* [misc]progress: [Phase 1 of 3] Setting up. * * * [misc]progress: [1/2] Preparing points * * * [misc]progress: [2/2] Setting up program. * [enter]simplify: Simplifying (* 0.5 (sqrt (* 2.0 (+ (sqrt (- (* re re) (* im im))) re)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * [exit]simplify: Simplified to (* 0.5 (sqrt (* (+ re (sqrt (- (* re re) (* im im)))) 2.0))) * [misc]progress: [Phase 2 of 3] Improving. * * [misc]progress: iteration 1 / 2 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (sqrt (* 2.0 (+ (sqrt (- (* re re) (* im im))) re))) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (* 2.0 (+ (sqrt (- (* re re) (* im im))) re))) in im * [misc]taylor: Taking taylor expansion of (* 2.0 (+ (sqrt (- (* re re) (* im im))) re)) in im * [misc]taylor: Taking taylor expansion of 2.0 in im * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]taylor: Taking taylor expansion of (+ (sqrt (- (* re re) (* im im))) re) in im * [misc]taylor: Taking taylor expansion of (sqrt (- (* re re) (* im im))) in im * [misc]taylor: Taking taylor expansion of (- (* re re) (* im im)) in im * [misc]taylor: Taking taylor expansion of (* re re) in im * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]taylor: Taking taylor expansion of (* im im) in im * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* re re) into (sqr re) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (sqr re) 0) into (sqr re) * [misc]backup-simplify: Simplify (sqrt (sqr re)) 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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqr re)))) into 0 * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]backup-simplify: Simplify (+ re re) into (* 2 re) * [misc]backup-simplify: Simplify (* 2.0 (* 2 re)) into (* 4.0 re) * [misc]backup-simplify: Simplify (sqrt (* 4.0 re)) into (* (sqrt re) (sqrt 4.0)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2.0 0) (* 0 (* 2 re))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* 4.0 re)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (* 2.0 (+ (sqrt (- (* re re) (* im im))) re))) in re * [misc]taylor: Taking taylor expansion of (* 2.0 (+ (sqrt (- (* re re) (* im im))) re)) in re * [misc]taylor: Taking taylor expansion of 2.0 in re * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]taylor: Taking taylor expansion of (+ (sqrt (- (* re re) (* im im))) re) in re * [misc]taylor: Taking taylor expansion of (sqrt (- (* re re) (* im im))) in re * [misc]taylor: Taking taylor expansion of (- (* re re) (* im im)) in re * [misc]taylor: Taking taylor expansion of (* re re) in re * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* im im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* im im) into (sqr im) * [misc]backup-simplify: Simplify (- (sqr im)) into (- (sqr im)) * [misc]backup-simplify: Simplify (+ 0 (- (sqr im))) into (- (sqr im)) * [misc]backup-simplify: Simplify (sqrt (- (sqr im))) into (sqrt (- (sqr 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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (- (sqr im))))) into 0 * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (sqrt (- (sqr im))) 0) into (sqrt (- (sqr im))) * [misc]backup-simplify: Simplify (* 2.0 (sqrt (- (sqr im)))) into (* 2.0 (sqrt (- (sqr im)))) * [misc]backup-simplify: Simplify (sqrt (* 2.0 (sqrt (- (sqr im))))) into (* (sqrt 2.0) (sqrt (sqrt (- (sqr im))))) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* 2.0 1) (* 0 (sqrt (- (sqr im))))) into 2.0 * [misc]backup-simplify: Simplify (/ 2.0 (* 2 (sqrt (* 2.0 (sqrt (- (sqr im))))))) into (* 1.0 (* (/ 1 (sqrt 2.0)) (sqrt (/ 1 (sqrt (- (sqr im))))))) * [misc]taylor: Taking taylor expansion of (sqrt (* 2.0 (+ (sqrt (- (* re re) (* im im))) re))) in re * [misc]taylor: Taking taylor expansion of (* 2.0 (+ (sqrt (- (* re re) (* im im))) re)) in re * [misc]taylor: Taking taylor expansion of 2.0 in re * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]taylor: Taking taylor expansion of (+ (sqrt (- (* re re) (* im im))) re) in re * [misc]taylor: Taking taylor expansion of (sqrt (- (* re re) (* im im))) in re * [misc]taylor: Taking taylor expansion of (- (* re re) (* im im)) in re * [misc]taylor: Taking taylor expansion of (* re re) in re * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* im im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* im im) into (sqr im) * [misc]backup-simplify: Simplify (- (sqr im)) into (- (sqr im)) * [misc]backup-simplify: Simplify (+ 0 (- (sqr im))) into (- (sqr im)) * [misc]backup-simplify: Simplify (sqrt (- (sqr im))) into (sqrt (- (sqr 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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (- (sqr im))))) into 0 * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (sqrt (- (sqr im))) 0) into (sqrt (- (sqr im))) * [misc]backup-simplify: Simplify (* 2.0 (sqrt (- (sqr im)))) into (* 2.0 (sqrt (- (sqr im)))) * [misc]backup-simplify: Simplify (sqrt (* 2.0 (sqrt (- (sqr im))))) into (* (sqrt 2.0) (sqrt (sqrt (- (sqr im))))) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* 2.0 1) (* 0 (sqrt (- (sqr im))))) into 2.0 * [misc]backup-simplify: Simplify (/ 2.0 (* 2 (sqrt (* 2.0 (sqrt (- (sqr im))))))) into (* 1.0 (* (/ 1 (sqrt 2.0)) (sqrt (/ 1 (sqrt (- (sqr im))))))) * [misc]taylor: Taking taylor expansion of (* (sqrt 2.0) (sqrt (sqrt (- (sqr im))))) in im * [misc]taylor: Taking taylor expansion of (sqrt 2.0) in im * [misc]taylor: Taking taylor expansion of 2.0 in im * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (sqrt 2.0) into (sqrt 2.0) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (- (sqr im)))) in im * [misc]taylor: Taking taylor expansion of (sqrt (- (sqr im))) in im * [misc]taylor: Taking taylor expansion of (- (sqr im)) in im * [misc]taylor: Taking taylor expansion of (sqr im) in im * [misc]taylor: Taking 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 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (sqrt -1) (* 2 (sqrt 0))) into (* +nan.0 (sqrt -1)) * [misc]backup-simplify: Simplify (* (sqrt 2.0) 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of (* 1.0 (* (/ 1 (sqrt 2.0)) (sqrt (/ 1 (sqrt (- (sqr im))))))) in im * [misc]taylor: Taking taylor expansion of 1.0 in im * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]taylor: Taking taylor expansion of (* (/ 1 (sqrt 2.0)) (sqrt (/ 1 (sqrt (- (sqr im)))))) in im * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt 2.0)) in im * [misc]taylor: Taking taylor expansion of (sqrt 2.0) in im * [misc]taylor: Taking taylor expansion of 2.0 in im * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (sqrt 2.0) into (sqrt 2.0) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0)) * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (sqrt (- (sqr im))))) in im * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt (- (sqr im)))) in im * [misc]taylor: Taking taylor expansion of (sqrt (- (sqr im))) in im * [misc]taylor: Taking taylor expansion of (- (sqr im)) in im * [misc]taylor: Taking taylor expansion of (sqr im) in im * [misc]taylor: Taking 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 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify (/ 1 (sqrt -1)) into (/ 1 (sqrt -1)) * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (/ 1 (sqrt -1)) (* 2 (sqrt 0))) into (/ +nan.0 (sqrt -1)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2.0)) (/ +nan.0 (sqrt -1))) (* 0 0)) into (- (* +nan.0 (/ 1 (* (sqrt 2.0) (sqrt -1))))) * [misc]backup-simplify: Simplify (* (/ 1 (sqrt 2.0)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1.0 (- (* +nan.0 (/ 1 (* (sqrt 2.0) (sqrt -1)))))) (* 0 0)) into (- (* +nan.0 (/ 1 (* (sqrt 2.0) (sqrt -1))))) * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (* (sqrt 2.0) (sqrt -1))))) into (- (* +nan.0 (/ 1 (* (sqrt 2.0) (sqrt -1))))) * [misc]backup-simplify: Simplify (+ (* (sqrt 2.0) (* +nan.0 (sqrt -1))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2.0) (sqrt -1)))) * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2.0) (sqrt -1)))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt -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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (sqr 0) (+)) (* 2 (sqrt (- (sqr im))))) into (/ 1/2 (sqrt (- (sqr im)))) * [misc]backup-simplify: Simplify (+ (/ 1/2 (sqrt (- (sqr im)))) 0) into (* 1/2 (/ 1 (sqrt (- (sqr im))))) * [misc]backup-simplify: Simplify (+ (* 2.0 (* 1/2 (/ 1 (sqrt (- (sqr im)))))) (+ (* 0 1) (* 0 (sqrt (- (sqr im)))))) into (* 1.0 (/ 1 (sqrt (- (sqr im))))) * [misc]backup-simplify: Simplify (/ (- (* 1.0 (/ 1 (sqrt (- (sqr im))))) (sqr (* 1.0 (* (/ 1 (sqrt 2.0)) (sqrt (/ 1 (sqrt (- (sqr im)))))))) (+)) (* 2 (* (sqrt 2.0) (sqrt (sqrt (- (sqr im))))))) into (* 1/2 (* (/ (- (* 1.0 (/ 1 (sqrt (- (sqr im))))) (* 1.0 (/ 1 (* (sqr (sqrt 2.0)) (sqrt (- (sqr im))))))) (sqrt 2.0)) (sqrt (/ 1 (sqrt (- (sqr im))))))) * [misc]taylor: Taking taylor expansion of (* 1/2 (* (/ (- (* 1.0 (/ 1 (sqrt (- (sqr im))))) (* 1.0 (/ 1 (* (sqr (sqrt 2.0)) (sqrt (- (sqr im))))))) (sqrt 2.0)) (sqrt (/ 1 (sqrt (- (sqr im))))))) in im * [misc]taylor: Taking taylor expansion of 1/2 in im * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (/ (- (* 1.0 (/ 1 (sqrt (- (sqr im))))) (* 1.0 (/ 1 (* (sqr (sqrt 2.0)) (sqrt (- (sqr im))))))) (sqrt 2.0)) (sqrt (/ 1 (sqrt (- (sqr im)))))) in im * [misc]taylor: Taking taylor expansion of (/ (- (* 1.0 (/ 1 (sqrt (- (sqr im))))) (* 1.0 (/ 1 (* (sqr (sqrt 2.0)) (sqrt (- (sqr im))))))) (sqrt 2.0)) in im * [misc]taylor: Taking taylor expansion of (- (* 1.0 (/ 1 (sqrt (- (sqr im))))) (* 1.0 (/ 1 (* (sqr (sqrt 2.0)) (sqrt (- (sqr im))))))) in im * [misc]taylor: Taking taylor expansion of (* 1.0 (/ 1 (sqrt (- (sqr im))))) in im * [misc]taylor: Taking taylor expansion of 1.0 in im * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt (- (sqr im)))) in im * [misc]taylor: Taking taylor expansion of (sqrt (- (sqr im))) in im * [misc]taylor: Taking taylor expansion of (- (sqr im)) in im * [misc]taylor: Taking taylor expansion of (sqr im) in im * [misc]taylor: Taking 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 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify (/ 1 (sqrt -1)) into (/ 1 (sqrt -1)) * [misc]taylor: Taking taylor expansion of (* 1.0 (/ 1 (* (sqr (sqrt 2.0)) (sqrt (- (sqr im)))))) in im * [misc]taylor: Taking taylor expansion of 1.0 in im * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]taylor: Taking taylor expansion of (/ 1 (* (sqr (sqrt 2.0)) (sqrt (- (sqr im))))) in im * [misc]taylor: Taking taylor expansion of (* (sqr (sqrt 2.0)) (sqrt (- (sqr im)))) in im * [misc]taylor: Taking taylor expansion of (sqr (sqrt 2.0)) in im * [misc]taylor: Taking taylor expansion of (sqrt 2.0) in im * [misc]taylor: Taking taylor expansion of 2.0 in im * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (sqrt 2.0) into (sqrt 2.0) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (sqr im))) in im * [misc]taylor: Taking taylor expansion of (- (sqr im)) in im * [misc]taylor: Taking taylor expansion of (sqr im) in im * [misc]taylor: Taking 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 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify (* (sqrt 2.0) (sqrt 2.0)) into (sqr (sqrt 2.0)) * [misc]backup-simplify: Simplify (* (sqr (sqrt 2.0)) (sqrt -1)) into (* (sqr (sqrt 2.0)) (sqrt -1)) * [misc]backup-simplify: Simplify (/ 1 (* (sqr (sqrt 2.0)) (sqrt -1))) into (/ 1 (* (sqr (sqrt 2.0)) (sqrt -1))) * [misc]taylor: Taking taylor expansion of (sqrt 2.0) in im * [misc]taylor: Taking taylor expansion of 2.0 in im * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (sqrt 2.0) into (sqrt 2.0) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 * [misc]backup-simplify: Simplify (* 1.0 (/ 1 (sqrt -1))) into (/ 1.0 (sqrt -1)) * [misc]backup-simplify: Simplify (* 1.0 (/ 1 (* (sqr (sqrt 2.0)) (sqrt -1)))) into (/ 1.0 (* (sqr (sqrt 2.0)) (sqrt -1))) * [misc]backup-simplify: Simplify (- (/ 1.0 (* (sqr (sqrt 2.0)) (sqrt -1)))) into (- (* 1.0 (/ 1 (* (sqr (sqrt 2.0)) (sqrt -1))))) * [misc]backup-simplify: Simplify (+ (/ 1.0 (sqrt -1)) (- (* 1.0 (/ 1 (* (sqr (sqrt 2.0)) (sqrt -1)))))) into (- (* 1.0 (/ 1 (sqrt -1))) (* 1.0 (/ 1 (* (sqr (sqrt 2.0)) (sqrt -1))))) * [misc]backup-simplify: Simplify (/ (- (* 1.0 (/ 1 (sqrt -1))) (* 1.0 (/ 1 (* (sqr (sqrt 2.0)) (sqrt -1))))) (sqrt 2.0)) into (/ (- (* 1.0 (/ 1 (sqrt -1))) (* 1.0 (/ 1 (* (sqr (sqrt 2.0)) (sqrt -1))))) (sqrt 2.0)) * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (sqrt (- (sqr im))))) in im * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt (- (sqr im)))) in im * [misc]taylor: Taking taylor expansion of (sqrt (- (sqr im))) in im * [misc]taylor: Taking taylor expansion of (- (sqr im)) in im * [misc]taylor: Taking taylor expansion of (sqr im) in im * [misc]taylor: Taking 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 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify (/ 1 (sqrt -1)) into (/ 1 (sqrt -1)) * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (/ 1 (sqrt -1)) (* 2 (sqrt 0))) into (/ +nan.0 (sqrt -1)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt -1)) (/ 0 (sqrt -1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr (/ +nan.0 (sqrt -1))) (+)) (* 2 0)) into (/ +nan.0 (sqr (sqrt -1))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt -1)) (/ 0 (sqrt -1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1.0 0) (* 0 (/ 1 (sqrt -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt 2.0) 0) (* 0 (sqrt 2.0))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqr (sqrt 2.0)) 0) (* 0 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* (sqr (sqrt 2.0)) (sqrt -1))) (/ 0 (* (sqr (sqrt 2.0)) (sqrt -1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1.0 0) (* 0 (/ 1 (* (sqr (sqrt 2.0)) (sqrt -1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (- (* 1.0 (/ 1 (sqrt -1))) (* 1.0 (/ 1 (* (sqr (sqrt 2.0)) (sqrt -1))))) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt -1)) (/ 0 (sqrt -1))) (* 0 (/ 0 (sqrt -1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (/ 1 (sqrt -1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt 2.0))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqr (sqrt 2.0)) 0) (+ (* 0 0) (* 0 (sqrt -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* (sqr (sqrt 2.0)) (sqrt -1))) (/ 0 (* (sqr (sqrt 2.0)) (sqrt -1)))) (* 0 (/ 0 (* (sqr (sqrt 2.0)) (sqrt -1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (/ 1 (* (sqr (sqrt 2.0)) (sqrt -1)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt 2.0))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (- (* 1.0 (/ 1 (sqrt -1))) (* 1.0 (/ 1 (* (sqr (sqrt 2.0)) (sqrt -1))))) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (- (* 1.0 (/ 1 (sqrt -1))) (* 1.0 (/ 1 (* (sqr (sqrt 2.0)) (sqrt -1))))) (sqrt 2.0)) (/ +nan.0 (sqr (sqrt -1)))) (+ (* 0 (/ +nan.0 (sqrt -1))) (* 0 0))) into (- (+ (* +nan.0 (/ 1 (* (pow (sqrt 2.0) 3) (sqrt -1)))) (- (* +nan.0 (/ 1 (* (sqrt 2.0) (sqrt -1))))))) * [misc]backup-simplify: Simplify (+ (* (/ (- (* 1.0 (/ 1 (sqrt -1))) (* 1.0 (/ 1 (* (sqr (sqrt 2.0)) (sqrt -1))))) (sqrt 2.0)) (/ +nan.0 (sqrt -1))) (* 0 0)) into (- (+ (* +nan.0 (/ 1 (* (pow (sqrt 2.0) 3) (sqr (sqrt -1))))) (- (* +nan.0 (/ 1 (* (sqrt 2.0) (sqr (sqrt -1)))))))) * [misc]backup-simplify: Simplify (* (/ (- (* 1.0 (/ 1 (sqrt -1))) (* 1.0 (/ 1 (* (sqr (sqrt 2.0)) (sqrt -1))))) (sqrt 2.0)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (- (+ (* +nan.0 (/ 1 (* (pow (sqrt 2.0) 3) (sqrt -1)))) (- (* +nan.0 (/ 1 (* (sqrt 2.0) (sqrt -1)))))))) (+ (* 0 (- (+ (* +nan.0 (/ 1 (* (pow (sqrt 2.0) 3) (sqr (sqrt -1))))) (- (* +nan.0 (/ 1 (* (sqrt 2.0) (sqr (sqrt -1))))))))) (* 0 0))) into (- (+ (* +nan.0 (/ 1 (* (sqrt 2.0) (sqrt -1)))) (- (* +nan.0 (/ 1 (* (pow (sqrt 2.0) 3) (sqrt -1))))))) * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ 1 (* (sqrt 2.0) (sqrt -1)))) (- (* +nan.0 (/ 1 (* (pow (sqrt 2.0) 3) (sqrt -1))))))) into (- (+ (* +nan.0 (/ 1 (* (sqrt 2.0) (sqrt -1)))) (- (* +nan.0 (/ 1 (* (pow (sqrt 2.0) 3) (sqrt -1))))))) * [misc]backup-simplify: Simplify (+ (* (- (+ (* +nan.0 (/ 1 (* (sqrt 2.0) (sqrt -1)))) (- (* +nan.0 (/ 1 (* (pow (sqrt 2.0) 3) (sqrt -1))))))) (sqr (* 1 re))) (+ (* (- (* +nan.0 (* (sqrt 2.0) (sqrt -1)))) (* im 1)) (* (- (* +nan.0 (/ 1 (* (sqrt 2.0) (sqrt -1))))) (* 1 re)))) into (- (+ (* +nan.0 (/ re (* (sqrt 2.0) (sqrt -1)))) (- (+ (* +nan.0 (* (sqrt 2.0) (* im (sqrt -1)))) (- (+ (* +nan.0 (/ (sqr re) (* (pow (sqrt 2.0) 3) (sqrt -1)))) (- (* +nan.0 (/ (sqr re) (* (sqrt 2.0) (sqrt -1))))))))))) * [misc]approximate: Taking taylor expansion of (sqrt (* 2.0 (+ (sqrt (- (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)))) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (* 2.0 (+ (sqrt (- (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)))) in im * [misc]taylor: Taking taylor expansion of (* 2.0 (+ (sqrt (- (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re))) in im * [misc]taylor: Taking taylor expansion of 2.0 in im * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]taylor: Taking taylor expansion of (+ (sqrt (- (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) in im * [misc]taylor: Taking taylor expansion of (sqrt (- (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) in im * [misc]taylor: Taking taylor expansion of (- (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im * [misc]taylor: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im * [misc]taylor: Taking taylor expansion of (/ 1 re) in im * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]backup-simplify: Simplify (/ 1 re) into (/ 1 re) * [misc]taylor: Taking taylor expansion of (/ 1 re) in im * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]backup-simplify: Simplify (/ 1 re) into (/ 1 re) * [misc]taylor: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im * [misc]taylor: Taking taylor expansion of (/ 1 im) in im * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 im) in im * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [misc]taylor: Taking taylor expansion of (/ 1 re) in im * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]backup-simplify: Simplify (/ 1 re) into (/ 1 re) * [misc]backup-simplify: Simplify (+ (sqrt -1) 0) into (sqrt -1) * [misc]backup-simplify: Simplify (* 2.0 (sqrt -1)) into (* 2.0 (sqrt -1)) * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (* 2.0 (sqrt -1)) (* 2 (sqrt 0))) into (* +nan.0 (sqrt -1)) * [misc]taylor: Taking taylor expansion of (sqrt (* 2.0 (+ (sqrt (- (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)))) in re * [misc]taylor: Taking taylor expansion of (* 2.0 (+ (sqrt (- (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re))) in re * [misc]taylor: Taking taylor expansion of 2.0 in re * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]taylor: Taking taylor expansion of (+ (sqrt (- (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) in re * [misc]taylor: Taking taylor expansion of (sqrt (- (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) in re * [misc]taylor: Taking taylor expansion of (- (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re * [misc]taylor: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re * [misc]taylor: Taking taylor expansion of (/ 1 re) in re * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 re) in re * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re * [misc]taylor: Taking taylor expansion of (/ 1 im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (/ 1 im) into (/ 1 im) * [misc]taylor: Taking taylor expansion of (/ 1 im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (/ 1 im) into (/ 1 im) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (/ 1 re) in re * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (* 2.0 2) into 4.0 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 4.0 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (* 2.0 (+ (sqrt (- (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)))) in re * [misc]taylor: Taking taylor expansion of (* 2.0 (+ (sqrt (- (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re))) in re * [misc]taylor: Taking taylor expansion of 2.0 in re * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]taylor: Taking taylor expansion of (+ (sqrt (- (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) in re * [misc]taylor: Taking taylor expansion of (sqrt (- (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) in re * [misc]taylor: Taking taylor expansion of (- (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re * [misc]taylor: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re * [misc]taylor: Taking taylor expansion of (/ 1 re) in re * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 re) in re * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re * [misc]taylor: Taking taylor expansion of (/ 1 im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (/ 1 im) into (/ 1 im) * [misc]taylor: Taking taylor expansion of (/ 1 im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (/ 1 im) into (/ 1 im) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (/ 1 re) in re * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (* 2.0 2) into 4.0 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 4.0 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of +nan.0 in im * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2.0 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr +nan.0) (+)) (* 2 0)) into +nan.0 * [misc]taylor: Taking taylor expansion of +nan.0 in im * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (sqr im)) * [misc]backup-simplify: Simplify (- (/ 1 (sqr im))) into (- (/ 1 (sqr im))) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 (sqr im)))) into (- (/ 1 (sqr im))) * [misc]backup-simplify: Simplify (/ (- (- (/ 1 (sqr im))) (sqr 0) (+)) (* 2 1)) into (/ -1/2 (sqr im)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ -1/2 (sqr im)) 0) into (- (* 1/2 (/ 1 (sqr im)))) * [misc]backup-simplify: Simplify (+ (* 2.0 (- (* 1/2 (/ 1 (sqr im))))) (+ (* 0 0) (* 0 2))) into (- (* 1.0 (/ 1 (sqr im)))) * [misc]backup-simplify: Simplify (/ (- (- (* 1.0 (/ 1 (sqr im)))) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (+ (* 1.0 (/ 1 (sqr im))) (- +nan.0))) * [misc]taylor: Taking taylor expansion of (* +nan.0 (+ (* 1.0 (/ 1 (sqr im))) (- +nan.0))) in im * [misc]taylor: Taking taylor expansion of +nan.0 in im * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (+ (* 1.0 (/ 1 (sqr im))) (- +nan.0)) in im * [misc]taylor: Taking taylor expansion of (* 1.0 (/ 1 (sqr im))) in im * [misc]taylor: Taking taylor expansion of 1.0 in im * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]taylor: Taking taylor expansion of (/ 1 (sqr im)) in im * [misc]taylor: Taking taylor expansion of (sqr im) in im * [misc]taylor: Taking 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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- +nan.0) in im * [misc]taylor: Taking taylor expansion of +nan.0 in im * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1.0 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* 1.0 1) into 1.0 * [misc]backup-simplify: Simplify (+ 1.0 0) into 1.0 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 1.0)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (sqr im)))))) (* 2 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2.0 0) (+ (* 0 (- (* 1/2 (/ 1 (sqr im))))) (+ (* 0 0) (* 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr +nan.0) (+ (* 2 (* +nan.0 (* +nan.0 (+ (* 1.0 (/ 1 (sqr im))) (- +nan.0))))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (sqr im))) (- +nan.0))) * [misc]taylor: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 (sqr im))) (- +nan.0))) in im * [misc]taylor: Taking taylor expansion of +nan.0 in im * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (/ 1 (sqr im))) (- +nan.0)) in im * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (sqr im))) in im * [misc]taylor: Taking taylor expansion of +nan.0 in im * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (/ 1 (sqr im)) in im * [misc]taylor: Taking taylor expansion of (sqr im) in im * [misc]taylor: Taking 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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- +nan.0) in im * [misc]taylor: Taking taylor expansion of +nan.0 in im * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* +nan.0 1) into +nan.0 * [misc]backup-simplify: Simplify (+ +nan.0 0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (- +nan.0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ 0 (- +nan.0)) into (- +nan.0) * [misc]backup-simplify: Simplify (+ (* +nan.0 (- +nan.0)) (+ (* 0 0) (* 0 1.0))) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ (* (- +nan.0) (sqr (* 1 (/ 1 re)))) (+ (* +nan.0 (* 1 (/ 1 re))) +nan.0)) into (- (+ (* +nan.0 (/ 1 re)) (- (+ +nan.0 (- (* +nan.0 (/ 1 (sqr re)))))))) * [misc]approximate: Taking taylor expansion of (sqrt (* 2.0 (+ (sqrt (- (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))))) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (* 2.0 (+ (sqrt (- (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))))) in im * [misc]taylor: Taking taylor expansion of (* 2.0 (+ (sqrt (- (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re)))) in im * [misc]taylor: Taking taylor expansion of 2.0 in im * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]taylor: Taking taylor expansion of (+ (sqrt (- (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) in im * [misc]taylor: Taking taylor expansion of (sqrt (- (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) in im * [misc]taylor: Taking taylor expansion of (- (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in im * [misc]taylor: Taking taylor expansion of (* (/ 1 (- re)) (/ 1 (- re))) in im * [misc]taylor: Taking taylor expansion of (/ 1 (- re)) in im * [misc]taylor: Taking taylor expansion of (- re) in im * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]backup-simplify: Simplify (- re) into (- re) * [misc]backup-simplify: Simplify (- re) into (- re) * [misc]backup-simplify: Simplify (/ 1 (- re)) into (/ -1 re) * [misc]taylor: Taking taylor expansion of (/ 1 (- re)) in im * [misc]taylor: Taking taylor expansion of (- re) in im * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]backup-simplify: Simplify (- re) into (- re) * [misc]backup-simplify: Simplify (- re) into (- re) * [misc]backup-simplify: Simplify (/ 1 (- re)) into (/ -1 re) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in im * [misc]taylor: Taking taylor expansion of (/ 1 (- im)) in im * [misc]taylor: Taking taylor expansion of (- im) in im * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- im)) in im * [misc]taylor: Taking taylor expansion of (- im) in im * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [misc]taylor: Taking taylor expansion of (/ 1 (- re)) in im * [misc]taylor: Taking taylor expansion of (- re) in im * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]backup-simplify: Simplify (- re) into (- re) * [misc]backup-simplify: Simplify (- re) into (- re) * [misc]backup-simplify: Simplify (/ 1 (- re)) into (/ -1 re) * [misc]backup-simplify: Simplify (+ (sqrt -1) 0) into (sqrt -1) * [misc]backup-simplify: Simplify (* 2.0 (sqrt -1)) into (* 2.0 (sqrt -1)) * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (* 2.0 (sqrt -1)) (* 2 (sqrt 0))) into (* +nan.0 (sqrt -1)) * [misc]taylor: Taking taylor expansion of (sqrt (* 2.0 (+ (sqrt (- (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))))) in re * [misc]taylor: Taking taylor expansion of (* 2.0 (+ (sqrt (- (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re)))) in re * [misc]taylor: Taking taylor expansion of 2.0 in re * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]taylor: Taking taylor expansion of (+ (sqrt (- (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) in re * [misc]taylor: Taking taylor expansion of (sqrt (- (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) in re * [misc]taylor: Taking taylor expansion of (- (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re * [misc]taylor: Taking taylor expansion of (* (/ 1 (- re)) (/ 1 (- re))) in re * [misc]taylor: Taking taylor expansion of (/ 1 (- re)) in re * [misc]taylor: Taking taylor expansion of (- re) in re * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- re)) in re * [misc]taylor: Taking taylor expansion of (- re) in re * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in re * [misc]taylor: Taking taylor expansion of (/ 1 (- im)) in re * [misc]taylor: Taking taylor expansion of (- im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (/ 1 (- im)) into (/ -1 im) * [misc]taylor: Taking taylor expansion of (/ 1 (- im)) in re * [misc]taylor: Taking taylor expansion of (- im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (/ 1 (- im)) into (/ -1 im) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (/ 1 (- re)) in re * [misc]taylor: Taking taylor expansion of (- re) in re * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (* 2.0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2.0 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (sqr im)) * [misc]backup-simplify: Simplify (- (/ 1 (sqr im))) into (- (/ 1 (sqr im))) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 (sqr im)))) into (- (/ 1 (sqr im))) * [misc]backup-simplify: Simplify (/ (- (- (/ 1 (sqr im))) (sqr 0) (+)) (* 2 1)) into (/ -1/2 (sqr 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 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ -1/2 (sqr im)) 0) into (- (* 1/2 (/ 1 (sqr im)))) * [misc]backup-simplify: Simplify (+ (* 2.0 (- (* 1/2 (/ 1 (sqr im))))) (+ (* 0 0) (* 0 0))) into (- (* 1.0 (/ 1 (sqr im)))) * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (- (* 1.0 (/ 1 (sqr im)))) (* 2 (sqrt 0))) into (/ +nan.0 (sqr im)) * [misc]taylor: Taking taylor expansion of (sqrt (* 2.0 (+ (sqrt (- (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))))) in re * [misc]taylor: Taking taylor expansion of (* 2.0 (+ (sqrt (- (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re)))) in re * [misc]taylor: Taking taylor expansion of 2.0 in re * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]taylor: Taking taylor expansion of (+ (sqrt (- (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) in re * [misc]taylor: Taking taylor expansion of (sqrt (- (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) in re * [misc]taylor: Taking taylor expansion of (- (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re * [misc]taylor: Taking taylor expansion of (* (/ 1 (- re)) (/ 1 (- re))) in re * [misc]taylor: Taking taylor expansion of (/ 1 (- re)) in re * [misc]taylor: Taking taylor expansion of (- re) in re * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- re)) in re * [misc]taylor: Taking taylor expansion of (- re) in re * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in re * [misc]taylor: Taking taylor expansion of (/ 1 (- im)) in re * [misc]taylor: Taking taylor expansion of (- im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (/ 1 (- im)) into (/ -1 im) * [misc]taylor: Taking taylor expansion of (/ 1 (- im)) in re * [misc]taylor: Taking taylor expansion of (- im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (/ 1 (- im)) into (/ -1 im) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (/ 1 (- re)) in re * [misc]taylor: Taking taylor expansion of (- re) in re * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (* 2.0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2.0 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (sqr im)) * [misc]backup-simplify: Simplify (- (/ 1 (sqr im))) into (- (/ 1 (sqr im))) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 (sqr im)))) into (- (/ 1 (sqr im))) * [misc]backup-simplify: Simplify (/ (- (- (/ 1 (sqr im))) (sqr 0) (+)) (* 2 1)) into (/ -1/2 (sqr 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 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ -1/2 (sqr im)) 0) into (- (* 1/2 (/ 1 (sqr im)))) * [misc]backup-simplify: Simplify (+ (* 2.0 (- (* 1/2 (/ 1 (sqr im))))) (+ (* 0 0) (* 0 0))) into (- (* 1.0 (/ 1 (sqr im)))) * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (- (* 1.0 (/ 1 (sqr im)))) (* 2 (sqrt 0))) into (/ +nan.0 (sqr im)) * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of (/ +nan.0 (sqr im)) in im * [misc]taylor: Taking taylor expansion of +nan.0 in im * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (sqr im) in im * [misc]taylor: Taking 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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ +nan.0 1) into +nan.0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (sqr im)))))) (* 2 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2.0 0) (+ (* 0 (- (* 1/2 (/ 1 (sqr im))))) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr (/ +nan.0 (sqr im))) (+)) (* 2 0)) into (/ +nan.0 (pow im 4)) * [misc]taylor: Taking taylor expansion of (/ +nan.0 (pow im 4)) in im * [misc]taylor: Taking taylor expansion of +nan.0 in im * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (pow im 4) in im * [misc]backup-simplify: Simplify (/ +nan.0 1) into +nan.0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 im) (/ 0 (- im))) (* 0 (/ 0 (- im))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 im) (/ 0 (- im))) (* 0 (/ 0 (- im))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 im) 0) (+ (* 0 0) (* 0 (/ -1 im)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr (/ -1/2 (sqr im))) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4)))) * [misc]backup-simplify: Simplify (+ (* 2.0 (- (* 1/8 (/ 1 (pow im 4))))) (+ (* 0 0) (+ (* 0 (- (* 1/2 (/ 1 (sqr im))))) (+ (* 0 0) (* 0 0))))) into (- (* 0.25 (/ 1 (pow im 4)))) * [misc]backup-simplify: Simplify (/ (- (- (* 0.25 (/ 1 (pow im 4)))) (+ (* 2 (* (/ +nan.0 (sqr im)) (/ +nan.0 (pow im 4)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 6))) (* 0.25 (/ 1 (pow im 4))))) * [misc]taylor: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 6))) (* 0.25 (/ 1 (pow im 4))))) in im * [misc]taylor: Taking taylor expansion of +nan.0 in im * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 6))) (* 0.25 (/ 1 (pow im 4)))) in im * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 6))) in im * [misc]taylor: Taking taylor expansion of +nan.0 in im * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (/ 1 (pow im 6)) in im * [misc]taylor: Taking taylor expansion of (pow im 6) in im * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 0.25 (/ 1 (pow im 4))) in im * [misc]taylor: Taking taylor expansion of 0.25 in im * [misc]backup-simplify: Simplify 0.25 into 0.25 * [misc]taylor: Taking taylor expansion of (/ 1 (pow im 4)) in im * [misc]taylor: Taking taylor expansion of (pow im 4) in im * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0.25 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* 0.25 1) into 0.25 * [misc]backup-simplify: Simplify (+ 0 0.25) into 0.25 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* +nan.0 1) into +nan.0 * [misc]backup-simplify: Simplify (+ +nan.0 0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.25) (+ (* 0 0) (* 0 (- +nan.0))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 1 2) * [misc]approximate: Taking taylor expansion of (+ (sqrt (- (* re re) (* im im))) re) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (+ (sqrt (- (* re re) (* im im))) re) in im * [misc]taylor: Taking taylor expansion of (sqrt (- (* re re) (* im im))) in im * [misc]taylor: Taking taylor expansion of (- (* re re) (* im im)) in im * [misc]taylor: Taking taylor expansion of (* re re) in im * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]taylor: Taking taylor expansion of (* im im) in im * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* re re) into (sqr re) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (sqr re) 0) into (sqr re) * [misc]backup-simplify: Simplify (sqrt (sqr re)) 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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqr re)))) into 0 * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]taylor: Taking taylor expansion of (+ (sqrt (- (* re re) (* im im))) re) in re * [misc]taylor: Taking taylor expansion of (sqrt (- (* re re) (* im im))) in re * [misc]taylor: Taking taylor expansion of (- (* re re) (* im im)) in re * [misc]taylor: Taking taylor expansion of (* re re) in re * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* im im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* im im) into (sqr im) * [misc]backup-simplify: Simplify (- (sqr im)) into (- (sqr im)) * [misc]backup-simplify: Simplify (+ 0 (- (sqr im))) into (- (sqr im)) * [misc]backup-simplify: Simplify (sqrt (- (sqr im))) into (sqrt (- (sqr 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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (- (sqr im))))) into 0 * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (sqrt (- (* re re) (* im im))) re) in re * [misc]taylor: Taking taylor expansion of (sqrt (- (* re re) (* im im))) in re * [misc]taylor: Taking taylor expansion of (- (* re re) (* im im)) in re * [misc]taylor: Taking taylor expansion of (* re re) in re * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* im im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* im im) into (sqr im) * [misc]backup-simplify: Simplify (- (sqr im)) into (- (sqr im)) * [misc]backup-simplify: Simplify (+ 0 (- (sqr im))) into (- (sqr im)) * [misc]backup-simplify: Simplify (sqrt (- (sqr im))) into (sqrt (- (sqr 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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (- (sqr im))))) into 0 * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (sqrt (- (sqr im))) 0) into (sqrt (- (sqr im))) * [misc]taylor: Taking taylor expansion of (sqrt (- (sqr im))) in im * [misc]taylor: Taking taylor expansion of (- (sqr im)) in im * [misc]taylor: Taking taylor expansion of (sqr im) in im * [misc]taylor: Taking 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 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in im * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (sqr 0) (+)) (* 2 (sqrt (- (sqr im))))) into (/ 1/2 (sqrt (- (sqr im)))) * [misc]backup-simplify: Simplify (+ (/ 1/2 (sqrt (- (sqr im)))) 0) into (* 1/2 (/ 1 (sqrt (- (sqr im))))) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (sqrt (- (sqr im))))) in im * [misc]taylor: Taking taylor expansion of 1/2 in im * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt (- (sqr im)))) in im * [misc]taylor: Taking taylor expansion of (sqrt (- (sqr im))) in im * [misc]taylor: Taking taylor expansion of (- (sqr im)) in im * [misc]taylor: Taking taylor expansion of (sqr im) in im * [misc]taylor: Taking 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 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify (/ 1 (sqrt -1)) into (/ 1 (sqrt -1)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt -1)) (/ 0 (sqrt -1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 (sqrt -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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt (- (sqr im)))))))) (* 2 (sqrt (- (sqr im))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt -1)) (/ 0 (sqrt -1))) (* 0 (/ 0 (sqrt -1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (sqrt -1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt -1) (* im 1)) (* 1 (* 1 re))) into (+ (* im (sqrt -1)) re) * [misc]approximate: Taking taylor expansion of (+ (sqrt (- (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (+ (sqrt (- (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) in im * [misc]taylor: Taking taylor expansion of (sqrt (- (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) in im * [misc]taylor: Taking taylor expansion of (- (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im * [misc]taylor: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im * [misc]taylor: Taking taylor expansion of (/ 1 re) in im * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]backup-simplify: Simplify (/ 1 re) into (/ 1 re) * [misc]taylor: Taking taylor expansion of (/ 1 re) in im * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]backup-simplify: Simplify (/ 1 re) into (/ 1 re) * [misc]taylor: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im * [misc]taylor: Taking taylor expansion of (/ 1 im) in im * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 im) in im * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [misc]taylor: Taking taylor expansion of (/ 1 re) in im * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]backup-simplify: Simplify (/ 1 re) into (/ 1 re) * [misc]taylor: Taking taylor expansion of (+ (sqrt (- (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) in re * [misc]taylor: Taking taylor expansion of (sqrt (- (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) in re * [misc]taylor: Taking taylor expansion of (- (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re * [misc]taylor: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re * [misc]taylor: Taking taylor expansion of (/ 1 re) in re * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 re) in re * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re * [misc]taylor: Taking taylor expansion of (/ 1 im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (/ 1 im) into (/ 1 im) * [misc]taylor: Taking taylor expansion of (/ 1 im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (/ 1 im) into (/ 1 im) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (/ 1 re) in re * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (sqrt (- (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) in re * [misc]taylor: Taking taylor expansion of (sqrt (- (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) in re * [misc]taylor: Taking taylor expansion of (- (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re * [misc]taylor: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re * [misc]taylor: Taking taylor expansion of (/ 1 re) in re * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 re) in re * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re * [misc]taylor: Taking taylor expansion of (/ 1 im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (/ 1 im) into (/ 1 im) * [misc]taylor: Taking taylor expansion of (/ 1 im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (/ 1 im) into (/ 1 im) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (/ 1 re) in re * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]taylor: Taking taylor expansion of 2 in im * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (sqr im)) * [misc]backup-simplify: Simplify (- (/ 1 (sqr im))) into (- (/ 1 (sqr im))) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 (sqr im)))) into (- (/ 1 (sqr im))) * [misc]backup-simplify: Simplify (/ (- (- (/ 1 (sqr im))) (sqr 0) (+)) (* 2 1)) into (/ -1/2 (sqr im)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ -1/2 (sqr im)) 0) into (- (* 1/2 (/ 1 (sqr im)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 (sqr im)))) in im * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (sqr im))) in im * [misc]taylor: Taking taylor expansion of 1/2 in im * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (sqr im)) in im * [misc]taylor: Taking taylor expansion of (sqr im) in im * [misc]taylor: Taking 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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) 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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (sqr im)))))) (* 2 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re) * [misc]approximate: Taking taylor expansion of (+ (sqrt (- (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (+ (sqrt (- (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) in im * [misc]taylor: Taking taylor expansion of (sqrt (- (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) in im * [misc]taylor: Taking taylor expansion of (- (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in im * [misc]taylor: Taking taylor expansion of (* (/ 1 (- re)) (/ 1 (- re))) in im * [misc]taylor: Taking taylor expansion of (/ 1 (- re)) in im * [misc]taylor: Taking taylor expansion of (- re) in im * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]backup-simplify: Simplify (- re) into (- re) * [misc]backup-simplify: Simplify (- re) into (- re) * [misc]backup-simplify: Simplify (/ 1 (- re)) into (/ -1 re) * [misc]taylor: Taking taylor expansion of (/ 1 (- re)) in im * [misc]taylor: Taking taylor expansion of (- re) in im * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]backup-simplify: Simplify (- re) into (- re) * [misc]backup-simplify: Simplify (- re) into (- re) * [misc]backup-simplify: Simplify (/ 1 (- re)) into (/ -1 re) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in im * [misc]taylor: Taking taylor expansion of (/ 1 (- im)) in im * [misc]taylor: Taking taylor expansion of (- im) in im * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- im)) in im * [misc]taylor: Taking taylor expansion of (- im) in im * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [misc]taylor: Taking taylor expansion of (/ 1 (- re)) in im * [misc]taylor: Taking taylor expansion of (- re) in im * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]backup-simplify: Simplify (- re) into (- re) * [misc]backup-simplify: Simplify (- re) into (- re) * [misc]backup-simplify: Simplify (/ 1 (- re)) into (/ -1 re) * [misc]taylor: Taking taylor expansion of (+ (sqrt (- (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) in re * [misc]taylor: Taking taylor expansion of (sqrt (- (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) in re * [misc]taylor: Taking taylor expansion of (- (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re * [misc]taylor: Taking taylor expansion of (* (/ 1 (- re)) (/ 1 (- re))) in re * [misc]taylor: Taking taylor expansion of (/ 1 (- re)) in re * [misc]taylor: Taking taylor expansion of (- re) in re * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- re)) in re * [misc]taylor: Taking taylor expansion of (- re) in re * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in re * [misc]taylor: Taking taylor expansion of (/ 1 (- im)) in re * [misc]taylor: Taking taylor expansion of (- im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (/ 1 (- im)) into (/ -1 im) * [misc]taylor: Taking taylor expansion of (/ 1 (- im)) in re * [misc]taylor: Taking taylor expansion of (- im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (/ 1 (- im)) into (/ -1 im) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (/ 1 (- re)) in re * [misc]taylor: Taking taylor expansion of (- re) in re * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (sqrt (- (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) in re * [misc]taylor: Taking taylor expansion of (sqrt (- (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) in re * [misc]taylor: Taking taylor expansion of (- (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re * [misc]taylor: Taking taylor expansion of (* (/ 1 (- re)) (/ 1 (- re))) in re * [misc]taylor: Taking taylor expansion of (/ 1 (- re)) in re * [misc]taylor: Taking taylor expansion of (- re) in re * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- re)) in re * [misc]taylor: Taking taylor expansion of (- re) in re * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in re * [misc]taylor: Taking taylor expansion of (/ 1 (- im)) in re * [misc]taylor: Taking taylor expansion of (- im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (/ 1 (- im)) into (/ -1 im) * [misc]taylor: Taking taylor expansion of (/ 1 (- im)) in re * [misc]taylor: Taking taylor expansion of (- im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (/ 1 (- im)) into (/ -1 im) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (/ 1 (- re)) in re * [misc]taylor: Taking taylor expansion of (- re) in re * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (sqr im)) * [misc]backup-simplify: Simplify (- (/ 1 (sqr im))) into (- (/ 1 (sqr im))) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 (sqr im)))) into (- (/ 1 (sqr im))) * [misc]backup-simplify: Simplify (/ (- (- (/ 1 (sqr im))) (sqr 0) (+)) (* 2 1)) into (/ -1/2 (sqr 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 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ -1/2 (sqr im)) 0) into (- (* 1/2 (/ 1 (sqr im)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 (sqr im)))) in im * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (sqr im))) in im * [misc]taylor: Taking taylor expansion of 1/2 in im * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (sqr im)) in im * [misc]taylor: Taking taylor expansion of (sqr im) in im * [misc]taylor: Taking 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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) 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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (sqr im)))))) (* 2 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 1 2 1) * [misc]approximate: Taking taylor expansion of (sqrt (- (* re re) (* im im))) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (* re re) (* im im))) in im * [misc]taylor: Taking taylor expansion of (- (* re re) (* im im)) in im * [misc]taylor: Taking taylor expansion of (* re re) in im * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]taylor: Taking taylor expansion of (* im im) in im * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* re re) into (sqr re) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (sqr re) 0) into (sqr re) * [misc]backup-simplify: Simplify (sqrt (sqr re)) 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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqr re)))) 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 (sqr im) * [misc]backup-simplify: Simplify (- (sqr im)) into (- (sqr im)) * [misc]backup-simplify: Simplify (+ 0 (- (sqr im))) into (- (sqr im)) * [misc]backup-simplify: Simplify (sqrt (- (sqr im))) into (sqrt (- (sqr 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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (- (sqr im))))) 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 (sqr im) * [misc]backup-simplify: Simplify (- (sqr im)) into (- (sqr im)) * [misc]backup-simplify: Simplify (+ 0 (- (sqr im))) into (- (sqr im)) * [misc]backup-simplify: Simplify (sqrt (- (sqr im))) into (sqrt (- (sqr 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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (- (sqr im))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (sqr im))) in im * [misc]taylor: Taking taylor expansion of (- (sqr im)) in im * [misc]taylor: Taking taylor expansion of (sqr im) in im * [misc]taylor: Taking 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 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -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 (sqrt -1) into (sqrt -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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (sqr 0) (+)) (* 2 (sqrt (- (sqr im))))) into (/ 1/2 (sqrt (- (sqr im)))) * [misc]taylor: Taking taylor expansion of (/ 1/2 (sqrt (- (sqr im)))) in im * [misc]taylor: Taking taylor expansion of 1/2 in im * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (sqrt (- (sqr im))) in im * [misc]taylor: Taking taylor expansion of (- (sqr im)) in im * [misc]taylor: Taking taylor expansion of (sqr im) in im * [misc]taylor: Taking 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 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify (/ 1/2 (sqrt -1)) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (- (/ 0 (sqrt -1)) (+ (* (/ 1/2 (sqrt -1)) (/ 0 (sqrt -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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt (- (sqr im)))))))) (* 2 (sqrt (- (sqr im))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt -1)) (+ (* (/ 1/2 (sqrt -1)) (/ 0 (sqrt -1))) (* 0 (/ 0 (sqrt -1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (sqrt -1) (* im 1)) into (* im (sqrt -1)) * [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 (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -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) 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 (sqr im)) * [misc]backup-simplify: Simplify (- (/ 1 (sqr im))) into (- (/ 1 (sqr im))) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 (sqr im)))) into (- (/ 1 (sqr im))) * [misc]backup-simplify: Simplify (/ (- (- (/ 1 (sqr im))) (sqr 0) (+)) (* 2 1)) into (/ -1/2 (sqr im)) * [misc]taylor: Taking taylor expansion of (/ -1/2 (sqr 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 (sqr im) in im * [misc]taylor: Taking 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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ -1/2 1) into -1/2 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) 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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (sqr im)))))) (* 2 1)) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re * [misc]approximate: Taking taylor expansion of (sqrt (- (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) in im * [misc]taylor: Taking taylor expansion of (- (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in im * [misc]taylor: Taking taylor expansion of (* (/ 1 (- re)) (/ 1 (- re))) in im * [misc]taylor: Taking taylor expansion of (/ 1 (- re)) in im * [misc]taylor: Taking taylor expansion of (- re) in im * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]backup-simplify: Simplify (- re) into (- re) * [misc]backup-simplify: Simplify (- re) into (- re) * [misc]backup-simplify: Simplify (/ 1 (- re)) into (/ -1 re) * [misc]taylor: Taking taylor expansion of (/ 1 (- re)) in im * [misc]taylor: Taking taylor expansion of (- re) in im * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]backup-simplify: Simplify (- re) into (- re) * [misc]backup-simplify: Simplify (- re) into (- re) * [misc]backup-simplify: Simplify (/ 1 (- re)) into (/ -1 re) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in im * [misc]taylor: Taking taylor expansion of (/ 1 (- im)) in im * [misc]taylor: Taking taylor expansion of (- im) in im * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- im)) in im * [misc]taylor: Taking taylor expansion of (- im) in im * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -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) 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 (sqr im)) * [misc]backup-simplify: Simplify (- (/ 1 (sqr im))) into (- (/ 1 (sqr im))) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 (sqr im)))) into (- (/ 1 (sqr im))) * [misc]backup-simplify: Simplify (/ (- (- (/ 1 (sqr im))) (sqr 0) (+)) (* 2 1)) into (/ -1/2 (sqr im)) * [misc]taylor: Taking taylor expansion of (/ -1/2 (sqr 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 (sqr im) in im * [misc]taylor: Taking 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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ -1/2 1) into -1/2 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) 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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (sqr im)))))) (* 2 1)) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 1) * [misc]approximate: Taking taylor expansion of (* 2.0 (+ (sqrt (- (* re re) (* im im))) re)) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (* 2.0 (+ (sqrt (- (* re re) (* im im))) re)) in im * [misc]taylor: Taking taylor expansion of 2.0 in im * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]taylor: Taking taylor expansion of (+ (sqrt (- (* re re) (* im im))) re) in im * [misc]taylor: Taking taylor expansion of (sqrt (- (* re re) (* im im))) in im * [misc]taylor: Taking taylor expansion of (- (* re re) (* im im)) in im * [misc]taylor: Taking taylor expansion of (* re re) in im * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]taylor: Taking taylor expansion of (* im im) in im * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* re re) into (sqr re) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (sqr re) 0) into (sqr re) * [misc]backup-simplify: Simplify (sqrt (sqr re)) 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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqr re)))) into 0 * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]taylor: Taking taylor expansion of (* 2.0 (+ (sqrt (- (* re re) (* im im))) re)) in re * [misc]taylor: Taking taylor expansion of 2.0 in re * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]taylor: Taking taylor expansion of (+ (sqrt (- (* re re) (* im im))) re) in re * [misc]taylor: Taking taylor expansion of (sqrt (- (* re re) (* im im))) in re * [misc]taylor: Taking taylor expansion of (- (* re re) (* im im)) in re * [misc]taylor: Taking taylor expansion of (* re re) in re * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* im im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* im im) into (sqr im) * [misc]backup-simplify: Simplify (- (sqr im)) into (- (sqr im)) * [misc]backup-simplify: Simplify (+ 0 (- (sqr im))) into (- (sqr im)) * [misc]backup-simplify: Simplify (sqrt (- (sqr im))) into (sqrt (- (sqr 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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (- (sqr im))))) into 0 * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2.0 (+ (sqrt (- (* re re) (* im im))) re)) in re * [misc]taylor: Taking taylor expansion of 2.0 in re * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]taylor: Taking taylor expansion of (+ (sqrt (- (* re re) (* im im))) re) in re * [misc]taylor: Taking taylor expansion of (sqrt (- (* re re) (* im im))) in re * [misc]taylor: Taking taylor expansion of (- (* re re) (* im im)) in re * [misc]taylor: Taking taylor expansion of (* re re) in re * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* im im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* im im) into (sqr im) * [misc]backup-simplify: Simplify (- (sqr im)) into (- (sqr im)) * [misc]backup-simplify: Simplify (+ 0 (- (sqr im))) into (- (sqr im)) * [misc]backup-simplify: Simplify (sqrt (- (sqr im))) into (sqrt (- (sqr 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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (- (sqr im))))) into 0 * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (sqrt (- (sqr im))) 0) into (sqrt (- (sqr im))) * [misc]backup-simplify: Simplify (* 2.0 (sqrt (- (sqr im)))) into (* 2.0 (sqrt (- (sqr im)))) * [misc]taylor: Taking taylor expansion of (* 2.0 (sqrt (- (sqr im)))) in im * [misc]taylor: Taking taylor expansion of 2.0 in im * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]taylor: Taking taylor expansion of (sqrt (- (sqr im))) in im * [misc]taylor: Taking taylor expansion of (- (sqr im)) in im * [misc]taylor: Taking taylor expansion of (sqr im) in im * [misc]taylor: Taking 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 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* 2.0 1) (* 0 (sqrt (- (sqr im))))) into 2.0 * [misc]taylor: Taking taylor expansion of 2.0 in im * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (* 2.0 (sqrt -1)) into (* 2.0 (sqrt -1)) * [misc]backup-simplify: Simplify (* 2.0 (sqrt -1)) into (* 2.0 (sqrt -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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (sqr 0) (+)) (* 2 (sqrt (- (sqr im))))) into (/ 1/2 (sqrt (- (sqr im)))) * [misc]backup-simplify: Simplify (+ (/ 1/2 (sqrt (- (sqr im)))) 0) into (* 1/2 (/ 1 (sqrt (- (sqr im))))) * [misc]backup-simplify: Simplify (+ (* 2.0 (* 1/2 (/ 1 (sqrt (- (sqr im)))))) (+ (* 0 1) (* 0 (sqrt (- (sqr im)))))) into (* 1.0 (/ 1 (sqrt (- (sqr im))))) * [misc]taylor: Taking taylor expansion of (* 1.0 (/ 1 (sqrt (- (sqr im))))) in im * [misc]taylor: Taking taylor expansion of 1.0 in im * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt (- (sqr im)))) in im * [misc]taylor: Taking taylor expansion of (sqrt (- (sqr im))) in im * [misc]taylor: Taking taylor expansion of (- (sqr im)) in im * [misc]taylor: Taking taylor expansion of (sqr im) in im * [misc]taylor: Taking 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 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify (/ 1 (sqrt -1)) into (/ 1 (sqrt -1)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt -1)) (/ 0 (sqrt -1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1.0 0) (* 0 (/ 1 (sqrt -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 2.0 0) (* 0 (sqrt -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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt (- (sqr im)))))))) (* 2 (sqrt (- (sqr im))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2.0 0) (+ (* 0 (* 1/2 (/ 1 (sqrt (- (sqr im)))))) (+ (* 0 1) (* 0 (sqrt (- (sqr im))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt -1)) (/ 0 (sqrt -1))) (* 0 (/ 0 (sqrt -1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (/ 1 (sqrt -1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (* 2.0 (sqrt -1)) (* im 1)) (* 2.0 (* 1 re))) into (+ (* 2.0 (* im (sqrt -1))) (* 2.0 re)) * [misc]approximate: Taking taylor expansion of (* 2.0 (+ (sqrt (- (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re))) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (* 2.0 (+ (sqrt (- (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re))) in im * [misc]taylor: Taking taylor expansion of 2.0 in im * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]taylor: Taking taylor expansion of (+ (sqrt (- (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) in im * [misc]taylor: Taking taylor expansion of (sqrt (- (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) in im * [misc]taylor: Taking taylor expansion of (- (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im * [misc]taylor: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im * [misc]taylor: Taking taylor expansion of (/ 1 re) in im * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]backup-simplify: Simplify (/ 1 re) into (/ 1 re) * [misc]taylor: Taking taylor expansion of (/ 1 re) in im * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]backup-simplify: Simplify (/ 1 re) into (/ 1 re) * [misc]taylor: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im * [misc]taylor: Taking taylor expansion of (/ 1 im) in im * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 im) in im * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [misc]taylor: Taking taylor expansion of (/ 1 re) in im * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]backup-simplify: Simplify (/ 1 re) into (/ 1 re) * [misc]taylor: Taking taylor expansion of (* 2.0 (+ (sqrt (- (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re))) in re * [misc]taylor: Taking taylor expansion of 2.0 in re * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]taylor: Taking taylor expansion of (+ (sqrt (- (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) in re * [misc]taylor: Taking taylor expansion of (sqrt (- (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) in re * [misc]taylor: Taking taylor expansion of (- (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re * [misc]taylor: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re * [misc]taylor: Taking taylor expansion of (/ 1 re) in re * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 re) in re * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re * [misc]taylor: Taking taylor expansion of (/ 1 im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (/ 1 im) into (/ 1 im) * [misc]taylor: Taking taylor expansion of (/ 1 im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (/ 1 im) into (/ 1 im) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (/ 1 re) in re * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 2.0 (+ (sqrt (- (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re))) in re * [misc]taylor: Taking taylor expansion of 2.0 in re * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]taylor: Taking taylor expansion of (+ (sqrt (- (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) in re * [misc]taylor: Taking taylor expansion of (sqrt (- (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) in re * [misc]taylor: Taking taylor expansion of (- (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re * [misc]taylor: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re * [misc]taylor: Taking taylor expansion of (/ 1 re) in re * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 re) in re * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re * [misc]taylor: Taking taylor expansion of (/ 1 im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (/ 1 im) into (/ 1 im) * [misc]taylor: Taking taylor expansion of (/ 1 im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (/ 1 im) into (/ 1 im) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (/ 1 re) in re * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (* 2.0 2) into 4.0 * [misc]taylor: Taking taylor expansion of 4.0 in im * [misc]backup-simplify: Simplify 4.0 into 4.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2.0 0) (* 0 2)) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 4.0 into 4.0 * [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 (sqr im)) * [misc]backup-simplify: Simplify (- (/ 1 (sqr im))) into (- (/ 1 (sqr im))) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 (sqr im)))) into (- (/ 1 (sqr im))) * [misc]backup-simplify: Simplify (/ (- (- (/ 1 (sqr im))) (sqr 0) (+)) (* 2 1)) into (/ -1/2 (sqr im)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ -1/2 (sqr im)) 0) into (- (* 1/2 (/ 1 (sqr im)))) * [misc]backup-simplify: Simplify (+ (* 2.0 (- (* 1/2 (/ 1 (sqr im))))) (+ (* 0 0) (* 0 2))) into (- (* 1.0 (/ 1 (sqr im)))) * [misc]taylor: Taking taylor expansion of (- (* 1.0 (/ 1 (sqr im)))) in im * [misc]taylor: Taking taylor expansion of (* 1.0 (/ 1 (sqr im))) in im * [misc]taylor: Taking taylor expansion of 1.0 in im * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]taylor: Taking taylor expansion of (/ 1 (sqr im)) in im * [misc]taylor: Taking taylor expansion of (sqr im) in im * [misc]taylor: Taking 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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1.0 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) 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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (sqr im)))))) (* 2 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2.0 0) (+ (* 0 (- (* 1/2 (/ 1 (sqr im))))) (+ (* 0 0) (* 0 2)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) 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 (* 4.0 (* 1 (/ 1 (/ 1 re)))) into (* 4.0 re) * [misc]approximate: Taking taylor expansion of (* 2.0 (+ (sqrt (- (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re)))) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (* 2.0 (+ (sqrt (- (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re)))) in im * [misc]taylor: Taking taylor expansion of 2.0 in im * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]taylor: Taking taylor expansion of (+ (sqrt (- (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) in im * [misc]taylor: Taking taylor expansion of (sqrt (- (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) in im * [misc]taylor: Taking taylor expansion of (- (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in im * [misc]taylor: Taking taylor expansion of (* (/ 1 (- re)) (/ 1 (- re))) in im * [misc]taylor: Taking taylor expansion of (/ 1 (- re)) in im * [misc]taylor: Taking taylor expansion of (- re) in im * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]backup-simplify: Simplify (- re) into (- re) * [misc]backup-simplify: Simplify (- re) into (- re) * [misc]backup-simplify: Simplify (/ 1 (- re)) into (/ -1 re) * [misc]taylor: Taking taylor expansion of (/ 1 (- re)) in im * [misc]taylor: Taking taylor expansion of (- re) in im * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]backup-simplify: Simplify (- re) into (- re) * [misc]backup-simplify: Simplify (- re) into (- re) * [misc]backup-simplify: Simplify (/ 1 (- re)) into (/ -1 re) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in im * [misc]taylor: Taking taylor expansion of (/ 1 (- im)) in im * [misc]taylor: Taking taylor expansion of (- im) in im * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- im)) in im * [misc]taylor: Taking taylor expansion of (- im) in im * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [misc]taylor: Taking taylor expansion of (/ 1 (- re)) in im * [misc]taylor: Taking taylor expansion of (- re) in im * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]backup-simplify: Simplify (- re) into (- re) * [misc]backup-simplify: Simplify (- re) into (- re) * [misc]backup-simplify: Simplify (/ 1 (- re)) into (/ -1 re) * [misc]taylor: Taking taylor expansion of (* 2.0 (+ (sqrt (- (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re)))) in re * [misc]taylor: Taking taylor expansion of 2.0 in re * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]taylor: Taking taylor expansion of (+ (sqrt (- (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) in re * [misc]taylor: Taking taylor expansion of (sqrt (- (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) in re * [misc]taylor: Taking taylor expansion of (- (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re * [misc]taylor: Taking taylor expansion of (* (/ 1 (- re)) (/ 1 (- re))) in re * [misc]taylor: Taking taylor expansion of (/ 1 (- re)) in re * [misc]taylor: Taking taylor expansion of (- re) in re * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- re)) in re * [misc]taylor: Taking taylor expansion of (- re) in re * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in re * [misc]taylor: Taking taylor expansion of (/ 1 (- im)) in re * [misc]taylor: Taking taylor expansion of (- im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (/ 1 (- im)) into (/ -1 im) * [misc]taylor: Taking taylor expansion of (/ 1 (- im)) in re * [misc]taylor: Taking taylor expansion of (- im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (/ 1 (- im)) into (/ -1 im) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (/ 1 (- re)) in re * [misc]taylor: Taking taylor expansion of (- re) in re * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* 2.0 (+ (sqrt (- (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re)))) in re * [misc]taylor: Taking taylor expansion of 2.0 in re * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]taylor: Taking taylor expansion of (+ (sqrt (- (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) in re * [misc]taylor: Taking taylor expansion of (sqrt (- (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) in re * [misc]taylor: Taking taylor expansion of (- (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re * [misc]taylor: Taking taylor expansion of (* (/ 1 (- re)) (/ 1 (- re))) in re * [misc]taylor: Taking taylor expansion of (/ 1 (- re)) in re * [misc]taylor: Taking taylor expansion of (- re) in re * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- re)) in re * [misc]taylor: Taking taylor expansion of (- re) in re * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in re * [misc]taylor: Taking taylor expansion of (/ 1 (- im)) in re * [misc]taylor: Taking taylor expansion of (- im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (/ 1 (- im)) into (/ -1 im) * [misc]taylor: Taking taylor expansion of (/ 1 (- im)) in re * [misc]taylor: Taking taylor expansion of (- im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (/ 1 (- im)) into (/ -1 im) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (/ 1 (- re)) in re * [misc]taylor: Taking taylor expansion of (- re) in re * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (* 2.0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2.0 0) (* 0 0)) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (sqr im)) * [misc]backup-simplify: Simplify (- (/ 1 (sqr im))) into (- (/ 1 (sqr im))) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 (sqr im)))) into (- (/ 1 (sqr im))) * [misc]backup-simplify: Simplify (/ (- (- (/ 1 (sqr im))) (sqr 0) (+)) (* 2 1)) into (/ -1/2 (sqr 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 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ -1/2 (sqr im)) 0) into (- (* 1/2 (/ 1 (sqr im)))) * [misc]backup-simplify: Simplify (+ (* 2.0 (- (* 1/2 (/ 1 (sqr im))))) (+ (* 0 0) (* 0 0))) into (- (* 1.0 (/ 1 (sqr im)))) * [misc]taylor: Taking taylor expansion of (- (* 1.0 (/ 1 (sqr im)))) in im * [misc]taylor: Taking taylor expansion of (* 1.0 (/ 1 (sqr im))) in im * [misc]taylor: Taking taylor expansion of 1.0 in im * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]taylor: Taking taylor expansion of (/ 1 (sqr im)) in im * [misc]taylor: Taking taylor expansion of (sqr im) in im * [misc]taylor: Taking 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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1.0 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) 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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (sqr im)))))) (* 2 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2.0 0) (+ (* 0 (- (* 1/2 (/ 1 (sqr im))))) (+ (* 0 0) (* 0 0)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 1 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 1 2 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 1) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* 0.5 (- (+ (* +nan.0 (/ re (* (sqrt 2.0) (sqrt -1)))) (- (+ (* +nan.0 (* (sqrt 2.0) (* im (sqrt -1)))) (- (+ (* +nan.0 (/ (sqr re) (* (pow (sqrt 2.0) 3) (sqrt -1)))) (- (* +nan.0 (/ (sqr re) (* (sqrt 2.0) (sqrt -1)))))))))))) * * * * [misc]progress: [ 2 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* 0.5 (- (+ (* +nan.0 (/ 1 re)) (- (+ +nan.0 (- (* +nan.0 (/ 1 (sqr re))))))))) * * * * [misc]progress: [ 3 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* 0.5 0) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 4 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* 0.5 (sqrt (* 2.0 (+ (* im (sqrt -1)) re)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (* re 2.0) (* (sqrt -1) (* 2.0 im)))) 0.5) * * * * [misc]progress: [ 5 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* 0.5 (sqrt (* 2.0 (* 2 re)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * [exit]simplify: Simplified to (* 0.5 (sqrt (* 2 (* re 2.0)))) * * * * [misc]progress: [ 6 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* 0.5 (sqrt (* 2.0 0))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (* 0.5 (sqrt 0)) * * * * [misc]progress: [ 7 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* 0.5 (sqrt (* 2.0 (+ (* im (sqrt -1)) re)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (* re 2.0) (* (sqrt -1) (* 2.0 im)))) 0.5) * * * * [misc]progress: [ 8 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* 0.5 (sqrt (* 2.0 (+ re re)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (* 0.5 (sqrt (+ (* 2.0 re) (* 2.0 re)))) * * * * [misc]progress: [ 9 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* 0.5 (sqrt (* 2.0 (+ (* -1 re) re)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * [exit]simplify: Simplified to (* (sqrt (* (+ -1 1) (* re 2.0))) 0.5) * * * * [misc]progress: [ 10 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* 0.5 (sqrt (+ (* 2.0 (* im (sqrt -1))) (* 2.0 re)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * [exit]simplify: Simplified to (* 0.5 (sqrt (+ (* (* 2.0 im) (sqrt -1)) (* 2.0 re)))) * * * * [misc]progress: [ 11 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* 0.5 (sqrt (* 4.0 re))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (* 0.5 (sqrt (* 4.0 re))) * * * * [misc]progress: [ 12 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* 0.5 (sqrt 0)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (* (sqrt 0) 0.5) * * * * [misc]progress: [ 13 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (* 2.0 (+ (sqrt (- (* re re) (* im im))) re)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * [exit]simplify: Simplified to (log (sqrt (* (+ (sqrt (- (* re re) (* im im))) re) 2.0))) * [exit]simplify: Simplified to (log (sqrt (* (+ (sqrt (- (* re re) (* im im))) re) 2.0))) * * * * [misc]progress: [ 16 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (* 2.0 (+ (sqrt (- (* re re) (* im im))) re)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * [exit]simplify: Simplified to (exp (sqrt (* (+ (sqrt (- (* re re) (* im im))) re) 2.0))) * [exit]simplify: Simplified to (exp (sqrt (* (+ (sqrt (- (* re re) (* im im))) re) 2.0))) * * * * [misc]progress: [ 17 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (* 2.0 (+ (sqrt (- (* re re) (* im im))) re)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (* (+ (sqrt (- (* re re) (* im im))) re) 2.0))) * [exit]simplify: Simplified to (cbrt (sqrt (* (+ (sqrt (- (* re re) (* im im))) re) 2.0))) * * * * [misc]progress: [ 18 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (sqrt (* 2.0 (+ (sqrt (- (* re re) (* im im))) re)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (* (* (+ (sqrt (* (+ re im) (- re im))) re) 2.0) (sqrt (* (+ (sqrt (* (+ re im) (- re im))) re) 2.0))) * [exit]simplify: Simplified to (* (* (+ (sqrt (* (+ re im) (- re im))) re) 2.0) (sqrt (* (+ (sqrt (* (+ re im) (- re im))) re) 2.0))) * * * * [misc]progress: [ 19 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 2.0) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 2.0) * [exit]simplify: Simplified to (sqrt 2.0) * [enter]simplify: Simplifying (sqrt (+ (sqrt (- (* re re) (* im im))) re)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * [exit]simplify: Simplified to (sqrt (+ re (sqrt (* (+ re im) (- re im))))) * [exit]simplify: Simplified to (sqrt (+ re (sqrt (* (+ re im) (- re im))))) * * * * [misc]progress: [ 20 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* 2.0 (- (pow (sqrt (- (* re re) (* im im))) 3) (pow re 3)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (sqrt (* 2.0 (- (* (- (* re re) (* im im)) (sqrt (- (* re re) (* im im)))) (cube re)))) * [exit]simplify: Simplified to (sqrt (* 2.0 (- (* (- (* re re) (* im im)) (sqrt (- (* re re) (* im im)))) (cube re)))) * [enter]simplify: Simplifying (sqrt (+ (sqr (sqrt (- (* re re) (* im im)))) (- (sqr re) (* (sqrt (- (* re re) (* im im))) re)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (115 enodes) * [exit]simplify: Simplified to (sqrt (- (- (sqr re) (- (* im im) (sqr re))) (* re (sqrt (* (- re im) (+ re im)))))) * [exit]simplify: Simplified to (sqrt (- (- (sqr re) (- (* im im) (sqr re))) (* re (sqrt (* (- re im) (+ re im)))))) * * * * [misc]progress: [ 21 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* 2.0 (- (sqr (sqrt (- (* re re) (* im im)))) (sqr re)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (94 enodes) * * [misc]simplify: iters left: 1 (110 enodes) * [exit]simplify: Simplified to (sqrt (* (- (* re re) (+ (* im im) (* re re))) 2.0)) * [exit]simplify: Simplified to (sqrt (* (- (* re re) (+ (* im im) (* re re))) 2.0)) * [enter]simplify: Simplifying (sqrt (- (sqrt (- (* re re) (* im im))) re)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * [exit]simplify: Simplified to (sqrt (- (sqrt (* (- re im) (+ re im))) re)) * [exit]simplify: Simplified to (sqrt (- (sqrt (* (- re im) (+ re im))) re)) * * * * [misc]progress: [ 22 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (* 2.0 (+ (sqrt (- (* re re) (* im im))) re)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (* (+ (sqrt (- (* re re) (* im im))) re) 2.0))) * [exit]simplify: Simplified to (sqrt (sqrt (* (+ (sqrt (- (* re re) (* im im))) re) 2.0))) * * * * [misc]progress: [ 23 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (sqrt (- (* re re) (* im im))) re)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * [exit]simplify: Simplified to (log (+ re (sqrt (* (+ re im) (- re im))))) * [exit]simplify: Simplified to (log (+ re (sqrt (* (+ re im) (- re im))))) * * * * [misc]progress: [ 27 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (+ (sqrt (- (* re re) (* im im))) re)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * [exit]simplify: Simplified to (exp (+ re (sqrt (* (- re im) (+ re im))))) * [exit]simplify: Simplified to (exp (+ re (sqrt (* (- re im) (+ re im))))) * * * * [misc]progress: [ 28 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (sqrt (- (* re re) (* im im))) re)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * [exit]simplify: Simplified to (cbrt (+ re (sqrt (* (+ re im) (- re im))))) * [exit]simplify: Simplified to (cbrt (+ re (sqrt (* (+ re im) (- re im))))) * * * * [misc]progress: [ 29 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (+ (sqrt (- (* re re) (* im im))) re)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (124 enodes) * * [misc]simplify: iters left: 1 (217 enodes) * [exit]simplify: Simplified to (cube (+ re (sqrt (* (- re im) (+ re im))))) * [exit]simplify: Simplified to (cube (+ re (sqrt (* (- re im) (+ re im))))) * * * * [misc]progress: [ 30 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (sqrt (- (* re re) (* im im))) re)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * [exit]simplify: Simplified to (sqrt (+ re (sqrt (* (+ re im) (- re im))))) * [exit]simplify: Simplified to (sqrt (+ re (sqrt (* (+ re im) (- re im))))) * * * * [misc]progress: [ 31 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (sqrt (- (* re re) (* im im))) 3) (pow re 3)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * [exit]simplify: Simplified to (- (* (sqrt (* (+ re im) (- re im))) (* (+ re im) (- re im))) (cube re)) * [exit]simplify: Simplified to (- (* (sqrt (* (+ re im) (- re im))) (* (+ re im) (- re im))) (cube re)) * [enter]simplify: Simplifying (+ (sqr (sqrt (- (* re re) (* im im)))) (- (sqr re) (* (sqrt (- (* re re) (* im im))) re))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (114 enodes) * [exit]simplify: Simplified to (- (- (sqr re) (- (* im im) (sqr re))) (* re (sqrt (* (- re im) (+ re im))))) * [exit]simplify: Simplified to (- (- (sqr re) (- (* im im) (sqr re))) (* re (sqrt (* (- re im) (+ re im))))) * * * * [misc]progress: [ 33 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqr (sqrt (- (* re re) (* im im)))) (sqr re)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (- (- (sqr re) (sqr re)) (* im im)) * [exit]simplify: Simplified to (- (- (sqr re) (sqr re)) (* im im)) * [enter]simplify: Simplifying (- (sqrt (- (* re re) (* im im))) re) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * [exit]simplify: Simplified to (- (sqrt (* (+ re im) (- re im))) re) * [exit]simplify: Simplified to (- (sqrt (* (+ re im) (- re im))) re) * * * * [misc]progress: [ 34 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (- (* re re) (* im im)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * [exit]simplify: Simplified to (log (sqrt (* (+ re im) (- re im)))) * [exit]simplify: Simplified to (log (sqrt (* (+ re im) (- re im)))) * * * * [misc]progress: [ 38 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (- (* re re) (* im im)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * [exit]simplify: Simplified to (exp (sqrt (* (+ re im) (- re im)))) * [exit]simplify: Simplified to (exp (sqrt (* (+ re im) (- re im)))) * * * * [misc]progress: [ 39 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (- (* re re) (* im im)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (* (+ re im) (- re im)))) * [exit]simplify: Simplified to (cbrt (sqrt (* (+ re im) (- re im)))) * * * * [misc]progress: [ 40 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (sqrt (- (* re re) (* im im)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * [exit]simplify: Simplified to (* (* (- re im) (+ re im)) (sqrt (* (- re im) (+ re im)))) * [exit]simplify: Simplified to (* (* (- re im) (+ re im)) (sqrt (* (- re im) (+ re im)))) * * * * [misc]progress: [ 41 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [exit]simplify: Simplified to (sqrt 1) * [enter]simplify: Simplifying (sqrt (- (* re re) (* im im))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * * [misc]simplify: iters left: 1 (21 enodes) * [exit]simplify: Simplified to (sqrt (* (+ re im) (- re im))) * [exit]simplify: Simplified to (sqrt (* (+ re im) (- re im))) * * * * [misc]progress: [ 42 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ re im)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (sqrt (+ re im)) * [exit]simplify: Simplified to (sqrt (+ re im)) * [enter]simplify: Simplifying (sqrt (- re im)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (sqrt (- re im)) * [exit]simplify: Simplified to (sqrt (- re im)) * * * * [misc]progress: [ 43 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ re (sqrt (* im im)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (sqrt (+ (fabs im) re)) * [exit]simplify: Simplified to (sqrt (+ (fabs im) re)) * [enter]simplify: Simplifying (sqrt (- re (sqrt (* im im)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (sqrt (- re (fabs im))) * [exit]simplify: Simplified to (sqrt (- re (fabs im))) * * * * [misc]progress: [ 44 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (sqrt (* re re)) im)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (sqrt (+ (fabs re) im)) * [exit]simplify: Simplified to (sqrt (+ (fabs re) im)) * [enter]simplify: Simplifying (sqrt (- (sqrt (* re re)) im)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (sqrt (- (fabs re) im)) * [exit]simplify: Simplified to (sqrt (- (fabs re) im)) * * * * [misc]progress: [ 45 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (sqrt (* re re)) (sqrt (* im im)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (sqrt (+ (fabs re) (fabs im))) * [exit]simplify: Simplified to (sqrt (+ (fabs re) (fabs im))) * [enter]simplify: Simplifying (sqrt (- (sqrt (* re re)) (sqrt (* im im)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (sqrt (- (fabs re) (fabs im))) * [exit]simplify: Simplified to (sqrt (- (fabs re) (fabs im))) * * * * [misc]progress: [ 46 / 63 ] 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 (13 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * [exit]simplify: Simplified to (sqrt (* (+ (cube re) (cube im)) (- (cube re) (cube im)))) * [exit]simplify: Simplified to (sqrt (* (+ (cube re) (cube im)) (- (cube re) (cube im)))) * [enter]simplify: Simplifying (sqrt (+ (sqr (* re re)) (+ (sqr (* im im)) (* (* re re) (* im im))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (73 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (sqr re) (sqr re)) (* (* im im) (+ (* im im) (sqr re))))) * [exit]simplify: Simplified to (sqrt (+ (* (sqr re) (sqr re)) (* (* im im) (+ (* im im) (sqr re))))) * * * * [misc]progress: [ 47 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (sqr (* re re)) (sqr (* im im)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (177 enodes) * [exit]simplify: Simplified to (sqrt (* (- (sqr re) (* im im)) (+ (* im im) (sqr re)))) * [exit]simplify: Simplified to (sqrt (* (- (sqr re) (* im im)) (+ (* im im) (sqr re)))) * [enter]simplify: Simplifying (sqrt (+ (* re re) (* im im))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (sqrt (+ (sqr re) (* im im))) * [exit]simplify: Simplified to (sqrt (+ (sqr re) (* im im))) * * * * [misc]progress: [ 48 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (- (* re re) (* im im)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (* (+ re im) (- re im)))) * [exit]simplify: Simplified to (sqrt (sqrt (* (+ re im) (- re im)))) * * * * [misc]progress: [ 49 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* 2.0 (+ (sqrt (- (* re re) (* im im))) re))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * [exit]simplify: Simplified to (log (* (+ (sqrt (- (* re re) (* im im))) re) 2.0)) * [exit]simplify: Simplified to (log (* (+ (sqrt (- (* re re) (* im im))) re) 2.0)) * * * * [misc]progress: [ 53 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* 2.0 (+ (sqrt (- (* re re) (* im im))) re))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * [exit]simplify: Simplified to (pow (exp 2.0) (+ (sqrt (* (+ re im) (- re im))) re)) * [exit]simplify: Simplified to (pow (exp 2.0) (+ (sqrt (* (+ re im) (- re im))) re)) * * * * [misc]progress: [ 54 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* 2.0 (+ (sqrt (- (* re re) (* im im))) re))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * [exit]simplify: Simplified to (cbrt (* (+ (sqrt (* (+ re im) (- re im))) re) 2.0)) * [exit]simplify: Simplified to (cbrt (* (+ (sqrt (* (+ re im) (- re im))) re) 2.0)) * * * * [misc]progress: [ 55 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (* 2.0 (+ (sqrt (- (* re re) (* im im))) re))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (221 enodes) * [exit]simplify: Simplified to (cube (* (+ (sqrt (* (- re im) (+ re im))) re) 2.0)) * [exit]simplify: Simplified to (cube (* (+ (sqrt (* (- re im) (+ re im))) re) 2.0)) * * * * [misc]progress: [ 56 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* 2.0 (+ (sqrt (- (* re re) (* im im))) re))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * [exit]simplify: Simplified to (sqrt (* (+ (sqrt (* (+ re im) (- re im))) re) 2.0)) * [exit]simplify: Simplified to (sqrt (* (+ (sqrt (* (+ re im) (- re im))) re) 2.0)) * * * * [misc]progress: [ 57 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 58 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2.0 (sqrt (- (* re re) (* im im)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * [exit]simplify: Simplified to (* 2.0 (sqrt (- (* re re) (* im im)))) * [exit]simplify: Simplified to (* 2.0 (sqrt (- (* re re) (* im im)))) * [enter]simplify: Simplifying (* 2.0 re) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (* re 2.0) * [exit]simplify: Simplified to (* re 2.0) * * * * [misc]progress: [ 59 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (- (* re re) (* im im))) 2.0) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * [exit]simplify: Simplified to (* 2.0 (sqrt (* (+ re im) (- re im)))) * [exit]simplify: Simplified to (* 2.0 (sqrt (* (+ re im) (- re im)))) * [enter]simplify: Simplifying (* re 2.0) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (* 2.0 re) * [exit]simplify: Simplified to (* 2.0 re) * * * * [misc]progress: [ 60 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2.0 1) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to 2.0 * [exit]simplify: Simplified to 2.0 * * * * [misc]progress: [ 61 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2.0 (- (pow (sqrt (- (* re re) (* im im))) 3) (pow re 3))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (* 2.0 (- (* (* (+ re im) (- re im)) (sqrt (* (+ re im) (- re im)))) (cube re))) * [exit]simplify: Simplified to (* 2.0 (- (* (* (+ re im) (- re im)) (sqrt (* (+ re im) (- re im)))) (cube re))) * * * * [misc]progress: [ 62 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2.0 (- (sqr (sqrt (- (* re re) (* im im)))) (sqr re))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (93 enodes) * * [misc]simplify: iters left: 1 (109 enodes) * [exit]simplify: Simplified to (* (- (- (* re re) (* re re)) (* im im)) 2.0) * [exit]simplify: Simplified to (* (- (- (* re re) (* re re)) (* im im)) 2.0) * * * * [misc]progress: [ 63 / 63 ] simplifiying candidate # * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 2 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 2 ] generating series at (2 2 1 2 1) * [misc]approximate: Taking taylor expansion of (* (sqrt (+ re im)) (sqrt (- re im))) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (+ re im)) (sqrt (- re im))) in im * [misc]taylor: Taking taylor expansion of (sqrt (+ re im)) in im * [misc]taylor: Taking taylor expansion of (+ re im) in im * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]taylor: Taking 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 0) into re * [misc]backup-simplify: Simplify (sqrt re) into (sqrt re) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt re))) into (* 1/2 (sqrt (/ 1 re))) * [misc]taylor: Taking taylor expansion of (sqrt (- re im)) in im * [misc]taylor: Taking taylor expansion of (- re im) in im * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]taylor: Taking 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 (+ re 0) into re * [misc]backup-simplify: Simplify (sqrt re) into (sqrt re) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt re))) into (* -1/2 (sqrt (/ 1 re))) * [misc]taylor: Taking taylor expansion of (* (sqrt (+ re im)) (sqrt (- re im))) in re * [misc]taylor: Taking taylor expansion of (sqrt (+ re im)) in re * [misc]taylor: Taking taylor expansion of (+ re im) in re * [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 in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (+ 0 im) into im * [misc]backup-simplify: Simplify (sqrt im) into (sqrt im) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im))) * [misc]taylor: Taking taylor expansion of (sqrt (- re im)) in re * [misc]taylor: Taking taylor expansion of (- re im) in re * [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 in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (+ 0 (- im)) into (- im) * [misc]backup-simplify: Simplify (sqrt (- im)) into (sqrt (- im)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt (- im)))) into (/ 1/2 (sqrt (- im))) * [misc]taylor: Taking taylor expansion of (* (sqrt (+ re im)) (sqrt (- re im))) in re * [misc]taylor: Taking taylor expansion of (sqrt (+ re im)) in re * [misc]taylor: Taking taylor expansion of (+ re im) in re * [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 in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (+ 0 im) into im * [misc]backup-simplify: Simplify (sqrt im) into (sqrt im) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im))) * [misc]taylor: Taking taylor expansion of (sqrt (- re im)) in re * [misc]taylor: Taking taylor expansion of (- re im) in re * [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 in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (+ 0 (- im)) into (- im) * [misc]backup-simplify: Simplify (sqrt (- im)) into (sqrt (- im)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt (- im)))) into (/ 1/2 (sqrt (- im))) * [misc]backup-simplify: Simplify (* (sqrt im) (sqrt (- im))) into (* (sqrt im) (sqrt (- im))) * [misc]taylor: Taking taylor expansion of (* (sqrt im) (sqrt (- im))) in im * [misc]taylor: Taking taylor expansion of (sqrt im) in im * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (- 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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt im) (/ 1/2 (sqrt (- im)))) (* (* 1/2 (sqrt (/ 1 im))) (sqrt (- im)))) into (+ (* 1/2 (* (sqrt (/ 1 im)) (sqrt (- im)))) (* 1/2 (* (sqrt im) (/ 1 (sqrt (- im)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (* (sqrt (/ 1 im)) (sqrt (- im)))) (* 1/2 (* (sqrt im) (/ 1 (sqrt (- im)))))) in im * [misc]taylor: Taking taylor expansion of (* 1/2 (* (sqrt (/ 1 im)) (sqrt (- im)))) in im * [misc]taylor: Taking taylor expansion of 1/2 in im * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 im)) (sqrt (- im))) in im * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 im)) in im * [misc]taylor: Taking taylor expansion of (/ 1 im) in im * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (- 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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (* 1/2 (* (sqrt im) (/ 1 (sqrt (- im))))) in im * [misc]taylor: Taking taylor expansion of 1/2 in im * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (sqrt im) (/ 1 (sqrt (- im)))) in im * [misc]taylor: Taking taylor expansion of (sqrt im) in im * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt (- im))) in im * [misc]taylor: Taking taylor expansion of (sqrt (- 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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (/ 1 +nan.0) into +nan.0 * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr +nan.0) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) * [misc]backup-simplify: Simplify (+ (* 0 (- +nan.0)) (* +nan.0 +nan.0)) into (- +nan.0) * [misc]backup-simplify: Simplify (* 0 +nan.0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (- +nan.0)) (* 0 0)) into (- +nan.0) * [misc]backup-simplify: Simplify (+ 0 (- +nan.0)) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr (/ 1/2 (sqrt (- im)))) (+)) (* 2 (sqrt (- im)))) into (/ -1/8 (pow (sqrt (- im)) 3)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr (* 1/2 (sqrt (/ 1 im)))) (+)) (* 2 (sqrt im))) into (* -1/8 (sqrt (/ 1 (pow im 3)))) * [misc]backup-simplify: Simplify (+ (* (sqrt im) (/ -1/8 (pow (sqrt (- im)) 3))) (+ (* (* 1/2 (sqrt (/ 1 im))) (/ 1/2 (sqrt (- im)))) (* (* -1/8 (sqrt (/ 1 (pow im 3)))) (sqrt (- im))))) into (- (* 1/4 (* (sqrt (/ 1 im)) (/ 1 (sqrt (- im))))) (+ (* 1/8 (* (sqrt im) (/ 1 (pow (sqrt (- im)) 3)))) (* 1/8 (* (sqrt (/ 1 (pow im 3))) (sqrt (- im)))))) * [misc]taylor: Taking taylor expansion of (- (* 1/4 (* (sqrt (/ 1 im)) (/ 1 (sqrt (- im))))) (+ (* 1/8 (* (sqrt im) (/ 1 (pow (sqrt (- im)) 3)))) (* 1/8 (* (sqrt (/ 1 (pow im 3))) (sqrt (- im)))))) in im * [misc]taylor: Taking taylor expansion of (* 1/4 (* (sqrt (/ 1 im)) (/ 1 (sqrt (- im))))) in im * [misc]taylor: Taking taylor expansion of 1/4 in im * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 im)) (/ 1 (sqrt (- im)))) in im * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 im)) in im * [misc]taylor: Taking taylor expansion of (/ 1 im) in im * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt (- im))) in im * [misc]taylor: Taking taylor expansion of (sqrt (- 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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (/ 1 +nan.0) into +nan.0 * [misc]taylor: Taking taylor expansion of (+ (* 1/8 (* (sqrt im) (/ 1 (pow (sqrt (- im)) 3)))) (* 1/8 (* (sqrt (/ 1 (pow im 3))) (sqrt (- im))))) in im * [misc]taylor: Taking taylor expansion of (* 1/8 (* (sqrt im) (/ 1 (pow (sqrt (- im)) 3)))) in im * [misc]taylor: Taking taylor expansion of 1/8 in im * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (* (sqrt im) (/ 1 (pow (sqrt (- im)) 3))) in im * [misc]taylor: Taking taylor expansion of (sqrt im) in im * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (sqrt (- im)) 3)) in im * [misc]taylor: Taking taylor expansion of (pow (sqrt (- im)) 3) in im * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (sqrt (- im))))) in im * [misc]taylor: Taking taylor expansion of (* 3 (log (sqrt (- im)))) in im * [misc]taylor: Taking taylor expansion of 3 in im * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (sqrt (- im))) in im * [misc]taylor: Taking taylor expansion of (sqrt (- 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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (log +nan.0) into (log +nan.0) * [misc]backup-simplify: Simplify (+ (* (- -1) (log im)) (log +nan.0)) into (+ (log im) (log +nan.0)) * [misc]backup-simplify: Simplify (* 3 (+ (log im) (log +nan.0))) into (* 3 (+ (log im) (log +nan.0))) * [misc]backup-simplify: Simplify (exp (* 3 (+ (log im) (log +nan.0)))) into (exp (* 3 (+ (log im) (log +nan.0)))) * [misc]backup-simplify: Simplify (/ 1 (exp (* 3 (+ (log im) (log +nan.0))))) into (/ 1 (exp (* 3 (+ (log im) (log +nan.0))))) * [misc]taylor: Taking taylor expansion of (* 1/8 (* (sqrt (/ 1 (pow im 3))) (sqrt (- im)))) in im * [misc]taylor: Taking taylor expansion of 1/8 in im * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 (pow im 3))) (sqrt (- im))) in im * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im * [misc]taylor: Taking taylor expansion of (/ 1 (pow im 3)) in im * [misc]taylor: Taking taylor expansion of (pow im 3) in im * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (- 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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr +nan.0) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr +nan.0) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ (* 0 (- +nan.0)) (+ (* +nan.0 (- +nan.0)) (* +nan.0 +nan.0))) into (- +nan.0) * [misc]backup-simplify: Simplify (+ (* 0 (- +nan.0)) (* +nan.0 +nan.0)) into (- +nan.0) * [misc]backup-simplify: Simplify (* 0 +nan.0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 (- +nan.0)) (+ (* 0 (- +nan.0)) (* 0 0))) into (- +nan.0) * [misc]backup-simplify: Simplify (* 0 (/ 1 (exp (* 3 (+ (log im) (log +nan.0)))))) into 0 * [misc]backup-simplify: Simplify (* 1/8 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr +nan.0) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr +nan.0) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0) * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/8 (- +nan.0)) (+ (* 0 0) (* 0 0))) into (- +nan.0) * [misc]backup-simplify: Simplify (+ 0 (- +nan.0)) into (- +nan.0) * [misc]backup-simplify: Simplify (- (- +nan.0)) into (- +nan.0) * [misc]backup-simplify: Simplify (+ (- +nan.0) (- +nan.0)) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr +nan.0) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr +nan.0) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0) * [misc]backup-simplify: Simplify (+ (* 1/2 (- +nan.0)) (+ (* 0 0) (* 0 0))) into (- +nan.0) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) * [misc]backup-simplify: Simplify (/ (- 0 (sqr +nan.0) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ (* 0 (- +nan.0)) (+ (* +nan.0 (- +nan.0)) (* +nan.0 +nan.0))) into (- +nan.0) * [misc]backup-simplify: Simplify (+ (* 1/2 (- +nan.0)) (+ (* 0 (- +nan.0)) (* 0 0))) into (- +nan.0) * [misc]backup-simplify: Simplify (+ (- +nan.0) (- +nan.0)) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ (* (- +nan.0) (* im re)) (+ (* (- +nan.0) (sqr (* 1 re))) (* (- +nan.0) (* 1 re)))) into (- (+ (* +nan.0 (* im re)) (- (+ (* +nan.0 (sqr re)) (- (* +nan.0 re)))))) * [misc]approximate: Taking taylor expansion of (* (sqrt (+ (/ 1 re) (/ 1 im))) (sqrt (- (/ 1 re) (/ 1 im)))) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (+ (/ 1 re) (/ 1 im))) (sqrt (- (/ 1 re) (/ 1 im)))) in im * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 re) (/ 1 im))) in im * [misc]taylor: Taking taylor expansion of (+ (/ 1 re) (/ 1 im)) 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 im) in im * [misc]taylor: Taking 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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (- (/ 1 re) (/ 1 im))) in im * [misc]taylor: Taking taylor expansion of (- (/ 1 re) (/ 1 im)) 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 im) in im * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (* (sqrt (+ (/ 1 re) (/ 1 im))) (sqrt (- (/ 1 re) (/ 1 im)))) in re * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 re) (/ 1 im))) in re * [misc]taylor: Taking taylor expansion of (+ (/ 1 re) (/ 1 im)) 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 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 0) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (- (/ 1 re) (/ 1 im))) in re * [misc]taylor: Taking taylor expansion of (- (/ 1 re) (/ 1 im)) 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 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 0) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (* (sqrt (+ (/ 1 re) (/ 1 im))) (sqrt (- (/ 1 re) (/ 1 im)))) in re * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 re) (/ 1 im))) in re * [misc]taylor: Taking taylor expansion of (+ (/ 1 re) (/ 1 im)) 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 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 0) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (- (/ 1 re) (/ 1 im))) in re * [misc]taylor: Taking taylor expansion of (- (/ 1 re) (/ 1 im)) 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 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 0) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 im)) into (- (/ 1 im)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 im))) into (- (/ 1 im)) * [misc]backup-simplify: Simplify (/ (- (- (/ 1 im)) (sqr +nan.0) (+)) (* 2 0)) into (* +nan.0 (+ +nan.0 (/ 1 im))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 im)) into (/ 1 im) * [misc]backup-simplify: Simplify (/ (- (/ 1 im) (sqr +nan.0) (+)) (* 2 0)) into (* +nan.0 (- (/ 1 im) +nan.0)) * [misc]backup-simplify: Simplify (+ (* 0 (* +nan.0 (+ +nan.0 (/ 1 im)))) (+ (* +nan.0 +nan.0) (* (* +nan.0 (- (/ 1 im) +nan.0)) 0))) into (- +nan.0) * [misc]taylor: Taking taylor expansion of (- +nan.0) in im * [misc]taylor: Taking taylor expansion of +nan.0 in im * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (+ +nan.0 (/ 1 im))))))) (* 2 0)) into (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 im))))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (- (/ 1 im) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 im))))) * [misc]backup-simplify: Simplify (+ (* 0 (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 im)))))) (+ (* +nan.0 (* +nan.0 (+ +nan.0 (/ 1 im)))) (+ (* (* +nan.0 (- (/ 1 im) +nan.0)) +nan.0) (* (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 im))))) 0)))) into (- (+ +nan.0 (- (* +nan.0 (/ 1 im))))) * [misc]taylor: Taking taylor expansion of (- (+ +nan.0 (- (* +nan.0 (/ 1 im))))) in im * [misc]taylor: Taking taylor expansion of (+ +nan.0 (- (* +nan.0 (/ 1 im)))) in im * [misc]taylor: Taking taylor expansion of +nan.0 in im * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 im))) in im * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 im)) in im * [misc]taylor: Taking taylor expansion of +nan.0 in im * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (/ 1 im) in im * [misc]taylor: Taking 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 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 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr (* +nan.0 (+ +nan.0 (/ 1 im)))) (+ (* 2 (* +nan.0 (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 im))))))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (sqr im))) (- (+ +nan.0 (- (* +nan.0 (/ 1 im))))))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr (* +nan.0 (- (/ 1 im) +nan.0))) (+ (* 2 (* +nan.0 (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 im))))))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (sqr im))) (- (+ +nan.0 (- (* +nan.0 (/ 1 im))))))) * [misc]backup-simplify: Simplify (+ (* 0 (* +nan.0 (+ (* +nan.0 (/ 1 (sqr im))) (- (+ +nan.0 (- (* +nan.0 (/ 1 im)))))))) (+ (* +nan.0 (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 im)))))) (+ (* (* +nan.0 (- (/ 1 im) +nan.0)) (* +nan.0 (+ +nan.0 (/ 1 im)))) (+ (* (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 im))))) +nan.0) (* (* +nan.0 (+ (* +nan.0 (/ 1 (sqr im))) (- (+ +nan.0 (- (* +nan.0 (/ 1 im))))))) 0))))) into (- (+ (* +nan.0 (/ 1 (sqr im))) (- (+ +nan.0 (- (* +nan.0 (/ 1 im))))))) * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (sqr im))) (- (+ +nan.0 (- (* +nan.0 (/ 1 im))))))) in im * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (/ 1 (sqr im))) (- (+ +nan.0 (- (* +nan.0 (/ 1 im)))))) in im * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (sqr im))) in im * [misc]taylor: Taking taylor expansion of +nan.0 in im * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (/ 1 (sqr im)) in im * [misc]taylor: Taking taylor expansion of (sqr im) in im * [misc]taylor: Taking 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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (+ +nan.0 (- (* +nan.0 (/ 1 im))))) in im * [misc]taylor: Taking taylor expansion of (+ +nan.0 (- (* +nan.0 (/ 1 im)))) in im * [misc]taylor: Taking taylor expansion of +nan.0 in im * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 im))) in im * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 im)) in im * [misc]taylor: Taking taylor expansion of +nan.0 in im * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (/ 1 im) in im * [misc]taylor: Taking 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 (* +nan.0 1) into +nan.0 * [misc]backup-simplify: Simplify (+ +nan.0 0) into (- +nan.0) * [misc]backup-simplify: Simplify (- (- +nan.0)) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (* +nan.0 1) into +nan.0 * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ 0 (- +nan.0)) into (- +nan.0) * [misc]backup-simplify: Simplify (- (- +nan.0)) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ (- +nan.0) (+ (* (- +nan.0) (* (/ 1 (/ 1 im)) (/ 1 re))) (* (- +nan.0) (sqr (* (/ 1 (/ 1 im)) (/ 1 re)))))) into (- (+ +nan.0 (- (+ (* +nan.0 (/ (sqr im) (sqr re))) (- (* +nan.0 (/ im re))))))) * [misc]approximate: Taking taylor expansion of (* (sqrt (+ (/ 1 (- re)) (/ 1 (- im)))) (sqrt (- (/ 1 (- re)) (/ 1 (- im))))) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (+ (/ 1 (- re)) (/ 1 (- im)))) (sqrt (- (/ 1 (- re)) (/ 1 (- im))))) in im * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 (- re)) (/ 1 (- im)))) in im * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- re)) (/ 1 (- im))) 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 (- 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 (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (- (/ 1 (- re)) (/ 1 (- im)))) in im * [misc]taylor: Taking taylor expansion of (- (/ 1 (- re)) (/ 1 (- im))) 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 (- im)) in im * [misc]taylor: Taking taylor expansion of (- im) in im * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (* (sqrt (+ (/ 1 (- re)) (/ 1 (- im)))) (sqrt (- (/ 1 (- re)) (/ 1 (- im))))) in re * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 (- re)) (/ 1 (- im)))) in re * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- re)) (/ 1 (- im))) 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 (- 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 0) into -1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (- (/ 1 (- re)) (/ 1 (- im)))) in re * [misc]taylor: Taking taylor expansion of (- (/ 1 (- re)) (/ 1 (- im))) 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 (- 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 0) into -1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (* (sqrt (+ (/ 1 (- re)) (/ 1 (- im)))) (sqrt (- (/ 1 (- re)) (/ 1 (- im))))) in re * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 (- re)) (/ 1 (- im)))) in re * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- re)) (/ 1 (- im))) 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 (- 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 0) into -1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (- (/ 1 (- re)) (/ 1 (- im)))) in re * [misc]taylor: Taking taylor expansion of (- (/ 1 (- re)) (/ 1 (- im))) 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 (- 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 0) into -1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ -1 im)) into (/ 1 im) * [misc]backup-simplify: Simplify (+ 0 (/ 1 im)) into (/ 1 im) * [misc]backup-simplify: Simplify (/ (- (/ 1 im) (sqr +nan.0) (+)) (* 2 0)) into (* +nan.0 (- (/ 1 im) +nan.0)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ -1 im)) into (- (/ 1 im)) * [misc]backup-simplify: Simplify (/ (- (- (/ 1 im)) (sqr +nan.0) (+)) (* 2 0)) into (* +nan.0 (+ +nan.0 (/ 1 im))) * [misc]backup-simplify: Simplify (+ (* 0 (* +nan.0 (- (/ 1 im) +nan.0))) (+ (* +nan.0 +nan.0) (* (* +nan.0 (+ +nan.0 (/ 1 im))) 0))) into (- +nan.0) * [misc]taylor: Taking taylor expansion of (- +nan.0) in im * [misc]taylor: Taking taylor expansion of +nan.0 in im * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-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 (- im) into (- im) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (- (/ 1 im) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 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 (/ 0 -1)) (* 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 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (+ +nan.0 (/ 1 im))))))) (* 2 0)) into (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 im))))) * [misc]backup-simplify: Simplify (+ (* 0 (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 im)))))) (+ (* +nan.0 (* +nan.0 (- (/ 1 im) +nan.0))) (+ (* (* +nan.0 (+ +nan.0 (/ 1 im))) +nan.0) (* (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 im))))) 0)))) into (- (+ +nan.0 (- (* +nan.0 (/ 1 im))))) * [misc]taylor: Taking taylor expansion of (- (+ +nan.0 (- (* +nan.0 (/ 1 im))))) in im * [misc]taylor: Taking taylor expansion of (+ +nan.0 (- (* +nan.0 (/ 1 im)))) in im * [misc]taylor: Taking taylor expansion of +nan.0 in im * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 im))) in im * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 im)) in im * [misc]taylor: Taking taylor expansion of +nan.0 in im * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (/ 1 im) in im * [misc]taylor: Taking 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 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 (- im) into (- im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 im) (/ 0 (- im))) (* 0 (/ 0 (- im))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr (* +nan.0 (- (/ 1 im) +nan.0))) (+ (* 2 (* +nan.0 (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 im))))))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (sqr im))) (- (+ +nan.0 (- (* +nan.0 (/ 1 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)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 im) (/ 0 (- im))) (* 0 (/ 0 (- im))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr (* +nan.0 (+ +nan.0 (/ 1 im)))) (+ (* 2 (* +nan.0 (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 im))))))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (sqr im))) (- (+ +nan.0 (- (* +nan.0 (/ 1 im))))))) * [misc]backup-simplify: Simplify (+ (* 0 (* +nan.0 (+ (* +nan.0 (/ 1 (sqr im))) (- (+ +nan.0 (- (* +nan.0 (/ 1 im)))))))) (+ (* +nan.0 (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 im)))))) (+ (* (* +nan.0 (+ +nan.0 (/ 1 im))) (* +nan.0 (- (/ 1 im) +nan.0))) (+ (* (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 im))))) +nan.0) (* (* +nan.0 (+ (* +nan.0 (/ 1 (sqr im))) (- (+ +nan.0 (- (* +nan.0 (/ 1 im))))))) 0))))) into (- (+ (* +nan.0 (/ 1 (sqr im))) (- (+ +nan.0 (- (* +nan.0 (/ 1 im))))))) * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (sqr im))) (- (+ +nan.0 (- (* +nan.0 (/ 1 im))))))) in im * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (/ 1 (sqr im))) (- (+ +nan.0 (- (* +nan.0 (/ 1 im)))))) in im * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (sqr im))) in im * [misc]taylor: Taking taylor expansion of +nan.0 in im * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (/ 1 (sqr im)) in im * [misc]taylor: Taking taylor expansion of (sqr im) in im * [misc]taylor: Taking 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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (+ +nan.0 (- (* +nan.0 (/ 1 im))))) in im * [misc]taylor: Taking taylor expansion of (+ +nan.0 (- (* +nan.0 (/ 1 im)))) in im * [misc]taylor: Taking taylor expansion of +nan.0 in im * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 im))) in im * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 im)) in im * [misc]taylor: Taking taylor expansion of +nan.0 in im * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (/ 1 im) in im * [misc]taylor: Taking 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 (* +nan.0 1) into +nan.0 * [misc]backup-simplify: Simplify (+ +nan.0 0) into (- +nan.0) * [misc]backup-simplify: Simplify (- (- +nan.0)) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (* +nan.0 1) into +nan.0 * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ 0 (- +nan.0)) into (- +nan.0) * [misc]backup-simplify: Simplify (- (- +nan.0)) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ (- +nan.0) (+ (* (- +nan.0) (* (/ 1 (/ 1 (- im))) (/ 1 (- re)))) (* (- +nan.0) (sqr (* (/ 1 (/ 1 (- im))) (/ 1 (- re))))))) into (- (+ +nan.0 (- (+ (* +nan.0 (/ (sqr im) (sqr re))) (- (* +nan.0 (/ im re))))))) * * * * [misc]progress: [ 2 / 2 ] generating series at (2 2 1 2 1 1) * [misc]approximate: Taking taylor expansion of (sqrt (+ re im)) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ re im)) in im * [misc]taylor: Taking taylor expansion of (+ re im) in im * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]taylor: Taking 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 0) into re * [misc]backup-simplify: Simplify (sqrt re) into (sqrt re) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt re))) into (* 1/2 (sqrt (/ 1 re))) * [misc]taylor: Taking taylor expansion of (sqrt (+ re im)) in re * [misc]taylor: Taking taylor expansion of (+ re im) in re * [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 in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (+ 0 im) into im * [misc]backup-simplify: Simplify (sqrt im) into (sqrt im) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im))) * [misc]taylor: Taking taylor expansion of (sqrt (+ re im)) in re * [misc]taylor: Taking taylor expansion of (+ re im) in re * [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 in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (+ 0 im) into im * [misc]backup-simplify: Simplify (sqrt im) into (sqrt im) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im))) * [misc]taylor: Taking taylor expansion of (sqrt im) in im * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of (* 1/2 (sqrt (/ 1 im))) in im * [misc]taylor: Taking taylor expansion of 1/2 in im * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 im)) in im * [misc]taylor: Taking taylor expansion of (/ 1 im) in im * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (+ (* 1/2 +nan.0) (* 0 0)) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr (* 1/2 (sqrt (/ 1 im)))) (+)) (* 2 (sqrt im))) into (* -1/8 (sqrt (/ 1 (pow im 3)))) * [misc]taylor: Taking taylor expansion of (* -1/8 (sqrt (/ 1 (pow im 3)))) in im * [misc]taylor: Taking taylor expansion of -1/8 in im * [misc]backup-simplify: Simplify -1/8 into -1/8 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im * [misc]taylor: Taking taylor expansion of (/ 1 (pow im 3)) in im * [misc]taylor: Taking taylor expansion of (pow im 3) in im * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr +nan.0) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ (* -1/8 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ (* (- +nan.0) (sqr (* 1 re))) (+ (* +nan.0 (* im 1)) (* (- +nan.0) (* 1 re)))) into (- (+ (* +nan.0 im) (- (+ (* +nan.0 (sqr re)) (- (* +nan.0 re)))))) * [misc]approximate: Taking taylor expansion of (sqrt (+ (/ 1 re) (/ 1 im))) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 re) (/ 1 im))) in im * [misc]taylor: Taking taylor expansion of (+ (/ 1 re) (/ 1 im)) 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 im) in im * [misc]taylor: Taking 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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 re) (/ 1 im))) in re * [misc]taylor: Taking taylor expansion of (+ (/ 1 re) (/ 1 im)) 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 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 0) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 re) (/ 1 im))) in re * [misc]taylor: Taking taylor expansion of (+ (/ 1 re) (/ 1 im)) 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 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 0) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of +nan.0 in im * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 im)) into (/ 1 im) * [misc]backup-simplify: Simplify (/ (- (/ 1 im) (sqr +nan.0) (+)) (* 2 0)) into (* +nan.0 (- (/ 1 im) +nan.0)) * [misc]taylor: Taking taylor expansion of (* +nan.0 (- (/ 1 im) +nan.0)) in im * [misc]taylor: Taking taylor expansion of +nan.0 in im * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (- (/ 1 im) +nan.0) 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 +nan.0 in im * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* +nan.0 1) into +nan.0 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (- (/ 1 im) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 im))))) * [misc]taylor: Taking taylor expansion of (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 im))))) in im * [misc]taylor: Taking taylor expansion of +nan.0 in im * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (+ +nan.0 (- (* +nan.0 (/ 1 im)))) in im * [misc]taylor: Taking taylor expansion of +nan.0 in im * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 im))) in im * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 im)) in im * [misc]taylor: Taking taylor expansion of +nan.0 in im * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (/ 1 im) in im * [misc]taylor: Taking 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 (* +nan.0 1) into +nan.0 * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ 0 (- +nan.0)) into (- +nan.0) * [misc]backup-simplify: Simplify (* +nan.0 (- +nan.0)) into +nan.0 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify (+ (* +nan.0 (* (/ 1 (/ 1 im)) (sqr (/ 1 re)))) (+ +nan.0 (* +nan.0 (* (/ 1 (/ 1 im)) (/ 1 re))))) into (- (+ (* +nan.0 (/ im (sqr re))) (- (+ +nan.0 (- (* +nan.0 (/ im re))))))) * [misc]approximate: Taking taylor expansion of (sqrt (+ (/ 1 (- re)) (/ 1 (- im)))) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 (- re)) (/ 1 (- im)))) in im * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- re)) (/ 1 (- im))) 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 (- 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 (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 (- re)) (/ 1 (- im)))) in re * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- re)) (/ 1 (- im))) 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 (- 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 0) into -1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 (- re)) (/ 1 (- im)))) in re * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- re)) (/ 1 (- im))) 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 (- 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 0) into -1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of +nan.0 in im * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ -1 im)) into (- (/ 1 im)) * [misc]backup-simplify: Simplify (/ (- (- (/ 1 im)) (sqr +nan.0) (+)) (* 2 0)) into (* +nan.0 (+ +nan.0 (/ 1 im))) * [misc]taylor: Taking taylor expansion of (* +nan.0 (+ +nan.0 (/ 1 im))) in im * [misc]taylor: Taking taylor expansion of +nan.0 in im * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (+ +nan.0 (/ 1 im)) in im * [misc]taylor: Taking taylor expansion of +nan.0 in im * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (/ 1 im) in im * [misc]taylor: Taking 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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* +nan.0 1) into +nan.0 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify 0 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 (- im) into (- im) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (+ +nan.0 (/ 1 im))))))) (* 2 0)) into (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 im))))) * [misc]taylor: Taking taylor expansion of (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 im))))) in im * [misc]taylor: Taking taylor expansion of +nan.0 in im * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (+ +nan.0 (- (* +nan.0 (/ 1 im)))) in im * [misc]taylor: Taking taylor expansion of +nan.0 in im * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 im))) in im * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 im)) in im * [misc]taylor: Taking taylor expansion of +nan.0 in im * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (/ 1 im) in im * [misc]taylor: Taking 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 (* +nan.0 1) into +nan.0 * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ 0 (- +nan.0)) into (- +nan.0) * [misc]backup-simplify: Simplify (* +nan.0 (- +nan.0)) into +nan.0 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify (+ (* +nan.0 (* (/ 1 (/ 1 (- im))) (sqr (/ 1 (- re))))) (+ +nan.0 (* +nan.0 (* (/ 1 (/ 1 (- im))) (/ 1 (- re)))))) into (- (+ (* +nan.0 (/ im (sqr re))) (- (+ +nan.0 (- (* +nan.0 (/ im re))))))) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 2 ] rewriting at (2 2 1 2 1) * * * * [misc]progress: [ 2 / 2 ] rewriting at (2 2 1 2 1 1) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 45 ] simplifiying candidate # * [enter]simplify: Simplifying (* 0.5 (sqrt (* 2.0 (+ (- (+ (* +nan.0 (* im re)) (- (+ (* +nan.0 (sqr re)) (- (* +nan.0 re)))))) re)))) * * * * [misc]progress: [ 2 / 45 ] simplifiying candidate # * [enter]simplify: Simplifying (* 0.5 (sqrt (* 2.0 (+ (- (+ +nan.0 (- (+ (* +nan.0 (/ (sqr im) (sqr re))) (- (* +nan.0 (/ im re))))))) re)))) * * * * [misc]progress: [ 3 / 45 ] simplifiying candidate # * [enter]simplify: Simplifying (* 0.5 (sqrt (* 2.0 (+ (- (+ +nan.0 (- (+ (* +nan.0 (/ (sqr im) (sqr re))) (- (* +nan.0 (/ im re))))))) re)))) * * * * [misc]progress: [ 4 / 45 ] simplifiying candidate # * [enter]simplify: Simplifying (* 0.5 (sqrt (* 2.0 (+ (* (- (+ (* +nan.0 im) (- (+ (* +nan.0 (sqr re)) (- (* +nan.0 re)))))) (sqrt (- re im))) re)))) * * * * [misc]progress: [ 5 / 45 ] simplifiying candidate # * [enter]simplify: Simplifying (* 0.5 (sqrt (* 2.0 (+ (* (- (+ (* +nan.0 (/ im (sqr re))) (- (+ +nan.0 (- (* +nan.0 (/ im re))))))) (sqrt (- re im))) re)))) * * * * [misc]progress: [ 6 / 45 ] simplifiying candidate # * [enter]simplify: Simplifying (* 0.5 (sqrt (* 2.0 (+ (* (- (+ (* +nan.0 (/ im (sqr re))) (- (+ +nan.0 (- (* +nan.0 (/ im re))))))) (sqrt (- re im))) re)))) * * * * [misc]progress: [ 7 / 45 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ re im) (- re im)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * [exit]simplify: Simplified to (* (+ re im) (- re im)) * [exit]simplify: Simplified to (* (+ re im) (- re im)) * * * * [misc]progress: [ 8 / 45 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (+ re im)) (sqrt (- re im))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (* (sqrt (+ re im)) (sqrt (- re im))) * [exit]simplify: Simplified to (* (sqrt (+ re im)) (sqrt (- re im))) * * * * [misc]progress: [ 9 / 45 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 45 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (sqrt (+ re im))) (log (sqrt (- re im)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (+ (log (sqrt (- re im))) (log (sqrt (+ re im)))) * [exit]simplify: Simplified to (+ (log (sqrt (- re im))) (log (sqrt (+ re im)))) * * * * [misc]progress: [ 11 / 45 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (sqrt (+ re im)) (sqrt (- re im)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (log (* (sqrt (+ re im)) (sqrt (- re im)))) * [exit]simplify: Simplified to (log (* (sqrt (+ re im)) (sqrt (- re im)))) * * * * [misc]progress: [ 12 / 45 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (sqrt (+ re im)) (sqrt (- re im)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (exp (* (sqrt (+ re im)) (sqrt (- re im)))) * [exit]simplify: Simplified to (exp (* (sqrt (+ re im)) (sqrt (- re im)))) * * * * [misc]progress: [ 13 / 45 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cube (sqrt (+ re im))) (cube (sqrt (- re im)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (158 enodes) * [exit]simplify: Simplified to (* (sqrt (+ re im)) (* (sqrt (- re im)) (* (- re im) (+ re im)))) * [exit]simplify: Simplified to (* (sqrt (+ re im)) (* (sqrt (- re im)) (* (- re im) (+ re im)))) * * * * [misc]progress: [ 14 / 45 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (+ re im)) (sqrt (- re im)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (cbrt (* (sqrt (+ re im)) (sqrt (- re im)))) * [exit]simplify: Simplified to (cbrt (* (sqrt (+ re im)) (sqrt (- re im)))) * * * * [misc]progress: [ 15 / 45 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (* (sqrt (+ re im)) (sqrt (- re im)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (122 enodes) * [exit]simplify: Simplified to (* (* (* (+ re im) (- re im)) (sqrt (+ re im))) (sqrt (- re im))) * [exit]simplify: Simplified to (* (* (* (+ re im) (- re im)) (sqrt (+ re im))) (sqrt (- re im))) * * * * [misc]progress: [ 16 / 45 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (+ re im))) (cbrt (sqrt (- re im)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (- re im))) (cbrt (sqrt (+ re im)))) * [exit]simplify: Simplified to (* (cbrt (sqrt (- re im))) (cbrt (sqrt (+ re im)))) * * * * [misc]progress: [ 17 / 45 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ re im) (- re im)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * [exit]simplify: Simplified to (* (+ re im) (- re im)) * [exit]simplify: Simplified to (* (+ re im) (- re im)) * * * * [misc]progress: [ 18 / 45 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (sqrt (+ re im)) (sqrt (- re im)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (sqrt (* (sqrt (+ re im)) (sqrt (- re im)))) * [exit]simplify: Simplified to (sqrt (* (sqrt (+ re im)) (sqrt (- re im)))) * * * * [misc]progress: [ 19 / 45 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (sqrt (+ re im))) (sqrt (sqrt (- re im)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (- re im))) (sqrt (sqrt (+ re im)))) * [exit]simplify: Simplified to (* (sqrt (sqrt (- re im))) (sqrt (sqrt (+ re im)))) * * * * [misc]progress: [ 20 / 45 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (- (pow re 3) (pow im 3))) (sqrt (- (pow re 3) (pow im 3)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (- (cube re) (cube im)) * [exit]simplify: Simplified to (- (cube re) (cube im)) * [enter]simplify: Simplifying (* (sqrt (+ (sqr re) (- (sqr im) (* re im)))) (sqrt (+ (sqr re) (+ (sqr im) (* re im))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (sqr re) (* im (- im re)))) (sqrt (+ (* im (+ re im)) (sqr re)))) * [exit]simplify: Simplified to (* (sqrt (+ (sqr re) (* im (- im re)))) (sqrt (+ (* im (+ re im)) (sqr re)))) * * * * [misc]progress: [ 21 / 45 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (- (pow re 3) (pow im 3))) (sqrt (- (sqr re) (sqr im)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * [exit]simplify: Simplified to (* (sqrt (- (cube re) (cube im))) (sqrt (- (sqr re) (* im im)))) * [exit]simplify: Simplified to (* (sqrt (- (cube re) (cube im))) (sqrt (- (sqr re) (* im im)))) * [enter]simplify: Simplifying (* (sqrt (+ (sqr re) (- (sqr im) (* re im)))) (sqrt (+ re im))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (sqr re) (* im (- im re)))) (sqrt (+ re im))) * [exit]simplify: Simplified to (* (sqrt (+ (sqr re) (* im (- im re)))) (sqrt (+ re im))) * * * * [misc]progress: [ 22 / 45 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (- (sqr re) (sqr im))) (sqrt (- (pow re 3) (pow im 3)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * [exit]simplify: Simplified to (* (sqrt (- (cube re) (cube im))) (sqrt (- (sqr re) (* im im)))) * [exit]simplify: Simplified to (* (sqrt (- (cube re) (cube im))) (sqrt (- (sqr re) (* im im)))) * [enter]simplify: Simplifying (* (sqrt (- re im)) (sqrt (+ (sqr re) (+ (sqr im) (* re im))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (* im im) (* re (+ re im)))) (sqrt (- re im))) * [exit]simplify: Simplified to (* (sqrt (+ (* im im) (* re (+ re im)))) (sqrt (- re im))) * * * * [misc]progress: [ 23 / 45 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (- (sqr re) (sqr im))) (sqrt (- (sqr re) (sqr im)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * [exit]simplify: Simplified to (* (- re im) (+ re im)) * [exit]simplify: Simplified to (* (- re im) (+ re im)) * [enter]simplify: Simplifying (* (sqrt (- re im)) (sqrt (+ re im))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (* (sqrt (- re im)) (sqrt (+ re im))) * [exit]simplify: Simplified to (* (sqrt (- re im)) (sqrt (+ re im))) * * * * [misc]progress: [ 24 / 45 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 45 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (+ re im)) (sqrt 1)) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (* (sqrt (+ re im)) (sqrt 1)) * [exit]simplify: Simplified to (* (sqrt (+ re im)) (sqrt 1)) * * * * [misc]progress: [ 26 / 45 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (+ re im)) 1) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (sqrt (+ re im)) * [exit]simplify: Simplified to (sqrt (+ re im)) * * * * [misc]progress: [ 27 / 45 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (+ re im)) (sqrt (- re im))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (* (sqrt (+ re im)) (sqrt (- re im))) * [exit]simplify: Simplified to (* (sqrt (+ re im)) (sqrt (- re im))) * * * * [misc]progress: [ 28 / 45 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (+ re im)) (sqrt (- re im))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (* (sqrt (+ re im)) (sqrt (- re im))) * [exit]simplify: Simplified to (* (sqrt (+ re im)) (sqrt (- re im))) * * * * [misc]progress: [ 29 / 45 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (+ re im)) (sqrt (- (pow re 3) (pow im 3)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (* (sqrt (+ re im)) (sqrt (- (cube re) (cube im)))) * [exit]simplify: Simplified to (* (sqrt (+ re im)) (sqrt (- (cube re) (cube im)))) * * * * [misc]progress: [ 30 / 45 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (+ re im)) (sqrt (- (sqr re) (sqr im)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (* (sqrt (+ re im)) (sqrt (* (- re im) (+ re im)))) * [exit]simplify: Simplified to (* (sqrt (+ re im)) (sqrt (* (- re im) (+ re im)))) * * * * [misc]progress: [ 31 / 45 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (- (pow re 3) (pow im 3))) (sqrt (- re im))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (* (sqrt (- re im)) (sqrt (- (cube re) (cube im)))) * [exit]simplify: Simplified to (* (sqrt (- re im)) (sqrt (- (cube re) (cube im)))) * * * * [misc]progress: [ 32 / 45 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (- (sqr re) (sqr im))) (sqrt (- re im))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (* (sqrt (- re im)) (sqrt (* (+ re im) (- re im)))) * [exit]simplify: Simplified to (* (sqrt (- re im)) (sqrt (* (+ re im) (- re im)))) * * * * [misc]progress: [ 33 / 45 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 45 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 45 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 45 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (+ re im))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (log (sqrt (+ re im))) * [exit]simplify: Simplified to (log (sqrt (+ re im))) * * * * [misc]progress: [ 37 / 45 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (+ re im))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (exp (sqrt (+ re im))) * [exit]simplify: Simplified to (exp (sqrt (+ re im))) * * * * [misc]progress: [ 38 / 45 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (+ re im))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ re im))) * [exit]simplify: Simplified to (cbrt (sqrt (+ re im))) * * * * [misc]progress: [ 39 / 45 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (sqrt (+ re im))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * [exit]simplify: Simplified to (* (sqrt (+ re im)) (+ re im)) * [exit]simplify: Simplified to (* (sqrt (+ re im)) (+ re im)) * * * * [misc]progress: [ 40 / 45 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [exit]simplify: Simplified to (sqrt 1) * [enter]simplify: Simplifying (sqrt (+ re im)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (sqrt (+ re im)) * [exit]simplify: Simplified to (sqrt (+ re im)) * * * * [misc]progress: [ 41 / 45 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (pow re 3) (pow im 3))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * [exit]simplify: Simplified to (sqrt (- (cube re) (cube im))) * [exit]simplify: Simplified to (sqrt (- (cube re) (cube im))) * [enter]simplify: Simplifying (sqrt (+ (sqr re) (- (sqr im) (* re im)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * [exit]simplify: Simplified to (sqrt (+ (sqr re) (* (- im re) im))) * [exit]simplify: Simplified to (sqrt (+ (sqr re) (* (- im re) im))) * * * * [misc]progress: [ 42 / 45 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (sqr re) (sqr im))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * * [misc]simplify: iters left: 1 (21 enodes) * [exit]simplify: Simplified to (sqrt (* (+ re im) (- re im))) * [exit]simplify: Simplified to (sqrt (* (+ re im) (- re im))) * [enter]simplify: Simplifying (sqrt (- re im)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (sqrt (- re im)) * [exit]simplify: Simplified to (sqrt (- re im)) * * * * [misc]progress: [ 43 / 45 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ re im))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ re im))) * [exit]simplify: Simplified to (sqrt (sqrt (+ re im))) * * * * [misc]progress: [ 44 / 45 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 45 ] simplifiying candidate # * * * [misc]progress: adding candidates to table * * [misc]progress: Final touches. * * * [misc]progress: tayloring alt 1 of 2 * [misc]approximate: Taking taylor expansion of (* (sqrt (+ re im)) (sqrt (- re im))) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (+ re im)) (sqrt (- re im))) in im * [misc]taylor: Taking taylor expansion of (sqrt (+ re im)) in im * [misc]taylor: Taking taylor expansion of (+ re im) in im * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]taylor: Taking 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 0) into re * [misc]backup-simplify: Simplify (sqrt re) into (sqrt re) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt re))) into (* 1/2 (sqrt (/ 1 re))) * [misc]taylor: Taking taylor expansion of (sqrt (- re im)) in im * [misc]taylor: Taking taylor expansion of (- re im) in im * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]taylor: Taking 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 (+ re 0) into re * [misc]backup-simplify: Simplify (sqrt re) into (sqrt re) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt re))) into (* -1/2 (sqrt (/ 1 re))) * [misc]taylor: Taking taylor expansion of (* (sqrt (+ re im)) (sqrt (- re im))) in re * [misc]taylor: Taking taylor expansion of (sqrt (+ re im)) in re * [misc]taylor: Taking taylor expansion of (+ re im) in re * [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 in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (+ 0 im) into im * [misc]backup-simplify: Simplify (sqrt im) into (sqrt im) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im))) * [misc]taylor: Taking taylor expansion of (sqrt (- re im)) in re * [misc]taylor: Taking taylor expansion of (- re im) in re * [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 in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (+ 0 (- im)) into (- im) * [misc]backup-simplify: Simplify (sqrt (- im)) into (sqrt (- im)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt (- im)))) into (/ 1/2 (sqrt (- im))) * [misc]taylor: Taking taylor expansion of (* (sqrt (+ re im)) (sqrt (- re im))) in re * [misc]taylor: Taking taylor expansion of (sqrt (+ re im)) in re * [misc]taylor: Taking taylor expansion of (+ re im) in re * [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 in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (+ 0 im) into im * [misc]backup-simplify: Simplify (sqrt im) into (sqrt im) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im))) * [misc]taylor: Taking taylor expansion of (sqrt (- re im)) in re * [misc]taylor: Taking taylor expansion of (- re im) in re * [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 in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (+ 0 (- im)) into (- im) * [misc]backup-simplify: Simplify (sqrt (- im)) into (sqrt (- im)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt (- im)))) into (/ 1/2 (sqrt (- im))) * [misc]backup-simplify: Simplify (* (sqrt im) (sqrt (- im))) into (* (sqrt im) (sqrt (- im))) * [misc]taylor: Taking taylor expansion of (* (sqrt im) (sqrt (- im))) in im * [misc]taylor: Taking taylor expansion of (sqrt im) in im * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (- 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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt im) (/ 1/2 (sqrt (- im)))) (* (* 1/2 (sqrt (/ 1 im))) (sqrt (- im)))) into (+ (* 1/2 (* (sqrt (/ 1 im)) (sqrt (- im)))) (* 1/2 (* (sqrt im) (/ 1 (sqrt (- im)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (* (sqrt (/ 1 im)) (sqrt (- im)))) (* 1/2 (* (sqrt im) (/ 1 (sqrt (- im)))))) in im * [misc]taylor: Taking taylor expansion of (* 1/2 (* (sqrt (/ 1 im)) (sqrt (- im)))) in im * [misc]taylor: Taking taylor expansion of 1/2 in im * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 im)) (sqrt (- im))) in im * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 im)) in im * [misc]taylor: Taking taylor expansion of (/ 1 im) in im * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (- 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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (* 1/2 (* (sqrt im) (/ 1 (sqrt (- im))))) in im * [misc]taylor: Taking taylor expansion of 1/2 in im * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (sqrt im) (/ 1 (sqrt (- im)))) in im * [misc]taylor: Taking taylor expansion of (sqrt im) in im * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt (- im))) in im * [misc]taylor: Taking taylor expansion of (sqrt (- 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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (/ 1 +nan.0) into +nan.0 * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr +nan.0) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) * [misc]backup-simplify: Simplify (+ (* 0 (- +nan.0)) (* +nan.0 +nan.0)) into (- +nan.0) * [misc]backup-simplify: Simplify (* 0 +nan.0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (- +nan.0)) (* 0 0)) into (- +nan.0) * [misc]backup-simplify: Simplify (+ 0 (- +nan.0)) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr (/ 1/2 (sqrt (- im)))) (+)) (* 2 (sqrt (- im)))) into (/ -1/8 (pow (sqrt (- im)) 3)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr (* 1/2 (sqrt (/ 1 im)))) (+)) (* 2 (sqrt im))) into (* -1/8 (sqrt (/ 1 (pow im 3)))) * [misc]backup-simplify: Simplify (+ (* (sqrt im) (/ -1/8 (pow (sqrt (- im)) 3))) (+ (* (* 1/2 (sqrt (/ 1 im))) (/ 1/2 (sqrt (- im)))) (* (* -1/8 (sqrt (/ 1 (pow im 3)))) (sqrt (- im))))) into (- (* 1/4 (* (sqrt (/ 1 im)) (/ 1 (sqrt (- im))))) (+ (* 1/8 (* (sqrt im) (/ 1 (pow (sqrt (- im)) 3)))) (* 1/8 (* (sqrt (/ 1 (pow im 3))) (sqrt (- im)))))) * [misc]taylor: Taking taylor expansion of (- (* 1/4 (* (sqrt (/ 1 im)) (/ 1 (sqrt (- im))))) (+ (* 1/8 (* (sqrt im) (/ 1 (pow (sqrt (- im)) 3)))) (* 1/8 (* (sqrt (/ 1 (pow im 3))) (sqrt (- im)))))) in im * [misc]taylor: Taking taylor expansion of (* 1/4 (* (sqrt (/ 1 im)) (/ 1 (sqrt (- im))))) in im * [misc]taylor: Taking taylor expansion of 1/4 in im * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 im)) (/ 1 (sqrt (- im)))) in im * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 im)) in im * [misc]taylor: Taking taylor expansion of (/ 1 im) in im * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt (- im))) in im * [misc]taylor: Taking taylor expansion of (sqrt (- 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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (/ 1 +nan.0) into +nan.0 * [misc]taylor: Taking taylor expansion of (+ (* 1/8 (* (sqrt im) (/ 1 (pow (sqrt (- im)) 3)))) (* 1/8 (* (sqrt (/ 1 (pow im 3))) (sqrt (- im))))) in im * [misc]taylor: Taking taylor expansion of (* 1/8 (* (sqrt im) (/ 1 (pow (sqrt (- im)) 3)))) in im * [misc]taylor: Taking taylor expansion of 1/8 in im * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (* (sqrt im) (/ 1 (pow (sqrt (- im)) 3))) in im * [misc]taylor: Taking taylor expansion of (sqrt im) in im * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (sqrt (- im)) 3)) in im * [misc]taylor: Taking taylor expansion of (pow (sqrt (- im)) 3) in im * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (sqrt (- im))))) in im * [misc]taylor: Taking taylor expansion of (* 3 (log (sqrt (- im)))) in im * [misc]taylor: Taking taylor expansion of 3 in im * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (sqrt (- im))) in im * [misc]taylor: Taking taylor expansion of (sqrt (- 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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (log +nan.0) into (log +nan.0) * [misc]backup-simplify: Simplify (+ (* (- -1) (log im)) (log +nan.0)) into (+ (log im) (log +nan.0)) * [misc]backup-simplify: Simplify (* 3 (+ (log im) (log +nan.0))) into (* 3 (+ (log im) (log +nan.0))) * [misc]backup-simplify: Simplify (exp (* 3 (+ (log im) (log +nan.0)))) into (exp (* 3 (+ (log im) (log +nan.0)))) * [misc]backup-simplify: Simplify (/ 1 (exp (* 3 (+ (log im) (log +nan.0))))) into (/ 1 (exp (* 3 (+ (log im) (log +nan.0))))) * [misc]taylor: Taking taylor expansion of (* 1/8 (* (sqrt (/ 1 (pow im 3))) (sqrt (- im)))) in im * [misc]taylor: Taking taylor expansion of 1/8 in im * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 (pow im 3))) (sqrt (- im))) in im * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im * [misc]taylor: Taking taylor expansion of (/ 1 (pow im 3)) in im * [misc]taylor: Taking taylor expansion of (pow im 3) in im * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (- 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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr +nan.0) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr +nan.0) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ (* 0 (- +nan.0)) (+ (* +nan.0 (- +nan.0)) (* +nan.0 +nan.0))) into (- +nan.0) * [misc]backup-simplify: Simplify (+ (* 0 (- +nan.0)) (* +nan.0 +nan.0)) into (- +nan.0) * [misc]backup-simplify: Simplify (* 0 +nan.0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 (- +nan.0)) (+ (* 0 (- +nan.0)) (* 0 0))) into (- +nan.0) * [misc]backup-simplify: Simplify (* 0 (/ 1 (exp (* 3 (+ (log im) (log +nan.0)))))) into 0 * [misc]backup-simplify: Simplify (* 1/8 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr +nan.0) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr +nan.0) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0) * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/8 (- +nan.0)) (+ (* 0 0) (* 0 0))) into (- +nan.0) * [misc]backup-simplify: Simplify (+ 0 (- +nan.0)) into (- +nan.0) * [misc]backup-simplify: Simplify (- (- +nan.0)) into (- +nan.0) * [misc]backup-simplify: Simplify (+ (- +nan.0) (- +nan.0)) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr +nan.0) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr +nan.0) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0) * [misc]backup-simplify: Simplify (+ (* 1/2 (- +nan.0)) (+ (* 0 0) (* 0 0))) into (- +nan.0) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) * [misc]backup-simplify: Simplify (/ (- 0 (sqr +nan.0) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ (* 0 (- +nan.0)) (+ (* +nan.0 (- +nan.0)) (* +nan.0 +nan.0))) into (- +nan.0) * [misc]backup-simplify: Simplify (+ (* 1/2 (- +nan.0)) (+ (* 0 (- +nan.0)) (* 0 0))) into (- +nan.0) * [misc]backup-simplify: Simplify (+ (- +nan.0) (- +nan.0)) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ (* (- +nan.0) (* im re)) (+ (* (- +nan.0) (sqr (* 1 re))) (* (- +nan.0) (* 1 re)))) into (- (+ (* +nan.0 (* im re)) (- (+ (* +nan.0 (sqr re)) (- (* +nan.0 re)))))) * [misc]approximate: Taking taylor expansion of (* (sqrt (+ (/ 1 re) (/ 1 im))) (sqrt (- (/ 1 re) (/ 1 im)))) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (+ (/ 1 re) (/ 1 im))) (sqrt (- (/ 1 re) (/ 1 im)))) in im * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 re) (/ 1 im))) in im * [misc]taylor: Taking taylor expansion of (+ (/ 1 re) (/ 1 im)) 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 im) in im * [misc]taylor: Taking 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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (- (/ 1 re) (/ 1 im))) in im * [misc]taylor: Taking taylor expansion of (- (/ 1 re) (/ 1 im)) 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 im) in im * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (* (sqrt (+ (/ 1 re) (/ 1 im))) (sqrt (- (/ 1 re) (/ 1 im)))) in re * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 re) (/ 1 im))) in re * [misc]taylor: Taking taylor expansion of (+ (/ 1 re) (/ 1 im)) 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 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 0) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (- (/ 1 re) (/ 1 im))) in re * [misc]taylor: Taking taylor expansion of (- (/ 1 re) (/ 1 im)) 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 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 0) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (* (sqrt (+ (/ 1 re) (/ 1 im))) (sqrt (- (/ 1 re) (/ 1 im)))) in re * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 re) (/ 1 im))) in re * [misc]taylor: Taking taylor expansion of (+ (/ 1 re) (/ 1 im)) 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 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 0) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (- (/ 1 re) (/ 1 im))) in re * [misc]taylor: Taking taylor expansion of (- (/ 1 re) (/ 1 im)) 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 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 0) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 im)) into (- (/ 1 im)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 im))) into (- (/ 1 im)) * [misc]backup-simplify: Simplify (/ (- (- (/ 1 im)) (sqr +nan.0) (+)) (* 2 0)) into (* +nan.0 (+ +nan.0 (/ 1 im))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 im)) into (/ 1 im) * [misc]backup-simplify: Simplify (/ (- (/ 1 im) (sqr +nan.0) (+)) (* 2 0)) into (* +nan.0 (- (/ 1 im) +nan.0)) * [misc]backup-simplify: Simplify (+ (* 0 (* +nan.0 (+ +nan.0 (/ 1 im)))) (+ (* +nan.0 +nan.0) (* (* +nan.0 (- (/ 1 im) +nan.0)) 0))) into (- +nan.0) * [misc]taylor: Taking taylor expansion of (- +nan.0) in im * [misc]taylor: Taking taylor expansion of +nan.0 in im * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (+ +nan.0 (/ 1 im))))))) (* 2 0)) into (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 im))))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (- (/ 1 im) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 im))))) * [misc]backup-simplify: Simplify (+ (* 0 (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 im)))))) (+ (* +nan.0 (* +nan.0 (+ +nan.0 (/ 1 im)))) (+ (* (* +nan.0 (- (/ 1 im) +nan.0)) +nan.0) (* (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 im))))) 0)))) into (- (+ +nan.0 (- (* +nan.0 (/ 1 im))))) * [misc]taylor: Taking taylor expansion of (- (+ +nan.0 (- (* +nan.0 (/ 1 im))))) in im * [misc]taylor: Taking taylor expansion of (+ +nan.0 (- (* +nan.0 (/ 1 im)))) in im * [misc]taylor: Taking taylor expansion of +nan.0 in im * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 im))) in im * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 im)) in im * [misc]taylor: Taking taylor expansion of +nan.0 in im * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (/ 1 im) in im * [misc]taylor: Taking 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 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 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr (* +nan.0 (+ +nan.0 (/ 1 im)))) (+ (* 2 (* +nan.0 (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 im))))))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (sqr im))) (- (+ +nan.0 (- (* +nan.0 (/ 1 im))))))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr (* +nan.0 (- (/ 1 im) +nan.0))) (+ (* 2 (* +nan.0 (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 im))))))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (sqr im))) (- (+ +nan.0 (- (* +nan.0 (/ 1 im))))))) * [misc]backup-simplify: Simplify (+ (* 0 (* +nan.0 (+ (* +nan.0 (/ 1 (sqr im))) (- (+ +nan.0 (- (* +nan.0 (/ 1 im)))))))) (+ (* +nan.0 (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 im)))))) (+ (* (* +nan.0 (- (/ 1 im) +nan.0)) (* +nan.0 (+ +nan.0 (/ 1 im)))) (+ (* (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 im))))) +nan.0) (* (* +nan.0 (+ (* +nan.0 (/ 1 (sqr im))) (- (+ +nan.0 (- (* +nan.0 (/ 1 im))))))) 0))))) into (- (+ (* +nan.0 (/ 1 (sqr im))) (- (+ +nan.0 (- (* +nan.0 (/ 1 im))))))) * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (sqr im))) (- (+ +nan.0 (- (* +nan.0 (/ 1 im))))))) in im * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (/ 1 (sqr im))) (- (+ +nan.0 (- (* +nan.0 (/ 1 im)))))) in im * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (sqr im))) in im * [misc]taylor: Taking taylor expansion of +nan.0 in im * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (/ 1 (sqr im)) in im * [misc]taylor: Taking taylor expansion of (sqr im) in im * [misc]taylor: Taking 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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (+ +nan.0 (- (* +nan.0 (/ 1 im))))) in im * [misc]taylor: Taking taylor expansion of (+ +nan.0 (- (* +nan.0 (/ 1 im)))) in im * [misc]taylor: Taking taylor expansion of +nan.0 in im * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 im))) in im * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 im)) in im * [misc]taylor: Taking taylor expansion of +nan.0 in im * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (/ 1 im) in im * [misc]taylor: Taking 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 (* +nan.0 1) into +nan.0 * [misc]backup-simplify: Simplify (+ +nan.0 0) into (- +nan.0) * [misc]backup-simplify: Simplify (- (- +nan.0)) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (* +nan.0 1) into +nan.0 * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ 0 (- +nan.0)) into (- +nan.0) * [misc]backup-simplify: Simplify (- (- +nan.0)) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ (- +nan.0) (+ (* (- +nan.0) (* (/ 1 (/ 1 im)) (/ 1 re))) (* (- +nan.0) (sqr (* (/ 1 (/ 1 im)) (/ 1 re)))))) into (- (+ +nan.0 (- (+ (* +nan.0 (/ (sqr im) (sqr re))) (- (* +nan.0 (/ im re))))))) * [misc]approximate: Taking taylor expansion of (* (sqrt (+ (/ 1 (- re)) (/ 1 (- im)))) (sqrt (- (/ 1 (- re)) (/ 1 (- im))))) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (+ (/ 1 (- re)) (/ 1 (- im)))) (sqrt (- (/ 1 (- re)) (/ 1 (- im))))) in im * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 (- re)) (/ 1 (- im)))) in im * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- re)) (/ 1 (- im))) 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 (- 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 (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (- (/ 1 (- re)) (/ 1 (- im)))) in im * [misc]taylor: Taking taylor expansion of (- (/ 1 (- re)) (/ 1 (- im))) 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 (- im)) in im * [misc]taylor: Taking taylor expansion of (- im) in im * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (* (sqrt (+ (/ 1 (- re)) (/ 1 (- im)))) (sqrt (- (/ 1 (- re)) (/ 1 (- im))))) in re * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 (- re)) (/ 1 (- im)))) in re * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- re)) (/ 1 (- im))) 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 (- 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 0) into -1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (- (/ 1 (- re)) (/ 1 (- im)))) in re * [misc]taylor: Taking taylor expansion of (- (/ 1 (- re)) (/ 1 (- im))) 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 (- 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 0) into -1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (* (sqrt (+ (/ 1 (- re)) (/ 1 (- im)))) (sqrt (- (/ 1 (- re)) (/ 1 (- im))))) in re * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 (- re)) (/ 1 (- im)))) in re * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- re)) (/ 1 (- im))) 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 (- 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 0) into -1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (- (/ 1 (- re)) (/ 1 (- im)))) in re * [misc]taylor: Taking taylor expansion of (- (/ 1 (- re)) (/ 1 (- im))) 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 (- 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 0) into -1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ -1 im)) into (/ 1 im) * [misc]backup-simplify: Simplify (+ 0 (/ 1 im)) into (/ 1 im) * [misc]backup-simplify: Simplify (/ (- (/ 1 im) (sqr +nan.0) (+)) (* 2 0)) into (* +nan.0 (- (/ 1 im) +nan.0)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ -1 im)) into (- (/ 1 im)) * [misc]backup-simplify: Simplify (/ (- (- (/ 1 im)) (sqr +nan.0) (+)) (* 2 0)) into (* +nan.0 (+ +nan.0 (/ 1 im))) * [misc]backup-simplify: Simplify (+ (* 0 (* +nan.0 (- (/ 1 im) +nan.0))) (+ (* +nan.0 +nan.0) (* (* +nan.0 (+ +nan.0 (/ 1 im))) 0))) into (- +nan.0) * [misc]taylor: Taking taylor expansion of (- +nan.0) in im * [misc]taylor: Taking taylor expansion of +nan.0 in im * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-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 (- im) into (- im) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (- (/ 1 im) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 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 (/ 0 -1)) (* 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 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (+ +nan.0 (/ 1 im))))))) (* 2 0)) into (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 im))))) * [misc]backup-simplify: Simplify (+ (* 0 (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 im)))))) (+ (* +nan.0 (* +nan.0 (- (/ 1 im) +nan.0))) (+ (* (* +nan.0 (+ +nan.0 (/ 1 im))) +nan.0) (* (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 im))))) 0)))) into (- (+ +nan.0 (- (* +nan.0 (/ 1 im))))) * [misc]taylor: Taking taylor expansion of (- (+ +nan.0 (- (* +nan.0 (/ 1 im))))) in im * [misc]taylor: Taking taylor expansion of (+ +nan.0 (- (* +nan.0 (/ 1 im)))) in im * [misc]taylor: Taking taylor expansion of +nan.0 in im * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 im))) in im * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 im)) in im * [misc]taylor: Taking taylor expansion of +nan.0 in im * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (/ 1 im) in im * [misc]taylor: Taking 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 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 (- im) into (- im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 im) (/ 0 (- im))) (* 0 (/ 0 (- im))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr (* +nan.0 (- (/ 1 im) +nan.0))) (+ (* 2 (* +nan.0 (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 im))))))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (sqr im))) (- (+ +nan.0 (- (* +nan.0 (/ 1 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)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 im) (/ 0 (- im))) (* 0 (/ 0 (- im))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr (* +nan.0 (+ +nan.0 (/ 1 im)))) (+ (* 2 (* +nan.0 (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 im))))))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (sqr im))) (- (+ +nan.0 (- (* +nan.0 (/ 1 im))))))) * [misc]backup-simplify: Simplify (+ (* 0 (* +nan.0 (+ (* +nan.0 (/ 1 (sqr im))) (- (+ +nan.0 (- (* +nan.0 (/ 1 im)))))))) (+ (* +nan.0 (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 im)))))) (+ (* (* +nan.0 (+ +nan.0 (/ 1 im))) (* +nan.0 (- (/ 1 im) +nan.0))) (+ (* (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 im))))) +nan.0) (* (* +nan.0 (+ (* +nan.0 (/ 1 (sqr im))) (- (+ +nan.0 (- (* +nan.0 (/ 1 im))))))) 0))))) into (- (+ (* +nan.0 (/ 1 (sqr im))) (- (+ +nan.0 (- (* +nan.0 (/ 1 im))))))) * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (sqr im))) (- (+ +nan.0 (- (* +nan.0 (/ 1 im))))))) in im * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (/ 1 (sqr im))) (- (+ +nan.0 (- (* +nan.0 (/ 1 im)))))) in im * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (sqr im))) in im * [misc]taylor: Taking taylor expansion of +nan.0 in im * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (/ 1 (sqr im)) in im * [misc]taylor: Taking taylor expansion of (sqr im) in im * [misc]taylor: Taking 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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (+ +nan.0 (- (* +nan.0 (/ 1 im))))) in im * [misc]taylor: Taking taylor expansion of (+ +nan.0 (- (* +nan.0 (/ 1 im)))) in im * [misc]taylor: Taking taylor expansion of +nan.0 in im * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 im))) in im * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 im)) in im * [misc]taylor: Taking taylor expansion of +nan.0 in im * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (/ 1 im) in im * [misc]taylor: Taking 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 (* +nan.0 1) into +nan.0 * [misc]backup-simplify: Simplify (+ +nan.0 0) into (- +nan.0) * [misc]backup-simplify: Simplify (- (- +nan.0)) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (* +nan.0 1) into +nan.0 * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ 0 (- +nan.0)) into (- +nan.0) * [misc]backup-simplify: Simplify (- (- +nan.0)) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ (- +nan.0) (+ (* (- +nan.0) (* (/ 1 (/ 1 (- im))) (/ 1 (- re)))) (* (- +nan.0) (sqr (* (/ 1 (/ 1 (- im))) (/ 1 (- re))))))) into (- (+ +nan.0 (- (+ (* +nan.0 (/ (sqr im) (sqr re))) (- (* +nan.0 (/ im re))))))) * [misc]approximate: Taking taylor expansion of (sqrt (+ re im)) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ re im)) in im * [misc]taylor: Taking taylor expansion of (+ re im) in im * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]taylor: Taking 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 0) into re * [misc]backup-simplify: Simplify (sqrt re) into (sqrt re) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt re))) into (* 1/2 (sqrt (/ 1 re))) * [misc]taylor: Taking taylor expansion of (sqrt (+ re im)) in re * [misc]taylor: Taking taylor expansion of (+ re im) in re * [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 in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (+ 0 im) into im * [misc]backup-simplify: Simplify (sqrt im) into (sqrt im) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im))) * [misc]taylor: Taking taylor expansion of (sqrt (+ re im)) in re * [misc]taylor: Taking taylor expansion of (+ re im) in re * [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 in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (+ 0 im) into im * [misc]backup-simplify: Simplify (sqrt im) into (sqrt im) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im))) * [misc]taylor: Taking taylor expansion of (sqrt im) in im * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of (* 1/2 (sqrt (/ 1 im))) in im * [misc]taylor: Taking taylor expansion of 1/2 in im * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 im)) in im * [misc]taylor: Taking taylor expansion of (/ 1 im) in im * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (+ (* 1/2 +nan.0) (* 0 0)) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr (* 1/2 (sqrt (/ 1 im)))) (+)) (* 2 (sqrt im))) into (* -1/8 (sqrt (/ 1 (pow im 3)))) * [misc]taylor: Taking taylor expansion of (* -1/8 (sqrt (/ 1 (pow im 3)))) in im * [misc]taylor: Taking taylor expansion of -1/8 in im * [misc]backup-simplify: Simplify -1/8 into -1/8 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im * [misc]taylor: Taking taylor expansion of (/ 1 (pow im 3)) in im * [misc]taylor: Taking taylor expansion of (pow im 3) in im * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr +nan.0) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ (* -1/8 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ (* (- +nan.0) (sqr (* 1 re))) (+ (* +nan.0 (* im 1)) (* (- +nan.0) (* 1 re)))) into (- (+ (* +nan.0 im) (- (+ (* +nan.0 (sqr re)) (- (* +nan.0 re)))))) * [misc]approximate: Taking taylor expansion of (sqrt (+ (/ 1 re) (/ 1 im))) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 re) (/ 1 im))) in im * [misc]taylor: Taking taylor expansion of (+ (/ 1 re) (/ 1 im)) 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 im) in im * [misc]taylor: Taking 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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 re) (/ 1 im))) in re * [misc]taylor: Taking taylor expansion of (+ (/ 1 re) (/ 1 im)) 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 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 0) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 re) (/ 1 im))) in re * [misc]taylor: Taking taylor expansion of (+ (/ 1 re) (/ 1 im)) 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 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 0) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of +nan.0 in im * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 im)) into (/ 1 im) * [misc]backup-simplify: Simplify (/ (- (/ 1 im) (sqr +nan.0) (+)) (* 2 0)) into (* +nan.0 (- (/ 1 im) +nan.0)) * [misc]taylor: Taking taylor expansion of (* +nan.0 (- (/ 1 im) +nan.0)) in im * [misc]taylor: Taking taylor expansion of +nan.0 in im * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (- (/ 1 im) +nan.0) 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 +nan.0 in im * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* +nan.0 1) into +nan.0 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (- (/ 1 im) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 im))))) * [misc]taylor: Taking taylor expansion of (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 im))))) in im * [misc]taylor: Taking taylor expansion of +nan.0 in im * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (+ +nan.0 (- (* +nan.0 (/ 1 im)))) in im * [misc]taylor: Taking taylor expansion of +nan.0 in im * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 im))) in im * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 im)) in im * [misc]taylor: Taking taylor expansion of +nan.0 in im * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (/ 1 im) in im * [misc]taylor: Taking 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 (* +nan.0 1) into +nan.0 * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ 0 (- +nan.0)) into (- +nan.0) * [misc]backup-simplify: Simplify (* +nan.0 (- +nan.0)) into +nan.0 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify (+ (* +nan.0 (* (/ 1 (/ 1 im)) (sqr (/ 1 re)))) (+ +nan.0 (* +nan.0 (* (/ 1 (/ 1 im)) (/ 1 re))))) into (- (+ (* +nan.0 (/ im (sqr re))) (- (+ +nan.0 (- (* +nan.0 (/ im re))))))) * [misc]approximate: Taking taylor expansion of (sqrt (+ (/ 1 (- re)) (/ 1 (- im)))) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 (- re)) (/ 1 (- im)))) in im * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- re)) (/ 1 (- im))) 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 (- 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 (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 (- re)) (/ 1 (- im)))) in re * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- re)) (/ 1 (- im))) 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 (- 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 0) into -1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 (- re)) (/ 1 (- im)))) in re * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- re)) (/ 1 (- im))) 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 (- 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 0) into -1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of +nan.0 in im * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ -1 im)) into (- (/ 1 im)) * [misc]backup-simplify: Simplify (/ (- (- (/ 1 im)) (sqr +nan.0) (+)) (* 2 0)) into (* +nan.0 (+ +nan.0 (/ 1 im))) * [misc]taylor: Taking taylor expansion of (* +nan.0 (+ +nan.0 (/ 1 im))) in im * [misc]taylor: Taking taylor expansion of +nan.0 in im * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (+ +nan.0 (/ 1 im)) in im * [misc]taylor: Taking taylor expansion of +nan.0 in im * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (/ 1 im) in im * [misc]taylor: Taking 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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* +nan.0 1) into +nan.0 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify 0 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 (- im) into (- im) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (+ +nan.0 (/ 1 im))))))) (* 2 0)) into (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 im))))) * [misc]taylor: Taking taylor expansion of (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 im))))) in im * [misc]taylor: Taking taylor expansion of +nan.0 in im * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (+ +nan.0 (- (* +nan.0 (/ 1 im)))) in im * [misc]taylor: Taking taylor expansion of +nan.0 in im * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 im))) in im * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 im)) in im * [misc]taylor: Taking taylor expansion of +nan.0 in im * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (/ 1 im) in im * [misc]taylor: Taking 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 (* +nan.0 1) into +nan.0 * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ 0 (- +nan.0)) into (- +nan.0) * [misc]backup-simplify: Simplify (* +nan.0 (- +nan.0)) into +nan.0 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify (+ (* +nan.0 (* (/ 1 (/ 1 (- im))) (sqr (/ 1 (- re))))) (+ +nan.0 (* +nan.0 (* (/ 1 (/ 1 (- im))) (/ 1 (- re)))))) into (- (+ (* +nan.0 (/ im (sqr re))) (- (+ +nan.0 (- (* +nan.0 (/ im re))))))) * * * [misc]progress: tayloring alt 2 of 2 * [misc]approximate: Taking taylor expansion of (cbrt (sqrt (+ re im))) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (+ re im))) in im * [misc]backup-simplify: Simplify (cbrt (sqrt (+ re im))) into (cbrt (sqrt (+ im re))) * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (+ re im))) in re * [misc]backup-simplify: Simplify (cbrt (sqrt (+ re im))) into (cbrt (sqrt (+ im re))) * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (+ re im))) in re * [misc]backup-simplify: Simplify (cbrt (sqrt (+ re im))) into (cbrt (sqrt (+ im re))) * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (+ im re))) in im * [misc]backup-simplify: Simplify (cbrt (sqrt (+ im re))) into (cbrt (sqrt (+ im re))) * [misc]backup-simplify: Simplify (cbrt (sqrt (+ im re))) into (cbrt (sqrt (+ im re))) * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (cbrt (sqrt (+ im re))) into (cbrt (sqrt (+ im re))) * [misc]approximate: Taking taylor expansion of (cbrt (sqrt (+ (/ 1 re) (/ 1 im)))) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (+ (/ 1 re) (/ 1 im)))) in im * [misc]backup-simplify: Simplify (cbrt (sqrt (+ (/ 1 re) (/ 1 im)))) into (cbrt (sqrt (+ (/ 1 re) (/ 1 im)))) * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (+ (/ 1 re) (/ 1 im)))) in re * [misc]backup-simplify: Simplify (cbrt (sqrt (+ (/ 1 re) (/ 1 im)))) into (cbrt (sqrt (+ (/ 1 re) (/ 1 im)))) * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (+ (/ 1 re) (/ 1 im)))) in re * [misc]backup-simplify: Simplify (cbrt (sqrt (+ (/ 1 re) (/ 1 im)))) into (cbrt (sqrt (+ (/ 1 re) (/ 1 im)))) * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (+ (/ 1 re) (/ 1 im)))) in im * [misc]backup-simplify: Simplify (cbrt (sqrt (+ (/ 1 re) (/ 1 im)))) into (cbrt (sqrt (+ (/ 1 re) (/ 1 im)))) * [misc]backup-simplify: Simplify (cbrt (sqrt (+ (/ 1 re) (/ 1 im)))) into (cbrt (sqrt (+ (/ 1 re) (/ 1 im)))) * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (cbrt (sqrt (+ (/ 1 re) (/ 1 im)))) into (cbrt (sqrt (+ (/ 1 re) (/ 1 im)))) * [misc]approximate: Taking taylor expansion of (cbrt (sqrt (+ (/ 1 (- re)) (/ 1 (- im))))) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (+ (/ 1 (- re)) (/ 1 (- im))))) in im * [misc]backup-simplify: Simplify (cbrt (sqrt (+ (/ 1 (- re)) (/ 1 (- im))))) into (cbrt (sqrt (- (+ (/ 1 re) (/ 1 im))))) * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (+ (/ 1 (- re)) (/ 1 (- im))))) in re * [misc]backup-simplify: Simplify (cbrt (sqrt (+ (/ 1 (- re)) (/ 1 (- im))))) into (cbrt (sqrt (- (+ (/ 1 re) (/ 1 im))))) * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (+ (/ 1 (- re)) (/ 1 (- im))))) in re * [misc]backup-simplify: Simplify (cbrt (sqrt (+ (/ 1 (- re)) (/ 1 (- im))))) into (cbrt (sqrt (- (+ (/ 1 re) (/ 1 im))))) * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (- (+ (/ 1 re) (/ 1 im))))) in im * [misc]backup-simplify: Simplify (cbrt (sqrt (- (+ (/ 1 re) (/ 1 im))))) into (cbrt (sqrt (- (+ (/ 1 re) (/ 1 im))))) * [misc]backup-simplify: Simplify (cbrt (sqrt (- (+ (/ 1 re) (/ 1 im))))) into (cbrt (sqrt (- (+ (/ 1 re) (/ 1 im))))) * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (cbrt (sqrt (- (+ (/ 1 re) (/ 1 im))))) into (cbrt (sqrt (- (+ (/ 1 re) (/ 1 im))))) * [misc]approximate: Taking taylor expansion of (cbrt (sqrt (- re im))) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (- re im))) in im * [misc]backup-simplify: Simplify (cbrt (sqrt (- re im))) into (cbrt (sqrt (- re im))) * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (- re im))) in re * [misc]backup-simplify: Simplify (cbrt (sqrt (- re im))) into (cbrt (sqrt (- re im))) * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (- re im))) in re * [misc]backup-simplify: Simplify (cbrt (sqrt (- re im))) into (cbrt (sqrt (- re im))) * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (- re im))) in im * [misc]backup-simplify: Simplify (cbrt (sqrt (- re im))) into (cbrt (sqrt (- re im))) * [misc]backup-simplify: Simplify (cbrt (sqrt (- re im))) into (cbrt (sqrt (- re im))) * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (cbrt (sqrt (- re im))) into (cbrt (sqrt (- re im))) * [misc]approximate: Taking taylor expansion of (cbrt (sqrt (- (/ 1 re) (/ 1 im)))) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (- (/ 1 re) (/ 1 im)))) in im * [misc]backup-simplify: Simplify (cbrt (sqrt (- (/ 1 re) (/ 1 im)))) into (cbrt (sqrt (- (/ 1 re) (/ 1 im)))) * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (- (/ 1 re) (/ 1 im)))) in re * [misc]backup-simplify: Simplify (cbrt (sqrt (- (/ 1 re) (/ 1 im)))) into (cbrt (sqrt (- (/ 1 re) (/ 1 im)))) * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (- (/ 1 re) (/ 1 im)))) in re * [misc]backup-simplify: Simplify (cbrt (sqrt (- (/ 1 re) (/ 1 im)))) into (cbrt (sqrt (- (/ 1 re) (/ 1 im)))) * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (- (/ 1 re) (/ 1 im)))) in im * [misc]backup-simplify: Simplify (cbrt (sqrt (- (/ 1 re) (/ 1 im)))) into (cbrt (sqrt (- (/ 1 re) (/ 1 im)))) * [misc]backup-simplify: Simplify (cbrt (sqrt (- (/ 1 re) (/ 1 im)))) into (cbrt (sqrt (- (/ 1 re) (/ 1 im)))) * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (cbrt (sqrt (- (/ 1 re) (/ 1 im)))) into (cbrt (sqrt (- (/ 1 re) (/ 1 im)))) * [misc]approximate: Taking taylor expansion of (cbrt (sqrt (- (/ 1 (- re)) (/ 1 (- im))))) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (- (/ 1 (- re)) (/ 1 (- im))))) in im * [misc]backup-simplify: Simplify (cbrt (sqrt (- (/ 1 (- re)) (/ 1 (- im))))) into (cbrt (sqrt (- (/ 1 im) (/ 1 re)))) * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (- (/ 1 (- re)) (/ 1 (- im))))) in re * [misc]backup-simplify: Simplify (cbrt (sqrt (- (/ 1 (- re)) (/ 1 (- im))))) into (cbrt (sqrt (- (/ 1 im) (/ 1 re)))) * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (- (/ 1 (- re)) (/ 1 (- im))))) in re * [misc]backup-simplify: Simplify (cbrt (sqrt (- (/ 1 (- re)) (/ 1 (- im))))) into (cbrt (sqrt (- (/ 1 im) (/ 1 re)))) * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (- (/ 1 im) (/ 1 re)))) in im * [misc]backup-simplify: Simplify (cbrt (sqrt (- (/ 1 im) (/ 1 re)))) into (cbrt (sqrt (- (/ 1 im) (/ 1 re)))) * [misc]backup-simplify: Simplify (cbrt (sqrt (- (/ 1 im) (/ 1 re)))) into (cbrt (sqrt (- (/ 1 im) (/ 1 re)))) * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (cbrt (sqrt (- (/ 1 im) (/ 1 re)))) into (cbrt (sqrt (- (/ 1 im) (/ 1 re)))) * [misc]approximate: Taking taylor expansion of (cube (* (cbrt (sqrt (+ re im))) (cbrt (sqrt (- re im))))) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (cube (* (cbrt (sqrt (+ re im))) (cbrt (sqrt (- re im))))) in im * [misc]backup-simplify: Simplify (cube (* (cbrt (sqrt (+ re im))) (cbrt (sqrt (- re im))))) into (cube (* (cbrt (sqrt (+ im re))) (cbrt (sqrt (- re im))))) * [misc]taylor: Taking taylor expansion of (cube (* (cbrt (sqrt (+ re im))) (cbrt (sqrt (- re im))))) in re * [misc]backup-simplify: Simplify (cube (* (cbrt (sqrt (+ re im))) (cbrt (sqrt (- re im))))) into (cube (* (cbrt (sqrt (+ im re))) (cbrt (sqrt (- re im))))) * [misc]taylor: Taking taylor expansion of (cube (* (cbrt (sqrt (+ re im))) (cbrt (sqrt (- re im))))) in re * [misc]backup-simplify: Simplify (cube (* (cbrt (sqrt (+ re im))) (cbrt (sqrt (- re im))))) into (cube (* (cbrt (sqrt (+ im re))) (cbrt (sqrt (- re im))))) * [misc]taylor: Taking taylor expansion of (cube (* (cbrt (sqrt (+ im re))) (cbrt (sqrt (- re im))))) in im * [misc]backup-simplify: Simplify (cube (* (cbrt (sqrt (+ im re))) (cbrt (sqrt (- re im))))) into (cube (* (cbrt (sqrt (+ im re))) (cbrt (sqrt (- re im))))) * [misc]backup-simplify: Simplify (cube (* (cbrt (sqrt (+ im re))) (cbrt (sqrt (- re im))))) into (cube (* (cbrt (sqrt (+ im re))) (cbrt (sqrt (- re im))))) * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (cube (* (cbrt (sqrt (+ im re))) (cbrt (sqrt (- re im))))) into (cube (* (cbrt (sqrt (+ im re))) (cbrt (sqrt (- re im))))) * [misc]approximate: Taking taylor expansion of (cube (* (cbrt (sqrt (+ (/ 1 re) (/ 1 im)))) (cbrt (sqrt (- (/ 1 re) (/ 1 im)))))) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (cube (* (cbrt (sqrt (+ (/ 1 re) (/ 1 im)))) (cbrt (sqrt (- (/ 1 re) (/ 1 im)))))) in im * [misc]backup-simplify: Simplify (cube (* (cbrt (sqrt (+ (/ 1 re) (/ 1 im)))) (cbrt (sqrt (- (/ 1 re) (/ 1 im)))))) into (cube (* (cbrt (sqrt (+ (/ 1 re) (/ 1 im)))) (cbrt (sqrt (- (/ 1 re) (/ 1 im)))))) * [misc]taylor: Taking taylor expansion of (cube (* (cbrt (sqrt (+ (/ 1 re) (/ 1 im)))) (cbrt (sqrt (- (/ 1 re) (/ 1 im)))))) in re * [misc]backup-simplify: Simplify (cube (* (cbrt (sqrt (+ (/ 1 re) (/ 1 im)))) (cbrt (sqrt (- (/ 1 re) (/ 1 im)))))) into (cube (* (cbrt (sqrt (+ (/ 1 re) (/ 1 im)))) (cbrt (sqrt (- (/ 1 re) (/ 1 im)))))) * [misc]taylor: Taking taylor expansion of (cube (* (cbrt (sqrt (+ (/ 1 re) (/ 1 im)))) (cbrt (sqrt (- (/ 1 re) (/ 1 im)))))) in re * [misc]backup-simplify: Simplify (cube (* (cbrt (sqrt (+ (/ 1 re) (/ 1 im)))) (cbrt (sqrt (- (/ 1 re) (/ 1 im)))))) into (cube (* (cbrt (sqrt (+ (/ 1 re) (/ 1 im)))) (cbrt (sqrt (- (/ 1 re) (/ 1 im)))))) * [misc]taylor: Taking taylor expansion of (cube (* (cbrt (sqrt (+ (/ 1 re) (/ 1 im)))) (cbrt (sqrt (- (/ 1 re) (/ 1 im)))))) in im * [misc]backup-simplify: Simplify (cube (* (cbrt (sqrt (+ (/ 1 re) (/ 1 im)))) (cbrt (sqrt (- (/ 1 re) (/ 1 im)))))) into (cube (* (cbrt (sqrt (+ (/ 1 re) (/ 1 im)))) (cbrt (sqrt (- (/ 1 re) (/ 1 im)))))) * [misc]backup-simplify: Simplify (cube (* (cbrt (sqrt (+ (/ 1 re) (/ 1 im)))) (cbrt (sqrt (- (/ 1 re) (/ 1 im)))))) into (cube (* (cbrt (sqrt (+ (/ 1 re) (/ 1 im)))) (cbrt (sqrt (- (/ 1 re) (/ 1 im)))))) * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (cube (* (cbrt (sqrt (+ (/ 1 re) (/ 1 im)))) (cbrt (sqrt (- (/ 1 re) (/ 1 im)))))) into (cube (* (cbrt (sqrt (+ (/ 1 re) (/ 1 im)))) (cbrt (sqrt (- (/ 1 re) (/ 1 im)))))) * [misc]approximate: Taking taylor expansion of (cube (* (cbrt (sqrt (+ (/ 1 (- re)) (/ 1 (- im))))) (cbrt (sqrt (- (/ 1 (- re)) (/ 1 (- im))))))) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (cube (* (cbrt (sqrt (+ (/ 1 (- re)) (/ 1 (- im))))) (cbrt (sqrt (- (/ 1 (- re)) (/ 1 (- im))))))) in im * [misc]backup-simplify: Simplify (cube (* (cbrt (sqrt (+ (/ 1 (- re)) (/ 1 (- im))))) (cbrt (sqrt (- (/ 1 (- re)) (/ 1 (- im))))))) into (cube (* (cbrt (sqrt (- (+ (/ 1 re) (/ 1 im))))) (cbrt (sqrt (- (/ 1 im) (/ 1 re)))))) * [misc]taylor: Taking taylor expansion of (cube (* (cbrt (sqrt (+ (/ 1 (- re)) (/ 1 (- im))))) (cbrt (sqrt (- (/ 1 (- re)) (/ 1 (- im))))))) in re * [misc]backup-simplify: Simplify (cube (* (cbrt (sqrt (+ (/ 1 (- re)) (/ 1 (- im))))) (cbrt (sqrt (- (/ 1 (- re)) (/ 1 (- im))))))) into (cube (* (cbrt (sqrt (- (+ (/ 1 re) (/ 1 im))))) (cbrt (sqrt (- (/ 1 im) (/ 1 re)))))) * [misc]taylor: Taking taylor expansion of (cube (* (cbrt (sqrt (+ (/ 1 (- re)) (/ 1 (- im))))) (cbrt (sqrt (- (/ 1 (- re)) (/ 1 (- im))))))) in re * [misc]backup-simplify: Simplify (cube (* (cbrt (sqrt (+ (/ 1 (- re)) (/ 1 (- im))))) (cbrt (sqrt (- (/ 1 (- re)) (/ 1 (- im))))))) into (cube (* (cbrt (sqrt (- (+ (/ 1 re) (/ 1 im))))) (cbrt (sqrt (- (/ 1 im) (/ 1 re)))))) * [misc]taylor: Taking taylor expansion of (cube (* (cbrt (sqrt (- (+ (/ 1 re) (/ 1 im))))) (cbrt (sqrt (- (/ 1 im) (/ 1 re)))))) in im * [misc]backup-simplify: Simplify (cube (* (cbrt (sqrt (- (+ (/ 1 re) (/ 1 im))))) (cbrt (sqrt (- (/ 1 im) (/ 1 re)))))) into (cube (* (cbrt (sqrt (- (+ (/ 1 re) (/ 1 im))))) (cbrt (sqrt (- (/ 1 im) (/ 1 re)))))) * [misc]backup-simplify: Simplify (cube (* (cbrt (sqrt (- (+ (/ 1 re) (/ 1 im))))) (cbrt (sqrt (- (/ 1 im) (/ 1 re)))))) into (cube (* (cbrt (sqrt (- (+ (/ 1 re) (/ 1 im))))) (cbrt (sqrt (- (/ 1 im) (/ 1 re)))))) * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (cube (* (cbrt (sqrt (- (+ (/ 1 re) (/ 1 im))))) (cbrt (sqrt (- (/ 1 im) (/ 1 re)))))) into (cube (* (cbrt (sqrt (- (+ (/ 1 re) (/ 1 im))))) (cbrt (sqrt (- (/ 1 im) (/ 1 re)))))) * [misc]approximate: Taking taylor expansion of (* (cbrt (sqrt (+ re im))) (cbrt (sqrt (- re im)))) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (* (cbrt (sqrt (+ re im))) (cbrt (sqrt (- re im)))) in im * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (+ re im))) in im * [misc]backup-simplify: Simplify (cbrt (sqrt (+ re im))) into (cbrt (sqrt (+ im re))) * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (- re im))) in im * [misc]backup-simplify: Simplify (cbrt (sqrt (- re im))) into (cbrt (sqrt (- re im))) * [misc]taylor: Taking taylor expansion of (* (cbrt (sqrt (+ re im))) (cbrt (sqrt (- re im)))) in re * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (+ re im))) in re * [misc]backup-simplify: Simplify (cbrt (sqrt (+ re im))) into (cbrt (sqrt (+ im re))) * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (- re im))) in re * [misc]backup-simplify: Simplify (cbrt (sqrt (- re im))) into (cbrt (sqrt (- re im))) * [misc]taylor: Taking taylor expansion of (* (cbrt (sqrt (+ re im))) (cbrt (sqrt (- re im)))) in re * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (+ re im))) in re * [misc]backup-simplify: Simplify (cbrt (sqrt (+ re im))) into (cbrt (sqrt (+ im re))) * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (- re im))) in re * [misc]backup-simplify: Simplify (cbrt (sqrt (- re im))) into (cbrt (sqrt (- re im))) * [misc]backup-simplify: Simplify (* (cbrt (sqrt (+ im re))) (cbrt (sqrt (- re im)))) into (* (cbrt (sqrt (+ im re))) (cbrt (sqrt (- re im)))) * [misc]taylor: Taking taylor expansion of (* (cbrt (sqrt (+ im re))) (cbrt (sqrt (- re im)))) in im * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (+ im re))) in im * [misc]backup-simplify: Simplify (cbrt (sqrt (+ im re))) into (cbrt (sqrt (+ im re))) * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (- re im))) in im * [misc]backup-simplify: Simplify (cbrt (sqrt (- re im))) into (cbrt (sqrt (- re im))) * [misc]backup-simplify: Simplify (* (cbrt (sqrt (+ im re))) (cbrt (sqrt (- re im)))) into (* (cbrt (sqrt (+ im re))) (cbrt (sqrt (- re im)))) * [misc]backup-simplify: Simplify (* (cbrt (sqrt (+ im re))) (cbrt (sqrt (- re im)))) into (* (cbrt (sqrt (+ im re))) (cbrt (sqrt (- re im)))) * [misc]backup-simplify: Simplify (+ (* (cbrt (sqrt (+ im re))) 0) (* 0 (cbrt (sqrt (- re 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 (+ (* (cbrt (sqrt (+ im re))) 0) (* 0 (cbrt (sqrt (- re im))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (cbrt (sqrt (+ im re))) 0) (+ (* 0 0) (* 0 (cbrt (sqrt (- re im)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (cbrt (sqrt (+ im re))) 0) (+ (* 0 0) (* 0 (cbrt (sqrt (- re im)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (cbrt (sqrt (+ im re))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt (sqrt (- re 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 (* (cbrt (sqrt (+ im re))) (cbrt (sqrt (- re im)))) into (* (cbrt (sqrt (+ im re))) (cbrt (sqrt (- re im)))) * [misc]approximate: Taking taylor expansion of (* (cbrt (sqrt (+ (/ 1 re) (/ 1 im)))) (cbrt (sqrt (- (/ 1 re) (/ 1 im))))) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (* (cbrt (sqrt (+ (/ 1 re) (/ 1 im)))) (cbrt (sqrt (- (/ 1 re) (/ 1 im))))) in im * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (+ (/ 1 re) (/ 1 im)))) in im * [misc]backup-simplify: Simplify (cbrt (sqrt (+ (/ 1 re) (/ 1 im)))) into (cbrt (sqrt (+ (/ 1 re) (/ 1 im)))) * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (- (/ 1 re) (/ 1 im)))) in im * [misc]backup-simplify: Simplify (cbrt (sqrt (- (/ 1 re) (/ 1 im)))) into (cbrt (sqrt (- (/ 1 re) (/ 1 im)))) * [misc]taylor: Taking taylor expansion of (* (cbrt (sqrt (+ (/ 1 re) (/ 1 im)))) (cbrt (sqrt (- (/ 1 re) (/ 1 im))))) in re * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (+ (/ 1 re) (/ 1 im)))) in re * [misc]backup-simplify: Simplify (cbrt (sqrt (+ (/ 1 re) (/ 1 im)))) into (cbrt (sqrt (+ (/ 1 re) (/ 1 im)))) * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (- (/ 1 re) (/ 1 im)))) in re * [misc]backup-simplify: Simplify (cbrt (sqrt (- (/ 1 re) (/ 1 im)))) into (cbrt (sqrt (- (/ 1 re) (/ 1 im)))) * [misc]taylor: Taking taylor expansion of (* (cbrt (sqrt (+ (/ 1 re) (/ 1 im)))) (cbrt (sqrt (- (/ 1 re) (/ 1 im))))) in re * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (+ (/ 1 re) (/ 1 im)))) in re * [misc]backup-simplify: Simplify (cbrt (sqrt (+ (/ 1 re) (/ 1 im)))) into (cbrt (sqrt (+ (/ 1 re) (/ 1 im)))) * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (- (/ 1 re) (/ 1 im)))) in re * [misc]backup-simplify: Simplify (cbrt (sqrt (- (/ 1 re) (/ 1 im)))) into (cbrt (sqrt (- (/ 1 re) (/ 1 im)))) * [misc]backup-simplify: Simplify (* (cbrt (sqrt (+ (/ 1 re) (/ 1 im)))) (cbrt (sqrt (- (/ 1 re) (/ 1 im))))) into (* (cbrt (sqrt (+ (/ 1 re) (/ 1 im)))) (cbrt (sqrt (- (/ 1 re) (/ 1 im))))) * [misc]taylor: Taking taylor expansion of (* (cbrt (sqrt (+ (/ 1 re) (/ 1 im)))) (cbrt (sqrt (- (/ 1 re) (/ 1 im))))) in im * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (+ (/ 1 re) (/ 1 im)))) in im * [misc]backup-simplify: Simplify (cbrt (sqrt (+ (/ 1 re) (/ 1 im)))) into (cbrt (sqrt (+ (/ 1 re) (/ 1 im)))) * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (- (/ 1 re) (/ 1 im)))) in im * [misc]backup-simplify: Simplify (cbrt (sqrt (- (/ 1 re) (/ 1 im)))) into (cbrt (sqrt (- (/ 1 re) (/ 1 im)))) * [misc]backup-simplify: Simplify (* (cbrt (sqrt (+ (/ 1 re) (/ 1 im)))) (cbrt (sqrt (- (/ 1 re) (/ 1 im))))) into (* (cbrt (sqrt (+ (/ 1 re) (/ 1 im)))) (cbrt (sqrt (- (/ 1 re) (/ 1 im))))) * [misc]backup-simplify: Simplify (* (cbrt (sqrt (+ (/ 1 re) (/ 1 im)))) (cbrt (sqrt (- (/ 1 re) (/ 1 im))))) into (* (cbrt (sqrt (+ (/ 1 re) (/ 1 im)))) (cbrt (sqrt (- (/ 1 re) (/ 1 im))))) * [misc]backup-simplify: Simplify (+ (* (cbrt (sqrt (+ (/ 1 re) (/ 1 im)))) 0) (* 0 (cbrt (sqrt (- (/ 1 re) (/ 1 im)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (cbrt (sqrt (+ (/ 1 re) (/ 1 im)))) 0) (* 0 (cbrt (sqrt (- (/ 1 re) (/ 1 im)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (cbrt (sqrt (+ (/ 1 re) (/ 1 im)))) 0) (+ (* 0 0) (* 0 (cbrt (sqrt (- (/ 1 re) (/ 1 im))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (cbrt (sqrt (+ (/ 1 re) (/ 1 im)))) 0) (+ (* 0 0) (* 0 (cbrt (sqrt (- (/ 1 re) (/ 1 im))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (cbrt (sqrt (+ (/ 1 re) (/ 1 im)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt (sqrt (- (/ 1 re) (/ 1 im)))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (cbrt (sqrt (+ (/ 1 re) (/ 1 im)))) (cbrt (sqrt (- (/ 1 re) (/ 1 im))))) into (* (cbrt (sqrt (+ (/ 1 re) (/ 1 im)))) (cbrt (sqrt (- (/ 1 re) (/ 1 im))))) * [misc]approximate: Taking taylor expansion of (* (cbrt (sqrt (+ (/ 1 (- re)) (/ 1 (- im))))) (cbrt (sqrt (- (/ 1 (- re)) (/ 1 (- im)))))) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (* (cbrt (sqrt (+ (/ 1 (- re)) (/ 1 (- im))))) (cbrt (sqrt (- (/ 1 (- re)) (/ 1 (- im)))))) in im * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (+ (/ 1 (- re)) (/ 1 (- im))))) in im * [misc]backup-simplify: Simplify (cbrt (sqrt (+ (/ 1 (- re)) (/ 1 (- im))))) into (cbrt (sqrt (- (+ (/ 1 re) (/ 1 im))))) * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (- (/ 1 (- re)) (/ 1 (- im))))) in im * [misc]backup-simplify: Simplify (cbrt (sqrt (- (/ 1 (- re)) (/ 1 (- im))))) into (cbrt (sqrt (- (/ 1 im) (/ 1 re)))) * [misc]taylor: Taking taylor expansion of (* (cbrt (sqrt (+ (/ 1 (- re)) (/ 1 (- im))))) (cbrt (sqrt (- (/ 1 (- re)) (/ 1 (- im)))))) in re * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (+ (/ 1 (- re)) (/ 1 (- im))))) in re * [misc]backup-simplify: Simplify (cbrt (sqrt (+ (/ 1 (- re)) (/ 1 (- im))))) into (cbrt (sqrt (- (+ (/ 1 re) (/ 1 im))))) * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (- (/ 1 (- re)) (/ 1 (- im))))) in re * [misc]backup-simplify: Simplify (cbrt (sqrt (- (/ 1 (- re)) (/ 1 (- im))))) into (cbrt (sqrt (- (/ 1 im) (/ 1 re)))) * [misc]taylor: Taking taylor expansion of (* (cbrt (sqrt (+ (/ 1 (- re)) (/ 1 (- im))))) (cbrt (sqrt (- (/ 1 (- re)) (/ 1 (- im)))))) in re * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (+ (/ 1 (- re)) (/ 1 (- im))))) in re * [misc]backup-simplify: Simplify (cbrt (sqrt (+ (/ 1 (- re)) (/ 1 (- im))))) into (cbrt (sqrt (- (+ (/ 1 re) (/ 1 im))))) * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (- (/ 1 (- re)) (/ 1 (- im))))) in re * [misc]backup-simplify: Simplify (cbrt (sqrt (- (/ 1 (- re)) (/ 1 (- im))))) into (cbrt (sqrt (- (/ 1 im) (/ 1 re)))) * [misc]backup-simplify: Simplify (* (cbrt (sqrt (- (+ (/ 1 re) (/ 1 im))))) (cbrt (sqrt (- (/ 1 im) (/ 1 re))))) into (* (cbrt (sqrt (- (+ (/ 1 re) (/ 1 im))))) (cbrt (sqrt (- (/ 1 im) (/ 1 re))))) * [misc]taylor: Taking taylor expansion of (* (cbrt (sqrt (- (+ (/ 1 re) (/ 1 im))))) (cbrt (sqrt (- (/ 1 im) (/ 1 re))))) in im * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (- (+ (/ 1 re) (/ 1 im))))) in im * [misc]backup-simplify: Simplify (cbrt (sqrt (- (+ (/ 1 re) (/ 1 im))))) into (cbrt (sqrt (- (+ (/ 1 re) (/ 1 im))))) * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (- (/ 1 im) (/ 1 re)))) in im * [misc]backup-simplify: Simplify (cbrt (sqrt (- (/ 1 im) (/ 1 re)))) into (cbrt (sqrt (- (/ 1 im) (/ 1 re)))) * [misc]backup-simplify: Simplify (* (cbrt (sqrt (- (+ (/ 1 re) (/ 1 im))))) (cbrt (sqrt (- (/ 1 im) (/ 1 re))))) into (* (cbrt (sqrt (- (+ (/ 1 re) (/ 1 im))))) (cbrt (sqrt (- (/ 1 im) (/ 1 re))))) * [misc]backup-simplify: Simplify (* (cbrt (sqrt (- (+ (/ 1 re) (/ 1 im))))) (cbrt (sqrt (- (/ 1 im) (/ 1 re))))) into (* (cbrt (sqrt (- (+ (/ 1 re) (/ 1 im))))) (cbrt (sqrt (- (/ 1 im) (/ 1 re))))) * [misc]backup-simplify: Simplify (+ (* (cbrt (sqrt (- (+ (/ 1 re) (/ 1 im))))) 0) (* 0 (cbrt (sqrt (- (/ 1 im) (/ 1 re)))))) 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 (+ (* (cbrt (sqrt (- (+ (/ 1 re) (/ 1 im))))) 0) (* 0 (cbrt (sqrt (- (/ 1 im) (/ 1 re)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (cbrt (sqrt (- (+ (/ 1 re) (/ 1 im))))) 0) (+ (* 0 0) (* 0 (cbrt (sqrt (- (/ 1 im) (/ 1 re))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (cbrt (sqrt (- (+ (/ 1 re) (/ 1 im))))) 0) (+ (* 0 0) (* 0 (cbrt (sqrt (- (/ 1 im) (/ 1 re))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (cbrt (sqrt (- (+ (/ 1 re) (/ 1 im))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt (sqrt (- (/ 1 im) (/ 1 re)))))))) 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 (* (cbrt (sqrt (- (+ (/ 1 re) (/ 1 im))))) (cbrt (sqrt (- (/ 1 im) (/ 1 re))))) into (* (cbrt (sqrt (- (+ (/ 1 re) (/ 1 im))))) (cbrt (sqrt (- (/ 1 im) (/ 1 re))))) * * * [misc]progress: simplifying alt 1 of 18 * [enter]simplify: Simplifying (* 0.5 (sqrt (* 2.0 (+ (- (+ (* +nan.0 (* im re)) (- (+ (* +nan.0 (sqr re)) (- (* +nan.0 re)))))) re)))) * [misc]none: prog is (λ (re im) +nan.0) * * * [misc]progress: simplifying alt 2 of 18 * [enter]simplify: Simplifying (* 0.5 (sqrt (* 2.0 (+ (- (+ +nan.0 (- (+ (* +nan.0 (/ (sqr im) (sqr re))) (- (* +nan.0 (/ im re))))))) re)))) * [misc]none: prog is (λ (re im) +nan.0) * * * [misc]progress: simplifying alt 3 of 18 * [enter]simplify: Simplifying (* 0.5 (sqrt (* 2.0 (+ (- (+ +nan.0 (- (+ (* +nan.0 (/ (sqr im) (sqr re))) (- (* +nan.0 (/ im re))))))) re)))) * [misc]none: prog is (λ (re im) +nan.0) * * * [misc]progress: simplifying alt 4 of 18 * [enter]simplify: Simplifying (* 0.5 (sqrt (* 2.0 (+ (* (- (+ (* +nan.0 im) (- (+ (* +nan.0 (sqr re)) (- (* +nan.0 re)))))) (sqrt (- re im))) re)))) * [misc]none: prog is (λ (re im) +nan.0) * * * [misc]progress: simplifying alt 5 of 18 * [enter]simplify: Simplifying (* 0.5 (sqrt (* 2.0 (+ (* (- (+ (* +nan.0 (/ im (sqr re))) (- (+ +nan.0 (- (* +nan.0 (/ im re))))))) (sqrt (- re im))) re)))) * [misc]none: prog is (λ (re im) +nan.0) * * * [misc]progress: simplifying alt 6 of 18 * [enter]simplify: Simplifying (* 0.5 (sqrt (* 2.0 (+ (* (- (+ (* +nan.0 (/ im (sqr re))) (- (+ +nan.0 (- (* +nan.0 (/ im re))))))) (sqrt (- re im))) re)))) * [misc]none: prog is (λ (re im) +nan.0) * * * [misc]progress: simplifying alt 7 of 18 * [enter]simplify: Simplifying (* 0.5 (sqrt (* 2.0 (+ (cube (* (cbrt (sqrt (+ im re))) (cbrt (sqrt (- re im))))) re)))) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (* 0.5 (sqrt (* (+ (* (sqrt (+ im re)) (sqrt (- re im))) re) 2.0))) * [misc]none: prog is (λ (re im) (* 0.5 (sqrt (* (+ (* (sqrt (+ im re)) (sqrt (- re im))) re) 2.0)))) * * * [misc]progress: simplifying alt 8 of 18 * [enter]simplify: Simplifying (* 0.5 (sqrt (* 2.0 (+ (cube (* (cbrt (sqrt (+ (/ 1 re) (/ 1 im)))) (cbrt (sqrt (- re im))))) re)))) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (* 0.5 (sqrt (+ (* re 2.0) (* (* 2.0 (sqrt (- re im))) (sqrt (+ (/ 1 re) (/ 1 im))))))) * [misc]none: prog is (λ (re im) (* 0.5 (sqrt (+ (* re 2.0) (* (* 2.0 (sqrt (- re im))) (sqrt (+ (/ 1 re) (/ 1 im)))))))) * * * [misc]progress: simplifying alt 9 of 18 * [enter]simplify: Simplifying (* 0.5 (sqrt (* 2.0 (+ (cube (* (cbrt (sqrt (- (+ (/ 1 re) (/ 1 im))))) (cbrt (sqrt (- re im))))) re)))) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (* 0.5 (sqrt (+ (* (* 2.0 (sqrt (- re im))) (sqrt (- (+ (/ 1 re) (/ 1 im))))) (* re 2.0)))) * [misc]none: prog is (λ (re im) (* 0.5 (sqrt (+ (* (* 2.0 (sqrt (- re im))) (sqrt (- (+ (/ 1 re) (/ 1 im))))) (* re 2.0))))) * * * [misc]progress: simplifying alt 10 of 18 * [enter]simplify: Simplifying (* 0.5 (sqrt (* 2.0 (+ (cube (* (cbrt (sqrt (+ re im))) (cbrt (sqrt (- re im))))) re)))) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (* 0.5 (sqrt (* (+ re (* (sqrt (+ re im)) (sqrt (- re im)))) 2.0))) * [misc]none: prog is (λ (re im) (* 0.5 (sqrt (* (+ re (* (sqrt (+ re im)) (sqrt (- re im)))) 2.0)))) * * * [misc]progress: simplifying alt 11 of 18 * [enter]simplify: Simplifying (* 0.5 (sqrt (* 2.0 (+ (cube (* (cbrt (sqrt (+ re im))) (cbrt (sqrt (- (/ 1 re) (/ 1 im)))))) re)))) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (* 0.5 (sqrt (+ (* 2.0 re) (* (* 2.0 (sqrt (+ re im))) (sqrt (- (/ 1 re) (/ 1 im))))))) * [misc]none: prog is (λ (re im) (* 0.5 (sqrt (+ (* 2.0 re) (* (* 2.0 (sqrt (+ re im))) (sqrt (- (/ 1 re) (/ 1 im)))))))) * * * [misc]progress: simplifying alt 12 of 18 * [enter]simplify: Simplifying (* 0.5 (sqrt (* 2.0 (+ (cube (* (cbrt (sqrt (+ re im))) (cbrt (sqrt (- (/ 1 im) (/ 1 re)))))) re)))) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (* 0.5 (sqrt (+ (* 2.0 re) (* (* 2.0 (sqrt (+ re im))) (sqrt (- (/ 1 im) (/ 1 re))))))) * [misc]none: prog is (λ (re im) (* 0.5 (sqrt (+ (* 2.0 re) (* (* 2.0 (sqrt (+ re im))) (sqrt (- (/ 1 im) (/ 1 re)))))))) * * * [misc]progress: simplifying alt 13 of 18 * [enter]simplify: Simplifying (* 0.5 (sqrt (* 2.0 (+ (cube (* (cbrt (sqrt (+ im re))) (cbrt (sqrt (- re im))))) re)))) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (* 0.5 (sqrt (* (+ (* (sqrt (+ im re)) (sqrt (- re im))) re) 2.0))) * [misc]none: prog is (λ (re im) (* 0.5 (sqrt (* (+ (* (sqrt (+ im re)) (sqrt (- re im))) re) 2.0)))) * * * [misc]progress: simplifying alt 14 of 18 * [enter]simplify: Simplifying (* 0.5 (sqrt (* 2.0 (+ (cube (* (cbrt (sqrt (+ (/ 1 re) (/ 1 im)))) (cbrt (sqrt (- (/ 1 re) (/ 1 im)))))) re)))) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (+ (/ 1 re) (/ 1 im))) (sqrt (- (/ 1 re) (/ 1 im)))) re)))) * [misc]none: prog is (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (+ (/ 1 re) (/ 1 im))) (sqrt (- (/ 1 re) (/ 1 im)))) re))))) * * * [misc]progress: simplifying alt 15 of 18 * [enter]simplify: Simplifying (* 0.5 (sqrt (* 2.0 (+ (cube (* (cbrt (sqrt (- (+ (/ 1 re) (/ 1 im))))) (cbrt (sqrt (- (/ 1 im) (/ 1 re)))))) re)))) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (* 0.5 (sqrt (+ (* (* 2.0 (sqrt (- (/ 1 im) (/ 1 re)))) (sqrt (- (+ (/ 1 re) (/ 1 im))))) (* re 2.0)))) * [misc]none: prog is (λ (re im) (* 0.5 (sqrt (+ (* (* 2.0 (sqrt (- (/ 1 im) (/ 1 re)))) (sqrt (- (+ (/ 1 re) (/ 1 im))))) (* re 2.0))))) * * * [misc]progress: simplifying alt 16 of 18 * [enter]simplify: Simplifying (* 0.5 (sqrt (* 2.0 (+ (cube (* (cbrt (sqrt (+ im re))) (cbrt (sqrt (- re im))))) re)))) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (* 0.5 (sqrt (* (+ (* (sqrt (+ im re)) (sqrt (- re im))) re) 2.0))) * [misc]none: prog is (λ (re im) (* 0.5 (sqrt (* (+ (* (sqrt (+ im re)) (sqrt (- re im))) re) 2.0)))) * * * [misc]progress: simplifying alt 17 of 18 * [enter]simplify: Simplifying (* 0.5 (sqrt (* 2.0 (+ (cube (* (cbrt (sqrt (+ (/ 1 re) (/ 1 im)))) (cbrt (sqrt (- (/ 1 re) (/ 1 im)))))) re)))) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (+ (/ 1 re) (/ 1 im))) (sqrt (- (/ 1 re) (/ 1 im)))) re)))) * [misc]none: prog is (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (+ (/ 1 re) (/ 1 im))) (sqrt (- (/ 1 re) (/ 1 im)))) re))))) * * * [misc]progress: simplifying alt 18 of 18 * [enter]simplify: Simplifying (* 0.5 (sqrt (* 2.0 (+ (cube (* (cbrt (sqrt (- (+ (/ 1 re) (/ 1 im))))) (cbrt (sqrt (- (/ 1 im) (/ 1 re)))))) re)))) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (* 0.5 (sqrt (+ (* (* 2.0 (sqrt (- (/ 1 im) (/ 1 re)))) (sqrt (- (+ (/ 1 re) (/ 1 im))))) (* re 2.0)))) * [misc]none: prog is (λ (re im) (* 0.5 (sqrt (+ (* (* 2.0 (sqrt (- (/ 1 im) (/ 1 re)))) (sqrt (- (+ (/ 1 re) (/ 1 im))))) (* re 2.0))))) * [misc]progress: [Phase 3 of 3] Extracting. * [enter]simplify: Simplifying (sqrt (+ re im)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (sqrt (+ re im)) * [exit]simplify: Simplified to (sqrt (+ re im)) * [enter]simplify: Simplifying (sqrt (- re im)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (sqrt (- re im)) * [exit]simplify: Simplified to (sqrt (- re im)) * [enter]simplify: Simplifying (* (cbrt (sqrt (+ re im))) (cbrt (sqrt (- re im)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (- re im))) (cbrt (sqrt (+ re im)))) * [exit]simplify: Simplified to (* (cbrt (sqrt (- re im))) (cbrt (sqrt (+ re im))))