* [misc]progress: [Phase 1 of 3] Setting up. * * * [misc]progress: [1/2] Preparing points * * * * [misc]points: Sampling 256 additional inputs, on iter 0 have 0 / 256 * * * * [misc]points: Computing exacts on every 16 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 8 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 4 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 2 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 256 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 256 points with exact outputs * * * [misc]progress: [2/2] Setting up program. * [misc]progress: [Phase 2 of 3] Improving. * [enter]simplify: Simplifying (sqrt (+ (* re re) (* im im))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (sqrt (+ (* re re) (* im im))) * * [misc]progress: iteration 1 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 1 ] rewriting at (2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 1 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (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]taylor: Taking 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 (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [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 (+ (* 1 0) (+ (* 0 0) (* 0 1))) 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]taylor: Taking 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 (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [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 (+ (* 1 0) (+ (* 0 0) (* 0 1))) 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: simplifying candidates * * * * [misc]progress: [ 1 / 17 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 17 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 17 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 17 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 17 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 17 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 17 ] 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 (+ (* re re) (* im im)))) * [misc]simplify: Simplified (2 1) to (λ (re im) (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))))) * * * * [misc]progress: [ 8 / 17 ] 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 (+ (* re re) (* im im)))) * [misc]simplify: Simplified (2 1) to (λ (re im) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) * * * * [misc]progress: [ 9 / 17 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (re im) (* 1 (sqrt (+ (* re re) (* im im))))) * * * * [misc]progress: [ 10 / 17 ] 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 (49 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (sqrt (+ (pow re 6) (pow im 6))) * [misc]simplify: Simplified (2 1) to (λ (re im) (/ (sqrt (+ (pow re 6) (pow im 6))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))))) * * * * [misc]progress: [ 11 / 17 ] 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 (78 enodes) * * [misc]simplify: iters left: 2 (175 enodes) * [exit]simplify: Simplified to (sqrt (- (pow re 4) (pow im 4))) * [misc]simplify: Simplified (2 1) to (λ (re im) (/ (sqrt (- (pow re 4) (pow im 4))) (sqrt (- (* re re) (* im im))))) * * * * [misc]progress: [ 12 / 17 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 17 ] 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 (+ (* re re) (* im im))) * [misc]simplify: Simplified (2 1) to (λ (re im) (fabs (sqrt (+ (* re re) (* im im))))) * * * * [misc]progress: [ 14 / 17 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 17 ] simplifiying candidate # * [enter]simplify: Simplifying im * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to im * [misc]simplify: Simplified (2) to (λ (re im) im) * * * * [misc]progress: [ 16 / 17 ] simplifiying candidate # * [enter]simplify: Simplifying re * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to re * [misc]simplify: Simplified (2) to (λ (re im) re) * * * * [misc]progress: [ 17 / 17 ] simplifiying candidate # * [enter]simplify: Simplifying (* -1 re) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (- re) * [misc]simplify: Simplified (2) to (λ (re im) (- re)) * * * [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 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 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]taylor: Taking 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 (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [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 (+ (* 1 0) (+ (* 0 0) (* 0 1))) 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]taylor: Taking 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 (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [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 (+ (* 1 0) (+ (* 0 0) (* 0 1))) 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 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]taylor: Taking 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 (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [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 (+ (* 1 0) (+ (* 0 0) (* 0 1))) 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]taylor: Taking 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 (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [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 (+ (* 1 0) (+ (* 0 0) (* 0 1))) 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: [ 3 / 4 ] generating series at (2 1 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]taylor: Taking 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 (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [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 (+ (* 1 0) (+ (* 0 0) (* 0 1))) 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]taylor: Taking 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 (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [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 (+ (* 1 0) (+ (* 0 0) (* 0 1))) 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: [ 4 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (cbrt (sqrt (+ (* re re) (* im im)))) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (+ (* re re) (* im im)))) in im * [misc]taylor: Rewrote expression to (pow (sqrt (+ (* re re) (* im im))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (+ (* re re) (* im im)))))) in im * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (+ (* re re) (* im im))))) in im * [misc]taylor: Taking taylor expansion of 1/3 in im * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (+ (* re re) (* im im)))) 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]backup-simplify: Simplify (log re) into (log re) * [misc]backup-simplify: Simplify (* 1/3 (log re)) into (* 1/3 (log re)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log re))) into (pow re 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (+ (* re re) (* im im)))) in re * [misc]taylor: Rewrote expression to (pow (sqrt (+ (* re re) (* im im))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (+ (* re re) (* im im)))))) in re * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (+ (* re re) (* im im))))) in re * [misc]taylor: Taking taylor expansion of 1/3 in re * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (+ (* re re) (* im im)))) 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]backup-simplify: Simplify (log im) into (log im) * [misc]backup-simplify: Simplify (* 1/3 (log im)) into (* 1/3 (log im)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log im))) into (pow im 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (+ (* re re) (* im im)))) in re * [misc]taylor: Rewrote expression to (pow (sqrt (+ (* re re) (* im im))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (+ (* re re) (* im im)))))) in re * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (+ (* re re) (* im im))))) in re * [misc]taylor: Taking taylor expansion of 1/3 in re * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (+ (* re re) (* im im)))) 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]backup-simplify: Simplify (log im) into (log im) * [misc]backup-simplify: Simplify (* 1/3 (log im)) into (* 1/3 (log im)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log im))) into (pow im 1/3) * [misc]taylor: Taking taylor expansion of (pow im 1/3) in im * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log im))) in im * [misc]taylor: Taking taylor expansion of (* 1/3 (log im)) in im * [misc]taylor: Taking taylor expansion of 1/3 in im * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log im) in im * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log im)) 0) into (log im) * [misc]backup-simplify: Simplify (* 1/3 (log im)) into (* 1/3 (log im)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log im))) into (pow im 1/3) * [misc]backup-simplify: Simplify (pow im 1/3) into (pow im 1/3) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow im 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log im))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log im))) (+ (* (/ (pow 0 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 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log im)) 0) into (log im) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log im))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 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 (/ (* (pow (* 1 0) 2)) (pow im 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/2 im)) 1)) (pow im 1)))) 2) into (/ 1/2 (pow im 2)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (log im)))) into (* 1/6 (/ 1 (pow im 2))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/6 (/ 1 (pow im 2))) 1) 1)))) into (* 1/6 (pow (/ 1 (pow im 5)) 1/3)) * [misc]taylor: Taking taylor expansion of (* 1/6 (pow (/ 1 (pow im 5)) 1/3)) in im * [misc]taylor: Taking taylor expansion of 1/6 in im * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (pow im 5)) 1/3) in im * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow im 5))))) in im * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 (pow im 5)))) in im * [misc]taylor: Taking taylor expansion of 1/3 in im * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ 1 (pow im 5))) in im * [misc]taylor: Taking taylor expansion of (/ 1 (pow im 5)) in im * [misc]taylor: Taking taylor expansion of (pow im 5) in im * [misc]taylor: Taking 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 (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 5) (log im)) 0) into (- (* 5 (log im))) * [misc]backup-simplify: Simplify (* 1/3 (- (* 5 (log im)))) into (* -5/3 (log im)) * [misc]backup-simplify: Simplify (exp (* -5/3 (log im))) into (pow im -5/3) * [misc]backup-simplify: Simplify (* 1/6 (pow im -5/3)) into (* 1/6 (pow (/ 1 (pow im 5)) 1/3)) * [misc]backup-simplify: Simplify (* 1/6 (pow (/ 1 (pow im 5)) 1/3)) into (* 1/6 (pow (/ 1 (pow im 5)) 1/3)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log im)) 0) into (log im) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log im)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) 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 (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow im 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1/2 im)) 1)) (pow im 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow im 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (log im))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log im))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/6 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 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 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 5) (log im)) 0) into (- (* 5 (log im))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (* 5 (log im))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -5/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (* 0 (pow im -5/3))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log im)) 0) into (log im) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log im))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log im))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/6 (pow (/ 1 (pow im 5)) 1/3)) (pow (* 1 re) 2)) (pow im 1/3)) into (+ (* 1/6 (* (pow re 2) (pow (/ 1 (pow im 5)) 1/3))) (pow im 1/3)) * [misc]approximate: Taking taylor expansion of (cbrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))) in im * [misc]taylor: Rewrote expression to (pow (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))))) in im * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) in im * [misc]taylor: Taking taylor expansion of 1/3 in im * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))) 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]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log im)) 0) into (- (log im)) * [misc]backup-simplify: Simplify (* 1/3 (- (log im))) into (* -1/3 (log im)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log im))) into (pow im -1/3) * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))) in re * [misc]taylor: Rewrote expression to (pow (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))))) in re * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) in re * [misc]taylor: Taking taylor expansion of 1/3 in re * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))) 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]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) * [misc]backup-simplify: Simplify (* 1/3 (- (log re))) into (* -1/3 (log re)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log re))) into (pow re -1/3) * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))) in re * [misc]taylor: Rewrote expression to (pow (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))))) in re * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) in re * [misc]taylor: Taking taylor expansion of 1/3 in re * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))) 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]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) * [misc]backup-simplify: Simplify (* 1/3 (- (log re))) into (* -1/3 (log re)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log re))) into (pow re -1/3) * [misc]taylor: Taking taylor expansion of (pow re -1/3) in im * [misc]taylor: Taking taylor expansion of (exp (* -1/3 (log re))) in im * [misc]taylor: Taking taylor expansion of (* -1/3 (log re)) in im * [misc]taylor: Taking taylor expansion of -1/3 in im * [misc]backup-simplify: Simplify -1/3 into -1/3 * [misc]taylor: Taking taylor expansion of (log re) in im * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]backup-simplify: Simplify (log re) into (log re) * [misc]backup-simplify: Simplify (* -1/3 (log re)) into (* -1/3 (log re)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log re))) into (pow re -1/3) * [misc]backup-simplify: Simplify (pow re -1/3) into (pow re -1/3) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log re)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 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 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* -1/3 0) (* 0 (log re))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 1) 1)))) 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 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/2 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1/2 (pow im 2)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re))))) into (* 1/6 (/ 1 (pow im 2))) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/6 (/ 1 (pow im 2))) 1) 1)))) into (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2)))) * [misc]taylor: Taking taylor expansion of (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2)))) in im * [misc]taylor: Taking taylor expansion of 1/6 in im * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2))) in im * [misc]taylor: Taking taylor expansion of (pow (/ 1 re) 1/3) in im * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 re)))) in im * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 re))) in im * [misc]taylor: Taking taylor expansion of 1/3 in im * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ 1 re)) in im * [misc]taylor: Taking taylor expansion of (/ 1 re) in im * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]backup-simplify: Simplify (/ 1 re) into (/ 1 re) * [misc]backup-simplify: Simplify (log (/ 1 re)) into (log (/ 1 re)) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 1 re))) into (* 1/3 (log (/ 1 re))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 1 re)))) into (pow (/ 1 re) 1/3) * [misc]taylor: Taking taylor expansion of (/ 1 (pow im 2)) in im * [misc]taylor: Taking taylor expansion of (pow im 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]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 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 re) (/ 0 re)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 re) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 re)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 re)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 re) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 re) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 re))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 re)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 re) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 re) 1/3) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (* (pow (/ 1 re) 1/3) 1) into (pow (/ 1 re) 1/3) * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (pow (/ 1 re) 1/3)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* -1/3 0) (+ (* 0 0) (* 0 (log re)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) 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 (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1/2 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/6 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 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 (pow (/ 1 re) -1/3) into (pow (/ 1 re) -1/3) * [misc]approximate: Taking taylor expansion of (cbrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) in im * [misc]taylor: Rewrote expression to (pow (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))))) in im * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) in im * [misc]taylor: Taking taylor expansion of 1/3 in im * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) 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]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log im)) 0) into (- (log im)) * [misc]backup-simplify: Simplify (* 1/3 (- (log im))) into (* -1/3 (log im)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log im))) into (pow im -1/3) * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) in re * [misc]taylor: Rewrote expression to (pow (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))))) in re * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) in re * [misc]taylor: Taking taylor expansion of 1/3 in re * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) 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]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) * [misc]backup-simplify: Simplify (* 1/3 (- (log re))) into (* -1/3 (log re)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log re))) into (pow re -1/3) * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) in re * [misc]taylor: Rewrote expression to (pow (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))))) in re * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) in re * [misc]taylor: Taking taylor expansion of 1/3 in re * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) 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]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) * [misc]backup-simplify: Simplify (* 1/3 (- (log re))) into (* -1/3 (log re)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log re))) into (pow re -1/3) * [misc]taylor: Taking taylor expansion of (pow re -1/3) in im * [misc]taylor: Taking taylor expansion of (exp (* -1/3 (log re))) in im * [misc]taylor: Taking taylor expansion of (* -1/3 (log re)) in im * [misc]taylor: Taking taylor expansion of -1/3 in im * [misc]backup-simplify: Simplify -1/3 into -1/3 * [misc]taylor: Taking taylor expansion of (log re) in im * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]backup-simplify: Simplify (log re) into (log re) * [misc]backup-simplify: Simplify (* -1/3 (log re)) into (* -1/3 (log re)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log re))) into (pow re -1/3) * [misc]backup-simplify: Simplify (pow re -1/3) into (pow re -1/3) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log re)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 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 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* -1/3 0) (* 0 (log re))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/2 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1/2 (pow im 2)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re))))) into (* 1/6 (/ 1 (pow im 2))) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/6 (/ 1 (pow im 2))) 1) 1)))) into (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2)))) * [misc]taylor: Taking taylor expansion of (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2)))) in im * [misc]taylor: Taking taylor expansion of 1/6 in im * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2))) in im * [misc]taylor: Taking taylor expansion of (pow (/ 1 re) 1/3) in im * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 re)))) in im * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 re))) in im * [misc]taylor: Taking taylor expansion of 1/3 in im * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ 1 re)) in im * [misc]taylor: Taking taylor expansion of (/ 1 re) in im * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]backup-simplify: Simplify (/ 1 re) into (/ 1 re) * [misc]backup-simplify: Simplify (log (/ 1 re)) into (log (/ 1 re)) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 1 re))) into (* 1/3 (log (/ 1 re))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 1 re)))) into (pow (/ 1 re) 1/3) * [misc]taylor: Taking taylor expansion of (/ 1 (pow im 2)) in im * [misc]taylor: Taking taylor expansion of (pow im 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]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 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 re) (/ 0 re)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 re) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 re)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 re)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 re) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 re) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 re))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 re)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 re) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 re) 1/3) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (* (pow (/ 1 re) 1/3) 1) into (pow (/ 1 re) 1/3) * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (pow (/ 1 re) 1/3)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* -1/3 0) (+ (* 0 0) (* 0 (log re)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -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 (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1/2 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/6 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 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 (pow (/ 1 (- re)) -1/3) into (pow (/ -1 re) -1/3) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 70 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 70 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 70 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 70 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 70 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 70 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 70 ] 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 (+ (* re re) (* im im)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (re im) (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))))))) * * * * [misc]progress: [ 8 / 70 ] 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 (+ (* re re) (* im im)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (re im) (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))))) * * * * [misc]progress: [ 9 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1 1) to (λ (re im) (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (* 1 (sqrt (+ (* re re) (* im im))))))) * * * * [misc]progress: [ 10 / 70 ] 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 (49 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (sqrt (+ (pow re 6) (pow im 6))) * [misc]simplify: Simplified (2 2 1 1) to (λ (re im) (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (/ (sqrt (+ (pow re 6) (pow im 6))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))))))) * * * * [misc]progress: [ 11 / 70 ] 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 (78 enodes) * * [misc]simplify: iters left: 2 (175 enodes) * [exit]simplify: Simplified to (sqrt (- (pow re 4) (pow im 4))) * [misc]simplify: Simplified (2 2 1 1) to (λ (re im) (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (/ (sqrt (- (pow re 4) (pow im 4))) (sqrt (- (* re re) (* im im))))))) * * * * [misc]progress: [ 12 / 70 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 70 ] 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 (+ (* re re) (* im im))) * [misc]simplify: Simplified (2 2 1 1) to (λ (re im) (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (fabs (sqrt (+ (* re re) (* im im))))))) * * * * [misc]progress: [ 14 / 70 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 70 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 70 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 70 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 70 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 70 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 70 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 70 ] 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 (+ (* re re) (* im im)))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (re im) (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im))))))) (cbrt (sqrt (+ (* re re) (* im im)))))) * * * * [misc]progress: [ 22 / 70 ] 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 (+ (* re re) (* im im)))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (re im) (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (+ (* re re) (* im im)))))) * * * * [misc]progress: [ 23 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 2 1 1) to (λ (re im) (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* 1 (sqrt (+ (* re re) (* im im)))))) (cbrt (sqrt (+ (* re re) (* im im)))))) * * * * [misc]progress: [ 24 / 70 ] 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 (49 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (sqrt (+ (pow re 6) (pow im 6))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (re im) (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (/ (sqrt (+ (pow re 6) (pow im 6))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))))) (cbrt (sqrt (+ (* re re) (* im im)))))) * * * * [misc]progress: [ 25 / 70 ] 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 (78 enodes) * * [misc]simplify: iters left: 2 (175 enodes) * [exit]simplify: Simplified to (sqrt (- (pow re 4) (pow im 4))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (re im) (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (/ (sqrt (- (pow re 4) (pow im 4))) (sqrt (- (* re re) (* im im)))))) (cbrt (sqrt (+ (* re re) (* im im)))))) * * * * [misc]progress: [ 26 / 70 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 70 ] 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 (+ (* re re) (* im im))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (re im) (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (fabs (sqrt (+ (* re re) (* im im)))))) (cbrt (sqrt (+ (* re re) (* im im)))))) * * * * [misc]progress: [ 28 / 70 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 70 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 70 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 70 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 70 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 70 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 70 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 70 ] 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 (+ (* re re) (* im im)))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (re im) (* (* (cbrt (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))))) * * * * [misc]progress: [ 36 / 70 ] 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 (+ (* re re) (* im im)))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (re im) (* (* (cbrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))))) * * * * [misc]progress: [ 37 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1 1 1) to (λ (re im) (* (* (cbrt (* 1 (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))))) * * * * [misc]progress: [ 38 / 70 ] 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 (49 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (sqrt (+ (pow re 6) (pow im 6))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (re im) (* (* (cbrt (/ (sqrt (+ (pow re 6) (pow im 6))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))))) * * * * [misc]progress: [ 39 / 70 ] 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 (78 enodes) * * [misc]simplify: iters left: 2 (175 enodes) * [exit]simplify: Simplified to (sqrt (- (pow re 4) (pow im 4))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (re im) (* (* (cbrt (/ (sqrt (- (pow re 4) (pow im 4))) (sqrt (- (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))))) * * * * [misc]progress: [ 40 / 70 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 70 ] 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 (+ (* re re) (* im im))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (re im) (* (* (cbrt (fabs (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))))) * * * * [misc]progress: [ 42 / 70 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 70 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 70 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 70 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 70 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))) * [misc]simplify: Simplified (2 2 1) to (λ (re im) (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (* (cbrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))) (cbrt (cbrt (sqrt (+ (* re re) (* im im)))))))) * * * * [misc]progress: [ 48 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (cbrt (fabs (cbrt (+ (* re re) (* im im))))) * [misc]simplify: Simplified (2 2 1) to (λ (re im) (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (* (cbrt (fabs (cbrt (+ (* re re) (* im im))))) (cbrt (sqrt (cbrt (+ (* re re) (* im im)))))))) * * * * [misc]progress: [ 49 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (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 (sqrt (+ (* re re) (* im im))))) * [misc]simplify: Simplified (2 2 1) to (λ (re im) (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))))) * * * * [misc]progress: [ 50 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt 1)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1) to (λ (re im) (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (* 1 (cbrt (sqrt (+ (* re re) (* im im))))))) * * * * [misc]progress: [ 51 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (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 (sqrt (+ (* re re) (* im im))))) * [misc]simplify: Simplified (2 2 1) to (λ (re im) (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))))) * * * * [misc]progress: [ 52 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1) to (λ (re im) (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (* 1 (cbrt (sqrt (+ (* re re) (* im im))))))) * * * * [misc]progress: [ 53 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (62 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ (pow re 6) (pow im 6)))) * [misc]simplify: Simplified (2 2 1) to (λ (re im) (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (/ (cbrt (sqrt (+ (pow re 6) (pow im 6)))) (cbrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))))))) * * * * [misc]progress: [ 54 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (176 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (- (pow re 4) (pow im 4)))) * [misc]simplify: Simplified (2 2 1) to (λ (re im) (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (/ (cbrt (sqrt (- (pow re 4) (pow im 4)))) (cbrt (sqrt (- (* re re) (* im im))))))) * * * * [misc]progress: [ 55 / 70 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 70 ] simplifiying candidate # * * * * [misc]progress: [ 57 / 70 ] simplifiying candidate # * * * * [misc]progress: [ 58 / 70 ] simplifiying candidate # * * * * [misc]progress: [ 59 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying im * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to im * [misc]simplify: Simplified (2 2 1) to (λ (re im) (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt im))) * * * * [misc]progress: [ 60 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying re * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to re * [misc]simplify: Simplified (2 2 1) to (λ (re im) (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt re))) * * * * [misc]progress: [ 61 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (* -1 re) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (- re) * [misc]simplify: Simplified (2 2 1) to (λ (re im) (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (- re)))) * * * * [misc]progress: [ 62 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying im * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to im * [misc]simplify: Simplified (2 1 2 1) to (λ (re im) (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt im)) (cbrt (sqrt (+ (* re re) (* im im)))))) * * * * [misc]progress: [ 63 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying re * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to re * [misc]simplify: Simplified (2 1 2 1) to (λ (re im) (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt re)) (cbrt (sqrt (+ (* re re) (* im im)))))) * * * * [misc]progress: [ 64 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (* -1 re) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (- re) * [misc]simplify: Simplified (2 1 2 1) to (λ (re im) (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (- re))) (cbrt (sqrt (+ (* re re) (* im im)))))) * * * * [misc]progress: [ 65 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying im * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to im * [misc]simplify: Simplified (2 1 1 1) to (λ (re im) (* (* (cbrt im) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))))) * * * * [misc]progress: [ 66 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying re * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to re * [misc]simplify: Simplified (2 1 1 1) to (λ (re im) (* (* (cbrt re) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))))) * * * * [misc]progress: [ 67 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (* -1 re) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (- re) * [misc]simplify: Simplified (2 1 1 1) to (λ (re im) (* (* (cbrt (- re)) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))))) * * * * [misc]progress: [ 68 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/6 (* (pow re 2) (pow (/ 1 (pow im 5)) 1/3))) (pow im 1/3)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * [exit]simplify: Simplified to (+ (* (* (* re re) 1/6) (cbrt (/ 1 (pow im 5)))) (cbrt im)) * [misc]simplify: Simplified (2 2) to (λ (re im) (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (+ (* (* (* re re) 1/6) (cbrt (/ 1 (pow im 5)))) (cbrt im)))) * * * * [misc]progress: [ 69 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (/ 1 re) -1/3) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (pow (/ 1 re) -1/3) * [misc]simplify: Simplified (2 2) to (λ (re im) (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (pow (/ 1 re) -1/3))) * * * * [misc]progress: [ 70 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (/ -1 re) -1/3) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (pow (/ -1 re) -1/3) * [misc]simplify: Simplified (2 2) to (λ (re im) (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (pow (/ -1 re) -1/3))) * * * [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 1 2 1 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 1 1 1 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 2 1) * * * [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]taylor: Taking 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 (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [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 (+ (* 1 0) (+ (* 0 0) (* 0 1))) 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]taylor: Taking 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 (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [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 (+ (* 1 0) (+ (* 0 0) (* 0 1))) 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 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]taylor: Taking 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 (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [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 (+ (* 1 0) (+ (* 0 0) (* 0 1))) 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]taylor: Taking 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 (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [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 (+ (* 1 0) (+ (* 0 0) (* 0 1))) 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: [ 3 / 4 ] generating series at (2 2 1 1 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]taylor: Taking 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 (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [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 (+ (* 1 0) (+ (* 0 0) (* 0 1))) 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]taylor: Taking 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 (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [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 (+ (* 1 0) (+ (* 0 0) (* 0 1))) 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: [ 4 / 4 ] generating series at (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]taylor: Taking 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 (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [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 (+ (* 1 0) (+ (* 0 0) (* 0 1))) 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]taylor: Taking 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 (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [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 (+ (* 1 0) (+ (* 0 0) (* 0 1))) 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: simplifying candidates * * * * [misc]progress: [ 1 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 68 ] 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 (+ (* re re) (* im im)))) * [misc]simplify: Simplified (2 2 2 1 1 1) to (λ (re im) (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (* (* (cbrt (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (cbrt (sqrt (+ (* re re) (* im im)))))) (cbrt (cbrt (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))))))))) * * * * [misc]progress: [ 8 / 68 ] 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 (+ (* re re) (* im im)))) * [misc]simplify: Simplified (2 2 2 1 1 1) to (λ (re im) (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (* (* (cbrt (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (cbrt (sqrt (+ (* re re) (* im im)))))) (cbrt (cbrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))))))) * * * * [misc]progress: [ 9 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 2 1 1 1) to (λ (re im) (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (* (* (cbrt (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (cbrt (sqrt (+ (* re re) (* im im)))))) (cbrt (cbrt (* 1 (sqrt (+ (* re re) (* im im))))))))) * * * * [misc]progress: [ 10 / 68 ] 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 (49 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (sqrt (+ (pow re 6) (pow im 6))) * [misc]simplify: Simplified (2 2 2 1 1 1) to (λ (re im) (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (* (* (cbrt (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (cbrt (sqrt (+ (* re re) (* im im)))))) (cbrt (cbrt (/ (sqrt (+ (pow re 6) (pow im 6))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))))))))) * * * * [misc]progress: [ 11 / 68 ] 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 (78 enodes) * * [misc]simplify: iters left: 2 (175 enodes) * [exit]simplify: Simplified to (sqrt (- (pow re 4) (pow im 4))) * [misc]simplify: Simplified (2 2 2 1 1 1) to (λ (re im) (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (* (* (cbrt (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (cbrt (sqrt (+ (* re re) (* im im)))))) (cbrt (cbrt (/ (sqrt (- (pow re 4) (pow im 4))) (sqrt (- (* re re) (* im im))))))))) * * * * [misc]progress: [ 12 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 68 ] 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 (+ (* re re) (* im im))) * [misc]simplify: Simplified (2 2 2 1 1 1) to (λ (re im) (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (* (* (cbrt (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (cbrt (sqrt (+ (* re re) (* im im)))))) (cbrt (cbrt (fabs (sqrt (+ (* re re) (* im im))))))))) * * * * [misc]progress: [ 14 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 68 ] 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 (+ (* re re) (* im im)))) * [misc]simplify: Simplified (2 2 1 2 1 1 1) to (λ (re im) (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (* (* (cbrt (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (cbrt (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))))))) (cbrt (cbrt (sqrt (+ (* re re) (* im im)))))))) * * * * [misc]progress: [ 22 / 68 ] 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 (+ (* re re) (* im im)))) * [misc]simplify: Simplified (2 2 1 2 1 1 1) to (λ (re im) (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (* (* (cbrt (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (cbrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))))) (cbrt (cbrt (sqrt (+ (* re re) (* im im)))))))) * * * * [misc]progress: [ 23 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1 2 1 1 1) to (λ (re im) (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (* (* (cbrt (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (cbrt (* 1 (sqrt (+ (* re re) (* im im))))))) (cbrt (cbrt (sqrt (+ (* re re) (* im im)))))))) * * * * [misc]progress: [ 24 / 68 ] 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 (49 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (sqrt (+ (pow re 6) (pow im 6))) * [misc]simplify: Simplified (2 2 1 2 1 1 1) to (λ (re im) (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (* (* (cbrt (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (cbrt (/ (sqrt (+ (pow re 6) (pow im 6))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))))))) (cbrt (cbrt (sqrt (+ (* re re) (* im im)))))))) * * * * [misc]progress: [ 25 / 68 ] 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 (78 enodes) * * [misc]simplify: iters left: 2 (175 enodes) * [exit]simplify: Simplified to (sqrt (- (pow re 4) (pow im 4))) * [misc]simplify: Simplified (2 2 1 2 1 1 1) to (λ (re im) (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (* (* (cbrt (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (cbrt (/ (sqrt (- (pow re 4) (pow im 4))) (sqrt (- (* re re) (* im im))))))) (cbrt (cbrt (sqrt (+ (* re re) (* im im)))))))) * * * * [misc]progress: [ 26 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 68 ] 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 (+ (* re re) (* im im))) * [misc]simplify: Simplified (2 2 1 2 1 1 1) to (λ (re im) (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (* (* (cbrt (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (cbrt (fabs (sqrt (+ (* re re) (* im im))))))) (cbrt (cbrt (sqrt (+ (* re re) (* im im)))))))) * * * * [misc]progress: [ 28 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 68 ] 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 (+ (* re re) (* im im)))) * [misc]simplify: Simplified (2 2 1 1 1 1 1) to (λ (re im) (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (* (* (cbrt (cbrt (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im))))))) (cbrt (cbrt (sqrt (+ (* re re) (* im im)))))) (cbrt (cbrt (sqrt (+ (* re re) (* im im)))))))) * * * * [misc]progress: [ 36 / 68 ] 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 (+ (* re re) (* im im)))) * [misc]simplify: Simplified (2 2 1 1 1 1 1) to (λ (re im) (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (* (* (cbrt (cbrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))) (cbrt (cbrt (sqrt (+ (* re re) (* im im)))))) (cbrt (cbrt (sqrt (+ (* re re) (* im im)))))))) * * * * [misc]progress: [ 37 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1 1 1 1 1) to (λ (re im) (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (* (* (cbrt (cbrt (* 1 (sqrt (+ (* re re) (* im im)))))) (cbrt (cbrt (sqrt (+ (* re re) (* im im)))))) (cbrt (cbrt (sqrt (+ (* re re) (* im im)))))))) * * * * [misc]progress: [ 38 / 68 ] 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 (49 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (sqrt (+ (pow re 6) (pow im 6))) * [misc]simplify: Simplified (2 2 1 1 1 1 1) to (λ (re im) (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (* (* (cbrt (cbrt (/ (sqrt (+ (pow re 6) (pow im 6))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))))) (cbrt (cbrt (sqrt (+ (* re re) (* im im)))))) (cbrt (cbrt (sqrt (+ (* re re) (* im im)))))))) * * * * [misc]progress: [ 39 / 68 ] 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 (78 enodes) * * [misc]simplify: iters left: 2 (175 enodes) * [exit]simplify: Simplified to (sqrt (- (pow re 4) (pow im 4))) * [misc]simplify: Simplified (2 2 1 1 1 1 1) to (λ (re im) (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (* (* (cbrt (cbrt (/ (sqrt (- (pow re 4) (pow im 4))) (sqrt (- (* re re) (* im im)))))) (cbrt (cbrt (sqrt (+ (* re re) (* im im)))))) (cbrt (cbrt (sqrt (+ (* re re) (* im im)))))))) * * * * [misc]progress: [ 40 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 68 ] 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 (+ (* re re) (* im im))) * [misc]simplify: Simplified (2 2 1 1 1 1 1) to (λ (re im) (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (* (* (cbrt (cbrt (fabs (sqrt (+ (* re re) (* im im)))))) (cbrt (cbrt (sqrt (+ (* re re) (* im im)))))) (cbrt (cbrt (sqrt (+ (* re re) (* im im)))))))) * * * * [misc]progress: [ 42 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 68 ] 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 (+ (* re re) (* im im)))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (re im) (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im))))))) (* (* (cbrt (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (cbrt (sqrt (+ (* re re) (* im im)))))) (cbrt (cbrt (sqrt (+ (* re re) (* im im)))))))) * * * * [misc]progress: [ 50 / 68 ] 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 (+ (* re re) (* im im)))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (re im) (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))) (* (* (cbrt (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (cbrt (sqrt (+ (* re re) (* im im)))))) (cbrt (cbrt (sqrt (+ (* re re) (* im im)))))))) * * * * [misc]progress: [ 51 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 2 1 1) to (λ (re im) (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* 1 (sqrt (+ (* re re) (* im im)))))) (* (* (cbrt (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (cbrt (sqrt (+ (* re re) (* im im)))))) (cbrt (cbrt (sqrt (+ (* re re) (* im im)))))))) * * * * [misc]progress: [ 52 / 68 ] 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 (49 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (sqrt (+ (pow re 6) (pow im 6))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (re im) (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (/ (sqrt (+ (pow re 6) (pow im 6))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))))) (* (* (cbrt (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (cbrt (sqrt (+ (* re re) (* im im)))))) (cbrt (cbrt (sqrt (+ (* re re) (* im im)))))))) * * * * [misc]progress: [ 53 / 68 ] 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 (78 enodes) * * [misc]simplify: iters left: 2 (175 enodes) * [exit]simplify: Simplified to (sqrt (- (pow re 4) (pow im 4))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (re im) (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (/ (sqrt (- (pow re 4) (pow im 4))) (sqrt (- (* re re) (* im im)))))) (* (* (cbrt (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (cbrt (sqrt (+ (* re re) (* im im)))))) (cbrt (cbrt (sqrt (+ (* re re) (* im im)))))))) * * * * [misc]progress: [ 54 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 68 ] 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 (+ (* re re) (* im im))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (re im) (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (fabs (sqrt (+ (* re re) (* im im)))))) (* (* (cbrt (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (cbrt (sqrt (+ (* re re) (* im im)))))) (cbrt (cbrt (sqrt (+ (* re re) (* im im)))))))) * * * * [misc]progress: [ 56 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 57 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying im * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to im * [misc]simplify: Simplified (2 2 2 1 1) to (λ (re im) (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (* (* (cbrt (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (cbrt (sqrt (+ (* re re) (* im im)))))) (cbrt (cbrt im))))) * * * * [misc]progress: [ 58 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying re * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to re * [misc]simplify: Simplified (2 2 2 1 1) to (λ (re im) (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (* (* (cbrt (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (cbrt (sqrt (+ (* re re) (* im im)))))) (cbrt (cbrt re))))) * * * * [misc]progress: [ 59 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (* -1 re) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (- re) * [misc]simplify: Simplified (2 2 2 1 1) to (λ (re im) (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (* (* (cbrt (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (cbrt (sqrt (+ (* re re) (* im im)))))) (cbrt (cbrt (- re)))))) * * * * [misc]progress: [ 60 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying im * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to im * [misc]simplify: Simplified (2 2 1 2 1 1) to (λ (re im) (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (* (* (cbrt (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (cbrt im))) (cbrt (cbrt (sqrt (+ (* re re) (* im im)))))))) * * * * [misc]progress: [ 61 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying re * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to re * [misc]simplify: Simplified (2 2 1 2 1 1) to (λ (re im) (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (* (* (cbrt (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (cbrt re))) (cbrt (cbrt (sqrt (+ (* re re) (* im im)))))))) * * * * [misc]progress: [ 62 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (* -1 re) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (- re) * [misc]simplify: Simplified (2 2 1 2 1 1) to (λ (re im) (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (* (* (cbrt (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (cbrt (- re)))) (cbrt (cbrt (sqrt (+ (* re re) (* im im)))))))) * * * * [misc]progress: [ 63 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying im * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to im * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (re im) (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (* (* (cbrt (cbrt im)) (cbrt (cbrt (sqrt (+ (* re re) (* im im)))))) (cbrt (cbrt (sqrt (+ (* re re) (* im im)))))))) * * * * [misc]progress: [ 64 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying re * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to re * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (re im) (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (* (* (cbrt (cbrt re)) (cbrt (cbrt (sqrt (+ (* re re) (* im im)))))) (cbrt (cbrt (sqrt (+ (* re re) (* im im)))))))) * * * * [misc]progress: [ 65 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (* -1 re) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (- re) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (re im) (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (* (* (cbrt (cbrt (- re))) (cbrt (cbrt (sqrt (+ (* re re) (* im im)))))) (cbrt (cbrt (sqrt (+ (* re re) (* im im)))))))) * * * * [misc]progress: [ 66 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying im * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to im * [misc]simplify: Simplified (2 1 2 1) to (λ (re im) (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt im)) (* (* (cbrt (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (cbrt (sqrt (+ (* re re) (* im im)))))) (cbrt (cbrt (sqrt (+ (* re re) (* im im)))))))) * * * * [misc]progress: [ 67 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying re * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to re * [misc]simplify: Simplified (2 1 2 1) to (λ (re im) (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt re)) (* (* (cbrt (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (cbrt (sqrt (+ (* re re) (* im im)))))) (cbrt (cbrt (sqrt (+ (* re re) (* im im)))))))) * * * * [misc]progress: [ 68 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (* -1 re) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (- re) * [misc]simplify: Simplified (2 1 2 1) to (λ (re im) (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (- re))) (* (* (cbrt (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (cbrt (sqrt (+ (* re re) (* im im)))))) (cbrt (cbrt (sqrt (+ (* re re) (* im 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: generating series expansions * * * [misc]progress: simplifying candidates * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime: Finding splitpoints for: (# # # # #) * * * [misc]regime-changes: Trying 6 branch expressions: (im (* im im) re (* re re) (+ (* re re) (* im im)) (sqrt (+ (* re re) (* im im)))) * * * * [misc]regimes: Trying to branch on im from (# # # # #) * * * * [misc]regimes: Trying to branch on (* im im) from (# # # # #) * * * * [misc]regimes: Trying to branch on (* im im) from (# # # #) * * * * [misc]regimes: Trying to branch on re from (# # # # #) * * * * [misc]regimes: Trying to branch on (* re re) from (# # # # #) * * * * [misc]regimes: Trying to branch on (* re re) from (# # #) * * * * [misc]regimes: Trying to branch on (+ (* re re) (* im im)) from (# # # # #) * * * * [misc]regimes: Trying to branch on (+ (* re re) (* im im)) from (# #) * * * * [misc]regimes: Trying to branch on (sqrt (+ (* re re) (* im im))) from (# # # # #) * * * * [misc]regimes: Trying to branch on (sqrt (+ (* re re) (* im im))) from (# #) * * * [misc]regime: Found split indices: #