* [misc]progress: [Phase 1 of 3] Setting up. * * * [misc]progress: [1/2] Preparing points * * * [misc]progress: [2/2] Setting up program. * [enter]simplify: Simplifying (sqrt (+ (* re re) (* im im))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (hypot im re) * [misc]progress: [Phase 2 of 3] Improving. * * [misc]progress: iteration 1 / 2 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 1 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (hypot im re) in (im re) around 0 * [misc]taylor: Taking taylor expansion of (hypot im re) in re * [misc]backup-simplify: Simplify (hypot im re) into (hypot im re) * [misc]taylor: Taking taylor expansion of (hypot im re) in im * [misc]backup-simplify: Simplify (hypot im re) into (hypot im re) * [misc]taylor: Taking taylor expansion of (hypot im re) in im * [misc]backup-simplify: Simplify (hypot im re) into (hypot im re) * [misc]taylor: Taking taylor expansion of (hypot im re) in re * [misc]backup-simplify: Simplify (hypot im re) into (hypot im re) * [misc]backup-simplify: Simplify (hypot im re) into (hypot im re) * [misc]taylor: Taking taylor expansion of 0 in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (hypot im re) into (hypot im re) * [misc]approximate: Taking taylor expansion of (hypot (/ 1 im) (/ 1 re)) in (im re) around 0 * [misc]taylor: Taking taylor expansion of (hypot (/ 1 im) (/ 1 re)) in re * [misc]backup-simplify: Simplify (hypot (/ 1 im) (/ 1 re)) into (hypot (/ 1 im) (/ 1 re)) * [misc]taylor: Taking taylor expansion of (hypot (/ 1 im) (/ 1 re)) in im * [misc]backup-simplify: Simplify (hypot (/ 1 im) (/ 1 re)) into (hypot (/ 1 im) (/ 1 re)) * [misc]taylor: Taking taylor expansion of (hypot (/ 1 im) (/ 1 re)) in im * [misc]backup-simplify: Simplify (hypot (/ 1 im) (/ 1 re)) into (hypot (/ 1 im) (/ 1 re)) * [misc]taylor: Taking taylor expansion of (hypot (/ 1 im) (/ 1 re)) in re * [misc]backup-simplify: Simplify (hypot (/ 1 im) (/ 1 re)) into (hypot (/ 1 im) (/ 1 re)) * [misc]backup-simplify: Simplify (hypot (/ 1 im) (/ 1 re)) into (hypot (/ 1 im) (/ 1 re)) * [misc]taylor: Taking taylor expansion of 0 in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (hypot (/ 1 im) (/ 1 re)) into (hypot (/ 1 im) (/ 1 re)) * [misc]approximate: Taking taylor expansion of (hypot (/ 1 (- im)) (/ 1 (- re))) in (im re) around 0 * [misc]taylor: Taking taylor expansion of (hypot (/ 1 (- im)) (/ 1 (- re))) in re * [misc]backup-simplify: Simplify (hypot (/ 1 (- im)) (/ 1 (- re))) into (hypot (/ -1 im) (/ -1 re)) * [misc]taylor: Taking taylor expansion of (hypot (/ 1 (- im)) (/ 1 (- re))) in im * [misc]backup-simplify: Simplify (hypot (/ 1 (- im)) (/ 1 (- re))) into (hypot (/ -1 im) (/ -1 re)) * [misc]taylor: Taking taylor expansion of (hypot (/ 1 (- im)) (/ 1 (- re))) in im * [misc]backup-simplify: Simplify (hypot (/ 1 (- im)) (/ 1 (- re))) into (hypot (/ -1 im) (/ -1 re)) * [misc]taylor: Taking taylor expansion of (hypot (/ -1 im) (/ -1 re)) in re * [misc]backup-simplify: Simplify (hypot (/ -1 im) (/ -1 re)) into (hypot (/ -1 im) (/ -1 re)) * [misc]backup-simplify: Simplify (hypot (/ -1 im) (/ -1 re)) into (hypot (/ -1 im) (/ -1 re)) * [misc]taylor: Taking taylor expansion of 0 in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (hypot (/ -1 im) (/ -1 re)) into (hypot (/ -1 im) (/ -1 re)) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 1 ] rewriting at (2) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 13 ] simplifiying candidate # * [enter]simplify: Simplifying (hypot im re) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to (hypot im re) * * * * [misc]progress: [ 2 / 13 ] simplifiying candidate # * [enter]simplify: Simplifying (hypot (/ 1 im) (/ 1 re)) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (hypot (/ 1 im) (/ 1 re)) * * * * [misc]progress: [ 3 / 13 ] simplifiying candidate # * [enter]simplify: Simplifying (hypot (/ -1 im) (/ -1 re)) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (hypot (/ -1 im) (/ -1 re)) * * * * [misc]progress: [ 4 / 13 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (hypot im re)) * * [misc]simplify: iters left: 2 (4 enodes) * [exit]simplify: Simplified to (expm1 (hypot im re)) * [exit]simplify: Simplified to (expm1 (hypot im re)) * * * * [misc]progress: [ 5 / 13 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (hypot im re)) * * [misc]simplify: iters left: 2 (4 enodes) * [exit]simplify: Simplified to (log1p (hypot im re)) * [exit]simplify: Simplified to (log1p (hypot im re)) * * * * [misc]progress: [ 6 / 13 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqr im) (sqr re)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (10 enodes) * [exit]simplify: Simplified to (fma re re (sqr im)) * [exit]simplify: Simplified to (fma re re (sqr im)) * * * * [misc]progress: [ 7 / 13 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 13 ] simplifiying candidate # * [enter]simplify: Simplifying (log (hypot im re)) * * [misc]simplify: iters left: 2 (4 enodes) * [exit]simplify: Simplified to (log (hypot im re)) * [exit]simplify: Simplified to (log (hypot im re)) * * * * [misc]progress: [ 9 / 13 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (hypot im re)) * * [misc]simplify: iters left: 2 (4 enodes) * [exit]simplify: Simplified to (exp (hypot im re)) * [exit]simplify: Simplified to (exp (hypot im re)) * * * * [misc]progress: [ 10 / 13 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (hypot im re)) * * [misc]simplify: iters left: 2 (4 enodes) * [exit]simplify: Simplified to (cbrt (hypot im re)) * [exit]simplify: Simplified to (cbrt (hypot im re)) * * * * [misc]progress: [ 11 / 13 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (hypot im re)) * * [misc]simplify: iters left: 2 (4 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to (cube (hypot im re)) * [exit]simplify: Simplified to (cube (hypot im re)) * * * * [misc]progress: [ 12 / 13 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (hypot im re)) * * [misc]simplify: iters left: 2 (4 enodes) * [exit]simplify: Simplified to (sqrt (hypot im re)) * [exit]simplify: Simplified to (sqrt (hypot im re)) * * * * [misc]progress: [ 13 / 13 ] 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) * [misc]approximate: Taking taylor expansion of (sqr (sqrt (hypot im re))) in (im re) around 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (hypot im re))) in re * [misc]taylor: Taking taylor expansion of (sqrt (hypot im re)) in re * [misc]taylor: Taking taylor expansion of (hypot im re) in re * [misc]backup-simplify: Simplify (hypot im re) into (hypot im re) * [misc]backup-simplify: Simplify (sqrt (hypot im re)) into (sqrt (hypot im re)) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (hypot im re)))) into 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (hypot im re))) in im * [misc]taylor: Taking taylor expansion of (sqrt (hypot im re)) in im * [misc]taylor: Taking taylor expansion of (hypot im re) in im * [misc]backup-simplify: Simplify (hypot im re) into (hypot im re) * [misc]backup-simplify: Simplify (sqrt (hypot im re)) into (sqrt (hypot im re)) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (hypot im re)))) into 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (hypot im re))) in im * [misc]taylor: Taking taylor expansion of (sqrt (hypot im re)) in im * [misc]taylor: Taking taylor expansion of (hypot im re) in im * [misc]backup-simplify: Simplify (hypot im re) into (hypot im re) * [misc]backup-simplify: Simplify (sqrt (hypot im re)) into (sqrt (hypot im re)) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (hypot im re)))) into 0 * [misc]backup-simplify: Simplify (* (sqrt (hypot im re)) (sqrt (hypot im re))) into (hypot im re) * [misc]taylor: Taking taylor expansion of (hypot im re) in re * [misc]backup-simplify: Simplify (hypot im re) into (hypot im re) * [misc]backup-simplify: Simplify (hypot im re) into (hypot im re) * [misc]backup-simplify: Simplify (+ (* (sqrt (hypot im re)) 0) (* 0 (sqrt (hypot im re)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (hypot im re)))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (hypot im re)) 0) (+ (* 0 0) (* 0 (sqrt (hypot im re))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (hypot im re)))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (hypot im re)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (hypot im re)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (hypot im re) into (hypot im re) * [misc]approximate: Taking taylor expansion of (sqr (sqrt (hypot (/ 1 im) (/ 1 re)))) in (im re) around 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (hypot (/ 1 im) (/ 1 re)))) in re * [misc]taylor: Taking taylor expansion of (sqrt (hypot (/ 1 im) (/ 1 re))) in re * [misc]taylor: Taking taylor expansion of (hypot (/ 1 im) (/ 1 re)) in re * [misc]backup-simplify: Simplify (hypot (/ 1 im) (/ 1 re)) into (hypot (/ 1 im) (/ 1 re)) * [misc]backup-simplify: Simplify (sqrt (hypot (/ 1 im) (/ 1 re))) into (sqrt (hypot (/ 1 im) (/ 1 re))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (hypot (/ 1 im) (/ 1 re))))) into 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (hypot (/ 1 im) (/ 1 re)))) in im * [misc]taylor: Taking taylor expansion of (sqrt (hypot (/ 1 im) (/ 1 re))) in im * [misc]taylor: Taking taylor expansion of (hypot (/ 1 im) (/ 1 re)) in im * [misc]backup-simplify: Simplify (hypot (/ 1 im) (/ 1 re)) into (hypot (/ 1 im) (/ 1 re)) * [misc]backup-simplify: Simplify (sqrt (hypot (/ 1 im) (/ 1 re))) into (sqrt (hypot (/ 1 im) (/ 1 re))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (hypot (/ 1 im) (/ 1 re))))) into 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (hypot (/ 1 im) (/ 1 re)))) in im * [misc]taylor: Taking taylor expansion of (sqrt (hypot (/ 1 im) (/ 1 re))) in im * [misc]taylor: Taking taylor expansion of (hypot (/ 1 im) (/ 1 re)) in im * [misc]backup-simplify: Simplify (hypot (/ 1 im) (/ 1 re)) into (hypot (/ 1 im) (/ 1 re)) * [misc]backup-simplify: Simplify (sqrt (hypot (/ 1 im) (/ 1 re))) into (sqrt (hypot (/ 1 im) (/ 1 re))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (hypot (/ 1 im) (/ 1 re))))) into 0 * [misc]backup-simplify: Simplify (* (sqrt (hypot (/ 1 im) (/ 1 re))) (sqrt (hypot (/ 1 im) (/ 1 re)))) into (hypot (/ 1 im) (/ 1 re)) * [misc]taylor: Taking taylor expansion of (hypot (/ 1 im) (/ 1 re)) in re * [misc]backup-simplify: Simplify (hypot (/ 1 im) (/ 1 re)) into (hypot (/ 1 im) (/ 1 re)) * [misc]backup-simplify: Simplify (hypot (/ 1 im) (/ 1 re)) into (hypot (/ 1 im) (/ 1 re)) * [misc]backup-simplify: Simplify (+ (* (sqrt (hypot (/ 1 im) (/ 1 re))) 0) (* 0 (sqrt (hypot (/ 1 im) (/ 1 re))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (hypot (/ 1 im) (/ 1 re))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (hypot (/ 1 im) (/ 1 re))) 0) (+ (* 0 0) (* 0 (sqrt (hypot (/ 1 im) (/ 1 re)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (hypot (/ 1 im) (/ 1 re))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (hypot (/ 1 im) (/ 1 re))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (hypot (/ 1 im) (/ 1 re))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (hypot (/ 1 im) (/ 1 re)) into (hypot (/ 1 im) (/ 1 re)) * [misc]approximate: Taking taylor expansion of (sqr (sqrt (hypot (/ 1 (- im)) (/ 1 (- re))))) in (im re) around 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (hypot (/ 1 (- im)) (/ 1 (- re))))) in re * [misc]taylor: Taking taylor expansion of (sqrt (hypot (/ 1 (- im)) (/ 1 (- re)))) in re * [misc]taylor: Taking taylor expansion of (hypot (/ 1 (- im)) (/ 1 (- re))) in re * [misc]backup-simplify: Simplify (hypot (/ 1 (- im)) (/ 1 (- re))) into (hypot (/ -1 im) (/ -1 re)) * [misc]backup-simplify: Simplify (sqrt (hypot (/ -1 im) (/ -1 re))) into (sqrt (hypot (/ -1 im) (/ -1 re))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (hypot (/ -1 im) (/ -1 re))))) into 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (hypot (/ 1 (- im)) (/ 1 (- re))))) in im * [misc]taylor: Taking taylor expansion of (sqrt (hypot (/ 1 (- im)) (/ 1 (- re)))) in im * [misc]taylor: Taking taylor expansion of (hypot (/ 1 (- im)) (/ 1 (- re))) in im * [misc]backup-simplify: Simplify (hypot (/ 1 (- im)) (/ 1 (- re))) into (hypot (/ -1 im) (/ -1 re)) * [misc]backup-simplify: Simplify (sqrt (hypot (/ -1 im) (/ -1 re))) into (sqrt (hypot (/ -1 im) (/ -1 re))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (hypot (/ -1 im) (/ -1 re))))) into 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (hypot (/ 1 (- im)) (/ 1 (- re))))) in im * [misc]taylor: Taking taylor expansion of (sqrt (hypot (/ 1 (- im)) (/ 1 (- re)))) in im * [misc]taylor: Taking taylor expansion of (hypot (/ 1 (- im)) (/ 1 (- re))) in im * [misc]backup-simplify: Simplify (hypot (/ 1 (- im)) (/ 1 (- re))) into (hypot (/ -1 im) (/ -1 re)) * [misc]backup-simplify: Simplify (sqrt (hypot (/ -1 im) (/ -1 re))) into (sqrt (hypot (/ -1 im) (/ -1 re))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (hypot (/ -1 im) (/ -1 re))))) into 0 * [misc]backup-simplify: Simplify (* (sqrt (hypot (/ -1 im) (/ -1 re))) (sqrt (hypot (/ -1 im) (/ -1 re)))) into (hypot (/ -1 im) (/ -1 re)) * [misc]taylor: Taking taylor expansion of (hypot (/ -1 im) (/ -1 re)) in re * [misc]backup-simplify: Simplify (hypot (/ -1 im) (/ -1 re)) into (hypot (/ -1 im) (/ -1 re)) * [misc]backup-simplify: Simplify (hypot (/ -1 im) (/ -1 re)) into (hypot (/ -1 im) (/ -1 re)) * [misc]backup-simplify: Simplify (+ (* (sqrt (hypot (/ -1 im) (/ -1 re))) 0) (* 0 (sqrt (hypot (/ -1 im) (/ -1 re))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (hypot (/ -1 im) (/ -1 re))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (hypot (/ -1 im) (/ -1 re))) 0) (+ (* 0 0) (* 0 (sqrt (hypot (/ -1 im) (/ -1 re)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (hypot (/ -1 im) (/ -1 re))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (hypot (/ -1 im) (/ -1 re))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (hypot (/ -1 im) (/ -1 re))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (hypot (/ -1 im) (/ -1 re)) into (hypot (/ -1 im) (/ -1 re)) * * * * [misc]progress: [ 2 / 2 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (hypot im re) in (im re) around 0 * [misc]taylor: Taking taylor expansion of (hypot im re) in re * [misc]backup-simplify: Simplify (hypot im re) into (hypot im re) * [misc]taylor: Taking taylor expansion of (hypot im re) in im * [misc]backup-simplify: Simplify (hypot im re) into (hypot im re) * [misc]taylor: Taking taylor expansion of (hypot im re) in im * [misc]backup-simplify: Simplify (hypot im re) into (hypot im re) * [misc]taylor: Taking taylor expansion of (hypot im re) in re * [misc]backup-simplify: Simplify (hypot im re) into (hypot im re) * [misc]backup-simplify: Simplify (hypot im re) into (hypot im re) * [misc]taylor: Taking taylor expansion of 0 in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (hypot im re) into (hypot im re) * [misc]approximate: Taking taylor expansion of (hypot (/ 1 im) (/ 1 re)) in (im re) around 0 * [misc]taylor: Taking taylor expansion of (hypot (/ 1 im) (/ 1 re)) in re * [misc]backup-simplify: Simplify (hypot (/ 1 im) (/ 1 re)) into (hypot (/ 1 im) (/ 1 re)) * [misc]taylor: Taking taylor expansion of (hypot (/ 1 im) (/ 1 re)) in im * [misc]backup-simplify: Simplify (hypot (/ 1 im) (/ 1 re)) into (hypot (/ 1 im) (/ 1 re)) * [misc]taylor: Taking taylor expansion of (hypot (/ 1 im) (/ 1 re)) in im * [misc]backup-simplify: Simplify (hypot (/ 1 im) (/ 1 re)) into (hypot (/ 1 im) (/ 1 re)) * [misc]taylor: Taking taylor expansion of (hypot (/ 1 im) (/ 1 re)) in re * [misc]backup-simplify: Simplify (hypot (/ 1 im) (/ 1 re)) into (hypot (/ 1 im) (/ 1 re)) * [misc]backup-simplify: Simplify (hypot (/ 1 im) (/ 1 re)) into (hypot (/ 1 im) (/ 1 re)) * [misc]taylor: Taking taylor expansion of 0 in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (hypot (/ 1 im) (/ 1 re)) into (hypot (/ 1 im) (/ 1 re)) * [misc]approximate: Taking taylor expansion of (hypot (/ 1 (- im)) (/ 1 (- re))) in (im re) around 0 * [misc]taylor: Taking taylor expansion of (hypot (/ 1 (- im)) (/ 1 (- re))) in re * [misc]backup-simplify: Simplify (hypot (/ 1 (- im)) (/ 1 (- re))) into (hypot (/ -1 im) (/ -1 re)) * [misc]taylor: Taking taylor expansion of (hypot (/ 1 (- im)) (/ 1 (- re))) in im * [misc]backup-simplify: Simplify (hypot (/ 1 (- im)) (/ 1 (- re))) into (hypot (/ -1 im) (/ -1 re)) * [misc]taylor: Taking taylor expansion of (hypot (/ 1 (- im)) (/ 1 (- re))) in im * [misc]backup-simplify: Simplify (hypot (/ 1 (- im)) (/ 1 (- re))) into (hypot (/ -1 im) (/ -1 re)) * [misc]taylor: Taking taylor expansion of (hypot (/ -1 im) (/ -1 re)) in re * [misc]backup-simplify: Simplify (hypot (/ -1 im) (/ -1 re)) into (hypot (/ -1 im) (/ -1 re)) * [misc]backup-simplify: Simplify (hypot (/ -1 im) (/ -1 re)) into (hypot (/ -1 im) (/ -1 re)) * [misc]taylor: Taking taylor expansion of 0 in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (hypot (/ -1 im) (/ -1 re)) into (hypot (/ -1 im) (/ -1 re)) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 2 ] rewriting at (2) * * * * [misc]progress: [ 2 / 2 ] rewriting at (2 1 1) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 29 ] simplifiying candidate # * [enter]simplify: Simplifying (hypot im re) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to (hypot im re) * * * * [misc]progress: [ 2 / 29 ] simplifiying candidate # * [enter]simplify: Simplifying (hypot (/ 1 im) (/ 1 re)) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (hypot (/ 1 im) (/ 1 re)) * * * * [misc]progress: [ 3 / 29 ] simplifiying candidate # * [enter]simplify: Simplifying (hypot (/ -1 im) (/ -1 re)) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (hypot (/ -1 im) (/ -1 re)) * * * * [misc]progress: [ 4 / 29 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr (sqrt (hypot im re))) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (hypot im re) * * * * [misc]progress: [ 5 / 29 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr (sqrt (hypot (/ 1 im) (/ 1 re)))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (hypot (/ 1 im) (/ 1 re)) * * * * [misc]progress: [ 6 / 29 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr (sqrt (hypot (/ -1 im) (/ -1 re)))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (hypot (/ -1 im) (/ -1 re)) * * * * [misc]progress: [ 7 / 29 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (sqr (sqrt (hypot im re)))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (expm1 (hypot im re)) * [exit]simplify: Simplified to (expm1 (hypot im re)) * * * * [misc]progress: [ 8 / 29 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (sqr (sqrt (hypot im re)))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (log1p (hypot im re)) * [exit]simplify: Simplified to (log1p (hypot im re)) * * * * [misc]progress: [ 9 / 29 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 29 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 29 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqr (sqrt (hypot im re)))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * [exit]simplify: Simplified to (log (hypot im re)) * [exit]simplify: Simplified to (log (hypot im re)) * * * * [misc]progress: [ 12 / 29 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqr (sqrt (hypot im re)))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * [exit]simplify: Simplified to (exp (hypot im re)) * [exit]simplify: Simplified to (exp (hypot im re)) * * * * [misc]progress: [ 13 / 29 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqr (sqrt (hypot im re)))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (cbrt (hypot im re)) * [exit]simplify: Simplified to (cbrt (hypot im re)) * * * * [misc]progress: [ 14 / 29 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (sqr (sqrt (hypot im re)))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (19 enodes) * [exit]simplify: Simplified to (cube (hypot im re)) * [exit]simplify: Simplified to (cube (hypot im re)) * * * * [misc]progress: [ 15 / 29 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqr (sqrt (hypot im re)))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * * [misc]simplify: iters left: 1 (10 enodes) * [exit]simplify: Simplified to (sqrt (hypot im re)) * [exit]simplify: Simplified to (sqrt (hypot im re)) * * * * [misc]progress: [ 16 / 29 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr (sqrt 1)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (sqr (sqrt (hypot im re))) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (hypot im re) * [exit]simplify: Simplified to (hypot im re) * * * * [misc]progress: [ 17 / 29 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqr 1) * [exit]simplify: Simplified to (sqr 1) * [enter]simplify: Simplifying (sqr (sqrt (hypot im re))) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (hypot im re) * [exit]simplify: Simplified to (hypot im re) * * * * [misc]progress: [ 18 / 29 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 29 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 29 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (hypot im re)) * * [misc]simplify: iters left: 2 (4 enodes) * [exit]simplify: Simplified to (expm1 (hypot im re)) * [exit]simplify: Simplified to (expm1 (hypot im re)) * * * * [misc]progress: [ 21 / 29 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (hypot im re)) * * [misc]simplify: iters left: 2 (4 enodes) * [exit]simplify: Simplified to (log1p (hypot im re)) * [exit]simplify: Simplified to (log1p (hypot im re)) * * * * [misc]progress: [ 22 / 29 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqr im) (sqr re)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (10 enodes) * [exit]simplify: Simplified to (fma re re (sqr im)) * [exit]simplify: Simplified to (fma re re (sqr im)) * * * * [misc]progress: [ 23 / 29 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 29 ] simplifiying candidate # * [enter]simplify: Simplifying (log (hypot im re)) * * [misc]simplify: iters left: 2 (4 enodes) * [exit]simplify: Simplified to (log (hypot im re)) * [exit]simplify: Simplified to (log (hypot im re)) * * * * [misc]progress: [ 25 / 29 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (hypot im re)) * * [misc]simplify: iters left: 2 (4 enodes) * [exit]simplify: Simplified to (exp (hypot im re)) * [exit]simplify: Simplified to (exp (hypot im re)) * * * * [misc]progress: [ 26 / 29 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (hypot im re)) * * [misc]simplify: iters left: 2 (4 enodes) * [exit]simplify: Simplified to (cbrt (hypot im re)) * [exit]simplify: Simplified to (cbrt (hypot im re)) * * * * [misc]progress: [ 27 / 29 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (hypot im re)) * * [misc]simplify: iters left: 2 (4 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to (cube (hypot im re)) * [exit]simplify: Simplified to (cube (hypot im re)) * * * * [misc]progress: [ 28 / 29 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (hypot im re)) * * [misc]simplify: iters left: 2 (4 enodes) * [exit]simplify: Simplified to (sqrt (hypot im re)) * [exit]simplify: Simplified to (sqrt (hypot im re)) * * * * [misc]progress: [ 29 / 29 ] 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 (hypot im re) in (im re) around 0 * [misc]taylor: Taking taylor expansion of (hypot im re) in re * [misc]backup-simplify: Simplify (hypot im re) into (hypot im re) * [misc]taylor: Taking taylor expansion of (hypot im re) in im * [misc]backup-simplify: Simplify (hypot im re) into (hypot im re) * [misc]taylor: Taking taylor expansion of (hypot im re) in im * [misc]backup-simplify: Simplify (hypot im re) into (hypot im re) * [misc]taylor: Taking taylor expansion of (hypot im re) in re * [misc]backup-simplify: Simplify (hypot im re) into (hypot im re) * [misc]backup-simplify: Simplify (hypot im re) into (hypot im re) * [misc]taylor: Taking taylor expansion of 0 in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (hypot im re) into (hypot im re) * [misc]approximate: Taking taylor expansion of (hypot (/ 1 im) (/ 1 re)) in (im re) around 0 * [misc]taylor: Taking taylor expansion of (hypot (/ 1 im) (/ 1 re)) in re * [misc]backup-simplify: Simplify (hypot (/ 1 im) (/ 1 re)) into (hypot (/ 1 im) (/ 1 re)) * [misc]taylor: Taking taylor expansion of (hypot (/ 1 im) (/ 1 re)) in im * [misc]backup-simplify: Simplify (hypot (/ 1 im) (/ 1 re)) into (hypot (/ 1 im) (/ 1 re)) * [misc]taylor: Taking taylor expansion of (hypot (/ 1 im) (/ 1 re)) in im * [misc]backup-simplify: Simplify (hypot (/ 1 im) (/ 1 re)) into (hypot (/ 1 im) (/ 1 re)) * [misc]taylor: Taking taylor expansion of (hypot (/ 1 im) (/ 1 re)) in re * [misc]backup-simplify: Simplify (hypot (/ 1 im) (/ 1 re)) into (hypot (/ 1 im) (/ 1 re)) * [misc]backup-simplify: Simplify (hypot (/ 1 im) (/ 1 re)) into (hypot (/ 1 im) (/ 1 re)) * [misc]taylor: Taking taylor expansion of 0 in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (hypot (/ 1 im) (/ 1 re)) into (hypot (/ 1 im) (/ 1 re)) * [misc]approximate: Taking taylor expansion of (hypot (/ 1 (- im)) (/ 1 (- re))) in (im re) around 0 * [misc]taylor: Taking taylor expansion of (hypot (/ 1 (- im)) (/ 1 (- re))) in re * [misc]backup-simplify: Simplify (hypot (/ 1 (- im)) (/ 1 (- re))) into (hypot (/ -1 im) (/ -1 re)) * [misc]taylor: Taking taylor expansion of (hypot (/ 1 (- im)) (/ 1 (- re))) in im * [misc]backup-simplify: Simplify (hypot (/ 1 (- im)) (/ 1 (- re))) into (hypot (/ -1 im) (/ -1 re)) * [misc]taylor: Taking taylor expansion of (hypot (/ 1 (- im)) (/ 1 (- re))) in im * [misc]backup-simplify: Simplify (hypot (/ 1 (- im)) (/ 1 (- re))) into (hypot (/ -1 im) (/ -1 re)) * [misc]taylor: Taking taylor expansion of (hypot (/ -1 im) (/ -1 re)) in re * [misc]backup-simplify: Simplify (hypot (/ -1 im) (/ -1 re)) into (hypot (/ -1 im) (/ -1 re)) * [misc]backup-simplify: Simplify (hypot (/ -1 im) (/ -1 re)) into (hypot (/ -1 im) (/ -1 re)) * [misc]taylor: Taking taylor expansion of 0 in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (hypot (/ -1 im) (/ -1 re)) into (hypot (/ -1 im) (/ -1 re)) * * * [misc]progress: tayloring alt 2 of 2 * [misc]approximate: Taking taylor expansion of (sqr (sqrt (hypot im re))) in (im re) around 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (hypot im re))) in re * [misc]taylor: Taking taylor expansion of (sqrt (hypot im re)) in re * [misc]taylor: Taking taylor expansion of (hypot im re) in re * [misc]backup-simplify: Simplify (hypot im re) into (hypot im re) * [misc]backup-simplify: Simplify (sqrt (hypot im re)) into (sqrt (hypot im re)) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (hypot im re)))) into 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (hypot im re))) in im * [misc]taylor: Taking taylor expansion of (sqrt (hypot im re)) in im * [misc]taylor: Taking taylor expansion of (hypot im re) in im * [misc]backup-simplify: Simplify (hypot im re) into (hypot im re) * [misc]backup-simplify: Simplify (sqrt (hypot im re)) into (sqrt (hypot im re)) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (hypot im re)))) into 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (hypot im re))) in im * [misc]taylor: Taking taylor expansion of (sqrt (hypot im re)) in im * [misc]taylor: Taking taylor expansion of (hypot im re) in im * [misc]backup-simplify: Simplify (hypot im re) into (hypot im re) * [misc]backup-simplify: Simplify (sqrt (hypot im re)) into (sqrt (hypot im re)) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (hypot im re)))) into 0 * [misc]backup-simplify: Simplify (* (sqrt (hypot im re)) (sqrt (hypot im re))) into (hypot im re) * [misc]taylor: Taking taylor expansion of (hypot im re) in re * [misc]backup-simplify: Simplify (hypot im re) into (hypot im re) * [misc]backup-simplify: Simplify (hypot im re) into (hypot im re) * [misc]backup-simplify: Simplify (+ (* (sqrt (hypot im re)) 0) (* 0 (sqrt (hypot im re)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (hypot im re)))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (hypot im re)) 0) (+ (* 0 0) (* 0 (sqrt (hypot im re))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (hypot im re)))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (hypot im re)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (hypot im re)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (hypot im re) into (hypot im re) * [misc]approximate: Taking taylor expansion of (sqr (sqrt (hypot (/ 1 im) (/ 1 re)))) in (im re) around 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (hypot (/ 1 im) (/ 1 re)))) in re * [misc]taylor: Taking taylor expansion of (sqrt (hypot (/ 1 im) (/ 1 re))) in re * [misc]taylor: Taking taylor expansion of (hypot (/ 1 im) (/ 1 re)) in re * [misc]backup-simplify: Simplify (hypot (/ 1 im) (/ 1 re)) into (hypot (/ 1 im) (/ 1 re)) * [misc]backup-simplify: Simplify (sqrt (hypot (/ 1 im) (/ 1 re))) into (sqrt (hypot (/ 1 im) (/ 1 re))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (hypot (/ 1 im) (/ 1 re))))) into 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (hypot (/ 1 im) (/ 1 re)))) in im * [misc]taylor: Taking taylor expansion of (sqrt (hypot (/ 1 im) (/ 1 re))) in im * [misc]taylor: Taking taylor expansion of (hypot (/ 1 im) (/ 1 re)) in im * [misc]backup-simplify: Simplify (hypot (/ 1 im) (/ 1 re)) into (hypot (/ 1 im) (/ 1 re)) * [misc]backup-simplify: Simplify (sqrt (hypot (/ 1 im) (/ 1 re))) into (sqrt (hypot (/ 1 im) (/ 1 re))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (hypot (/ 1 im) (/ 1 re))))) into 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (hypot (/ 1 im) (/ 1 re)))) in im * [misc]taylor: Taking taylor expansion of (sqrt (hypot (/ 1 im) (/ 1 re))) in im * [misc]taylor: Taking taylor expansion of (hypot (/ 1 im) (/ 1 re)) in im * [misc]backup-simplify: Simplify (hypot (/ 1 im) (/ 1 re)) into (hypot (/ 1 im) (/ 1 re)) * [misc]backup-simplify: Simplify (sqrt (hypot (/ 1 im) (/ 1 re))) into (sqrt (hypot (/ 1 im) (/ 1 re))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (hypot (/ 1 im) (/ 1 re))))) into 0 * [misc]backup-simplify: Simplify (* (sqrt (hypot (/ 1 im) (/ 1 re))) (sqrt (hypot (/ 1 im) (/ 1 re)))) into (hypot (/ 1 im) (/ 1 re)) * [misc]taylor: Taking taylor expansion of (hypot (/ 1 im) (/ 1 re)) in re * [misc]backup-simplify: Simplify (hypot (/ 1 im) (/ 1 re)) into (hypot (/ 1 im) (/ 1 re)) * [misc]backup-simplify: Simplify (hypot (/ 1 im) (/ 1 re)) into (hypot (/ 1 im) (/ 1 re)) * [misc]backup-simplify: Simplify (+ (* (sqrt (hypot (/ 1 im) (/ 1 re))) 0) (* 0 (sqrt (hypot (/ 1 im) (/ 1 re))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (hypot (/ 1 im) (/ 1 re))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (hypot (/ 1 im) (/ 1 re))) 0) (+ (* 0 0) (* 0 (sqrt (hypot (/ 1 im) (/ 1 re)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (hypot (/ 1 im) (/ 1 re))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (hypot (/ 1 im) (/ 1 re))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (hypot (/ 1 im) (/ 1 re))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (hypot (/ 1 im) (/ 1 re)) into (hypot (/ 1 im) (/ 1 re)) * [misc]approximate: Taking taylor expansion of (sqr (sqrt (hypot (/ 1 (- im)) (/ 1 (- re))))) in (im re) around 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (hypot (/ 1 (- im)) (/ 1 (- re))))) in re * [misc]taylor: Taking taylor expansion of (sqrt (hypot (/ 1 (- im)) (/ 1 (- re)))) in re * [misc]taylor: Taking taylor expansion of (hypot (/ 1 (- im)) (/ 1 (- re))) in re * [misc]backup-simplify: Simplify (hypot (/ 1 (- im)) (/ 1 (- re))) into (hypot (/ -1 im) (/ -1 re)) * [misc]backup-simplify: Simplify (sqrt (hypot (/ -1 im) (/ -1 re))) into (sqrt (hypot (/ -1 im) (/ -1 re))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (hypot (/ -1 im) (/ -1 re))))) into 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (hypot (/ 1 (- im)) (/ 1 (- re))))) in im * [misc]taylor: Taking taylor expansion of (sqrt (hypot (/ 1 (- im)) (/ 1 (- re)))) in im * [misc]taylor: Taking taylor expansion of (hypot (/ 1 (- im)) (/ 1 (- re))) in im * [misc]backup-simplify: Simplify (hypot (/ 1 (- im)) (/ 1 (- re))) into (hypot (/ -1 im) (/ -1 re)) * [misc]backup-simplify: Simplify (sqrt (hypot (/ -1 im) (/ -1 re))) into (sqrt (hypot (/ -1 im) (/ -1 re))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (hypot (/ -1 im) (/ -1 re))))) into 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (hypot (/ 1 (- im)) (/ 1 (- re))))) in im * [misc]taylor: Taking taylor expansion of (sqrt (hypot (/ 1 (- im)) (/ 1 (- re)))) in im * [misc]taylor: Taking taylor expansion of (hypot (/ 1 (- im)) (/ 1 (- re))) in im * [misc]backup-simplify: Simplify (hypot (/ 1 (- im)) (/ 1 (- re))) into (hypot (/ -1 im) (/ -1 re)) * [misc]backup-simplify: Simplify (sqrt (hypot (/ -1 im) (/ -1 re))) into (sqrt (hypot (/ -1 im) (/ -1 re))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (hypot (/ -1 im) (/ -1 re))))) into 0 * [misc]backup-simplify: Simplify (* (sqrt (hypot (/ -1 im) (/ -1 re))) (sqrt (hypot (/ -1 im) (/ -1 re)))) into (hypot (/ -1 im) (/ -1 re)) * [misc]taylor: Taking taylor expansion of (hypot (/ -1 im) (/ -1 re)) in re * [misc]backup-simplify: Simplify (hypot (/ -1 im) (/ -1 re)) into (hypot (/ -1 im) (/ -1 re)) * [misc]backup-simplify: Simplify (hypot (/ -1 im) (/ -1 re)) into (hypot (/ -1 im) (/ -1 re)) * [misc]backup-simplify: Simplify (+ (* (sqrt (hypot (/ -1 im) (/ -1 re))) 0) (* 0 (sqrt (hypot (/ -1 im) (/ -1 re))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (hypot (/ -1 im) (/ -1 re))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (hypot (/ -1 im) (/ -1 re))) 0) (+ (* 0 0) (* 0 (sqrt (hypot (/ -1 im) (/ -1 re)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (hypot (/ -1 im) (/ -1 re))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (hypot (/ -1 im) (/ -1 re))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (hypot (/ -1 im) (/ -1 re))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (hypot (/ -1 im) (/ -1 re)) into (hypot (/ -1 im) (/ -1 re)) * [misc]approximate: Taking taylor expansion of (hypot im re) in (im re) around 0 * [misc]taylor: Taking taylor expansion of (hypot im re) in re * [misc]backup-simplify: Simplify (hypot im re) into (hypot im re) * [misc]taylor: Taking taylor expansion of (hypot im re) in im * [misc]backup-simplify: Simplify (hypot im re) into (hypot im re) * [misc]taylor: Taking taylor expansion of (hypot im re) in im * [misc]backup-simplify: Simplify (hypot im re) into (hypot im re) * [misc]taylor: Taking taylor expansion of (hypot im re) in re * [misc]backup-simplify: Simplify (hypot im re) into (hypot im re) * [misc]backup-simplify: Simplify (hypot im re) into (hypot im re) * [misc]taylor: Taking taylor expansion of 0 in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (hypot im re) into (hypot im re) * [misc]approximate: Taking taylor expansion of (hypot (/ 1 im) (/ 1 re)) in (im re) around 0 * [misc]taylor: Taking taylor expansion of (hypot (/ 1 im) (/ 1 re)) in re * [misc]backup-simplify: Simplify (hypot (/ 1 im) (/ 1 re)) into (hypot (/ 1 im) (/ 1 re)) * [misc]taylor: Taking taylor expansion of (hypot (/ 1 im) (/ 1 re)) in im * [misc]backup-simplify: Simplify (hypot (/ 1 im) (/ 1 re)) into (hypot (/ 1 im) (/ 1 re)) * [misc]taylor: Taking taylor expansion of (hypot (/ 1 im) (/ 1 re)) in im * [misc]backup-simplify: Simplify (hypot (/ 1 im) (/ 1 re)) into (hypot (/ 1 im) (/ 1 re)) * [misc]taylor: Taking taylor expansion of (hypot (/ 1 im) (/ 1 re)) in re * [misc]backup-simplify: Simplify (hypot (/ 1 im) (/ 1 re)) into (hypot (/ 1 im) (/ 1 re)) * [misc]backup-simplify: Simplify (hypot (/ 1 im) (/ 1 re)) into (hypot (/ 1 im) (/ 1 re)) * [misc]taylor: Taking taylor expansion of 0 in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (hypot (/ 1 im) (/ 1 re)) into (hypot (/ 1 im) (/ 1 re)) * [misc]approximate: Taking taylor expansion of (hypot (/ 1 (- im)) (/ 1 (- re))) in (im re) around 0 * [misc]taylor: Taking taylor expansion of (hypot (/ 1 (- im)) (/ 1 (- re))) in re * [misc]backup-simplify: Simplify (hypot (/ 1 (- im)) (/ 1 (- re))) into (hypot (/ -1 im) (/ -1 re)) * [misc]taylor: Taking taylor expansion of (hypot (/ 1 (- im)) (/ 1 (- re))) in im * [misc]backup-simplify: Simplify (hypot (/ 1 (- im)) (/ 1 (- re))) into (hypot (/ -1 im) (/ -1 re)) * [misc]taylor: Taking taylor expansion of (hypot (/ 1 (- im)) (/ 1 (- re))) in im * [misc]backup-simplify: Simplify (hypot (/ 1 (- im)) (/ 1 (- re))) into (hypot (/ -1 im) (/ -1 re)) * [misc]taylor: Taking taylor expansion of (hypot (/ -1 im) (/ -1 re)) in re * [misc]backup-simplify: Simplify (hypot (/ -1 im) (/ -1 re)) into (hypot (/ -1 im) (/ -1 re)) * [misc]backup-simplify: Simplify (hypot (/ -1 im) (/ -1 re)) into (hypot (/ -1 im) (/ -1 re)) * [misc]taylor: Taking taylor expansion of 0 in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (hypot (/ -1 im) (/ -1 re)) into (hypot (/ -1 im) (/ -1 re)) * * * [misc]progress: simplifying alt 1 of 9 * [enter]simplify: Simplifying (hypot im re) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to (hypot im re) * [misc]none: prog is (λ (re im) (hypot im re)) * * * [misc]progress: simplifying alt 2 of 9 * [enter]simplify: Simplifying (hypot (/ 1 im) (/ 1 re)) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (hypot (/ 1 im) (/ 1 re)) * [misc]none: prog is (λ (re im) (hypot (/ 1 im) (/ 1 re))) * * * [misc]progress: simplifying alt 3 of 9 * [enter]simplify: Simplifying (hypot (/ -1 im) (/ -1 re)) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (hypot (/ -1 im) (/ -1 re)) * [misc]none: prog is (λ (re im) (hypot (/ -1 im) (/ -1 re))) * * * [misc]progress: simplifying alt 4 of 9 * [enter]simplify: Simplifying (hypot im re) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to (hypot im re) * [misc]none: prog is (λ (re im) (hypot im re)) * * * [misc]progress: simplifying alt 5 of 9 * [enter]simplify: Simplifying (hypot (/ 1 im) (/ 1 re)) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (hypot (/ 1 im) (/ 1 re)) * [misc]none: prog is (λ (re im) (hypot (/ 1 im) (/ 1 re))) * * * [misc]progress: simplifying alt 6 of 9 * [enter]simplify: Simplifying (hypot (/ -1 im) (/ -1 re)) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (hypot (/ -1 im) (/ -1 re)) * [misc]none: prog is (λ (re im) (hypot (/ -1 im) (/ -1 re))) * * * [misc]progress: simplifying alt 7 of 9 * [enter]simplify: Simplifying (sqr (sqrt (hypot im re))) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (hypot im re) * [misc]none: prog is (λ (re im) (hypot im re)) * * * [misc]progress: simplifying alt 8 of 9 * [enter]simplify: Simplifying (sqr (sqrt (hypot (/ 1 im) (/ 1 re)))) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * * [misc]simplify: iters left: 1 (12 enodes) * [exit]simplify: Simplified to (hypot (/ 1 im) (/ 1 re)) * [misc]none: prog is (λ (re im) (hypot (/ 1 im) (/ 1 re))) * * * [misc]progress: simplifying alt 9 of 9 * [enter]simplify: Simplifying (sqr (sqrt (hypot (/ -1 im) (/ -1 re)))) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * * [misc]simplify: iters left: 1 (10 enodes) * [exit]simplify: Simplified to (hypot (/ -1 im) (/ -1 re)) * [misc]none: prog is (λ (re im) (hypot (/ -1 im) (/ -1 re))) * [misc]progress: [Phase 3 of 3] Extracting. * [enter]simplify: Simplifying (sqrt (hypot im re)) * * [misc]simplify: iters left: 2 (4 enodes) * [exit]simplify: Simplified to (sqrt (hypot im re)) * [exit]simplify: Simplified to (sqrt (hypot im re))