* [misc]progress: [Phase 1 of 3] Setting up. * * * [misc]progress: [1/2] Preparing points * * * [misc]progress: [2/2] Setting up program. * [enter]simplify: Simplifying (atan2 im re) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to (atan2 im 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 / 1 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (atan2 im re) in (im re) around 0 * [misc]taylor: Taking taylor expansion of (atan2 im re) in re * [misc]backup-simplify: Simplify (atan2 im re) into (atan2 im re) * [misc]taylor: Taking taylor expansion of (atan2 im re) in im * [misc]backup-simplify: Simplify (atan2 im re) into (atan2 im re) * [misc]taylor: Taking taylor expansion of (atan2 im re) in im * [misc]backup-simplify: Simplify (atan2 im re) into (atan2 im re) * [misc]taylor: Taking taylor expansion of (atan2 im re) in re * [misc]backup-simplify: Simplify (atan2 im re) into (atan2 im re) * [misc]backup-simplify: Simplify (atan2 im re) into (atan2 im re) * [misc]taylor: Taking taylor expansion of 0 in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan2 im re) into (atan2 im re) * [misc]approximate: Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in (im re) around 0 * [misc]taylor: Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in re * [misc]backup-simplify: Simplify (atan2 (/ 1 im) (/ 1 re)) into (atan2 (/ 1 im) (/ 1 re)) * [misc]taylor: Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in im * [misc]backup-simplify: Simplify (atan2 (/ 1 im) (/ 1 re)) into (atan2 (/ 1 im) (/ 1 re)) * [misc]taylor: Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in im * [misc]backup-simplify: Simplify (atan2 (/ 1 im) (/ 1 re)) into (atan2 (/ 1 im) (/ 1 re)) * [misc]taylor: Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in re * [misc]backup-simplify: Simplify (atan2 (/ 1 im) (/ 1 re)) into (atan2 (/ 1 im) (/ 1 re)) * [misc]backup-simplify: Simplify (atan2 (/ 1 im) (/ 1 re)) into (atan2 (/ 1 im) (/ 1 re)) * [misc]taylor: Taking taylor expansion of 0 in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan2 (/ 1 im) (/ 1 re)) into (atan2 (/ 1 im) (/ 1 re)) * [misc]approximate: Taking taylor expansion of (atan2 (/ 1 (- im)) (/ 1 (- re))) in (im re) around 0 * [misc]taylor: Taking taylor expansion of (atan2 (/ 1 (- im)) (/ 1 (- re))) in re * [misc]backup-simplify: Simplify (atan2 (/ 1 (- im)) (/ 1 (- re))) into (atan2 (/ -1 im) (/ -1 re)) * [misc]taylor: Taking taylor expansion of (atan2 (/ 1 (- im)) (/ 1 (- re))) in im * [misc]backup-simplify: Simplify (atan2 (/ 1 (- im)) (/ 1 (- re))) into (atan2 (/ -1 im) (/ -1 re)) * [misc]taylor: Taking taylor expansion of (atan2 (/ 1 (- im)) (/ 1 (- re))) in im * [misc]backup-simplify: Simplify (atan2 (/ 1 (- im)) (/ 1 (- re))) into (atan2 (/ -1 im) (/ -1 re)) * [misc]taylor: Taking taylor expansion of (atan2 (/ -1 im) (/ -1 re)) in re * [misc]backup-simplify: Simplify (atan2 (/ -1 im) (/ -1 re)) into (atan2 (/ -1 im) (/ -1 re)) * [misc]backup-simplify: Simplify (atan2 (/ -1 im) (/ -1 re)) into (atan2 (/ -1 im) (/ -1 re)) * [misc]taylor: Taking taylor expansion of 0 in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan2 (/ -1 im) (/ -1 re)) into (atan2 (/ -1 im) (/ -1 re)) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 1 ] rewriting at (2) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 12 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 im re) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to (atan2 im re) * * * * [misc]progress: [ 2 / 12 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 (/ 1 im) (/ 1 re)) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (atan2 (/ 1 im) (/ 1 re)) * * * * [misc]progress: [ 3 / 12 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 (/ -1 im) (/ -1 re)) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (atan2 (/ -1 im) (/ -1 re)) * * * * [misc]progress: [ 4 / 12 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (atan2 im re)) * * [misc]simplify: iters left: 2 (4 enodes) * [exit]simplify: Simplified to (expm1 (atan2 im re)) * [exit]simplify: Simplified to (expm1 (atan2 im re)) * * * * [misc]progress: [ 5 / 12 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (atan2 im re)) * * [misc]simplify: iters left: 2 (4 enodes) * [exit]simplify: Simplified to (log1p (atan2 im re)) * [exit]simplify: Simplified to (log1p (atan2 im re)) * * * * [misc]progress: [ 6 / 12 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 12 ] simplifiying candidate # * [enter]simplify: Simplifying (log (atan2 im re)) * * [misc]simplify: iters left: 2 (4 enodes) * [exit]simplify: Simplified to (log (atan2 im re)) * [exit]simplify: Simplified to (log (atan2 im re)) * * * * [misc]progress: [ 8 / 12 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (atan2 im re)) * * [misc]simplify: iters left: 2 (4 enodes) * [exit]simplify: Simplified to (exp (atan2 im re)) * [exit]simplify: Simplified to (exp (atan2 im re)) * * * * [misc]progress: [ 9 / 12 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (atan2 im re)) * * [misc]simplify: iters left: 2 (4 enodes) * [exit]simplify: Simplified to (cbrt (atan2 im re)) * [exit]simplify: Simplified to (cbrt (atan2 im re)) * * * * [misc]progress: [ 10 / 12 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (atan2 im re)) * * [misc]simplify: iters left: 2 (4 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to (cube (atan2 im re)) * [exit]simplify: Simplified to (cube (atan2 im re)) * * * * [misc]progress: [ 11 / 12 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (atan2 im re)) * * [misc]simplify: iters left: 2 (4 enodes) * [exit]simplify: Simplified to (sqrt (atan2 im re)) * [exit]simplify: Simplified to (sqrt (atan2 im re)) * * * * [misc]progress: [ 12 / 12 ] 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 / 3 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (cbrt (atan2 im re)) in (im re) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (atan2 im re)) in re * [misc]backup-simplify: Simplify (cbrt (atan2 im re)) into (cbrt (atan2 im re)) * [misc]taylor: Taking taylor expansion of (cbrt (atan2 im re)) in im * [misc]backup-simplify: Simplify (cbrt (atan2 im re)) into (cbrt (atan2 im re)) * [misc]taylor: Taking taylor expansion of (cbrt (atan2 im re)) in im * [misc]backup-simplify: Simplify (cbrt (atan2 im re)) into (cbrt (atan2 im re)) * [misc]taylor: Taking taylor expansion of (cbrt (atan2 im re)) in re * [misc]backup-simplify: Simplify (cbrt (atan2 im re)) into (cbrt (atan2 im re)) * [misc]backup-simplify: Simplify (cbrt (atan2 im re)) into (cbrt (atan2 im re)) * [misc]taylor: Taking taylor expansion of 0 in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cbrt (atan2 im re)) into (cbrt (atan2 im re)) * [misc]approximate: Taking taylor expansion of (cbrt (atan2 (/ 1 im) (/ 1 re))) in (im re) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (atan2 (/ 1 im) (/ 1 re))) in re * [misc]backup-simplify: Simplify (cbrt (atan2 (/ 1 im) (/ 1 re))) into (cbrt (atan2 (/ 1 im) (/ 1 re))) * [misc]taylor: Taking taylor expansion of (cbrt (atan2 (/ 1 im) (/ 1 re))) in im * [misc]backup-simplify: Simplify (cbrt (atan2 (/ 1 im) (/ 1 re))) into (cbrt (atan2 (/ 1 im) (/ 1 re))) * [misc]taylor: Taking taylor expansion of (cbrt (atan2 (/ 1 im) (/ 1 re))) in im * [misc]backup-simplify: Simplify (cbrt (atan2 (/ 1 im) (/ 1 re))) into (cbrt (atan2 (/ 1 im) (/ 1 re))) * [misc]taylor: Taking taylor expansion of (cbrt (atan2 (/ 1 im) (/ 1 re))) in re * [misc]backup-simplify: Simplify (cbrt (atan2 (/ 1 im) (/ 1 re))) into (cbrt (atan2 (/ 1 im) (/ 1 re))) * [misc]backup-simplify: Simplify (cbrt (atan2 (/ 1 im) (/ 1 re))) into (cbrt (atan2 (/ 1 im) (/ 1 re))) * [misc]taylor: Taking taylor expansion of 0 in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cbrt (atan2 (/ 1 im) (/ 1 re))) into (cbrt (atan2 (/ 1 im) (/ 1 re))) * [misc]approximate: Taking taylor expansion of (cbrt (atan2 (/ 1 (- im)) (/ 1 (- re)))) in (im re) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (atan2 (/ 1 (- im)) (/ 1 (- re)))) in re * [misc]backup-simplify: Simplify (cbrt (atan2 (/ 1 (- im)) (/ 1 (- re)))) into (cbrt (atan2 (/ -1 im) (/ -1 re))) * [misc]taylor: Taking taylor expansion of (cbrt (atan2 (/ 1 (- im)) (/ 1 (- re)))) in im * [misc]backup-simplify: Simplify (cbrt (atan2 (/ 1 (- im)) (/ 1 (- re)))) into (cbrt (atan2 (/ -1 im) (/ -1 re))) * [misc]taylor: Taking taylor expansion of (cbrt (atan2 (/ 1 (- im)) (/ 1 (- re)))) in im * [misc]backup-simplify: Simplify (cbrt (atan2 (/ 1 (- im)) (/ 1 (- re)))) into (cbrt (atan2 (/ -1 im) (/ -1 re))) * [misc]taylor: Taking taylor expansion of (cbrt (atan2 (/ -1 im) (/ -1 re))) in re * [misc]backup-simplify: Simplify (cbrt (atan2 (/ -1 im) (/ -1 re))) into (cbrt (atan2 (/ -1 im) (/ -1 re))) * [misc]backup-simplify: Simplify (cbrt (atan2 (/ -1 im) (/ -1 re))) into (cbrt (atan2 (/ -1 im) (/ -1 re))) * [misc]taylor: Taking taylor expansion of 0 in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cbrt (atan2 (/ -1 im) (/ -1 re))) into (cbrt (atan2 (/ -1 im) (/ -1 re))) * * * * [misc]progress: [ 2 / 3 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (cube (cbrt (atan2 im re))) in (im re) around 0 * [misc]taylor: Taking taylor expansion of (cube (cbrt (atan2 im re))) in re * [misc]backup-simplify: Simplify (cube (cbrt (atan2 im re))) into (atan2 im re) * [misc]taylor: Taking taylor expansion of (cube (cbrt (atan2 im re))) in im * [misc]backup-simplify: Simplify (cube (cbrt (atan2 im re))) into (atan2 im re) * [misc]taylor: Taking taylor expansion of (cube (cbrt (atan2 im re))) in im * [misc]backup-simplify: Simplify (cube (cbrt (atan2 im re))) into (atan2 im re) * [misc]taylor: Taking taylor expansion of (atan2 im re) in re * [misc]backup-simplify: Simplify (atan2 im re) into (atan2 im re) * [misc]backup-simplify: Simplify (atan2 im re) into (atan2 im re) * [misc]taylor: Taking taylor expansion of 0 in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan2 im re) into (atan2 im re) * [misc]approximate: Taking taylor expansion of (cube (cbrt (atan2 (/ 1 im) (/ 1 re)))) in (im re) around 0 * [misc]taylor: Taking taylor expansion of (cube (cbrt (atan2 (/ 1 im) (/ 1 re)))) in re * [misc]backup-simplify: Simplify (cube (cbrt (atan2 (/ 1 im) (/ 1 re)))) into (atan2 (/ 1 im) (/ 1 re)) * [misc]taylor: Taking taylor expansion of (cube (cbrt (atan2 (/ 1 im) (/ 1 re)))) in im * [misc]backup-simplify: Simplify (cube (cbrt (atan2 (/ 1 im) (/ 1 re)))) into (atan2 (/ 1 im) (/ 1 re)) * [misc]taylor: Taking taylor expansion of (cube (cbrt (atan2 (/ 1 im) (/ 1 re)))) in im * [misc]backup-simplify: Simplify (cube (cbrt (atan2 (/ 1 im) (/ 1 re)))) into (atan2 (/ 1 im) (/ 1 re)) * [misc]taylor: Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in re * [misc]backup-simplify: Simplify (atan2 (/ 1 im) (/ 1 re)) into (atan2 (/ 1 im) (/ 1 re)) * [misc]backup-simplify: Simplify (atan2 (/ 1 im) (/ 1 re)) into (atan2 (/ 1 im) (/ 1 re)) * [misc]taylor: Taking taylor expansion of 0 in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan2 (/ 1 im) (/ 1 re)) into (atan2 (/ 1 im) (/ 1 re)) * [misc]approximate: Taking taylor expansion of (cube (cbrt (atan2 (/ 1 (- im)) (/ 1 (- re))))) in (im re) around 0 * [misc]taylor: Taking taylor expansion of (cube (cbrt (atan2 (/ 1 (- im)) (/ 1 (- re))))) in re * [misc]backup-simplify: Simplify (cube (cbrt (atan2 (/ 1 (- im)) (/ 1 (- re))))) into (atan2 (/ -1 im) (/ -1 re)) * [misc]taylor: Taking taylor expansion of (cube (cbrt (atan2 (/ 1 (- im)) (/ 1 (- re))))) in im * [misc]backup-simplify: Simplify (cube (cbrt (atan2 (/ 1 (- im)) (/ 1 (- re))))) into (atan2 (/ -1 im) (/ -1 re)) * [misc]taylor: Taking taylor expansion of (cube (cbrt (atan2 (/ 1 (- im)) (/ 1 (- re))))) in im * [misc]backup-simplify: Simplify (cube (cbrt (atan2 (/ 1 (- im)) (/ 1 (- re))))) into (atan2 (/ -1 im) (/ -1 re)) * [misc]taylor: Taking taylor expansion of (atan2 (/ -1 im) (/ -1 re)) in re * [misc]backup-simplify: Simplify (atan2 (/ -1 im) (/ -1 re)) into (atan2 (/ -1 im) (/ -1 re)) * [misc]backup-simplify: Simplify (atan2 (/ -1 im) (/ -1 re)) into (atan2 (/ -1 im) (/ -1 re)) * [misc]taylor: Taking taylor expansion of 0 in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan2 (/ -1 im) (/ -1 re)) into (atan2 (/ -1 im) (/ -1 re)) * * * * [misc]progress: [ 3 / 3 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (atan2 im re) in (im re) around 0 * [misc]taylor: Taking taylor expansion of (atan2 im re) in re * [misc]backup-simplify: Simplify (atan2 im re) into (atan2 im re) * [misc]taylor: Taking taylor expansion of (atan2 im re) in im * [misc]backup-simplify: Simplify (atan2 im re) into (atan2 im re) * [misc]taylor: Taking taylor expansion of (atan2 im re) in im * [misc]backup-simplify: Simplify (atan2 im re) into (atan2 im re) * [misc]taylor: Taking taylor expansion of (atan2 im re) in re * [misc]backup-simplify: Simplify (atan2 im re) into (atan2 im re) * [misc]backup-simplify: Simplify (atan2 im re) into (atan2 im re) * [misc]taylor: Taking taylor expansion of 0 in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan2 im re) into (atan2 im re) * [misc]approximate: Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in (im re) around 0 * [misc]taylor: Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in re * [misc]backup-simplify: Simplify (atan2 (/ 1 im) (/ 1 re)) into (atan2 (/ 1 im) (/ 1 re)) * [misc]taylor: Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in im * [misc]backup-simplify: Simplify (atan2 (/ 1 im) (/ 1 re)) into (atan2 (/ 1 im) (/ 1 re)) * [misc]taylor: Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in im * [misc]backup-simplify: Simplify (atan2 (/ 1 im) (/ 1 re)) into (atan2 (/ 1 im) (/ 1 re)) * [misc]taylor: Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in re * [misc]backup-simplify: Simplify (atan2 (/ 1 im) (/ 1 re)) into (atan2 (/ 1 im) (/ 1 re)) * [misc]backup-simplify: Simplify (atan2 (/ 1 im) (/ 1 re)) into (atan2 (/ 1 im) (/ 1 re)) * [misc]taylor: Taking taylor expansion of 0 in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan2 (/ 1 im) (/ 1 re)) into (atan2 (/ 1 im) (/ 1 re)) * [misc]approximate: Taking taylor expansion of (atan2 (/ 1 (- im)) (/ 1 (- re))) in (im re) around 0 * [misc]taylor: Taking taylor expansion of (atan2 (/ 1 (- im)) (/ 1 (- re))) in re * [misc]backup-simplify: Simplify (atan2 (/ 1 (- im)) (/ 1 (- re))) into (atan2 (/ -1 im) (/ -1 re)) * [misc]taylor: Taking taylor expansion of (atan2 (/ 1 (- im)) (/ 1 (- re))) in im * [misc]backup-simplify: Simplify (atan2 (/ 1 (- im)) (/ 1 (- re))) into (atan2 (/ -1 im) (/ -1 re)) * [misc]taylor: Taking taylor expansion of (atan2 (/ 1 (- im)) (/ 1 (- re))) in im * [misc]backup-simplify: Simplify (atan2 (/ 1 (- im)) (/ 1 (- re))) into (atan2 (/ -1 im) (/ -1 re)) * [misc]taylor: Taking taylor expansion of (atan2 (/ -1 im) (/ -1 re)) in re * [misc]backup-simplify: Simplify (atan2 (/ -1 im) (/ -1 re)) into (atan2 (/ -1 im) (/ -1 re)) * [misc]backup-simplify: Simplify (atan2 (/ -1 im) (/ -1 re)) into (atan2 (/ -1 im) (/ -1 re)) * [misc]taylor: Taking taylor expansion of 0 in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan2 (/ -1 im) (/ -1 re)) into (atan2 (/ -1 im) (/ -1 re)) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 3 ] rewriting at (2 1) * * * * [misc]progress: [ 2 / 3 ] rewriting at (2) * * * * [misc]progress: [ 3 / 3 ] rewriting at (2 1 1) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt (atan2 im re))) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: iters left: 1 (9 enodes) * [exit]simplify: Simplified to (atan2 im re) * * * * [misc]progress: [ 2 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt (atan2 (/ 1 im) (/ 1 re)))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (atan2 (/ 1 im) (/ 1 re)) * * * * [misc]progress: [ 3 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt (atan2 (/ -1 im) (/ -1 re)))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (atan2 (/ -1 im) (/ -1 re)) * * * * [misc]progress: [ 4 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 im re) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to (atan2 im re) * * * * [misc]progress: [ 5 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 (/ 1 im) (/ 1 re)) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (atan2 (/ 1 im) (/ 1 re)) * * * * [misc]progress: [ 6 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 (/ -1 im) (/ -1 re)) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (atan2 (/ -1 im) (/ -1 re)) * * * * [misc]progress: [ 7 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt (atan2 im re))) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: iters left: 1 (9 enodes) * [exit]simplify: Simplified to (atan2 im re) * * * * [misc]progress: [ 8 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt (atan2 (/ 1 im) (/ 1 re)))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (atan2 (/ 1 im) (/ 1 re)) * * * * [misc]progress: [ 9 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt (atan2 (/ -1 im) (/ -1 re)))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (atan2 (/ -1 im) (/ -1 re)) * * * * [misc]progress: [ 10 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (cbrt (atan2 im re))) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (expm1 (cbrt (atan2 im re))) * [exit]simplify: Simplified to (expm1 (cbrt (atan2 im re))) * * * * [misc]progress: [ 11 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (cbrt (atan2 im re))) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (log1p (cbrt (atan2 im re))) * [exit]simplify: Simplified to (log1p (cbrt (atan2 im re))) * * * * [misc]progress: [ 12 / 42 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 42 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cbrt (atan2 im re))) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (log (cbrt (atan2 im re))) * [exit]simplify: Simplified to (log (cbrt (atan2 im re))) * * * * [misc]progress: [ 15 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cbrt (atan2 im re))) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (exp (cbrt (atan2 im re))) * [exit]simplify: Simplified to (exp (cbrt (atan2 im re))) * * * * [misc]progress: [ 16 / 42 ] 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 (atan2 im re)) * * [misc]simplify: iters left: 2 (4 enodes) * [exit]simplify: Simplified to (cbrt (atan2 im re)) * [exit]simplify: Simplified to (cbrt (atan2 im re)) * * * * [misc]progress: [ 17 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cbrt (atan2 im re))) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (atan2 im re))) * [exit]simplify: Simplified to (cbrt (cbrt (atan2 im re))) * * * * [misc]progress: [ 18 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt (atan2 im re))) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: iters left: 1 (9 enodes) * [exit]simplify: Simplified to (atan2 im re) * [exit]simplify: Simplified to (atan2 im re) * * * * [misc]progress: [ 19 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (atan2 im re))) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (atan2 im re))) * [exit]simplify: Simplified to (sqrt (cbrt (atan2 im re))) * * * * [misc]progress: [ 20 / 42 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (cube (cbrt (atan2 im re)))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * [exit]simplify: Simplified to (expm1 (atan2 im re)) * [exit]simplify: Simplified to (expm1 (atan2 im re)) * * * * [misc]progress: [ 22 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (cube (cbrt (atan2 im re)))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * [exit]simplify: Simplified to (log1p (atan2 im re)) * [exit]simplify: Simplified to (log1p (atan2 im re)) * * * * [misc]progress: [ 23 / 42 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 42 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cube (cbrt (atan2 im re)))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * * [misc]simplify: iters left: 1 (15 enodes) * [exit]simplify: Simplified to (log (atan2 im re)) * [exit]simplify: Simplified to (log (atan2 im re)) * * * * [misc]progress: [ 26 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cube (cbrt (atan2 im re)))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * [exit]simplify: Simplified to (exp (atan2 im re)) * [exit]simplify: Simplified to (exp (atan2 im re)) * * * * [misc]progress: [ 27 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cube (cbrt (atan2 im re)))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * [exit]simplify: Simplified to (cbrt (atan2 im re)) * [exit]simplify: Simplified to (cbrt (atan2 im re)) * * * * [misc]progress: [ 28 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cube (cbrt (atan2 im re)))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (23 enodes) * [exit]simplify: Simplified to (cube (atan2 im re)) * [exit]simplify: Simplified to (cube (atan2 im re)) * * * * [misc]progress: [ 29 / 42 ] 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 (atan2 im re))) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: iters left: 1 (9 enodes) * [exit]simplify: Simplified to (atan2 im re) * [exit]simplify: Simplified to (atan2 im re) * * * * [misc]progress: [ 30 / 42 ] 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 (atan2 im re))) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: iters left: 1 (9 enodes) * [exit]simplify: Simplified to (atan2 im re) * [exit]simplify: Simplified to (atan2 im re) * * * * [misc]progress: [ 31 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (atan2 im re)) (cbrt (atan2 im re))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (* (cbrt (atan2 im re)) (cbrt (atan2 im re))) * [exit]simplify: Simplified to (* (cbrt (atan2 im re)) (cbrt (atan2 im re))) * * * * [misc]progress: [ 32 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cube (cbrt (atan2 im re)))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * [exit]simplify: Simplified to (sqrt (atan2 im re)) * [exit]simplify: Simplified to (sqrt (atan2 im re)) * * * * [misc]progress: [ 33 / 42 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (atan2 im re)) * * [misc]simplify: iters left: 2 (4 enodes) * [exit]simplify: Simplified to (expm1 (atan2 im re)) * [exit]simplify: Simplified to (expm1 (atan2 im re)) * * * * [misc]progress: [ 35 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (atan2 im re)) * * [misc]simplify: iters left: 2 (4 enodes) * [exit]simplify: Simplified to (log1p (atan2 im re)) * [exit]simplify: Simplified to (log1p (atan2 im re)) * * * * [misc]progress: [ 36 / 42 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (log (atan2 im re)) * * [misc]simplify: iters left: 2 (4 enodes) * [exit]simplify: Simplified to (log (atan2 im re)) * [exit]simplify: Simplified to (log (atan2 im re)) * * * * [misc]progress: [ 38 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (atan2 im re)) * * [misc]simplify: iters left: 2 (4 enodes) * [exit]simplify: Simplified to (exp (atan2 im re)) * [exit]simplify: Simplified to (exp (atan2 im re)) * * * * [misc]progress: [ 39 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (atan2 im re)) * * [misc]simplify: iters left: 2 (4 enodes) * [exit]simplify: Simplified to (cbrt (atan2 im re)) * [exit]simplify: Simplified to (cbrt (atan2 im re)) * * * * [misc]progress: [ 40 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (atan2 im re)) * * [misc]simplify: iters left: 2 (4 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to (cube (atan2 im re)) * [exit]simplify: Simplified to (cube (atan2 im re)) * * * * [misc]progress: [ 41 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (atan2 im re)) * * [misc]simplify: iters left: 2 (4 enodes) * [exit]simplify: Simplified to (sqrt (atan2 im re)) * [exit]simplify: Simplified to (sqrt (atan2 im re)) * * * * [misc]progress: [ 42 / 42 ] 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 / 3 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (log (exp (atan2 im re))) in (im re) around 0 * [misc]taylor: Taking taylor expansion of (log (exp (atan2 im re))) in re * [misc]taylor: Taking taylor expansion of (exp (atan2 im re)) in re * [misc]taylor: Taking taylor expansion of (atan2 im re) in re * [misc]backup-simplify: Simplify (atan2 im re) into (atan2 im re) * [misc]backup-simplify: Simplify (exp (atan2 im re)) into (exp (atan2 im re)) * [misc]backup-simplify: Simplify (log (exp (atan2 im re))) into (atan2 im re) * [misc]taylor: Taking taylor expansion of (log (exp (atan2 im re))) in im * [misc]taylor: Taking taylor expansion of (exp (atan2 im re)) in im * [misc]taylor: Taking taylor expansion of (atan2 im re) in im * [misc]backup-simplify: Simplify (atan2 im re) into (atan2 im re) * [misc]backup-simplify: Simplify (exp (atan2 im re)) into (exp (atan2 im re)) * [misc]backup-simplify: Simplify (log (exp (atan2 im re))) into (atan2 im re) * [misc]taylor: Taking taylor expansion of (log (exp (atan2 im re))) in im * [misc]taylor: Taking taylor expansion of (exp (atan2 im re)) in im * [misc]taylor: Taking taylor expansion of (atan2 im re) in im * [misc]backup-simplify: Simplify (atan2 im re) into (atan2 im re) * [misc]backup-simplify: Simplify (exp (atan2 im re)) into (exp (atan2 im re)) * [misc]backup-simplify: Simplify (log (exp (atan2 im re))) into (atan2 im re) * [misc]taylor: Taking taylor expansion of (atan2 im re) in re * [misc]backup-simplify: Simplify (atan2 im re) into (atan2 im re) * [misc]backup-simplify: Simplify (atan2 im re) into (atan2 im re) * [misc]backup-simplify: Simplify (* (exp (atan2 im re)) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (atan2 im re)) 1)))) 1) into 0 * [misc]taylor: Taking taylor expansion of 0 in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (atan2 im re)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (atan2 im re)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (atan2 im re)) 1)))) 2) into 0 * [misc]taylor: Taking taylor expansion of 0 in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (atan2 im re)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (exp (atan2 im re)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (exp (atan2 im re)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (exp (atan2 im re)) 1)))) 6) into 0 * [misc]taylor: Taking taylor expansion of 0 in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan2 im re) into (atan2 im re) * [misc]approximate: Taking taylor expansion of (log (exp (atan2 (/ 1 im) (/ 1 re)))) in (im re) around 0 * [misc]taylor: Taking taylor expansion of (log (exp (atan2 (/ 1 im) (/ 1 re)))) in re * [misc]taylor: Taking taylor expansion of (exp (atan2 (/ 1 im) (/ 1 re))) in re * [misc]taylor: Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in re * [misc]backup-simplify: Simplify (atan2 (/ 1 im) (/ 1 re)) into (atan2 (/ 1 im) (/ 1 re)) * [misc]backup-simplify: Simplify (exp (atan2 (/ 1 im) (/ 1 re))) into (exp (atan2 (/ 1 im) (/ 1 re))) * [misc]backup-simplify: Simplify (log (exp (atan2 (/ 1 im) (/ 1 re)))) into (atan2 (/ 1 im) (/ 1 re)) * [misc]taylor: Taking taylor expansion of (log (exp (atan2 (/ 1 im) (/ 1 re)))) in im * [misc]taylor: Taking taylor expansion of (exp (atan2 (/ 1 im) (/ 1 re))) in im * [misc]taylor: Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in im * [misc]backup-simplify: Simplify (atan2 (/ 1 im) (/ 1 re)) into (atan2 (/ 1 im) (/ 1 re)) * [misc]backup-simplify: Simplify (exp (atan2 (/ 1 im) (/ 1 re))) into (exp (atan2 (/ 1 im) (/ 1 re))) * [misc]backup-simplify: Simplify (log (exp (atan2 (/ 1 im) (/ 1 re)))) into (atan2 (/ 1 im) (/ 1 re)) * [misc]taylor: Taking taylor expansion of (log (exp (atan2 (/ 1 im) (/ 1 re)))) in im * [misc]taylor: Taking taylor expansion of (exp (atan2 (/ 1 im) (/ 1 re))) in im * [misc]taylor: Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in im * [misc]backup-simplify: Simplify (atan2 (/ 1 im) (/ 1 re)) into (atan2 (/ 1 im) (/ 1 re)) * [misc]backup-simplify: Simplify (exp (atan2 (/ 1 im) (/ 1 re))) into (exp (atan2 (/ 1 im) (/ 1 re))) * [misc]backup-simplify: Simplify (log (exp (atan2 (/ 1 im) (/ 1 re)))) into (atan2 (/ 1 im) (/ 1 re)) * [misc]taylor: Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in re * [misc]backup-simplify: Simplify (atan2 (/ 1 im) (/ 1 re)) into (atan2 (/ 1 im) (/ 1 re)) * [misc]backup-simplify: Simplify (atan2 (/ 1 im) (/ 1 re)) into (atan2 (/ 1 im) (/ 1 re)) * [misc]backup-simplify: Simplify (* (exp (atan2 (/ 1 im) (/ 1 re))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (atan2 (/ 1 im) (/ 1 re))) 1)))) 1) into 0 * [misc]taylor: Taking taylor expansion of 0 in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (atan2 (/ 1 im) (/ 1 re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (atan2 (/ 1 im) (/ 1 re))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (atan2 (/ 1 im) (/ 1 re))) 1)))) 2) into 0 * [misc]taylor: Taking taylor expansion of 0 in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (atan2 (/ 1 im) (/ 1 re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (exp (atan2 (/ 1 im) (/ 1 re))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (exp (atan2 (/ 1 im) (/ 1 re))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (exp (atan2 (/ 1 im) (/ 1 re))) 1)))) 6) into 0 * [misc]taylor: Taking taylor expansion of 0 in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan2 (/ 1 im) (/ 1 re)) into (atan2 (/ 1 im) (/ 1 re)) * [misc]approximate: Taking taylor expansion of (log (exp (atan2 (/ 1 (- im)) (/ 1 (- re))))) in (im re) around 0 * [misc]taylor: Taking taylor expansion of (log (exp (atan2 (/ 1 (- im)) (/ 1 (- re))))) in re * [misc]taylor: Taking taylor expansion of (exp (atan2 (/ 1 (- im)) (/ 1 (- re)))) in re * [misc]taylor: Taking taylor expansion of (atan2 (/ 1 (- im)) (/ 1 (- re))) in re * [misc]backup-simplify: Simplify (atan2 (/ 1 (- im)) (/ 1 (- re))) into (atan2 (/ -1 im) (/ -1 re)) * [misc]backup-simplify: Simplify (exp (atan2 (/ -1 im) (/ -1 re))) into (exp (atan2 (/ -1 im) (/ -1 re))) * [misc]backup-simplify: Simplify (log (exp (atan2 (/ -1 im) (/ -1 re)))) into (atan2 (/ -1 im) (/ -1 re)) * [misc]taylor: Taking taylor expansion of (log (exp (atan2 (/ 1 (- im)) (/ 1 (- re))))) in im * [misc]taylor: Taking taylor expansion of (exp (atan2 (/ 1 (- im)) (/ 1 (- re)))) in im * [misc]taylor: Taking taylor expansion of (atan2 (/ 1 (- im)) (/ 1 (- re))) in im * [misc]backup-simplify: Simplify (atan2 (/ 1 (- im)) (/ 1 (- re))) into (atan2 (/ -1 im) (/ -1 re)) * [misc]backup-simplify: Simplify (exp (atan2 (/ -1 im) (/ -1 re))) into (exp (atan2 (/ -1 im) (/ -1 re))) * [misc]backup-simplify: Simplify (log (exp (atan2 (/ -1 im) (/ -1 re)))) into (atan2 (/ -1 im) (/ -1 re)) * [misc]taylor: Taking taylor expansion of (log (exp (atan2 (/ 1 (- im)) (/ 1 (- re))))) in im * [misc]taylor: Taking taylor expansion of (exp (atan2 (/ 1 (- im)) (/ 1 (- re)))) in im * [misc]taylor: Taking taylor expansion of (atan2 (/ 1 (- im)) (/ 1 (- re))) in im * [misc]backup-simplify: Simplify (atan2 (/ 1 (- im)) (/ 1 (- re))) into (atan2 (/ -1 im) (/ -1 re)) * [misc]backup-simplify: Simplify (exp (atan2 (/ -1 im) (/ -1 re))) into (exp (atan2 (/ -1 im) (/ -1 re))) * [misc]backup-simplify: Simplify (log (exp (atan2 (/ -1 im) (/ -1 re)))) into (atan2 (/ -1 im) (/ -1 re)) * [misc]taylor: Taking taylor expansion of (atan2 (/ -1 im) (/ -1 re)) in re * [misc]backup-simplify: Simplify (atan2 (/ -1 im) (/ -1 re)) into (atan2 (/ -1 im) (/ -1 re)) * [misc]backup-simplify: Simplify (atan2 (/ -1 im) (/ -1 re)) into (atan2 (/ -1 im) (/ -1 re)) * [misc]backup-simplify: Simplify (* (exp (atan2 (/ -1 im) (/ -1 re))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (atan2 (/ -1 im) (/ -1 re))) 1)))) 1) into 0 * [misc]taylor: Taking taylor expansion of 0 in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (atan2 (/ -1 im) (/ -1 re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (atan2 (/ -1 im) (/ -1 re))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (atan2 (/ -1 im) (/ -1 re))) 1)))) 2) into 0 * [misc]taylor: Taking taylor expansion of 0 in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (atan2 (/ -1 im) (/ -1 re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (exp (atan2 (/ -1 im) (/ -1 re))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (exp (atan2 (/ -1 im) (/ -1 re))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (exp (atan2 (/ -1 im) (/ -1 re))) 1)))) 6) into 0 * [misc]taylor: Taking taylor expansion of 0 in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan2 (/ -1 im) (/ -1 re)) into (atan2 (/ -1 im) (/ -1 re)) * * * * [misc]progress: [ 2 / 3 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (exp (atan2 im re)) in (im re) around 0 * [misc]taylor: Taking taylor expansion of (exp (atan2 im re)) in re * [misc]taylor: Taking taylor expansion of (atan2 im re) in re * [misc]backup-simplify: Simplify (atan2 im re) into (atan2 im re) * [misc]backup-simplify: Simplify (exp (atan2 im re)) into (exp (atan2 im re)) * [misc]taylor: Taking taylor expansion of (exp (atan2 im re)) in im * [misc]taylor: Taking taylor expansion of (atan2 im re) in im * [misc]backup-simplify: Simplify (atan2 im re) into (atan2 im re) * [misc]backup-simplify: Simplify (exp (atan2 im re)) into (exp (atan2 im re)) * [misc]taylor: Taking taylor expansion of (exp (atan2 im re)) in im * [misc]taylor: Taking taylor expansion of (atan2 im re) in im * [misc]backup-simplify: Simplify (atan2 im re) into (atan2 im re) * [misc]backup-simplify: Simplify (exp (atan2 im re)) into (exp (atan2 im re)) * [misc]taylor: Taking taylor expansion of (exp (atan2 im re)) in re * [misc]taylor: Taking taylor expansion of (atan2 im re) in re * [misc]backup-simplify: Simplify (atan2 im re) into (atan2 im re) * [misc]backup-simplify: Simplify (exp (atan2 im re)) into (exp (atan2 im re)) * [misc]backup-simplify: Simplify (exp (atan2 im re)) into (exp (atan2 im re)) * [misc]backup-simplify: Simplify (* (exp (atan2 im re)) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (atan2 im re)) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (atan2 im re)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (atan2 im re)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (atan2 im re)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (atan2 im re)) into (exp (atan2 im re)) * [misc]approximate: Taking taylor expansion of (exp (atan2 (/ 1 im) (/ 1 re))) in (im re) around 0 * [misc]taylor: Taking taylor expansion of (exp (atan2 (/ 1 im) (/ 1 re))) in re * [misc]taylor: Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in re * [misc]backup-simplify: Simplify (atan2 (/ 1 im) (/ 1 re)) into (atan2 (/ 1 im) (/ 1 re)) * [misc]backup-simplify: Simplify (exp (atan2 (/ 1 im) (/ 1 re))) into (exp (atan2 (/ 1 im) (/ 1 re))) * [misc]taylor: Taking taylor expansion of (exp (atan2 (/ 1 im) (/ 1 re))) in im * [misc]taylor: Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in im * [misc]backup-simplify: Simplify (atan2 (/ 1 im) (/ 1 re)) into (atan2 (/ 1 im) (/ 1 re)) * [misc]backup-simplify: Simplify (exp (atan2 (/ 1 im) (/ 1 re))) into (exp (atan2 (/ 1 im) (/ 1 re))) * [misc]taylor: Taking taylor expansion of (exp (atan2 (/ 1 im) (/ 1 re))) in im * [misc]taylor: Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in im * [misc]backup-simplify: Simplify (atan2 (/ 1 im) (/ 1 re)) into (atan2 (/ 1 im) (/ 1 re)) * [misc]backup-simplify: Simplify (exp (atan2 (/ 1 im) (/ 1 re))) into (exp (atan2 (/ 1 im) (/ 1 re))) * [misc]taylor: Taking taylor expansion of (exp (atan2 (/ 1 im) (/ 1 re))) in re * [misc]taylor: Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in re * [misc]backup-simplify: Simplify (atan2 (/ 1 im) (/ 1 re)) into (atan2 (/ 1 im) (/ 1 re)) * [misc]backup-simplify: Simplify (exp (atan2 (/ 1 im) (/ 1 re))) into (exp (atan2 (/ 1 im) (/ 1 re))) * [misc]backup-simplify: Simplify (exp (atan2 (/ 1 im) (/ 1 re))) into (exp (atan2 (/ 1 im) (/ 1 re))) * [misc]backup-simplify: Simplify (* (exp (atan2 (/ 1 im) (/ 1 re))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (atan2 (/ 1 im) (/ 1 re))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (atan2 (/ 1 im) (/ 1 re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (atan2 (/ 1 im) (/ 1 re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (atan2 (/ 1 im) (/ 1 re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (atan2 (/ 1 im) (/ 1 re))) into (exp (atan2 (/ 1 im) (/ 1 re))) * [misc]approximate: Taking taylor expansion of (exp (atan2 (/ 1 (- im)) (/ 1 (- re)))) in (im re) around 0 * [misc]taylor: Taking taylor expansion of (exp (atan2 (/ 1 (- im)) (/ 1 (- re)))) in re * [misc]taylor: Taking taylor expansion of (atan2 (/ 1 (- im)) (/ 1 (- re))) in re * [misc]backup-simplify: Simplify (atan2 (/ 1 (- im)) (/ 1 (- re))) into (atan2 (/ -1 im) (/ -1 re)) * [misc]backup-simplify: Simplify (exp (atan2 (/ -1 im) (/ -1 re))) into (exp (atan2 (/ -1 im) (/ -1 re))) * [misc]taylor: Taking taylor expansion of (exp (atan2 (/ 1 (- im)) (/ 1 (- re)))) in im * [misc]taylor: Taking taylor expansion of (atan2 (/ 1 (- im)) (/ 1 (- re))) in im * [misc]backup-simplify: Simplify (atan2 (/ 1 (- im)) (/ 1 (- re))) into (atan2 (/ -1 im) (/ -1 re)) * [misc]backup-simplify: Simplify (exp (atan2 (/ -1 im) (/ -1 re))) into (exp (atan2 (/ -1 im) (/ -1 re))) * [misc]taylor: Taking taylor expansion of (exp (atan2 (/ 1 (- im)) (/ 1 (- re)))) in im * [misc]taylor: Taking taylor expansion of (atan2 (/ 1 (- im)) (/ 1 (- re))) in im * [misc]backup-simplify: Simplify (atan2 (/ 1 (- im)) (/ 1 (- re))) into (atan2 (/ -1 im) (/ -1 re)) * [misc]backup-simplify: Simplify (exp (atan2 (/ -1 im) (/ -1 re))) into (exp (atan2 (/ -1 im) (/ -1 re))) * [misc]taylor: Taking taylor expansion of (exp (atan2 (/ -1 im) (/ -1 re))) in re * [misc]taylor: Taking taylor expansion of (atan2 (/ -1 im) (/ -1 re)) in re * [misc]backup-simplify: Simplify (atan2 (/ -1 im) (/ -1 re)) into (atan2 (/ -1 im) (/ -1 re)) * [misc]backup-simplify: Simplify (exp (atan2 (/ -1 im) (/ -1 re))) into (exp (atan2 (/ -1 im) (/ -1 re))) * [misc]backup-simplify: Simplify (exp (atan2 (/ -1 im) (/ -1 re))) into (exp (atan2 (/ -1 im) (/ -1 re))) * [misc]backup-simplify: Simplify (* (exp (atan2 (/ -1 im) (/ -1 re))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (atan2 (/ -1 im) (/ -1 re))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (atan2 (/ -1 im) (/ -1 re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (atan2 (/ -1 im) (/ -1 re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (atan2 (/ -1 im) (/ -1 re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (atan2 (/ -1 im) (/ -1 re))) into (exp (atan2 (/ -1 im) (/ -1 re))) * * * * [misc]progress: [ 3 / 3 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (atan2 im re) in (im re) around 0 * [misc]taylor: Taking taylor expansion of (atan2 im re) in re * [misc]backup-simplify: Simplify (atan2 im re) into (atan2 im re) * [misc]taylor: Taking taylor expansion of (atan2 im re) in im * [misc]backup-simplify: Simplify (atan2 im re) into (atan2 im re) * [misc]taylor: Taking taylor expansion of (atan2 im re) in im * [misc]backup-simplify: Simplify (atan2 im re) into (atan2 im re) * [misc]taylor: Taking taylor expansion of (atan2 im re) in re * [misc]backup-simplify: Simplify (atan2 im re) into (atan2 im re) * [misc]backup-simplify: Simplify (atan2 im re) into (atan2 im re) * [misc]taylor: Taking taylor expansion of 0 in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan2 im re) into (atan2 im re) * [misc]approximate: Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in (im re) around 0 * [misc]taylor: Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in re * [misc]backup-simplify: Simplify (atan2 (/ 1 im) (/ 1 re)) into (atan2 (/ 1 im) (/ 1 re)) * [misc]taylor: Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in im * [misc]backup-simplify: Simplify (atan2 (/ 1 im) (/ 1 re)) into (atan2 (/ 1 im) (/ 1 re)) * [misc]taylor: Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in im * [misc]backup-simplify: Simplify (atan2 (/ 1 im) (/ 1 re)) into (atan2 (/ 1 im) (/ 1 re)) * [misc]taylor: Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in re * [misc]backup-simplify: Simplify (atan2 (/ 1 im) (/ 1 re)) into (atan2 (/ 1 im) (/ 1 re)) * [misc]backup-simplify: Simplify (atan2 (/ 1 im) (/ 1 re)) into (atan2 (/ 1 im) (/ 1 re)) * [misc]taylor: Taking taylor expansion of 0 in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan2 (/ 1 im) (/ 1 re)) into (atan2 (/ 1 im) (/ 1 re)) * [misc]approximate: Taking taylor expansion of (atan2 (/ 1 (- im)) (/ 1 (- re))) in (im re) around 0 * [misc]taylor: Taking taylor expansion of (atan2 (/ 1 (- im)) (/ 1 (- re))) in re * [misc]backup-simplify: Simplify (atan2 (/ 1 (- im)) (/ 1 (- re))) into (atan2 (/ -1 im) (/ -1 re)) * [misc]taylor: Taking taylor expansion of (atan2 (/ 1 (- im)) (/ 1 (- re))) in im * [misc]backup-simplify: Simplify (atan2 (/ 1 (- im)) (/ 1 (- re))) into (atan2 (/ -1 im) (/ -1 re)) * [misc]taylor: Taking taylor expansion of (atan2 (/ 1 (- im)) (/ 1 (- re))) in im * [misc]backup-simplify: Simplify (atan2 (/ 1 (- im)) (/ 1 (- re))) into (atan2 (/ -1 im) (/ -1 re)) * [misc]taylor: Taking taylor expansion of (atan2 (/ -1 im) (/ -1 re)) in re * [misc]backup-simplify: Simplify (atan2 (/ -1 im) (/ -1 re)) into (atan2 (/ -1 im) (/ -1 re)) * [misc]backup-simplify: Simplify (atan2 (/ -1 im) (/ -1 re)) into (atan2 (/ -1 im) (/ -1 re)) * [misc]taylor: Taking taylor expansion of 0 in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan2 (/ -1 im) (/ -1 re)) into (atan2 (/ -1 im) (/ -1 re)) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 3 ] rewriting at (2) * * * * [misc]progress: [ 2 / 3 ] rewriting at (2 1) * * * * [misc]progress: [ 3 / 3 ] rewriting at (2 1 1) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 im re) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to (atan2 im re) * * * * [misc]progress: [ 2 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 (/ 1 im) (/ 1 re)) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (atan2 (/ 1 im) (/ 1 re)) * * * * [misc]progress: [ 3 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 (/ -1 im) (/ -1 re)) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (atan2 (/ -1 im) (/ -1 re)) * * * * [misc]progress: [ 4 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (log (exp (atan2 im re))) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (atan2 im re) * * * * [misc]progress: [ 5 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (log (exp (atan2 (/ 1 im) (/ 1 re)))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (atan2 (/ 1 im) (/ 1 re)) * * * * [misc]progress: [ 6 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (log (exp (atan2 (/ -1 im) (/ -1 re)))) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (atan2 (/ -1 im) (/ -1 re)) * * * * [misc]progress: [ 7 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (log (exp (atan2 im re))) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (atan2 im re) * * * * [misc]progress: [ 8 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (log (exp (atan2 (/ 1 im) (/ 1 re)))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (atan2 (/ 1 im) (/ 1 re)) * * * * [misc]progress: [ 9 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (log (exp (atan2 (/ -1 im) (/ -1 re)))) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (atan2 (/ -1 im) (/ -1 re)) * * * * [misc]progress: [ 10 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (log (exp (atan2 im re)))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (expm1 (atan2 im re)) * [exit]simplify: Simplified to (expm1 (atan2 im re)) * * * * [misc]progress: [ 11 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (log (exp (atan2 im re)))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (log1p (atan2 im re)) * [exit]simplify: Simplified to (log1p (atan2 im re)) * * * * [misc]progress: [ 12 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (log 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (log 1) * [exit]simplify: Simplified to (log 1) * [enter]simplify: Simplifying (log (exp (atan2 im re))) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (atan2 im re) * [exit]simplify: Simplified to (atan2 im re) * * * * [misc]progress: [ 13 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (log (exp (atan2 im re))) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (atan2 im re) * [exit]simplify: Simplified to (atan2 im re) * * * * [misc]progress: [ 14 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (log (exp 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 * * * * [misc]progress: [ 15 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (log (log (exp (atan2 im re)))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (log (atan2 im re)) * [exit]simplify: Simplified to (log (atan2 im re)) * * * * [misc]progress: [ 17 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (log (exp (atan2 im re)))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (exp (atan2 im re)) * [exit]simplify: Simplified to (exp (atan2 im re)) * * * * [misc]progress: [ 18 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (log (exp (atan2 im re)))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (cbrt (atan2 im re)) * [exit]simplify: Simplified to (cbrt (atan2 im re)) * * * * [misc]progress: [ 19 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (log (exp (atan2 im re)))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * [exit]simplify: Simplified to (cube (atan2 im re)) * [exit]simplify: Simplified to (cube (atan2 im re)) * * * * [misc]progress: [ 20 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (log (exp (atan2 im re)))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (sqrt (atan2 im re)) * [exit]simplify: Simplified to (sqrt (atan2 im re)) * * * * [misc]progress: [ 21 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (exp (atan2 im re))) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (expm1 (exp (atan2 im re))) * [exit]simplify: Simplified to (expm1 (exp (atan2 im re))) * * * * [misc]progress: [ 23 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (exp (atan2 im re))) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (log1p (exp (atan2 im re))) * [exit]simplify: Simplified to (log1p (exp (atan2 im re))) * * * * [misc]progress: [ 24 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (exp 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to E * [exit]simplify: Simplified to E * * * * [misc]progress: [ 26 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (log (exp (atan2 im re))) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (atan2 im re) * [exit]simplify: Simplified to (atan2 im re) * * * * [misc]progress: [ 27 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (exp (atan2 im re))) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (exp (exp (atan2 im re))) * [exit]simplify: Simplified to (exp (exp (atan2 im re))) * * * * [misc]progress: [ 28 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (exp (atan2 im re))) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (cbrt (exp (atan2 im re))) * [exit]simplify: Simplified to (cbrt (exp (atan2 im re))) * * * * [misc]progress: [ 29 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (exp (atan2 im re))) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: iters left: 1 (11 enodes) * [exit]simplify: Simplified to (cube (exp (atan2 im re))) * [exit]simplify: Simplified to (cube (exp (atan2 im re))) * * * * [misc]progress: [ 30 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (exp (atan2 im re))) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (sqrt (exp (atan2 im re))) * [exit]simplify: Simplified to (sqrt (exp (atan2 im re))) * * * * [misc]progress: [ 31 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (atan2 im re)) * * [misc]simplify: iters left: 2 (4 enodes) * [exit]simplify: Simplified to (expm1 (atan2 im re)) * [exit]simplify: Simplified to (expm1 (atan2 im re)) * * * * [misc]progress: [ 33 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (atan2 im re)) * * [misc]simplify: iters left: 2 (4 enodes) * [exit]simplify: Simplified to (log1p (atan2 im re)) * [exit]simplify: Simplified to (log1p (atan2 im re)) * * * * [misc]progress: [ 34 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (log (atan2 im re)) * * [misc]simplify: iters left: 2 (4 enodes) * [exit]simplify: Simplified to (log (atan2 im re)) * [exit]simplify: Simplified to (log (atan2 im re)) * * * * [misc]progress: [ 36 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (atan2 im re)) * * [misc]simplify: iters left: 2 (4 enodes) * [exit]simplify: Simplified to (exp (atan2 im re)) * [exit]simplify: Simplified to (exp (atan2 im re)) * * * * [misc]progress: [ 37 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (atan2 im re)) * * [misc]simplify: iters left: 2 (4 enodes) * [exit]simplify: Simplified to (cbrt (atan2 im re)) * [exit]simplify: Simplified to (cbrt (atan2 im re)) * * * * [misc]progress: [ 38 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (atan2 im re)) * * [misc]simplify: iters left: 2 (4 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to (cube (atan2 im re)) * [exit]simplify: Simplified to (cube (atan2 im re)) * * * * [misc]progress: [ 39 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (atan2 im re)) * * [misc]simplify: iters left: 2 (4 enodes) * [exit]simplify: Simplified to (sqrt (atan2 im re)) * [exit]simplify: Simplified to (sqrt (atan2 im re)) * * * * [misc]progress: [ 40 / 40 ] simplifiying candidate # * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * [enter]simplify: Simplifying (log1p (atan2 im re)) * * [misc]simplify: iters left: 2 (4 enodes) * [exit]simplify: Simplified to (log1p (atan2 im re)) * [exit]simplify: Simplified to (log1p (atan2 im re)) * [enter]simplify: Simplifying (exp (atan2 im re)) * * [misc]simplify: iters left: 2 (4 enodes) * [exit]simplify: Simplified to (exp (atan2 im re)) * [exit]simplify: Simplified to (exp (atan2 im re)) * [enter]simplify: Simplifying (exp (exp (atan2 im re))) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (exp (exp (atan2 im re))) * [exit]simplify: Simplified to (exp (exp (atan2 im re))) * [enter]simplify: Simplifying (sqrt (atan2 im re)) * * [misc]simplify: iters left: 2 (4 enodes) * [exit]simplify: Simplified to (sqrt (atan2 im re)) * [exit]simplify: Simplified to (sqrt (atan2 im re)) * [enter]simplify: Simplifying (cbrt (atan2 im re)) * * [misc]simplify: iters left: 2 (4 enodes) * [exit]simplify: Simplified to (cbrt (atan2 im re)) * [exit]simplify: Simplified to (cbrt (atan2 im re))