* [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 (25 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * [exit]simplify: Simplified to (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))) * [misc]progress: [Phase 2 of 3] Improving. * * [misc]progress: iteration 1 / 3 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 3 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) in im * [misc]taylor: Taking taylor expansion of (fma (hypot re im) 2.0 (* 2.0 re)) in im * [misc]backup-simplify: Simplify (fma (hypot re im) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re)) * [misc]backup-simplify: Simplify (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) into (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) in re * [misc]taylor: Taking taylor expansion of (fma (hypot re im) 2.0 (* 2.0 re)) in re * [misc]backup-simplify: Simplify (fma (hypot re im) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re)) * [misc]backup-simplify: Simplify (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) into (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) in re * [misc]taylor: Taking taylor expansion of (fma (hypot re im) 2.0 (* 2.0 re)) in re * [misc]backup-simplify: Simplify (fma (hypot re im) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re)) * [misc]backup-simplify: Simplify (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) into (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) in im * [misc]taylor: Taking taylor expansion of (fma (hypot re im) 2.0 (* 2.0 re)) in im * [misc]backup-simplify: Simplify (fma (hypot re im) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re)) * [misc]backup-simplify: Simplify (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) into (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) into 0 * [misc]backup-simplify: Simplify (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) into (sqrt (fma (hypot re im) 2.0 (* 2.0 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]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (fma (hypot re im) 2.0 (* 2.0 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 (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (fma (hypot re im) 2.0 (* 2.0 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 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) into (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) * [misc]approximate: Taking taylor expansion of (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re)))) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re)))) in im * [misc]taylor: Taking taylor expansion of (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re))) in im * [misc]backup-simplify: Simplify (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re))) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) * [misc]backup-simplify: Simplify (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) into (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re)))) in re * [misc]taylor: Taking taylor expansion of (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re))) in re * [misc]backup-simplify: Simplify (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re))) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) * [misc]backup-simplify: Simplify (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) into (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re)))) in re * [misc]taylor: Taking taylor expansion of (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re))) in re * [misc]backup-simplify: Simplify (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re))) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) * [misc]backup-simplify: Simplify (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) into (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) in im * [misc]taylor: Taking taylor expansion of (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) in im * [misc]backup-simplify: Simplify (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) * [misc]backup-simplify: Simplify (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) into (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))) into 0 * [misc]backup-simplify: Simplify (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) into (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 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]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 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 (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 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 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) into (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) * [misc]approximate: Taking taylor expansion of (sqrt (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re))))) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re))))) in im * [misc]taylor: Taking taylor expansion of (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re)))) in im * [misc]backup-simplify: Simplify (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re)))) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) * [misc]backup-simplify: Simplify (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) into (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re))))) in re * [misc]taylor: Taking taylor expansion of (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re)))) in re * [misc]backup-simplify: Simplify (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re)))) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) * [misc]backup-simplify: Simplify (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) into (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re))))) in re * [misc]taylor: Taking taylor expansion of (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re)))) in re * [misc]backup-simplify: Simplify (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re)))) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) * [misc]backup-simplify: Simplify (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) into (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) in im * [misc]taylor: Taking taylor expansion of (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) in im * [misc]backup-simplify: Simplify (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) * [misc]backup-simplify: Simplify (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) into (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))) into 0 * [misc]backup-simplify: Simplify (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) into (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 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]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 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 (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 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 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) into (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) * * * * [misc]progress: [ 2 / 3 ] generating series at (2 2 1) * [misc]approximate: Taking taylor expansion of (fma (hypot re im) 2.0 (* 2.0 re)) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (fma (hypot re im) 2.0 (* 2.0 re)) in im * [misc]backup-simplify: Simplify (fma (hypot re im) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re)) * [misc]taylor: Taking taylor expansion of (fma (hypot re im) 2.0 (* 2.0 re)) in re * [misc]backup-simplify: Simplify (fma (hypot re im) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re)) * [misc]taylor: Taking taylor expansion of (fma (hypot re im) 2.0 (* 2.0 re)) in re * [misc]backup-simplify: Simplify (fma (hypot re im) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re)) * [misc]taylor: Taking taylor expansion of (fma (hypot re im) 2.0 (* 2.0 re)) in im * [misc]backup-simplify: Simplify (fma (hypot re im) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re)) * [misc]backup-simplify: Simplify (fma (hypot re im) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 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 (fma (hypot re im) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re)) * [misc]approximate: Taking taylor expansion of (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re))) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re))) in im * [misc]backup-simplify: Simplify (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re))) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) * [misc]taylor: Taking taylor expansion of (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re))) in re * [misc]backup-simplify: Simplify (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re))) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) * [misc]taylor: Taking taylor expansion of (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re))) in re * [misc]backup-simplify: Simplify (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re))) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) * [misc]taylor: Taking taylor expansion of (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) in im * [misc]backup-simplify: Simplify (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) * [misc]backup-simplify: Simplify (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 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 (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) * [misc]approximate: Taking taylor expansion of (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re)))) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re)))) in im * [misc]backup-simplify: Simplify (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re)))) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) * [misc]taylor: Taking taylor expansion of (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re)))) in re * [misc]backup-simplify: Simplify (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re)))) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) * [misc]taylor: Taking taylor expansion of (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re)))) in re * [misc]backup-simplify: Simplify (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re)))) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) * [misc]taylor: Taking taylor expansion of (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) in im * [misc]backup-simplify: Simplify (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) * [misc]backup-simplify: Simplify (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 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 (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) * * * * [misc]progress: [ 3 / 3 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) in im * [misc]taylor: Taking taylor expansion of (fma (hypot re im) 2.0 (* 2.0 re)) in im * [misc]backup-simplify: Simplify (fma (hypot re im) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re)) * [misc]backup-simplify: Simplify (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) into (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) into 0 * [misc]taylor: Taking taylor expansion of (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))) in re * [misc]taylor: Taking taylor expansion of 0.5 in re * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) in re * [misc]taylor: Taking taylor expansion of (fma (hypot re im) 2.0 (* 2.0 re)) in re * [misc]backup-simplify: Simplify (fma (hypot re im) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re)) * [misc]backup-simplify: Simplify (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) into (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) into 0 * [misc]taylor: Taking taylor expansion of (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))) in re * [misc]taylor: Taking taylor expansion of 0.5 in re * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) in re * [misc]taylor: Taking taylor expansion of (fma (hypot re im) 2.0 (* 2.0 re)) in re * [misc]backup-simplify: Simplify (fma (hypot re im) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re)) * [misc]backup-simplify: Simplify (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) into (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) into 0 * [misc]backup-simplify: Simplify (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))) into (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))) * [misc]taylor: Taking taylor expansion of (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) in im * [misc]taylor: Taking taylor expansion of (fma (hypot re im) 2.0 (* 2.0 re)) in im * [misc]backup-simplify: Simplify (fma (hypot re im) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re)) * [misc]backup-simplify: Simplify (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) into (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) into 0 * [misc]backup-simplify: Simplify (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))) into (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))) * [misc]backup-simplify: Simplify (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))) into (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))) * [misc]backup-simplify: Simplify (+ (* 0.5 0) (* 0 (sqrt (fma (hypot re im) 2.0 (* 2.0 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 (+ (* 0.5 0) (* 0 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (sqrt (fma (hypot re im) 2.0 (* 2.0 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 (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (fma (hypot re im) 2.0 (* 2.0 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 (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))) into (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))) * [misc]approximate: Taking taylor expansion of (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re))))) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re))))) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re)))) in im * [misc]taylor: Taking taylor expansion of (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re))) in im * [misc]backup-simplify: Simplify (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re))) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) * [misc]backup-simplify: Simplify (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) into (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))) into 0 * [misc]taylor: Taking taylor expansion of (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re))))) in re * [misc]taylor: Taking taylor expansion of 0.5 in re * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re)))) in re * [misc]taylor: Taking taylor expansion of (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re))) in re * [misc]backup-simplify: Simplify (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re))) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) * [misc]backup-simplify: Simplify (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) into (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))) into 0 * [misc]taylor: Taking taylor expansion of (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re))))) in re * [misc]taylor: Taking taylor expansion of 0.5 in re * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re)))) in re * [misc]taylor: Taking taylor expansion of (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re))) in re * [misc]backup-simplify: Simplify (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re))) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) * [misc]backup-simplify: Simplify (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) into (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))) into 0 * [misc]backup-simplify: Simplify (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))) into (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))) * [misc]taylor: Taking taylor expansion of (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) in im * [misc]taylor: Taking taylor expansion of (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) in im * [misc]backup-simplify: Simplify (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) * [misc]backup-simplify: Simplify (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) into (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))) into 0 * [misc]backup-simplify: Simplify (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))) into (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))) * [misc]backup-simplify: Simplify (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))) into (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))) * [misc]backup-simplify: Simplify (+ (* 0.5 0) (* 0 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 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 (+ (* 0.5 0) (* 0 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 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 (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 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 (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))) into (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))) * [misc]approximate: Taking taylor expansion of (* 0.5 (sqrt (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re)))))) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (* 0.5 (sqrt (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re)))))) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (sqrt (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re))))) in im * [misc]taylor: Taking taylor expansion of (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re)))) in im * [misc]backup-simplify: Simplify (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re)))) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) * [misc]backup-simplify: Simplify (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) into (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))) into 0 * [misc]taylor: Taking taylor expansion of (* 0.5 (sqrt (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re)))))) in re * [misc]taylor: Taking taylor expansion of 0.5 in re * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (sqrt (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re))))) in re * [misc]taylor: Taking taylor expansion of (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re)))) in re * [misc]backup-simplify: Simplify (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re)))) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) * [misc]backup-simplify: Simplify (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) into (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))) into 0 * [misc]taylor: Taking taylor expansion of (* 0.5 (sqrt (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re)))))) in re * [misc]taylor: Taking taylor expansion of 0.5 in re * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (sqrt (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re))))) in re * [misc]taylor: Taking taylor expansion of (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re)))) in re * [misc]backup-simplify: Simplify (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re)))) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) * [misc]backup-simplify: Simplify (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) into (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))) into 0 * [misc]backup-simplify: Simplify (* 0.5 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)))) into (* 0.5 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)))) * [misc]taylor: Taking taylor expansion of (* 0.5 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)))) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) in im * [misc]taylor: Taking taylor expansion of (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) in im * [misc]backup-simplify: Simplify (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) * [misc]backup-simplify: Simplify (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) into (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))) into 0 * [misc]backup-simplify: Simplify (* 0.5 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)))) into (* 0.5 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)))) * [misc]backup-simplify: Simplify (* 0.5 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)))) into (* 0.5 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)))) * [misc]backup-simplify: Simplify (+ (* 0.5 0) (* 0 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 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 (+ (* 0.5 0) (* 0 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 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 (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 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 (* 0.5 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)))) into (* 0.5 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)))) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 3 ] rewriting at (2 2) * * * * [misc]progress: [ 2 / 3 ] rewriting at (2 2 1) * * * * [misc]progress: [ 3 / 3 ] rewriting at (2) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (* (sqrt (fma (hypot re im) 2.0 (* re 2.0))) 0.5) * * * * [misc]progress: [ 2 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))) * * * * [misc]progress: [ 3 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (* 0.5 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (* (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) 0.5) * * * * [misc]progress: [ 4 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (* (sqrt (fma (hypot re im) 2.0 (* re 2.0))) 0.5) * * * * [misc]progress: [ 5 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))) * * * * [misc]progress: [ 6 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (* 0.5 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (* (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) 0.5) * * * * [misc]progress: [ 7 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (* (sqrt (fma (hypot re im) 2.0 (* re 2.0))) 0.5) * * * * [misc]progress: [ 8 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))) * * * * [misc]progress: [ 9 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (* 0.5 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (* (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) 0.5) * * * * [misc]progress: [ 10 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (expm1 (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) * [exit]simplify: Simplified to (expm1 (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) * * * * [misc]progress: [ 11 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (log1p (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) * [exit]simplify: Simplified to (log1p (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) * * * * [misc]progress: [ 12 / 43 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 43 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (log (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) * [exit]simplify: Simplified to (log (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) * * * * [misc]progress: [ 15 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (exp (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) * [exit]simplify: Simplified to (exp (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) * * * * [misc]progress: [ 16 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) * [exit]simplify: Simplified to (cbrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) * * * * [misc]progress: [ 17 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (* (fma (hypot re im) 2.0 (* re 2.0)) (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) * [exit]simplify: Simplified to (* (fma (hypot re im) 2.0 (* re 2.0)) (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) * * * * [misc]progress: [ 18 / 43 ] 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 (fma (hypot re im) 2.0 (* 2.0 re))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (fma (hypot re im) 2.0 (* re 2.0))) * [exit]simplify: Simplified to (sqrt (fma (hypot re im) 2.0 (* re 2.0))) * * * * [misc]progress: [ 19 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) * [exit]simplify: Simplified to (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) * * * * [misc]progress: [ 20 / 43 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 43 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (fma (hypot re im) 2.0 (* 2.0 re))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (expm1 (fma (hypot re im) 2.0 (* re 2.0))) * [exit]simplify: Simplified to (expm1 (fma (hypot re im) 2.0 (* re 2.0))) * * * * [misc]progress: [ 23 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (fma (hypot re im) 2.0 (* 2.0 re))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (log1p (fma (hypot re im) 2.0 (* re 2.0))) * [exit]simplify: Simplified to (log1p (fma (hypot re im) 2.0 (* re 2.0))) * * * * [misc]progress: [ 24 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (* (hypot re im) 2.0) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (* (hypot re im) 2.0) * [exit]simplify: Simplified to (* (hypot re im) 2.0) * * * * [misc]progress: [ 25 / 43 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (log (fma (hypot re im) 2.0 (* 2.0 re))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (log (fma (hypot re im) 2.0 (* re 2.0))) * [exit]simplify: Simplified to (log (fma (hypot re im) 2.0 (* re 2.0))) * * * * [misc]progress: [ 27 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (fma (hypot re im) 2.0 (* 2.0 re))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (exp (fma (hypot re im) 2.0 (* re 2.0))) * [exit]simplify: Simplified to (exp (fma (hypot re im) 2.0 (* re 2.0))) * * * * [misc]progress: [ 28 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (fma (hypot re im) 2.0 (* 2.0 re))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (cbrt (fma (hypot re im) 2.0 (* re 2.0))) * [exit]simplify: Simplified to (cbrt (fma (hypot re im) 2.0 (* re 2.0))) * * * * [misc]progress: [ 29 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (fma (hypot re im) 2.0 (* 2.0 re))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * [exit]simplify: Simplified to (cube (fma (hypot re im) 2.0 (* re 2.0))) * [exit]simplify: Simplified to (cube (fma (hypot re im) 2.0 (* re 2.0))) * * * * [misc]progress: [ 30 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (fma (hypot re im) 2.0 (* re 2.0))) * [exit]simplify: Simplified to (sqrt (fma (hypot re im) 2.0 (* re 2.0))) * * * * [misc]progress: [ 31 / 43 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (expm1 (* (sqrt (fma (hypot re im) 2.0 (* re 2.0))) 0.5)) * [exit]simplify: Simplified to (expm1 (* (sqrt (fma (hypot re im) 2.0 (* re 2.0))) 0.5)) * * * * [misc]progress: [ 33 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (log1p (* (sqrt (fma (hypot re im) 2.0 (* re 2.0))) 0.5)) * [exit]simplify: Simplified to (log1p (* (sqrt (fma (hypot re im) 2.0 (* re 2.0))) 0.5)) * * * * [misc]progress: [ 34 / 43 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (log (* (sqrt (fma (hypot re im) 2.0 (* re 2.0))) 0.5)) * [exit]simplify: Simplified to (log (* (sqrt (fma (hypot re im) 2.0 (* re 2.0))) 0.5)) * * * * [misc]progress: [ 36 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (pow (exp 0.5) (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) * [exit]simplify: Simplified to (pow (exp 0.5) (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) * * * * [misc]progress: [ 37 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (cbrt (* (sqrt (fma (hypot re im) 2.0 (* re 2.0))) 0.5)) * [exit]simplify: Simplified to (cbrt (* (sqrt (fma (hypot re im) 2.0 (* re 2.0))) 0.5)) * * * * [misc]progress: [ 38 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (78 enodes) * [exit]simplify: Simplified to (* (* (cube 0.5) (fma (hypot re im) 2.0 (* re 2.0))) (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) * [exit]simplify: Simplified to (* (* (cube 0.5) (fma (hypot re im) 2.0 (* re 2.0))) (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) * * * * [misc]progress: [ 39 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (sqrt (* (sqrt (fma (hypot re im) 2.0 (* re 2.0))) 0.5)) * [exit]simplify: Simplified to (sqrt (* (sqrt (fma (hypot re im) 2.0 (* re 2.0))) 0.5)) * * * * [misc]progress: [ 40 / 43 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (* 0.5 (sqrt 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (* (sqrt 1) 0.5) * [exit]simplify: Simplified to (* (sqrt 1) 0.5) * * * * [misc]progress: [ 42 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (* 0.5 1) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to 0.5 * [exit]simplify: Simplified to 0.5 * * * * [misc]progress: [ 43 / 43 ] simplifiying candidate # * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 3 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 1 2) * [misc]approximate: Taking taylor expansion of (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) in im * [misc]taylor: Taking taylor expansion of (fma (hypot re im) 2.0 (* 2.0 re)) in im * [misc]backup-simplify: Simplify (fma (hypot re im) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re)) * [misc]backup-simplify: Simplify (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) into (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) in re * [misc]taylor: Taking taylor expansion of (fma (hypot re im) 2.0 (* 2.0 re)) in re * [misc]backup-simplify: Simplify (fma (hypot re im) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re)) * [misc]backup-simplify: Simplify (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) into (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) in re * [misc]taylor: Taking taylor expansion of (fma (hypot re im) 2.0 (* 2.0 re)) in re * [misc]backup-simplify: Simplify (fma (hypot re im) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re)) * [misc]backup-simplify: Simplify (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) into (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) in im * [misc]taylor: Taking taylor expansion of (fma (hypot re im) 2.0 (* 2.0 re)) in im * [misc]backup-simplify: Simplify (fma (hypot re im) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re)) * [misc]backup-simplify: Simplify (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) into (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) into 0 * [misc]backup-simplify: Simplify (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) into (sqrt (fma (hypot re im) 2.0 (* 2.0 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]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (fma (hypot re im) 2.0 (* 2.0 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 (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (fma (hypot re im) 2.0 (* 2.0 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 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) into (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) * [misc]approximate: Taking taylor expansion of (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re)))) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re)))) in im * [misc]taylor: Taking taylor expansion of (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re))) in im * [misc]backup-simplify: Simplify (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re))) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) * [misc]backup-simplify: Simplify (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) into (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re)))) in re * [misc]taylor: Taking taylor expansion of (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re))) in re * [misc]backup-simplify: Simplify (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re))) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) * [misc]backup-simplify: Simplify (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) into (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re)))) in re * [misc]taylor: Taking taylor expansion of (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re))) in re * [misc]backup-simplify: Simplify (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re))) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) * [misc]backup-simplify: Simplify (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) into (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) in im * [misc]taylor: Taking taylor expansion of (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) in im * [misc]backup-simplify: Simplify (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) * [misc]backup-simplify: Simplify (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) into (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))) into 0 * [misc]backup-simplify: Simplify (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) into (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 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]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 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 (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 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 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) into (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) * [misc]approximate: Taking taylor expansion of (sqrt (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re))))) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re))))) in im * [misc]taylor: Taking taylor expansion of (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re)))) in im * [misc]backup-simplify: Simplify (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re)))) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) * [misc]backup-simplify: Simplify (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) into (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re))))) in re * [misc]taylor: Taking taylor expansion of (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re)))) in re * [misc]backup-simplify: Simplify (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re)))) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) * [misc]backup-simplify: Simplify (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) into (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re))))) in re * [misc]taylor: Taking taylor expansion of (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re)))) in re * [misc]backup-simplify: Simplify (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re)))) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) * [misc]backup-simplify: Simplify (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) into (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) in im * [misc]taylor: Taking taylor expansion of (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) in im * [misc]backup-simplify: Simplify (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) * [misc]backup-simplify: Simplify (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) into (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))) into 0 * [misc]backup-simplify: Simplify (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) into (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 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]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 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 (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 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 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) into (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 1 2 1) * [misc]approximate: Taking taylor expansion of (fma (hypot re im) 2.0 (* 2.0 re)) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (fma (hypot re im) 2.0 (* 2.0 re)) in im * [misc]backup-simplify: Simplify (fma (hypot re im) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re)) * [misc]taylor: Taking taylor expansion of (fma (hypot re im) 2.0 (* 2.0 re)) in re * [misc]backup-simplify: Simplify (fma (hypot re im) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re)) * [misc]taylor: Taking taylor expansion of (fma (hypot re im) 2.0 (* 2.0 re)) in re * [misc]backup-simplify: Simplify (fma (hypot re im) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re)) * [misc]taylor: Taking taylor expansion of (fma (hypot re im) 2.0 (* 2.0 re)) in im * [misc]backup-simplify: Simplify (fma (hypot re im) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re)) * [misc]backup-simplify: Simplify (fma (hypot re im) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 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 (fma (hypot re im) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re)) * [misc]approximate: Taking taylor expansion of (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re))) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re))) in im * [misc]backup-simplify: Simplify (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re))) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) * [misc]taylor: Taking taylor expansion of (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re))) in re * [misc]backup-simplify: Simplify (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re))) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) * [misc]taylor: Taking taylor expansion of (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re))) in re * [misc]backup-simplify: Simplify (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re))) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) * [misc]taylor: Taking taylor expansion of (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) in im * [misc]backup-simplify: Simplify (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) * [misc]backup-simplify: Simplify (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 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 (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) * [misc]approximate: Taking taylor expansion of (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re)))) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re)))) in im * [misc]backup-simplify: Simplify (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re)))) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) * [misc]taylor: Taking taylor expansion of (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re)))) in re * [misc]backup-simplify: Simplify (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re)))) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) * [misc]taylor: Taking taylor expansion of (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re)))) in re * [misc]backup-simplify: Simplify (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re)))) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) * [misc]taylor: Taking taylor expansion of (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) in im * [misc]backup-simplify: Simplify (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) * [misc]backup-simplify: Simplify (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 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 (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (sqrt (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) in im * [misc]taylor: Taking taylor expansion of (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) in im * [misc]taylor: Taking taylor expansion of (fma (hypot re im) 2.0 (* 2.0 re)) in im * [misc]backup-simplify: Simplify (fma (hypot re im) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re)) * [misc]backup-simplify: Simplify (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) into (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) into 0 * [misc]backup-simplify: Simplify (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))) into (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))) * [misc]backup-simplify: Simplify (sqrt (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) into (* (pow (fma (hypot re im) 2.0 (* 2.0 re)) 1/4) (sqrt 0.5)) * [misc]backup-simplify: Simplify (+ (* 0.5 0) (* 0 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) in re * [misc]taylor: Taking taylor expansion of (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))) in re * [misc]taylor: Taking taylor expansion of 0.5 in re * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) in re * [misc]taylor: Taking taylor expansion of (fma (hypot re im) 2.0 (* 2.0 re)) in re * [misc]backup-simplify: Simplify (fma (hypot re im) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re)) * [misc]backup-simplify: Simplify (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) into (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) into 0 * [misc]backup-simplify: Simplify (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))) into (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))) * [misc]backup-simplify: Simplify (sqrt (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) into (* (pow (fma (hypot re im) 2.0 (* 2.0 re)) 1/4) (sqrt 0.5)) * [misc]backup-simplify: Simplify (+ (* 0.5 0) (* 0 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) in re * [misc]taylor: Taking taylor expansion of (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))) in re * [misc]taylor: Taking taylor expansion of 0.5 in re * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) in re * [misc]taylor: Taking taylor expansion of (fma (hypot re im) 2.0 (* 2.0 re)) in re * [misc]backup-simplify: Simplify (fma (hypot re im) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re)) * [misc]backup-simplify: Simplify (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) into (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) into 0 * [misc]backup-simplify: Simplify (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))) into (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))) * [misc]backup-simplify: Simplify (sqrt (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) into (* (pow (fma (hypot re im) 2.0 (* 2.0 re)) 1/4) (sqrt 0.5)) * [misc]backup-simplify: Simplify (+ (* 0.5 0) (* 0 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))))) into 0 * [misc]taylor: Taking taylor expansion of (* (pow (fma (hypot re im) 2.0 (* 2.0 re)) 1/4) (sqrt 0.5)) in im * [misc]taylor: Taking taylor expansion of (pow (fma (hypot re im) 2.0 (* 2.0 re)) 1/4) in im * [misc]taylor: Taking taylor expansion of (exp (* 1/4 (log (fma (hypot re im) 2.0 (* 2.0 re))))) in im * [misc]taylor: Taking taylor expansion of (* 1/4 (log (fma (hypot re im) 2.0 (* 2.0 re)))) 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 (log (fma (hypot re im) 2.0 (* 2.0 re))) in im * [misc]taylor: Taking taylor expansion of (fma (hypot re im) 2.0 (* 2.0 re)) in im * [misc]backup-simplify: Simplify (fma (hypot re im) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re)) * [misc]backup-simplify: Simplify (log (fma (hypot re im) 2.0 (* 2.0 re))) into (log (fma (hypot re im) 2.0 (* 2.0 re))) * [misc]backup-simplify: Simplify (* 1/4 (log (fma (hypot re im) 2.0 (* 2.0 re)))) into (* 1/4 (log (fma (hypot re im) 2.0 (* 2.0 re)))) * [misc]backup-simplify: Simplify (exp (* 1/4 (log (fma (hypot re im) 2.0 (* 2.0 re))))) into (pow (fma (hypot re im) 2.0 (* 2.0 re)) 1/4) * [misc]taylor: Taking taylor expansion of (sqrt 0.5) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]backup-simplify: Simplify (sqrt 0.5) into (sqrt 0.5) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 0.5))) into 0 * [misc]backup-simplify: Simplify (* (pow (fma (hypot re im) 2.0 (* 2.0 re)) 1/4) (sqrt 0.5)) into (* (pow (fma (hypot re im) 2.0 (* 2.0 re)) 1/4) (sqrt 0.5)) * [misc]backup-simplify: Simplify (* (pow (fma (hypot re im) 2.0 (* 2.0 re)) 1/4) (sqrt 0.5)) into (* (pow (fma (hypot re im) 2.0 (* 2.0 re)) 1/4) (sqrt 0.5)) * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (fma (hypot re im) 2.0 (* 2.0 re)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (log (fma (hypot re im) 2.0 (* 2.0 re))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (log (fma (hypot re im) 2.0 (* 2.0 re))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (fma (hypot re im) 2.0 (* 2.0 re)) 1/4) 0) (* 0 (sqrt 0.5))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (* (pow (fma (hypot re im) 2.0 (* 2.0 re)) 1/4) (sqrt 0.5)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt 0.5))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (fma (hypot re im) 2.0 (* 2.0 re)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (fma (hypot re im) 2.0 (* 2.0 re)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log (fma (hypot re im) 2.0 (* 2.0 re)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (log (fma (hypot re im) 2.0 (* 2.0 re))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (fma (hypot re im) 2.0 (* 2.0 re)) 1/4) 0) (+ (* 0 0) (* 0 (sqrt 0.5)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (* (pow (fma (hypot re im) 2.0 (* 2.0 re)) 1/4) (sqrt 0.5)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (pow (fma (hypot re im) 2.0 (* 2.0 re)) 1/4) (sqrt 0.5)) into (* (pow (fma (hypot re im) 2.0 (* 2.0 re)) 1/4) (sqrt 0.5)) * [misc]approximate: Taking taylor expansion of (sqrt (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re)))))) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re)))))) in im * [misc]taylor: Taking taylor expansion of (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re))))) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re)))) in im * [misc]taylor: Taking taylor expansion of (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re))) in im * [misc]backup-simplify: Simplify (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re))) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) * [misc]backup-simplify: Simplify (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) into (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))) into 0 * [misc]backup-simplify: Simplify (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))) into (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))) * [misc]backup-simplify: Simplify (sqrt (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))) into (* (pow (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) 1/4) (sqrt 0.5)) * [misc]backup-simplify: Simplify (+ (* 0.5 0) (* 0 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re)))))) in re * [misc]taylor: Taking taylor expansion of (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re))))) in re * [misc]taylor: Taking taylor expansion of 0.5 in re * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re)))) in re * [misc]taylor: Taking taylor expansion of (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re))) in re * [misc]backup-simplify: Simplify (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re))) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) * [misc]backup-simplify: Simplify (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) into (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))) into 0 * [misc]backup-simplify: Simplify (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))) into (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))) * [misc]backup-simplify: Simplify (sqrt (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))) into (* (pow (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) 1/4) (sqrt 0.5)) * [misc]backup-simplify: Simplify (+ (* 0.5 0) (* 0 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re)))))) in re * [misc]taylor: Taking taylor expansion of (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re))))) in re * [misc]taylor: Taking taylor expansion of 0.5 in re * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re)))) in re * [misc]taylor: Taking taylor expansion of (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re))) in re * [misc]backup-simplify: Simplify (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re))) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) * [misc]backup-simplify: Simplify (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) into (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))) into 0 * [misc]backup-simplify: Simplify (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))) into (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))) * [misc]backup-simplify: Simplify (sqrt (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))) into (* (pow (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) 1/4) (sqrt 0.5)) * [misc]backup-simplify: Simplify (+ (* 0.5 0) (* 0 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))))) into 0 * [misc]taylor: Taking taylor expansion of (* (pow (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) 1/4) (sqrt 0.5)) in im * [misc]taylor: Taking taylor expansion of (pow (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) 1/4) in im * [misc]taylor: Taking taylor expansion of (exp (* 1/4 (log (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))) in im * [misc]taylor: Taking taylor expansion of (* 1/4 (log (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))) 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 (log (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) in im * [misc]taylor: Taking taylor expansion of (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) in im * [misc]backup-simplify: Simplify (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) * [misc]backup-simplify: Simplify (log (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) into (log (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) * [misc]backup-simplify: Simplify (* 1/4 (log (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))) into (* 1/4 (log (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))) * [misc]backup-simplify: Simplify (exp (* 1/4 (log (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))) into (pow (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) 1/4) * [misc]taylor: Taking taylor expansion of (sqrt 0.5) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]backup-simplify: Simplify (sqrt 0.5) into (sqrt 0.5) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 0.5))) into 0 * [misc]backup-simplify: Simplify (* (pow (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) 1/4) (sqrt 0.5)) into (* (sqrt 0.5) (pow (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) 1/4)) * [misc]backup-simplify: Simplify (* (sqrt 0.5) (pow (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) 1/4)) into (* (pow (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) 1/4) (sqrt 0.5)) * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (log (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (log (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) 1/4) 0) (* 0 (sqrt 0.5))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (* (pow (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) 1/4) (sqrt 0.5)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt 0.5))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (log (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) 1/4) 0) (+ (* 0 0) (* 0 (sqrt 0.5)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (* (pow (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) 1/4) (sqrt 0.5)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (pow (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) 1/4) (sqrt 0.5)) into (* (sqrt 0.5) (pow (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) 1/4)) * [misc]approximate: Taking taylor expansion of (sqrt (* 0.5 (sqrt (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re))))))) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (* 0.5 (sqrt (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re))))))) in im * [misc]taylor: Taking taylor expansion of (* 0.5 (sqrt (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re)))))) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (sqrt (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re))))) in im * [misc]taylor: Taking taylor expansion of (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re)))) in im * [misc]backup-simplify: Simplify (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re)))) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) * [misc]backup-simplify: Simplify (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) into (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))) into 0 * [misc]backup-simplify: Simplify (* 0.5 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)))) into (* 0.5 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)))) * [misc]backup-simplify: Simplify (sqrt (* 0.5 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))) into (* (pow (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) 1/4) (sqrt 0.5)) * [misc]backup-simplify: Simplify (+ (* 0.5 0) (* 0 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* 0.5 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (* 0.5 (sqrt (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re))))))) in re * [misc]taylor: Taking taylor expansion of (* 0.5 (sqrt (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re)))))) in re * [misc]taylor: Taking taylor expansion of 0.5 in re * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (sqrt (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re))))) in re * [misc]taylor: Taking taylor expansion of (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re)))) in re * [misc]backup-simplify: Simplify (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re)))) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) * [misc]backup-simplify: Simplify (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) into (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))) into 0 * [misc]backup-simplify: Simplify (* 0.5 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)))) into (* 0.5 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)))) * [misc]backup-simplify: Simplify (sqrt (* 0.5 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))) into (* (pow (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) 1/4) (sqrt 0.5)) * [misc]backup-simplify: Simplify (+ (* 0.5 0) (* 0 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* 0.5 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (* 0.5 (sqrt (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re))))))) in re * [misc]taylor: Taking taylor expansion of (* 0.5 (sqrt (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re)))))) in re * [misc]taylor: Taking taylor expansion of 0.5 in re * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (sqrt (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re))))) in re * [misc]taylor: Taking taylor expansion of (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re)))) in re * [misc]backup-simplify: Simplify (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re)))) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) * [misc]backup-simplify: Simplify (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) into (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))) into 0 * [misc]backup-simplify: Simplify (* 0.5 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)))) into (* 0.5 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)))) * [misc]backup-simplify: Simplify (sqrt (* 0.5 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))) into (* (pow (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) 1/4) (sqrt 0.5)) * [misc]backup-simplify: Simplify (+ (* 0.5 0) (* 0 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* 0.5 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))))) into 0 * [misc]taylor: Taking taylor expansion of (* (pow (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) 1/4) (sqrt 0.5)) in im * [misc]taylor: Taking taylor expansion of (pow (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) 1/4) in im * [misc]taylor: Taking taylor expansion of (exp (* 1/4 (log (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))) in im * [misc]taylor: Taking taylor expansion of (* 1/4 (log (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)))) 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 (log (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) in im * [misc]taylor: Taking taylor expansion of (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) in im * [misc]backup-simplify: Simplify (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) * [misc]backup-simplify: Simplify (log (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) into (log (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) * [misc]backup-simplify: Simplify (* 1/4 (log (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)))) into (* 1/4 (log (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)))) * [misc]backup-simplify: Simplify (exp (* 1/4 (log (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))) into (pow (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) 1/4) * [misc]taylor: Taking taylor expansion of (sqrt 0.5) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]backup-simplify: Simplify (sqrt 0.5) into (sqrt 0.5) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 0.5))) into 0 * [misc]backup-simplify: Simplify (* (pow (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) 1/4) (sqrt 0.5)) into (* (pow (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) 1/4) (sqrt 0.5)) * [misc]backup-simplify: Simplify (* (pow (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) 1/4) (sqrt 0.5)) into (* (pow (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) 1/4) (sqrt 0.5)) * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (log (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (log (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) 1/4) 0) (* 0 (sqrt 0.5))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (* (pow (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) 1/4) (sqrt 0.5)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt 0.5))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (log (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) 1/4) 0) (+ (* 0 0) (* 0 (sqrt 0.5)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (* (pow (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) 1/4) (sqrt 0.5)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (pow (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) 1/4) (sqrt 0.5)) into (* (pow (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) 1/4) (sqrt 0.5)) * * * * [misc]progress: [ 4 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (sqr (sqrt (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))))) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))))) in im * [misc]taylor: Taking taylor expansion of (sqrt (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) in im * [misc]taylor: Taking taylor expansion of (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) in im * [misc]taylor: Taking taylor expansion of (fma (hypot re im) 2.0 (* 2.0 re)) in im * [misc]backup-simplify: Simplify (fma (hypot re im) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re)) * [misc]backup-simplify: Simplify (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) into (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) into 0 * [misc]backup-simplify: Simplify (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))) into (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))) * [misc]backup-simplify: Simplify (sqrt (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) into (* (pow (fma (hypot re im) 2.0 (* 2.0 re)) 1/4) (sqrt 0.5)) * [misc]backup-simplify: Simplify (+ (* 0.5 0) (* 0 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))))) in re * [misc]taylor: Taking taylor expansion of (sqrt (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) in re * [misc]taylor: Taking taylor expansion of (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))) in re * [misc]taylor: Taking taylor expansion of 0.5 in re * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) in re * [misc]taylor: Taking taylor expansion of (fma (hypot re im) 2.0 (* 2.0 re)) in re * [misc]backup-simplify: Simplify (fma (hypot re im) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re)) * [misc]backup-simplify: Simplify (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) into (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) into 0 * [misc]backup-simplify: Simplify (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))) into (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))) * [misc]backup-simplify: Simplify (sqrt (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) into (* (pow (fma (hypot re im) 2.0 (* 2.0 re)) 1/4) (sqrt 0.5)) * [misc]backup-simplify: Simplify (+ (* 0.5 0) (* 0 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))))) in re * [misc]taylor: Taking taylor expansion of (sqrt (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) in re * [misc]taylor: Taking taylor expansion of (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))) in re * [misc]taylor: Taking taylor expansion of 0.5 in re * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) in re * [misc]taylor: Taking taylor expansion of (fma (hypot re im) 2.0 (* 2.0 re)) in re * [misc]backup-simplify: Simplify (fma (hypot re im) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re)) * [misc]backup-simplify: Simplify (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) into (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) into 0 * [misc]backup-simplify: Simplify (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))) into (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))) * [misc]backup-simplify: Simplify (sqrt (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) into (* (pow (fma (hypot re im) 2.0 (* 2.0 re)) 1/4) (sqrt 0.5)) * [misc]backup-simplify: Simplify (+ (* 0.5 0) (* 0 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))))) into 0 * [misc]backup-simplify: Simplify (* (* (pow (fma (hypot re im) 2.0 (* 2.0 re)) 1/4) (sqrt 0.5)) (* (pow (fma (hypot re im) 2.0 (* 2.0 re)) 1/4) (sqrt 0.5))) into (* (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) (sqr (sqrt 0.5))) * [misc]taylor: Taking taylor expansion of (* (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) (sqr (sqrt 0.5))) in im * [misc]taylor: Taking taylor expansion of (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) in im * [misc]taylor: Taking taylor expansion of (fma (hypot re im) 2.0 (* 2.0 re)) in im * [misc]backup-simplify: Simplify (fma (hypot re im) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re)) * [misc]backup-simplify: Simplify (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) into (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) into 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt 0.5)) in im * [misc]taylor: Taking taylor expansion of (sqrt 0.5) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]backup-simplify: Simplify (sqrt 0.5) into (sqrt 0.5) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 0.5))) into 0 * [misc]backup-simplify: Simplify (* (sqrt 0.5) (sqrt 0.5)) into (sqr (sqrt 0.5)) * [misc]backup-simplify: Simplify (* (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) (sqr (sqrt 0.5))) into (* (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) (sqr (sqrt 0.5))) * [misc]backup-simplify: Simplify (* (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) (sqr (sqrt 0.5))) into (* (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) (sqr (sqrt 0.5))) * [misc]backup-simplify: Simplify (+ (* (* (pow (fma (hypot re im) 2.0 (* 2.0 re)) 1/4) (sqrt 0.5)) 0) (* 0 (* (pow (fma (hypot re im) 2.0 (* 2.0 re)) 1/4) (sqrt 0.5)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt 0.5) 0) (* 0 (sqrt 0.5))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) 0) (* 0 (sqr (sqrt 0.5)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (* (pow (fma (hypot re im) 2.0 (* 2.0 re)) 1/4) (sqrt 0.5)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (pow (fma (hypot re im) 2.0 (* 2.0 re)) 1/4) (sqrt 0.5)) 0) (+ (* 0 0) (* 0 (* (pow (fma (hypot re im) 2.0 (* 2.0 re)) 1/4) (sqrt 0.5))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt 0.5))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt 0.5) 0) (+ (* 0 0) (* 0 (sqrt 0.5)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) 0) (+ (* 0 0) (* 0 (sqr (sqrt 0.5))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (* (pow (fma (hypot re im) 2.0 (* 2.0 re)) 1/4) (sqrt 0.5)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (pow (fma (hypot re im) 2.0 (* 2.0 re)) 1/4) (sqrt 0.5)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (pow (fma (hypot re im) 2.0 (* 2.0 re)) 1/4) (sqrt 0.5)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) (sqr (sqrt 0.5))) into (* (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) (sqr (sqrt 0.5))) * [misc]approximate: Taking taylor expansion of (sqr (sqrt (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re))))))) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re))))))) in im * [misc]taylor: Taking taylor expansion of (sqrt (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re)))))) in im * [misc]taylor: Taking taylor expansion of (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re))))) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re)))) in im * [misc]taylor: Taking taylor expansion of (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re))) in im * [misc]backup-simplify: Simplify (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re))) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) * [misc]backup-simplify: Simplify (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) into (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))) into 0 * [misc]backup-simplify: Simplify (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))) into (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))) * [misc]backup-simplify: Simplify (sqrt (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))) into (* (pow (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) 1/4) (sqrt 0.5)) * [misc]backup-simplify: Simplify (+ (* 0.5 0) (* 0 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re))))))) in re * [misc]taylor: Taking taylor expansion of (sqrt (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re)))))) in re * [misc]taylor: Taking taylor expansion of (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re))))) in re * [misc]taylor: Taking taylor expansion of 0.5 in re * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re)))) in re * [misc]taylor: Taking taylor expansion of (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re))) in re * [misc]backup-simplify: Simplify (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re))) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) * [misc]backup-simplify: Simplify (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) into (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))) into 0 * [misc]backup-simplify: Simplify (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))) into (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))) * [misc]backup-simplify: Simplify (sqrt (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))) into (* (pow (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) 1/4) (sqrt 0.5)) * [misc]backup-simplify: Simplify (+ (* 0.5 0) (* 0 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re))))))) in re * [misc]taylor: Taking taylor expansion of (sqrt (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re)))))) in re * [misc]taylor: Taking taylor expansion of (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re))))) in re * [misc]taylor: Taking taylor expansion of 0.5 in re * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re)))) in re * [misc]taylor: Taking taylor expansion of (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re))) in re * [misc]backup-simplify: Simplify (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re))) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) * [misc]backup-simplify: Simplify (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) into (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))) into 0 * [misc]backup-simplify: Simplify (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))) into (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))) * [misc]backup-simplify: Simplify (sqrt (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))) into (* (pow (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) 1/4) (sqrt 0.5)) * [misc]backup-simplify: Simplify (+ (* 0.5 0) (* 0 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))))) into 0 * [misc]backup-simplify: Simplify (* (* (pow (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) 1/4) (sqrt 0.5)) (* (pow (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) 1/4) (sqrt 0.5))) into (* (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) (sqr (sqrt 0.5))) * [misc]taylor: Taking taylor expansion of (* (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) (sqr (sqrt 0.5))) in im * [misc]taylor: Taking taylor expansion of (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) in im * [misc]taylor: Taking taylor expansion of (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) in im * [misc]backup-simplify: Simplify (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) * [misc]backup-simplify: Simplify (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) into (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))) into 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt 0.5)) in im * [misc]taylor: Taking taylor expansion of (sqrt 0.5) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]backup-simplify: Simplify (sqrt 0.5) into (sqrt 0.5) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 0.5))) into 0 * [misc]backup-simplify: Simplify (* (sqrt 0.5) (sqrt 0.5)) into (sqr (sqrt 0.5)) * [misc]backup-simplify: Simplify (* (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) (sqr (sqrt 0.5))) into (* (sqr (sqrt 0.5)) (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))) * [misc]backup-simplify: Simplify (* (sqr (sqrt 0.5)) (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))) into (* (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) (sqr (sqrt 0.5))) * [misc]backup-simplify: Simplify (+ (* (* (pow (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) 1/4) (sqrt 0.5)) 0) (* 0 (* (pow (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) 1/4) (sqrt 0.5)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt 0.5) 0) (* 0 (sqrt 0.5))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) 0) (* 0 (sqr (sqrt 0.5)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (* (pow (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) 1/4) (sqrt 0.5)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (pow (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) 1/4) (sqrt 0.5)) 0) (+ (* 0 0) (* 0 (* (pow (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) 1/4) (sqrt 0.5))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt 0.5))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt 0.5) 0) (+ (* 0 0) (* 0 (sqrt 0.5)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) 0) (+ (* 0 0) (* 0 (sqr (sqrt 0.5))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (* (pow (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) 1/4) (sqrt 0.5)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (pow (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) 1/4) (sqrt 0.5)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (pow (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) 1/4) (sqrt 0.5)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) (sqr (sqrt 0.5))) into (* (sqr (sqrt 0.5)) (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))) * [misc]approximate: Taking taylor expansion of (sqr (sqrt (* 0.5 (sqrt (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re)))))))) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (* 0.5 (sqrt (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re)))))))) in im * [misc]taylor: Taking taylor expansion of (sqrt (* 0.5 (sqrt (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re))))))) in im * [misc]taylor: Taking taylor expansion of (* 0.5 (sqrt (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re)))))) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (sqrt (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re))))) in im * [misc]taylor: Taking taylor expansion of (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re)))) in im * [misc]backup-simplify: Simplify (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re)))) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) * [misc]backup-simplify: Simplify (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) into (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))) into 0 * [misc]backup-simplify: Simplify (* 0.5 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)))) into (* 0.5 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)))) * [misc]backup-simplify: Simplify (sqrt (* 0.5 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))) into (* (pow (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) 1/4) (sqrt 0.5)) * [misc]backup-simplify: Simplify (+ (* 0.5 0) (* 0 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* 0.5 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (* 0.5 (sqrt (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re)))))))) in re * [misc]taylor: Taking taylor expansion of (sqrt (* 0.5 (sqrt (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re))))))) in re * [misc]taylor: Taking taylor expansion of (* 0.5 (sqrt (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re)))))) in re * [misc]taylor: Taking taylor expansion of 0.5 in re * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (sqrt (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re))))) in re * [misc]taylor: Taking taylor expansion of (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re)))) in re * [misc]backup-simplify: Simplify (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re)))) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) * [misc]backup-simplify: Simplify (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) into (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))) into 0 * [misc]backup-simplify: Simplify (* 0.5 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)))) into (* 0.5 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)))) * [misc]backup-simplify: Simplify (sqrt (* 0.5 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))) into (* (pow (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) 1/4) (sqrt 0.5)) * [misc]backup-simplify: Simplify (+ (* 0.5 0) (* 0 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* 0.5 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (* 0.5 (sqrt (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re)))))))) in re * [misc]taylor: Taking taylor expansion of (sqrt (* 0.5 (sqrt (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re))))))) in re * [misc]taylor: Taking taylor expansion of (* 0.5 (sqrt (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re)))))) in re * [misc]taylor: Taking taylor expansion of 0.5 in re * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (sqrt (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re))))) in re * [misc]taylor: Taking taylor expansion of (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re)))) in re * [misc]backup-simplify: Simplify (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re)))) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) * [misc]backup-simplify: Simplify (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) into (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))) into 0 * [misc]backup-simplify: Simplify (* 0.5 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)))) into (* 0.5 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)))) * [misc]backup-simplify: Simplify (sqrt (* 0.5 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))) into (* (pow (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) 1/4) (sqrt 0.5)) * [misc]backup-simplify: Simplify (+ (* 0.5 0) (* 0 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* 0.5 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))))) into 0 * [misc]backup-simplify: Simplify (* (* (pow (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) 1/4) (sqrt 0.5)) (* (pow (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) 1/4) (sqrt 0.5))) into (* (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) (sqr (sqrt 0.5))) * [misc]taylor: Taking taylor expansion of (* (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) (sqr (sqrt 0.5))) in im * [misc]taylor: Taking taylor expansion of (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) in im * [misc]taylor: Taking taylor expansion of (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) in im * [misc]backup-simplify: Simplify (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) * [misc]backup-simplify: Simplify (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) into (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))) into 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt 0.5)) in im * [misc]taylor: Taking taylor expansion of (sqrt 0.5) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]backup-simplify: Simplify (sqrt 0.5) into (sqrt 0.5) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 0.5))) into 0 * [misc]backup-simplify: Simplify (* (sqrt 0.5) (sqrt 0.5)) into (sqr (sqrt 0.5)) * [misc]backup-simplify: Simplify (* (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) (sqr (sqrt 0.5))) into (* (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) (sqr (sqrt 0.5))) * [misc]backup-simplify: Simplify (* (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) (sqr (sqrt 0.5))) into (* (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) (sqr (sqrt 0.5))) * [misc]backup-simplify: Simplify (+ (* (* (pow (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) 1/4) (sqrt 0.5)) 0) (* 0 (* (pow (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) 1/4) (sqrt 0.5)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt 0.5) 0) (* 0 (sqrt 0.5))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) 0) (* 0 (sqr (sqrt 0.5)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (* (pow (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) 1/4) (sqrt 0.5)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (pow (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) 1/4) (sqrt 0.5)) 0) (+ (* 0 0) (* 0 (* (pow (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) 1/4) (sqrt 0.5))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt 0.5))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt 0.5) 0) (+ (* 0 0) (* 0 (sqrt 0.5)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) 0) (+ (* 0 0) (* 0 (sqr (sqrt 0.5))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (* (pow (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) 1/4) (sqrt 0.5)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (pow (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) 1/4) (sqrt 0.5)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (pow (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) 1/4) (sqrt 0.5)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) (sqr (sqrt 0.5))) into (* (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) (sqr (sqrt 0.5))) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 1 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 1 2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr (sqrt (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (* (sqrt (fma (hypot re im) 2.0 (* re 2.0))) 0.5) * * * * [misc]progress: [ 2 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr (sqrt (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))) * * * * [misc]progress: [ 3 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr (sqrt (* 0.5 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (* (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) 0.5) * * * * [misc]progress: [ 4 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr (sqrt (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (* (sqrt (fma (hypot re im) 2.0 (* re 2.0))) 0.5) * * * * [misc]progress: [ 5 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr (sqrt (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))) * * * * [misc]progress: [ 6 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr (sqrt (* 0.5 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (* (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) 0.5) * * * * [misc]progress: [ 7 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr (* (pow (fma (hypot re im) 2.0 (* 2.0 re)) 1/4) (sqrt 0.5))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (* (* (pow (fma (hypot re im) 2.0 (* re 2.0)) 1/4) (pow (fma (hypot re im) 2.0 (* re 2.0)) 1/4)) 0.5) * * * * [misc]progress: [ 8 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr (* (sqrt 0.5) (pow (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) 1/4))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * [exit]simplify: Simplified to (* 0.5 (* (pow (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) 1/4) (pow (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) 1/4))) * * * * [misc]progress: [ 9 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr (* (pow (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) 1/4) (sqrt 0.5))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (* (sqr (pow (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) 1/4)) 0.5) * * * * [misc]progress: [ 10 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) (sqr (sqrt 0.5))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (* (sqrt (fma (hypot re im) 2.0 (* re 2.0))) 0.5) * * * * [misc]progress: [ 11 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqr (sqrt 0.5)) (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * [exit]simplify: Simplified to (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))) * * * * [misc]progress: [ 12 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) (sqr (sqrt 0.5))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (* 0.5 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)))) * * * * [misc]progress: [ 13 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (expm1 (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) * [exit]simplify: Simplified to (expm1 (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) * * * * [misc]progress: [ 14 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (log1p (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) * [exit]simplify: Simplified to (log1p (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) * * * * [misc]progress: [ 15 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (log (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) * [exit]simplify: Simplified to (log (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) * * * * [misc]progress: [ 18 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (exp (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) * [exit]simplify: Simplified to (exp (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) * * * * [misc]progress: [ 19 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) * [exit]simplify: Simplified to (cbrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) * * * * [misc]progress: [ 20 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (* (fma (hypot re im) 2.0 (* re 2.0)) (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) * [exit]simplify: Simplified to (* (fma (hypot re im) 2.0 (* re 2.0)) (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) * * * * [misc]progress: [ 21 / 59 ] 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 (fma (hypot re im) 2.0 (* 2.0 re))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (fma (hypot re im) 2.0 (* re 2.0))) * [exit]simplify: Simplified to (sqrt (fma (hypot re im) 2.0 (* re 2.0))) * * * * [misc]progress: [ 22 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) * [exit]simplify: Simplified to (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) * * * * [misc]progress: [ 23 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (fma (hypot re im) 2.0 (* 2.0 re))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (expm1 (fma (hypot re im) 2.0 (* re 2.0))) * [exit]simplify: Simplified to (expm1 (fma (hypot re im) 2.0 (* re 2.0))) * * * * [misc]progress: [ 26 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (fma (hypot re im) 2.0 (* 2.0 re))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (log1p (fma (hypot re im) 2.0 (* re 2.0))) * [exit]simplify: Simplified to (log1p (fma (hypot re im) 2.0 (* re 2.0))) * * * * [misc]progress: [ 27 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (* (hypot re im) 2.0) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (* (hypot re im) 2.0) * [exit]simplify: Simplified to (* (hypot re im) 2.0) * * * * [misc]progress: [ 28 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (log (fma (hypot re im) 2.0 (* 2.0 re))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (log (fma (hypot re im) 2.0 (* re 2.0))) * [exit]simplify: Simplified to (log (fma (hypot re im) 2.0 (* re 2.0))) * * * * [misc]progress: [ 30 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (fma (hypot re im) 2.0 (* 2.0 re))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (exp (fma (hypot re im) 2.0 (* re 2.0))) * [exit]simplify: Simplified to (exp (fma (hypot re im) 2.0 (* re 2.0))) * * * * [misc]progress: [ 31 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (fma (hypot re im) 2.0 (* 2.0 re))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (cbrt (fma (hypot re im) 2.0 (* re 2.0))) * [exit]simplify: Simplified to (cbrt (fma (hypot re im) 2.0 (* re 2.0))) * * * * [misc]progress: [ 32 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (fma (hypot re im) 2.0 (* 2.0 re))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * [exit]simplify: Simplified to (cube (fma (hypot re im) 2.0 (* re 2.0))) * [exit]simplify: Simplified to (cube (fma (hypot re im) 2.0 (* re 2.0))) * * * * [misc]progress: [ 33 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (fma (hypot re im) 2.0 (* re 2.0))) * [exit]simplify: Simplified to (sqrt (fma (hypot re im) 2.0 (* re 2.0))) * * * * [misc]progress: [ 34 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (sqrt (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (expm1 (sqrt (* (sqrt (fma (hypot re im) 2.0 (* re 2.0))) 0.5))) * [exit]simplify: Simplified to (expm1 (sqrt (* (sqrt (fma (hypot re im) 2.0 (* re 2.0))) 0.5))) * * * * [misc]progress: [ 36 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (sqrt (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (log1p (sqrt (* (sqrt (fma (hypot re im) 2.0 (* re 2.0))) 0.5))) * [exit]simplify: Simplified to (log1p (sqrt (* (sqrt (fma (hypot re im) 2.0 (* re 2.0))) 0.5))) * * * * [misc]progress: [ 37 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (log (sqrt (* (sqrt (fma (hypot re im) 2.0 (* re 2.0))) 0.5))) * [exit]simplify: Simplified to (log (sqrt (* (sqrt (fma (hypot re im) 2.0 (* re 2.0))) 0.5))) * * * * [misc]progress: [ 40 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (exp (sqrt (* (sqrt (fma (hypot re im) 2.0 (* re 2.0))) 0.5))) * [exit]simplify: Simplified to (exp (sqrt (* (sqrt (fma (hypot re im) 2.0 (* re 2.0))) 0.5))) * * * * [misc]progress: [ 41 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (* (sqrt (fma (hypot re im) 2.0 (* re 2.0))) 0.5))) * [exit]simplify: Simplified to (cbrt (sqrt (* (sqrt (fma (hypot re im) 2.0 (* re 2.0))) 0.5))) * * * * [misc]progress: [ 42 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (sqrt (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (* (* (sqrt (fma (hypot re im) 2.0 (* re 2.0))) 0.5) (sqrt (* (sqrt (fma (hypot re im) 2.0 (* re 2.0))) 0.5))) * [exit]simplify: Simplified to (* (* (sqrt (fma (hypot re im) 2.0 (* re 2.0))) 0.5) (sqrt (* (sqrt (fma (hypot re im) 2.0 (* re 2.0))) 0.5))) * * * * [misc]progress: [ 43 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 0.5) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 0.5) * [exit]simplify: Simplified to (sqrt 0.5) * [enter]simplify: Simplifying (sqrt (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) * [exit]simplify: Simplified to (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) * * * * [misc]progress: [ 44 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (* (sqrt (fma (hypot re im) 2.0 (* re 2.0))) 0.5))) * [exit]simplify: Simplified to (sqrt (sqrt (* (sqrt (fma (hypot re im) 2.0 (* re 2.0))) 0.5))) * * * * [misc]progress: [ 45 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (sqr (sqrt (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (expm1 (* (sqrt (fma (hypot re im) 2.0 (* re 2.0))) 0.5)) * [exit]simplify: Simplified to (expm1 (* (sqrt (fma (hypot re im) 2.0 (* re 2.0))) 0.5)) * * * * [misc]progress: [ 48 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (sqr (sqrt (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (log1p (* (sqrt (fma (hypot re im) 2.0 (* re 2.0))) 0.5)) * [exit]simplify: Simplified to (log1p (* (sqrt (fma (hypot re im) 2.0 (* re 2.0))) 0.5)) * * * * [misc]progress: [ 49 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqr (sqrt (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (log (* (sqrt (fma (hypot re im) 2.0 (* re 2.0))) 0.5)) * [exit]simplify: Simplified to (log (* (sqrt (fma (hypot re im) 2.0 (* re 2.0))) 0.5)) * * * * [misc]progress: [ 52 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqr (sqrt (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (pow (exp 0.5) (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) * [exit]simplify: Simplified to (pow (exp 0.5) (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) * * * * [misc]progress: [ 53 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqr (sqrt (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (cbrt (* (sqrt (fma (hypot re im) 2.0 (* re 2.0))) 0.5)) * [exit]simplify: Simplified to (cbrt (* (sqrt (fma (hypot re im) 2.0 (* re 2.0))) 0.5)) * * * * [misc]progress: [ 54 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (sqr (sqrt (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (89 enodes) * [exit]simplify: Simplified to (* (* (cube 0.5) (fma (hypot re im) 2.0 (* re 2.0))) (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) * [exit]simplify: Simplified to (* (* (cube 0.5) (fma (hypot re im) 2.0 (* re 2.0))) (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) * * * * [misc]progress: [ 55 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqr (sqrt (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * [exit]simplify: Simplified to (sqrt (* (sqrt (fma (hypot re im) 2.0 (* re 2.0))) 0.5)) * [exit]simplify: Simplified to (sqrt (* (sqrt (fma (hypot re im) 2.0 (* re 2.0))) 0.5)) * * * * [misc]progress: [ 56 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr (sqrt 0.5)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 0.5 * [exit]simplify: Simplified to 0.5 * [enter]simplify: Simplifying (sqr (sqrt (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (sqrt (fma (hypot re im) 2.0 (* re 2.0))) * [exit]simplify: Simplified to (sqrt (fma (hypot re im) 2.0 (* re 2.0))) * * * * [misc]progress: [ 57 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqr 1) * [exit]simplify: Simplified to (sqr 1) * [enter]simplify: Simplifying (sqr (sqrt (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (* (sqrt (fma (hypot re im) 2.0 (* re 2.0))) 0.5) * [exit]simplify: Simplified to (* (sqrt (fma (hypot re im) 2.0 (* re 2.0))) 0.5) * * * * [misc]progress: [ 58 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 59 / 59 ] simplifiying candidate # * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 3 / 3 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 1 1) * [misc]approximate: Taking taylor expansion of (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) in im * [misc]taylor: Taking taylor expansion of (fma (hypot re im) 2.0 (* 2.0 re)) in im * [misc]backup-simplify: Simplify (fma (hypot re im) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re)) * [misc]backup-simplify: Simplify (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) into (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) in re * [misc]taylor: Taking taylor expansion of (fma (hypot re im) 2.0 (* 2.0 re)) in re * [misc]backup-simplify: Simplify (fma (hypot re im) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re)) * [misc]backup-simplify: Simplify (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) into (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) in re * [misc]taylor: Taking taylor expansion of (fma (hypot re im) 2.0 (* 2.0 re)) in re * [misc]backup-simplify: Simplify (fma (hypot re im) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re)) * [misc]backup-simplify: Simplify (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) into (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) in im * [misc]taylor: Taking taylor expansion of (fma (hypot re im) 2.0 (* 2.0 re)) in im * [misc]backup-simplify: Simplify (fma (hypot re im) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re)) * [misc]backup-simplify: Simplify (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) into (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) into 0 * [misc]backup-simplify: Simplify (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) into (sqrt (fma (hypot re im) 2.0 (* 2.0 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]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (fma (hypot re im) 2.0 (* 2.0 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 (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (fma (hypot re im) 2.0 (* 2.0 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 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) into (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) * [misc]approximate: Taking taylor expansion of (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re)))) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re)))) in im * [misc]taylor: Taking taylor expansion of (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re))) in im * [misc]backup-simplify: Simplify (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re))) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) * [misc]backup-simplify: Simplify (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) into (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re)))) in re * [misc]taylor: Taking taylor expansion of (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re))) in re * [misc]backup-simplify: Simplify (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re))) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) * [misc]backup-simplify: Simplify (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) into (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re)))) in re * [misc]taylor: Taking taylor expansion of (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re))) in re * [misc]backup-simplify: Simplify (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re))) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) * [misc]backup-simplify: Simplify (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) into (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) in im * [misc]taylor: Taking taylor expansion of (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) in im * [misc]backup-simplify: Simplify (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) * [misc]backup-simplify: Simplify (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) into (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))) into 0 * [misc]backup-simplify: Simplify (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) into (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 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]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 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 (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 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 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) into (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) * [misc]approximate: Taking taylor expansion of (sqrt (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re))))) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re))))) in im * [misc]taylor: Taking taylor expansion of (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re)))) in im * [misc]backup-simplify: Simplify (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re)))) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) * [misc]backup-simplify: Simplify (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) into (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re))))) in re * [misc]taylor: Taking taylor expansion of (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re)))) in re * [misc]backup-simplify: Simplify (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re)))) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) * [misc]backup-simplify: Simplify (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) into (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re))))) in re * [misc]taylor: Taking taylor expansion of (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re)))) in re * [misc]backup-simplify: Simplify (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re)))) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) * [misc]backup-simplify: Simplify (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) into (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) in im * [misc]taylor: Taking taylor expansion of (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) in im * [misc]backup-simplify: Simplify (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) * [misc]backup-simplify: Simplify (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) into (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))) into 0 * [misc]backup-simplify: Simplify (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) into (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 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]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 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 (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 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 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) into (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 1 1 1) * [misc]approximate: Taking taylor expansion of (fma (hypot re im) 2.0 (* 2.0 re)) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (fma (hypot re im) 2.0 (* 2.0 re)) in im * [misc]backup-simplify: Simplify (fma (hypot re im) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re)) * [misc]taylor: Taking taylor expansion of (fma (hypot re im) 2.0 (* 2.0 re)) in re * [misc]backup-simplify: Simplify (fma (hypot re im) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re)) * [misc]taylor: Taking taylor expansion of (fma (hypot re im) 2.0 (* 2.0 re)) in re * [misc]backup-simplify: Simplify (fma (hypot re im) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re)) * [misc]taylor: Taking taylor expansion of (fma (hypot re im) 2.0 (* 2.0 re)) in im * [misc]backup-simplify: Simplify (fma (hypot re im) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re)) * [misc]backup-simplify: Simplify (fma (hypot re im) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 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 (fma (hypot re im) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re)) * [misc]approximate: Taking taylor expansion of (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re))) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re))) in im * [misc]backup-simplify: Simplify (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re))) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) * [misc]taylor: Taking taylor expansion of (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re))) in re * [misc]backup-simplify: Simplify (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re))) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) * [misc]taylor: Taking taylor expansion of (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re))) in re * [misc]backup-simplify: Simplify (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re))) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) * [misc]taylor: Taking taylor expansion of (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) in im * [misc]backup-simplify: Simplify (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) * [misc]backup-simplify: Simplify (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 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 (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) * [misc]approximate: Taking taylor expansion of (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re)))) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re)))) in im * [misc]backup-simplify: Simplify (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re)))) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) * [misc]taylor: Taking taylor expansion of (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re)))) in re * [misc]backup-simplify: Simplify (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re)))) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) * [misc]taylor: Taking taylor expansion of (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re)))) in re * [misc]backup-simplify: Simplify (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re)))) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) * [misc]taylor: Taking taylor expansion of (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) in im * [misc]backup-simplify: Simplify (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) * [misc]backup-simplify: Simplify (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 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 (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 1) * [misc]approximate: Taking taylor expansion of (sqrt (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))) in im * [misc]taylor: Taking taylor expansion of (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) in im * [misc]taylor: Taking taylor expansion of (fma (hypot re im) 2.0 (* 2.0 re)) in im * [misc]backup-simplify: Simplify (fma (hypot re im) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re)) * [misc]backup-simplify: Simplify (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) into (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))) into (pow (fma (hypot re im) 2.0 (* 2.0 re)) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))) in re * [misc]taylor: Taking taylor expansion of (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) in re * [misc]taylor: Taking taylor expansion of (fma (hypot re im) 2.0 (* 2.0 re)) in re * [misc]backup-simplify: Simplify (fma (hypot re im) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re)) * [misc]backup-simplify: Simplify (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) into (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))) into (pow (fma (hypot re im) 2.0 (* 2.0 re)) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))) in re * [misc]taylor: Taking taylor expansion of (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) in re * [misc]taylor: Taking taylor expansion of (fma (hypot re im) 2.0 (* 2.0 re)) in re * [misc]backup-simplify: Simplify (fma (hypot re im) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re)) * [misc]backup-simplify: Simplify (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) into (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))) into (pow (fma (hypot re im) 2.0 (* 2.0 re)) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))))) into 0 * [misc]taylor: Taking taylor expansion of (pow (fma (hypot re im) 2.0 (* 2.0 re)) 1/4) in im * [misc]taylor: Taking taylor expansion of (exp (* 1/4 (log (fma (hypot re im) 2.0 (* 2.0 re))))) in im * [misc]taylor: Taking taylor expansion of (* 1/4 (log (fma (hypot re im) 2.0 (* 2.0 re)))) 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 (log (fma (hypot re im) 2.0 (* 2.0 re))) in im * [misc]taylor: Taking taylor expansion of (fma (hypot re im) 2.0 (* 2.0 re)) in im * [misc]backup-simplify: Simplify (fma (hypot re im) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re)) * [misc]backup-simplify: Simplify (log (fma (hypot re im) 2.0 (* 2.0 re))) into (log (fma (hypot re im) 2.0 (* 2.0 re))) * [misc]backup-simplify: Simplify (* 1/4 (log (fma (hypot re im) 2.0 (* 2.0 re)))) into (* 1/4 (log (fma (hypot re im) 2.0 (* 2.0 re)))) * [misc]backup-simplify: Simplify (exp (* 1/4 (log (fma (hypot re im) 2.0 (* 2.0 re))))) into (pow (fma (hypot re im) 2.0 (* 2.0 re)) 1/4) * [misc]backup-simplify: Simplify (pow (fma (hypot re im) 2.0 (* 2.0 re)) 1/4) into (pow (fma (hypot re im) 2.0 (* 2.0 re)) 1/4) * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (fma (hypot re im) 2.0 (* 2.0 re)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (log (fma (hypot re im) 2.0 (* 2.0 re))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (log (fma (hypot re im) 2.0 (* 2.0 re))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (pow (fma (hypot re im) 2.0 (* 2.0 re)) 1/4))) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (fma (hypot re im) 2.0 (* 2.0 re)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (fma (hypot re im) 2.0 (* 2.0 re)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log (fma (hypot re im) 2.0 (* 2.0 re)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (log (fma (hypot re im) 2.0 (* 2.0 re))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (pow (fma (hypot re im) 2.0 (* 2.0 re)) 1/4))) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (fma (hypot re im) 2.0 (* 2.0 re)) 1/4) into (pow (fma (hypot re im) 2.0 (* 2.0 re)) 1/4) * [misc]approximate: Taking taylor expansion of (sqrt (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re))))) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re))))) in im * [misc]taylor: Taking taylor expansion of (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re)))) in im * [misc]taylor: Taking taylor expansion of (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re))) in im * [misc]backup-simplify: Simplify (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re))) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) * [misc]backup-simplify: Simplify (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) into (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))) into (pow (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re))))) in re * [misc]taylor: Taking taylor expansion of (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re)))) in re * [misc]taylor: Taking taylor expansion of (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re))) in re * [misc]backup-simplify: Simplify (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re))) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) * [misc]backup-simplify: Simplify (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) into (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))) into (pow (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re))))) in re * [misc]taylor: Taking taylor expansion of (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re)))) in re * [misc]taylor: Taking taylor expansion of (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re))) in re * [misc]backup-simplify: Simplify (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re))) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) * [misc]backup-simplify: Simplify (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) into (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))) into (pow (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))))) into 0 * [misc]taylor: Taking taylor expansion of (pow (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) 1/4) in im * [misc]taylor: Taking taylor expansion of (exp (* 1/4 (log (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))) in im * [misc]taylor: Taking taylor expansion of (* 1/4 (log (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))) 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 (log (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) in im * [misc]taylor: Taking taylor expansion of (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) in im * [misc]backup-simplify: Simplify (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) * [misc]backup-simplify: Simplify (log (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) into (log (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) * [misc]backup-simplify: Simplify (* 1/4 (log (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))) into (* 1/4 (log (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))) * [misc]backup-simplify: Simplify (exp (* 1/4 (log (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))) into (pow (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) 1/4) * [misc]backup-simplify: Simplify (pow (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) 1/4) into (pow (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) 1/4) * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (log (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (log (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (pow (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) 1/4))) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (log (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (pow (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) 1/4))) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) 1/4) into (pow (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) 1/4) * [misc]approximate: Taking taylor expansion of (sqrt (sqrt (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re)))))) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re)))))) in im * [misc]taylor: Taking taylor expansion of (sqrt (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re))))) in im * [misc]taylor: Taking taylor expansion of (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re)))) in im * [misc]backup-simplify: Simplify (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re)))) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) * [misc]backup-simplify: Simplify (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) into (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)))) into (pow (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re)))))) in re * [misc]taylor: Taking taylor expansion of (sqrt (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re))))) in re * [misc]taylor: Taking taylor expansion of (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re)))) in re * [misc]backup-simplify: Simplify (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re)))) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) * [misc]backup-simplify: Simplify (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) into (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)))) into (pow (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re)))))) in re * [misc]taylor: Taking taylor expansion of (sqrt (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re))))) in re * [misc]taylor: Taking taylor expansion of (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re)))) in re * [misc]backup-simplify: Simplify (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re)))) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) * [misc]backup-simplify: Simplify (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) into (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)))) into (pow (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)))))) into 0 * [misc]taylor: Taking taylor expansion of (pow (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) 1/4) in im * [misc]taylor: Taking taylor expansion of (exp (* 1/4 (log (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))) in im * [misc]taylor: Taking taylor expansion of (* 1/4 (log (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)))) 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 (log (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) in im * [misc]taylor: Taking taylor expansion of (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) in im * [misc]backup-simplify: Simplify (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) * [misc]backup-simplify: Simplify (log (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) into (log (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) * [misc]backup-simplify: Simplify (* 1/4 (log (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)))) into (* 1/4 (log (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)))) * [misc]backup-simplify: Simplify (exp (* 1/4 (log (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))) into (pow (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) 1/4) * [misc]backup-simplify: Simplify (pow (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) 1/4) into (pow (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) 1/4) * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (log (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (log (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (pow (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) 1/4))) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (log (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (pow (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) 1/4))) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) 1/4) into (pow (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) 1/4) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (sqr (sqrt (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) in im * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))) in im * [misc]taylor: Taking taylor expansion of (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) in im * [misc]taylor: Taking taylor expansion of (fma (hypot re im) 2.0 (* 2.0 re)) in im * [misc]backup-simplify: Simplify (fma (hypot re im) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re)) * [misc]backup-simplify: Simplify (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) into (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))) into (pow (fma (hypot re im) 2.0 (* 2.0 re)) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))))) into 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) in re * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))) in re * [misc]taylor: Taking taylor expansion of (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) in re * [misc]taylor: Taking taylor expansion of (fma (hypot re im) 2.0 (* 2.0 re)) in re * [misc]backup-simplify: Simplify (fma (hypot re im) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re)) * [misc]backup-simplify: Simplify (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) into (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))) into (pow (fma (hypot re im) 2.0 (* 2.0 re)) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))))) into 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) in re * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))) in re * [misc]taylor: Taking taylor expansion of (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) in re * [misc]taylor: Taking taylor expansion of (fma (hypot re im) 2.0 (* 2.0 re)) in re * [misc]backup-simplify: Simplify (fma (hypot re im) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re)) * [misc]backup-simplify: Simplify (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) into (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))) into (pow (fma (hypot re im) 2.0 (* 2.0 re)) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))))) into 0 * [misc]backup-simplify: Simplify (* (pow (fma (hypot re im) 2.0 (* 2.0 re)) 1/4) (pow (fma (hypot re im) 2.0 (* 2.0 re)) 1/4)) into (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) * [misc]taylor: Taking taylor expansion of (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) in im * [misc]taylor: Taking taylor expansion of (fma (hypot re im) 2.0 (* 2.0 re)) in im * [misc]backup-simplify: Simplify (fma (hypot re im) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re)) * [misc]backup-simplify: Simplify (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) into (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) into 0 * [misc]backup-simplify: Simplify (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) into (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) * [misc]backup-simplify: Simplify (+ (* (pow (fma (hypot re im) 2.0 (* 2.0 re)) 1/4) 0) (* 0 (pow (fma (hypot re im) 2.0 (* 2.0 re)) 1/4))) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (pow (fma (hypot re im) 2.0 (* 2.0 re)) 1/4))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (fma (hypot re im) 2.0 (* 2.0 re)) 1/4) 0) (+ (* 0 0) (* 0 (pow (fma (hypot re im) 2.0 (* 2.0 re)) 1/4)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (pow (fma (hypot re im) 2.0 (* 2.0 re)) 1/4))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (fma (hypot re im) 2.0 (* 2.0 re)) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (fma (hypot re im) 2.0 (* 2.0 re)) 1/4))))) 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 (fma (hypot re im) 2.0 (* 2.0 re))) into (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) * [misc]approximate: Taking taylor expansion of (sqr (sqrt (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re)))))) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re)))))) in im * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re))))) in im * [misc]taylor: Taking taylor expansion of (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re)))) in im * [misc]taylor: Taking taylor expansion of (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re))) in im * [misc]backup-simplify: Simplify (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re))) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) * [misc]backup-simplify: Simplify (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) into (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))) into (pow (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))))) into 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re)))))) in re * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re))))) in re * [misc]taylor: Taking taylor expansion of (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re)))) in re * [misc]taylor: Taking taylor expansion of (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re))) in re * [misc]backup-simplify: Simplify (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re))) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) * [misc]backup-simplify: Simplify (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) into (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))) into (pow (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))))) into 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re)))))) in re * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re))))) in re * [misc]taylor: Taking taylor expansion of (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re)))) in re * [misc]taylor: Taking taylor expansion of (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re))) in re * [misc]backup-simplify: Simplify (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re))) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) * [misc]backup-simplify: Simplify (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) into (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))) into (pow (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))))) into 0 * [misc]backup-simplify: Simplify (* (pow (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) 1/4) (pow (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) 1/4)) into (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) * [misc]taylor: Taking taylor expansion of (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) in im * [misc]taylor: Taking taylor expansion of (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) in im * [misc]backup-simplify: Simplify (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) * [misc]backup-simplify: Simplify (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) into (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))) into 0 * [misc]backup-simplify: Simplify (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) into (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) * [misc]backup-simplify: Simplify (+ (* (pow (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) 1/4) 0) (* 0 (pow (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) 1/4))) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (pow (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) 1/4))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) 1/4) 0) (+ (* 0 0) (* 0 (pow (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) 1/4)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (pow (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) 1/4))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) 1/4))))) 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 (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) into (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) * [misc]approximate: Taking taylor expansion of (sqr (sqrt (sqrt (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re))))))) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (sqrt (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re))))))) in im * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re)))))) in im * [misc]taylor: Taking taylor expansion of (sqrt (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re))))) in im * [misc]taylor: Taking taylor expansion of (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re)))) in im * [misc]backup-simplify: Simplify (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re)))) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) * [misc]backup-simplify: Simplify (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) into (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)))) into (pow (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)))))) into 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (sqrt (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re))))))) in re * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re)))))) in re * [misc]taylor: Taking taylor expansion of (sqrt (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re))))) in re * [misc]taylor: Taking taylor expansion of (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re)))) in re * [misc]backup-simplify: Simplify (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re)))) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) * [misc]backup-simplify: Simplify (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) into (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)))) into (pow (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)))))) into 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (sqrt (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re))))))) in re * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re)))))) in re * [misc]taylor: Taking taylor expansion of (sqrt (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re))))) in re * [misc]taylor: Taking taylor expansion of (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re)))) in re * [misc]backup-simplify: Simplify (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re)))) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) * [misc]backup-simplify: Simplify (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) into (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)))) into (pow (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)))))) into 0 * [misc]backup-simplify: Simplify (* (pow (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) 1/4) (pow (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) 1/4)) into (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) * [misc]taylor: Taking taylor expansion of (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) in im * [misc]taylor: Taking taylor expansion of (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) in im * [misc]backup-simplify: Simplify (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) * [misc]backup-simplify: Simplify (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) into (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))) into 0 * [misc]backup-simplify: Simplify (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) into (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) * [misc]backup-simplify: Simplify (+ (* (pow (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) 1/4) 0) (* 0 (pow (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) 1/4))) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (pow (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) 1/4))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) 1/4) 0) (+ (* 0 0) (* 0 (pow (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) 1/4)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (pow (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) 1/4))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) 1/4))))) 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 (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) into (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 1 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 1 1 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (* 0.5 (sqr (sqrt (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (* (sqrt (fma (hypot re im) 2.0 (* re 2.0))) 0.5) * * * * [misc]progress: [ 2 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (* 0.5 (sqr (sqrt (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))) * * * * [misc]progress: [ 3 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (* 0.5 (sqr (sqrt (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (* (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) 0.5) * * * * [misc]progress: [ 4 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (* 0.5 (sqr (sqrt (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (* (sqrt (fma (hypot re im) 2.0 (* re 2.0))) 0.5) * * * * [misc]progress: [ 5 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (* 0.5 (sqr (sqrt (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))) * * * * [misc]progress: [ 6 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (* 0.5 (sqr (sqrt (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (* (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) 0.5) * * * * [misc]progress: [ 7 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (* 0.5 (sqr (pow (fma (hypot re im) 2.0 (* 2.0 re)) 1/4))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (* (* 0.5 (pow (fma (hypot re im) 2.0 (* re 2.0)) 1/4)) (pow (fma (hypot re im) 2.0 (* re 2.0)) 1/4)) * * * * [misc]progress: [ 8 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (* 0.5 (sqr (pow (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) 1/4))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (* 0.5 (sqr (pow (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) 1/4))) * * * * [misc]progress: [ 9 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (* 0.5 (sqr (pow (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) 1/4))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (* (pow (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) 1/4) (* 0.5 (pow (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) 1/4))) * * * * [misc]progress: [ 10 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (* (sqrt (fma (hypot re im) 2.0 (* re 2.0))) 0.5) * * * * [misc]progress: [ 11 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))) * * * * [misc]progress: [ 12 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (* 0.5 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (* (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) 0.5) * * * * [misc]progress: [ 13 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (expm1 (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) * [exit]simplify: Simplified to (expm1 (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) * * * * [misc]progress: [ 14 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (log1p (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) * [exit]simplify: Simplified to (log1p (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) * * * * [misc]progress: [ 15 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (log (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) * [exit]simplify: Simplified to (log (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) * * * * [misc]progress: [ 18 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (exp (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) * [exit]simplify: Simplified to (exp (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) * * * * [misc]progress: [ 19 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) * [exit]simplify: Simplified to (cbrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) * * * * [misc]progress: [ 20 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (* (fma (hypot re im) 2.0 (* re 2.0)) (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) * [exit]simplify: Simplified to (* (fma (hypot re im) 2.0 (* re 2.0)) (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) * * * * [misc]progress: [ 21 / 61 ] 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 (fma (hypot re im) 2.0 (* 2.0 re))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (fma (hypot re im) 2.0 (* re 2.0))) * [exit]simplify: Simplified to (sqrt (fma (hypot re im) 2.0 (* re 2.0))) * * * * [misc]progress: [ 22 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) * [exit]simplify: Simplified to (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) * * * * [misc]progress: [ 23 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (fma (hypot re im) 2.0 (* 2.0 re))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (expm1 (fma (hypot re im) 2.0 (* re 2.0))) * [exit]simplify: Simplified to (expm1 (fma (hypot re im) 2.0 (* re 2.0))) * * * * [misc]progress: [ 26 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (fma (hypot re im) 2.0 (* 2.0 re))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (log1p (fma (hypot re im) 2.0 (* re 2.0))) * [exit]simplify: Simplified to (log1p (fma (hypot re im) 2.0 (* re 2.0))) * * * * [misc]progress: [ 27 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (* (hypot re im) 2.0) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (* (hypot re im) 2.0) * [exit]simplify: Simplified to (* (hypot re im) 2.0) * * * * [misc]progress: [ 28 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (log (fma (hypot re im) 2.0 (* 2.0 re))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (log (fma (hypot re im) 2.0 (* re 2.0))) * [exit]simplify: Simplified to (log (fma (hypot re im) 2.0 (* re 2.0))) * * * * [misc]progress: [ 30 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (fma (hypot re im) 2.0 (* 2.0 re))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (exp (fma (hypot re im) 2.0 (* re 2.0))) * [exit]simplify: Simplified to (exp (fma (hypot re im) 2.0 (* re 2.0))) * * * * [misc]progress: [ 31 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (fma (hypot re im) 2.0 (* 2.0 re))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (cbrt (fma (hypot re im) 2.0 (* re 2.0))) * [exit]simplify: Simplified to (cbrt (fma (hypot re im) 2.0 (* re 2.0))) * * * * [misc]progress: [ 32 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (fma (hypot re im) 2.0 (* 2.0 re))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * [exit]simplify: Simplified to (cube (fma (hypot re im) 2.0 (* re 2.0))) * [exit]simplify: Simplified to (cube (fma (hypot re im) 2.0 (* re 2.0))) * * * * [misc]progress: [ 33 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (fma (hypot re im) 2.0 (* re 2.0))) * [exit]simplify: Simplified to (sqrt (fma (hypot re im) 2.0 (* re 2.0))) * * * * [misc]progress: [ 34 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (sqrt (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (expm1 (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))) * [exit]simplify: Simplified to (expm1 (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))) * * * * [misc]progress: [ 36 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (sqrt (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (log1p (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))) * [exit]simplify: Simplified to (log1p (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))) * * * * [misc]progress: [ 37 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (log (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))) * [exit]simplify: Simplified to (log (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))) * * * * [misc]progress: [ 40 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (exp (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))) * [exit]simplify: Simplified to (exp (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))) * * * * [misc]progress: [ 41 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))) * [exit]simplify: Simplified to (cbrt (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))) * * * * [misc]progress: [ 42 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (sqrt (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) * [exit]simplify: Simplified to (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) * * * * [misc]progress: [ 43 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt 1)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (sqrt (sqrt 1)) * [exit]simplify: Simplified to (sqrt (sqrt 1)) * [enter]simplify: Simplifying (sqrt (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) * [exit]simplify: Simplified to (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) * * * * [misc]progress: [ 44 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [exit]simplify: Simplified to (sqrt 1) * [enter]simplify: Simplifying (sqrt (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) * [exit]simplify: Simplified to (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) * * * * [misc]progress: [ 45 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))) * [exit]simplify: Simplified to (sqrt (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))) * * * * [misc]progress: [ 46 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (sqr (sqrt (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (expm1 (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) * [exit]simplify: Simplified to (expm1 (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) * * * * [misc]progress: [ 49 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (sqr (sqrt (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (log1p (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) * [exit]simplify: Simplified to (log1p (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) * * * * [misc]progress: [ 50 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqr (sqrt (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (log (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) * [exit]simplify: Simplified to (log (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) * * * * [misc]progress: [ 53 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqr (sqrt (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (exp (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) * [exit]simplify: Simplified to (exp (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) * * * * [misc]progress: [ 54 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqr (sqrt (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) * [exit]simplify: Simplified to (cbrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) * * * * [misc]progress: [ 55 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (sqr (sqrt (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * [exit]simplify: Simplified to (* (fma (hypot re im) 2.0 (* re 2.0)) (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) * [exit]simplify: Simplified to (* (fma (hypot re im) 2.0 (* re 2.0)) (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) * * * * [misc]progress: [ 56 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqr (sqrt (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) * [exit]simplify: Simplified to (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) * * * * [misc]progress: [ 57 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr (sqrt (sqrt 1))) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: iters left: 1 (8 enodes) * [exit]simplify: Simplified to (sqrt 1) * [exit]simplify: Simplified to (sqrt 1) * [enter]simplify: Simplifying (sqr (sqrt (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (sqrt (fma (hypot re im) 2.0 (* re 2.0))) * [exit]simplify: Simplified to (sqrt (fma (hypot re im) 2.0 (* re 2.0))) * * * * [misc]progress: [ 58 / 61 ] 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 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (sqrt (fma (hypot re im) 2.0 (* re 2.0))) * [exit]simplify: Simplified to (sqrt (fma (hypot re im) 2.0 (* re 2.0))) * * * * [misc]progress: [ 59 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqr 1) * [exit]simplify: Simplified to (sqr 1) * [enter]simplify: Simplifying (sqr (sqrt (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (sqrt (fma (hypot re im) 2.0 (* re 2.0))) * [exit]simplify: Simplified to (sqrt (fma (hypot re im) 2.0 (* re 2.0))) * * * * [misc]progress: [ 60 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 61 / 61 ] simplifiying candidate # * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime-changes: Finding splitpoints for: (# # # # # # # # # #) * [misc]regimes: Found splitpoints: (#s(sp 0 (+ (* re re) (* im im)) +inf.0)) , with alts (#) * [enter]simplify: Simplifying (* 0.5 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (* (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) 0.5) * [enter]simplify: Simplifying (sqr (* (sqrt 0.5) (pow (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) 1/4))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * [exit]simplify: Simplified to (* 0.5 (* (pow (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) 1/4) (pow (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) 1/4))) * [enter]simplify: Simplifying (sqr (* (pow (fma (hypot re im) 2.0 (* 2.0 re)) 1/4) (sqrt 0.5))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (* (* (pow (fma (hypot re im) 2.0 (* re 2.0)) 1/4) (pow (fma (hypot re im) 2.0 (* re 2.0)) 1/4)) 0.5) * [enter]simplify: Simplifying (cbrt (sqrt (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))) * [exit]simplify: Simplified to (cbrt (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))) * [enter]simplify: Simplifying (exp (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (exp (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) * [exit]simplify: Simplified to (exp (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) * [enter]simplify: Simplifying (sqr (pow (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) 1/4)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (sqr (pow (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) 1/4)) * [exit]simplify: Simplified to (sqr (pow (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) 1/4)) * [enter]simplify: Simplifying (sqrt (sqrt (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))) * [exit]simplify: Simplified to (sqrt (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))) * [enter]simplify: Simplifying (log (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (log (* (sqrt (fma (hypot re im) 2.0 (* re 2.0))) 0.5)) * [exit]simplify: Simplified to (log (* (sqrt (fma (hypot re im) 2.0 (* re 2.0))) 0.5)) * [enter]simplify: Simplifying (sqrt (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) * [exit]simplify: Simplified to (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) * [enter]simplify: Simplifying (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (fma (hypot re im) 2.0 (* re 2.0))) * [exit]simplify: Simplified to (sqrt (fma (hypot re im) 2.0 (* re 2.0)))