * * * * [misc]progress: [ 45 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (* (fabs im) (sqrt 2.0))) (log (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (- (log (* (sqrt 2.0) (fabs im))) (log (sqrt (- (sqrt (+ (* im im) (* re re))) re)))) * [exit]simplify: Simplified to (- (log (* (sqrt 2.0) (fabs im))) (log (sqrt (- (sqrt (+ (* im im) (* re re))) re)))) * * * * [misc]progress: [ 46 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (* (fabs im) (sqrt 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (67 enodes) * [exit]simplify: Simplified to (log (/ (* (sqrt 2.0) (fabs im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) * [exit]simplify: Simplified to (log (/ (* (sqrt 2.0) (fabs im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) * * * * [misc]progress: [ 47 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (* (fabs im) (sqrt 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (exp (/ (* (sqrt 2.0) (fabs im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) * [exit]simplify: Simplified to (exp (/ (* (sqrt 2.0) (fabs im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) * * * * [misc]progress: [ 48 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (* (fabs im) (fabs im)) (fabs im)) (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0))) (* (* (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (133 enodes) * [exit]simplify: Simplified to (/ (/ (* (pow (fabs im) 3) (* 2.0 (sqrt 2.0))) (- (sqrt (+ (* im im) (* re re))) re)) (sqrt (- (sqrt (+ (* im im) (* re re))) re))) * [exit]simplify: Simplified to (/ (/ (* (pow (fabs im) 3) (* 2.0 (sqrt 2.0))) (- (sqrt (+ (* im im) (* re re))) re)) (sqrt (- (sqrt (+ (* im im) (* re re))) re))) * * * * [misc]progress: [ 49 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (* (fabs im) (sqrt 2.0)) (* (fabs im) (sqrt 2.0))) (* (fabs im) (sqrt 2.0))) (* (* (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (116 enodes) * * [misc]simplify: iters left: 3 (424 enodes) * [exit]simplify: Simplified to (/ (/ (pow (* (sqrt 2.0) (fabs im)) 3) (- (sqrt (+ (* im im) (* re re))) re)) (sqrt (- (sqrt (+ (* im im) (* re re))) re))) * [exit]simplify: Simplified to (/ (/ (pow (* (sqrt 2.0) (fabs im)) 3) (- (sqrt (+ (* im im) (* re re))) re)) (sqrt (- (sqrt (+ (* im im) (* re re))) re))) * * * * [misc]progress: [ 50 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (* (fabs im) (sqrt 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (/ (* (fabs im) (sqrt 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (* (sqrt 2.0) (fabs im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (/ (* (sqrt 2.0) (fabs im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) * [exit]simplify: Simplified to (* (cbrt (/ (* (sqrt 2.0) (fabs im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (/ (* (sqrt 2.0) (fabs im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) * [enter]simplify: Simplifying (cbrt (/ (* (fabs im) (sqrt 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (cbrt (/ (* (sqrt 2.0) (fabs im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) * [exit]simplify: Simplified to (cbrt (/ (* (sqrt 2.0) (fabs im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) * * * * [misc]progress: [ 51 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (* (fabs im) (sqrt 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (/ (* (fabs im) (sqrt 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (* (fabs im) (sqrt 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (205 enodes) * [exit]simplify: Simplified to (/ (/ (* (sqrt 2.0) (fabs im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (/ (/ (- (sqrt (+ (* re re) (* im im))) re) (* (sqrt 2.0) (fabs im))) (* (sqrt 2.0) (fabs im)))) * [exit]simplify: Simplified to (/ (/ (* (sqrt 2.0) (fabs im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (/ (/ (- (sqrt (+ (* re re) (* im im))) re) (* (sqrt 2.0) (fabs im))) (* (sqrt 2.0) (fabs im)))) * * * * [misc]progress: [ 52 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (* (fabs im) (sqrt 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (sqrt (/ (* (sqrt 2.0) (fabs im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) * [exit]simplify: Simplified to (sqrt (/ (* (sqrt 2.0) (fabs im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) * [enter]simplify: Simplifying (sqrt (/ (* (fabs im) (sqrt 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (sqrt (/ (* (sqrt 2.0) (fabs im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) * [exit]simplify: Simplified to (sqrt (/ (* (sqrt 2.0) (fabs im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) * * * * [misc]progress: [ 53 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (fabs im) (sqrt 2.0))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (- (* (sqrt 2.0) (fabs im))) * [exit]simplify: Simplified to (- (* (sqrt 2.0) (fabs im))) * [enter]simplify: Simplifying (- (sqrt (- (sqrt (+ (* re re) (* im im))) re))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (- (sqrt (- (sqrt (+ (* im im) (* re re))) re))) * [exit]simplify: Simplified to (- (sqrt (- (sqrt (+ (* im im) (* re re))) re))) * * * * [misc]progress: [ 54 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (fabs im) (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (/ (fabs im) (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) * [exit]simplify: Simplified to (/ (fabs im) (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) * [enter]simplify: Simplifying (/ (sqrt 2.0) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (sqrt 2.0) (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re)))) * [exit]simplify: Simplified to (/ (sqrt 2.0) (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re)))) * * * * [misc]progress: [ 55 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (fabs im) (sqrt (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (fabs im) (fabs (cbrt (- (sqrt (+ (* re re) (* im im))) re)))) * [exit]simplify: Simplified to (/ (fabs im) (fabs (cbrt (- (sqrt (+ (* re re) (* im im))) re)))) * [enter]simplify: Simplifying (/ (sqrt 2.0) (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (sqrt 2.0) (sqrt (cbrt (- (sqrt (+ (* im im) (* re re))) re)))) * [exit]simplify: Simplified to (/ (sqrt 2.0) (sqrt (cbrt (- (sqrt (+ (* im im) (* re re))) re)))) * * * * [misc]progress: [ 56 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (fabs im) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (fabs im) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) * [exit]simplify: Simplified to (/ (fabs im) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) * [enter]simplify: Simplifying (/ (sqrt 2.0) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (sqrt 2.0) (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re)))) * [exit]simplify: Simplified to (/ (sqrt 2.0) (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re)))) * * * * [misc]progress: [ 57 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (fabs im) (sqrt 1)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (/ (fabs im) (sqrt 1)) * [exit]simplify: Simplified to (/ (fabs im) (sqrt 1)) * [enter]simplify: Simplifying (/ (sqrt 2.0) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (sqrt 2.0) (sqrt (- (sqrt (+ (* im im) (* re re))) re))) * [exit]simplify: Simplified to (/ (sqrt 2.0) (sqrt (- (sqrt (+ (* im im) (* re re))) re))) * * * * [misc]progress: [ 58 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (fabs im) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (fabs im) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) * [exit]simplify: Simplified to (/ (fabs im) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) * [enter]simplify: Simplifying (/ (sqrt 2.0) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (sqrt 2.0) (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re)))) * [exit]simplify: Simplified to (/ (sqrt 2.0) (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re)))) * * * * [misc]progress: [ 59 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (fabs im) 1) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (/ (fabs im) 1) * [exit]simplify: Simplified to (/ (fabs im) 1) * [enter]simplify: Simplifying (/ (sqrt 2.0) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (sqrt 2.0) (sqrt (- (sqrt (+ (* im im) (* re re))) re))) * [exit]simplify: Simplified to (/ (sqrt 2.0) (sqrt (- (sqrt (+ (* im im) (* re re))) re))) * * * * [misc]progress: [ 60 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 61 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (- (sqrt (+ (* re re) (* im im))) re))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (- (sqrt (+ (* im im) (* re re))) re))) * [exit]simplify: Simplified to (/ 1 (sqrt (- (sqrt (+ (* im im) (* re re))) re))) * * * * [misc]progress: [ 62 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (* (fabs im) (sqrt 2.0))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (* (sqrt 2.0) (fabs im))) * [exit]simplify: Simplified to (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (* (sqrt 2.0) (fabs im))) * * * * [misc]progress: [ 63 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (fabs im) (sqrt 2.0)) (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (59 enodes) * [exit]simplify: Simplified to (/ (* (sqrt 2.0) (fabs im)) (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) * [exit]simplify: Simplified to (/ (* (sqrt 2.0) (fabs im)) (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) * * * * [misc]progress: [ 64 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (fabs im) (sqrt 2.0)) (sqrt (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (/ (* (sqrt 2.0) (fabs im)) (fabs (cbrt (- (sqrt (+ (* re re) (* im im))) re)))) * [exit]simplify: Simplified to (/ (* (sqrt 2.0) (fabs im)) (fabs (cbrt (- (sqrt (+ (* re re) (* im im))) re)))) * * * * [misc]progress: [ 65 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (fabs im) (sqrt 2.0)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (/ (* (sqrt 2.0) (fabs im)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) * [exit]simplify: Simplified to (/ (* (sqrt 2.0) (fabs im)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) * * * * [misc]progress: [ 66 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (fabs im) (sqrt 2.0)) (sqrt 1)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * * [misc]simplify: iters left: 1 (20 enodes) * [exit]simplify: Simplified to (/ (fabs im) (/ (sqrt 1) (sqrt 2.0))) * [exit]simplify: Simplified to (/ (fabs im) (/ (sqrt 1) (sqrt 2.0))) * * * * [misc]progress: [ 67 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (fabs im) (sqrt 2.0)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (/ (* (sqrt 2.0) (fabs im)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) * [exit]simplify: Simplified to (/ (* (sqrt 2.0) (fabs im)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) * * * * [misc]progress: [ 68 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (fabs im) (sqrt 2.0)) 1) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (19 enodes) * [exit]simplify: Simplified to (/ (fabs im) (/ 1 (sqrt 2.0))) * [exit]simplify: Simplified to (/ (fabs im) (/ 1 (sqrt 2.0))) * * * * [misc]progress: [ 69 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt 2.0)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (sqrt 2.0)) * [exit]simplify: Simplified to (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (sqrt 2.0)) * * * * [misc]progress: [ 70 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (fabs im) (sqrt 2.0)) (sqrt (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (84 enodes) * * [misc]simplify: iters left: 1 (118 enodes) * [exit]simplify: Simplified to (/ (* (sqrt 2.0) (fabs im)) (sqrt (+ (* (+ (* re re) (* im im)) (sqrt (+ (* re re) (* im im)))) (* (- re) (* re re))))) * [exit]simplify: Simplified to (/ (* (sqrt 2.0) (fabs im)) (sqrt (+ (* (+ (* re re) (* im im)) (sqrt (+ (* re re) (* im im)))) (* (- re) (* re re))))) * * * * [misc]progress: [ 71 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (fabs im) (sqrt 2.0)) (sqrt (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (113 enodes) * * [misc]simplify: iters left: 1 (315 enodes) * [exit]simplify: Simplified to (/ (sqrt 2.0) 1) * [exit]simplify: Simplified to (/ (sqrt 2.0) 1) * * * * [misc]progress: [ 72 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* 0.5 (/ (* (fabs im) (sqrt 2.0)) (sqrt (- im re)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (* (/ 0.5 (sqrt (- im re))) (* (fabs im) (sqrt 2.0))) * * * * [misc]progress: [ 73 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* 0.5 (/ (* (fabs im) (sqrt 2.0)) (sqrt (- re re)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (* (* 0.5 (sqrt 2.0)) (/ (fabs im) (sqrt 0))) * * * * [misc]progress: [ 74 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* 0.5 (/ (* (fabs im) (sqrt 2.0)) (sqrt (- (* -1 re) re)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (94 enodes) * [exit]simplify: Simplified to (/ (* (* (fabs im) (sqrt 2.0)) 0.5) (sqrt (- (- re) re))) * * * * [misc]progress: [ 75 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* 0.5 (/ (* (fabs im) (sqrt 2.0)) (sqrt (- im re)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (* (/ 0.5 (sqrt (- im re))) (* (fabs im) (sqrt 2.0))) * * * * [misc]progress: [ 76 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* 0.5 (/ (* (fabs im) (sqrt 2.0)) (sqrt 0))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (* (* (fabs im) (sqrt 2.0)) (/ 0.5 (sqrt 0))) * * * * [misc]progress: [ 77 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* 0.5 (/ (* (fabs im) (sqrt 2.0)) (sqrt (* -2 re)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (80 enodes) * [exit]simplify: Simplified to (* (/ (* 0.5 (sqrt 2.0)) (sqrt (* re -2))) (fabs im)) * * * * [misc]progress: [ 78 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* 0.5 (/ (* (fabs im) (sqrt 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (90 enodes) * [exit]simplify: Simplified to (/ (* (* (fabs im) (sqrt 2.0)) 0.5) (sqrt (- (sqrt (+ (* im im) (* re re))) re))) * * * * [misc]progress: [ 79 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* 0.5 (/ (* (fabs im) (sqrt 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (90 enodes) * [exit]simplify: Simplified to (/ (* (* (fabs im) (sqrt 2.0)) 0.5) (sqrt (- (sqrt (+ (* im im) (* re re))) re))) * * * * [misc]progress: [ 80 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* 0.5 (/ (* (fabs im) (sqrt 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (90 enodes) * [exit]simplify: Simplified to (/ (* (* (fabs im) (sqrt 2.0)) 0.5) (sqrt (- (sqrt (+ (* im im) (* re re))) re))) * * * * [misc]progress: [ 81 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* 0.5 (- (+ (* +nan.0 (/ (* (fabs im) (* im (sqrt 2.0))) (pow (sqrt 1/2) 3))) (- (+ (* +nan.0 (/ (* (fabs im) (* (sqrt 2.0) re)) (* (sqrt 1/2) im))) (- (* +nan.0 (/ (* (fabs im) (* (sqrt 2.0) (pow re 2))) (* (sqrt 1/2) im))))))))) * * * * [misc]progress: [ 82 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* 0.5 (- (+ (* +nan.0 (* (fabs im) (sqrt 2.0))) (- (+ (* +nan.0 (/ (* (fabs im) (* (sqrt 2.0) re)) im)) (- (* +nan.0 (/ (* (fabs im) (* (sqrt 2.0) re)) (pow im 2))))))))) * * * * [misc]progress: [ 83 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* 0.5 (- (+ (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (pow im 2))) (- (+ (* +nan.0 (* (fabs im) (sqrt 2.0))) (- (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) im)))))))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 4 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 2 2 1 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 2 2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 2 2 1 1) * [misc]approximate: Taking taylor expansion of (sqrt (+ (* re re) (* im im))) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* re re) (* im im))) in im * [misc]taylor: Taking taylor expansion of (+ (* re re) (* im im)) in im * [misc]taylor: Taking taylor expansion of (* re re) in im * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]taylor: Taking taylor expansion of (* im 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]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 (* re re) into (pow re 2) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow re 2) 0) into (pow re 2) * [misc]backup-simplify: Simplify (sqrt (pow re 2)) into re * [misc]backup-simplify: Simplify (+ (* re 0) (* 0 re)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* re re) (* im im))) in re * [misc]taylor: Taking taylor expansion of (+ (* re re) (* im im)) in re * [misc]taylor: Taking taylor expansion of (* re 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 re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* im im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* im im) into (pow im 2) * [misc]backup-simplify: Simplify (+ 0 (pow im 2)) into (pow im 2) * [misc]backup-simplify: Simplify (sqrt (pow im 2)) into im * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* im 0) (* 0 im)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* re re) (* im im))) in re * [misc]taylor: Taking taylor expansion of (+ (* re re) (* im im)) in re * [misc]taylor: Taking taylor expansion of (* re 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 re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* im im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* im im) into (pow im 2) * [misc]backup-simplify: Simplify (+ 0 (pow im 2)) into (pow im 2) * [misc]backup-simplify: Simplify (sqrt (pow im 2)) into im * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* im 0) (* 0 im)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 * [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]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 1 into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) * [misc]taylor: Taking taylor expansion of (/ 1/2 im) 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 im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 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 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (* im 1)) into im * [misc]approximate: Taking taylor expansion of (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) in im * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im * [misc]taylor: Taking taylor expansion of (* (/ 1 re) (/ 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]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]taylor: Taking taylor expansion of (* (/ 1 im) (/ 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]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 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) in re * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re * [misc]taylor: Taking taylor expansion of (* (/ 1 re) (/ 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]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]taylor: Taking taylor expansion of (* (/ 1 im) (/ 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]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 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) in re * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re * [misc]taylor: Taking taylor expansion of (* (/ 1 re) (/ 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]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]taylor: Taking taylor expansion of (* (/ 1 im) (/ 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]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 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of 1 in im * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) * [misc]backup-simplify: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) * [misc]taylor: Taking taylor expansion of (/ 1/2 (pow im 2)) 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 (pow im 2) in im * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) 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 (* 1 (* 1 (/ 1 (/ 1 re)))) into re * [misc]approximate: Taking taylor expansion of (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) in im * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in im * [misc]taylor: Taking taylor expansion of (* (/ 1 (- re)) (/ 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]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]taylor: Taking taylor expansion of (* (/ 1 (- im)) (/ 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]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 -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) in re * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re * [misc]taylor: Taking taylor expansion of (* (/ 1 (- re)) (/ 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]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]taylor: Taking taylor expansion of (* (/ 1 (- im)) (/ 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]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 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) in re * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re * [misc]taylor: Taking taylor expansion of (* (/ 1 (- re)) (/ 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]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]taylor: Taking taylor expansion of (* (/ 1 (- im)) (/ 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]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 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of 1 in im * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 0 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) * [misc]backup-simplify: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) * [misc]taylor: Taking taylor expansion of (/ 1/2 (pow im 2)) 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 (pow im 2) in im * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) 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 (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) 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 (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 2 2 1) * [misc]approximate: Taking taylor expansion of (- (sqrt (+ (* re re) (* im im))) re) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (- (sqrt (+ (* re re) (* im im))) re) in im * [misc]taylor: Taking taylor expansion of (sqrt (+ (* re re) (* im im))) in im * [misc]taylor: Taking taylor expansion of (+ (* re re) (* im im)) in im * [misc]taylor: Taking taylor expansion of (* re re) in im * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]taylor: Taking taylor expansion of (* im 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]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 (* re re) into (pow re 2) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow re 2) 0) into (pow re 2) * [misc]backup-simplify: Simplify (sqrt (pow re 2)) into re * [misc]backup-simplify: Simplify (+ (* re 0) (* 0 re)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]taylor: Taking taylor expansion of (- (sqrt (+ (* re re) (* im im))) re) in re * [misc]taylor: Taking taylor expansion of (sqrt (+ (* re re) (* im im))) in re * [misc]taylor: Taking taylor expansion of (+ (* re re) (* im im)) in re * [misc]taylor: Taking taylor expansion of (* re 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 re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* im im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* im im) into (pow im 2) * [misc]backup-simplify: Simplify (+ 0 (pow im 2)) into (pow im 2) * [misc]backup-simplify: Simplify (sqrt (pow im 2)) into im * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* im 0) (* 0 im)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 * [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 (- (sqrt (+ (* re re) (* im im))) re) in re * [misc]taylor: Taking taylor expansion of (sqrt (+ (* re re) (* im im))) in re * [misc]taylor: Taking taylor expansion of (+ (* re re) (* im im)) in re * [misc]taylor: Taking taylor expansion of (* re 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 re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* im im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* im im) into (pow im 2) * [misc]backup-simplify: Simplify (+ 0 (pow im 2)) into (pow im 2) * [misc]backup-simplify: Simplify (sqrt (pow im 2)) into im * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* im 0) (* 0 im)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 * [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 (+ im 0) into 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 (+ 0 -1) into -1 * [misc]taylor: Taking taylor expansion of -1 in im * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 im)) 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 (/ 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 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 * [misc]backup-simplify: Simplify (- 0) 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re) * [misc]approximate: Taking taylor expansion of (- (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (- (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) in im * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) in im * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im * [misc]taylor: Taking taylor expansion of (* (/ 1 re) (/ 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]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]taylor: Taking taylor expansion of (* (/ 1 im) (/ 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]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 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (/ 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]taylor: Taking taylor expansion of (- (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) in re * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) in re * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re * [misc]taylor: Taking taylor expansion of (* (/ 1 re) (/ 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]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]taylor: Taking taylor expansion of (* (/ 1 im) (/ 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]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 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (/ 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]taylor: Taking taylor expansion of (- (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) in re * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) in re * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re * [misc]taylor: Taking taylor expansion of (* (/ 1 re) (/ 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]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]taylor: Taking taylor expansion of (* (/ 1 im) (/ 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]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 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (/ 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 (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) * [misc]backup-simplify: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) 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 (/ 1 (pow im 2)) in im * [misc]taylor: Taking taylor expansion of (pow im 2) in im * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (- (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (- (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) in im * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) in im * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in im * [misc]taylor: Taking taylor expansion of (* (/ 1 (- re)) (/ 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]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]taylor: Taking taylor expansion of (* (/ 1 (- im)) (/ 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]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 -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [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]taylor: Taking taylor expansion of (- (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) in re * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) in re * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re * [misc]taylor: Taking taylor expansion of (* (/ 1 (- re)) (/ 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]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]taylor: Taking taylor expansion of (* (/ 1 (- im)) (/ 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]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 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (/ 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]taylor: Taking taylor expansion of (- (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) in re * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) in re * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re * [misc]taylor: Taking taylor expansion of (* (/ 1 (- re)) (/ 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]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]taylor: Taking taylor expansion of (* (/ 1 (- im)) (/ 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]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 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (/ 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 (- -1) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]taylor: Taking taylor expansion of 2 in im * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) 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 2 into 2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) * [misc]backup-simplify: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) 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 (/ 1 (pow im 2)) in im * [misc]taylor: Taking taylor expansion of (pow im 2) in im * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) 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 (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) 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 (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (* (sqrt 2.0) (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) in (im re) around 0 * [misc]taylor: Taking taylor expansion of (* (sqrt 2.0) (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) in re * [misc]taylor: Taking taylor expansion of (sqrt 2.0) in re * [misc]taylor: Taking taylor expansion of 2.0 in re * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (sqrt 2.0) into (sqrt 2.0) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 * [misc]taylor: Taking taylor expansion of (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) in re * [misc]taylor: Taking taylor expansion of (fabs im) in re * [misc]backup-simplify: Simplify (fabs im) into (fabs im) * [misc]taylor: Taking taylor expansion of (sqrt (- (sqrt (+ (* re re) (* im im))) re)) in re * [misc]taylor: Taking taylor expansion of (- (sqrt (+ (* re re) (* im im))) re) in re * [misc]taylor: Taking taylor expansion of (sqrt (+ (* re re) (* im im))) in re * [misc]taylor: Taking taylor expansion of (+ (* re re) (* im im)) in re * [misc]taylor: Taking taylor expansion of (* re 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 re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* im im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* im im) into (pow im 2) * [misc]backup-simplify: Simplify (+ 0 (pow im 2)) into (pow im 2) * [misc]backup-simplify: Simplify (sqrt (pow im 2)) into im * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* im 0) (* 0 im)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 * [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 (+ im 0) into im * [misc]backup-simplify: Simplify (sqrt im) into (sqrt im) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt im))) into (* -1/2 (sqrt (/ 1 im))) * [misc]backup-simplify: Simplify (/ (fabs im) (sqrt im)) into (* (fabs im) (sqrt (/ 1 im))) * [misc]taylor: Taking taylor expansion of (* (sqrt 2.0) (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) in im * [misc]taylor: Taking taylor expansion of (sqrt 2.0) in im * [misc]taylor: Taking taylor expansion of 2.0 in im * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (sqrt 2.0) into (sqrt 2.0) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 * [misc]taylor: Taking taylor expansion of (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) in im * [misc]taylor: Taking taylor expansion of (fabs im) in im * [misc]backup-simplify: Simplify (fabs im) into (fabs im) * [misc]taylor: Taking taylor expansion of (sqrt (- (sqrt (+ (* re re) (* im im))) re)) in im * [misc]taylor: Taking taylor expansion of (- (sqrt (+ (* re re) (* im im))) re) in im * [misc]taylor: Taking taylor expansion of (sqrt (+ (* re re) (* im im))) in im * [misc]taylor: Taking taylor expansion of (+ (* re re) (* im im)) in im * [misc]taylor: Taking taylor expansion of (* re re) in im * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]taylor: Taking taylor expansion of (* im 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]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 (* re re) into (pow re 2) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow re 2) 0) into (pow re 2) * [misc]backup-simplify: Simplify (sqrt (pow re 2)) into re * [misc]backup-simplify: Simplify (+ (* re 0) (* 0 re)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 * [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 (- re)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re)) * [misc]backup-simplify: Simplify (sqrt (* 1/2 (/ 1 re))) into (* (sqrt 1/2) (sqrt (/ 1 re))) * [misc]backup-simplify: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* 1/2 (/ 1 re))))) into 0 * [misc]backup-simplify: Simplify (/ (fabs im) (* (sqrt 1/2) (sqrt (/ 1 re)))) into (* (/ (fabs im) (sqrt 1/2)) (sqrt re)) * [misc]taylor: Taking taylor expansion of (* (sqrt 2.0) (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) in im * [misc]taylor: Taking taylor expansion of (sqrt 2.0) in im * [misc]taylor: Taking taylor expansion of 2.0 in im * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (sqrt 2.0) into (sqrt 2.0) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 * [misc]taylor: Taking taylor expansion of (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) in im * [misc]taylor: Taking taylor expansion of (fabs im) in im * [misc]backup-simplify: Simplify (fabs im) into (fabs im) * [misc]taylor: Taking taylor expansion of (sqrt (- (sqrt (+ (* re re) (* im im))) re)) in im * [misc]taylor: Taking taylor expansion of (- (sqrt (+ (* re re) (* im im))) re) in im * [misc]taylor: Taking taylor expansion of (sqrt (+ (* re re) (* im im))) in im * [misc]taylor: Taking taylor expansion of (+ (* re re) (* im im)) in im * [misc]taylor: Taking taylor expansion of (* re re) in im * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]taylor: Taking taylor expansion of (* im 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]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 (* re re) into (pow re 2) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow re 2) 0) into (pow re 2) * [misc]backup-simplify: Simplify (sqrt (pow re 2)) into re * [misc]backup-simplify: Simplify (+ (* re 0) (* 0 re)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 * [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 (- re)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re)) * [misc]backup-simplify: Simplify (sqrt (* 1/2 (/ 1 re))) into (* (sqrt 1/2) (sqrt (/ 1 re))) * [misc]backup-simplify: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* 1/2 (/ 1 re))))) into 0 * [misc]backup-simplify: Simplify (/ (fabs im) (* (sqrt 1/2) (sqrt (/ 1 re)))) into (* (/ (fabs im) (sqrt 1/2)) (sqrt re)) * [misc]backup-simplify: Simplify (* (sqrt 2.0) (* (/ (fabs im) (sqrt 1/2)) (sqrt re))) into (* (/ (* (fabs im) (sqrt 2.0)) (sqrt 1/2)) (sqrt re)) * [misc]taylor: Taking taylor expansion of (* (/ (* (fabs im) (sqrt 2.0)) (sqrt 1/2)) (sqrt re)) in re * [misc]taylor: Taking taylor expansion of (/ (* (fabs im) (sqrt 2.0)) (sqrt 1/2)) in re * [misc]taylor: Taking taylor expansion of (* (fabs im) (sqrt 2.0)) in re * [misc]taylor: Taking taylor expansion of (fabs im) in re * [misc]backup-simplify: Simplify (fabs im) into (fabs im) * [misc]taylor: Taking taylor expansion of (sqrt 2.0) in re * [misc]taylor: Taking taylor expansion of 2.0 in re * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (sqrt 2.0) into (sqrt 2.0) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in re * [misc]taylor: Taking taylor expansion of 1/2 in re * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 * [misc]backup-simplify: Simplify (* (fabs im) (sqrt 2.0)) into (* (fabs im) (sqrt 2.0)) * [misc]backup-simplify: Simplify (/ (* (fabs im) (sqrt 2.0)) (sqrt 1/2)) into (/ (* (fabs im) (sqrt 2.0)) (sqrt 1/2)) * [misc]taylor: Taking taylor expansion of (sqrt 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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (* (/ (* (fabs im) (sqrt 2.0)) (sqrt 1/2)) 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* (sqrt 1/2) (sqrt (/ 1 re)))) (+ (* (* (/ (fabs im) (sqrt 1/2)) (sqrt re)) (/ 0 (* (sqrt 1/2) (sqrt (/ 1 re))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt 2.0) 0) (* 0 (* (/ (fabs im) (sqrt 1/2)) (sqrt re)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (fabs im) 0) (* 0 (sqrt 2.0))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 1/2)) (+ (* (/ (* (fabs im) (sqrt 2.0)) (sqrt 1/2)) (/ 0 (sqrt 1/2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (* (fabs im) (sqrt 2.0)) (sqrt 1/2)) +nan.0) (* 0 0)) into (- (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (sqrt 1/2)))) * [misc]backup-simplify: Simplify (- (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (sqrt 1/2)))) into (- (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (sqrt 1/2)))) * [misc]backup-simplify: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 re))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ 1/2 re) 2) (+ (* 2 (* 0 0)))) (* 2 re)) into (/ -1/8 (pow re 3)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ -1/8 (pow re 3)) 0) into (- (* 1/8 (/ 1 (pow re 3)))) * [misc]backup-simplify: Simplify (/ (- (- (* 1/8 (/ 1 (pow re 3)))) (pow 0 2) (+)) (* 2 (* (sqrt 1/2) (sqrt (/ 1 re))))) into (* -1/16 (* (/ 1 (sqrt 1/2)) (sqrt (/ 1 (pow re 5))))) * [misc]backup-simplify: Simplify (- (/ 0 (* (sqrt 1/2) (sqrt (/ 1 re)))) (+ (* (* (/ (fabs im) (sqrt 1/2)) (sqrt re)) (/ (* -1/16 (* (/ 1 (sqrt 1/2)) (sqrt (/ 1 (pow re 5))))) (* (sqrt 1/2) (sqrt (/ 1 re))))) (* 0 (/ 0 (* (sqrt 1/2) (sqrt (/ 1 re))))))) into (* 1/16 (* (/ (fabs im) (pow (sqrt 1/2) 3)) (sqrt (/ 1 (pow re 3))))) * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt 2.0) (* 1/16 (* (/ (fabs im) (pow (sqrt 1/2) 3)) (sqrt (/ 1 (pow re 3)))))) (+ (* 0 0) (* 0 (* (/ (fabs im) (sqrt 1/2)) (sqrt re))))) into (* 1/16 (* (/ (* (fabs im) (sqrt 2.0)) (pow (sqrt 1/2) 3)) (sqrt (/ 1 (pow re 3))))) * [misc]taylor: Taking taylor expansion of (* 1/16 (* (/ (* (fabs im) (sqrt 2.0)) (pow (sqrt 1/2) 3)) (sqrt (/ 1 (pow re 3))))) in re * [misc]taylor: Taking taylor expansion of 1/16 in re * [misc]backup-simplify: Simplify 1/16 into 1/16 * [misc]taylor: Taking taylor expansion of (* (/ (* (fabs im) (sqrt 2.0)) (pow (sqrt 1/2) 3)) (sqrt (/ 1 (pow re 3)))) in re * [misc]taylor: Taking taylor expansion of (/ (* (fabs im) (sqrt 2.0)) (pow (sqrt 1/2) 3)) in re * [misc]taylor: Taking taylor expansion of (* (fabs im) (sqrt 2.0)) in re * [misc]taylor: Taking taylor expansion of (fabs im) in re * [misc]backup-simplify: Simplify (fabs im) into (fabs im) * [misc]taylor: Taking taylor expansion of (sqrt 2.0) in re * [misc]taylor: Taking taylor expansion of 2.0 in re * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (sqrt 2.0) into (sqrt 2.0) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 * [misc]taylor: Taking taylor expansion of (pow (sqrt 1/2) 3) in re * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (sqrt 1/2)))) in re * [misc]taylor: Taking taylor expansion of (* 3 (log (sqrt 1/2))) in re * [misc]taylor: Taking taylor expansion of 3 in re * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (sqrt 1/2)) in re * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in re * [misc]taylor: Taking taylor expansion of 1/2 in re * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 * [misc]backup-simplify: Simplify (log (sqrt 1/2)) into (log (sqrt 1/2)) * [misc]backup-simplify: Simplify (* 3 (log (sqrt 1/2))) into (* 3 (log (sqrt 1/2))) * [misc]backup-simplify: Simplify (exp (* 3 (log (sqrt 1/2)))) into (pow (sqrt 1/2) 3) * [misc]backup-simplify: Simplify (* (fabs im) (sqrt 2.0)) into (* (fabs im) (sqrt 2.0)) * [misc]backup-simplify: Simplify (/ (* (fabs im) (sqrt 2.0)) (pow (sqrt 1/2) 3)) into (/ (* (fabs im) (sqrt 2.0)) (pow (sqrt 1/2) 3)) * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (pow re 3))) in re * [misc]taylor: Taking taylor expansion of (/ 1 (pow re 3)) in re * [misc]taylor: Taking taylor expansion of (pow re 3) in re * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ (* (fabs im) 0) (* 0 (sqrt 2.0))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt 1/2) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (log (sqrt 1/2)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (sqrt 1/2)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (sqrt 1/2) 3)) (+ (* (/ (* (fabs im) (sqrt 2.0)) (pow (sqrt 1/2) 3)) (/ 0 (pow (sqrt 1/2) 3))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 * [misc]backup-simplify: Simplify (+ (* (fabs im) 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt 1/2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt 1/2) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (log (sqrt 1/2))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (sqrt 1/2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (sqrt 1/2) 3)) (+ (* (/ (* (fabs im) (sqrt 2.0)) (pow (sqrt 1/2) 3)) (/ 0 (pow (sqrt 1/2) 3))) (* 0 (/ 0 (pow (sqrt 1/2) 3))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (* (fabs im) (sqrt 2.0)) (pow (sqrt 1/2) 3)) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (pow (sqrt 1/2) 3)))) * [misc]backup-simplify: Simplify (+ (* (/ (* (fabs im) (sqrt 2.0)) (pow (sqrt 1/2) 3)) +nan.0) (* 0 0)) into (- (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (pow (sqrt 1/2) 3)))) * [misc]backup-simplify: Simplify (* (/ (* (fabs im) (sqrt 2.0)) (pow (sqrt 1/2) 3)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/16 (- (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (pow (sqrt 1/2) 3))))) (+ (* 0 (- (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (pow (sqrt 1/2) 3))))) (* 0 0))) into (- (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (pow (sqrt 1/2) 3)))) * [misc]backup-simplify: Simplify (- (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (pow (sqrt 1/2) 3)))) into (- (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (pow (sqrt 1/2) 3)))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 * [misc]backup-simplify: Simplify (+ (* (fabs im) 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 1/2)) (+ (* (/ (* (fabs im) (sqrt 2.0)) (sqrt 1/2)) (/ 0 (sqrt 1/2))) (* 0 (/ 0 (sqrt 1/2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (* (fabs im) (sqrt 2.0)) (sqrt 1/2)) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (sqrt 1/2)))) * [misc]backup-simplify: Simplify (- (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (sqrt 1/2)))) into (- (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (sqrt 1/2)))) * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (sqrt 1/2)))) (* (pow re 2) (/ 1 im))) (+ (* (- (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (pow (sqrt 1/2) 3)))) (* 1 im)) (* (- (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (sqrt 1/2)))) (* re (/ 1 im))))) into (- (+ (* +nan.0 (/ (* (fabs im) (* im (sqrt 2.0))) (pow (sqrt 1/2) 3))) (- (+ (* +nan.0 (/ (* (fabs im) (* (sqrt 2.0) re)) (* (sqrt 1/2) im))) (- (* +nan.0 (/ (* (fabs im) (* (sqrt 2.0) (pow re 2))) (* (sqrt 1/2) im)))))))) * [misc]approximate: Taking taylor expansion of (* (sqrt 2.0) (/ (fabs (/ 1 im)) (sqrt (- (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re))))) in (im re) around 0 * [misc]taylor: Taking taylor expansion of (* (sqrt 2.0) (/ (fabs (/ 1 im)) (sqrt (- (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re))))) in re * [misc]taylor: Taking taylor expansion of (sqrt 2.0) in re * [misc]taylor: Taking taylor expansion of 2.0 in re * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (sqrt 2.0) into (sqrt 2.0) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 * [misc]taylor: Taking taylor expansion of (/ (fabs (/ 1 im)) (sqrt (- (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)))) in re * [misc]taylor: Taking taylor expansion of (fabs (/ 1 im)) in re * [misc]backup-simplify: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im)) * [misc]taylor: Taking taylor expansion of (sqrt (- (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re))) in re * [misc]taylor: Taking taylor expansion of (- (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) in re * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) in re * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re * [misc]taylor: Taking taylor expansion of (* (/ 1 re) (/ 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]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]taylor: Taking taylor expansion of (* (/ 1 im) (/ 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]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 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (/ 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 (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) * [misc]backup-simplify: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) * [misc]backup-simplify: Simplify (/ (fabs (/ 1 im)) (/ +nan.0 (pow im 2))) into (* +nan.0 (* (fabs (/ 1 im)) (pow im 2))) * [misc]taylor: Taking taylor expansion of (* (sqrt 2.0) (/ (fabs (/ 1 im)) (sqrt (- (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re))))) in im * [misc]taylor: Taking taylor expansion of (sqrt 2.0) in im * [misc]taylor: Taking taylor expansion of 2.0 in im * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (sqrt 2.0) into (sqrt 2.0) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 * [misc]taylor: Taking taylor expansion of (/ (fabs (/ 1 im)) (sqrt (- (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)))) in im * [misc]taylor: Taking taylor expansion of (fabs (/ 1 im)) in im * [misc]backup-simplify: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im)) * [misc]taylor: Taking taylor expansion of (sqrt (- (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re))) in im * [misc]taylor: Taking taylor expansion of (- (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) in im * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) in im * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im * [misc]taylor: Taking taylor expansion of (* (/ 1 re) (/ 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]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]taylor: Taking taylor expansion of (* (/ 1 im) (/ 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]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 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (/ 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 (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (/ (fabs (/ 1 im)) +nan.0) into (* +nan.0 (fabs (/ 1 im))) * [misc]taylor: Taking taylor expansion of (* (sqrt 2.0) (/ (fabs (/ 1 im)) (sqrt (- (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re))))) in im * [misc]taylor: Taking taylor expansion of (sqrt 2.0) in im * [misc]taylor: Taking taylor expansion of 2.0 in im * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (sqrt 2.0) into (sqrt 2.0) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 * [misc]taylor: Taking taylor expansion of (/ (fabs (/ 1 im)) (sqrt (- (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)))) in im * [misc]taylor: Taking taylor expansion of (fabs (/ 1 im)) in im * [misc]backup-simplify: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im)) * [misc]taylor: Taking taylor expansion of (sqrt (- (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re))) in im * [misc]taylor: Taking taylor expansion of (- (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) in im * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) in im * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im * [misc]taylor: Taking taylor expansion of (* (/ 1 re) (/ 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]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]taylor: Taking taylor expansion of (* (/ 1 im) (/ 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]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 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (/ 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 (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (/ (fabs (/ 1 im)) +nan.0) into (* +nan.0 (fabs (/ 1 im))) * [misc]backup-simplify: Simplify (* (sqrt 2.0) (* +nan.0 (fabs (/ 1 im)))) into (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) in re * [misc]taylor: Taking taylor expansion of +nan.0 in re * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt 2.0)) in re * [misc]taylor: Taking taylor expansion of (fabs (/ 1 im)) in re * [misc]backup-simplify: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im)) * [misc]taylor: Taking taylor expansion of (sqrt 2.0) in re * [misc]taylor: Taking taylor expansion of 2.0 in re * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (sqrt 2.0) into (sqrt 2.0) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 re)) into (- (/ 1 re)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 re))) into (- (/ 1 re)) * [misc]backup-simplify: Simplify (/ (- (- (/ 1 re)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ (/ 1 re) (- +nan.0))) * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (fabs (/ 1 im))) (/ (* +nan.0 (+ (/ 1 re) (- +nan.0))) +nan.0)))) into (- (+ (* +nan.0 (/ (fabs (/ 1 im)) re)) (- (* +nan.0 (fabs (/ 1 im)))))) * [misc]backup-simplify: Simplify (+ (* (sqrt 2.0) (- (+ (* +nan.0 (/ (fabs (/ 1 im)) re)) (- (* +nan.0 (fabs (/ 1 im))))))) (* 0 (* +nan.0 (fabs (/ 1 im))))) into (- (+ (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) (- (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re))))) * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) (- (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re))))) in re * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) (- (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re)))) in re * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) in re * [misc]taylor: Taking taylor expansion of +nan.0 in re * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt 2.0)) in re * [misc]taylor: Taking taylor expansion of (fabs (/ 1 im)) in re * [misc]backup-simplify: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im)) * [misc]taylor: Taking taylor expansion of (sqrt 2.0) in re * [misc]taylor: Taking taylor expansion of 2.0 in re * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (sqrt 2.0) into (sqrt 2.0) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re))) in re * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re)) in re * [misc]taylor: Taking taylor expansion of +nan.0 in re * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re) in re * [misc]taylor: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt 2.0)) in re * [misc]taylor: Taking taylor expansion of (fabs (/ 1 im)) in re * [misc]backup-simplify: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im)) * [misc]taylor: Taking taylor expansion of (sqrt 2.0) in re * [misc]taylor: Taking taylor expansion of 2.0 in re * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (sqrt 2.0) into (sqrt 2.0) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 * [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 (* (fabs (/ 1 im)) (sqrt 2.0)) into (* (fabs (/ 1 im)) (sqrt 2.0)) * [misc]backup-simplify: Simplify (/ (* (fabs (/ 1 im)) (sqrt 2.0)) 1) into (* (fabs (/ 1 im)) (sqrt 2.0)) * [misc]backup-simplify: Simplify (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) into (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) * [misc]backup-simplify: Simplify (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) into (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) * [misc]backup-simplify: Simplify (+ 0 (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))))) into (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))))) into (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) * [misc]backup-simplify: Simplify (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) into (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) * [misc]backup-simplify: Simplify (* (fabs (/ 1 im)) (sqrt 2.0)) into (* (fabs (/ 1 im)) (sqrt 2.0)) * [misc]backup-simplify: Simplify (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) into (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) * [misc]backup-simplify: Simplify (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) into (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) * [misc]backup-simplify: Simplify (* (/ 1 re) (/ 1 re)) into (/ 1 (pow re 2)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2)) * [misc]backup-simplify: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1/2 (pow re 2)) 0) into (* 1/2 (/ 1 (pow re 2))) * [misc]backup-simplify: Simplify (/ (- (* 1/2 (/ 1 (pow re 2))) (+ (* 2 (* +nan.0 (* +nan.0 (+ (/ 1 re) (- +nan.0))))))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0)))) * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (fabs (/ 1 im))) (/ (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0)))) +nan.0)) (* (- (+ (* +nan.0 (/ (fabs (/ 1 im)) re)) (- (* +nan.0 (fabs (/ 1 im)))))) (/ (* +nan.0 (+ (/ 1 re) (- +nan.0))) +nan.0)))) into (- (+ (* +nan.0 (/ (fabs (/ 1 im)) re)) (- (+ (* +nan.0 (fabs (/ 1 im))) (- (* +nan.0 (/ (fabs (/ 1 im)) (pow re 2)))))))) * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt 2.0) (- (+ (* +nan.0 (/ (fabs (/ 1 im)) re)) (- (+ (* +nan.0 (fabs (/ 1 im))) (- (* +nan.0 (/ (fabs (/ 1 im)) (pow re 2))))))))) (+ (* 0 (- (+ (* +nan.0 (/ (fabs (/ 1 im)) re)) (- (* +nan.0 (fabs (/ 1 im))))))) (* 0 (* +nan.0 (fabs (/ 1 im)))))) into (- (+ (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) (pow re 2))) (- (+ (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) (- (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re))))))) * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) (pow re 2))) (- (+ (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) (- (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re))))))) in re * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) (pow re 2))) (- (+ (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) (- (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re)))))) in re * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) (pow re 2))) in re * [misc]taylor: Taking taylor expansion of +nan.0 in re * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (/ (* (fabs (/ 1 im)) (sqrt 2.0)) (pow re 2)) in re * [misc]taylor: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt 2.0)) in re * [misc]taylor: Taking taylor expansion of (fabs (/ 1 im)) in re * [misc]backup-simplify: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im)) * [misc]taylor: Taking taylor expansion of (sqrt 2.0) in re * [misc]taylor: Taking taylor expansion of 2.0 in re * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (sqrt 2.0) into (sqrt 2.0) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 * [misc]taylor: Taking taylor expansion of (pow re 2) in re * [misc]backup-simplify: Simplify (* (fabs (/ 1 im)) (sqrt 2.0)) into (* (fabs (/ 1 im)) (sqrt 2.0)) * [misc]backup-simplify: Simplify (/ (* (fabs (/ 1 im)) (sqrt 2.0)) 1) into (* (fabs (/ 1 im)) (sqrt 2.0)) * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) (- (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re))))) in re * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) (- (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re)))) in re * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) in re * [misc]taylor: Taking taylor expansion of +nan.0 in re * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt 2.0)) in re * [misc]taylor: Taking taylor expansion of (fabs (/ 1 im)) in re * [misc]backup-simplify: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im)) * [misc]taylor: Taking taylor expansion of (sqrt 2.0) in re * [misc]taylor: Taking taylor expansion of 2.0 in re * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (sqrt 2.0) into (sqrt 2.0) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re))) in re * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re)) in re * [misc]taylor: Taking taylor expansion of +nan.0 in re * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re) in re * [misc]taylor: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt 2.0)) in re * [misc]taylor: Taking taylor expansion of (fabs (/ 1 im)) in re * [misc]backup-simplify: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im)) * [misc]taylor: Taking taylor expansion of (sqrt 2.0) in re * [misc]taylor: Taking taylor expansion of 2.0 in re * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (sqrt 2.0) into (sqrt 2.0) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 * [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 (* (fabs (/ 1 im)) (sqrt 2.0)) into (* (fabs (/ 1 im)) (sqrt 2.0)) * [misc]backup-simplify: Simplify (/ (* (fabs (/ 1 im)) (sqrt 2.0)) 1) into (* (fabs (/ 1 im)) (sqrt 2.0)) * [misc]backup-simplify: Simplify (+ (* (fabs (/ 1 im)) 0) (* 0 (sqrt 2.0))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* (fabs (/ 1 im)) (sqrt 2.0)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (* (fabs (/ 1 im)) (sqrt 2.0)))) into 0 * [misc]backup-simplify: Simplify (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) into (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) * [misc]backup-simplify: Simplify (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) into (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) * [misc]backup-simplify: Simplify (+ 0 (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))))) into (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))))) into (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) * [misc]backup-simplify: Simplify (+ 0 (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))))) into (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))))) into (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) * [misc]backup-simplify: Simplify (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) into (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (* (fabs (/ 1 (/ 1 im))) (sqrt 2.0)))) (* (/ 1 (/ 1 re)) (pow (/ 1 im) 2))) (+ (* +nan.0 (* (fabs (/ 1 (/ 1 im))) (sqrt 2.0))) (* (- (* +nan.0 (* (fabs (/ 1 (/ 1 im))) (sqrt 2.0)))) (* (/ 1 (/ 1 re)) (/ 1 im))))) into (- (+ (* +nan.0 (* (fabs im) (sqrt 2.0))) (- (+ (* +nan.0 (/ (* (fabs im) (* (sqrt 2.0) re)) im)) (- (* +nan.0 (/ (* (fabs im) (* (sqrt 2.0) re)) (pow im 2)))))))) * [misc]approximate: Taking taylor expansion of (* (sqrt 2.0) (/ (fabs (/ 1 (- im))) (sqrt (- (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re)))))) in (im re) around 0 * [misc]taylor: Taking taylor expansion of (* (sqrt 2.0) (/ (fabs (/ 1 (- im))) (sqrt (- (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re)))))) in re * [misc]taylor: Taking taylor expansion of (sqrt 2.0) in re * [misc]taylor: Taking taylor expansion of 2.0 in re * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (sqrt 2.0) into (sqrt 2.0) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 * [misc]taylor: Taking taylor expansion of (/ (fabs (/ 1 (- im))) (sqrt (- (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))))) in re * [misc]taylor: Taking taylor expansion of (fabs (/ 1 (- im))) in re * [misc]backup-simplify: Simplify (fabs (/ 1 (- im))) into (fabs (/ -1 im)) * [misc]taylor: Taking taylor expansion of (sqrt (- (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re)))) in re * [misc]taylor: Taking taylor expansion of (- (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) in re * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) in re * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re * [misc]taylor: Taking taylor expansion of (* (/ 1 (- re)) (/ 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]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]taylor: Taking taylor expansion of (* (/ 1 (- im)) (/ 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]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 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (/ 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 (- -1) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (/ (fabs (/ -1 im)) +nan.0) into (* +nan.0 (fabs (/ -1 im))) * [misc]taylor: Taking taylor expansion of (* (sqrt 2.0) (/ (fabs (/ 1 (- im))) (sqrt (- (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re)))))) in im * [misc]taylor: Taking taylor expansion of (sqrt 2.0) in im * [misc]taylor: Taking taylor expansion of 2.0 in im * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (sqrt 2.0) into (sqrt 2.0) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 * [misc]taylor: Taking taylor expansion of (/ (fabs (/ 1 (- im))) (sqrt (- (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))))) in im * [misc]taylor: Taking taylor expansion of (fabs (/ 1 (- im))) in im * [misc]backup-simplify: Simplify (fabs (/ 1 (- im))) into (fabs (/ -1 im)) * [misc]taylor: Taking taylor expansion of (sqrt (- (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re)))) in im * [misc]taylor: Taking taylor expansion of (- (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) in im * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) in im * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in im * [misc]taylor: Taking taylor expansion of (* (/ 1 (- re)) (/ 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]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]taylor: Taking taylor expansion of (* (/ 1 (- im)) (/ 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]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 -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [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 (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (/ (fabs (/ -1 im)) +nan.0) into (* +nan.0 (fabs (/ -1 im))) * [misc]taylor: Taking taylor expansion of (* (sqrt 2.0) (/ (fabs (/ 1 (- im))) (sqrt (- (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re)))))) in im * [misc]taylor: Taking taylor expansion of (sqrt 2.0) in im * [misc]taylor: Taking taylor expansion of 2.0 in im * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (sqrt 2.0) into (sqrt 2.0) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 * [misc]taylor: Taking taylor expansion of (/ (fabs (/ 1 (- im))) (sqrt (- (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))))) in im * [misc]taylor: Taking taylor expansion of (fabs (/ 1 (- im))) in im * [misc]backup-simplify: Simplify (fabs (/ 1 (- im))) into (fabs (/ -1 im)) * [misc]taylor: Taking taylor expansion of (sqrt (- (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re)))) in im * [misc]taylor: Taking taylor expansion of (- (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) in im * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) in im * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in im * [misc]taylor: Taking taylor expansion of (* (/ 1 (- re)) (/ 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]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]taylor: Taking taylor expansion of (* (/ 1 (- im)) (/ 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]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 -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [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 (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (/ (fabs (/ -1 im)) +nan.0) into (* +nan.0 (fabs (/ -1 im))) * [misc]backup-simplify: Simplify (* (sqrt 2.0) (* +nan.0 (fabs (/ -1 im)))) into (* +nan.0 (* (fabs (/ -1 im)) (sqrt 2.0))) * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (fabs (/ -1 im)) (sqrt 2.0))) in re * [misc]taylor: Taking taylor expansion of +nan.0 in re * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (* (fabs (/ -1 im)) (sqrt 2.0)) in re * [misc]taylor: Taking taylor expansion of (fabs (/ -1 im)) in re * [misc]backup-simplify: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im)) * [misc]taylor: Taking taylor expansion of (sqrt 2.0) in re * [misc]taylor: Taking taylor expansion of 2.0 in re * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (sqrt 2.0) into (sqrt 2.0) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 * [misc]backup-simplify: Simplify (* (fabs (/ -1 im)) (sqrt 2.0)) into (* (fabs (/ -1 im)) (sqrt 2.0)) * [misc]backup-simplify: Simplify (* +nan.0 (* (fabs (/ -1 im)) (sqrt 2.0))) into (* +nan.0 (* (fabs (/ -1 im)) (sqrt 2.0))) * [misc]backup-simplify: Simplify (* +nan.0 (* (fabs (/ -1 im)) (sqrt 2.0))) into (* +nan.0 (* (fabs (/ -1 im)) (sqrt 2.0))) * [misc]backup-simplify: Simplify (- (/ -1 re)) into (/ 1 re) * [misc]backup-simplify: Simplify (+ 0 (/ 1 re)) into (/ 1 re) * [misc]backup-simplify: Simplify (/ (- (/ 1 re) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (/ 1 re) +nan.0)) * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (fabs (/ -1 im))) (/ (* +nan.0 (- (/ 1 re) +nan.0)) +nan.0)))) into (- (+ (* +nan.0 (fabs (/ -1 im))) (- (* +nan.0 (/ (fabs (/ -1 im)) re))))) * [misc]backup-simplify: Simplify (+ (* (sqrt 2.0) (- (+ (* +nan.0 (fabs (/ -1 im))) (- (* +nan.0 (/ (fabs (/ -1 im)) re)))))) (* 0 (* +nan.0 (fabs (/ -1 im))))) into (- (+ (* +nan.0 (/ (* (fabs (/ -1 im)) (sqrt 2.0)) re)) (- (* +nan.0 (* (fabs (/ -1 im)) (sqrt 2.0)))))) * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (/ (* (fabs (/ -1 im)) (sqrt 2.0)) re)) (- (* +nan.0 (* (fabs (/ -1 im)) (sqrt 2.0)))))) in re * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (/ (* (fabs (/ -1 im)) (sqrt 2.0)) re)) (- (* +nan.0 (* (fabs (/ -1 im)) (sqrt 2.0))))) in re * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (* (fabs (/ -1 im)) (sqrt 2.0)) re)) in re * [misc]taylor: Taking taylor expansion of +nan.0 in re * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (/ (* (fabs (/ -1 im)) (sqrt 2.0)) re) in re * [misc]taylor: Taking taylor expansion of (* (fabs (/ -1 im)) (sqrt 2.0)) in re * [misc]taylor: Taking taylor expansion of (fabs (/ -1 im)) in re * [misc]backup-simplify: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im)) * [misc]taylor: Taking taylor expansion of (sqrt 2.0) in re * [misc]taylor: Taking taylor expansion of 2.0 in re * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (sqrt 2.0) into (sqrt 2.0) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 * [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 (* (fabs (/ -1 im)) (sqrt 2.0)) into (* (fabs (/ -1 im)) (sqrt 2.0)) * [misc]backup-simplify: Simplify (/ (* (fabs (/ -1 im)) (sqrt 2.0)) 1) into (* (fabs (/ -1 im)) (sqrt 2.0)) * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (fabs (/ -1 im)) (sqrt 2.0)))) in re * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (fabs (/ -1 im)) (sqrt 2.0))) in re * [misc]taylor: Taking taylor expansion of +nan.0 in re * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (* (fabs (/ -1 im)) (sqrt 2.0)) in re * [misc]taylor: Taking taylor expansion of (fabs (/ -1 im)) in re * [misc]backup-simplify: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im)) * [misc]taylor: Taking taylor expansion of (sqrt 2.0) in re * [misc]taylor: Taking taylor expansion of 2.0 in re * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (sqrt 2.0) into (sqrt 2.0) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 * [misc]backup-simplify: Simplify (+ (* (fabs (/ -1 im)) 0) (* 0 (sqrt 2.0))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* (fabs (/ -1 im)) (sqrt 2.0)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (* (fabs (/ -1 im)) (sqrt 2.0)))) into 0 * [misc]backup-simplify: Simplify (* (fabs (/ -1 im)) (sqrt 2.0)) into (* (fabs (/ -1 im)) (sqrt 2.0)) * [misc]backup-simplify: Simplify (* +nan.0 (* (fabs (/ -1 im)) (sqrt 2.0))) into (* +nan.0 (* (fabs (/ -1 im)) (sqrt 2.0))) * [misc]backup-simplify: Simplify (- (* +nan.0 (* (fabs (/ -1 im)) (sqrt 2.0)))) into (- (* +nan.0 (* (fabs (/ -1 im)) (sqrt 2.0)))) * [misc]backup-simplify: Simplify (+ 0 (- (* +nan.0 (* (fabs (/ -1 im)) (sqrt 2.0))))) into (- (* +nan.0 (* (fabs (/ -1 im)) (sqrt 2.0)))) * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (fabs (/ -1 im)) (sqrt 2.0))))) into (- (* +nan.0 (* (fabs (/ -1 im)) (sqrt 2.0)))) * [misc]backup-simplify: Simplify (- (* +nan.0 (* (fabs (/ -1 im)) (sqrt 2.0)))) into (- (* +nan.0 (* (fabs (/ -1 im)) (sqrt 2.0)))) * [misc]backup-simplify: Simplify (+ (* (fabs (/ -1 im)) 0) (* 0 (sqrt 2.0))) into 0 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (* (fabs (/ -1 im)) (sqrt 2.0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (/ -1 re) (/ -1 re)) into (/ 1 (pow re 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2)) * [misc]backup-simplify: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) * [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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1/2 (pow re 2)) 0) into (* 1/2 (/ 1 (pow re 2))) * [misc]backup-simplify: Simplify (/ (- (* 1/2 (/ 1 (pow re 2))) (+ (* 2 (* +nan.0 (* +nan.0 (- (/ 1 re) +nan.0)))))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0)))) * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (fabs (/ -1 im))) (/ (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0)))) +nan.0)) (* (- (+ (* +nan.0 (fabs (/ -1 im))) (- (* +nan.0 (/ (fabs (/ -1 im)) re))))) (/ (* +nan.0 (- (/ 1 re) +nan.0)) +nan.0)))) into (- (+ (* +nan.0 (/ (fabs (/ -1 im)) (pow re 2))) (- (+ (* +nan.0 (/ (fabs (/ -1 im)) re)) (- (* +nan.0 (fabs (/ -1 im)))))))) * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt 2.0) (- (+ (* +nan.0 (/ (fabs (/ -1 im)) (pow re 2))) (- (+ (* +nan.0 (/ (fabs (/ -1 im)) re)) (- (* +nan.0 (fabs (/ -1 im))))))))) (+ (* 0 (- (+ (* +nan.0 (fabs (/ -1 im))) (- (* +nan.0 (/ (fabs (/ -1 im)) re)))))) (* 0 (* +nan.0 (fabs (/ -1 im)))))) into (- (+ (* +nan.0 (/ (* (fabs (/ -1 im)) (sqrt 2.0)) (pow re 2))) (- (+ (* +nan.0 (/ (* (fabs (/ -1 im)) (sqrt 2.0)) re)) (- (* +nan.0 (* (fabs (/ -1 im)) (sqrt 2.0)))))))) * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (/ (* (fabs (/ -1 im)) (sqrt 2.0)) (pow re 2))) (- (+ (* +nan.0 (/ (* (fabs (/ -1 im)) (sqrt 2.0)) re)) (- (* +nan.0 (* (fabs (/ -1 im)) (sqrt 2.0)))))))) in re * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (/ (* (fabs (/ -1 im)) (sqrt 2.0)) (pow re 2))) (- (+ (* +nan.0 (/ (* (fabs (/ -1 im)) (sqrt 2.0)) re)) (- (* +nan.0 (* (fabs (/ -1 im)) (sqrt 2.0))))))) in re * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (* (fabs (/ -1 im)) (sqrt 2.0)) (pow re 2))) in re * [misc]taylor: Taking taylor expansion of +nan.0 in re * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (/ (* (fabs (/ -1 im)) (sqrt 2.0)) (pow re 2)) in re * [misc]taylor: Taking taylor expansion of (* (fabs (/ -1 im)) (sqrt 2.0)) in re * [misc]taylor: Taking taylor expansion of (fabs (/ -1 im)) in re * [misc]backup-simplify: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im)) * [misc]taylor: Taking taylor expansion of (sqrt 2.0) in re * [misc]taylor: Taking taylor expansion of 2.0 in re * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (sqrt 2.0) into (sqrt 2.0) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 * [misc]taylor: Taking taylor expansion of (pow re 2) in re * [misc]backup-simplify: Simplify (* (fabs (/ -1 im)) (sqrt 2.0)) into (* (fabs (/ -1 im)) (sqrt 2.0)) * [misc]backup-simplify: Simplify (/ (* (fabs (/ -1 im)) (sqrt 2.0)) 1) into (* (fabs (/ -1 im)) (sqrt 2.0)) * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (/ (* (fabs (/ -1 im)) (sqrt 2.0)) re)) (- (* +nan.0 (* (fabs (/ -1 im)) (sqrt 2.0)))))) in re * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (/ (* (fabs (/ -1 im)) (sqrt 2.0)) re)) (- (* +nan.0 (* (fabs (/ -1 im)) (sqrt 2.0))))) in re * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (* (fabs (/ -1 im)) (sqrt 2.0)) re)) in re * [misc]taylor: Taking taylor expansion of +nan.0 in re * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (/ (* (fabs (/ -1 im)) (sqrt 2.0)) re) in re * [misc]taylor: Taking taylor expansion of (* (fabs (/ -1 im)) (sqrt 2.0)) in re * [misc]taylor: Taking taylor expansion of (fabs (/ -1 im)) in re * [misc]backup-simplify: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im)) * [misc]taylor: Taking taylor expansion of (sqrt 2.0) in re * [misc]taylor: Taking taylor expansion of 2.0 in re * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (sqrt 2.0) into (sqrt 2.0) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 * [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 (* (fabs (/ -1 im)) (sqrt 2.0)) into (* (fabs (/ -1 im)) (sqrt 2.0)) * [misc]backup-simplify: Simplify (/ (* (fabs (/ -1 im)) (sqrt 2.0)) 1) into (* (fabs (/ -1 im)) (sqrt 2.0)) * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (fabs (/ -1 im)) (sqrt 2.0)))) in re * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (fabs (/ -1 im)) (sqrt 2.0))) in re * [misc]taylor: Taking taylor expansion of +nan.0 in re * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (* (fabs (/ -1 im)) (sqrt 2.0)) in re * [misc]taylor: Taking taylor expansion of (fabs (/ -1 im)) in re * [misc]backup-simplify: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im)) * [misc]taylor: Taking taylor expansion of (sqrt 2.0) in re * [misc]taylor: Taking taylor expansion of 2.0 in re * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (sqrt 2.0) into (sqrt 2.0) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 * [misc]backup-simplify: Simplify (+ (* (fabs (/ -1 im)) 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 * [misc]backup-simplify: Simplify (+ (* (fabs (/ -1 im)) 0) (* 0 (sqrt 2.0))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* (fabs (/ -1 im)) (sqrt 2.0)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* (fabs (/ -1 im)) (sqrt 2.0)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (* (fabs (/ -1 im)) (sqrt 2.0))))) into 0 * [misc]backup-simplify: Simplify (+ (* (fabs (/ -1 im)) 0) (* 0 (sqrt 2.0))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* (fabs (/ -1 im)) (sqrt 2.0)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (* (fabs (/ -1 im)) (sqrt 2.0)))) into 0 * [misc]backup-simplify: Simplify (* (fabs (/ -1 im)) (sqrt 2.0)) into (* (fabs (/ -1 im)) (sqrt 2.0)) * [misc]backup-simplify: Simplify (* +nan.0 (* (fabs (/ -1 im)) (sqrt 2.0))) into (* +nan.0 (* (fabs (/ -1 im)) (sqrt 2.0))) * [misc]backup-simplify: Simplify (- (* +nan.0 (* (fabs (/ -1 im)) (sqrt 2.0)))) into (- (* +nan.0 (* (fabs (/ -1 im)) (sqrt 2.0)))) * [misc]backup-simplify: Simplify (+ 0 (- (* +nan.0 (* (fabs (/ -1 im)) (sqrt 2.0))))) into (- (* +nan.0 (* (fabs (/ -1 im)) (sqrt 2.0)))) * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (fabs (/ -1 im)) (sqrt 2.0))))) into (- (* +nan.0 (* (fabs (/ -1 im)) (sqrt 2.0)))) * [misc]backup-simplify: Simplify (+ 0 (- (* +nan.0 (* (fabs (/ -1 im)) (sqrt 2.0))))) into (- (* +nan.0 (* (fabs (/ -1 im)) (sqrt 2.0)))) * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (fabs (/ -1 im)) (sqrt 2.0))))) into (- (* +nan.0 (* (fabs (/ -1 im)) (sqrt 2.0)))) * [misc]backup-simplify: Simplify (- (* +nan.0 (* (fabs (/ -1 im)) (sqrt 2.0)))) into (- (* +nan.0 (* (fabs (/ -1 im)) (sqrt 2.0)))) * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (* (fabs (/ -1 (/ 1 (- im)))) (sqrt 2.0)))) (pow (* 1 (/ 1 (- im))) 2)) (+ (* (- (* +nan.0 (* (fabs (/ -1 (/ 1 (- im)))) (sqrt 2.0)))) (* 1 (/ 1 (- im)))) (* +nan.0 (* (fabs (/ -1 (/ 1 (- im)))) (sqrt 2.0))))) into (- (+ (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (pow im 2))) (- (+ (* +nan.0 (* (fabs im) (sqrt 2.0))) (- (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) im))))))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 2) * [misc]approximate: Taking taylor expansion of (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) in (im re) around 0 * [misc]taylor: Taking taylor expansion of (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) in re * [misc]taylor: Taking taylor expansion of (fabs im) in re * [misc]backup-simplify: Simplify (fabs im) into (fabs im) * [misc]taylor: Taking taylor expansion of (sqrt (- (sqrt (+ (* re re) (* im im))) re)) in re * [misc]taylor: Taking taylor expansion of (- (sqrt (+ (* re re) (* im im))) re) in re * [misc]taylor: Taking taylor expansion of (sqrt (+ (* re re) (* im im))) in re * [misc]taylor: Taking taylor expansion of (+ (* re re) (* im im)) in re * [misc]taylor: Taking taylor expansion of (* re 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 re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* im im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* im im) into (pow im 2) * [misc]backup-simplify: Simplify (+ 0 (pow im 2)) into (pow im 2) * [misc]backup-simplify: Simplify (sqrt (pow im 2)) into im * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* im 0) (* 0 im)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 * [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 (+ im 0) into im * [misc]backup-simplify: Simplify (sqrt im) into (sqrt im) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt im))) into (* -1/2 (sqrt (/ 1 im))) * [misc]backup-simplify: Simplify (/ (fabs im) (sqrt im)) into (* (fabs im) (sqrt (/ 1 im))) * [misc]taylor: Taking taylor expansion of (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) in im * [misc]taylor: Taking taylor expansion of (fabs im) in im * [misc]backup-simplify: Simplify (fabs im) into (fabs im) * [misc]taylor: Taking taylor expansion of (sqrt (- (sqrt (+ (* re re) (* im im))) re)) in im * [misc]taylor: Taking taylor expansion of (- (sqrt (+ (* re re) (* im im))) re) in im * [misc]taylor: Taking taylor expansion of (sqrt (+ (* re re) (* im im))) in im * [misc]taylor: Taking taylor expansion of (+ (* re re) (* im im)) in im * [misc]taylor: Taking taylor expansion of (* re re) in im * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]taylor: Taking taylor expansion of (* im 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]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 (* re re) into (pow re 2) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow re 2) 0) into (pow re 2) * [misc]backup-simplify: Simplify (sqrt (pow re 2)) into re * [misc]backup-simplify: Simplify (+ (* re 0) (* 0 re)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 * [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 (- re)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re)) * [misc]backup-simplify: Simplify (sqrt (* 1/2 (/ 1 re))) into (* (sqrt 1/2) (sqrt (/ 1 re))) * [misc]backup-simplify: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* 1/2 (/ 1 re))))) into 0 * [misc]backup-simplify: Simplify (/ (fabs im) (* (sqrt 1/2) (sqrt (/ 1 re)))) into (* (/ (fabs im) (sqrt 1/2)) (sqrt re)) * [misc]taylor: Taking taylor expansion of (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) in im * [misc]taylor: Taking taylor expansion of (fabs im) in im * [misc]backup-simplify: Simplify (fabs im) into (fabs im) * [misc]taylor: Taking taylor expansion of (sqrt (- (sqrt (+ (* re re) (* im im))) re)) in im * [misc]taylor: Taking taylor expansion of (- (sqrt (+ (* re re) (* im im))) re) in im * [misc]taylor: Taking taylor expansion of (sqrt (+ (* re re) (* im im))) in im * [misc]taylor: Taking taylor expansion of (+ (* re re) (* im im)) in im * [misc]taylor: Taking taylor expansion of (* re re) in im * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]taylor: Taking taylor expansion of (* im 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]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 (* re re) into (pow re 2) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow re 2) 0) into (pow re 2) * [misc]backup-simplify: Simplify (sqrt (pow re 2)) into re * [misc]backup-simplify: Simplify (+ (* re 0) (* 0 re)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 * [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 (- re)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re)) * [misc]backup-simplify: Simplify (sqrt (* 1/2 (/ 1 re))) into (* (sqrt 1/2) (sqrt (/ 1 re))) * [misc]backup-simplify: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* 1/2 (/ 1 re))))) into 0 * [misc]backup-simplify: Simplify (/ (fabs im) (* (sqrt 1/2) (sqrt (/ 1 re)))) into (* (/ (fabs im) (sqrt 1/2)) (sqrt re)) * [misc]taylor: Taking taylor expansion of (* (/ (fabs im) (sqrt 1/2)) (sqrt re)) in re * [misc]taylor: Taking taylor expansion of (/ (fabs im) (sqrt 1/2)) in re * [misc]taylor: Taking taylor expansion of (fabs im) in re * [misc]backup-simplify: Simplify (fabs im) into (fabs im) * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in re * [misc]taylor: Taking taylor expansion of 1/2 in re * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 * [misc]backup-simplify: Simplify (/ (fabs im) (sqrt 1/2)) into (/ (fabs im) (sqrt 1/2)) * [misc]taylor: Taking taylor expansion of (sqrt 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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (* (/ (fabs im) (sqrt 1/2)) 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* (sqrt 1/2) (sqrt (/ 1 re)))) (+ (* (* (/ (fabs im) (sqrt 1/2)) (sqrt re)) (/ 0 (* (sqrt 1/2) (sqrt (/ 1 re))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 1/2)) (+ (* (/ (fabs im) (sqrt 1/2)) (/ 0 (sqrt 1/2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (fabs im) (sqrt 1/2)) +nan.0) (* 0 0)) into (- (* +nan.0 (/ (fabs im) (sqrt 1/2)))) * [misc]backup-simplify: Simplify (- (* +nan.0 (/ (fabs im) (sqrt 1/2)))) into (- (* +nan.0 (/ (fabs im) (sqrt 1/2)))) * [misc]backup-simplify: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 re))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ 1/2 re) 2) (+ (* 2 (* 0 0)))) (* 2 re)) into (/ -1/8 (pow re 3)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ -1/8 (pow re 3)) 0) into (- (* 1/8 (/ 1 (pow re 3)))) * [misc]backup-simplify: Simplify (/ (- (- (* 1/8 (/ 1 (pow re 3)))) (pow 0 2) (+)) (* 2 (* (sqrt 1/2) (sqrt (/ 1 re))))) into (* -1/16 (* (/ 1 (sqrt 1/2)) (sqrt (/ 1 (pow re 5))))) * [misc]backup-simplify: Simplify (- (/ 0 (* (sqrt 1/2) (sqrt (/ 1 re)))) (+ (* (* (/ (fabs im) (sqrt 1/2)) (sqrt re)) (/ (* -1/16 (* (/ 1 (sqrt 1/2)) (sqrt (/ 1 (pow re 5))))) (* (sqrt 1/2) (sqrt (/ 1 re))))) (* 0 (/ 0 (* (sqrt 1/2) (sqrt (/ 1 re))))))) into (* 1/16 (* (/ (fabs im) (pow (sqrt 1/2) 3)) (sqrt (/ 1 (pow re 3))))) * [misc]taylor: Taking taylor expansion of (* 1/16 (* (/ (fabs im) (pow (sqrt 1/2) 3)) (sqrt (/ 1 (pow re 3))))) in re * [misc]taylor: Taking taylor expansion of 1/16 in re * [misc]backup-simplify: Simplify 1/16 into 1/16 * [misc]taylor: Taking taylor expansion of (* (/ (fabs im) (pow (sqrt 1/2) 3)) (sqrt (/ 1 (pow re 3)))) in re * [misc]taylor: Taking taylor expansion of (/ (fabs im) (pow (sqrt 1/2) 3)) in re * [misc]taylor: Taking taylor expansion of (fabs im) in re * [misc]backup-simplify: Simplify (fabs im) into (fabs im) * [misc]taylor: Taking taylor expansion of (pow (sqrt 1/2) 3) in re * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (sqrt 1/2)))) in re * [misc]taylor: Taking taylor expansion of (* 3 (log (sqrt 1/2))) in re * [misc]taylor: Taking taylor expansion of 3 in re * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (sqrt 1/2)) in re * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in re * [misc]taylor: Taking taylor expansion of 1/2 in re * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 * [misc]backup-simplify: Simplify (log (sqrt 1/2)) into (log (sqrt 1/2)) * [misc]backup-simplify: Simplify (* 3 (log (sqrt 1/2))) into (* 3 (log (sqrt 1/2))) * [misc]backup-simplify: Simplify (exp (* 3 (log (sqrt 1/2)))) into (pow (sqrt 1/2) 3) * [misc]backup-simplify: Simplify (/ (fabs im) (pow (sqrt 1/2) 3)) into (/ (fabs im) (pow (sqrt 1/2) 3)) * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (pow re 3))) in re * [misc]taylor: Taking taylor expansion of (/ 1 (pow re 3)) in re * [misc]taylor: Taking taylor expansion of (pow re 3) in re * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt 1/2) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (log (sqrt 1/2)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (sqrt 1/2)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (sqrt 1/2) 3)) (+ (* (/ (fabs im) (pow (sqrt 1/2) 3)) (/ 0 (pow (sqrt 1/2) 3))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt 1/2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt 1/2) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (log (sqrt 1/2))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (sqrt 1/2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (sqrt 1/2) 3)) (+ (* (/ (fabs im) (pow (sqrt 1/2) 3)) (/ 0 (pow (sqrt 1/2) 3))) (* 0 (/ 0 (pow (sqrt 1/2) 3))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (fabs im) (pow (sqrt 1/2) 3)) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (/ (fabs im) (pow (sqrt 1/2) 3)))) * [misc]backup-simplify: Simplify (+ (* (/ (fabs im) (pow (sqrt 1/2) 3)) +nan.0) (* 0 0)) into (- (* +nan.0 (/ (fabs im) (pow (sqrt 1/2) 3)))) * [misc]backup-simplify: Simplify (* (/ (fabs im) (pow (sqrt 1/2) 3)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/16 (- (* +nan.0 (/ (fabs im) (pow (sqrt 1/2) 3))))) (+ (* 0 (- (* +nan.0 (/ (fabs im) (pow (sqrt 1/2) 3))))) (* 0 0))) into (- (* +nan.0 (/ (fabs im) (pow (sqrt 1/2) 3)))) * [misc]backup-simplify: Simplify (- (* +nan.0 (/ (fabs im) (pow (sqrt 1/2) 3)))) into (- (* +nan.0 (/ (fabs im) (pow (sqrt 1/2) 3)))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 1/2)) (+ (* (/ (fabs im) (sqrt 1/2)) (/ 0 (sqrt 1/2))) (* 0 (/ 0 (sqrt 1/2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (fabs im) (sqrt 1/2)) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (/ (fabs im) (sqrt 1/2)))) * [misc]backup-simplify: Simplify (- (* +nan.0 (/ (fabs im) (sqrt 1/2)))) into (- (* +nan.0 (/ (fabs im) (sqrt 1/2)))) * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (/ (fabs im) (sqrt 1/2)))) (* (pow re 2) (/ 1 im))) (+ (* (- (* +nan.0 (/ (fabs im) (pow (sqrt 1/2) 3)))) (* 1 im)) (* (- (* +nan.0 (/ (fabs im) (sqrt 1/2)))) (* re (/ 1 im))))) into (- (+ (* +nan.0 (/ (* (fabs im) im) (pow (sqrt 1/2) 3))) (- (+ (* +nan.0 (/ (* (fabs im) re) (* (sqrt 1/2) im))) (- (* +nan.0 (/ (* (fabs im) (pow re 2)) (* (sqrt 1/2) im)))))))) * [misc]approximate: Taking taylor expansion of (/ (fabs (/ 1 im)) (sqrt (- (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)))) in (im re) around 0 * [misc]taylor: Taking taylor expansion of (/ (fabs (/ 1 im)) (sqrt (- (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)))) in re * [misc]taylor: Taking taylor expansion of (fabs (/ 1 im)) in re * [misc]backup-simplify: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im)) * [misc]taylor: Taking taylor expansion of (sqrt (- (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re))) in re * [misc]taylor: Taking taylor expansion of (- (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) in re * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) in re * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re * [misc]taylor: Taking taylor expansion of (* (/ 1 re) (/ 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]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]taylor: Taking taylor expansion of (* (/ 1 im) (/ 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]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 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (/ 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 (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) * [misc]backup-simplify: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) * [misc]backup-simplify: Simplify (/ (fabs (/ 1 im)) (/ +nan.0 (pow im 2))) into (* +nan.0 (* (fabs (/ 1 im)) (pow im 2))) * [misc]taylor: Taking taylor expansion of (/ (fabs (/ 1 im)) (sqrt (- (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)))) in im * [misc]taylor: Taking taylor expansion of (fabs (/ 1 im)) in im * [misc]backup-simplify: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im)) * [misc]taylor: Taking taylor expansion of (sqrt (- (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re))) in im * [misc]taylor: Taking taylor expansion of (- (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) in im * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) in im * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im * [misc]taylor: Taking taylor expansion of (* (/ 1 re) (/ 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]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]taylor: Taking taylor expansion of (* (/ 1 im) (/ 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]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 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (/ 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 (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (/ (fabs (/ 1 im)) +nan.0) into (* +nan.0 (fabs (/ 1 im))) * [misc]taylor: Taking taylor expansion of (/ (fabs (/ 1 im)) (sqrt (- (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)))) in im * [misc]taylor: Taking taylor expansion of (fabs (/ 1 im)) in im * [misc]backup-simplify: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im)) * [misc]taylor: Taking taylor expansion of (sqrt (- (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re))) in im * [misc]taylor: Taking taylor expansion of (- (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) in im * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) in im * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im * [misc]taylor: Taking taylor expansion of (* (/ 1 re) (/ 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]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]taylor: Taking taylor expansion of (* (/ 1 im) (/ 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]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 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (/ 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 (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (/ (fabs (/ 1 im)) +nan.0) into (* +nan.0 (fabs (/ 1 im))) * [misc]taylor: Taking taylor expansion of (* +nan.0 (fabs (/ 1 im))) in re * [misc]taylor: Taking taylor expansion of +nan.0 in re * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (fabs (/ 1 im)) in re * [misc]backup-simplify: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im)) * [misc]backup-simplify: Simplify (- (/ 1 re)) into (- (/ 1 re)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 re))) into (- (/ 1 re)) * [misc]backup-simplify: Simplify (/ (- (- (/ 1 re)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ (/ 1 re) (- +nan.0))) * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (fabs (/ 1 im))) (/ (* +nan.0 (+ (/ 1 re) (- +nan.0))) +nan.0)))) into (- (+ (* +nan.0 (/ (fabs (/ 1 im)) re)) (- (* +nan.0 (fabs (/ 1 im)))))) * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (/ (fabs (/ 1 im)) re)) (- (* +nan.0 (fabs (/ 1 im)))))) in re * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (/ (fabs (/ 1 im)) re)) (- (* +nan.0 (fabs (/ 1 im))))) in re * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (fabs (/ 1 im)) re)) in re * [misc]taylor: Taking taylor expansion of +nan.0 in re * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (/ (fabs (/ 1 im)) re) in re * [misc]taylor: Taking taylor expansion of (fabs (/ 1 im)) in re * [misc]backup-simplify: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im)) * [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 (/ (fabs (/ 1 im)) 1) into (fabs (/ 1 im)) * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (fabs (/ 1 im)))) in re * [misc]taylor: Taking taylor expansion of (* +nan.0 (fabs (/ 1 im))) in re * [misc]taylor: Taking taylor expansion of +nan.0 in re * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (fabs (/ 1 im)) in re * [misc]backup-simplify: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im)) * [misc]backup-simplify: Simplify (* +nan.0 (fabs (/ 1 im))) into (* +nan.0 (fabs (/ 1 im))) * [misc]backup-simplify: Simplify (+ (* +nan.0 (fabs (/ 1 im))) 0) into (- (* +nan.0 (fabs (/ 1 im)))) * [misc]backup-simplify: Simplify (- (- (* +nan.0 (fabs (/ 1 im))))) into (- (* +nan.0 (fabs (/ 1 im)))) * [misc]backup-simplify: Simplify (- (* +nan.0 (fabs (/ 1 im)))) into (- (* +nan.0 (fabs (/ 1 im)))) * [misc]backup-simplify: Simplify (* +nan.0 (fabs (/ 1 im))) into (* +nan.0 (fabs (/ 1 im))) * [misc]backup-simplify: Simplify (* +nan.0 (fabs (/ 1 im))) into (* +nan.0 (fabs (/ 1 im))) * [misc]backup-simplify: Simplify (* (/ 1 re) (/ 1 re)) into (/ 1 (pow re 2)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2)) * [misc]backup-simplify: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1/2 (pow re 2)) 0) into (* 1/2 (/ 1 (pow re 2))) * [misc]backup-simplify: Simplify (/ (- (* 1/2 (/ 1 (pow re 2))) (+ (* 2 (* +nan.0 (* +nan.0 (+ (/ 1 re) (- +nan.0))))))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0)))) * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (fabs (/ 1 im))) (/ (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0)))) +nan.0)) (* (- (+ (* +nan.0 (/ (fabs (/ 1 im)) re)) (- (* +nan.0 (fabs (/ 1 im)))))) (/ (* +nan.0 (+ (/ 1 re) (- +nan.0))) +nan.0)))) into (- (+ (* +nan.0 (/ (fabs (/ 1 im)) re)) (- (+ (* +nan.0 (fabs (/ 1 im))) (- (* +nan.0 (/ (fabs (/ 1 im)) (pow re 2)))))))) * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (/ (fabs (/ 1 im)) re)) (- (+ (* +nan.0 (fabs (/ 1 im))) (- (* +nan.0 (/ (fabs (/ 1 im)) (pow re 2)))))))) in re * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (/ (fabs (/ 1 im)) re)) (- (+ (* +nan.0 (fabs (/ 1 im))) (- (* +nan.0 (/ (fabs (/ 1 im)) (pow re 2))))))) in re * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (fabs (/ 1 im)) re)) in re * [misc]taylor: Taking taylor expansion of +nan.0 in re * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (/ (fabs (/ 1 im)) re) in re * [misc]taylor: Taking taylor expansion of (fabs (/ 1 im)) in re * [misc]backup-simplify: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im)) * [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 (/ (fabs (/ 1 im)) 1) into (fabs (/ 1 im)) * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (fabs (/ 1 im))) (- (* +nan.0 (/ (fabs (/ 1 im)) (pow re 2)))))) in re * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (fabs (/ 1 im))) (- (* +nan.0 (/ (fabs (/ 1 im)) (pow re 2))))) in re * [misc]taylor: Taking taylor expansion of (* +nan.0 (fabs (/ 1 im))) in re * [misc]taylor: Taking taylor expansion of +nan.0 in re * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (fabs (/ 1 im)) in re * [misc]backup-simplify: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im)) * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (fabs (/ 1 im)) (pow re 2)))) in re * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (fabs (/ 1 im)) (pow re 2))) in re * [misc]taylor: Taking taylor expansion of +nan.0 in re * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (/ (fabs (/ 1 im)) (pow re 2)) in re * [misc]taylor: Taking taylor expansion of (fabs (/ 1 im)) in re * [misc]backup-simplify: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im)) * [misc]taylor: Taking taylor expansion of (pow re 2) in re * [misc]backup-simplify: Simplify (/ (fabs (/ 1 im)) 1) into (fabs (/ 1 im)) * [misc]backup-simplify: Simplify (* +nan.0 (fabs (/ 1 im))) into (* +nan.0 (fabs (/ 1 im))) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (fabs (/ 1 im)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (fabs (/ 1 im)))) 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 (+ (* +nan.0 (fabs (/ 1 im))) 0) into (- (* +nan.0 (fabs (/ 1 im)))) * [misc]backup-simplify: Simplify (- (- (* +nan.0 (fabs (/ 1 im))))) into (- (* +nan.0 (fabs (/ 1 im)))) * [misc]backup-simplify: Simplify (- (* +nan.0 (fabs (/ 1 im)))) into (- (* +nan.0 (fabs (/ 1 im)))) * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (fabs (/ 1 (/ 1 im))))) (* (/ 1 (/ 1 re)) (pow (/ 1 im) 2))) (+ (* +nan.0 (fabs (/ 1 (/ 1 im)))) (* (- (* +nan.0 (fabs (/ 1 (/ 1 im))))) (* (/ 1 (/ 1 re)) (/ 1 im))))) into (- (+ (* +nan.0 (fabs im)) (- (+ (* +nan.0 (/ (* (fabs im) re) (pow im 2))) (- (* +nan.0 (/ (* (fabs im) re) im))))))) * [misc]approximate: Taking taylor expansion of (/ (fabs (/ 1 (- im))) (sqrt (- (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))))) in (im re) around 0 * [misc]taylor: Taking taylor expansion of (/ (fabs (/ 1 (- im))) (sqrt (- (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))))) in re * [misc]taylor: Taking taylor expansion of (fabs (/ 1 (- im))) in re * [misc]backup-simplify: Simplify (fabs (/ 1 (- im))) into (fabs (/ -1 im)) * [misc]taylor: Taking taylor expansion of (sqrt (- (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re)))) in re * [misc]taylor: Taking taylor expansion of (- (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) in re * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) in re * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re * [misc]taylor: Taking taylor expansion of (* (/ 1 (- re)) (/ 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]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]taylor: Taking taylor expansion of (* (/ 1 (- im)) (/ 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]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 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (/ 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 (- -1) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (/ (fabs (/ -1 im)) +nan.0) into (* +nan.0 (fabs (/ -1 im))) * [misc]taylor: Taking taylor expansion of (/ (fabs (/ 1 (- im))) (sqrt (- (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))))) in im * [misc]taylor: Taking taylor expansion of (fabs (/ 1 (- im))) in im * [misc]backup-simplify: Simplify (fabs (/ 1 (- im))) into (fabs (/ -1 im)) * [misc]taylor: Taking taylor expansion of (sqrt (- (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re)))) in im * [misc]taylor: Taking taylor expansion of (- (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) in im * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) in im * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in im * [misc]taylor: Taking taylor expansion of (* (/ 1 (- re)) (/ 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]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]taylor: Taking taylor expansion of (* (/ 1 (- im)) (/ 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]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 -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [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 (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (/ (fabs (/ -1 im)) +nan.0) into (* +nan.0 (fabs (/ -1 im))) * [misc]taylor: Taking taylor expansion of (/ (fabs (/ 1 (- im))) (sqrt (- (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))))) in im * [misc]taylor: Taking taylor expansion of (fabs (/ 1 (- im))) in im * [misc]backup-simplify: Simplify (fabs (/ 1 (- im))) into (fabs (/ -1 im)) * [misc]taylor: Taking taylor expansion of (sqrt (- (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re)))) in im * [misc]taylor: Taking taylor expansion of (- (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) in im * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) in im * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in im * [misc]taylor: Taking taylor expansion of (* (/ 1 (- re)) (/ 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]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]taylor: Taking taylor expansion of (* (/ 1 (- im)) (/ 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]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 -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [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 (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (/ (fabs (/ -1 im)) +nan.0) into (* +nan.0 (fabs (/ -1 im))) * [misc]taylor: Taking taylor expansion of (* +nan.0 (fabs (/ -1 im))) in re * [misc]taylor: Taking taylor expansion of +nan.0 in re * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (fabs (/ -1 im)) in re * [misc]backup-simplify: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im)) * [misc]backup-simplify: Simplify (* +nan.0 (fabs (/ -1 im))) into (* +nan.0 (fabs (/ -1 im))) * [misc]backup-simplify: Simplify (* +nan.0 (fabs (/ -1 im))) into (* +nan.0 (fabs (/ -1 im))) * [misc]backup-simplify: Simplify (- (/ -1 re)) into (/ 1 re) * [misc]backup-simplify: Simplify (+ 0 (/ 1 re)) into (/ 1 re) * [misc]backup-simplify: Simplify (/ (- (/ 1 re) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (/ 1 re) +nan.0)) * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (fabs (/ -1 im))) (/ (* +nan.0 (- (/ 1 re) +nan.0)) +nan.0)))) into (- (+ (* +nan.0 (fabs (/ -1 im))) (- (* +nan.0 (/ (fabs (/ -1 im)) re))))) * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (fabs (/ -1 im))) (- (* +nan.0 (/ (fabs (/ -1 im)) re))))) in re * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (fabs (/ -1 im))) (- (* +nan.0 (/ (fabs (/ -1 im)) re)))) in re * [misc]taylor: Taking taylor expansion of (* +nan.0 (fabs (/ -1 im))) in re * [misc]taylor: Taking taylor expansion of +nan.0 in re * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (fabs (/ -1 im)) in re * [misc]backup-simplify: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im)) * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (fabs (/ -1 im)) re))) in re * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (fabs (/ -1 im)) re)) in re * [misc]taylor: Taking taylor expansion of +nan.0 in re * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (/ (fabs (/ -1 im)) re) in re * [misc]taylor: Taking taylor expansion of (fabs (/ -1 im)) in re * [misc]backup-simplify: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im)) * [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 (/ (fabs (/ -1 im)) 1) into (fabs (/ -1 im)) * [misc]backup-simplify: Simplify (* +nan.0 (fabs (/ -1 im))) into (* +nan.0 (fabs (/ -1 im))) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (fabs (/ -1 im)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (fabs (/ -1 im)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* +nan.0 (fabs (/ -1 im))) 0) into (- (* +nan.0 (fabs (/ -1 im)))) * [misc]backup-simplify: Simplify (- (- (* +nan.0 (fabs (/ -1 im))))) into (- (* +nan.0 (fabs (/ -1 im)))) * [misc]backup-simplify: Simplify (- (* +nan.0 (fabs (/ -1 im)))) into (- (* +nan.0 (fabs (/ -1 im)))) * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (fabs (/ -1 im)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (/ -1 re) (/ -1 re)) into (/ 1 (pow re 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2)) * [misc]backup-simplify: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) * [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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1/2 (pow re 2)) 0) into (* 1/2 (/ 1 (pow re 2))) * [misc]backup-simplify: Simplify (/ (- (* 1/2 (/ 1 (pow re 2))) (+ (* 2 (* +nan.0 (* +nan.0 (- (/ 1 re) +nan.0)))))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0)))) * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (fabs (/ -1 im))) (/ (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0)))) +nan.0)) (* (- (+ (* +nan.0 (fabs (/ -1 im))) (- (* +nan.0 (/ (fabs (/ -1 im)) re))))) (/ (* +nan.0 (- (/ 1 re) +nan.0)) +nan.0)))) into (- (+ (* +nan.0 (/ (fabs (/ -1 im)) (pow re 2))) (- (+ (* +nan.0 (/ (fabs (/ -1 im)) re)) (- (* +nan.0 (fabs (/ -1 im)))))))) * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (/ (fabs (/ -1 im)) (pow re 2))) (- (+ (* +nan.0 (/ (fabs (/ -1 im)) re)) (- (* +nan.0 (fabs (/ -1 im)))))))) in re * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (/ (fabs (/ -1 im)) (pow re 2))) (- (+ (* +nan.0 (/ (fabs (/ -1 im)) re)) (- (* +nan.0 (fabs (/ -1 im))))))) in re * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (fabs (/ -1 im)) (pow re 2))) in re * [misc]taylor: Taking taylor expansion of +nan.0 in re * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (/ (fabs (/ -1 im)) (pow re 2)) in re * [misc]taylor: Taking taylor expansion of (fabs (/ -1 im)) in re * [misc]backup-simplify: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im)) * [misc]taylor: Taking taylor expansion of (pow re 2) in re * [misc]backup-simplify: Simplify (/ (fabs (/ -1 im)) 1) into (fabs (/ -1 im)) * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (/ (fabs (/ -1 im)) re)) (- (* +nan.0 (fabs (/ -1 im)))))) in re * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (/ (fabs (/ -1 im)) re)) (- (* +nan.0 (fabs (/ -1 im))))) in re * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (fabs (/ -1 im)) re)) in re * [misc]taylor: Taking taylor expansion of +nan.0 in re * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (/ (fabs (/ -1 im)) re) in re * [misc]taylor: Taking taylor expansion of (fabs (/ -1 im)) in re * [misc]backup-simplify: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im)) * [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 (/ (fabs (/ -1 im)) 1) into (fabs (/ -1 im)) * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (fabs (/ -1 im)))) in re * [misc]taylor: Taking taylor expansion of (* +nan.0 (fabs (/ -1 im))) in re * [misc]taylor: Taking taylor expansion of +nan.0 in re * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (fabs (/ -1 im)) in re * [misc]backup-simplify: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im)) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (fabs (/ -1 im)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (fabs (/ -1 im)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (fabs (/ -1 im))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (fabs (/ -1 im)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (fabs (/ -1 im)))) into 0 * [misc]backup-simplify: Simplify (* +nan.0 (fabs (/ -1 im))) into (* +nan.0 (fabs (/ -1 im))) * [misc]backup-simplify: Simplify (- (* +nan.0 (fabs (/ -1 im)))) into (- (* +nan.0 (fabs (/ -1 im)))) * [misc]backup-simplify: Simplify (+ 0 (- (* +nan.0 (fabs (/ -1 im))))) into (- (* +nan.0 (fabs (/ -1 im)))) * [misc]backup-simplify: Simplify (- (- (* +nan.0 (fabs (/ -1 im))))) into (- (* +nan.0 (fabs (/ -1 im)))) * [misc]backup-simplify: Simplify (+ 0 (- (* +nan.0 (fabs (/ -1 im))))) into (- (* +nan.0 (fabs (/ -1 im)))) * [misc]backup-simplify: Simplify (- (- (* +nan.0 (fabs (/ -1 im))))) into (- (* +nan.0 (fabs (/ -1 im)))) * [misc]backup-simplify: Simplify (- (* +nan.0 (fabs (/ -1 im)))) into (- (* +nan.0 (fabs (/ -1 im)))) * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (fabs (/ -1 (/ 1 (- im)))))) (pow (* 1 (/ 1 (- im))) 2)) (+ (* (- (* +nan.0 (fabs (/ -1 (/ 1 (- im)))))) (* 1 (/ 1 (- im)))) (* +nan.0 (fabs (/ -1 (/ 1 (- im))))))) into (- (+ (* +nan.0 (fabs im)) (- (+ (* +nan.0 (/ (fabs im) im)) (- (* +nan.0 (/ (fabs im) (pow im 2)))))))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 119 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 119 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (+ (* re re) (* im im)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (log (sqrt (+ (* im im) (* re re)))) * [exit]simplify: Simplified to (log (sqrt (+ (* im im) (* re re)))) * * * * [misc]progress: [ 4 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (+ (* re re) (* im im)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (exp (sqrt (+ (* im im) (* re re)))) * [exit]simplify: Simplified to (exp (sqrt (+ (* im im) (* re re)))) * * * * [misc]progress: [ 5 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ (* im im) (* re re)))) (cbrt (sqrt (+ (* im im) (* re re))))) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ (* im im) (* re re)))) (cbrt (sqrt (+ (* im im) (* re re))))) * [enter]simplify: Simplifying (cbrt (sqrt (+ (* re re) (* im im)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ (* im im) (* re re)))) * [exit]simplify: Simplified to (cbrt (sqrt (+ (* im im) (* re re)))) * * * * [misc]progress: [ 6 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * [exit]simplify: Simplified to (* (+ (* im im) (* re re)) (sqrt (+ (* im im) (* re re)))) * [exit]simplify: Simplified to (* (+ (* im im) (* re re)) (sqrt (+ (* im im) (* re re)))) * * * * [misc]progress: [ 7 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (fabs (cbrt (+ (* im im) (* re re)))) * [exit]simplify: Simplified to (fabs (cbrt (+ (* im im) (* re re)))) * [enter]simplify: Simplifying (sqrt (cbrt (+ (* re re) (* im im)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (+ (* im im) (* re re)))) * [exit]simplify: Simplified to (sqrt (cbrt (+ (* im im) (* re re)))) * * * * [misc]progress: [ 8 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ (* re re) (* im im)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* im im) (* re re)))) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* im im) (* re re)))) * [enter]simplify: Simplifying (sqrt (sqrt (+ (* re re) (* im im)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* im im) (* re re)))) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* im im) (* re re)))) * * * * [misc]progress: [ 9 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [exit]simplify: Simplified to (sqrt 1) * [enter]simplify: Simplifying (sqrt (+ (* re re) (* im im))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (sqrt (+ (* im im) (* re re))) * [exit]simplify: Simplified to (sqrt (+ (* im im) (* re re))) * * * * [misc]progress: [ 10 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (pow im 3) (pow im 3)) (pow (* re re) 3))) * [exit]simplify: Simplified to (sqrt (+ (* (pow im 3) (pow im 3)) (pow (* re re) 3))) * [enter]simplify: Simplifying (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (134 enodes) * * [misc]simplify: iters left: 2 (235 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (- (* re re) (* im im)) (* re re)) (* (* im im) (* im im)))) * [exit]simplify: Simplified to (sqrt (+ (* (- (* re re) (* im im)) (* re re)) (* (* im im) (* im im)))) * * * * [misc]progress: [ 11 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (172 enodes) * [exit]simplify: Simplified to (sqrt (* (+ (* re re) (* im im)) (- (* re re) (* im im)))) * [exit]simplify: Simplified to (sqrt (* (+ (* re re) (* im im)) (- (* re re) (* im im)))) * [enter]simplify: Simplifying (sqrt (- (* re re) (* im im))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (sqrt (* (- re im) (+ re im))) * [exit]simplify: Simplified to (sqrt (* (- re im) (+ re im))) * * * * [misc]progress: [ 12 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ (* re re) (* im im)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* im im) (* re re)))) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* im im) (* re re)))) * [enter]simplify: Simplifying (sqrt (sqrt (+ (* re re) (* im im)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* im im) (* re re)))) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* im im) (* re re)))) * * * * [misc]progress: [ 13 / 119 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 119 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 119 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (sqrt (+ (* re re) (* im im))) re)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (log (- (sqrt (+ (* im im) (* re re))) re)) * [exit]simplify: Simplified to (log (- (sqrt (+ (* im im) (* re re))) re)) * * * * [misc]progress: [ 17 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (- (sqrt (+ (* re re) (* im im))) re)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (exp (- (sqrt (+ (* im im) (* re re))) re)) * [exit]simplify: Simplified to (exp (- (sqrt (+ (* im im) (* re re))) re)) * * * * [misc]progress: [ 18 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (* (cbrt (- (sqrt (+ (* im im) (* re re))) re)) (cbrt (- (sqrt (+ (* im im) (* re re))) re))) * [exit]simplify: Simplified to (* (cbrt (- (sqrt (+ (* im im) (* re re))) re)) (cbrt (- (sqrt (+ (* im im) (* re re))) re))) * [enter]simplify: Simplifying (cbrt (- (sqrt (+ (* re re) (* im im))) re)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (cbrt (- (sqrt (+ (* im im) (* re re))) re)) * [exit]simplify: Simplified to (cbrt (- (sqrt (+ (* im im) (* re re))) re)) * * * * [misc]progress: [ 19 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (sqrt (+ (* re re) (* im im))) re) (- (sqrt (+ (* re re) (* im im))) re)) (- (sqrt (+ (* re re) (* im im))) re)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (274 enodes) * [exit]simplify: Simplified to (pow (- (sqrt (+ (* re re) (* im im))) re) 3) * [exit]simplify: Simplified to (pow (- (sqrt (+ (* re re) (* im im))) re) 3) * * * * [misc]progress: [ 20 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (sqrt (+ (* re re) (* im im))) re)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (sqrt (- (sqrt (+ (* im im) (* re re))) re)) * [exit]simplify: Simplified to (sqrt (- (sqrt (+ (* im im) (* re re))) re)) * [enter]simplify: Simplifying (sqrt (- (sqrt (+ (* re re) (* im im))) re)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (sqrt (- (sqrt (+ (* im im) (* re re))) re)) * [exit]simplify: Simplified to (sqrt (- (sqrt (+ (* im im) (* re re))) re)) * * * * [misc]progress: [ 21 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (100 enodes) * [exit]simplify: Simplified to (+ (* (* re re) (- re)) (* (sqrt (+ (* im im) (* re re))) (+ (* im im) (* re re)))) * [exit]simplify: Simplified to (+ (* (* re re) (- re)) (* (sqrt (+ (* im im) (* re re))) (+ (* im im) (* re re)))) * [enter]simplify: Simplifying (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (+ (* re re) (* (sqrt (+ (* re re) (* im im))) re))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * [exit]simplify: Simplified to (+ (+ (+ (* im im) (* re re)) (* re re)) (* (sqrt (+ (* im im) (* re re))) re)) * [exit]simplify: Simplified to (+ (+ (+ (* im im) (* re re)) (* re re)) (* (sqrt (+ (* im im) (* re re))) re)) * * * * [misc]progress: [ 22 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (- re) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (- re) * [exit]simplify: Simplified to (- re) * * * * [misc]progress: [ 23 / 119 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (294 enodes) * [exit]simplify: Simplified to (* im im) * [exit]simplify: Simplified to (* im im) * [enter]simplify: Simplifying (+ (sqrt (+ (* re re) (* im im))) re) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (+ re (sqrt (+ (* im im) (* re re)))) * [exit]simplify: Simplified to (+ re (sqrt (+ (* im im) (* re re)))) * * * * [misc]progress: [ 25 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (- re) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (- re) * [exit]simplify: Simplified to (- re) * * * * [misc]progress: [ 26 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt 2.0) (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (/ (* (fabs im) (sqrt 2.0)) (sqrt (- (sqrt (+ (* im im) (* re re))) re))) * [exit]simplify: Simplified to (/ (* (fabs im) (sqrt 2.0)) (sqrt (- (sqrt (+ (* im im) (* re re))) re))) * * * * [misc]progress: [ 27 / 119 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (sqrt 2.0)) (- (log (fabs im)) (log (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (32 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 (- (+ (log (sqrt 2.0)) (log (fabs im))) (log (sqrt (- (sqrt (+ (* im im) (* re re))) re)))) * [exit]simplify: Simplified to (- (+ (log (sqrt 2.0)) (log (fabs im))) (log (sqrt (- (sqrt (+ (* im im) (* re re))) re)))) * * * * [misc]progress: [ 29 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (sqrt 2.0)) (log (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (64 enodes) * [exit]simplify: Simplified to (- (+ (log (fabs im)) (log (sqrt 2.0))) (log (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) * [exit]simplify: Simplified to (- (+ (log (fabs im)) (log (sqrt 2.0))) (log (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) * * * * [misc]progress: [ 30 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (sqrt 2.0) (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (73 enodes) * [exit]simplify: Simplified to (log (/ (* (fabs im) (sqrt 2.0)) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))) * [exit]simplify: Simplified to (log (/ (* (fabs im) (sqrt 2.0)) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))) * * * * [misc]progress: [ 31 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (sqrt 2.0) (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (exp (/ (* (fabs im) (sqrt 2.0)) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))) * [exit]simplify: Simplified to (exp (/ (* (fabs im) (sqrt 2.0)) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))) * * * * [misc]progress: [ 32 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0)) (/ (* (* (fabs im) (fabs im)) (fabs im)) (* (* (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (118 enodes) * * [misc]simplify: iters left: 3 (453 enodes) * [exit]simplify: Simplified to (/ (/ (* (* 2.0 (sqrt 2.0)) (pow (fabs im) 3)) (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) * [exit]simplify: Simplified to (/ (/ (* (* 2.0 (sqrt 2.0)) (pow (fabs im) 3)) (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) * * * * [misc]progress: [ 33 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0)) (* (* (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (222 enodes) * [exit]simplify: Simplified to (/ (/ (* (* 2.0 (sqrt 2.0)) (fabs im)) (sqrt (- (sqrt (+ (* im im) (* re re))) re))) (/ (/ (- (sqrt (+ (* im im) (* re re))) re) (fabs im)) (fabs im))) * [exit]simplify: Simplified to (/ (/ (* (* 2.0 (sqrt 2.0)) (fabs im)) (sqrt (- (sqrt (+ (* im im) (* re re))) re))) (/ (/ (- (sqrt (+ (* im im) (* re re))) re) (fabs im)) (fabs im))) * * * * [misc]progress: [ 34 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt 2.0) (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) (cbrt (* (sqrt 2.0) (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (* (fabs im) (sqrt 2.0)) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))) (cbrt (/ (* (fabs im) (sqrt 2.0)) (sqrt (- (sqrt (+ (* im im) (* re re))) re))))) * [exit]simplify: Simplified to (* (cbrt (/ (* (fabs im) (sqrt 2.0)) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))) (cbrt (/ (* (fabs im) (sqrt 2.0)) (sqrt (- (sqrt (+ (* im im) (* re re))) re))))) * [enter]simplify: Simplifying (cbrt (* (sqrt 2.0) (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * [exit]simplify: Simplified to (cbrt (/ (* (fabs im) (sqrt 2.0)) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))) * [exit]simplify: Simplified to (cbrt (/ (* (fabs im) (sqrt 2.0)) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))) * * * * [misc]progress: [ 35 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (sqrt 2.0) (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (* (sqrt 2.0) (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) (* (sqrt 2.0) (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (183 enodes) * [exit]simplify: Simplified to (pow (/ (* (fabs im) (sqrt 2.0)) (sqrt (- (sqrt (+ (* im im) (* re re))) re))) 3) * [exit]simplify: Simplified to (pow (/ (* (fabs im) (sqrt 2.0)) (sqrt (- (sqrt (+ (* im im) (* re re))) re))) 3) * * * * [misc]progress: [ 36 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (sqrt 2.0) (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * [exit]simplify: Simplified to (sqrt (/ (* (fabs im) (sqrt 2.0)) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))) * [exit]simplify: Simplified to (sqrt (/ (* (fabs im) (sqrt 2.0)) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))) * [enter]simplify: Simplifying (sqrt (* (sqrt 2.0) (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * [exit]simplify: Simplified to (sqrt (/ (* (fabs im) (sqrt 2.0)) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))) * [exit]simplify: Simplified to (sqrt (/ (* (fabs im) (sqrt 2.0)) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))) * * * * [misc]progress: [ 37 / 119 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt 2.0) (* (cbrt (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (* (* (cbrt (/ (fabs im) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))) (sqrt 2.0)) (cbrt (/ (fabs im) (sqrt (- (sqrt (+ (* im im) (* re re))) re))))) * [exit]simplify: Simplified to (* (* (cbrt (/ (fabs im) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))) (sqrt 2.0)) (cbrt (/ (fabs im) (sqrt (- (sqrt (+ (* im im) (* re re))) re))))) * * * * [misc]progress: [ 39 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt 2.0) (sqrt (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (fabs im) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))) (sqrt 2.0)) * [exit]simplify: Simplified to (* (sqrt (/ (fabs im) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))) (sqrt 2.0)) * * * * [misc]progress: [ 40 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt 2.0) (/ (* (cbrt (fabs im)) (cbrt (fabs im))) (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (139 enodes) * * [misc]simplify: iters left: 1 (164 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (fabs im)) (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re)))) (/ (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))) (* (sqrt 2.0) (cbrt (fabs im))))) * [exit]simplify: Simplified to (/ (/ (cbrt (fabs im)) (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re)))) (/ (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))) (* (sqrt 2.0) (cbrt (fabs im))))) * * * * [misc]progress: [ 41 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt 2.0) (/ (* (cbrt (fabs im)) (cbrt (fabs im))) (sqrt (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (67 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (fabs im)) (* (sqrt 2.0) (cbrt (fabs im)))) (fabs (cbrt (- (sqrt (+ (* im im) (* re re))) re)))) * [exit]simplify: Simplified to (/ (* (cbrt (fabs im)) (* (sqrt 2.0) (cbrt (fabs im)))) (fabs (cbrt (- (sqrt (+ (* im im) (* re re))) re)))) * * * * [misc]progress: [ 42 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt 2.0) (/ (* (cbrt (fabs im)) (cbrt (fabs im))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (67 enodes) * [exit]simplify: Simplified to (/ (* (* (sqrt 2.0) (cbrt (fabs im))) (cbrt (fabs im))) (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re)))) * [exit]simplify: Simplified to (/ (* (* (sqrt 2.0) (cbrt (fabs im))) (cbrt (fabs im))) (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re)))) * * * * [misc]progress: [ 43 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt 2.0) (/ (* (cbrt (fabs im)) (cbrt (fabs im))) (sqrt 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (59 enodes) * [exit]simplify: Simplified to (* (* (sqrt 2.0) (cbrt (fabs im))) (/ (cbrt (fabs im)) (sqrt 1))) * [exit]simplify: Simplified to (* (* (sqrt 2.0) (cbrt (fabs im))) (/ (cbrt (fabs im)) (sqrt 1))) * * * * [misc]progress: [ 44 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt 2.0) (/ (* (cbrt (fabs im)) (cbrt (fabs im))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (67 enodes) * [exit]simplify: Simplified to (/ (* (* (sqrt 2.0) (cbrt (fabs im))) (cbrt (fabs im))) (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re)))) * [exit]simplify: Simplified to (/ (* (* (sqrt 2.0) (cbrt (fabs im))) (cbrt (fabs im))) (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re)))) * * * * [misc]progress: [ 45 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt 2.0) (/ (* (cbrt (fabs im)) (cbrt (fabs im))) 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (* (* (/ (sqrt 2.0) 1) (cbrt (fabs im))) (cbrt (fabs im))) * [exit]simplify: Simplified to (* (* (/ (sqrt 2.0) 1) (cbrt (fabs im))) (cbrt (fabs im))) * * * * [misc]progress: [ 46 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt 2.0) (/ (sqrt (fabs im)) (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (63 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt 2.0) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (fabs im)))) * [exit]simplify: Simplified to (/ (/ (sqrt 2.0) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (fabs im)))) * * * * [misc]progress: [ 47 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt 2.0) (/ (sqrt (fabs im)) (sqrt (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * [exit]simplify: Simplified to (/ (* (sqrt 2.0) (sqrt (fabs im))) (fabs (cbrt (- (sqrt (+ (* re re) (* im im))) re)))) * [exit]simplify: Simplified to (/ (* (sqrt 2.0) (sqrt (fabs im))) (fabs (cbrt (- (sqrt (+ (* re re) (* im im))) re)))) * * * * [misc]progress: [ 48 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt 2.0) (/ (sqrt (fabs im)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (/ (* (sqrt 2.0) (sqrt (fabs im))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) * [exit]simplify: Simplified to (/ (* (sqrt 2.0) (sqrt (fabs im))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) * * * * [misc]progress: [ 49 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt 2.0) (/ (sqrt (fabs im)) (sqrt 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * * [misc]simplify: iters left: 1 (23 enodes) * [exit]simplify: Simplified to (/ (sqrt (fabs im)) (/ (sqrt 1) (sqrt 2.0))) * [exit]simplify: Simplified to (/ (sqrt (fabs im)) (/ (sqrt 1) (sqrt 2.0))) * * * * [misc]progress: [ 50 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt 2.0) (/ (sqrt (fabs im)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (/ (* (sqrt 2.0) (sqrt (fabs im))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) * [exit]simplify: Simplified to (/ (* (sqrt 2.0) (sqrt (fabs im))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) * * * * [misc]progress: [ 51 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt 2.0) (/ (sqrt (fabs im)) 1)) * * [misc]simplify: iters left: 6 (8 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 (22 enodes) * [exit]simplify: Simplified to (* (sqrt (fabs im)) (/ (sqrt 2.0) 1)) * [exit]simplify: Simplified to (* (sqrt (fabs im)) (/ (sqrt 2.0) 1)) * * * * [misc]progress: [ 52 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt 2.0) (/ 1 (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (100 enodes) * * [misc]simplify: iters left: 1 (123 enodes) * [exit]simplify: Simplified to (/ (sqrt 2.0) (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) * [exit]simplify: Simplified to (/ (sqrt 2.0) (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) * * * * [misc]progress: [ 53 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt 2.0) (/ 1 (sqrt (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * [exit]simplify: Simplified to (/ (sqrt 2.0) (fabs (cbrt (- (sqrt (+ (* re re) (* im im))) re)))) * [exit]simplify: Simplified to (/ (sqrt 2.0) (fabs (cbrt (- (sqrt (+ (* re re) (* im im))) re)))) * * * * [misc]progress: [ 54 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt 2.0) (/ 1 (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (/ (sqrt 2.0) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) * [exit]simplify: Simplified to (/ (sqrt 2.0) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) * * * * [misc]progress: [ 55 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt 2.0) (/ 1 (sqrt 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * [exit]simplify: Simplified to (/ (sqrt 2.0) (sqrt 1)) * [exit]simplify: Simplified to (/ (sqrt 2.0) (sqrt 1)) * * * * [misc]progress: [ 56 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt 2.0) (/ 1 (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (/ (sqrt 2.0) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) * [exit]simplify: Simplified to (/ (sqrt 2.0) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) * * * * [misc]progress: [ 57 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt 2.0) (/ 1 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt 2.0) * [exit]simplify: Simplified to (sqrt 2.0) * * * * [misc]progress: [ 58 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt 2.0) 1) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: iters left: 1 (9 enodes) * [exit]simplify: Simplified to (sqrt 2.0) * [exit]simplify: Simplified to (sqrt 2.0) * * * * [misc]progress: [ 59 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt 2.0) (fabs im)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (* (fabs im) (sqrt 2.0)) * [exit]simplify: Simplified to (* (fabs im) (sqrt 2.0)) * * * * [misc]progress: [ 60 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt 2.0) (/ (fabs im) (sqrt (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (120 enodes) * [exit]simplify: Simplified to (/ (* (fabs im) (sqrt 2.0)) (sqrt (+ (* (* re re) (- re)) (* (sqrt (+ (* im im) (* re re))) (+ (* im im) (* re re)))))) * [exit]simplify: Simplified to (/ (* (fabs im) (sqrt 2.0)) (sqrt (+ (* (* re re) (- re)) (* (sqrt (+ (* im im) (* re re))) (+ (* im im) (* re re)))))) * * * * [misc]progress: [ 61 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt 2.0) (/ (fabs im) (sqrt (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (115 enodes) * * [misc]simplify: iters left: 1 (324 enodes) * [exit]simplify: Simplified to (/ (sqrt 2.0) 1) * [exit]simplify: Simplified to (/ (sqrt 2.0) 1) * * * * [misc]progress: [ 62 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt 2.0)) (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt 2.0)) (fabs im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt 2.0)) (fabs im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) * * * * [misc]progress: [ 63 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (sqrt 2.0)) (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (sqrt 2.0)) (fabs im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) * [exit]simplify: Simplified to (/ (* (sqrt (sqrt 2.0)) (fabs im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) * * * * [misc]progress: [ 64 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt 2.0) (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (/ (* (fabs im) (sqrt 2.0)) (sqrt (- (sqrt (+ (* im im) (* re re))) re))) * [exit]simplify: Simplified to (/ (* (fabs im) (sqrt 2.0)) (sqrt (- (sqrt (+ (* im im) (* re re))) re))) * * * * [misc]progress: [ 65 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt 2.0) (fabs im)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (* (fabs im) (sqrt 2.0)) * [exit]simplify: Simplified to (* (fabs im) (sqrt 2.0)) * * * * [misc]progress: [ 66 / 119 ] simplifiying candidate # * * * * [misc]progress: [ 67 / 119 ] simplifiying candidate # * * * * [misc]progress: [ 68 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (fabs im)) (log (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) * * [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 (- (log (fabs im)) (log (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) * [exit]simplify: Simplified to (- (log (fabs im)) (log (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) * * * * [misc]progress: [ 69 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (log (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) * [exit]simplify: Simplified to (log (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) * * * * [misc]progress: [ 70 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (exp (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) * [exit]simplify: Simplified to (exp (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) * * * * [misc]progress: [ 71 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (fabs im) (fabs im)) (fabs im)) (* (* (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (127 enodes) * * [misc]simplify: iters left: 2 (212 enodes) * * [misc]simplify: iters left: 1 (273 enodes) * [exit]simplify: Simplified to (/ (/ (pow (fabs im) 3) (- (sqrt (+ (* im im) (* re re))) re)) (sqrt (- (sqrt (+ (* im im) (* re re))) re))) * [exit]simplify: Simplified to (/ (/ (pow (fabs im) 3) (- (sqrt (+ (* im im) (* re re))) re)) (sqrt (- (sqrt (+ (* im im) (* re re))) re))) * * * * [misc]progress: [ 72 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) * [exit]simplify: Simplified to (* (cbrt (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) * [enter]simplify: Simplifying (cbrt (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (cbrt (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) * [exit]simplify: Simplified to (cbrt (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) * * * * [misc]progress: [ 73 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (103 enodes) * * [misc]simplify: iters left: 1 (147 enodes) * [exit]simplify: Simplified to (/ (/ (pow (fabs im) 3) (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) * [exit]simplify: Simplified to (/ (/ (pow (fabs im) 3) (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) * * * * [misc]progress: [ 74 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (sqrt (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) * [exit]simplify: Simplified to (sqrt (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) * [enter]simplify: Simplifying (sqrt (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (sqrt (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) * [exit]simplify: Simplified to (sqrt (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) * * * * [misc]progress: [ 75 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (- (fabs im)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (- (fabs im)) * [exit]simplify: Simplified to (- (fabs im)) * [enter]simplify: Simplifying (- (sqrt (- (sqrt (+ (* re re) (* im im))) re))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (- (sqrt (- (sqrt (+ (* im im) (* re re))) re))) * [exit]simplify: Simplified to (- (sqrt (- (sqrt (+ (* im im) (* re re))) re))) * * * * [misc]progress: [ 76 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (fabs im)) (cbrt (fabs im))) (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (fabs im)) (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re)))) (/ (cbrt (fabs im)) (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))))) * [exit]simplify: Simplified to (* (/ (cbrt (fabs im)) (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re)))) (/ (cbrt (fabs im)) (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))))) * [enter]simplify: Simplifying (/ (cbrt (fabs im)) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (cbrt (fabs im)) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) * [exit]simplify: Simplified to (/ (cbrt (fabs im)) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) * * * * [misc]progress: [ 77 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (fabs im)) (cbrt (fabs im))) (sqrt (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (fabs im)) (cbrt (fabs im))) (fabs (cbrt (- (sqrt (+ (* im im) (* re re))) re)))) * [exit]simplify: Simplified to (/ (* (cbrt (fabs im)) (cbrt (fabs im))) (fabs (cbrt (- (sqrt (+ (* im im) (* re re))) re)))) * [enter]simplify: Simplifying (/ (cbrt (fabs im)) (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (cbrt (fabs im)) (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re)))) * [exit]simplify: Simplified to (/ (cbrt (fabs im)) (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re)))) * * * * [misc]progress: [ 78 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (fabs im)) (cbrt (fabs im))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (fabs im)) (cbrt (fabs im))) (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re)))) * [exit]simplify: Simplified to (/ (* (cbrt (fabs im)) (cbrt (fabs im))) (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re)))) * [enter]simplify: Simplifying (/ (cbrt (fabs im)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (cbrt (fabs im)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) * [exit]simplify: Simplified to (/ (cbrt (fabs im)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) * * * * [misc]progress: [ 79 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (fabs im)) (cbrt (fabs im))) (sqrt 1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (fabs im)) (sqrt 1)) (cbrt (fabs im))) * [exit]simplify: Simplified to (* (/ (cbrt (fabs im)) (sqrt 1)) (cbrt (fabs im))) * [enter]simplify: Simplifying (/ (cbrt (fabs im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (cbrt (fabs im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) * [exit]simplify: Simplified to (/ (cbrt (fabs im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) * * * * [misc]progress: [ 80 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (fabs im)) (cbrt (fabs im))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (fabs im)) (cbrt (fabs im))) (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re)))) * [exit]simplify: Simplified to (/ (* (cbrt (fabs im)) (cbrt (fabs im))) (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re)))) * [enter]simplify: Simplifying (/ (cbrt (fabs im)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (cbrt (fabs im)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) * [exit]simplify: Simplified to (/ (cbrt (fabs im)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) * * * * [misc]progress: [ 81 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (fabs im)) (cbrt (fabs im))) 1) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (* (cbrt (fabs im)) (/ (cbrt (fabs im)) 1)) * [exit]simplify: Simplified to (* (cbrt (fabs im)) (/ (cbrt (fabs im)) 1)) * [enter]simplify: Simplifying (/ (cbrt (fabs im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (cbrt (fabs im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) * [exit]simplify: Simplified to (/ (cbrt (fabs im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) * * * * [misc]progress: [ 82 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (fabs im)) (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (fabs im)) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) * [exit]simplify: Simplified to (/ (/ (sqrt (fabs im)) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) * [enter]simplify: Simplifying (/ (sqrt (fabs im)) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (sqrt (fabs im)) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) * [exit]simplify: Simplified to (/ (sqrt (fabs im)) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) * * * * [misc]progress: [ 83 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (fabs im)) (sqrt (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (/ (sqrt (fabs im)) (fabs (cbrt (- (sqrt (+ (* re re) (* im im))) re)))) * [exit]simplify: Simplified to (/ (sqrt (fabs im)) (fabs (cbrt (- (sqrt (+ (* re re) (* im im))) re)))) * [enter]simplify: Simplifying (/ (sqrt (fabs im)) (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (sqrt (fabs im)) (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re)))) * [exit]simplify: Simplified to (/ (sqrt (fabs im)) (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re)))) * * * * [misc]progress: [ 84 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (fabs im)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (sqrt (fabs im)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) * [exit]simplify: Simplified to (/ (sqrt (fabs im)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) * [enter]simplify: Simplifying (/ (sqrt (fabs im)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (sqrt (fabs im)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) * [exit]simplify: Simplified to (/ (sqrt (fabs im)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) * * * * [misc]progress: [ 85 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (fabs im)) (sqrt 1)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ (sqrt (fabs im)) (sqrt 1)) * [exit]simplify: Simplified to (/ (sqrt (fabs im)) (sqrt 1)) * [enter]simplify: Simplifying (/ (sqrt (fabs im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (sqrt (fabs im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) * [exit]simplify: Simplified to (/ (sqrt (fabs im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) * * * * [misc]progress: [ 86 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (fabs im)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (sqrt (fabs im)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) * [exit]simplify: Simplified to (/ (sqrt (fabs im)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) * [enter]simplify: Simplifying (/ (sqrt (fabs im)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (sqrt (fabs im)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) * [exit]simplify: Simplified to (/ (sqrt (fabs im)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) * * * * [misc]progress: [ 87 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (fabs im)) 1) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (/ (sqrt (fabs im)) 1) * [exit]simplify: Simplified to (/ (sqrt (fabs im)) 1) * [enter]simplify: Simplifying (/ (sqrt (fabs im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (sqrt (fabs im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) * [exit]simplify: Simplified to (/ (sqrt (fabs im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) * * * * [misc]progress: [ 88 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))) (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))))) * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))) (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))))) * [enter]simplify: Simplifying (/ (fabs im) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (fabs im) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) * [exit]simplify: Simplified to (/ (fabs im) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) * * * * [misc]progress: [ 89 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (/ 1 (fabs (cbrt (- (sqrt (+ (* im im) (* re re))) re)))) * [exit]simplify: Simplified to (/ 1 (fabs (cbrt (- (sqrt (+ (* im im) (* re re))) re)))) * [enter]simplify: Simplifying (/ (fabs im) (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (fabs im) (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re)))) * [exit]simplify: Simplified to (/ (fabs im) (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re)))) * * * * [misc]progress: [ 90 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re)))) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re)))) * [enter]simplify: Simplifying (/ (fabs im) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (fabs im) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) * [exit]simplify: Simplified to (/ (fabs im) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) * * * * [misc]progress: [ 91 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt 1)) * [exit]simplify: Simplified to (/ 1 (sqrt 1)) * [enter]simplify: Simplifying (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) * [exit]simplify: Simplified to (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) * * * * [misc]progress: [ 92 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re)))) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re)))) * [enter]simplify: Simplifying (/ (fabs im) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (fabs im) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) * [exit]simplify: Simplified to (/ (fabs im) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) * * * * [misc]progress: [ 93 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) * [exit]simplify: Simplified to (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) * * * * [misc]progress: [ 94 / 119 ] simplifiying candidate # * * * * [misc]progress: [ 95 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (- (sqrt (+ (* re re) (* im im))) re))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (- (sqrt (+ (* im im) (* re re))) re))) * [exit]simplify: Simplified to (/ 1 (sqrt (- (sqrt (+ (* im im) (* re re))) re))) * * * * [misc]progress: [ 96 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (fabs im)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (fabs im)) * [exit]simplify: Simplified to (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (fabs im)) * * * * [misc]progress: [ 97 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (fabs im) (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (/ (fabs im) (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) * [exit]simplify: Simplified to (/ (fabs im) (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) * * * * [misc]progress: [ 98 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (fabs im) (sqrt (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (fabs im) (fabs (cbrt (- (sqrt (+ (* re re) (* im im))) re)))) * [exit]simplify: Simplified to (/ (fabs im) (fabs (cbrt (- (sqrt (+ (* re re) (* im im))) re)))) * * * * [misc]progress: [ 99 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (fabs im) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (fabs im) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) * [exit]simplify: Simplified to (/ (fabs im) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) * * * * [misc]progress: [ 100 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (fabs im) (sqrt 1)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (/ (fabs im) (sqrt 1)) * [exit]simplify: Simplified to (/ (fabs im) (sqrt 1)) * * * * [misc]progress: [ 101 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (fabs im) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (fabs im) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) * [exit]simplify: Simplified to (/ (fabs im) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) * * * * [misc]progress: [ 102 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (fabs im) 1) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (/ (fabs im) 1) * [exit]simplify: Simplified to (/ (fabs im) 1) * * * * [misc]progress: [ 103 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (fabs im))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (cbrt (fabs im))) * [exit]simplify: Simplified to (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (cbrt (fabs im))) * * * * [misc]progress: [ 104 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (fabs im))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (sqrt (fabs im))) * [exit]simplify: Simplified to (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (sqrt (fabs im))) * * * * [misc]progress: [ 105 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (fabs im)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (fabs im)) * [exit]simplify: Simplified to (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (fabs im)) * * * * [misc]progress: [ 106 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (fabs im) (sqrt (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (104 enodes) * [exit]simplify: Simplified to (/ (fabs im) (sqrt (+ (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im))) (* (* re re) (- re))))) * [exit]simplify: Simplified to (/ (fabs im) (sqrt (+ (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im))) (* (* re re) (- re))))) * * * * [misc]progress: [ 107 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (fabs im) (sqrt (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (290 enodes) * [exit]simplify: Simplified to (/ (fabs im) (fabs im)) * [exit]simplify: Simplified to (/ (fabs im) (fabs im)) * * * * [misc]progress: [ 108 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (* 0.5 (* (sqrt 2.0) (/ (fabs im) (sqrt (- im re))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (89 enodes) * [exit]simplify: Simplified to (/ (* 0.5 (fabs im)) (/ (sqrt (- im re)) (sqrt 2.0))) * * * * [misc]progress: [ 109 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (* 0.5 (* (sqrt 2.0) (/ (fabs im) (sqrt (- re re))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (88 enodes) * [exit]simplify: Simplified to (/ (* (sqrt 2.0) (fabs im)) (/ (sqrt 0) 0.5)) * * * * [misc]progress: [ 110 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (* 0.5 (* (sqrt 2.0) (/ (fabs im) (sqrt (- (* -1 re) re))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (98 enodes) * [exit]simplify: Simplified to (/ (* (* 0.5 (sqrt 2.0)) (fabs im)) (sqrt (- (+ re re)))) * * * * [misc]progress: [ 111 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (* 0.5 (* (sqrt 2.0) (/ (fabs im) (sqrt (- im re))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (89 enodes) * [exit]simplify: Simplified to (/ (* 0.5 (fabs im)) (/ (sqrt (- im re)) (sqrt 2.0))) * * * * [misc]progress: [ 112 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (* 0.5 (* (sqrt 2.0) (/ (fabs im) (sqrt 0)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (85 enodes) * [exit]simplify: Simplified to (* (/ (sqrt 2.0) (sqrt 0)) (* 0.5 (fabs im))) * * * * [misc]progress: [ 113 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (* 0.5 (* (sqrt 2.0) (/ (fabs im) (sqrt (* -2 re))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (89 enodes) * [exit]simplify: Simplified to (* (* (sqrt 2.0) (fabs im)) (/ 0.5 (sqrt (* re -2)))) * * * * [misc]progress: [ 114 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (* 0.5 (- (+ (* +nan.0 (/ (* (fabs im) (* im (sqrt 2.0))) (pow (sqrt 1/2) 3))) (- (+ (* +nan.0 (/ (* (fabs im) (* (sqrt 2.0) re)) (* (sqrt 1/2) im))) (- (* +nan.0 (/ (* (fabs im) (* (sqrt 2.0) (pow re 2))) (* (sqrt 1/2) im))))))))) * * * * [misc]progress: [ 115 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (* 0.5 (- (+ (* +nan.0 (* (fabs im) (sqrt 2.0))) (- (+ (* +nan.0 (/ (* (fabs im) (* (sqrt 2.0) re)) im)) (- (* +nan.0 (/ (* (fabs im) (* (sqrt 2.0) re)) (pow im 2))))))))) * * * * [misc]progress: [ 116 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (* 0.5 (- (+ (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (pow im 2))) (- (+ (* +nan.0 (* (fabs im) (sqrt 2.0))) (- (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) im)))))))) * * * * [misc]progress: [ 117 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (* 0.5 (* (sqrt 2.0) (- (+ (* +nan.0 (/ (* (fabs im) im) (pow (sqrt 1/2) 3))) (- (+ (* +nan.0 (/ (* (fabs im) re) (* (sqrt 1/2) im))) (- (* +nan.0 (/ (* (fabs im) (pow re 2)) (* (sqrt 1/2) im)))))))))) * * * * [misc]progress: [ 118 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (* 0.5 (* (sqrt 2.0) (- (+ (* +nan.0 (fabs im)) (- (+ (* +nan.0 (/ (* (fabs im) re) (pow im 2))) (- (* +nan.0 (/ (* (fabs im) re) im))))))))) * * * * [misc]progress: [ 119 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (* 0.5 (* (sqrt 2.0) (- (+ (* +nan.0 (fabs im)) (- (+ (* +nan.0 (/ (fabs im) im)) (- (* +nan.0 (/ (fabs im) (pow im 2)))))))))) * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime-changes: Finding splitpoints for: (# # # # # # # # # # # # #) * [misc]regimes: searching between 6.849801323783962e-148 and 0.0 on (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) * [misc]regimes: searching between +inf.0 and +inf.0 on (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) * [misc]regimes: searching between +inf.0 and +inf.0 on (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) * [misc]regimes: searching between +inf.0 and +inf.0 on (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) * [misc]regimes: searching between +nan.0 and +nan.0 on (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) * [misc]regimes: searching between 1.3699602647567923e-147 and 0.0 on (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) * [misc]regimes: searching between +inf.0 and +inf.0 on (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) * [misc]regimes: searching between +inf.0 and +inf.0 on (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) * [misc]regimes: searching between +inf.0 and +inf.0 on (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) * [misc]regimes: searching between +nan.0 and +nan.0 on (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) * [misc]regimes: searching between 1.8767911270125003e-294 and 0.0 on (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) * [misc]regimes: searching between +inf.0 and +inf.0 on (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) * [misc]regimes: searching between +inf.0 and +inf.0 on (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) * [misc]regimes: searching between 9.383955635062502e-295 and 0.0 on (+ (sqrt (+ (* re re) (* im im))) re) * [misc]regimes: searching between +inf.0 and +inf.0 on (+ (sqrt (+ (* re re) (* im im))) re) * [misc]regimes: searching between +inf.0 and +inf.0 on (+ (sqrt (+ (* re re) (* im im))) re) * [misc]regimes: searching between -1.06496563913298e+80 and -2.1823101031022743e+85 on re * [misc]regimes: searching between -9.744109836795258e-288 and -1.87865589423831e-287 on re * [misc]regimes: searching between 2.20793425773673e+133 and 3.5086434817129883e+131 on re * [misc]regimes: searching between 0.0 and 0.0 on (* im im) * [misc]regimes: searching between 2.7701049094760183e-308 and 5.146843473896866e-309 on (* im im) * [misc]regimes: searching between +inf.0 and 1.7598670138247227e+305 on (* im im) * [misc]regimes: searching between -4.195076893007711e+152 and -4.682345401849344e+154 on im * [misc]regimes: searching between -2.885599757313833e-177 and -1.88029776426171e-174 on im * [misc]regimes: searching between 5.1112712709606916e-278 and 2.3617378092407443e-281 on im * [misc]regimes: searching between 5.060699912160874e-216 and 3.5635735933290417e-224 on im * [misc]regimes: searching between 5.616937842829848e+59 and 7.77415256019708e+54 on im * [misc]regimes: searching between 0.0 and 0.0 on (* 0.5 (exp (- (log (* (fabs im) (sqrt 2.0))) (log (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))) * [misc]regimes: searching between 0.0 and 0.0 on (* 0.5 (exp (- (log (* (fabs im) (sqrt 2.0))) (log (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))) * [misc]regimes: searching between 9.122398846817556e-78 and 1.031731656158334e-82 on (* 0.5 (exp (- (log (* (fabs im) (sqrt 2.0))) (log (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))) * [misc]regimes: searching between +inf.0 and 1.4482881089423465e+76 on (* 0.5 (exp (- (log (* (fabs im) (sqrt 2.0))) (log (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))) * [misc]regimes: searching between 0.0 and 0.0 on (exp (- (log (* (fabs im) (sqrt 2.0))) (log (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) * [misc]regimes: searching between 0.0 and 0.0 on (exp (- (log (* (fabs im) (sqrt 2.0))) (log (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) * [misc]regimes: searching between 1.824479769363511e-77 and 2.063463312316668e-82 on (exp (- (log (* (fabs im) (sqrt 2.0))) (log (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) * [misc]regimes: searching between +inf.0 and 2.896576217884693e+76 on (exp (- (log (* (fabs im) (sqrt 2.0))) (log (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) * [misc]regimes: searching between -inf.0 and -inf.0 on (- (log (* (fabs im) (sqrt 2.0))) (log (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) * [misc]regimes: searching between -inf.0 and -inf.0 on (- (log (* (fabs im) (sqrt 2.0))) (log (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) * [misc]regimes: searching between -176.6977572720268 and -188.0875918348067 on (- (log (* (fabs im) (sqrt 2.0))) (log (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) * [misc]regimes: searching between +inf.0 and 176.05999649254304 on (- (log (* (fabs im) (sqrt 2.0))) (log (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) * [misc]regimes: searching between 1.7307370965252695e-70 and 8.980455883070128e-73 on (* 0.5 (sqrt (* 2.0 (+ im re)))) * [misc]regimes: searching between 1.8109394571496784e+77 and 3.336399765168192e+76 on (* 0.5 (sqrt (* 2.0 (+ im re)))) * [misc]regimes: searching between +nan.0 and +nan.0 on (* 0.5 (sqrt (* 2.0 (+ im re)))) * [misc]regimes: searching between +nan.0 and +nan.0 on (* 0.5 (sqrt (* 2.0 (+ im re)))) * [misc]regimes: searching between +nan.0 and +nan.0 on (* 0.5 (sqrt (* 2.0 (+ im re)))) * [misc]regimes: searching between +nan.0 and +nan.0 on (* 0.5 (sqrt (* 2.0 (+ im re)))) * [misc]regimes: searching between +nan.0 and +nan.0 on (* 0.5 (sqrt (* 2.0 (+ im re)))) * [misc]regimes: searching between 3.461474193050539e-70 and 1.7960911766140255e-72 on (sqrt (* 2.0 (+ im re))) * [misc]regimes: searching between 3.621878914299357e+77 and 6.672799530336384e+76 on (sqrt (* 2.0 (+ im re))) * [misc]regimes: searching between +nan.0 and +nan.0 on (sqrt (* 2.0 (+ im re))) * [misc]regimes: searching between +nan.0 and +nan.0 on (sqrt (* 2.0 (+ im re))) * [misc]regimes: searching between +nan.0 and +nan.0 on (sqrt (* 2.0 (+ im re))) * [misc]regimes: searching between +nan.0 and +nan.0 on (sqrt (* 2.0 (+ im re))) * [misc]regimes: searching between +nan.0 and +nan.0 on (sqrt (* 2.0 (+ im re))) * [misc]regimes: searching between -8.390153786015421e+152 and -1.81401183865351e+159 on (* 2.0 (+ im re)) * [misc]regimes: searching between 2.988151870100156e-273 and -2.2468869294454388e-253 on (* 2.0 (+ im re)) * [misc]regimes: searching between 1.1981803589154878e-139 and 3.225943514710755e-144 on (* 2.0 (+ im re)) * [misc]regimes: searching between 1.3118006869846288e+155 and 4.452625357205746e+153 on (* 2.0 (+ im re)) * [misc]regimes: searching between -4.195076893007711e+152 and -9.07005919326755e+158 on (+ im re) * [misc]regimes: searching between 1.494075935050078e-273 and -1.1234434647227194e-253 on (+ im re) * [misc]regimes: searching between 5.990901794577439e-140 and 1.6129717573553775e-144 on (+ im re) * [misc]regimes: searching between 6.559003434923144e+154 and 2.226312678602873e+153 on (+ im re) * [misc]regimes: searching between 4.698866094853875e+66 and 5.923380353913623e+65 on (* 0.5 (sqrt (* 2.0 (+ re re)))) * [misc]regimes: searching between +nan.0 and +nan.0 on (* 0.5 (sqrt (* 2.0 (+ re re)))) * [misc]regimes: searching between +nan.0 and +nan.0 on (* 0.5 (sqrt (* 2.0 (+ re re)))) * [misc]regimes: searching between +nan.0 and +nan.0 on (* 0.5 (sqrt (* 2.0 (+ re re)))) * [misc]regimes: searching between 9.39773218970775e+66 and 1.1846760707827247e+66 on (sqrt (* 2.0 (+ re re))) * [misc]regimes: searching between +nan.0 and +nan.0 on (sqrt (* 2.0 (+ re re))) * [misc]regimes: searching between +nan.0 and +nan.0 on (sqrt (* 2.0 (+ re re))) * [misc]regimes: searching between +nan.0 and +nan.0 on (sqrt (* 2.0 (+ re re))) * [misc]regimes: searching between -4.25986255653192e+80 and -8.729240412409097e+85 on (* 2.0 (+ re re)) * [misc]regimes: searching between -3.8976439347181033e-287 and -7.51462357695324e-287 on (* 2.0 (+ re re)) * [misc]regimes: searching between 8.83173703094692e+133 and 1.4034573926851953e+132 on (* 2.0 (+ re re)) * [misc]regimes: searching between -2.12993127826596e+80 and -4.3646202062045486e+85 on (+ re re) * [misc]regimes: searching between -1.9488219673590517e-287 and -3.75731178847662e-287 on (+ re re) * [misc]regimes: searching between 4.41586851547346e+133 and 7.0172869634259766e+131 on (+ re re) * [misc]regimes: searching between 9.122398846817778e-78 and 1.0317388021991021e-82 on (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) * [misc]regimes: searching between +inf.0 and 1.448288108942366e+76 on (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) * [misc]regimes: searching between +nan.0 and +nan.0 on (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) * [misc]regimes: searching between 1.8244797693635557e-77 and 2.0634776043982043e-82 on (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) * [misc]regimes: searching between +inf.0 and 2.896576217884732e+76 on (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) * [misc]regimes: searching between +nan.0 and +nan.0 on (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) * [misc]regimes: searching between 1.830182813519202e-48 and 2.189689333969447e-53 on (* 0.5 (/ (cbrt (* (pow (fabs im) 3) (* 2.0 (sqrt 2.0)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) * [misc]regimes: searching between +nan.0 and +nan.0 on (* 0.5 (/ (cbrt (* (pow (fabs im) 3) (* 2.0 (sqrt 2.0)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) * [misc]regimes: searching between 3.660365627038404e-48 and 4.379378667938894e-53 on (/ (cbrt (* (pow (fabs im) 3) (* 2.0 (sqrt 2.0)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) * [misc]regimes: searching between +nan.0 and +nan.0 on (/ (cbrt (* (pow (fabs im) 3) (* 2.0 (sqrt 2.0)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) * [misc]regimes: searching between 8.435652902928119e-13 and 3.2749095020681674e-21 on (* 0.5 (* (sqrt 2.0) (/ (fabs im) (sqrt (* -2 re))))) * [misc]regimes: searching between 8.798255286380203e+226 and 3.748314624666659e+212 on (* 0.5 (* (sqrt 2.0) (/ (fabs im) (sqrt (* -2 re))))) * [misc]regimes: searching between +nan.0 and +nan.0 on (* 0.5 (* (sqrt 2.0) (/ (fabs im) (sqrt (* -2 re))))) * [misc]regimes: searching between +nan.0 and +nan.0 on (* 0.5 (* (sqrt 2.0) (/ (fabs im) (sqrt (* -2 re))))) * [misc]regimes: searching between +nan.0 and +nan.0 on (* 0.5 (* (sqrt 2.0) (/ (fabs im) (sqrt (* -2 re))))) * [misc]regimes: searching between +nan.0 and +nan.0 on (* 0.5 (* (sqrt 2.0) (/ (fabs im) (sqrt (* -2 re))))) * [misc]regimes: searching between 1.6871305805856238e-12 and 6.549819004136335e-21 on (* (sqrt 2.0) (/ (fabs im) (sqrt (* -2 re)))) * [misc]regimes: searching between 1.7596510572760406e+227 and 7.496629249333318e+212 on (* (sqrt 2.0) (/ (fabs im) (sqrt (* -2 re)))) * [misc]regimes: searching between +nan.0 and +nan.0 on (* (sqrt 2.0) (/ (fabs im) (sqrt (* -2 re)))) * [misc]regimes: searching between +nan.0 and +nan.0 on (* (sqrt 2.0) (/ (fabs im) (sqrt (* -2 re)))) * [misc]regimes: searching between +nan.0 and +nan.0 on (* (sqrt 2.0) (/ (fabs im) (sqrt (* -2 re)))) * [misc]regimes: searching between +nan.0 and +nan.0 on (* (sqrt 2.0) (/ (fabs im) (sqrt (* -2 re)))) * [misc]regimes: searching between 1.1929814742792915e-12 and 4.631421433369322e-21 on (/ (fabs im) (sqrt (* -2 re))) * [misc]regimes: searching between 1.244261195121966e+227 and 5.300917378245006e+212 on (/ (fabs im) (sqrt (* -2 re))) * [misc]regimes: searching between +nan.0 and +nan.0 on (/ (fabs im) (sqrt (* -2 re))) * [misc]regimes: searching between +nan.0 and +nan.0 on (/ (fabs im) (sqrt (* -2 re))) * [misc]regimes: searching between +nan.0 and +nan.0 on (/ (fabs im) (sqrt (* -2 re))) * [misc]regimes: searching between +nan.0 and +nan.0 on (/ (fabs im) (sqrt (* -2 re))) * [misc]regimes: searching between 1.3641427295349479e-232 and 2.856007327942539e-238 on (fabs im) * [misc]regimes: searching between 6.137111827632012e-218 and 1.3461818828457452e-223 on (fabs im) * [misc]regimes: searching between 1.664363214408447e-154 and 7.174150454163102e-155 on (fabs im) * [misc]regimes: searching between 1.2128776725677967e-137 and 1.2969890160277606e-139 on (fabs im) * [misc]regimes: searching between 2.286655632145032e-122 and 3.6720885252435958e-124 on (fabs im) * [misc]regimes: searching between 6.699138261802125e-96 and 1.4663780724808784e-101 on (fabs im) * [misc]regimes: searching between 4.682345401849344e+154 and 4.195076893007711e+152 on (fabs im) * [misc]regimes: searching between 6.606527231613102e+42 and 1.4594284080645956e+40 on (sqrt (* -2 re)) * [misc]regimes: searching between +nan.0 and 1.8923518488316304e+148 on (sqrt (* -2 re)) * [misc]regimes: searching between +nan.0 and +nan.0 on (sqrt (* -2 re)) * [misc]regimes: searching between +nan.0 and +nan.0 on (sqrt (* -2 re)) * [misc]regimes: searching between -7.0172869634259766e+131 and -4.41586851547346e+133 on (* -2 re) * [misc]regimes: searching between 1.4907853375110065e-299 and -2.8410233961283245e-301 on (* -2 re) * [misc]regimes: searching between 4.3646202062045486e+85 and 2.12993127826596e+80 on (* -2 re) * [misc]regimes: searching between 6.849801323783962e-148 and 0.0 on (* 0.5 (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) * [misc]regimes: searching between +inf.0 and +inf.0 on (* 0.5 (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) * [misc]regimes: searching between +inf.0 and +inf.0 on (* 0.5 (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) * [misc]regimes: searching between +inf.0 and +inf.0 on (* 0.5 (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) * [misc]regimes: searching between +nan.0 and +nan.0 on (* 0.5 (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) * [misc]regimes: searching between 1.3699602647567923e-147 and 0.0 on (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) * [misc]regimes: searching between +inf.0 and +inf.0 on (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) * [misc]regimes: searching between +inf.0 and +inf.0 on (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) * [misc]regimes: searching between +inf.0 and +inf.0 on (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) * [misc]regimes: searching between +nan.0 and +nan.0 on (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) * [misc]regimes: searching between 9.687081931656458e-148 and 0.0 on (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) * [misc]regimes: searching between +inf.0 and +inf.0 on (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) * [misc]regimes: searching between +inf.0 and +inf.0 on (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) * [misc]regimes: searching between +inf.0 and +inf.0 on (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) * [misc]regimes: searching between +nan.0 and +nan.0 on (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) * [misc]regimes: searching between 4.698866094853875e+66 and 5.923380353913624e+65 on (* 0.5 (* (sqrt 2.0) (sqrt (+ re re)))) * [misc]regimes: searching between +nan.0 and +nan.0 on (* 0.5 (* (sqrt 2.0) (sqrt (+ re re)))) * [misc]regimes: searching between +nan.0 and +nan.0 on (* 0.5 (* (sqrt 2.0) (sqrt (+ re re)))) * [misc]regimes: searching between +nan.0 and +nan.0 on (* 0.5 (* (sqrt 2.0) (sqrt (+ re re)))) * [misc]regimes: searching between 9.39773218970775e+66 and 1.1846760707827248e+66 on (* (sqrt 2.0) (sqrt (+ re re))) * [misc]regimes: searching between +nan.0 and +nan.0 on (* (sqrt 2.0) (sqrt (+ re re))) * [misc]regimes: searching between +nan.0 and +nan.0 on (* (sqrt 2.0) (sqrt (+ re re))) * [misc]regimes: searching between +nan.0 and +nan.0 on (* (sqrt 2.0) (sqrt (+ re re))) * [misc]regimes: searching between 6.645200159117452e+66 and 8.37692483159899e+65 on (sqrt (+ re re)) * [misc]regimes: searching between +nan.0 and +nan.0 on (sqrt (+ re re)) * [misc]regimes: searching between +nan.0 and +nan.0 on (sqrt (+ re re)) * [misc]regimes: searching between +nan.0 and +nan.0 on (sqrt (+ re re)) * [misc]regimes: searching between 0.0 and 0.0 on (* 0.5 (/ (* (* (fabs im) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) * [misc]regimes: searching between 0.0 and 0.0 on (* 0.5 (/ (* (* (fabs im) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) * [misc]regimes: searching between 9.122398846817778e-78 and 1.0317316561582997e-82 on (* 0.5 (/ (* (* (fabs im) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) * [misc]regimes: searching between +inf.0 and 1.448288108942366e+76 on (* 0.5 (/ (* (* (fabs im) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) * [misc]regimes: searching between 0.0 and 0.0 on (/ (* (* (fabs im) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) * [misc]regimes: searching between 0.0 and 0.0 on (/ (* (* (fabs im) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) * [misc]regimes: searching between 1.8244797693635557e-77 and 2.0634633123165994e-82 on (/ (* (* (fabs im) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) * [misc]regimes: searching between +inf.0 and 2.896576217884732e+76 on (/ (* (* (fabs im) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) * [misc]regimes: searching between 0.0 and 0.0 on (* 0.5 (/ (* (fabs im) (sqrt 2.0)) (sqrt (- (cbrt (* (+ (* im im) (* re re)) (sqrt (+ (* im im) (* re re))))) re)))) * [misc]regimes: searching between 0.0 and 0.0 on (* 0.5 (/ (* (fabs im) (sqrt 2.0)) (sqrt (- (cbrt (* (+ (* im im) (* re re)) (sqrt (+ (* im im) (* re re))))) re)))) * [misc]regimes: searching between 0.0004645788875344458 and 8.43565290292812e-13 on (* 0.5 (/ (* (fabs im) (sqrt 2.0)) (sqrt (- (cbrt (* (+ (* im im) (* re re)) (sqrt (+ (* im im) (* re re))))) re)))) * [misc]regimes: searching between 0.0 and 0.0 on (/ (* (fabs im) (sqrt 2.0)) (sqrt (- (cbrt (* (+ (* im im) (* re re)) (sqrt (+ (* im im) (* re re))))) re))) * [misc]regimes: searching between 0.0 and 0.0 on (/ (* (fabs im) (sqrt 2.0)) (sqrt (- (cbrt (* (+ (* im im) (* re re)) (sqrt (+ (* im im) (* re re))))) re))) * [misc]regimes: searching between 0.0009291577750688916 and 1.687130580585624e-12 on (/ (* (fabs im) (sqrt 2.0)) (sqrt (- (cbrt (* (+ (* im im) (* re re)) (sqrt (+ (* im im) (* re re))))) re))) * [misc]regimes: searching between 9.12239884681778e-78 and 1.0317388021991021e-82 on (* 0.5 (sqrt (* 2.0 (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re))))) * [misc]regimes: searching between +inf.0 and 1.448288108942366e+76 on (* 0.5 (sqrt (* 2.0 (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re))))) * [misc]regimes: searching between +nan.0 and +nan.0 on (* 0.5 (sqrt (* 2.0 (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re))))) * [misc]regimes: searching between 1.824479769363556e-77 and 2.0634776043982043e-82 on (sqrt (* 2.0 (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re)))) * [misc]regimes: searching between +inf.0 and 2.896576217884732e+76 on (sqrt (* 2.0 (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re)))) * [misc]regimes: searching between +nan.0 and +nan.0 on (sqrt (* 2.0 (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re)))) * [misc]regimes: searching between 3.328726428816894e-154 and 4.257939823852952e-164 on (* 2.0 (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re))) * [misc]regimes: searching between +inf.0 and 8.390153786015421e+152 on (* 2.0 (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re))) * [misc]regimes: searching between +nan.0 and +nan.0 on (* 2.0 (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re))) * [misc]regimes: searching between 1.664363214408447e-154 and 2.128969911926476e-164 on (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re)) * [misc]regimes: searching between +inf.0 and 4.195076893007711e+152 on (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re)) * [misc]regimes: searching between +nan.0 and +nan.0 on (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re)) * [misc]regimes: searching between 0.0 and 0.0 on (* 0.5 (/ (* (fabs im) (sqrt 2.0)) (sqrt (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))) * [misc]regimes: searching between 0.0 and 0.0 on (* 0.5 (/ (* (fabs im) (sqrt 2.0)) (sqrt (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))) * [misc]regimes: searching between 9.122398846817778e-78 and 1.0317316561583001e-82 on (* 0.5 (/ (* (fabs im) (sqrt 2.0)) (sqrt (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))) * [misc]regimes: searching between 0.0 and 0.0 on (/ (* (fabs im) (sqrt 2.0)) (sqrt (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re))) * [misc]regimes: searching between 0.0 and 0.0 on (/ (* (fabs im) (sqrt 2.0)) (sqrt (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re))) * [misc]regimes: searching between 1.8244797693635557e-77 and 2.0634633123166003e-82 on (/ (* (fabs im) (sqrt 2.0)) (sqrt (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re))) * [misc]regimes: searching between 8.43565290292812e-13 and 3.2749095020681674e-21 on (/ (* (* (fabs im) (sqrt 2.0)) 0.5) (sqrt (- (- re) re))) * [misc]regimes: searching between 8.798255286380203e+226 and 3.748314624666659e+212 on (/ (* (* (fabs im) (sqrt 2.0)) 0.5) (sqrt (- (- re) re))) * [misc]regimes: searching between +nan.0 and +nan.0 on (/ (* (* (fabs im) (sqrt 2.0)) 0.5) (sqrt (- (- re) re))) * [misc]regimes: searching between +nan.0 and +nan.0 on (/ (* (* (fabs im) (sqrt 2.0)) 0.5) (sqrt (- (- re) re))) * [misc]regimes: searching between +nan.0 and +nan.0 on (/ (* (* (fabs im) (sqrt 2.0)) 0.5) (sqrt (- (- re) re))) * [misc]regimes: searching between +nan.0 and +nan.0 on (/ (* (* (fabs im) (sqrt 2.0)) 0.5) (sqrt (- (- re) re))) * [misc]regimes: searching between 9.645945745604881e-233 and 2.0195021487066413e-238 on (* (* (fabs im) (sqrt 2.0)) 0.5) * [misc]regimes: searching between 4.339593390218762e-218 and 9.51894338070701e-224 on (* (* (fabs im) (sqrt 2.0)) 0.5) * [misc]regimes: searching between 1.1768825152656527e-154 and 5.0728904353912796e-155 on (* (* (fabs im) (sqrt 2.0)) 0.5) * [misc]regimes: searching between 8.576340270224461e-138 and 9.171097283576973e-140 on (* (* (fabs im) (sqrt 2.0)) 0.5) * [misc]regimes: searching between 1.6169097037281637e-122 and 2.5965586973170555e-124 on (* (* (fabs im) (sqrt 2.0)) 0.5) * [misc]regimes: searching between 4.7370060930265435e-96 and 1.0368858788344878e-101 on (* (* (fabs im) (sqrt 2.0)) 0.5) * [misc]regimes: searching between 3.310918185505321e+154 and 2.966367318644745e+152 on (* (* (fabs im) (sqrt 2.0)) 0.5) * [misc]regimes: searching between 1.9291891491209762e-232 and 4.0390042974132825e-238 on (* (fabs im) (sqrt 2.0)) * [misc]regimes: searching between 8.679186780437524e-218 and 1.903788676141402e-223 on (* (fabs im) (sqrt 2.0)) * [misc]regimes: searching between 2.3537650305313055e-154 and 1.0145780870782559e-154 on (* (fabs im) (sqrt 2.0)) * [misc]regimes: searching between 1.7152680540448923e-137 and 1.8342194567153946e-139 on (* (fabs im) (sqrt 2.0)) * [misc]regimes: searching between 3.2338194074563274e-122 and 5.193117394634111e-124 on (* (fabs im) (sqrt 2.0)) * [misc]regimes: searching between 9.474012186053087e-96 and 2.0737717576689757e-101 on (* (fabs im) (sqrt 2.0)) * [misc]regimes: searching between 6.621836371010643e+154 and 5.93273463728949e+152 on (* (fabs im) (sqrt 2.0)) * [misc]regimes: searching between 6.606527231613102e+42 and 1.4594284080645956e+40 on (sqrt (- (- re) re)) * [misc]regimes: searching between +nan.0 and 1.8923518488316304e+148 on (sqrt (- (- re) re)) * [misc]regimes: searching between +nan.0 and +nan.0 on (sqrt (- (- re) re)) * [misc]regimes: searching between +nan.0 and +nan.0 on (sqrt (- (- re) re)) * [misc]regimes: searching between -7.0172869634259766e+131 and -4.41586851547346e+133 on (- (- re) re) * [misc]regimes: searching between 1.4907853375110065e-299 and -2.8410233961283245e-301 on (- (- re) re) * [misc]regimes: searching between 4.3646202062045486e+85 and 2.12993127826596e+80 on (- (- re) re) * [misc]regimes: Found splitpoints: (#s(sp 0 (* 2.0 (+ im re)) -1.7006361511761267e+159) #s(sp 1 (* 2.0 (+ im re)) 1.4656020637038876e-273) #s(sp 2 (* 2.0 (+ im re)) 3.225943514710755e-144) #s(sp 3 (* 2.0 (+ im re)) 1.2919995239625574e+155) #s(sp 2 (* 2.0 (+ im re)) +nan.0)) , with alts (# # # #) * [enter]simplify: Simplifying (if (<= (* 2.0 (+ im re)) -1.7006361511761267e+159) (/ (* (* (fabs im) (sqrt 2.0)) 0.5) (sqrt (- (- re) re))) (if (<= (* 2.0 (+ im re)) 1.4656020637038876e-273) (* 0.5 (/ (* (* (fabs im) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (if (<= (* 2.0 (+ im re)) 3.225943514710755e-144) (* 0.5 (sqrt (* 2.0 (+ im re)))) (if (<= (* 2.0 (+ im re)) 1.2919995239625574e+155) (* 0.5 (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (* 0.5 (sqrt (* 2.0 (+ im re)))))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * [exit]simplify: Simplified to (if (<= (* (+ im re) 2.0) -1.7006361511761267e+159) (/ (* 0.5 (* (sqrt 2.0) (fabs im))) (sqrt (- (- re) re))) (if (<= (* (+ im re) 2.0) 1.4656020637038876e-273) (* 0.5 (/ (* (* (sqrt (sqrt 2.0)) (fabs im)) (sqrt (sqrt 2.0))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (if (<= (* (+ im re) 2.0) 3.225943514710755e-144) (* (sqrt (* (+ im re) 2.0)) 0.5) (if (<= (* (+ im re) 2.0) 1.2919995239625574e+155) (* (* (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt 2.0)) 0.5) (* (sqrt (* (+ im re) 2.0)) 0.5)))))