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