21.744 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.116 * * * [progress]: [2/2] Setting up program. 0.119 * [progress]: [Phase 2 of 3] Improving. 0.119 * [simplify]: Simplifying: (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))) 0.119 * [simplify]: Sending expressions to egg_math: (* (* h3 (sin h2)) (+ (exp (- h1 h0)) (exp h0))) 0.183 * * [progress]: iteration 1 / 4 0.184 * * * [progress]: picking best candidate 0.186 * * * * [pick]: Picked # 0.186 * * * [progress]: localizing error 0.198 * * * [progress]: generating rewritten candidates 0.198 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.330 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.373 * * * [progress]: generating series expansions 0.373 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.373 * [backup-simplify]: Simplify (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))) into (* 0.5 (* (sin re) (+ (exp im) (exp (- im))))) 0.373 * [approximate]: Taking taylor expansion of (* 0.5 (* (sin re) (+ (exp im) (exp (- im))))) in (re im) around 0 0.374 * [taylor]: Taking taylor expansion of (* 0.5 (* (sin re) (+ (exp im) (exp (- im))))) in im 0.374 * [taylor]: Taking taylor expansion of 0.5 in im 0.374 * [backup-simplify]: Simplify 0.5 into 0.5 0.374 * [taylor]: Taking taylor expansion of (* (sin re) (+ (exp im) (exp (- im)))) in im 0.374 * [taylor]: Taking taylor expansion of (sin re) in im 0.374 * [taylor]: Taking taylor expansion of re in im 0.374 * [backup-simplify]: Simplify re into re 0.374 * [backup-simplify]: Simplify (sin re) into (sin re) 0.374 * [backup-simplify]: Simplify (cos re) into (cos re) 0.374 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 0.374 * [taylor]: Taking taylor expansion of (exp im) in im 0.374 * [taylor]: Taking taylor expansion of im in im 0.374 * [backup-simplify]: Simplify 0 into 0 0.374 * [backup-simplify]: Simplify 1 into 1 0.374 * [backup-simplify]: Simplify (exp 0) into 1 0.374 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.374 * [taylor]: Taking taylor expansion of (- im) in im 0.374 * [taylor]: Taking taylor expansion of im in im 0.374 * [backup-simplify]: Simplify 0 into 0 0.374 * [backup-simplify]: Simplify 1 into 1 0.374 * [backup-simplify]: Simplify (- 0) into 0 0.375 * [backup-simplify]: Simplify (- 1) into -1 0.375 * [backup-simplify]: Simplify (exp 0) into 1 0.375 * [taylor]: Taking taylor expansion of (* 0.5 (* (sin re) (+ (exp im) (exp (- im))))) in re 0.375 * [taylor]: Taking taylor expansion of 0.5 in re 0.375 * [backup-simplify]: Simplify 0.5 into 0.5 0.375 * [taylor]: Taking taylor expansion of (* (sin re) (+ (exp im) (exp (- im)))) in re 0.375 * [taylor]: Taking taylor expansion of (sin re) in re 0.375 * [taylor]: Taking taylor expansion of re in re 0.375 * [backup-simplify]: Simplify 0 into 0 0.375 * [backup-simplify]: Simplify 1 into 1 0.375 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in re 0.375 * [taylor]: Taking taylor expansion of (exp im) in re 0.375 * [taylor]: Taking taylor expansion of im in re 0.375 * [backup-simplify]: Simplify im into im 0.375 * [backup-simplify]: Simplify (exp im) into (exp im) 0.375 * [taylor]: Taking taylor expansion of (exp (- im)) in re 0.375 * [taylor]: Taking taylor expansion of (- im) in re 0.375 * [taylor]: Taking taylor expansion of im in re 0.375 * [backup-simplify]: Simplify im into im 0.375 * [backup-simplify]: Simplify (- im) into (- im) 0.375 * [backup-simplify]: Simplify (- im) into (- im) 0.375 * [backup-simplify]: Simplify (exp (- im)) into (exp (- im)) 0.375 * [taylor]: Taking taylor expansion of (* 0.5 (* (sin re) (+ (exp im) (exp (- im))))) in re 0.375 * [taylor]: Taking taylor expansion of 0.5 in re 0.375 * [backup-simplify]: Simplify 0.5 into 0.5 0.375 * [taylor]: Taking taylor expansion of (* (sin re) (+ (exp im) (exp (- im)))) in re 0.375 * [taylor]: Taking taylor expansion of (sin re) in re 0.375 * [taylor]: Taking taylor expansion of re in re 0.375 * [backup-simplify]: Simplify 0 into 0 0.375 * [backup-simplify]: Simplify 1 into 1 0.375 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in re 0.375 * [taylor]: Taking taylor expansion of (exp im) in re 0.375 * [taylor]: Taking taylor expansion of im in re 0.375 * [backup-simplify]: Simplify im into im 0.375 * [backup-simplify]: Simplify (exp im) into (exp im) 0.375 * [taylor]: Taking taylor expansion of (exp (- im)) in re 0.375 * [taylor]: Taking taylor expansion of (- im) in re 0.375 * [taylor]: Taking taylor expansion of im in re 0.375 * [backup-simplify]: Simplify im into im 0.375 * [backup-simplify]: Simplify (- im) into (- im) 0.375 * [backup-simplify]: Simplify (- im) into (- im) 0.376 * [backup-simplify]: Simplify (exp (- im)) into (exp (- im)) 0.376 * [backup-simplify]: Simplify (+ (exp im) (exp (- im))) into (+ (exp im) (exp (- im))) 0.376 * [backup-simplify]: Simplify (* 0 (+ (exp im) (exp (- im)))) into 0 0.376 * [backup-simplify]: Simplify (* 0.5 0) into 0 0.376 * [taylor]: Taking taylor expansion of 0 in im 0.376 * [backup-simplify]: Simplify 0 into 0 0.376 * [backup-simplify]: Simplify 0 into 0 0.377 * [backup-simplify]: Simplify (* (exp im) (+ (* (/ (pow 0 1) 1)))) into 0 0.377 * [backup-simplify]: Simplify (- im) into (- im) 0.377 * [backup-simplify]: Simplify (- 0) into 0 0.377 * [backup-simplify]: Simplify (* (exp (- im)) (+ (* (/ (pow 0 1) 1)))) into 0 0.378 * [backup-simplify]: Simplify (+ 0 0) into 0 0.378 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 0.379 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (+ (exp im) (exp (- im))))) into (+ (exp im) (exp (- im))) 0.379 * [backup-simplify]: Simplify (+ (* 0.5 (+ (exp im) (exp (- im)))) (* 0 0)) into (+ (* 0.5 (exp im)) (* 0.5 (exp (- im)))) 0.379 * [taylor]: Taking taylor expansion of (+ (* 0.5 (exp im)) (* 0.5 (exp (- im)))) in im 0.379 * [taylor]: Taking taylor expansion of (* 0.5 (exp im)) in im 0.379 * [taylor]: Taking taylor expansion of 0.5 in im 0.379 * [backup-simplify]: Simplify 0.5 into 0.5 0.379 * [taylor]: Taking taylor expansion of (exp im) in im 0.379 * [taylor]: Taking taylor expansion of im in im 0.379 * [backup-simplify]: Simplify 0 into 0 0.379 * [backup-simplify]: Simplify 1 into 1 0.379 * [backup-simplify]: Simplify (exp 0) into 1 0.379 * [taylor]: Taking taylor expansion of (* 0.5 (exp (- im))) in im 0.379 * [taylor]: Taking taylor expansion of 0.5 in im 0.379 * [backup-simplify]: Simplify 0.5 into 0.5 0.379 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.379 * [taylor]: Taking taylor expansion of (- im) in im 0.379 * [taylor]: Taking taylor expansion of im in im 0.379 * [backup-simplify]: Simplify 0 into 0 0.379 * [backup-simplify]: Simplify 1 into 1 0.379 * [backup-simplify]: Simplify (- 0) into 0 0.380 * [backup-simplify]: Simplify (- 1) into -1 0.380 * [backup-simplify]: Simplify (exp 0) into 1 0.380 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 0.380 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 0.380 * [backup-simplify]: Simplify (+ 0.5 0.5) into 1.0 0.380 * [backup-simplify]: Simplify 1.0 into 1.0 0.380 * [backup-simplify]: Simplify 0 into 0 0.381 * [backup-simplify]: Simplify (* (exp im) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.381 * [backup-simplify]: Simplify (- im) into (- im) 0.381 * [backup-simplify]: Simplify (- 0) into 0 0.382 * [backup-simplify]: Simplify (- 0) into 0 0.382 * [backup-simplify]: Simplify (* (exp (- im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.383 * [backup-simplify]: Simplify (+ 0 0) into 0 0.383 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.384 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (+ (exp im) (exp (- im)))))) into 0 0.384 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (+ (exp im) (exp (- im)))) (* 0 0))) into 0 0.384 * [taylor]: Taking taylor expansion of 0 in im 0.384 * [backup-simplify]: Simplify 0 into 0 0.384 * [backup-simplify]: Simplify 0 into 0 0.385 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 0.386 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 1)) into 0.5 0.386 * [backup-simplify]: Simplify (- 1) into -1 0.387 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1 0.388 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1)) into (- 0.5) 0.388 * [backup-simplify]: Simplify (+ 0.5 (- 0.5)) into 0 0.388 * [backup-simplify]: Simplify 0 into 0 0.388 * [backup-simplify]: Simplify 0 into 0 0.389 * [backup-simplify]: Simplify (* (exp im) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 0.390 * [backup-simplify]: Simplify (- im) into (- im) 0.390 * [backup-simplify]: Simplify (- 0) into 0 0.390 * [backup-simplify]: Simplify (- 0) into 0 0.390 * [backup-simplify]: Simplify (- 0) into 0 0.390 * [backup-simplify]: Simplify (- 0) into 0 0.391 * [backup-simplify]: Simplify (* (exp (- im)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 0.392 * [backup-simplify]: Simplify (+ 0 0) into 0 0.393 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 0.393 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* -1/6 (+ (exp im) (exp (- im))))))) into (- (+ (* 1/6 (exp im)) (* 1/6 (exp (- im))))) 0.394 * [backup-simplify]: Simplify (+ (* 0.5 (- (+ (* 1/6 (exp im)) (* 1/6 (exp (- im)))))) (+ (* 0 0) (+ (* 0 (+ (exp im) (exp (- im)))) (* 0 0)))) into (- (+ (* 0.08333333333333333 (exp im)) (* 0.08333333333333333 (exp (- im))))) 0.394 * [taylor]: Taking taylor expansion of (- (+ (* 0.08333333333333333 (exp im)) (* 0.08333333333333333 (exp (- im))))) in im 0.394 * [taylor]: Taking taylor expansion of (+ (* 0.08333333333333333 (exp im)) (* 0.08333333333333333 (exp (- im)))) in im 0.394 * [taylor]: Taking taylor expansion of (* 0.08333333333333333 (exp im)) in im 0.394 * [taylor]: Taking taylor expansion of 0.08333333333333333 in im 0.394 * [backup-simplify]: Simplify 0.08333333333333333 into 0.08333333333333333 0.394 * [taylor]: Taking taylor expansion of (exp im) in im 0.394 * [taylor]: Taking taylor expansion of im in im 0.394 * [backup-simplify]: Simplify 0 into 0 0.394 * [backup-simplify]: Simplify 1 into 1 0.394 * [backup-simplify]: Simplify (exp 0) into 1 0.394 * [taylor]: Taking taylor expansion of (* 0.08333333333333333 (exp (- im))) in im 0.394 * [taylor]: Taking taylor expansion of 0.08333333333333333 in im 0.394 * [backup-simplify]: Simplify 0.08333333333333333 into 0.08333333333333333 0.394 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.394 * [taylor]: Taking taylor expansion of (- im) in im 0.394 * [taylor]: Taking taylor expansion of im in im 0.394 * [backup-simplify]: Simplify 0 into 0 0.394 * [backup-simplify]: Simplify 1 into 1 0.395 * [backup-simplify]: Simplify (- 0) into 0 0.395 * [backup-simplify]: Simplify (- 1) into -1 0.395 * [backup-simplify]: Simplify (exp 0) into 1 0.395 * [backup-simplify]: Simplify (* 0.08333333333333333 1) into 0.08333333333333333 0.395 * [backup-simplify]: Simplify (* 0.08333333333333333 1) into 0.08333333333333333 0.396 * [backup-simplify]: Simplify (+ 0.08333333333333333 0.08333333333333333) into 0.16666666666666666 0.396 * [backup-simplify]: Simplify (- 0.16666666666666666) into (- 0.16666666666666666) 0.396 * [backup-simplify]: Simplify (- 0.16666666666666666) into (- 0.16666666666666666) 0.396 * [backup-simplify]: Simplify 0 into 0 0.397 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 0.398 * [backup-simplify]: Simplify (+ (* 0.5 1/2) (+ (* 0 1) (* 0 1))) into 0.25 0.398 * [backup-simplify]: Simplify (- 1) into -1 0.399 * [backup-simplify]: Simplify (- 0) into 0 0.400 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 0.401 * [backup-simplify]: Simplify (+ (* 0.5 1/2) (+ (* 0 -1) (* 0 1))) into 0.25 0.401 * [backup-simplify]: Simplify (+ 0.25 0.25) into 0.5 0.401 * [backup-simplify]: Simplify 0.5 into 0.5 0.402 * [backup-simplify]: Simplify (+ (* 0.5 (* (pow im 2) re)) (+ (* (- 0.16666666666666666) (pow (* 1 re) 3)) (* 1.0 (* 1 re)))) into (- (+ (* 1.0 re) (* 0.5 (* re (pow im 2)))) (* 0.16666666666666666 (pow re 3))) 0.402 * [backup-simplify]: Simplify (* (* 0.5 (sin (/ 1 re))) (+ (exp (- 0.0 (/ 1 im))) (exp (/ 1 im)))) into (* 0.5 (* (sin (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) 0.402 * [approximate]: Taking taylor expansion of (* 0.5 (* (sin (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in (re im) around 0 0.402 * [taylor]: Taking taylor expansion of (* 0.5 (* (sin (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in im 0.402 * [taylor]: Taking taylor expansion of 0.5 in im 0.402 * [backup-simplify]: Simplify 0.5 into 0.5 0.402 * [taylor]: Taking taylor expansion of (* (sin (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in im 0.402 * [taylor]: Taking taylor expansion of (sin (/ 1 re)) in im 0.402 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.402 * [taylor]: Taking taylor expansion of re in im 0.402 * [backup-simplify]: Simplify re into re 0.402 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.403 * [backup-simplify]: Simplify (sin (/ 1 re)) into (sin (/ 1 re)) 0.403 * [backup-simplify]: Simplify (cos (/ 1 re)) into (cos (/ 1 re)) 0.403 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 0.403 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 0.403 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 0.403 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.403 * [taylor]: Taking taylor expansion of im in im 0.403 * [backup-simplify]: Simplify 0 into 0 0.403 * [backup-simplify]: Simplify 1 into 1 0.403 * [backup-simplify]: Simplify (/ 1 1) into 1 0.403 * [backup-simplify]: Simplify (- 1) into -1 0.403 * [backup-simplify]: Simplify (exp (- (/ 1 im))) into (exp (- (/ 1 im))) 0.403 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.403 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.403 * [taylor]: Taking taylor expansion of im in im 0.403 * [backup-simplify]: Simplify 0 into 0 0.403 * [backup-simplify]: Simplify 1 into 1 0.404 * [backup-simplify]: Simplify (/ 1 1) into 1 0.404 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 0.404 * [taylor]: Taking taylor expansion of (* 0.5 (* (sin (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in re 0.404 * [taylor]: Taking taylor expansion of 0.5 in re 0.404 * [backup-simplify]: Simplify 0.5 into 0.5 0.404 * [taylor]: Taking taylor expansion of (* (sin (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in re 0.404 * [taylor]: Taking taylor expansion of (sin (/ 1 re)) in re 0.404 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.404 * [taylor]: Taking taylor expansion of re in re 0.404 * [backup-simplify]: Simplify 0 into 0 0.404 * [backup-simplify]: Simplify 1 into 1 0.404 * [backup-simplify]: Simplify (/ 1 1) into 1 0.404 * [backup-simplify]: Simplify (sin (/ 1 re)) into (sin (/ 1 re)) 0.404 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in re 0.404 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in re 0.404 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in re 0.404 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.404 * [taylor]: Taking taylor expansion of im in re 0.404 * [backup-simplify]: Simplify im into im 0.404 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.404 * [backup-simplify]: Simplify (- (/ 1 im)) into (- (/ 1 im)) 0.404 * [backup-simplify]: Simplify (- (/ 1 im)) into (- (/ 1 im)) 0.404 * [backup-simplify]: Simplify (exp (- (/ 1 im))) into (exp (- (/ 1 im))) 0.404 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.404 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.404 * [taylor]: Taking taylor expansion of im in re 0.405 * [backup-simplify]: Simplify im into im 0.405 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.405 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 0.405 * [taylor]: Taking taylor expansion of (* 0.5 (* (sin (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in re 0.405 * [taylor]: Taking taylor expansion of 0.5 in re 0.405 * [backup-simplify]: Simplify 0.5 into 0.5 0.405 * [taylor]: Taking taylor expansion of (* (sin (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in re 0.405 * [taylor]: Taking taylor expansion of (sin (/ 1 re)) in re 0.405 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.405 * [taylor]: Taking taylor expansion of re in re 0.405 * [backup-simplify]: Simplify 0 into 0 0.405 * [backup-simplify]: Simplify 1 into 1 0.405 * [backup-simplify]: Simplify (/ 1 1) into 1 0.405 * [backup-simplify]: Simplify (sin (/ 1 re)) into (sin (/ 1 re)) 0.405 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in re 0.405 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in re 0.405 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in re 0.405 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.405 * [taylor]: Taking taylor expansion of im in re 0.405 * [backup-simplify]: Simplify im into im 0.405 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.405 * [backup-simplify]: Simplify (- (/ 1 im)) into (- (/ 1 im)) 0.405 * [backup-simplify]: Simplify (- (/ 1 im)) into (- (/ 1 im)) 0.405 * [backup-simplify]: Simplify (exp (- (/ 1 im))) into (exp (- (/ 1 im))) 0.405 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.405 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.405 * [taylor]: Taking taylor expansion of im in re 0.405 * [backup-simplify]: Simplify im into im 0.405 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.406 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 0.406 * [backup-simplify]: Simplify (+ (exp (- (/ 1 im))) (exp (/ 1 im))) into (+ (exp (- (/ 1 im))) (exp (/ 1 im))) 0.406 * [backup-simplify]: Simplify (* (sin (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) into (* (sin (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) 0.406 * [backup-simplify]: Simplify (* 0.5 (* (sin (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) into (* 0.5 (* (sin (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) 0.406 * [taylor]: Taking taylor expansion of (* 0.5 (* (sin (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in im 0.406 * [taylor]: Taking taylor expansion of 0.5 in im 0.406 * [backup-simplify]: Simplify 0.5 into 0.5 0.406 * [taylor]: Taking taylor expansion of (* (sin (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in im 0.406 * [taylor]: Taking taylor expansion of (sin (/ 1 re)) in im 0.406 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.406 * [taylor]: Taking taylor expansion of re in im 0.406 * [backup-simplify]: Simplify re into re 0.406 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.406 * [backup-simplify]: Simplify (sin (/ 1 re)) into (sin (/ 1 re)) 0.406 * [backup-simplify]: Simplify (cos (/ 1 re)) into (cos (/ 1 re)) 0.406 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 0.406 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 0.406 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 0.406 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.406 * [taylor]: Taking taylor expansion of im in im 0.406 * [backup-simplify]: Simplify 0 into 0 0.406 * [backup-simplify]: Simplify 1 into 1 0.407 * [backup-simplify]: Simplify (/ 1 1) into 1 0.407 * [backup-simplify]: Simplify (- 1) into -1 0.407 * [backup-simplify]: Simplify (exp (- (/ 1 im))) into (exp (- (/ 1 im))) 0.407 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.407 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.407 * [taylor]: Taking taylor expansion of im in im 0.407 * [backup-simplify]: Simplify 0 into 0 0.407 * [backup-simplify]: Simplify 1 into 1 0.407 * [backup-simplify]: Simplify (/ 1 1) into 1 0.407 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 0.407 * [backup-simplify]: Simplify (* (sin (/ 1 re)) 1) into (sin (/ 1 re)) 0.408 * [backup-simplify]: Simplify (* (cos (/ 1 re)) 0) into 0 0.408 * [backup-simplify]: Simplify (+ (sin (/ 1 re)) 0) into (sin (/ 1 re)) 0.408 * [backup-simplify]: Simplify (+ (exp (- (/ 1 im))) (exp (/ 1 im))) into (+ (exp (- (/ 1 im))) (exp (/ 1 im))) 0.408 * [backup-simplify]: Simplify (* (sin (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) into (* (sin (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) 0.408 * [backup-simplify]: Simplify (* 0.5 (* (sin (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) into (* 0.5 (* (sin (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) 0.408 * [backup-simplify]: Simplify (* 0.5 (* (sin (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) into (* 0.5 (* (sin (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) 0.408 * [backup-simplify]: Simplify (- (/ 1 im)) into (- (/ 1 im)) 0.408 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 0.409 * [backup-simplify]: Simplify (- 0) into 0 0.409 * [backup-simplify]: Simplify (* (exp (- (/ 1 im))) (+ (* (/ (pow 0 1) 1)))) into 0 0.409 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 0.410 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 1) 1)))) into 0 0.410 * [backup-simplify]: Simplify (+ 0 0) into 0 0.410 * [backup-simplify]: Simplify (+ (* (sin (/ 1 re)) 0) (* 0 (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) into 0 0.411 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (sin (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) into 0 0.411 * [taylor]: Taking taylor expansion of 0 in im 0.411 * [backup-simplify]: Simplify 0 into 0 0.411 * [backup-simplify]: Simplify 0 into 0 0.411 * [backup-simplify]: Simplify (+ 0 0) into 0 0.411 * [backup-simplify]: Simplify (+ 0) into 0 0.411 * [backup-simplify]: Simplify (+ (* (sin (/ 1 re)) 0) (* 0 1)) into 0 0.412 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 0.412 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 0.412 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (* 0 0)) into 0 0.413 * [backup-simplify]: Simplify (+ 0 0) into 0 0.413 * [backup-simplify]: Simplify (+ (* (sin (/ 1 re)) 0) (* 0 (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) into 0 0.413 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (sin (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) into 0 0.413 * [backup-simplify]: Simplify 0 into 0 0.413 * [backup-simplify]: Simplify (- (/ 1 im)) into (- (/ 1 im)) 0.413 * [backup-simplify]: Simplify (- 0) into 0 0.414 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 0.414 * [backup-simplify]: Simplify (- 0) into 0 0.415 * [backup-simplify]: Simplify (* (exp (- (/ 1 im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.415 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 0.416 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.416 * [backup-simplify]: Simplify (+ 0 0) into 0 0.416 * [backup-simplify]: Simplify (+ (* (sin (/ 1 re)) 0) (+ (* 0 0) (* 0 (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) into 0 0.417 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* (sin (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))))) into 0 0.417 * [taylor]: Taking taylor expansion of 0 in im 0.417 * [backup-simplify]: Simplify 0 into 0 0.417 * [backup-simplify]: Simplify 0 into 0 0.417 * [backup-simplify]: Simplify 0 into 0 0.417 * [backup-simplify]: Simplify (+ 0 0) into 0 0.418 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 0.418 * [backup-simplify]: Simplify (+ (* (sin (/ 1 re)) 0) (+ (* 0 0) (* 0 1))) into 0 0.418 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 0.419 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.419 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (+ (* 0 0) (* 0 0))) into 0 0.419 * [backup-simplify]: Simplify (+ 0 0) into 0 0.420 * [backup-simplify]: Simplify (+ (* (sin (/ 1 re)) 0) (+ (* 0 0) (* 0 (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) into 0 0.420 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* (sin (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))))) into 0 0.420 * [backup-simplify]: Simplify 0 into 0 0.420 * [backup-simplify]: Simplify (- (/ 1 im)) into (- (/ 1 im)) 0.421 * [backup-simplify]: Simplify (- 0) into 0 0.421 * [backup-simplify]: Simplify (- 0) into 0 0.421 * [backup-simplify]: Simplify (- 0) into 0 0.421 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)) (* 0 (/ 0 im)))) into 0 0.421 * [backup-simplify]: Simplify (- 0) into 0 0.422 * [backup-simplify]: Simplify (* (exp (- (/ 1 im))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 0.423 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)) (* 0 (/ 0 im)))) into 0 0.424 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 0.424 * [backup-simplify]: Simplify (+ 0 0) into 0 0.424 * [backup-simplify]: Simplify (+ (* (sin (/ 1 re)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (exp (- (/ 1 im))) (exp (/ 1 im))))))) into 0 0.425 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sin (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))))) into 0 0.425 * [taylor]: Taking taylor expansion of 0 in im 0.425 * [backup-simplify]: Simplify 0 into 0 0.425 * [backup-simplify]: Simplify 0 into 0 0.425 * [backup-simplify]: Simplify (* 0.5 (* (sin (/ 1 (/ 1 re))) (+ (exp (- (/ 1 (/ 1 im)))) (exp (/ 1 (/ 1 im)))))) into (* 0.5 (* (sin re) (+ (exp im) (exp (- im))))) 0.426 * [backup-simplify]: Simplify (* (* 0.5 (sin (/ 1 (- re)))) (+ (exp (- 0.0 (/ 1 (- im)))) (exp (/ 1 (- im))))) into (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (sin (/ -1 re)))) 0.426 * [approximate]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (sin (/ -1 re)))) in (re im) around 0 0.426 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (sin (/ -1 re)))) in im 0.426 * [taylor]: Taking taylor expansion of 0.5 in im 0.426 * [backup-simplify]: Simplify 0.5 into 0.5 0.426 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (sin (/ -1 re))) in im 0.426 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.426 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.426 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.426 * [taylor]: Taking taylor expansion of -1 in im 0.426 * [backup-simplify]: Simplify -1 into -1 0.426 * [taylor]: Taking taylor expansion of im in im 0.426 * [backup-simplify]: Simplify 0 into 0 0.426 * [backup-simplify]: Simplify 1 into 1 0.426 * [backup-simplify]: Simplify (/ -1 1) into -1 0.426 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) 0.426 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.426 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.426 * [taylor]: Taking taylor expansion of im in im 0.426 * [backup-simplify]: Simplify 0 into 0 0.426 * [backup-simplify]: Simplify 1 into 1 0.427 * [backup-simplify]: Simplify (/ 1 1) into 1 0.427 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 0.427 * [taylor]: Taking taylor expansion of (sin (/ -1 re)) in im 0.427 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.427 * [taylor]: Taking taylor expansion of -1 in im 0.427 * [backup-simplify]: Simplify -1 into -1 0.427 * [taylor]: Taking taylor expansion of re in im 0.427 * [backup-simplify]: Simplify re into re 0.427 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 0.427 * [backup-simplify]: Simplify (sin (/ -1 re)) into (sin (/ -1 re)) 0.427 * [backup-simplify]: Simplify (cos (/ -1 re)) into (cos (/ -1 re)) 0.427 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (sin (/ -1 re)))) in re 0.427 * [taylor]: Taking taylor expansion of 0.5 in re 0.427 * [backup-simplify]: Simplify 0.5 into 0.5 0.427 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (sin (/ -1 re))) in re 0.427 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re 0.427 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.427 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.427 * [taylor]: Taking taylor expansion of -1 in re 0.427 * [backup-simplify]: Simplify -1 into -1 0.427 * [taylor]: Taking taylor expansion of im in re 0.427 * [backup-simplify]: Simplify im into im 0.427 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.427 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) 0.427 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.427 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.427 * [taylor]: Taking taylor expansion of im in re 0.427 * [backup-simplify]: Simplify im into im 0.427 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.427 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 0.427 * [taylor]: Taking taylor expansion of (sin (/ -1 re)) in re 0.427 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.427 * [taylor]: Taking taylor expansion of -1 in re 0.427 * [backup-simplify]: Simplify -1 into -1 0.427 * [taylor]: Taking taylor expansion of re in re 0.427 * [backup-simplify]: Simplify 0 into 0 0.427 * [backup-simplify]: Simplify 1 into 1 0.428 * [backup-simplify]: Simplify (/ -1 1) into -1 0.428 * [backup-simplify]: Simplify (sin (/ -1 re)) into (sin (/ -1 re)) 0.428 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (sin (/ -1 re)))) in re 0.428 * [taylor]: Taking taylor expansion of 0.5 in re 0.428 * [backup-simplify]: Simplify 0.5 into 0.5 0.428 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (sin (/ -1 re))) in re 0.428 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re 0.428 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.428 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.428 * [taylor]: Taking taylor expansion of -1 in re 0.428 * [backup-simplify]: Simplify -1 into -1 0.428 * [taylor]: Taking taylor expansion of im in re 0.428 * [backup-simplify]: Simplify im into im 0.428 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.428 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) 0.428 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.428 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.428 * [taylor]: Taking taylor expansion of im in re 0.428 * [backup-simplify]: Simplify im into im 0.428 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.428 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 0.428 * [taylor]: Taking taylor expansion of (sin (/ -1 re)) in re 0.428 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.428 * [taylor]: Taking taylor expansion of -1 in re 0.428 * [backup-simplify]: Simplify -1 into -1 0.428 * [taylor]: Taking taylor expansion of re in re 0.428 * [backup-simplify]: Simplify 0 into 0 0.428 * [backup-simplify]: Simplify 1 into 1 0.429 * [backup-simplify]: Simplify (/ -1 1) into -1 0.429 * [backup-simplify]: Simplify (sin (/ -1 re)) into (sin (/ -1 re)) 0.429 * [backup-simplify]: Simplify (+ (exp (/ -1 im)) (exp (/ 1 im))) into (+ (exp (/ -1 im)) (exp (/ 1 im))) 0.429 * [backup-simplify]: Simplify (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (sin (/ -1 re))) into (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (sin (/ -1 re))) 0.429 * [backup-simplify]: Simplify (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (sin (/ -1 re)))) into (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (sin (/ -1 re)))) 0.429 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (sin (/ -1 re)))) in im 0.429 * [taylor]: Taking taylor expansion of 0.5 in im 0.429 * [backup-simplify]: Simplify 0.5 into 0.5 0.429 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (sin (/ -1 re))) in im 0.429 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.429 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.429 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.429 * [taylor]: Taking taylor expansion of -1 in im 0.429 * [backup-simplify]: Simplify -1 into -1 0.429 * [taylor]: Taking taylor expansion of im in im 0.429 * [backup-simplify]: Simplify 0 into 0 0.429 * [backup-simplify]: Simplify 1 into 1 0.429 * [backup-simplify]: Simplify (/ -1 1) into -1 0.430 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) 0.430 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.430 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.430 * [taylor]: Taking taylor expansion of im in im 0.430 * [backup-simplify]: Simplify 0 into 0 0.430 * [backup-simplify]: Simplify 1 into 1 0.430 * [backup-simplify]: Simplify (/ 1 1) into 1 0.430 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 0.430 * [taylor]: Taking taylor expansion of (sin (/ -1 re)) in im 0.430 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.430 * [taylor]: Taking taylor expansion of -1 in im 0.430 * [backup-simplify]: Simplify -1 into -1 0.430 * [taylor]: Taking taylor expansion of re in im 0.430 * [backup-simplify]: Simplify re into re 0.430 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 0.430 * [backup-simplify]: Simplify (sin (/ -1 re)) into (sin (/ -1 re)) 0.430 * [backup-simplify]: Simplify (cos (/ -1 re)) into (cos (/ -1 re)) 0.430 * [backup-simplify]: Simplify (+ (exp (/ -1 im)) (exp (/ 1 im))) into (+ (exp (/ -1 im)) (exp (/ 1 im))) 0.430 * [backup-simplify]: Simplify (* (sin (/ -1 re)) 1) into (sin (/ -1 re)) 0.430 * [backup-simplify]: Simplify (* (cos (/ -1 re)) 0) into 0 0.430 * [backup-simplify]: Simplify (+ (sin (/ -1 re)) 0) into (sin (/ -1 re)) 0.431 * [backup-simplify]: Simplify (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (sin (/ -1 re))) into (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (sin (/ -1 re))) 0.431 * [backup-simplify]: Simplify (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (sin (/ -1 re)))) into (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (sin (/ -1 re)))) 0.431 * [backup-simplify]: Simplify (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (sin (/ -1 re)))) into (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (sin (/ -1 re)))) 0.431 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 0.431 * [backup-simplify]: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 1) 1)))) into 0 0.432 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 0.432 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 1) 1)))) into 0 0.432 * [backup-simplify]: Simplify (+ 0 0) into 0 0.432 * [backup-simplify]: Simplify (+ (* (+ (exp (/ -1 im)) (exp (/ 1 im))) 0) (* 0 (sin (/ -1 re)))) into 0 0.433 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (sin (/ -1 re))))) into 0 0.433 * [taylor]: Taking taylor expansion of 0 in im 0.433 * [backup-simplify]: Simplify 0 into 0 0.433 * [backup-simplify]: Simplify 0 into 0 0.433 * [backup-simplify]: Simplify (+ 0) into 0 0.433 * [backup-simplify]: Simplify (+ (* (sin (/ -1 re)) 0) (* 0 1)) into 0 0.434 * [backup-simplify]: Simplify (- (/ 0 re) (+ (* (/ -1 re) (/ 0 re)))) into 0 0.434 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 0.434 * [backup-simplify]: Simplify (+ (* (cos (/ -1 re)) 0) (* 0 0)) into 0 0.434 * [backup-simplify]: Simplify (+ 0 0) into 0 0.435 * [backup-simplify]: Simplify (+ 0 0) into 0 0.435 * [backup-simplify]: Simplify (+ (* (+ (exp (/ -1 im)) (exp (/ 1 im))) 0) (* 0 (sin (/ -1 re)))) into 0 0.435 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (sin (/ -1 re))))) into 0 0.435 * [backup-simplify]: Simplify 0 into 0 0.435 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 0.436 * [backup-simplify]: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.436 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 0.437 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.438 * [backup-simplify]: Simplify (+ 0 0) into 0 0.438 * [backup-simplify]: Simplify (+ (* (+ (exp (/ -1 im)) (exp (/ 1 im))) 0) (+ (* 0 0) (* 0 (sin (/ -1 re))))) into 0 0.439 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (sin (/ -1 re)))))) into 0 0.439 * [taylor]: Taking taylor expansion of 0 in im 0.439 * [backup-simplify]: Simplify 0 into 0 0.439 * [backup-simplify]: Simplify 0 into 0 0.439 * [backup-simplify]: Simplify 0 into 0 0.439 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 0.440 * [backup-simplify]: Simplify (+ (* (sin (/ -1 re)) 0) (+ (* 0 0) (* 0 1))) into 0 0.440 * [backup-simplify]: Simplify (- (/ 0 re) (+ (* (/ -1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 0.440 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.441 * [backup-simplify]: Simplify (+ (* (cos (/ -1 re)) 0) (+ (* 0 0) (* 0 0))) into 0 0.441 * [backup-simplify]: Simplify (+ 0 0) into 0 0.441 * [backup-simplify]: Simplify (+ 0 0) into 0 0.441 * [backup-simplify]: Simplify (+ (* (+ (exp (/ -1 im)) (exp (/ 1 im))) 0) (+ (* 0 0) (* 0 (sin (/ -1 re))))) into 0 0.442 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (sin (/ -1 re)))))) into 0 0.442 * [backup-simplify]: Simplify 0 into 0 0.442 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)) (* 0 (/ 0 im)))) into 0 0.443 * [backup-simplify]: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 0.443 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)) (* 0 (/ 0 im)))) into 0 0.444 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 0.447 * [backup-simplify]: Simplify (+ 0 0) into 0 0.448 * [backup-simplify]: Simplify (+ (* (+ (exp (/ -1 im)) (exp (/ 1 im))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 re)))))) into 0 0.449 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (sin (/ -1 re))))))) into 0 0.449 * [taylor]: Taking taylor expansion of 0 in im 0.449 * [backup-simplify]: Simplify 0 into 0 0.449 * [backup-simplify]: Simplify 0 into 0 0.449 * [backup-simplify]: Simplify (* 0.5 (* (+ (exp (/ -1 (/ 1 (- im)))) (exp (/ 1 (/ 1 (- im))))) (sin (/ -1 (/ 1 (- re)))))) into (* 0.5 (* (+ (exp (* -1 im)) (exp im)) (sin re))) 0.449 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.449 * [backup-simplify]: Simplify (+ (exp (- 0.0 im)) (exp im)) into (+ (exp im) (exp (- im))) 0.449 * [approximate]: Taking taylor expansion of (+ (exp im) (exp (- im))) in (im) around 0 0.449 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 0.449 * [taylor]: Taking taylor expansion of (exp im) in im 0.449 * [taylor]: Taking taylor expansion of im in im 0.449 * [backup-simplify]: Simplify 0 into 0 0.449 * [backup-simplify]: Simplify 1 into 1 0.449 * [backup-simplify]: Simplify (exp 0) into 1 0.449 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.449 * [taylor]: Taking taylor expansion of (- im) in im 0.449 * [taylor]: Taking taylor expansion of im in im 0.449 * [backup-simplify]: Simplify 0 into 0 0.449 * [backup-simplify]: Simplify 1 into 1 0.450 * [backup-simplify]: Simplify (- 0) into 0 0.450 * [backup-simplify]: Simplify (- 1) into -1 0.450 * [backup-simplify]: Simplify (exp 0) into 1 0.450 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 0.450 * [taylor]: Taking taylor expansion of (exp im) in im 0.450 * [taylor]: Taking taylor expansion of im in im 0.450 * [backup-simplify]: Simplify 0 into 0 0.450 * [backup-simplify]: Simplify 1 into 1 0.450 * [backup-simplify]: Simplify (exp 0) into 1 0.450 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.450 * [taylor]: Taking taylor expansion of (- im) in im 0.450 * [taylor]: Taking taylor expansion of im in im 0.450 * [backup-simplify]: Simplify 0 into 0 0.450 * [backup-simplify]: Simplify 1 into 1 0.450 * [backup-simplify]: Simplify (- 0) into 0 0.451 * [backup-simplify]: Simplify (- 1) into -1 0.451 * [backup-simplify]: Simplify (exp 0) into 1 0.451 * [backup-simplify]: Simplify (+ 1 1) into 2 0.451 * [backup-simplify]: Simplify 2 into 2 0.451 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 0.452 * [backup-simplify]: Simplify (- 1) into -1 0.452 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1 0.453 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.453 * [backup-simplify]: Simplify 0 into 0 0.454 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 0.454 * [backup-simplify]: Simplify (- 1) into -1 0.454 * [backup-simplify]: Simplify (- 0) into 0 0.455 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 0.455 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 0.455 * [backup-simplify]: Simplify 1 into 1 0.457 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 1/6 0.457 * [backup-simplify]: Simplify (- 1) into -1 0.457 * [backup-simplify]: Simplify (- 1) into -1 0.457 * [backup-simplify]: Simplify (- 0) into 0 0.458 * [backup-simplify]: Simplify (- 0) into 0 0.459 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 3) 6)) (* (/ (pow -1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into -1/6 0.459 * [backup-simplify]: Simplify (+ 1/6 -1/6) into 0 0.459 * [backup-simplify]: Simplify 0 into 0 0.462 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 4) 24)) (* (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 1/24 0.462 * [backup-simplify]: Simplify (- 1) into -1 0.462 * [backup-simplify]: Simplify (- 1) into -1 0.462 * [backup-simplify]: Simplify (- 0) into 0 0.463 * [backup-simplify]: Simplify (- 1) into -1 0.463 * [backup-simplify]: Simplify (- 0) into 0 0.463 * [backup-simplify]: Simplify (- 0) into 0 0.463 * [backup-simplify]: Simplify (- 0) into 0 0.466 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 4) 24)) (* (/ (pow -1 2) 2) (/ (pow 0 1) 1)) (* (/ (pow -1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 1/24 0.466 * [backup-simplify]: Simplify (+ 1/24 1/24) into 1/12 0.466 * [backup-simplify]: Simplify 1/12 into 1/12 0.466 * [backup-simplify]: Simplify (+ (* 1/12 (pow im 4)) (+ (* 1 (pow im 2)) 2)) into (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2)) 0.467 * [backup-simplify]: Simplify (+ (exp (- 0.0 (/ 1 im))) (exp (/ 1 im))) into (+ (exp (- (/ 1 im))) (exp (/ 1 im))) 0.467 * [approximate]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in (im) around 0 0.467 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 0.467 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 0.467 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 0.467 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.467 * [taylor]: Taking taylor expansion of im in im 0.467 * [backup-simplify]: Simplify 0 into 0 0.467 * [backup-simplify]: Simplify 1 into 1 0.467 * [backup-simplify]: Simplify (/ 1 1) into 1 0.467 * [backup-simplify]: Simplify (- 1) into -1 0.467 * [backup-simplify]: Simplify (exp (- (/ 1 im))) into (exp (- (/ 1 im))) 0.467 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.467 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.467 * [taylor]: Taking taylor expansion of im in im 0.467 * [backup-simplify]: Simplify 0 into 0 0.467 * [backup-simplify]: Simplify 1 into 1 0.468 * [backup-simplify]: Simplify (/ 1 1) into 1 0.468 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 0.468 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 0.468 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 0.468 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 0.468 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.468 * [taylor]: Taking taylor expansion of im in im 0.468 * [backup-simplify]: Simplify 0 into 0 0.468 * [backup-simplify]: Simplify 1 into 1 0.468 * [backup-simplify]: Simplify (/ 1 1) into 1 0.468 * [backup-simplify]: Simplify (- 1) into -1 0.468 * [backup-simplify]: Simplify (exp (- (/ 1 im))) into (exp (- (/ 1 im))) 0.468 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.468 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.468 * [taylor]: Taking taylor expansion of im in im 0.468 * [backup-simplify]: Simplify 0 into 0 0.468 * [backup-simplify]: Simplify 1 into 1 0.469 * [backup-simplify]: Simplify (/ 1 1) into 1 0.469 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 0.469 * [backup-simplify]: Simplify (+ (exp (- (/ 1 im))) (exp (/ 1 im))) into (+ (exp (- (/ 1 im))) (exp (/ 1 im))) 0.469 * [backup-simplify]: Simplify (+ (exp (- (/ 1 im))) (exp (/ 1 im))) into (+ (exp (- (/ 1 im))) (exp (/ 1 im))) 0.469 * [backup-simplify]: Simplify (+ 0 0) into 0 0.469 * [backup-simplify]: Simplify 0 into 0 0.469 * [backup-simplify]: Simplify (+ 0 0) into 0 0.469 * [backup-simplify]: Simplify 0 into 0 0.470 * [backup-simplify]: Simplify (+ 0 0) into 0 0.470 * [backup-simplify]: Simplify 0 into 0 0.470 * [backup-simplify]: Simplify (+ 0 0) into 0 0.470 * [backup-simplify]: Simplify 0 into 0 0.470 * [backup-simplify]: Simplify (+ 0 0) into 0 0.470 * [backup-simplify]: Simplify 0 into 0 0.470 * [backup-simplify]: Simplify (+ 0 0) into 0 0.470 * [backup-simplify]: Simplify 0 into 0 0.471 * [backup-simplify]: Simplify (+ (exp (- (/ 1 (/ 1 im)))) (exp (/ 1 (/ 1 im)))) into (+ (exp im) (exp (- im))) 0.471 * [backup-simplify]: Simplify (+ (exp (- 0.0 (/ 1 (- im)))) (exp (/ 1 (- im)))) into (+ (exp (/ -1 im)) (exp (/ 1 im))) 0.471 * [approximate]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in (im) around 0 0.471 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.471 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.471 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.471 * [taylor]: Taking taylor expansion of -1 in im 0.471 * [backup-simplify]: Simplify -1 into -1 0.471 * [taylor]: Taking taylor expansion of im in im 0.471 * [backup-simplify]: Simplify 0 into 0 0.471 * [backup-simplify]: Simplify 1 into 1 0.471 * [backup-simplify]: Simplify (/ -1 1) into -1 0.471 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) 0.471 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.471 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.471 * [taylor]: Taking taylor expansion of im in im 0.471 * [backup-simplify]: Simplify 0 into 0 0.471 * [backup-simplify]: Simplify 1 into 1 0.472 * [backup-simplify]: Simplify (/ 1 1) into 1 0.472 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 0.472 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.472 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.472 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.472 * [taylor]: Taking taylor expansion of -1 in im 0.472 * [backup-simplify]: Simplify -1 into -1 0.472 * [taylor]: Taking taylor expansion of im in im 0.472 * [backup-simplify]: Simplify 0 into 0 0.472 * [backup-simplify]: Simplify 1 into 1 0.472 * [backup-simplify]: Simplify (/ -1 1) into -1 0.472 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) 0.472 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.472 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.472 * [taylor]: Taking taylor expansion of im in im 0.472 * [backup-simplify]: Simplify 0 into 0 0.472 * [backup-simplify]: Simplify 1 into 1 0.472 * [backup-simplify]: Simplify (/ 1 1) into 1 0.472 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 0.473 * [backup-simplify]: Simplify (+ (exp (/ -1 im)) (exp (/ 1 im))) into (+ (exp (/ -1 im)) (exp (/ 1 im))) 0.473 * [backup-simplify]: Simplify (+ (exp (/ -1 im)) (exp (/ 1 im))) into (+ (exp (/ -1 im)) (exp (/ 1 im))) 0.473 * [backup-simplify]: Simplify (+ 0 0) into 0 0.473 * [backup-simplify]: Simplify 0 into 0 0.473 * [backup-simplify]: Simplify (+ 0 0) into 0 0.473 * [backup-simplify]: Simplify 0 into 0 0.473 * [backup-simplify]: Simplify (+ 0 0) into 0 0.473 * [backup-simplify]: Simplify 0 into 0 0.474 * [backup-simplify]: Simplify (+ 0 0) into 0 0.474 * [backup-simplify]: Simplify 0 into 0 0.474 * [backup-simplify]: Simplify (+ 0 0) into 0 0.474 * [backup-simplify]: Simplify 0 into 0 0.474 * [backup-simplify]: Simplify (+ 0 0) into 0 0.474 * [backup-simplify]: Simplify 0 into 0 0.474 * [backup-simplify]: Simplify (+ (exp (/ -1 (/ 1 (- im)))) (exp (/ 1 (/ 1 (- im))))) into (+ (exp (* -1 im)) (exp im)) 0.474 * * * [progress]: simplifying candidates 0.475 * [simplify]: Simplifying: (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))) (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))) (+ (+ (log 0.5) (log (sin re))) (log (+ (exp (- 0.0 im)) (exp im)))) (+ (log (* 0.5 (sin re))) (log (+ (exp (- 0.0 im)) (exp im)))) (log (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))) (exp (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))) (* (* (* (* 0.5 0.5) 0.5) (* (* (sin re) (sin re)) (sin re))) (* (* (+ (exp (- 0.0 im)) (exp im)) (+ (exp (- 0.0 im)) (exp im))) (+ (exp (- 0.0 im)) (exp im)))) (* (* (* (* 0.5 (sin re)) (* 0.5 (sin re))) (* 0.5 (sin re))) (* (* (+ (exp (- 0.0 im)) (exp im)) (+ (exp (- 0.0 im)) (exp im))) (+ (exp (- 0.0 im)) (exp im)))) (* (cbrt (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))) (cbrt (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))))) (cbrt (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))) (* (* (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))) (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))) (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))) (sqrt (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))) (sqrt (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))) (* (* 0.5 (sin re)) (exp (- 0.0 im))) (* (* 0.5 (sin re)) (exp im)) (* (exp (- 0.0 im)) (* 0.5 (sin re))) (* (exp im) (* 0.5 (sin re))) (* (* 0.5 (sin re)) (* (cbrt (+ (exp (- 0.0 im)) (exp im))) (cbrt (+ (exp (- 0.0 im)) (exp im))))) (* (* 0.5 (sin re)) (sqrt (+ (exp (- 0.0 im)) (exp im)))) (* (* 0.5 (sin re)) 1) (* (* 0.5 (sin re)) 1) (* (sin re) (+ (exp (- 0.0 im)) (exp im))) (* (* 0.5 (sin re)) (+ (pow (exp (- 0.0 im)) 3) (pow (exp im) 3))) (* (* 0.5 (sin re)) (- (* (exp (- 0.0 im)) (exp (- 0.0 im))) (* (exp im) (exp im)))) (* (exp (exp (- 0.0 im))) (exp (exp im))) (log (+ (exp (- 0.0 im)) (exp im))) (exp (+ (exp (- 0.0 im)) (exp im))) (* (cbrt (+ (exp (- 0.0 im)) (exp im))) (cbrt (+ (exp (- 0.0 im)) (exp im)))) (cbrt (+ (exp (- 0.0 im)) (exp im))) (* (* (+ (exp (- 0.0 im)) (exp im)) (+ (exp (- 0.0 im)) (exp im))) (+ (exp (- 0.0 im)) (exp im))) (sqrt (+ (exp (- 0.0 im)) (exp im))) (sqrt (+ (exp (- 0.0 im)) (exp im))) (+ (pow (exp (- 0.0 im)) 3) (pow (exp im) 3)) (+ (* (exp (- 0.0 im)) (exp (- 0.0 im))) (- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))) (- (* (exp (- 0.0 im)) (exp (- 0.0 im))) (* (exp im) (exp im))) (- (exp (- 0.0 im)) (exp im)) (+ (exp (- 0.0 im)) (exp im)) (- (+ (* 1.0 re) (* 0.5 (* re (pow im 2)))) (* 0.16666666666666666 (pow re 3))) (* 0.5 (* (sin re) (+ (exp im) (exp (- im))))) (* 0.5 (* (+ (exp (* -1 im)) (exp im)) (sin re))) (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2)) (+ (exp im) (exp (- im))) (+ (exp (* -1 im)) (exp im)) 0.475 * [simplify]: Sending expressions to egg_math: (* (* h3 (sin h2)) (+ (exp (- h1 h0)) (exp h0))) (* (* h3 (sin h2)) (+ (exp (- h1 h0)) (exp h0))) (+ (+ (log h3) (log (sin h2))) (log (+ (exp (- h1 h0)) (exp h0)))) (+ (log (* h3 (sin h2))) (log (+ (exp (- h1 h0)) (exp h0)))) (log (* (* h3 (sin h2)) (+ (exp (- h1 h0)) (exp h0)))) (exp (* (* h3 (sin h2)) (+ (exp (- h1 h0)) (exp h0)))) (* (* (* (* h3 h3) h3) (* (* (sin h2) (sin h2)) (sin h2))) (* (* (+ (exp (- h1 h0)) (exp h0)) (+ (exp (- h1 h0)) (exp h0))) (+ (exp (- h1 h0)) (exp h0)))) (* (* (* (* h3 (sin h2)) (* h3 (sin h2))) (* h3 (sin h2))) (* (* (+ (exp (- h1 h0)) (exp h0)) (+ (exp (- h1 h0)) (exp h0))) (+ (exp (- h1 h0)) (exp h0)))) (* (cbrt (* (* h3 (sin h2)) (+ (exp (- h1 h0)) (exp h0)))) (cbrt (* (* h3 (sin h2)) (+ (exp (- h1 h0)) (exp h0))))) (cbrt (* (* h3 (sin h2)) (+ (exp (- h1 h0)) (exp h0)))) (* (* (* (* h3 (sin h2)) (+ (exp (- h1 h0)) (exp h0))) (* (* h3 (sin h2)) (+ (exp (- h1 h0)) (exp h0)))) (* (* h3 (sin h2)) (+ (exp (- h1 h0)) (exp h0)))) (sqrt (* (* h3 (sin h2)) (+ (exp (- h1 h0)) (exp h0)))) (sqrt (* (* h3 (sin h2)) (+ (exp (- h1 h0)) (exp h0)))) (* (* h3 (sin h2)) (exp (- h1 h0))) (* (* h3 (sin h2)) (exp h0)) (* (exp (- h1 h0)) (* h3 (sin h2))) (* (exp h0) (* h3 (sin h2))) (* (* h3 (sin h2)) (* (cbrt (+ (exp (- h1 h0)) (exp h0))) (cbrt (+ (exp (- h1 h0)) (exp h0))))) (* (* h3 (sin h2)) (sqrt (+ (exp (- h1 h0)) (exp h0)))) (* (* h3 (sin h2)) 1) (* (* h3 (sin h2)) 1) (* (sin h2) (+ (exp (- h1 h0)) (exp h0))) (* (* h3 (sin h2)) (+ (pow (exp (- h1 h0)) 3) (pow (exp h0) 3))) (* (* h3 (sin h2)) (- (* (exp (- h1 h0)) (exp (- h1 h0))) (* (exp h0) (exp h0)))) (* (exp (exp (- h1 h0))) (exp (exp h0))) (log (+ (exp (- h1 h0)) (exp h0))) (exp (+ (exp (- h1 h0)) (exp h0))) (* (cbrt (+ (exp (- h1 h0)) (exp h0))) (cbrt (+ (exp (- h1 h0)) (exp h0)))) (cbrt (+ (exp (- h1 h0)) (exp h0))) (* (* (+ (exp (- h1 h0)) (exp h0)) (+ (exp (- h1 h0)) (exp h0))) (+ (exp (- h1 h0)) (exp h0))) (sqrt (+ (exp (- h1 h0)) (exp h0))) (sqrt (+ (exp (- h1 h0)) (exp h0))) (+ (pow (exp (- h1 h0)) 3) (pow (exp h0) 3)) (+ (* (exp (- h1 h0)) (exp (- h1 h0))) (- (* (exp h0) (exp h0)) (* (exp (- h1 h0)) (exp h0)))) (- (* (exp (- h1 h0)) (exp (- h1 h0))) (* (exp h0) (exp h0))) (- (exp (- h1 h0)) (exp h0)) (+ (exp (- h1 h0)) (exp h0)) (- (+ (* h5 h2) (* h3 (* h2 (pow h0 2)))) (* h4 (pow h2 3))) (* h3 (* (sin h2) (+ (exp h0) (exp (- h0))))) (* h3 (* (+ (exp (* -1 h0)) (exp h0)) (sin h2))) (+ (* 1/12 (pow h0 4)) (+ (pow h0 2) 2)) (+ (exp h0) (exp (- h0))) (+ (exp (* -1 h0)) (exp h0)) 0.512 * * * [progress]: adding candidates to table 0.614 * * [progress]: iteration 2 / 4 0.614 * * * [progress]: picking best candidate 0.623 * * * * [pick]: Picked # 0.623 * * * [progress]: localizing error 0.635 * * * [progress]: generating rewritten candidates 0.635 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.682 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 1) 0.695 * * * [progress]: generating series expansions 0.695 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.695 * [backup-simplify]: Simplify (* (+ (exp (* -1 im)) (exp im)) (sin re)) into (* (+ (exp (* -1 im)) (exp im)) (sin re)) 0.695 * [approximate]: Taking taylor expansion of (* (+ (exp (* -1 im)) (exp im)) (sin re)) in (im re) around 0 0.695 * [taylor]: Taking taylor expansion of (* (+ (exp (* -1 im)) (exp im)) (sin re)) in re 0.695 * [taylor]: Taking taylor expansion of (+ (exp (* -1 im)) (exp im)) in re 0.695 * [taylor]: Taking taylor expansion of (exp (* -1 im)) in re 0.695 * [taylor]: Taking taylor expansion of (* -1 im) in re 0.695 * [taylor]: Taking taylor expansion of -1 in re 0.695 * [backup-simplify]: Simplify -1 into -1 0.695 * [taylor]: Taking taylor expansion of im in re 0.695 * [backup-simplify]: Simplify im into im 0.695 * [backup-simplify]: Simplify (* -1 im) into (* -1 im) 0.695 * [backup-simplify]: Simplify (exp (* -1 im)) into (exp (* -1 im)) 0.695 * [taylor]: Taking taylor expansion of (exp im) in re 0.695 * [taylor]: Taking taylor expansion of im in re 0.695 * [backup-simplify]: Simplify im into im 0.695 * [backup-simplify]: Simplify (exp im) into (exp im) 0.695 * [taylor]: Taking taylor expansion of (sin re) in re 0.695 * [taylor]: Taking taylor expansion of re in re 0.695 * [backup-simplify]: Simplify 0 into 0 0.695 * [backup-simplify]: Simplify 1 into 1 0.695 * [taylor]: Taking taylor expansion of (* (+ (exp (* -1 im)) (exp im)) (sin re)) in im 0.695 * [taylor]: Taking taylor expansion of (+ (exp (* -1 im)) (exp im)) in im 0.695 * [taylor]: Taking taylor expansion of (exp (* -1 im)) in im 0.695 * [taylor]: Taking taylor expansion of (* -1 im) in im 0.695 * [taylor]: Taking taylor expansion of -1 in im 0.695 * [backup-simplify]: Simplify -1 into -1 0.695 * [taylor]: Taking taylor expansion of im in im 0.695 * [backup-simplify]: Simplify 0 into 0 0.695 * [backup-simplify]: Simplify 1 into 1 0.696 * [backup-simplify]: Simplify (* -1 0) into 0 0.696 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 0)) into -1 0.697 * [backup-simplify]: Simplify (exp 0) into 1 0.697 * [taylor]: Taking taylor expansion of (exp im) in im 0.697 * [taylor]: Taking taylor expansion of im in im 0.697 * [backup-simplify]: Simplify 0 into 0 0.697 * [backup-simplify]: Simplify 1 into 1 0.697 * [backup-simplify]: Simplify (exp 0) into 1 0.697 * [taylor]: Taking taylor expansion of (sin re) in im 0.697 * [taylor]: Taking taylor expansion of re in im 0.697 * [backup-simplify]: Simplify re into re 0.697 * [backup-simplify]: Simplify (sin re) into (sin re) 0.697 * [backup-simplify]: Simplify (cos re) into (cos re) 0.697 * [taylor]: Taking taylor expansion of (* (+ (exp (* -1 im)) (exp im)) (sin re)) in im 0.697 * [taylor]: Taking taylor expansion of (+ (exp (* -1 im)) (exp im)) in im 0.697 * [taylor]: Taking taylor expansion of (exp (* -1 im)) in im 0.697 * [taylor]: Taking taylor expansion of (* -1 im) in im 0.697 * [taylor]: Taking taylor expansion of -1 in im 0.697 * [backup-simplify]: Simplify -1 into -1 0.697 * [taylor]: Taking taylor expansion of im in im 0.697 * [backup-simplify]: Simplify 0 into 0 0.697 * [backup-simplify]: Simplify 1 into 1 0.697 * [backup-simplify]: Simplify (* -1 0) into 0 0.698 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 0)) into -1 0.698 * [backup-simplify]: Simplify (exp 0) into 1 0.698 * [taylor]: Taking taylor expansion of (exp im) in im 0.698 * [taylor]: Taking taylor expansion of im in im 0.698 * [backup-simplify]: Simplify 0 into 0 0.698 * [backup-simplify]: Simplify 1 into 1 0.698 * [backup-simplify]: Simplify (exp 0) into 1 0.698 * [taylor]: Taking taylor expansion of (sin re) in im 0.698 * [taylor]: Taking taylor expansion of re in im 0.698 * [backup-simplify]: Simplify re into re 0.698 * [backup-simplify]: Simplify (sin re) into (sin re) 0.698 * [backup-simplify]: Simplify (cos re) into (cos re) 0.698 * [backup-simplify]: Simplify (+ 1 1) into 2 0.698 * [backup-simplify]: Simplify (* (sin re) 1) into (sin re) 0.698 * [backup-simplify]: Simplify (* (cos re) 0) into 0 0.698 * [backup-simplify]: Simplify (+ (sin re) 0) into (sin re) 0.699 * [backup-simplify]: Simplify (* 2 (sin re)) into (* 2 (sin re)) 0.699 * [taylor]: Taking taylor expansion of (* 2 (sin re)) in re 0.699 * [taylor]: Taking taylor expansion of 2 in re 0.699 * [backup-simplify]: Simplify 2 into 2 0.699 * [taylor]: Taking taylor expansion of (sin re) in re 0.699 * [taylor]: Taking taylor expansion of re in re 0.699 * [backup-simplify]: Simplify 0 into 0 0.699 * [backup-simplify]: Simplify 1 into 1 0.699 * [backup-simplify]: Simplify (* 2 0) into 0 0.699 * [backup-simplify]: Simplify 0 into 0 0.699 * [backup-simplify]: Simplify (+ 0) into 0 0.700 * [backup-simplify]: Simplify (+ (* (sin re) 0) (* 0 1)) into 0 0.700 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 0.700 * [backup-simplify]: Simplify (+ (* (cos re) 0) (* 0 0)) into 0 0.701 * [backup-simplify]: Simplify (+ 0 0) into 0 0.701 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1 0.702 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 0.702 * [backup-simplify]: Simplify (+ -1 1) into 0 0.703 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (sin re))) into 0 0.703 * [taylor]: Taking taylor expansion of 0 in re 0.703 * [backup-simplify]: Simplify 0 into 0 0.703 * [backup-simplify]: Simplify 0 into 0 0.703 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 0.704 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 0.704 * [backup-simplify]: Simplify 2 into 2 0.704 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 0.705 * [backup-simplify]: Simplify (+ (* (sin re) 0) (+ (* 0 0) (* 0 1))) into 0 0.705 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.705 * [backup-simplify]: Simplify (+ (* (cos re) 0) (+ (* 0 0) (* 0 0))) into 0 0.706 * [backup-simplify]: Simplify (+ 0 0) into 0 0.706 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 0))) into 0 0.707 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 0.708 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 0.709 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 0.709 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 1 (sin re)))) into (sin re) 0.709 * [taylor]: Taking taylor expansion of (sin re) in re 0.709 * [taylor]: Taking taylor expansion of re in re 0.709 * [backup-simplify]: Simplify 0 into 0 0.709 * [backup-simplify]: Simplify 1 into 1 0.709 * [backup-simplify]: Simplify 0 into 0 0.709 * [backup-simplify]: Simplify 0 into 0 0.710 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.710 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 0.710 * [backup-simplify]: Simplify 0 into 0 0.711 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.712 * [backup-simplify]: Simplify (+ (* (sin re) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.713 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 0.713 * [backup-simplify]: Simplify (+ (* (cos re) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 0.713 * [backup-simplify]: Simplify (+ 0 0) into 0 0.714 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.716 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 3) 6)) (* (/ (pow -1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into -1/6 0.717 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 1/6 0.717 * [backup-simplify]: Simplify (+ -1/6 1/6) into 0 0.718 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 1 0) (* 0 (sin re))))) into 0 0.718 * [taylor]: Taking taylor expansion of 0 in re 0.718 * [backup-simplify]: Simplify 0 into 0 0.718 * [backup-simplify]: Simplify 0 into 0 0.719 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 0.719 * [backup-simplify]: Simplify 1 into 1 0.719 * [backup-simplify]: Simplify 0 into 0 0.720 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 0.720 * [backup-simplify]: Simplify (+ (* 2 -1/6) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into -1/3 0.720 * [backup-simplify]: Simplify -1/3 into -1/3 0.721 * [backup-simplify]: Simplify (+ (* -1/3 (pow (* re 1) 3)) (+ (* 1 (* re (pow im 2))) (* 2 (* re 1)))) into (- (+ (* 2 re) (* re (pow im 2))) (* 1/3 (pow re 3))) 0.721 * [backup-simplify]: Simplify (* (+ (exp (* -1 (/ 1 im))) (exp (/ 1 im))) (sin (/ 1 re))) into (* (sin (/ 1 re)) (+ (exp (/ -1 im)) (exp (/ 1 im)))) 0.721 * [approximate]: Taking taylor expansion of (* (sin (/ 1 re)) (+ (exp (/ -1 im)) (exp (/ 1 im)))) in (im re) around 0 0.721 * [taylor]: Taking taylor expansion of (* (sin (/ 1 re)) (+ (exp (/ -1 im)) (exp (/ 1 im)))) in re 0.721 * [taylor]: Taking taylor expansion of (sin (/ 1 re)) in re 0.721 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.721 * [taylor]: Taking taylor expansion of re in re 0.721 * [backup-simplify]: Simplify 0 into 0 0.721 * [backup-simplify]: Simplify 1 into 1 0.721 * [backup-simplify]: Simplify (/ 1 1) into 1 0.721 * [backup-simplify]: Simplify (sin (/ 1 re)) into (sin (/ 1 re)) 0.721 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re 0.721 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.721 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.721 * [taylor]: Taking taylor expansion of -1 in re 0.721 * [backup-simplify]: Simplify -1 into -1 0.721 * [taylor]: Taking taylor expansion of im in re 0.721 * [backup-simplify]: Simplify im into im 0.721 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.722 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) 0.722 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.722 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.722 * [taylor]: Taking taylor expansion of im in re 0.722 * [backup-simplify]: Simplify im into im 0.722 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.722 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 0.722 * [taylor]: Taking taylor expansion of (* (sin (/ 1 re)) (+ (exp (/ -1 im)) (exp (/ 1 im)))) in im 0.722 * [taylor]: Taking taylor expansion of (sin (/ 1 re)) in im 0.722 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.722 * [taylor]: Taking taylor expansion of re in im 0.722 * [backup-simplify]: Simplify re into re 0.722 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.722 * [backup-simplify]: Simplify (sin (/ 1 re)) into (sin (/ 1 re)) 0.722 * [backup-simplify]: Simplify (cos (/ 1 re)) into (cos (/ 1 re)) 0.722 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.722 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.722 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.722 * [taylor]: Taking taylor expansion of -1 in im 0.722 * [backup-simplify]: Simplify -1 into -1 0.722 * [taylor]: Taking taylor expansion of im in im 0.722 * [backup-simplify]: Simplify 0 into 0 0.722 * [backup-simplify]: Simplify 1 into 1 0.722 * [backup-simplify]: Simplify (/ -1 1) into -1 0.722 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) 0.722 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.722 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.722 * [taylor]: Taking taylor expansion of im in im 0.722 * [backup-simplify]: Simplify 0 into 0 0.722 * [backup-simplify]: Simplify 1 into 1 0.723 * [backup-simplify]: Simplify (/ 1 1) into 1 0.723 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 0.723 * [taylor]: Taking taylor expansion of (* (sin (/ 1 re)) (+ (exp (/ -1 im)) (exp (/ 1 im)))) in im 0.723 * [taylor]: Taking taylor expansion of (sin (/ 1 re)) in im 0.723 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.723 * [taylor]: Taking taylor expansion of re in im 0.723 * [backup-simplify]: Simplify re into re 0.723 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.723 * [backup-simplify]: Simplify (sin (/ 1 re)) into (sin (/ 1 re)) 0.723 * [backup-simplify]: Simplify (cos (/ 1 re)) into (cos (/ 1 re)) 0.723 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.723 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.723 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.723 * [taylor]: Taking taylor expansion of -1 in im 0.723 * [backup-simplify]: Simplify -1 into -1 0.723 * [taylor]: Taking taylor expansion of im in im 0.723 * [backup-simplify]: Simplify 0 into 0 0.723 * [backup-simplify]: Simplify 1 into 1 0.723 * [backup-simplify]: Simplify (/ -1 1) into -1 0.723 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) 0.723 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.723 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.724 * [taylor]: Taking taylor expansion of im in im 0.724 * [backup-simplify]: Simplify 0 into 0 0.724 * [backup-simplify]: Simplify 1 into 1 0.724 * [backup-simplify]: Simplify (/ 1 1) into 1 0.724 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 0.724 * [backup-simplify]: Simplify (* (sin (/ 1 re)) 1) into (sin (/ 1 re)) 0.724 * [backup-simplify]: Simplify (* (cos (/ 1 re)) 0) into 0 0.724 * [backup-simplify]: Simplify (+ (sin (/ 1 re)) 0) into (sin (/ 1 re)) 0.724 * [backup-simplify]: Simplify (+ (exp (/ -1 im)) (exp (/ 1 im))) into (+ (exp (/ -1 im)) (exp (/ 1 im))) 0.724 * [backup-simplify]: Simplify (* (sin (/ 1 re)) (+ (exp (/ -1 im)) (exp (/ 1 im)))) into (* (sin (/ 1 re)) (+ (exp (/ -1 im)) (exp (/ 1 im)))) 0.724 * [taylor]: Taking taylor expansion of (* (sin (/ 1 re)) (+ (exp (/ -1 im)) (exp (/ 1 im)))) in re 0.724 * [taylor]: Taking taylor expansion of (sin (/ 1 re)) in re 0.724 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.724 * [taylor]: Taking taylor expansion of re in re 0.724 * [backup-simplify]: Simplify 0 into 0 0.724 * [backup-simplify]: Simplify 1 into 1 0.725 * [backup-simplify]: Simplify (/ 1 1) into 1 0.725 * [backup-simplify]: Simplify (sin (/ 1 re)) into (sin (/ 1 re)) 0.725 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re 0.725 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.725 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.725 * [taylor]: Taking taylor expansion of -1 in re 0.725 * [backup-simplify]: Simplify -1 into -1 0.725 * [taylor]: Taking taylor expansion of im in re 0.725 * [backup-simplify]: Simplify im into im 0.725 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.725 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) 0.725 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.725 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.725 * [taylor]: Taking taylor expansion of im in re 0.725 * [backup-simplify]: Simplify im into im 0.725 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.725 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 0.725 * [backup-simplify]: Simplify (+ (exp (/ -1 im)) (exp (/ 1 im))) into (+ (exp (/ -1 im)) (exp (/ 1 im))) 0.725 * [backup-simplify]: Simplify (* (sin (/ 1 re)) (+ (exp (/ -1 im)) (exp (/ 1 im)))) into (* (sin (/ 1 re)) (+ (exp (/ -1 im)) (exp (/ 1 im)))) 0.725 * [backup-simplify]: Simplify (* (sin (/ 1 re)) (+ (exp (/ -1 im)) (exp (/ 1 im)))) into (* (sin (/ 1 re)) (+ (exp (/ -1 im)) (exp (/ 1 im)))) 0.726 * [backup-simplify]: Simplify (+ 0 0) into 0 0.726 * [backup-simplify]: Simplify (+ 0) into 0 0.726 * [backup-simplify]: Simplify (+ (* (sin (/ 1 re)) 0) (* 0 1)) into 0 0.726 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 0.727 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 0.727 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (* 0 0)) into 0 0.727 * [backup-simplify]: Simplify (+ 0 0) into 0 0.728 * [backup-simplify]: Simplify (+ (* (sin (/ 1 re)) 0) (* 0 (+ (exp (/ -1 im)) (exp (/ 1 im))))) into 0 0.728 * [taylor]: Taking taylor expansion of 0 in re 0.728 * [backup-simplify]: Simplify 0 into 0 0.728 * [backup-simplify]: Simplify 0 into 0 0.728 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 0.728 * [backup-simplify]: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 1) 1)))) into 0 0.728 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 0.729 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 1) 1)))) into 0 0.729 * [backup-simplify]: Simplify (+ 0 0) into 0 0.729 * [backup-simplify]: Simplify (+ (* (sin (/ 1 re)) 0) (* 0 (+ (exp (/ -1 im)) (exp (/ 1 im))))) into 0 0.729 * [backup-simplify]: Simplify 0 into 0 0.729 * [backup-simplify]: Simplify (+ 0 0) into 0 0.730 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 0.731 * [backup-simplify]: Simplify (+ (* (sin (/ 1 re)) 0) (+ (* 0 0) (* 0 1))) into 0 0.731 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 0.731 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.731 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (+ (* 0 0) (* 0 0))) into 0 0.732 * [backup-simplify]: Simplify (+ 0 0) into 0 0.732 * [backup-simplify]: Simplify (+ (* (sin (/ 1 re)) 0) (+ (* 0 0) (* 0 (+ (exp (/ -1 im)) (exp (/ 1 im)))))) into 0 0.732 * [taylor]: Taking taylor expansion of 0 in re 0.732 * [backup-simplify]: Simplify 0 into 0 0.732 * [backup-simplify]: Simplify 0 into 0 0.732 * [backup-simplify]: Simplify 0 into 0 0.732 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 0.733 * [backup-simplify]: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.733 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 0.734 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.734 * [backup-simplify]: Simplify (+ 0 0) into 0 0.735 * [backup-simplify]: Simplify (+ (* (sin (/ 1 re)) 0) (+ (* 0 0) (* 0 (+ (exp (/ -1 im)) (exp (/ 1 im)))))) into 0 0.735 * [backup-simplify]: Simplify 0 into 0 0.735 * [backup-simplify]: Simplify (+ 0 0) into 0 0.736 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.736 * [backup-simplify]: Simplify (+ (* (sin (/ 1 re)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.736 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)) (* 0 (/ 0 re)))) into 0 0.737 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 0.738 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 0.738 * [backup-simplify]: Simplify (+ 0 0) into 0 0.739 * [backup-simplify]: Simplify (+ (* (sin (/ 1 re)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (exp (/ -1 im)) (exp (/ 1 im))))))) into 0 0.739 * [taylor]: Taking taylor expansion of 0 in re 0.739 * [backup-simplify]: Simplify 0 into 0 0.739 * [backup-simplify]: Simplify 0 into 0 0.739 * [backup-simplify]: Simplify (* (sin (/ 1 (/ 1 re))) (+ (exp (/ -1 (/ 1 im))) (exp (/ 1 (/ 1 im))))) into (* (+ (exp (* -1 im)) (exp im)) (sin re)) 0.739 * [backup-simplify]: Simplify (* (+ (exp (* -1 (/ 1 (- im)))) (exp (/ 1 (- im)))) (sin (/ 1 (- re)))) into (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (sin (/ -1 re))) 0.739 * [approximate]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (sin (/ -1 re))) in (im re) around 0 0.739 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (sin (/ -1 re))) in re 0.739 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re 0.739 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.739 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.739 * [taylor]: Taking taylor expansion of -1 in re 0.739 * [backup-simplify]: Simplify -1 into -1 0.739 * [taylor]: Taking taylor expansion of im in re 0.739 * [backup-simplify]: Simplify im into im 0.739 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.739 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) 0.739 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.739 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.739 * [taylor]: Taking taylor expansion of im in re 0.739 * [backup-simplify]: Simplify im into im 0.739 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.740 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 0.740 * [taylor]: Taking taylor expansion of (sin (/ -1 re)) in re 0.740 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.740 * [taylor]: Taking taylor expansion of -1 in re 0.740 * [backup-simplify]: Simplify -1 into -1 0.740 * [taylor]: Taking taylor expansion of re in re 0.740 * [backup-simplify]: Simplify 0 into 0 0.740 * [backup-simplify]: Simplify 1 into 1 0.740 * [backup-simplify]: Simplify (/ -1 1) into -1 0.740 * [backup-simplify]: Simplify (sin (/ -1 re)) into (sin (/ -1 re)) 0.740 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (sin (/ -1 re))) in im 0.740 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.740 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.740 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.740 * [taylor]: Taking taylor expansion of -1 in im 0.740 * [backup-simplify]: Simplify -1 into -1 0.740 * [taylor]: Taking taylor expansion of im in im 0.740 * [backup-simplify]: Simplify 0 into 0 0.740 * [backup-simplify]: Simplify 1 into 1 0.740 * [backup-simplify]: Simplify (/ -1 1) into -1 0.740 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) 0.741 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.741 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.741 * [taylor]: Taking taylor expansion of im in im 0.741 * [backup-simplify]: Simplify 0 into 0 0.741 * [backup-simplify]: Simplify 1 into 1 0.741 * [backup-simplify]: Simplify (/ 1 1) into 1 0.741 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 0.741 * [taylor]: Taking taylor expansion of (sin (/ -1 re)) in im 0.741 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.741 * [taylor]: Taking taylor expansion of -1 in im 0.741 * [backup-simplify]: Simplify -1 into -1 0.741 * [taylor]: Taking taylor expansion of re in im 0.741 * [backup-simplify]: Simplify re into re 0.741 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 0.741 * [backup-simplify]: Simplify (sin (/ -1 re)) into (sin (/ -1 re)) 0.741 * [backup-simplify]: Simplify (cos (/ -1 re)) into (cos (/ -1 re)) 0.741 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (sin (/ -1 re))) in im 0.741 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.741 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.741 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.741 * [taylor]: Taking taylor expansion of -1 in im 0.741 * [backup-simplify]: Simplify -1 into -1 0.741 * [taylor]: Taking taylor expansion of im in im 0.741 * [backup-simplify]: Simplify 0 into 0 0.741 * [backup-simplify]: Simplify 1 into 1 0.742 * [backup-simplify]: Simplify (/ -1 1) into -1 0.742 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) 0.742 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.742 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.742 * [taylor]: Taking taylor expansion of im in im 0.742 * [backup-simplify]: Simplify 0 into 0 0.742 * [backup-simplify]: Simplify 1 into 1 0.742 * [backup-simplify]: Simplify (/ 1 1) into 1 0.742 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 0.742 * [taylor]: Taking taylor expansion of (sin (/ -1 re)) in im 0.742 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.742 * [taylor]: Taking taylor expansion of -1 in im 0.742 * [backup-simplify]: Simplify -1 into -1 0.742 * [taylor]: Taking taylor expansion of re in im 0.742 * [backup-simplify]: Simplify re into re 0.742 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 0.742 * [backup-simplify]: Simplify (sin (/ -1 re)) into (sin (/ -1 re)) 0.742 * [backup-simplify]: Simplify (cos (/ -1 re)) into (cos (/ -1 re)) 0.742 * [backup-simplify]: Simplify (+ (exp (/ -1 im)) (exp (/ 1 im))) into (+ (exp (/ -1 im)) (exp (/ 1 im))) 0.742 * [backup-simplify]: Simplify (* (sin (/ -1 re)) 1) into (sin (/ -1 re)) 0.743 * [backup-simplify]: Simplify (* (cos (/ -1 re)) 0) into 0 0.743 * [backup-simplify]: Simplify (+ (sin (/ -1 re)) 0) into (sin (/ -1 re)) 0.743 * [backup-simplify]: Simplify (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (sin (/ -1 re))) into (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (sin (/ -1 re))) 0.743 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (sin (/ -1 re))) in re 0.743 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re 0.743 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.743 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.743 * [taylor]: Taking taylor expansion of -1 in re 0.743 * [backup-simplify]: Simplify -1 into -1 0.743 * [taylor]: Taking taylor expansion of im in re 0.743 * [backup-simplify]: Simplify im into im 0.743 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.743 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) 0.743 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.743 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.743 * [taylor]: Taking taylor expansion of im in re 0.743 * [backup-simplify]: Simplify im into im 0.743 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.743 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 0.743 * [taylor]: Taking taylor expansion of (sin (/ -1 re)) in re 0.743 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.743 * [taylor]: Taking taylor expansion of -1 in re 0.743 * [backup-simplify]: Simplify -1 into -1 0.743 * [taylor]: Taking taylor expansion of re in re 0.743 * [backup-simplify]: Simplify 0 into 0 0.743 * [backup-simplify]: Simplify 1 into 1 0.743 * [backup-simplify]: Simplify (/ -1 1) into -1 0.744 * [backup-simplify]: Simplify (sin (/ -1 re)) into (sin (/ -1 re)) 0.744 * [backup-simplify]: Simplify (+ (exp (/ -1 im)) (exp (/ 1 im))) into (+ (exp (/ -1 im)) (exp (/ 1 im))) 0.744 * [backup-simplify]: Simplify (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (sin (/ -1 re))) into (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (sin (/ -1 re))) 0.744 * [backup-simplify]: Simplify (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (sin (/ -1 re))) into (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (sin (/ -1 re))) 0.744 * [backup-simplify]: Simplify (+ 0) into 0 0.744 * [backup-simplify]: Simplify (+ (* (sin (/ -1 re)) 0) (* 0 1)) into 0 0.745 * [backup-simplify]: Simplify (- (/ 0 re) (+ (* (/ -1 re) (/ 0 re)))) into 0 0.745 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 0.745 * [backup-simplify]: Simplify (+ (* (cos (/ -1 re)) 0) (* 0 0)) into 0 0.746 * [backup-simplify]: Simplify (+ 0 0) into 0 0.746 * [backup-simplify]: Simplify (+ 0 0) into 0 0.746 * [backup-simplify]: Simplify (+ (* (+ (exp (/ -1 im)) (exp (/ 1 im))) 0) (* 0 (sin (/ -1 re)))) into 0 0.746 * [taylor]: Taking taylor expansion of 0 in re 0.746 * [backup-simplify]: Simplify 0 into 0 0.746 * [backup-simplify]: Simplify 0 into 0 0.746 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 0.747 * [backup-simplify]: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 1) 1)))) into 0 0.747 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 0.747 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 1) 1)))) into 0 0.748 * [backup-simplify]: Simplify (+ 0 0) into 0 0.748 * [backup-simplify]: Simplify (+ (* (+ (exp (/ -1 im)) (exp (/ 1 im))) 0) (* 0 (sin (/ -1 re)))) into 0 0.748 * [backup-simplify]: Simplify 0 into 0 0.748 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 0.749 * [backup-simplify]: Simplify (+ (* (sin (/ -1 re)) 0) (+ (* 0 0) (* 0 1))) into 0 0.749 * [backup-simplify]: Simplify (- (/ 0 re) (+ (* (/ -1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 0.749 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.750 * [backup-simplify]: Simplify (+ (* (cos (/ -1 re)) 0) (+ (* 0 0) (* 0 0))) into 0 0.750 * [backup-simplify]: Simplify (+ 0 0) into 0 0.750 * [backup-simplify]: Simplify (+ 0 0) into 0 0.751 * [backup-simplify]: Simplify (+ (* (+ (exp (/ -1 im)) (exp (/ 1 im))) 0) (+ (* 0 0) (* 0 (sin (/ -1 re))))) into 0 0.751 * [taylor]: Taking taylor expansion of 0 in re 0.751 * [backup-simplify]: Simplify 0 into 0 0.751 * [backup-simplify]: Simplify 0 into 0 0.751 * [backup-simplify]: Simplify 0 into 0 0.751 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 0.752 * [backup-simplify]: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.752 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 0.753 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.753 * [backup-simplify]: Simplify (+ 0 0) into 0 0.753 * [backup-simplify]: Simplify (+ (* (+ (exp (/ -1 im)) (exp (/ 1 im))) 0) (+ (* 0 0) (* 0 (sin (/ -1 re))))) into 0 0.753 * [backup-simplify]: Simplify 0 into 0 0.754 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.754 * [backup-simplify]: Simplify (+ (* (sin (/ -1 re)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.755 * [backup-simplify]: Simplify (- (/ 0 re) (+ (* (/ -1 re) (/ 0 re)) (* 0 (/ 0 re)) (* 0 (/ 0 re)))) into 0 0.755 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 0.756 * [backup-simplify]: Simplify (+ (* (cos (/ -1 re)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 0.756 * [backup-simplify]: Simplify (+ 0 0) into 0 0.756 * [backup-simplify]: Simplify (+ 0 0) into 0 0.757 * [backup-simplify]: Simplify (+ (* (+ (exp (/ -1 im)) (exp (/ 1 im))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 re)))))) into 0 0.757 * [taylor]: Taking taylor expansion of 0 in re 0.757 * [backup-simplify]: Simplify 0 into 0 0.757 * [backup-simplify]: Simplify 0 into 0 0.757 * [backup-simplify]: Simplify (* (+ (exp (/ -1 (/ 1 (- im)))) (exp (/ 1 (/ 1 (- im))))) (sin (/ -1 (/ 1 (- re))))) into (* (+ (exp (* -1 im)) (exp im)) (sin re)) 0.757 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 1) 0.757 * [backup-simplify]: Simplify (+ (exp (* -1 im)) (exp im)) into (+ (exp (* -1 im)) (exp im)) 0.757 * [approximate]: Taking taylor expansion of (+ (exp (* -1 im)) (exp im)) in (im) around 0 0.757 * [taylor]: Taking taylor expansion of (+ (exp (* -1 im)) (exp im)) in im 0.757 * [taylor]: Taking taylor expansion of (exp (* -1 im)) in im 0.757 * [taylor]: Taking taylor expansion of (* -1 im) in im 0.757 * [taylor]: Taking taylor expansion of -1 in im 0.757 * [backup-simplify]: Simplify -1 into -1 0.757 * [taylor]: Taking taylor expansion of im in im 0.757 * [backup-simplify]: Simplify 0 into 0 0.757 * [backup-simplify]: Simplify 1 into 1 0.758 * [backup-simplify]: Simplify (* -1 0) into 0 0.758 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 0)) into -1 0.758 * [backup-simplify]: Simplify (exp 0) into 1 0.758 * [taylor]: Taking taylor expansion of (exp im) in im 0.758 * [taylor]: Taking taylor expansion of im in im 0.758 * [backup-simplify]: Simplify 0 into 0 0.758 * [backup-simplify]: Simplify 1 into 1 0.758 * [backup-simplify]: Simplify (exp 0) into 1 0.758 * [taylor]: Taking taylor expansion of (+ (exp (* -1 im)) (exp im)) in im 0.758 * [taylor]: Taking taylor expansion of (exp (* -1 im)) in im 0.758 * [taylor]: Taking taylor expansion of (* -1 im) in im 0.758 * [taylor]: Taking taylor expansion of -1 in im 0.758 * [backup-simplify]: Simplify -1 into -1 0.758 * [taylor]: Taking taylor expansion of im in im 0.758 * [backup-simplify]: Simplify 0 into 0 0.758 * [backup-simplify]: Simplify 1 into 1 0.759 * [backup-simplify]: Simplify (* -1 0) into 0 0.759 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 0)) into -1 0.759 * [backup-simplify]: Simplify (exp 0) into 1 0.759 * [taylor]: Taking taylor expansion of (exp im) in im 0.759 * [taylor]: Taking taylor expansion of im in im 0.759 * [backup-simplify]: Simplify 0 into 0 0.759 * [backup-simplify]: Simplify 1 into 1 0.759 * [backup-simplify]: Simplify (exp 0) into 1 0.760 * [backup-simplify]: Simplify (+ 1 1) into 2 0.760 * [backup-simplify]: Simplify 2 into 2 0.760 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1 0.761 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 0.761 * [backup-simplify]: Simplify (+ -1 1) into 0 0.761 * [backup-simplify]: Simplify 0 into 0 0.762 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 0))) into 0 0.763 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 0.764 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 0.764 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 0.764 * [backup-simplify]: Simplify 1 into 1 0.768 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.769 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 3) 6)) (* (/ (pow -1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into -1/6 0.771 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 1/6 0.771 * [backup-simplify]: Simplify (+ -1/6 1/6) into 0 0.771 * [backup-simplify]: Simplify 0 into 0 0.772 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.774 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 4) 24)) (* (/ (pow -1 2) 2) (/ (pow 0 1) 1)) (* (/ (pow -1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 1/24 0.776 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 4) 24)) (* (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 1/24 0.777 * [backup-simplify]: Simplify (+ 1/24 1/24) into 1/12 0.777 * [backup-simplify]: Simplify 1/12 into 1/12 0.777 * [backup-simplify]: Simplify (+ (* 1/12 (pow im 4)) (+ (* 1 (pow im 2)) 2)) into (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2)) 0.777 * [backup-simplify]: Simplify (+ (exp (* -1 (/ 1 im))) (exp (/ 1 im))) into (+ (exp (/ -1 im)) (exp (/ 1 im))) 0.777 * [approximate]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in (im) around 0 0.777 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.777 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.777 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.777 * [taylor]: Taking taylor expansion of -1 in im 0.777 * [backup-simplify]: Simplify -1 into -1 0.777 * [taylor]: Taking taylor expansion of im in im 0.777 * [backup-simplify]: Simplify 0 into 0 0.777 * [backup-simplify]: Simplify 1 into 1 0.778 * [backup-simplify]: Simplify (/ -1 1) into -1 0.778 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) 0.778 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.778 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.778 * [taylor]: Taking taylor expansion of im in im 0.778 * [backup-simplify]: Simplify 0 into 0 0.778 * [backup-simplify]: Simplify 1 into 1 0.778 * [backup-simplify]: Simplify (/ 1 1) into 1 0.778 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 0.778 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.778 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.778 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.778 * [taylor]: Taking taylor expansion of -1 in im 0.778 * [backup-simplify]: Simplify -1 into -1 0.778 * [taylor]: Taking taylor expansion of im in im 0.778 * [backup-simplify]: Simplify 0 into 0 0.778 * [backup-simplify]: Simplify 1 into 1 0.778 * [backup-simplify]: Simplify (/ -1 1) into -1 0.778 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) 0.778 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.779 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.779 * [taylor]: Taking taylor expansion of im in im 0.779 * [backup-simplify]: Simplify 0 into 0 0.779 * [backup-simplify]: Simplify 1 into 1 0.779 * [backup-simplify]: Simplify (/ 1 1) into 1 0.779 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 0.779 * [backup-simplify]: Simplify (+ (exp (/ -1 im)) (exp (/ 1 im))) into (+ (exp (/ -1 im)) (exp (/ 1 im))) 0.779 * [backup-simplify]: Simplify (+ (exp (/ -1 im)) (exp (/ 1 im))) into (+ (exp (/ -1 im)) (exp (/ 1 im))) 0.779 * [backup-simplify]: Simplify (+ 0 0) into 0 0.779 * [backup-simplify]: Simplify 0 into 0 0.780 * [backup-simplify]: Simplify (+ 0 0) into 0 0.780 * [backup-simplify]: Simplify 0 into 0 0.780 * [backup-simplify]: Simplify (+ 0 0) into 0 0.780 * [backup-simplify]: Simplify 0 into 0 0.780 * [backup-simplify]: Simplify (+ 0 0) into 0 0.780 * [backup-simplify]: Simplify 0 into 0 0.780 * [backup-simplify]: Simplify (+ 0 0) into 0 0.780 * [backup-simplify]: Simplify 0 into 0 0.781 * [backup-simplify]: Simplify (+ 0 0) into 0 0.781 * [backup-simplify]: Simplify 0 into 0 0.781 * [backup-simplify]: Simplify (+ (exp (/ -1 (/ 1 im))) (exp (/ 1 (/ 1 im)))) into (+ (exp (* -1 im)) (exp im)) 0.781 * [backup-simplify]: Simplify (+ (exp (* -1 (/ 1 (- im)))) (exp (/ 1 (- im)))) into (+ (exp (/ -1 im)) (exp (/ 1 im))) 0.781 * [approximate]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in (im) around 0 0.781 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.781 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.781 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.781 * [taylor]: Taking taylor expansion of -1 in im 0.781 * [backup-simplify]: Simplify -1 into -1 0.781 * [taylor]: Taking taylor expansion of im in im 0.781 * [backup-simplify]: Simplify 0 into 0 0.781 * [backup-simplify]: Simplify 1 into 1 0.781 * [backup-simplify]: Simplify (/ -1 1) into -1 0.781 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) 0.781 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.781 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.781 * [taylor]: Taking taylor expansion of im in im 0.781 * [backup-simplify]: Simplify 0 into 0 0.781 * [backup-simplify]: Simplify 1 into 1 0.782 * [backup-simplify]: Simplify (/ 1 1) into 1 0.782 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 0.782 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.782 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.782 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.782 * [taylor]: Taking taylor expansion of -1 in im 0.782 * [backup-simplify]: Simplify -1 into -1 0.782 * [taylor]: Taking taylor expansion of im in im 0.782 * [backup-simplify]: Simplify 0 into 0 0.782 * [backup-simplify]: Simplify 1 into 1 0.782 * [backup-simplify]: Simplify (/ -1 1) into -1 0.782 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) 0.782 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.782 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.782 * [taylor]: Taking taylor expansion of im in im 0.782 * [backup-simplify]: Simplify 0 into 0 0.782 * [backup-simplify]: Simplify 1 into 1 0.783 * [backup-simplify]: Simplify (/ 1 1) into 1 0.783 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 0.783 * [backup-simplify]: Simplify (+ (exp (/ -1 im)) (exp (/ 1 im))) into (+ (exp (/ -1 im)) (exp (/ 1 im))) 0.783 * [backup-simplify]: Simplify (+ (exp (/ -1 im)) (exp (/ 1 im))) into (+ (exp (/ -1 im)) (exp (/ 1 im))) 0.783 * [backup-simplify]: Simplify (+ 0 0) into 0 0.783 * [backup-simplify]: Simplify 0 into 0 0.783 * [backup-simplify]: Simplify (+ 0 0) into 0 0.783 * [backup-simplify]: Simplify 0 into 0 0.784 * [backup-simplify]: Simplify (+ 0 0) into 0 0.784 * [backup-simplify]: Simplify 0 into 0 0.784 * [backup-simplify]: Simplify (+ 0 0) into 0 0.784 * [backup-simplify]: Simplify 0 into 0 0.784 * [backup-simplify]: Simplify (+ 0 0) into 0 0.784 * [backup-simplify]: Simplify 0 into 0 0.784 * [backup-simplify]: Simplify (+ 0 0) into 0 0.784 * [backup-simplify]: Simplify 0 into 0 0.785 * [backup-simplify]: Simplify (+ (exp (/ -1 (/ 1 (- im)))) (exp (/ 1 (/ 1 (- im))))) into (+ (exp (* -1 im)) (exp im)) 0.785 * * * [progress]: simplifying candidates 0.785 * [simplify]: Simplifying: (* (+ (exp (* -1 im)) (exp im)) (sin re)) (+ (log (+ (exp (* -1 im)) (exp im))) (log (sin re))) (log (* (+ (exp (* -1 im)) (exp im)) (sin re))) (exp (* (+ (exp (* -1 im)) (exp im)) (sin re))) (* (* (* (+ (exp (* -1 im)) (exp im)) (+ (exp (* -1 im)) (exp im))) (+ (exp (* -1 im)) (exp im))) (* (* (sin re) (sin re)) (sin re))) (* (cbrt (* (+ (exp (* -1 im)) (exp im)) (sin re))) (cbrt (* (+ (exp (* -1 im)) (exp im)) (sin re)))) (cbrt (* (+ (exp (* -1 im)) (exp im)) (sin re))) (* (* (* (+ (exp (* -1 im)) (exp im)) (sin re)) (* (+ (exp (* -1 im)) (exp im)) (sin re))) (* (+ (exp (* -1 im)) (exp im)) (sin re))) (sqrt (* (+ (exp (* -1 im)) (exp im)) (sin re))) (sqrt (* (+ (exp (* -1 im)) (exp im)) (sin re))) (* (sqrt (+ (exp (* -1 im)) (exp im))) (sqrt (sin re))) (* (sqrt (+ (exp (* -1 im)) (exp im))) (sqrt (sin re))) (* (+ (exp (* -1 im)) (exp im)) (* (cbrt (sin re)) (cbrt (sin re)))) (* (+ (exp (* -1 im)) (exp im)) (sqrt (sin re))) (* (+ (exp (* -1 im)) (exp im)) 1) (* (cbrt (+ (exp (* -1 im)) (exp im))) (sin re)) (* (sqrt (+ (exp (* -1 im)) (exp im))) (sin re)) (* (+ (exp (* -1 im)) (exp im)) (sin re)) (* (+ (exp (* -1 im)) (exp im)) (sin re)) (* (+ (pow (exp (* -1 im)) 3) (pow (exp im) 3)) (sin re)) (* (- (* (exp (* -1 im)) (exp (* -1 im))) (* (exp im) (exp im))) (sin re)) (* (exp (exp (* -1 im))) (exp (exp im))) (log (+ (exp (* -1 im)) (exp im))) (exp (+ (exp (* -1 im)) (exp im))) (* (cbrt (+ (exp (* -1 im)) (exp im))) (cbrt (+ (exp (* -1 im)) (exp im)))) (cbrt (+ (exp (* -1 im)) (exp im))) (* (* (+ (exp (* -1 im)) (exp im)) (+ (exp (* -1 im)) (exp im))) (+ (exp (* -1 im)) (exp im))) (sqrt (+ (exp (* -1 im)) (exp im))) (sqrt (+ (exp (* -1 im)) (exp im))) (+ (pow (exp (* -1 im)) 3) (pow (exp im) 3)) (+ (* (exp (* -1 im)) (exp (* -1 im))) (- (* (exp im) (exp im)) (* (exp (* -1 im)) (exp im)))) (- (* (exp (* -1 im)) (exp (* -1 im))) (* (exp im) (exp im))) (- (exp (* -1 im)) (exp im)) (+ (exp (* -1 im)) (exp im)) (- (+ (* 2 re) (* re (pow im 2))) (* 1/3 (pow re 3))) (* (+ (exp (* -1 im)) (exp im)) (sin re)) (* (+ (exp (* -1 im)) (exp im)) (sin re)) (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2)) (+ (exp (* -1 im)) (exp im)) (+ (exp (* -1 im)) (exp im)) 0.785 * [simplify]: Sending expressions to egg_math: (* (+ (exp (* -1 h1)) (exp h1)) (sin h0)) (+ (log (+ (exp (* -1 h1)) (exp h1))) (log (sin h0))) (log (* (+ (exp (* -1 h1)) (exp h1)) (sin h0))) (exp (* (+ (exp (* -1 h1)) (exp h1)) (sin h0))) (* (* (* (+ (exp (* -1 h1)) (exp h1)) (+ (exp (* -1 h1)) (exp h1))) (+ (exp (* -1 h1)) (exp h1))) (* (* (sin h0) (sin h0)) (sin h0))) (* (cbrt (* (+ (exp (* -1 h1)) (exp h1)) (sin h0))) (cbrt (* (+ (exp (* -1 h1)) (exp h1)) (sin h0)))) (cbrt (* (+ (exp (* -1 h1)) (exp h1)) (sin h0))) (* (* (* (+ (exp (* -1 h1)) (exp h1)) (sin h0)) (* (+ (exp (* -1 h1)) (exp h1)) (sin h0))) (* (+ (exp (* -1 h1)) (exp h1)) (sin h0))) (sqrt (* (+ (exp (* -1 h1)) (exp h1)) (sin h0))) (sqrt (* (+ (exp (* -1 h1)) (exp h1)) (sin h0))) (* (sqrt (+ (exp (* -1 h1)) (exp h1))) (sqrt (sin h0))) (* (sqrt (+ (exp (* -1 h1)) (exp h1))) (sqrt (sin h0))) (* (+ (exp (* -1 h1)) (exp h1)) (* (cbrt (sin h0)) (cbrt (sin h0)))) (* (+ (exp (* -1 h1)) (exp h1)) (sqrt (sin h0))) (* (+ (exp (* -1 h1)) (exp h1)) 1) (* (cbrt (+ (exp (* -1 h1)) (exp h1))) (sin h0)) (* (sqrt (+ (exp (* -1 h1)) (exp h1))) (sin h0)) (* (+ (exp (* -1 h1)) (exp h1)) (sin h0)) (* (+ (exp (* -1 h1)) (exp h1)) (sin h0)) (* (+ (pow (exp (* -1 h1)) 3) (pow (exp h1) 3)) (sin h0)) (* (- (* (exp (* -1 h1)) (exp (* -1 h1))) (* (exp h1) (exp h1))) (sin h0)) (* (exp (exp (* -1 h1))) (exp (exp h1))) (log (+ (exp (* -1 h1)) (exp h1))) (exp (+ (exp (* -1 h1)) (exp h1))) (* (cbrt (+ (exp (* -1 h1)) (exp h1))) (cbrt (+ (exp (* -1 h1)) (exp h1)))) (cbrt (+ (exp (* -1 h1)) (exp h1))) (* (* (+ (exp (* -1 h1)) (exp h1)) (+ (exp (* -1 h1)) (exp h1))) (+ (exp (* -1 h1)) (exp h1))) (sqrt (+ (exp (* -1 h1)) (exp h1))) (sqrt (+ (exp (* -1 h1)) (exp h1))) (+ (pow (exp (* -1 h1)) 3) (pow (exp h1) 3)) (+ (* (exp (* -1 h1)) (exp (* -1 h1))) (- (* (exp h1) (exp h1)) (* (exp (* -1 h1)) (exp h1)))) (- (* (exp (* -1 h1)) (exp (* -1 h1))) (* (exp h1) (exp h1))) (- (exp (* -1 h1)) (exp h1)) (+ (exp (* -1 h1)) (exp h1)) (- (+ (* 2 h0) (* h0 (pow h1 2))) (* 1/3 (pow h0 3))) (* (+ (exp (* -1 h1)) (exp h1)) (sin h0)) (* (+ (exp (* -1 h1)) (exp h1)) (sin h0)) (+ (* 1/12 (pow h1 4)) (+ (pow h1 2) 2)) (+ (exp (* -1 h1)) (exp h1)) (+ (exp (* -1 h1)) (exp h1)) 0.872 * * * [progress]: adding candidates to table 0.965 * * [progress]: iteration 3 / 4 0.966 * * * [progress]: picking best candidate 0.971 * * * * [pick]: Picked # 0.971 * * * [progress]: localizing error 0.989 * * * [progress]: generating rewritten candidates 0.989 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 1.008 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 1.024 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 1.104 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 1) 1.118 * * * [progress]: generating series expansions 1.118 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 1.118 * [backup-simplify]: Simplify (pow (+ (exp (* -1 im)) (exp im)) 3) into (pow (+ (exp (* -1 im)) (exp im)) 3) 1.118 * [approximate]: Taking taylor expansion of (pow (+ (exp (* -1 im)) (exp im)) 3) in (im) around 0 1.118 * [taylor]: Taking taylor expansion of (pow (+ (exp (* -1 im)) (exp im)) 3) in im 1.119 * [taylor]: Taking taylor expansion of (+ (exp (* -1 im)) (exp im)) in im 1.119 * [taylor]: Taking taylor expansion of (exp (* -1 im)) in im 1.119 * [taylor]: Taking taylor expansion of (* -1 im) in im 1.119 * [taylor]: Taking taylor expansion of -1 in im 1.119 * [backup-simplify]: Simplify -1 into -1 1.119 * [taylor]: Taking taylor expansion of im in im 1.119 * [backup-simplify]: Simplify 0 into 0 1.119 * [backup-simplify]: Simplify 1 into 1 1.119 * [backup-simplify]: Simplify (* -1 0) into 0 1.120 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 0)) into -1 1.120 * [backup-simplify]: Simplify (exp 0) into 1 1.120 * [taylor]: Taking taylor expansion of (exp im) in im 1.120 * [taylor]: Taking taylor expansion of im in im 1.120 * [backup-simplify]: Simplify 0 into 0 1.120 * [backup-simplify]: Simplify 1 into 1 1.120 * [backup-simplify]: Simplify (exp 0) into 1 1.120 * [backup-simplify]: Simplify (+ 1 1) into 2 1.120 * [taylor]: Taking taylor expansion of (pow (+ (exp (* -1 im)) (exp im)) 3) in im 1.120 * [taylor]: Taking taylor expansion of (+ (exp (* -1 im)) (exp im)) in im 1.120 * [taylor]: Taking taylor expansion of (exp (* -1 im)) in im 1.120 * [taylor]: Taking taylor expansion of (* -1 im) in im 1.120 * [taylor]: Taking taylor expansion of -1 in im 1.120 * [backup-simplify]: Simplify -1 into -1 1.120 * [taylor]: Taking taylor expansion of im in im 1.120 * [backup-simplify]: Simplify 0 into 0 1.120 * [backup-simplify]: Simplify 1 into 1 1.120 * [backup-simplify]: Simplify (* -1 0) into 0 1.121 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 0)) into -1 1.121 * [backup-simplify]: Simplify (exp 0) into 1 1.121 * [taylor]: Taking taylor expansion of (exp im) in im 1.121 * [taylor]: Taking taylor expansion of im in im 1.121 * [backup-simplify]: Simplify 0 into 0 1.121 * [backup-simplify]: Simplify 1 into 1 1.121 * [backup-simplify]: Simplify (exp 0) into 1 1.121 * [backup-simplify]: Simplify (+ 1 1) into 2 1.122 * [backup-simplify]: Simplify (* 2 2) into 4 1.122 * [backup-simplify]: Simplify (* 2 4) into 8 1.122 * [backup-simplify]: Simplify 8 into 8 1.123 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1 1.124 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 1.124 * [backup-simplify]: Simplify (+ -1 1) into 0 1.124 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 2)) into 0 1.125 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 4)) into 0 1.125 * [backup-simplify]: Simplify 0 into 0 1.125 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 0))) into 0 1.126 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 1.127 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 1.127 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 1.128 * [backup-simplify]: Simplify (+ (* 2 1) (+ (* 0 0) (* 1 2))) into 4 1.129 * [backup-simplify]: Simplify (+ (* 2 4) (+ (* 0 0) (* 1 4))) into 12 1.129 * [backup-simplify]: Simplify 12 into 12 1.129 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.131 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 3) 6)) (* (/ (pow -1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into -1/6 1.132 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 1/6 1.132 * [backup-simplify]: Simplify (+ -1/6 1/6) into 0 1.133 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (+ (* 1 0) (* 0 2)))) into 0 1.134 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 4) (+ (* 1 0) (* 0 4)))) into 0 1.134 * [backup-simplify]: Simplify 0 into 0 1.135 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1.137 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 4) 24)) (* (/ (pow -1 2) 2) (/ (pow 0 1) 1)) (* (/ (pow -1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 1/24 1.139 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 4) 24)) (* (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 1/24 1.140 * [backup-simplify]: Simplify (+ 1/24 1/24) into 1/12 1.140 * [backup-simplify]: Simplify (+ (* 2 1/12) (+ (* 0 0) (+ (* 1 1) (+ (* 0 0) (* 1/12 2))))) into 4/3 1.141 * [backup-simplify]: Simplify (+ (* 2 4/3) (+ (* 0 0) (+ (* 1 4) (+ (* 0 0) (* 1/12 4))))) into 7 1.142 * [backup-simplify]: Simplify 7 into 7 1.142 * [backup-simplify]: Simplify (+ (* 7 (pow im 4)) (+ (* 12 (pow im 2)) 8)) into (+ (* 7 (pow im 4)) (+ (* 12 (pow im 2)) 8)) 1.142 * [backup-simplify]: Simplify (pow (+ (exp (* -1 (/ 1 im))) (exp (/ 1 im))) 3) into (pow (+ (exp (/ -1 im)) (exp (/ 1 im))) 3) 1.142 * [approximate]: Taking taylor expansion of (pow (+ (exp (/ -1 im)) (exp (/ 1 im))) 3) in (im) around 0 1.142 * [taylor]: Taking taylor expansion of (pow (+ (exp (/ -1 im)) (exp (/ 1 im))) 3) in im 1.142 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 1.142 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.142 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.142 * [taylor]: Taking taylor expansion of -1 in im 1.142 * [backup-simplify]: Simplify -1 into -1 1.142 * [taylor]: Taking taylor expansion of im in im 1.142 * [backup-simplify]: Simplify 0 into 0 1.142 * [backup-simplify]: Simplify 1 into 1 1.142 * [backup-simplify]: Simplify (/ -1 1) into -1 1.143 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) 1.143 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.143 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.143 * [taylor]: Taking taylor expansion of im in im 1.143 * [backup-simplify]: Simplify 0 into 0 1.143 * [backup-simplify]: Simplify 1 into 1 1.143 * [backup-simplify]: Simplify (/ 1 1) into 1 1.143 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 1.143 * [backup-simplify]: Simplify (+ (exp (/ -1 im)) (exp (/ 1 im))) into (+ (exp (/ -1 im)) (exp (/ 1 im))) 1.143 * [taylor]: Taking taylor expansion of (pow (+ (exp (/ -1 im)) (exp (/ 1 im))) 3) in im 1.143 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 1.143 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.143 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.143 * [taylor]: Taking taylor expansion of -1 in im 1.143 * [backup-simplify]: Simplify -1 into -1 1.143 * [taylor]: Taking taylor expansion of im in im 1.143 * [backup-simplify]: Simplify 0 into 0 1.143 * [backup-simplify]: Simplify 1 into 1 1.143 * [backup-simplify]: Simplify (/ -1 1) into -1 1.143 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) 1.144 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.144 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.144 * [taylor]: Taking taylor expansion of im in im 1.144 * [backup-simplify]: Simplify 0 into 0 1.144 * [backup-simplify]: Simplify 1 into 1 1.144 * [backup-simplify]: Simplify (/ 1 1) into 1 1.144 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 1.144 * [backup-simplify]: Simplify (+ (exp (/ -1 im)) (exp (/ 1 im))) into (+ (exp (/ -1 im)) (exp (/ 1 im))) 1.144 * [backup-simplify]: Simplify (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (+ (exp (/ -1 im)) (exp (/ 1 im)))) into (pow (+ (exp (/ -1 im)) (exp (/ 1 im))) 2) 1.144 * [backup-simplify]: Simplify (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (pow (+ (exp (/ -1 im)) (exp (/ 1 im))) 2)) into (pow (+ (exp (/ -1 im)) (exp (/ 1 im))) 3) 1.145 * [backup-simplify]: Simplify (pow (+ (exp (/ -1 im)) (exp (/ 1 im))) 3) into (pow (+ (exp (/ -1 im)) (exp (/ 1 im))) 3) 1.145 * [backup-simplify]: Simplify (+ 0 0) into 0 1.145 * [backup-simplify]: Simplify (+ (* (+ (exp (/ -1 im)) (exp (/ 1 im))) 0) (* 0 (+ (exp (/ -1 im)) (exp (/ 1 im))))) into 0 1.145 * [backup-simplify]: Simplify (+ (* (+ (exp (/ -1 im)) (exp (/ 1 im))) 0) (* 0 (pow (+ (exp (/ -1 im)) (exp (/ 1 im))) 2))) into 0 1.145 * [backup-simplify]: Simplify 0 into 0 1.146 * [backup-simplify]: Simplify (+ 0 0) into 0 1.146 * [backup-simplify]: Simplify (+ (* (+ (exp (/ -1 im)) (exp (/ 1 im))) 0) (+ (* 0 0) (* 0 (+ (exp (/ -1 im)) (exp (/ 1 im)))))) into 0 1.146 * [backup-simplify]: Simplify (+ (* (+ (exp (/ -1 im)) (exp (/ 1 im))) 0) (+ (* 0 0) (* 0 (pow (+ (exp (/ -1 im)) (exp (/ 1 im))) 2)))) into 0 1.146 * [backup-simplify]: Simplify 0 into 0 1.147 * [backup-simplify]: Simplify (+ 0 0) into 0 1.147 * [backup-simplify]: Simplify (+ (* (+ (exp (/ -1 im)) (exp (/ 1 im))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (exp (/ -1 im)) (exp (/ 1 im))))))) into 0 1.148 * [backup-simplify]: Simplify (+ (* (+ (exp (/ -1 im)) (exp (/ 1 im))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (+ (exp (/ -1 im)) (exp (/ 1 im))) 2))))) into 0 1.148 * [backup-simplify]: Simplify 0 into 0 1.148 * [backup-simplify]: Simplify (+ 0 0) into 0 1.149 * [backup-simplify]: Simplify (+ (* (+ (exp (/ -1 im)) (exp (/ 1 im))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (exp (/ -1 im)) (exp (/ 1 im)))))))) into 0 1.150 * [backup-simplify]: Simplify (+ (* (+ (exp (/ -1 im)) (exp (/ 1 im))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (+ (exp (/ -1 im)) (exp (/ 1 im))) 2)))))) into 0 1.150 * [backup-simplify]: Simplify 0 into 0 1.150 * [backup-simplify]: Simplify (+ 0 0) into 0 1.151 * [backup-simplify]: Simplify (+ (* (+ (exp (/ -1 im)) (exp (/ 1 im))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (exp (/ -1 im)) (exp (/ 1 im))))))))) into 0 1.153 * [backup-simplify]: Simplify (+ (* (+ (exp (/ -1 im)) (exp (/ 1 im))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (+ (exp (/ -1 im)) (exp (/ 1 im))) 2))))))) into 0 1.153 * [backup-simplify]: Simplify 0 into 0 1.153 * [backup-simplify]: Simplify (+ 0 0) into 0 1.154 * [backup-simplify]: Simplify (+ (* (+ (exp (/ -1 im)) (exp (/ 1 im))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (exp (/ -1 im)) (exp (/ 1 im)))))))))) into 0 1.155 * [backup-simplify]: Simplify (+ (* (+ (exp (/ -1 im)) (exp (/ 1 im))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (+ (exp (/ -1 im)) (exp (/ 1 im))) 2)))))))) into 0 1.155 * [backup-simplify]: Simplify 0 into 0 1.156 * [backup-simplify]: Simplify (pow (+ (exp (/ -1 (/ 1 im))) (exp (/ 1 (/ 1 im)))) 3) into (pow (+ (exp (* -1 im)) (exp im)) 3) 1.156 * [backup-simplify]: Simplify (pow (+ (exp (* -1 (/ 1 (- im)))) (exp (/ 1 (- im)))) 3) into (pow (+ (exp (/ -1 im)) (exp (/ 1 im))) 3) 1.156 * [approximate]: Taking taylor expansion of (pow (+ (exp (/ -1 im)) (exp (/ 1 im))) 3) in (im) around 0 1.156 * [taylor]: Taking taylor expansion of (pow (+ (exp (/ -1 im)) (exp (/ 1 im))) 3) in im 1.156 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 1.156 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.156 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.156 * [taylor]: Taking taylor expansion of -1 in im 1.156 * [backup-simplify]: Simplify -1 into -1 1.156 * [taylor]: Taking taylor expansion of im in im 1.156 * [backup-simplify]: Simplify 0 into 0 1.156 * [backup-simplify]: Simplify 1 into 1 1.156 * [backup-simplify]: Simplify (/ -1 1) into -1 1.156 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) 1.156 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.156 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.156 * [taylor]: Taking taylor expansion of im in im 1.156 * [backup-simplify]: Simplify 0 into 0 1.156 * [backup-simplify]: Simplify 1 into 1 1.157 * [backup-simplify]: Simplify (/ 1 1) into 1 1.157 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 1.157 * [backup-simplify]: Simplify (+ (exp (/ -1 im)) (exp (/ 1 im))) into (+ (exp (/ -1 im)) (exp (/ 1 im))) 1.157 * [taylor]: Taking taylor expansion of (pow (+ (exp (/ -1 im)) (exp (/ 1 im))) 3) in im 1.157 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 1.157 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.157 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.157 * [taylor]: Taking taylor expansion of -1 in im 1.157 * [backup-simplify]: Simplify -1 into -1 1.157 * [taylor]: Taking taylor expansion of im in im 1.157 * [backup-simplify]: Simplify 0 into 0 1.157 * [backup-simplify]: Simplify 1 into 1 1.157 * [backup-simplify]: Simplify (/ -1 1) into -1 1.157 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) 1.157 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.157 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.157 * [taylor]: Taking taylor expansion of im in im 1.157 * [backup-simplify]: Simplify 0 into 0 1.157 * [backup-simplify]: Simplify 1 into 1 1.158 * [backup-simplify]: Simplify (/ 1 1) into 1 1.158 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 1.158 * [backup-simplify]: Simplify (+ (exp (/ -1 im)) (exp (/ 1 im))) into (+ (exp (/ -1 im)) (exp (/ 1 im))) 1.158 * [backup-simplify]: Simplify (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (+ (exp (/ -1 im)) (exp (/ 1 im)))) into (pow (+ (exp (/ -1 im)) (exp (/ 1 im))) 2) 1.158 * [backup-simplify]: Simplify (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (pow (+ (exp (/ -1 im)) (exp (/ 1 im))) 2)) into (pow (+ (exp (/ -1 im)) (exp (/ 1 im))) 3) 1.158 * [backup-simplify]: Simplify (pow (+ (exp (/ -1 im)) (exp (/ 1 im))) 3) into (pow (+ (exp (/ -1 im)) (exp (/ 1 im))) 3) 1.159 * [backup-simplify]: Simplify (+ 0 0) into 0 1.159 * [backup-simplify]: Simplify (+ (* (+ (exp (/ -1 im)) (exp (/ 1 im))) 0) (* 0 (+ (exp (/ -1 im)) (exp (/ 1 im))))) into 0 1.159 * [backup-simplify]: Simplify (+ (* (+ (exp (/ -1 im)) (exp (/ 1 im))) 0) (* 0 (pow (+ (exp (/ -1 im)) (exp (/ 1 im))) 2))) into 0 1.159 * [backup-simplify]: Simplify 0 into 0 1.159 * [backup-simplify]: Simplify (+ 0 0) into 0 1.160 * [backup-simplify]: Simplify (+ (* (+ (exp (/ -1 im)) (exp (/ 1 im))) 0) (+ (* 0 0) (* 0 (+ (exp (/ -1 im)) (exp (/ 1 im)))))) into 0 1.160 * [backup-simplify]: Simplify (+ (* (+ (exp (/ -1 im)) (exp (/ 1 im))) 0) (+ (* 0 0) (* 0 (pow (+ (exp (/ -1 im)) (exp (/ 1 im))) 2)))) into 0 1.160 * [backup-simplify]: Simplify 0 into 0 1.160 * [backup-simplify]: Simplify (+ 0 0) into 0 1.161 * [backup-simplify]: Simplify (+ (* (+ (exp (/ -1 im)) (exp (/ 1 im))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (exp (/ -1 im)) (exp (/ 1 im))))))) into 0 1.162 * [backup-simplify]: Simplify (+ (* (+ (exp (/ -1 im)) (exp (/ 1 im))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (+ (exp (/ -1 im)) (exp (/ 1 im))) 2))))) into 0 1.162 * [backup-simplify]: Simplify 0 into 0 1.162 * [backup-simplify]: Simplify (+ 0 0) into 0 1.163 * [backup-simplify]: Simplify (+ (* (+ (exp (/ -1 im)) (exp (/ 1 im))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (exp (/ -1 im)) (exp (/ 1 im)))))))) into 0 1.164 * [backup-simplify]: Simplify (+ (* (+ (exp (/ -1 im)) (exp (/ 1 im))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (+ (exp (/ -1 im)) (exp (/ 1 im))) 2)))))) into 0 1.164 * [backup-simplify]: Simplify 0 into 0 1.164 * [backup-simplify]: Simplify (+ 0 0) into 0 1.165 * [backup-simplify]: Simplify (+ (* (+ (exp (/ -1 im)) (exp (/ 1 im))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (exp (/ -1 im)) (exp (/ 1 im))))))))) into 0 1.166 * [backup-simplify]: Simplify (+ (* (+ (exp (/ -1 im)) (exp (/ 1 im))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (+ (exp (/ -1 im)) (exp (/ 1 im))) 2))))))) into 0 1.166 * [backup-simplify]: Simplify 0 into 0 1.167 * [backup-simplify]: Simplify (+ 0 0) into 0 1.168 * [backup-simplify]: Simplify (+ (* (+ (exp (/ -1 im)) (exp (/ 1 im))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (exp (/ -1 im)) (exp (/ 1 im)))))))))) into 0 1.169 * [backup-simplify]: Simplify (+ (* (+ (exp (/ -1 im)) (exp (/ 1 im))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (+ (exp (/ -1 im)) (exp (/ 1 im))) 2)))))))) into 0 1.169 * [backup-simplify]: Simplify 0 into 0 1.169 * [backup-simplify]: Simplify (pow (+ (exp (/ -1 (/ 1 (- im)))) (exp (/ 1 (/ 1 (- im))))) 3) into (pow (+ (exp (* -1 im)) (exp im)) 3) 1.169 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 1.170 * [backup-simplify]: Simplify (cbrt (pow (+ (exp (* -1 im)) (exp im)) 3)) into (+ (exp (* -1 im)) (exp im)) 1.170 * [approximate]: Taking taylor expansion of (+ (exp (* -1 im)) (exp im)) in (im) around 0 1.170 * [taylor]: Taking taylor expansion of (+ (exp (* -1 im)) (exp im)) in im 1.170 * [taylor]: Taking taylor expansion of (exp (* -1 im)) in im 1.170 * [taylor]: Taking taylor expansion of (* -1 im) in im 1.170 * [taylor]: Taking taylor expansion of -1 in im 1.170 * [backup-simplify]: Simplify -1 into -1 1.170 * [taylor]: Taking taylor expansion of im in im 1.170 * [backup-simplify]: Simplify 0 into 0 1.170 * [backup-simplify]: Simplify 1 into 1 1.170 * [backup-simplify]: Simplify (* -1 0) into 0 1.170 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 0)) into -1 1.170 * [backup-simplify]: Simplify (exp 0) into 1 1.170 * [taylor]: Taking taylor expansion of (exp im) in im 1.170 * [taylor]: Taking taylor expansion of im in im 1.170 * [backup-simplify]: Simplify 0 into 0 1.170 * [backup-simplify]: Simplify 1 into 1 1.170 * [backup-simplify]: Simplify (exp 0) into 1 1.171 * [taylor]: Taking taylor expansion of (+ (exp (* -1 im)) (exp im)) in im 1.171 * [taylor]: Taking taylor expansion of (exp (* -1 im)) in im 1.171 * [taylor]: Taking taylor expansion of (* -1 im) in im 1.171 * [taylor]: Taking taylor expansion of -1 in im 1.171 * [backup-simplify]: Simplify -1 into -1 1.171 * [taylor]: Taking taylor expansion of im in im 1.171 * [backup-simplify]: Simplify 0 into 0 1.171 * [backup-simplify]: Simplify 1 into 1 1.171 * [backup-simplify]: Simplify (* -1 0) into 0 1.171 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 0)) into -1 1.171 * [backup-simplify]: Simplify (exp 0) into 1 1.171 * [taylor]: Taking taylor expansion of (exp im) in im 1.171 * [taylor]: Taking taylor expansion of im in im 1.171 * [backup-simplify]: Simplify 0 into 0 1.171 * [backup-simplify]: Simplify 1 into 1 1.171 * [backup-simplify]: Simplify (exp 0) into 1 1.172 * [backup-simplify]: Simplify (+ 1 1) into 2 1.172 * [backup-simplify]: Simplify 2 into 2 1.173 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1 1.173 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 1.173 * [backup-simplify]: Simplify (+ -1 1) into 0 1.174 * [backup-simplify]: Simplify 0 into 0 1.174 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 0))) into 0 1.175 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 1.176 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 1.176 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 1.176 * [backup-simplify]: Simplify 1 into 1 1.177 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.178 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 3) 6)) (* (/ (pow -1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into -1/6 1.180 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 1/6 1.180 * [backup-simplify]: Simplify (+ -1/6 1/6) into 0 1.180 * [backup-simplify]: Simplify 0 into 0 1.181 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1.186 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 4) 24)) (* (/ (pow -1 2) 2) (/ (pow 0 1) 1)) (* (/ (pow -1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 1/24 1.188 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 4) 24)) (* (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 1/24 1.188 * [backup-simplify]: Simplify (+ 1/24 1/24) into 1/12 1.188 * [backup-simplify]: Simplify 1/12 into 1/12 1.189 * [backup-simplify]: Simplify (+ (* 1/12 (pow im 4)) (+ (* 1 (pow im 2)) 2)) into (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2)) 1.189 * [backup-simplify]: Simplify (cbrt (pow (+ (exp (* -1 (/ 1 im))) (exp (/ 1 im))) 3)) into (+ (exp (/ -1 im)) (exp (/ 1 im))) 1.189 * [approximate]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in (im) around 0 1.189 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 1.189 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.189 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.189 * [taylor]: Taking taylor expansion of -1 in im 1.189 * [backup-simplify]: Simplify -1 into -1 1.189 * [taylor]: Taking taylor expansion of im in im 1.189 * [backup-simplify]: Simplify 0 into 0 1.189 * [backup-simplify]: Simplify 1 into 1 1.189 * [backup-simplify]: Simplify (/ -1 1) into -1 1.189 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) 1.189 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.189 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.189 * [taylor]: Taking taylor expansion of im in im 1.189 * [backup-simplify]: Simplify 0 into 0 1.189 * [backup-simplify]: Simplify 1 into 1 1.190 * [backup-simplify]: Simplify (/ 1 1) into 1 1.190 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 1.190 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 1.190 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.190 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.190 * [taylor]: Taking taylor expansion of -1 in im 1.190 * [backup-simplify]: Simplify -1 into -1 1.190 * [taylor]: Taking taylor expansion of im in im 1.190 * [backup-simplify]: Simplify 0 into 0 1.190 * [backup-simplify]: Simplify 1 into 1 1.190 * [backup-simplify]: Simplify (/ -1 1) into -1 1.190 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) 1.190 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.190 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.190 * [taylor]: Taking taylor expansion of im in im 1.190 * [backup-simplify]: Simplify 0 into 0 1.190 * [backup-simplify]: Simplify 1 into 1 1.191 * [backup-simplify]: Simplify (/ 1 1) into 1 1.191 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 1.191 * [backup-simplify]: Simplify (+ (exp (/ -1 im)) (exp (/ 1 im))) into (+ (exp (/ -1 im)) (exp (/ 1 im))) 1.191 * [backup-simplify]: Simplify (+ (exp (/ -1 im)) (exp (/ 1 im))) into (+ (exp (/ -1 im)) (exp (/ 1 im))) 1.191 * [backup-simplify]: Simplify (+ 0 0) into 0 1.191 * [backup-simplify]: Simplify 0 into 0 1.191 * [backup-simplify]: Simplify (+ 0 0) into 0 1.191 * [backup-simplify]: Simplify 0 into 0 1.192 * [backup-simplify]: Simplify (+ 0 0) into 0 1.192 * [backup-simplify]: Simplify 0 into 0 1.192 * [backup-simplify]: Simplify (+ 0 0) into 0 1.192 * [backup-simplify]: Simplify 0 into 0 1.192 * [backup-simplify]: Simplify (+ 0 0) into 0 1.192 * [backup-simplify]: Simplify 0 into 0 1.192 * [backup-simplify]: Simplify (+ 0 0) into 0 1.192 * [backup-simplify]: Simplify 0 into 0 1.193 * [backup-simplify]: Simplify (+ (exp (/ -1 (/ 1 im))) (exp (/ 1 (/ 1 im)))) into (+ (exp (* -1 im)) (exp im)) 1.193 * [backup-simplify]: Simplify (cbrt (pow (+ (exp (* -1 (/ 1 (- im)))) (exp (/ 1 (- im)))) 3)) into (+ (exp (/ -1 im)) (exp (/ 1 im))) 1.193 * [approximate]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in (im) around 0 1.193 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 1.193 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.193 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.193 * [taylor]: Taking taylor expansion of -1 in im 1.193 * [backup-simplify]: Simplify -1 into -1 1.193 * [taylor]: Taking taylor expansion of im in im 1.193 * [backup-simplify]: Simplify 0 into 0 1.193 * [backup-simplify]: Simplify 1 into 1 1.193 * [backup-simplify]: Simplify (/ -1 1) into -1 1.193 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) 1.193 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.193 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.193 * [taylor]: Taking taylor expansion of im in im 1.193 * [backup-simplify]: Simplify 0 into 0 1.193 * [backup-simplify]: Simplify 1 into 1 1.194 * [backup-simplify]: Simplify (/ 1 1) into 1 1.194 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 1.194 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 1.194 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.194 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.194 * [taylor]: Taking taylor expansion of -1 in im 1.194 * [backup-simplify]: Simplify -1 into -1 1.194 * [taylor]: Taking taylor expansion of im in im 1.194 * [backup-simplify]: Simplify 0 into 0 1.194 * [backup-simplify]: Simplify 1 into 1 1.194 * [backup-simplify]: Simplify (/ -1 1) into -1 1.194 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) 1.194 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.194 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.194 * [taylor]: Taking taylor expansion of im in im 1.194 * [backup-simplify]: Simplify 0 into 0 1.194 * [backup-simplify]: Simplify 1 into 1 1.194 * [backup-simplify]: Simplify (/ 1 1) into 1 1.194 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 1.195 * [backup-simplify]: Simplify (+ (exp (/ -1 im)) (exp (/ 1 im))) into (+ (exp (/ -1 im)) (exp (/ 1 im))) 1.195 * [backup-simplify]: Simplify (+ (exp (/ -1 im)) (exp (/ 1 im))) into (+ (exp (/ -1 im)) (exp (/ 1 im))) 1.195 * [backup-simplify]: Simplify (+ 0 0) into 0 1.195 * [backup-simplify]: Simplify 0 into 0 1.195 * [backup-simplify]: Simplify (+ 0 0) into 0 1.195 * [backup-simplify]: Simplify 0 into 0 1.195 * [backup-simplify]: Simplify (+ 0 0) into 0 1.195 * [backup-simplify]: Simplify 0 into 0 1.196 * [backup-simplify]: Simplify (+ 0 0) into 0 1.196 * [backup-simplify]: Simplify 0 into 0 1.196 * [backup-simplify]: Simplify (+ 0 0) into 0 1.196 * [backup-simplify]: Simplify 0 into 0 1.196 * [backup-simplify]: Simplify (+ 0 0) into 0 1.196 * [backup-simplify]: Simplify 0 into 0 1.196 * [backup-simplify]: Simplify (+ (exp (/ -1 (/ 1 (- im)))) (exp (/ 1 (/ 1 (- im))))) into (+ (exp (* -1 im)) (exp im)) 1.196 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 1.197 * [backup-simplify]: Simplify (* (cbrt (pow (+ (exp (* -1 im)) (exp im)) 3)) (sin re)) into (* (+ (exp (* -1 im)) (exp im)) (sin re)) 1.197 * [approximate]: Taking taylor expansion of (* (+ (exp (* -1 im)) (exp im)) (sin re)) in (im re) around 0 1.197 * [taylor]: Taking taylor expansion of (* (+ (exp (* -1 im)) (exp im)) (sin re)) in re 1.197 * [taylor]: Taking taylor expansion of (+ (exp (* -1 im)) (exp im)) in re 1.197 * [taylor]: Taking taylor expansion of (exp (* -1 im)) in re 1.197 * [taylor]: Taking taylor expansion of (* -1 im) in re 1.197 * [taylor]: Taking taylor expansion of -1 in re 1.197 * [backup-simplify]: Simplify -1 into -1 1.197 * [taylor]: Taking taylor expansion of im in re 1.197 * [backup-simplify]: Simplify im into im 1.197 * [backup-simplify]: Simplify (* -1 im) into (* -1 im) 1.197 * [backup-simplify]: Simplify (exp (* -1 im)) into (exp (* -1 im)) 1.197 * [taylor]: Taking taylor expansion of (exp im) in re 1.197 * [taylor]: Taking taylor expansion of im in re 1.197 * [backup-simplify]: Simplify im into im 1.197 * [backup-simplify]: Simplify (exp im) into (exp im) 1.197 * [taylor]: Taking taylor expansion of (sin re) in re 1.197 * [taylor]: Taking taylor expansion of re in re 1.197 * [backup-simplify]: Simplify 0 into 0 1.197 * [backup-simplify]: Simplify 1 into 1 1.197 * [taylor]: Taking taylor expansion of (* (+ (exp (* -1 im)) (exp im)) (sin re)) in im 1.197 * [taylor]: Taking taylor expansion of (+ (exp (* -1 im)) (exp im)) in im 1.197 * [taylor]: Taking taylor expansion of (exp (* -1 im)) in im 1.197 * [taylor]: Taking taylor expansion of (* -1 im) in im 1.197 * [taylor]: Taking taylor expansion of -1 in im 1.197 * [backup-simplify]: Simplify -1 into -1 1.197 * [taylor]: Taking taylor expansion of im in im 1.197 * [backup-simplify]: Simplify 0 into 0 1.197 * [backup-simplify]: Simplify 1 into 1 1.197 * [backup-simplify]: Simplify (* -1 0) into 0 1.198 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 0)) into -1 1.198 * [backup-simplify]: Simplify (exp 0) into 1 1.198 * [taylor]: Taking taylor expansion of (exp im) in im 1.198 * [taylor]: Taking taylor expansion of im in im 1.198 * [backup-simplify]: Simplify 0 into 0 1.198 * [backup-simplify]: Simplify 1 into 1 1.198 * [backup-simplify]: Simplify (exp 0) into 1 1.198 * [taylor]: Taking taylor expansion of (sin re) in im 1.198 * [taylor]: Taking taylor expansion of re in im 1.198 * [backup-simplify]: Simplify re into re 1.198 * [backup-simplify]: Simplify (sin re) into (sin re) 1.198 * [backup-simplify]: Simplify (cos re) into (cos re) 1.198 * [taylor]: Taking taylor expansion of (* (+ (exp (* -1 im)) (exp im)) (sin re)) in im 1.198 * [taylor]: Taking taylor expansion of (+ (exp (* -1 im)) (exp im)) in im 1.198 * [taylor]: Taking taylor expansion of (exp (* -1 im)) in im 1.198 * [taylor]: Taking taylor expansion of (* -1 im) in im 1.198 * [taylor]: Taking taylor expansion of -1 in im 1.198 * [backup-simplify]: Simplify -1 into -1 1.198 * [taylor]: Taking taylor expansion of im in im 1.198 * [backup-simplify]: Simplify 0 into 0 1.198 * [backup-simplify]: Simplify 1 into 1 1.199 * [backup-simplify]: Simplify (* -1 0) into 0 1.199 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 0)) into -1 1.199 * [backup-simplify]: Simplify (exp 0) into 1 1.199 * [taylor]: Taking taylor expansion of (exp im) in im 1.199 * [taylor]: Taking taylor expansion of im in im 1.199 * [backup-simplify]: Simplify 0 into 0 1.199 * [backup-simplify]: Simplify 1 into 1 1.199 * [backup-simplify]: Simplify (exp 0) into 1 1.199 * [taylor]: Taking taylor expansion of (sin re) in im 1.199 * [taylor]: Taking taylor expansion of re in im 1.199 * [backup-simplify]: Simplify re into re 1.199 * [backup-simplify]: Simplify (sin re) into (sin re) 1.199 * [backup-simplify]: Simplify (cos re) into (cos re) 1.199 * [backup-simplify]: Simplify (+ 1 1) into 2 1.200 * [backup-simplify]: Simplify (* (sin re) 1) into (sin re) 1.200 * [backup-simplify]: Simplify (* (cos re) 0) into 0 1.200 * [backup-simplify]: Simplify (+ (sin re) 0) into (sin re) 1.200 * [backup-simplify]: Simplify (* 2 (sin re)) into (* 2 (sin re)) 1.200 * [taylor]: Taking taylor expansion of (* 2 (sin re)) in re 1.200 * [taylor]: Taking taylor expansion of 2 in re 1.200 * [backup-simplify]: Simplify 2 into 2 1.200 * [taylor]: Taking taylor expansion of (sin re) in re 1.200 * [taylor]: Taking taylor expansion of re in re 1.200 * [backup-simplify]: Simplify 0 into 0 1.200 * [backup-simplify]: Simplify 1 into 1 1.200 * [backup-simplify]: Simplify (* 2 0) into 0 1.200 * [backup-simplify]: Simplify 0 into 0 1.200 * [backup-simplify]: Simplify (+ 0) into 0 1.201 * [backup-simplify]: Simplify (+ (* (sin re) 0) (* 0 1)) into 0 1.201 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.201 * [backup-simplify]: Simplify (+ (* (cos re) 0) (* 0 0)) into 0 1.202 * [backup-simplify]: Simplify (+ 0 0) into 0 1.202 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1 1.203 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 1.203 * [backup-simplify]: Simplify (+ -1 1) into 0 1.203 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (sin re))) into 0 1.203 * [taylor]: Taking taylor expansion of 0 in re 1.203 * [backup-simplify]: Simplify 0 into 0 1.204 * [backup-simplify]: Simplify 0 into 0 1.204 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 1.204 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 1.204 * [backup-simplify]: Simplify 2 into 2 1.205 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.205 * [backup-simplify]: Simplify (+ (* (sin re) 0) (+ (* 0 0) (* 0 1))) into 0 1.206 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.206 * [backup-simplify]: Simplify (+ (* (cos re) 0) (+ (* 0 0) (* 0 0))) into 0 1.206 * [backup-simplify]: Simplify (+ 0 0) into 0 1.207 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 0))) into 0 1.208 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 1.209 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 1.209 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 1.210 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 1 (sin re)))) into (sin re) 1.210 * [taylor]: Taking taylor expansion of (sin re) in re 1.210 * [taylor]: Taking taylor expansion of re in re 1.210 * [backup-simplify]: Simplify 0 into 0 1.210 * [backup-simplify]: Simplify 1 into 1 1.210 * [backup-simplify]: Simplify 0 into 0 1.210 * [backup-simplify]: Simplify 0 into 0 1.210 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.211 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1.211 * [backup-simplify]: Simplify 0 into 0 1.211 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.212 * [backup-simplify]: Simplify (+ (* (sin re) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.213 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.213 * [backup-simplify]: Simplify (+ (* (cos re) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.214 * [backup-simplify]: Simplify (+ 0 0) into 0 1.214 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.216 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 3) 6)) (* (/ (pow -1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into -1/6 1.217 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 1/6 1.217 * [backup-simplify]: Simplify (+ -1/6 1/6) into 0 1.218 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 1 0) (* 0 (sin re))))) into 0 1.218 * [taylor]: Taking taylor expansion of 0 in re 1.218 * [backup-simplify]: Simplify 0 into 0 1.218 * [backup-simplify]: Simplify 0 into 0 1.218 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 1.219 * [backup-simplify]: Simplify 1 into 1 1.219 * [backup-simplify]: Simplify 0 into 0 1.219 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 1.220 * [backup-simplify]: Simplify (+ (* 2 -1/6) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into -1/3 1.220 * [backup-simplify]: Simplify -1/3 into -1/3 1.221 * [backup-simplify]: Simplify (+ (* -1/3 (pow (* re 1) 3)) (+ (* 1 (* re (pow im 2))) (* 2 (* re 1)))) into (- (+ (* 2 re) (* re (pow im 2))) (* 1/3 (pow re 3))) 1.221 * [backup-simplify]: Simplify (* (cbrt (pow (+ (exp (* -1 (/ 1 im))) (exp (/ 1 im))) 3)) (sin (/ 1 re))) into (* (sin (/ 1 re)) (+ (exp (/ -1 im)) (exp (/ 1 im)))) 1.221 * [approximate]: Taking taylor expansion of (* (sin (/ 1 re)) (+ (exp (/ -1 im)) (exp (/ 1 im)))) in (im re) around 0 1.221 * [taylor]: Taking taylor expansion of (* (sin (/ 1 re)) (+ (exp (/ -1 im)) (exp (/ 1 im)))) in re 1.221 * [taylor]: Taking taylor expansion of (sin (/ 1 re)) in re 1.221 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.221 * [taylor]: Taking taylor expansion of re in re 1.221 * [backup-simplify]: Simplify 0 into 0 1.221 * [backup-simplify]: Simplify 1 into 1 1.221 * [backup-simplify]: Simplify (/ 1 1) into 1 1.221 * [backup-simplify]: Simplify (sin (/ 1 re)) into (sin (/ 1 re)) 1.221 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re 1.221 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 1.221 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.221 * [taylor]: Taking taylor expansion of -1 in re 1.221 * [backup-simplify]: Simplify -1 into -1 1.221 * [taylor]: Taking taylor expansion of im in re 1.221 * [backup-simplify]: Simplify im into im 1.221 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.221 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) 1.221 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 1.221 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.221 * [taylor]: Taking taylor expansion of im in re 1.221 * [backup-simplify]: Simplify im into im 1.221 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.222 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 1.222 * [taylor]: Taking taylor expansion of (* (sin (/ 1 re)) (+ (exp (/ -1 im)) (exp (/ 1 im)))) in im 1.222 * [taylor]: Taking taylor expansion of (sin (/ 1 re)) in im 1.222 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.222 * [taylor]: Taking taylor expansion of re in im 1.222 * [backup-simplify]: Simplify re into re 1.222 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.222 * [backup-simplify]: Simplify (sin (/ 1 re)) into (sin (/ 1 re)) 1.222 * [backup-simplify]: Simplify (cos (/ 1 re)) into (cos (/ 1 re)) 1.222 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 1.222 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.222 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.222 * [taylor]: Taking taylor expansion of -1 in im 1.222 * [backup-simplify]: Simplify -1 into -1 1.222 * [taylor]: Taking taylor expansion of im in im 1.222 * [backup-simplify]: Simplify 0 into 0 1.222 * [backup-simplify]: Simplify 1 into 1 1.222 * [backup-simplify]: Simplify (/ -1 1) into -1 1.222 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) 1.222 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.222 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.222 * [taylor]: Taking taylor expansion of im in im 1.222 * [backup-simplify]: Simplify 0 into 0 1.222 * [backup-simplify]: Simplify 1 into 1 1.223 * [backup-simplify]: Simplify (/ 1 1) into 1 1.223 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 1.223 * [taylor]: Taking taylor expansion of (* (sin (/ 1 re)) (+ (exp (/ -1 im)) (exp (/ 1 im)))) in im 1.223 * [taylor]: Taking taylor expansion of (sin (/ 1 re)) in im 1.223 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.223 * [taylor]: Taking taylor expansion of re in im 1.223 * [backup-simplify]: Simplify re into re 1.223 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.223 * [backup-simplify]: Simplify (sin (/ 1 re)) into (sin (/ 1 re)) 1.223 * [backup-simplify]: Simplify (cos (/ 1 re)) into (cos (/ 1 re)) 1.223 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 1.223 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.223 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.223 * [taylor]: Taking taylor expansion of -1 in im 1.223 * [backup-simplify]: Simplify -1 into -1 1.223 * [taylor]: Taking taylor expansion of im in im 1.223 * [backup-simplify]: Simplify 0 into 0 1.223 * [backup-simplify]: Simplify 1 into 1 1.223 * [backup-simplify]: Simplify (/ -1 1) into -1 1.224 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) 1.224 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.224 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.224 * [taylor]: Taking taylor expansion of im in im 1.224 * [backup-simplify]: Simplify 0 into 0 1.224 * [backup-simplify]: Simplify 1 into 1 1.224 * [backup-simplify]: Simplify (/ 1 1) into 1 1.224 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 1.224 * [backup-simplify]: Simplify (* (sin (/ 1 re)) 1) into (sin (/ 1 re)) 1.224 * [backup-simplify]: Simplify (* (cos (/ 1 re)) 0) into 0 1.224 * [backup-simplify]: Simplify (+ (sin (/ 1 re)) 0) into (sin (/ 1 re)) 1.224 * [backup-simplify]: Simplify (+ (exp (/ -1 im)) (exp (/ 1 im))) into (+ (exp (/ -1 im)) (exp (/ 1 im))) 1.224 * [backup-simplify]: Simplify (* (sin (/ 1 re)) (+ (exp (/ -1 im)) (exp (/ 1 im)))) into (* (sin (/ 1 re)) (+ (exp (/ -1 im)) (exp (/ 1 im)))) 1.224 * [taylor]: Taking taylor expansion of (* (sin (/ 1 re)) (+ (exp (/ -1 im)) (exp (/ 1 im)))) in re 1.224 * [taylor]: Taking taylor expansion of (sin (/ 1 re)) in re 1.224 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.224 * [taylor]: Taking taylor expansion of re in re 1.224 * [backup-simplify]: Simplify 0 into 0 1.224 * [backup-simplify]: Simplify 1 into 1 1.225 * [backup-simplify]: Simplify (/ 1 1) into 1 1.225 * [backup-simplify]: Simplify (sin (/ 1 re)) into (sin (/ 1 re)) 1.225 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re 1.225 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 1.225 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.225 * [taylor]: Taking taylor expansion of -1 in re 1.225 * [backup-simplify]: Simplify -1 into -1 1.225 * [taylor]: Taking taylor expansion of im in re 1.225 * [backup-simplify]: Simplify im into im 1.225 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.225 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) 1.225 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 1.225 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.225 * [taylor]: Taking taylor expansion of im in re 1.225 * [backup-simplify]: Simplify im into im 1.225 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.225 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 1.225 * [backup-simplify]: Simplify (+ (exp (/ -1 im)) (exp (/ 1 im))) into (+ (exp (/ -1 im)) (exp (/ 1 im))) 1.225 * [backup-simplify]: Simplify (* (sin (/ 1 re)) (+ (exp (/ -1 im)) (exp (/ 1 im)))) into (* (sin (/ 1 re)) (+ (exp (/ -1 im)) (exp (/ 1 im)))) 1.225 * [backup-simplify]: Simplify (* (sin (/ 1 re)) (+ (exp (/ -1 im)) (exp (/ 1 im)))) into (* (sin (/ 1 re)) (+ (exp (/ -1 im)) (exp (/ 1 im)))) 1.226 * [backup-simplify]: Simplify (+ 0 0) into 0 1.226 * [backup-simplify]: Simplify (+ 0) into 0 1.226 * [backup-simplify]: Simplify (+ (* (sin (/ 1 re)) 0) (* 0 1)) into 0 1.226 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 1.227 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.227 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (* 0 0)) into 0 1.227 * [backup-simplify]: Simplify (+ 0 0) into 0 1.227 * [backup-simplify]: Simplify (+ (* (sin (/ 1 re)) 0) (* 0 (+ (exp (/ -1 im)) (exp (/ 1 im))))) into 0 1.228 * [taylor]: Taking taylor expansion of 0 in re 1.228 * [backup-simplify]: Simplify 0 into 0 1.228 * [backup-simplify]: Simplify 0 into 0 1.228 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 1.228 * [backup-simplify]: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 1) 1)))) into 0 1.228 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 1.229 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 1) 1)))) into 0 1.229 * [backup-simplify]: Simplify (+ 0 0) into 0 1.229 * [backup-simplify]: Simplify (+ (* (sin (/ 1 re)) 0) (* 0 (+ (exp (/ -1 im)) (exp (/ 1 im))))) into 0 1.229 * [backup-simplify]: Simplify 0 into 0 1.229 * [backup-simplify]: Simplify (+ 0 0) into 0 1.230 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.230 * [backup-simplify]: Simplify (+ (* (sin (/ 1 re)) 0) (+ (* 0 0) (* 0 1))) into 0 1.231 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 1.231 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.231 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (+ (* 0 0) (* 0 0))) into 0 1.232 * [backup-simplify]: Simplify (+ 0 0) into 0 1.232 * [backup-simplify]: Simplify (+ (* (sin (/ 1 re)) 0) (+ (* 0 0) (* 0 (+ (exp (/ -1 im)) (exp (/ 1 im)))))) into 0 1.232 * [taylor]: Taking taylor expansion of 0 in re 1.232 * [backup-simplify]: Simplify 0 into 0 1.232 * [backup-simplify]: Simplify 0 into 0 1.232 * [backup-simplify]: Simplify 0 into 0 1.232 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 1.233 * [backup-simplify]: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.233 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 1.234 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.234 * [backup-simplify]: Simplify (+ 0 0) into 0 1.235 * [backup-simplify]: Simplify (+ (* (sin (/ 1 re)) 0) (+ (* 0 0) (* 0 (+ (exp (/ -1 im)) (exp (/ 1 im)))))) into 0 1.235 * [backup-simplify]: Simplify 0 into 0 1.235 * [backup-simplify]: Simplify (+ 0 0) into 0 1.235 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.236 * [backup-simplify]: Simplify (+ (* (sin (/ 1 re)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.236 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)) (* 0 (/ 0 re)))) into 0 1.237 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.237 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.238 * [backup-simplify]: Simplify (+ 0 0) into 0 1.238 * [backup-simplify]: Simplify (+ (* (sin (/ 1 re)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (exp (/ -1 im)) (exp (/ 1 im))))))) into 0 1.238 * [taylor]: Taking taylor expansion of 0 in re 1.238 * [backup-simplify]: Simplify 0 into 0 1.238 * [backup-simplify]: Simplify 0 into 0 1.238 * [backup-simplify]: Simplify (* (sin (/ 1 (/ 1 re))) (+ (exp (/ -1 (/ 1 im))) (exp (/ 1 (/ 1 im))))) into (* (+ (exp (* -1 im)) (exp im)) (sin re)) 1.239 * [backup-simplify]: Simplify (* (cbrt (pow (+ (exp (* -1 (/ 1 (- im)))) (exp (/ 1 (- im)))) 3)) (sin (/ 1 (- re)))) into (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (sin (/ -1 re))) 1.239 * [approximate]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (sin (/ -1 re))) in (im re) around 0 1.239 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (sin (/ -1 re))) in re 1.239 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re 1.239 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 1.239 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.239 * [taylor]: Taking taylor expansion of -1 in re 1.239 * [backup-simplify]: Simplify -1 into -1 1.239 * [taylor]: Taking taylor expansion of im in re 1.239 * [backup-simplify]: Simplify im into im 1.239 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.239 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) 1.239 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 1.239 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.239 * [taylor]: Taking taylor expansion of im in re 1.239 * [backup-simplify]: Simplify im into im 1.239 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.239 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 1.239 * [taylor]: Taking taylor expansion of (sin (/ -1 re)) in re 1.239 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.239 * [taylor]: Taking taylor expansion of -1 in re 1.239 * [backup-simplify]: Simplify -1 into -1 1.239 * [taylor]: Taking taylor expansion of re in re 1.239 * [backup-simplify]: Simplify 0 into 0 1.239 * [backup-simplify]: Simplify 1 into 1 1.239 * [backup-simplify]: Simplify (/ -1 1) into -1 1.239 * [backup-simplify]: Simplify (sin (/ -1 re)) into (sin (/ -1 re)) 1.239 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (sin (/ -1 re))) in im 1.240 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 1.240 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.240 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.240 * [taylor]: Taking taylor expansion of -1 in im 1.240 * [backup-simplify]: Simplify -1 into -1 1.240 * [taylor]: Taking taylor expansion of im in im 1.240 * [backup-simplify]: Simplify 0 into 0 1.240 * [backup-simplify]: Simplify 1 into 1 1.240 * [backup-simplify]: Simplify (/ -1 1) into -1 1.240 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) 1.240 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.240 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.240 * [taylor]: Taking taylor expansion of im in im 1.240 * [backup-simplify]: Simplify 0 into 0 1.240 * [backup-simplify]: Simplify 1 into 1 1.240 * [backup-simplify]: Simplify (/ 1 1) into 1 1.240 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 1.240 * [taylor]: Taking taylor expansion of (sin (/ -1 re)) in im 1.240 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.240 * [taylor]: Taking taylor expansion of -1 in im 1.241 * [backup-simplify]: Simplify -1 into -1 1.241 * [taylor]: Taking taylor expansion of re in im 1.241 * [backup-simplify]: Simplify re into re 1.241 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 1.241 * [backup-simplify]: Simplify (sin (/ -1 re)) into (sin (/ -1 re)) 1.241 * [backup-simplify]: Simplify (cos (/ -1 re)) into (cos (/ -1 re)) 1.241 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (sin (/ -1 re))) in im 1.241 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 1.241 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.241 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.241 * [taylor]: Taking taylor expansion of -1 in im 1.241 * [backup-simplify]: Simplify -1 into -1 1.241 * [taylor]: Taking taylor expansion of im in im 1.241 * [backup-simplify]: Simplify 0 into 0 1.241 * [backup-simplify]: Simplify 1 into 1 1.241 * [backup-simplify]: Simplify (/ -1 1) into -1 1.242 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) 1.242 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.242 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.242 * [taylor]: Taking taylor expansion of im in im 1.242 * [backup-simplify]: Simplify 0 into 0 1.242 * [backup-simplify]: Simplify 1 into 1 1.242 * [backup-simplify]: Simplify (/ 1 1) into 1 1.242 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 1.242 * [taylor]: Taking taylor expansion of (sin (/ -1 re)) in im 1.242 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.242 * [taylor]: Taking taylor expansion of -1 in im 1.242 * [backup-simplify]: Simplify -1 into -1 1.242 * [taylor]: Taking taylor expansion of re in im 1.242 * [backup-simplify]: Simplify re into re 1.242 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 1.242 * [backup-simplify]: Simplify (sin (/ -1 re)) into (sin (/ -1 re)) 1.242 * [backup-simplify]: Simplify (cos (/ -1 re)) into (cos (/ -1 re)) 1.243 * [backup-simplify]: Simplify (+ (exp (/ -1 im)) (exp (/ 1 im))) into (+ (exp (/ -1 im)) (exp (/ 1 im))) 1.243 * [backup-simplify]: Simplify (* (sin (/ -1 re)) 1) into (sin (/ -1 re)) 1.243 * [backup-simplify]: Simplify (* (cos (/ -1 re)) 0) into 0 1.243 * [backup-simplify]: Simplify (+ (sin (/ -1 re)) 0) into (sin (/ -1 re)) 1.243 * [backup-simplify]: Simplify (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (sin (/ -1 re))) into (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (sin (/ -1 re))) 1.243 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (sin (/ -1 re))) in re 1.243 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re 1.243 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 1.243 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.243 * [taylor]: Taking taylor expansion of -1 in re 1.243 * [backup-simplify]: Simplify -1 into -1 1.243 * [taylor]: Taking taylor expansion of im in re 1.243 * [backup-simplify]: Simplify im into im 1.243 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.244 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) 1.244 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 1.244 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.244 * [taylor]: Taking taylor expansion of im in re 1.244 * [backup-simplify]: Simplify im into im 1.244 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.244 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 1.244 * [taylor]: Taking taylor expansion of (sin (/ -1 re)) in re 1.244 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.244 * [taylor]: Taking taylor expansion of -1 in re 1.244 * [backup-simplify]: Simplify -1 into -1 1.244 * [taylor]: Taking taylor expansion of re in re 1.244 * [backup-simplify]: Simplify 0 into 0 1.244 * [backup-simplify]: Simplify 1 into 1 1.244 * [backup-simplify]: Simplify (/ -1 1) into -1 1.244 * [backup-simplify]: Simplify (sin (/ -1 re)) into (sin (/ -1 re)) 1.245 * [backup-simplify]: Simplify (+ (exp (/ -1 im)) (exp (/ 1 im))) into (+ (exp (/ -1 im)) (exp (/ 1 im))) 1.245 * [backup-simplify]: Simplify (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (sin (/ -1 re))) into (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (sin (/ -1 re))) 1.245 * [backup-simplify]: Simplify (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (sin (/ -1 re))) into (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (sin (/ -1 re))) 1.245 * [backup-simplify]: Simplify (+ 0) into 0 1.246 * [backup-simplify]: Simplify (+ (* (sin (/ -1 re)) 0) (* 0 1)) into 0 1.246 * [backup-simplify]: Simplify (- (/ 0 re) (+ (* (/ -1 re) (/ 0 re)))) into 0 1.247 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.247 * [backup-simplify]: Simplify (+ (* (cos (/ -1 re)) 0) (* 0 0)) into 0 1.247 * [backup-simplify]: Simplify (+ 0 0) into 0 1.248 * [backup-simplify]: Simplify (+ 0 0) into 0 1.248 * [backup-simplify]: Simplify (+ (* (+ (exp (/ -1 im)) (exp (/ 1 im))) 0) (* 0 (sin (/ -1 re)))) into 0 1.248 * [taylor]: Taking taylor expansion of 0 in re 1.248 * [backup-simplify]: Simplify 0 into 0 1.248 * [backup-simplify]: Simplify 0 into 0 1.248 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 1.248 * [backup-simplify]: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 1) 1)))) into 0 1.249 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 1.249 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 1) 1)))) into 0 1.249 * [backup-simplify]: Simplify (+ 0 0) into 0 1.249 * [backup-simplify]: Simplify (+ (* (+ (exp (/ -1 im)) (exp (/ 1 im))) 0) (* 0 (sin (/ -1 re)))) into 0 1.249 * [backup-simplify]: Simplify 0 into 0 1.250 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.251 * [backup-simplify]: Simplify (+ (* (sin (/ -1 re)) 0) (+ (* 0 0) (* 0 1))) into 0 1.251 * [backup-simplify]: Simplify (- (/ 0 re) (+ (* (/ -1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 1.251 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.251 * [backup-simplify]: Simplify (+ (* (cos (/ -1 re)) 0) (+ (* 0 0) (* 0 0))) into 0 1.252 * [backup-simplify]: Simplify (+ 0 0) into 0 1.252 * [backup-simplify]: Simplify (+ 0 0) into 0 1.252 * [backup-simplify]: Simplify (+ (* (+ (exp (/ -1 im)) (exp (/ 1 im))) 0) (+ (* 0 0) (* 0 (sin (/ -1 re))))) into 0 1.252 * [taylor]: Taking taylor expansion of 0 in re 1.252 * [backup-simplify]: Simplify 0 into 0 1.252 * [backup-simplify]: Simplify 0 into 0 1.252 * [backup-simplify]: Simplify 0 into 0 1.253 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 1.253 * [backup-simplify]: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.253 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 1.254 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.254 * [backup-simplify]: Simplify (+ 0 0) into 0 1.255 * [backup-simplify]: Simplify (+ (* (+ (exp (/ -1 im)) (exp (/ 1 im))) 0) (+ (* 0 0) (* 0 (sin (/ -1 re))))) into 0 1.255 * [backup-simplify]: Simplify 0 into 0 1.255 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.256 * [backup-simplify]: Simplify (+ (* (sin (/ -1 re)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.256 * [backup-simplify]: Simplify (- (/ 0 re) (+ (* (/ -1 re) (/ 0 re)) (* 0 (/ 0 re)) (* 0 (/ 0 re)))) into 0 1.257 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.257 * [backup-simplify]: Simplify (+ (* (cos (/ -1 re)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.258 * [backup-simplify]: Simplify (+ 0 0) into 0 1.258 * [backup-simplify]: Simplify (+ 0 0) into 0 1.259 * [backup-simplify]: Simplify (+ (* (+ (exp (/ -1 im)) (exp (/ 1 im))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 re)))))) into 0 1.259 * [taylor]: Taking taylor expansion of 0 in re 1.259 * [backup-simplify]: Simplify 0 into 0 1.259 * [backup-simplify]: Simplify 0 into 0 1.259 * [backup-simplify]: Simplify (* (+ (exp (/ -1 (/ 1 (- im)))) (exp (/ 1 (/ 1 (- im))))) (sin (/ -1 (/ 1 (- re))))) into (* (+ (exp (* -1 im)) (exp im)) (sin re)) 1.259 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 1) 1.259 * [backup-simplify]: Simplify (+ (exp (* -1 im)) (exp im)) into (+ (exp (* -1 im)) (exp im)) 1.259 * [approximate]: Taking taylor expansion of (+ (exp (* -1 im)) (exp im)) in (im) around 0 1.259 * [taylor]: Taking taylor expansion of (+ (exp (* -1 im)) (exp im)) in im 1.259 * [taylor]: Taking taylor expansion of (exp (* -1 im)) in im 1.259 * [taylor]: Taking taylor expansion of (* -1 im) in im 1.259 * [taylor]: Taking taylor expansion of -1 in im 1.259 * [backup-simplify]: Simplify -1 into -1 1.259 * [taylor]: Taking taylor expansion of im in im 1.259 * [backup-simplify]: Simplify 0 into 0 1.259 * [backup-simplify]: Simplify 1 into 1 1.259 * [backup-simplify]: Simplify (* -1 0) into 0 1.260 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 0)) into -1 1.260 * [backup-simplify]: Simplify (exp 0) into 1 1.260 * [taylor]: Taking taylor expansion of (exp im) in im 1.260 * [taylor]: Taking taylor expansion of im in im 1.260 * [backup-simplify]: Simplify 0 into 0 1.260 * [backup-simplify]: Simplify 1 into 1 1.260 * [backup-simplify]: Simplify (exp 0) into 1 1.260 * [taylor]: Taking taylor expansion of (+ (exp (* -1 im)) (exp im)) in im 1.260 * [taylor]: Taking taylor expansion of (exp (* -1 im)) in im 1.260 * [taylor]: Taking taylor expansion of (* -1 im) in im 1.260 * [taylor]: Taking taylor expansion of -1 in im 1.260 * [backup-simplify]: Simplify -1 into -1 1.260 * [taylor]: Taking taylor expansion of im in im 1.260 * [backup-simplify]: Simplify 0 into 0 1.260 * [backup-simplify]: Simplify 1 into 1 1.260 * [backup-simplify]: Simplify (* -1 0) into 0 1.261 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 0)) into -1 1.261 * [backup-simplify]: Simplify (exp 0) into 1 1.261 * [taylor]: Taking taylor expansion of (exp im) in im 1.261 * [taylor]: Taking taylor expansion of im in im 1.261 * [backup-simplify]: Simplify 0 into 0 1.261 * [backup-simplify]: Simplify 1 into 1 1.261 * [backup-simplify]: Simplify (exp 0) into 1 1.261 * [backup-simplify]: Simplify (+ 1 1) into 2 1.261 * [backup-simplify]: Simplify 2 into 2 1.262 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1 1.262 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 1.263 * [backup-simplify]: Simplify (+ -1 1) into 0 1.263 * [backup-simplify]: Simplify 0 into 0 1.263 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 0))) into 0 1.264 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 1.265 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 1.265 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 1.265 * [backup-simplify]: Simplify 1 into 1 1.266 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.268 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 3) 6)) (* (/ (pow -1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into -1/6 1.269 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 1/6 1.269 * [backup-simplify]: Simplify (+ -1/6 1/6) into 0 1.269 * [backup-simplify]: Simplify 0 into 0 1.270 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1.272 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 4) 24)) (* (/ (pow -1 2) 2) (/ (pow 0 1) 1)) (* (/ (pow -1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 1/24 1.275 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 4) 24)) (* (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 1/24 1.275 * [backup-simplify]: Simplify (+ 1/24 1/24) into 1/12 1.275 * [backup-simplify]: Simplify 1/12 into 1/12 1.276 * [backup-simplify]: Simplify (+ (* 1/12 (pow im 4)) (+ (* 1 (pow im 2)) 2)) into (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2)) 1.276 * [backup-simplify]: Simplify (+ (exp (* -1 (/ 1 im))) (exp (/ 1 im))) into (+ (exp (/ -1 im)) (exp (/ 1 im))) 1.276 * [approximate]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in (im) around 0 1.276 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 1.276 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.276 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.276 * [taylor]: Taking taylor expansion of -1 in im 1.276 * [backup-simplify]: Simplify -1 into -1 1.276 * [taylor]: Taking taylor expansion of im in im 1.276 * [backup-simplify]: Simplify 0 into 0 1.276 * [backup-simplify]: Simplify 1 into 1 1.276 * [backup-simplify]: Simplify (/ -1 1) into -1 1.276 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) 1.276 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.276 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.276 * [taylor]: Taking taylor expansion of im in im 1.276 * [backup-simplify]: Simplify 0 into 0 1.276 * [backup-simplify]: Simplify 1 into 1 1.276 * [backup-simplify]: Simplify (/ 1 1) into 1 1.277 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 1.277 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 1.277 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.277 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.277 * [taylor]: Taking taylor expansion of -1 in im 1.277 * [backup-simplify]: Simplify -1 into -1 1.277 * [taylor]: Taking taylor expansion of im in im 1.277 * [backup-simplify]: Simplify 0 into 0 1.277 * [backup-simplify]: Simplify 1 into 1 1.277 * [backup-simplify]: Simplify (/ -1 1) into -1 1.277 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) 1.277 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.277 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.277 * [taylor]: Taking taylor expansion of im in im 1.277 * [backup-simplify]: Simplify 0 into 0 1.277 * [backup-simplify]: Simplify 1 into 1 1.277 * [backup-simplify]: Simplify (/ 1 1) into 1 1.277 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 1.277 * [backup-simplify]: Simplify (+ (exp (/ -1 im)) (exp (/ 1 im))) into (+ (exp (/ -1 im)) (exp (/ 1 im))) 1.278 * [backup-simplify]: Simplify (+ (exp (/ -1 im)) (exp (/ 1 im))) into (+ (exp (/ -1 im)) (exp (/ 1 im))) 1.278 * [backup-simplify]: Simplify (+ 0 0) into 0 1.278 * [backup-simplify]: Simplify 0 into 0 1.278 * [backup-simplify]: Simplify (+ 0 0) into 0 1.278 * [backup-simplify]: Simplify 0 into 0 1.278 * [backup-simplify]: Simplify (+ 0 0) into 0 1.278 * [backup-simplify]: Simplify 0 into 0 1.279 * [backup-simplify]: Simplify (+ 0 0) into 0 1.279 * [backup-simplify]: Simplify 0 into 0 1.279 * [backup-simplify]: Simplify (+ 0 0) into 0 1.279 * [backup-simplify]: Simplify 0 into 0 1.279 * [backup-simplify]: Simplify (+ 0 0) into 0 1.279 * [backup-simplify]: Simplify 0 into 0 1.279 * [backup-simplify]: Simplify (+ (exp (/ -1 (/ 1 im))) (exp (/ 1 (/ 1 im)))) into (+ (exp (* -1 im)) (exp im)) 1.279 * [backup-simplify]: Simplify (+ (exp (* -1 (/ 1 (- im)))) (exp (/ 1 (- im)))) into (+ (exp (/ -1 im)) (exp (/ 1 im))) 1.279 * [approximate]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in (im) around 0 1.279 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 1.279 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.279 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.280 * [taylor]: Taking taylor expansion of -1 in im 1.280 * [backup-simplify]: Simplify -1 into -1 1.280 * [taylor]: Taking taylor expansion of im in im 1.280 * [backup-simplify]: Simplify 0 into 0 1.280 * [backup-simplify]: Simplify 1 into 1 1.280 * [backup-simplify]: Simplify (/ -1 1) into -1 1.280 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) 1.280 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.280 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.280 * [taylor]: Taking taylor expansion of im in im 1.280 * [backup-simplify]: Simplify 0 into 0 1.280 * [backup-simplify]: Simplify 1 into 1 1.280 * [backup-simplify]: Simplify (/ 1 1) into 1 1.280 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 1.280 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 1.280 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.280 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.280 * [taylor]: Taking taylor expansion of -1 in im 1.280 * [backup-simplify]: Simplify -1 into -1 1.280 * [taylor]: Taking taylor expansion of im in im 1.280 * [backup-simplify]: Simplify 0 into 0 1.280 * [backup-simplify]: Simplify 1 into 1 1.281 * [backup-simplify]: Simplify (/ -1 1) into -1 1.281 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) 1.281 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.281 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.281 * [taylor]: Taking taylor expansion of im in im 1.281 * [backup-simplify]: Simplify 0 into 0 1.281 * [backup-simplify]: Simplify 1 into 1 1.281 * [backup-simplify]: Simplify (/ 1 1) into 1 1.281 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 1.281 * [backup-simplify]: Simplify (+ (exp (/ -1 im)) (exp (/ 1 im))) into (+ (exp (/ -1 im)) (exp (/ 1 im))) 1.281 * [backup-simplify]: Simplify (+ (exp (/ -1 im)) (exp (/ 1 im))) into (+ (exp (/ -1 im)) (exp (/ 1 im))) 1.284 * [backup-simplify]: Simplify (+ 0 0) into 0 1.284 * [backup-simplify]: Simplify 0 into 0 1.284 * [backup-simplify]: Simplify (+ 0 0) into 0 1.284 * [backup-simplify]: Simplify 0 into 0 1.285 * [backup-simplify]: Simplify (+ 0 0) into 0 1.285 * [backup-simplify]: Simplify 0 into 0 1.285 * [backup-simplify]: Simplify (+ 0 0) into 0 1.285 * [backup-simplify]: Simplify 0 into 0 1.285 * [backup-simplify]: Simplify (+ 0 0) into 0 1.285 * [backup-simplify]: Simplify 0 into 0 1.285 * [backup-simplify]: Simplify (+ 0 0) into 0 1.285 * [backup-simplify]: Simplify 0 into 0 1.286 * [backup-simplify]: Simplify (+ (exp (/ -1 (/ 1 (- im)))) (exp (/ 1 (/ 1 (- im))))) into (+ (exp (* -1 im)) (exp im)) 1.286 * * * [progress]: simplifying candidates 1.287 * [simplify]: Simplifying: (* (log (+ (exp (* -1 im)) (exp im))) 3) (* (log (+ (exp (* -1 im)) (exp im))) 3) (* 1 3) (pow (+ (exp (* -1 im)) (exp im)) (* (cbrt 3) (cbrt 3))) (pow (+ (exp (* -1 im)) (exp im)) (sqrt 3)) (pow (+ (exp (* -1 im)) (exp im)) 1) (pow (* (cbrt (+ (exp (* -1 im)) (exp im))) (cbrt (+ (exp (* -1 im)) (exp im)))) 3) (pow (cbrt (+ (exp (* -1 im)) (exp im))) 3) (pow (sqrt (+ (exp (* -1 im)) (exp im))) 3) (pow (sqrt (+ (exp (* -1 im)) (exp im))) 3) (pow 1 3) (pow (+ (exp (* -1 im)) (exp im)) 3) (pow 1 3) (pow (+ (exp (* -1 im)) (exp im)) 3) (* (+ (exp (* -1 im)) (exp im)) (+ (exp (* -1 im)) (exp im))) (log (pow (+ (exp (* -1 im)) (exp im)) 3)) (exp (pow (+ (exp (* -1 im)) (exp im)) 3)) (* (cbrt (pow (+ (exp (* -1 im)) (exp im)) 3)) (cbrt (pow (+ (exp (* -1 im)) (exp im)) 3))) (cbrt (pow (+ (exp (* -1 im)) (exp im)) 3)) (* (* (pow (+ (exp (* -1 im)) (exp im)) 3) (pow (+ (exp (* -1 im)) (exp im)) 3)) (pow (+ (exp (* -1 im)) (exp im)) 3)) (pow (* (cbrt (+ (exp (* -1 im)) (exp im))) (cbrt (+ (exp (* -1 im)) (exp im)))) 3) (pow (cbrt (+ (exp (* -1 im)) (exp im))) 3) (pow (sqrt (+ (exp (* -1 im)) (exp im))) 3) (pow (sqrt (+ (exp (* -1 im)) (exp im))) 3) (pow 1 3) (pow (+ (exp (* -1 im)) (exp im)) 3) (pow 1 3) (pow (+ (exp (* -1 im)) (exp im)) 3) (pow (+ (pow (exp (* -1 im)) 3) (pow (exp im) 3)) 3) (pow (+ (* (exp (* -1 im)) (exp (* -1 im))) (- (* (exp im) (exp im)) (* (exp (* -1 im)) (exp im)))) 3) (pow (- (* (exp (* -1 im)) (exp (* -1 im))) (* (exp im) (exp im))) 3) (pow (- (exp (* -1 im)) (exp im)) 3) (* (+ (exp (* -1 im)) (exp im)) (+ (exp (* -1 im)) (exp im))) (sqrt (pow (+ (exp (* -1 im)) (exp im)) 3)) (sqrt (pow (+ (exp (* -1 im)) (exp im)) 3)) (pow (+ (exp (* -1 im)) (exp im)) (/ 3 2)) (pow (+ (exp (* -1 im)) (exp im)) (/ 3 2)) (log (cbrt (pow (+ (exp (* -1 im)) (exp im)) 3))) (exp (cbrt (pow (+ (exp (* -1 im)) (exp im)) 3))) (cbrt (pow (* (cbrt (+ (exp (* -1 im)) (exp im))) (cbrt (+ (exp (* -1 im)) (exp im)))) 3)) (cbrt (pow (cbrt (+ (exp (* -1 im)) (exp im))) 3)) (cbrt (pow (sqrt (+ (exp (* -1 im)) (exp im))) 3)) (cbrt (pow (sqrt (+ (exp (* -1 im)) (exp im))) 3)) (cbrt (pow 1 3)) (cbrt (pow (+ (exp (* -1 im)) (exp im)) 3)) (cbrt (pow 1 3)) (cbrt (pow (+ (exp (* -1 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(cbrt (pow (+ (pow (exp (* -1 im)) 3) (pow (exp im) 3)) 3)) (cbrt (pow (+ (* (exp (* -1 im)) (exp (* -1 im))) (- (* (exp im) (exp im)) (* (exp (* -1 im)) (exp im)))) 3)) (cbrt (pow (- (* (exp (* -1 im)) (exp (* -1 im))) (* (exp im) (exp im))) 3)) (cbrt (pow (- (exp (* -1 im)) (exp im)) 3)) (* (cbrt (cbrt (pow (+ (exp (* -1 im)) (exp im)) 3))) (cbrt (cbrt (pow (+ (exp (* -1 im)) (exp im)) 3)))) (cbrt (cbrt (pow (+ (exp (* -1 im)) (exp im)) 3))) (* (* (cbrt (pow (+ (exp (* -1 im)) (exp im)) 3)) (cbrt (pow (+ (exp (* -1 im)) (exp im)) 3))) (cbrt (pow (+ (exp (* -1 im)) (exp im)) 3))) (sqrt (cbrt (pow (+ (exp (* -1 im)) (exp im)) 3))) (sqrt (cbrt (pow (+ (exp (* -1 im)) (exp im)) 3))) (* (cbrt (pow (+ (exp (* -1 im)) (exp im)) 3)) (sin re)) (+ (log (cbrt (pow (+ (exp (* -1 im)) (exp im)) 3))) (log (sin re))) (log (* (cbrt (pow (+ (exp (* -1 im)) (exp im)) 3)) (sin re))) (exp (* (cbrt (pow (+ (exp (* -1 im)) (exp im)) 3)) (sin re))) (* (pow (+ (exp (* -1 im)) (exp im)) 3) (* (* (sin re) (sin re)) (sin re))) (* (cbrt (* (cbrt (pow (+ (exp (* -1 im)) (exp im)) 3)) (sin re))) (cbrt (* (cbrt (pow (+ (exp (* -1 im)) (exp im)) 3)) (sin re)))) (cbrt (* (cbrt (pow (+ (exp (* -1 im)) (exp im)) 3)) (sin re))) (* (* (* (cbrt (pow (+ (exp (* -1 im)) (exp im)) 3)) (sin re)) (* (cbrt (pow (+ (exp (* -1 im)) (exp im)) 3)) (sin re))) (* (cbrt (pow (+ (exp (* -1 im)) (exp im)) 3)) (sin re))) (sqrt (* (cbrt (pow (+ (exp (* -1 im)) (exp im)) 3)) (sin re))) (sqrt (* (cbrt (pow (+ (exp (* -1 im)) (exp im)) 3)) (sin re))) (* (cbrt (pow (sqrt (+ (exp (* -1 im)) (exp im))) 3)) (sqrt (sin re))) (* (cbrt (pow (sqrt (+ (exp (* -1 im)) (exp im))) 3)) (sqrt (sin re))) (* (cbrt (pow (sqrt (+ (exp (* -1 im)) (exp im))) 3)) (sqrt (sin re))) (* (cbrt (pow (sqrt (+ (exp (* -1 im)) (exp im))) 3)) (sqrt (sin re))) (* (cbrt (sqrt (pow (+ (exp (* -1 im)) (exp im)) 3))) (sqrt (sin re))) (* (cbrt (sqrt (pow (+ (exp (* -1 im)) (exp im)) 3))) (sqrt (sin re))) (* (cbrt (pow (+ (exp (* -1 im)) (exp im)) (/ 3 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im)) (exp im)) 3)) (sin re)) (* (cbrt (* (+ (exp (* -1 im)) (exp im)) (+ (exp (* -1 im)) (exp im)))) (sin re)) (* (cbrt (sqrt (pow (+ (exp (* -1 im)) (exp im)) 3))) (sin re)) (* (cbrt (pow (+ (exp (* -1 im)) (exp im)) 3)) (sin re)) (* (cbrt (pow (+ (exp (* -1 im)) (exp im)) (/ 3 2))) (sin re)) (* (cbrt (cbrt (pow (+ (exp (* -1 im)) (exp im)) 3))) (sin re)) (* (sqrt (cbrt (pow (+ (exp (* -1 im)) (exp im)) 3))) (sin re)) (* (cbrt (pow (+ (exp (* -1 im)) (exp im)) 3)) (sin re)) (* (cbrt (pow (+ (pow (exp (* -1 im)) 3) (pow (exp im) 3)) 3)) (sin re)) (* (cbrt (pow (- (* (exp (* -1 im)) (exp (* -1 im))) (* (exp im) (exp im))) 3)) (sin re)) (* (exp (exp (* -1 im))) (exp (exp im))) (log (+ (exp (* -1 im)) (exp im))) (exp (+ (exp (* -1 im)) (exp im))) (* (cbrt (+ (exp (* -1 im)) (exp im))) (cbrt (+ (exp (* -1 im)) (exp im)))) (cbrt (+ (exp (* -1 im)) (exp im))) (* (* (+ (exp (* -1 im)) (exp im)) (+ (exp (* -1 im)) (exp im))) (+ (exp (* -1 im)) (exp im))) (sqrt (+ (exp (* -1 im)) (exp im))) (sqrt (+ (exp (* -1 im)) (exp im))) (+ (pow (exp (* -1 im)) 3) (pow (exp im) 3)) (+ (* (exp (* -1 im)) (exp (* -1 im))) (- (* (exp im) (exp im)) (* (exp (* -1 im)) (exp im)))) (- (* (exp (* -1 im)) (exp (* -1 im))) (* (exp im) (exp im))) (- (exp (* -1 im)) (exp im)) (+ (exp (* -1 im)) (exp im)) (+ (* 7 (pow im 4)) (+ (* 12 (pow im 2)) 8)) (pow (+ (exp (* -1 im)) (exp im)) 3) (pow (+ (exp (* -1 im)) (exp im)) 3) (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2)) (+ (exp (* -1 im)) (exp im)) (+ (exp (* -1 im)) (exp im)) (- (+ (* 2 re) (* re (pow im 2))) (* 1/3 (pow re 3))) (* (+ (exp (* -1 im)) (exp im)) (sin re)) (* (+ (exp (* -1 im)) (exp im)) (sin re)) (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2)) (+ (exp (* -1 im)) (exp im)) (+ (exp (* -1 im)) (exp im)) 1.288 * [simplify]: Sending expressions to egg_math: (* (log (+ (exp (* -1 h0)) (exp h0))) 3) (* (log (+ (exp (* -1 h0)) (exp h0))) 3) (* 1 3) (pow (+ (exp (* -1 h0)) (exp h0)) (* (cbrt 3) (cbrt 3))) (pow (+ (exp (* -1 h0)) (exp h0)) (sqrt 3)) (pow 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(cbrt (pow (+ (pow (exp (* -1 h0)) 3) (pow (exp h0) 3)) 3)) (cbrt (pow (+ (* (exp (* -1 h0)) (exp (* -1 h0))) (- (* (exp h0) (exp h0)) (* (exp (* -1 h0)) (exp h0)))) 3)) (cbrt (pow (- (* (exp (* -1 h0)) (exp (* -1 h0))) (* (exp h0) (exp h0))) 3)) (cbrt (pow (- (exp (* -1 h0)) (exp h0)) 3)) (* (cbrt (cbrt (pow (+ (exp (* -1 h0)) (exp h0)) 3))) (cbrt (cbrt (pow (+ (exp (* -1 h0)) (exp h0)) 3)))) (cbrt (cbrt (pow (+ (exp (* -1 h0)) (exp h0)) 3))) (* (* (cbrt (pow (+ (exp (* -1 h0)) (exp h0)) 3)) (cbrt (pow (+ (exp (* -1 h0)) (exp h0)) 3))) (cbrt (pow (+ (exp (* -1 h0)) (exp h0)) 3))) (sqrt (cbrt (pow (+ (exp (* -1 h0)) (exp h0)) 3))) (sqrt (cbrt (pow (+ (exp (* -1 h0)) (exp h0)) 3))) (* (cbrt (pow (+ (exp (* -1 h0)) (exp h0)) 3)) (sin h1)) (+ (log (cbrt (pow (+ (exp (* -1 h0)) (exp h0)) 3))) (log (sin h1))) (log (* (cbrt (pow (+ (exp (* -1 h0)) (exp h0)) 3)) (sin h1))) (exp (* (cbrt (pow (+ (exp (* -1 h0)) (exp h0)) 3)) (sin h1))) (* (pow (+ (exp (* -1 h0)) (exp h0)) 3) (* (* (sin h1) (sin h1)) (sin h1))) (* (cbrt (* (cbrt (pow (+ (exp (* -1 h0)) (exp h0)) 3)) (sin h1))) (cbrt (* (cbrt (pow (+ (exp (* -1 h0)) (exp h0)) 3)) (sin h1)))) (cbrt (* (cbrt (pow (+ (exp (* -1 h0)) (exp h0)) 3)) (sin h1))) (* (* (* (cbrt (pow (+ (exp (* -1 h0)) (exp h0)) 3)) (sin h1)) (* (cbrt (pow (+ (exp (* -1 h0)) (exp h0)) 3)) (sin h1))) (* (cbrt (pow (+ (exp (* -1 h0)) (exp h0)) 3)) (sin h1))) (sqrt (* (cbrt (pow (+ (exp (* -1 h0)) (exp h0)) 3)) (sin h1))) (sqrt (* (cbrt (pow (+ (exp (* -1 h0)) (exp h0)) 3)) (sin h1))) (* (cbrt (pow (sqrt (+ (exp (* -1 h0)) (exp h0))) 3)) (sqrt (sin h1))) (* (cbrt (pow (sqrt (+ (exp (* -1 h0)) (exp h0))) 3)) (sqrt (sin h1))) (* (cbrt (pow (sqrt (+ (exp (* -1 h0)) (exp h0))) 3)) (sqrt (sin h1))) (* (cbrt (pow (sqrt (+ (exp (* -1 h0)) (exp h0))) 3)) (sqrt (sin h1))) (* (cbrt (sqrt (pow (+ (exp (* -1 h0)) (exp h0)) 3))) (sqrt (sin h1))) (* (cbrt (sqrt (pow (+ (exp (* -1 h0)) (exp h0)) 3))) (sqrt (sin h1))) (* (cbrt (pow (+ (exp (* -1 h0)) (exp h0)) (/ 3 2))) (sqrt (sin h1))) (* (cbrt (pow (+ (exp (* -1 h0)) (exp h0)) (/ 3 2))) (sqrt (sin h1))) (* (sqrt (cbrt (pow (+ (exp (* -1 h0)) (exp h0)) 3))) (sqrt (sin h1))) (* (sqrt (cbrt (pow (+ (exp (* -1 h0)) (exp h0)) 3))) (sqrt (sin h1))) (* (cbrt (pow (+ (exp (* -1 h0)) (exp h0)) 3)) (* (cbrt (sin h1)) (cbrt (sin h1)))) (* (cbrt (pow (+ (exp (* -1 h0)) (exp h0)) 3)) (sqrt (sin h1))) (* (cbrt (pow (+ (exp (* -1 h0)) (exp h0)) 3)) 1) (* (cbrt (pow (cbrt (+ (exp (* -1 h0)) (exp h0))) 3)) (sin h1)) (* (cbrt (pow (sqrt (+ (exp (* -1 h0)) (exp h0))) 3)) (sin h1)) (* (cbrt (pow (+ (exp (* -1 h0)) (exp h0)) 3)) (sin h1)) (* (cbrt (pow (+ (exp (* -1 h0)) (exp h0)) 3)) (sin h1)) (* (cbrt (+ (exp (* -1 h0)) (exp h0))) (sin h1)) (* (cbrt (cbrt (pow (+ (exp (* -1 h0)) (exp h0)) 3))) (sin h1)) (* (cbrt (pow (cbrt (+ (exp (* -1 h0)) (exp h0))) 3)) (sin h1)) (* (cbrt (pow (sqrt (+ (exp (* -1 h0)) (exp h0))) 3)) (sin h1)) (* (cbrt (pow (+ (exp (* -1 h0)) (exp h0)) 3)) (sin h1)) (* (cbrt (pow (+ (exp (* -1 h0)) (exp h0)) 3)) (sin h1)) (* (cbrt (* (+ (exp (* -1 h0)) (exp h0)) (+ (exp (* -1 h0)) (exp h0)))) (sin h1)) (* (cbrt (sqrt (pow (+ (exp (* -1 h0)) (exp h0)) 3))) (sin h1)) (* (cbrt (pow (+ (exp (* -1 h0)) (exp h0)) 3)) (sin h1)) (* (cbrt (pow (+ (exp (* -1 h0)) (exp h0)) (/ 3 2))) (sin h1)) (* (cbrt (cbrt (pow (+ (exp (* -1 h0)) (exp h0)) 3))) (sin h1)) (* (sqrt (cbrt (pow (+ (exp (* -1 h0)) (exp h0)) 3))) (sin h1)) (* (cbrt (pow (+ (exp (* -1 h0)) (exp h0)) 3)) (sin h1)) (* (cbrt (pow (+ (pow (exp (* -1 h0)) 3) (pow (exp h0) 3)) 3)) (sin h1)) (* (cbrt (pow (- (* (exp (* -1 h0)) (exp (* -1 h0))) (* (exp h0) (exp h0))) 3)) (sin h1)) (* (exp (exp (* -1 h0))) (exp (exp h0))) (log (+ (exp (* -1 h0)) (exp h0))) (exp (+ (exp (* -1 h0)) (exp h0))) (* (cbrt (+ (exp (* -1 h0)) (exp h0))) (cbrt (+ (exp (* -1 h0)) (exp h0)))) (cbrt (+ (exp (* -1 h0)) (exp h0))) (* (* (+ (exp (* -1 h0)) (exp h0)) (+ (exp (* -1 h0)) (exp h0))) (+ (exp (* -1 h0)) (exp h0))) (sqrt (+ (exp (* -1 h0)) (exp h0))) (sqrt (+ (exp (* -1 h0)) (exp h0))) (+ (pow (exp (* -1 h0)) 3) (pow (exp h0) 3)) (+ (* (exp (* -1 h0)) (exp (* -1 h0))) (- (* (exp h0) (exp h0)) (* (exp (* -1 h0)) (exp h0)))) (- (* (exp (* -1 h0)) (exp (* -1 h0))) (* (exp h0) (exp h0))) (- (exp (* -1 h0)) (exp h0)) (+ (exp (* -1 h0)) (exp h0)) (+ (* 7 (pow h0 4)) (+ (* 12 (pow h0 2)) 8)) (pow (+ (exp (* -1 h0)) (exp h0)) 3) (pow (+ (exp (* -1 h0)) (exp h0)) 3) (+ (* 1/12 (pow h0 4)) (+ (pow h0 2) 2)) (+ (exp (* -1 h0)) (exp h0)) (+ (exp (* -1 h0)) (exp h0)) (- (+ (* 2 h1) (* h1 (pow h0 2))) (* 1/3 (pow h1 3))) (* (+ (exp (* -1 h0)) (exp h0)) (sin h1)) (* (+ (exp (* -1 h0)) (exp h0)) (sin h1)) (+ (* 1/12 (pow h0 4)) (+ (pow h0 2) 2)) (+ (exp (* -1 h0)) (exp h0)) (+ (exp (* -1 h0)) (exp h0)) 1.338 * * * [progress]: adding candidates to table 1.603 * * [progress]: iteration 4 / 4 1.603 * * * [progress]: picking best candidate 1.606 * * * * [pick]: Picked # 1.606 * * * [progress]: localizing error 1.625 * * * [progress]: generating rewritten candidates 1.625 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 1.632 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 1.651 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1) 1.696 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 1) 1.709 * * * [progress]: generating series expansions 1.709 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 1.709 * [backup-simplify]: Simplify (cbrt (pow (* (+ (exp (* -1 im)) (exp im)) (sin re)) 3)) into (* (+ (exp (* -1 im)) (exp im)) (sin re)) 1.709 * [approximate]: Taking taylor expansion of (* (+ (exp (* -1 im)) (exp im)) (sin re)) in (im re) around 0 1.709 * [taylor]: Taking taylor expansion of (* (+ (exp (* -1 im)) (exp im)) (sin re)) in re 1.709 * [taylor]: Taking taylor expansion of (+ (exp (* -1 im)) (exp im)) in re 1.709 * [taylor]: Taking taylor expansion of (exp (* -1 im)) in re 1.709 * [taylor]: Taking taylor expansion of (* -1 im) in re 1.709 * [taylor]: Taking taylor expansion of -1 in re 1.709 * [backup-simplify]: Simplify -1 into -1 1.709 * [taylor]: Taking taylor expansion of im in re 1.709 * [backup-simplify]: Simplify im into im 1.709 * [backup-simplify]: Simplify (* -1 im) into (* -1 im) 1.709 * [backup-simplify]: Simplify (exp (* -1 im)) into (exp (* -1 im)) 1.709 * [taylor]: Taking taylor expansion of (exp im) in re 1.709 * [taylor]: Taking taylor expansion of im in re 1.709 * [backup-simplify]: Simplify im into im 1.709 * [backup-simplify]: Simplify (exp im) into (exp im) 1.709 * [taylor]: Taking taylor expansion of (sin re) in re 1.709 * [taylor]: Taking taylor expansion of re in re 1.709 * [backup-simplify]: Simplify 0 into 0 1.709 * [backup-simplify]: Simplify 1 into 1 1.709 * [taylor]: Taking taylor expansion of (* (+ (exp (* -1 im)) (exp im)) (sin re)) in im 1.709 * [taylor]: Taking taylor expansion of (+ (exp (* -1 im)) (exp im)) in im 1.709 * [taylor]: Taking taylor expansion of (exp (* -1 im)) in im 1.709 * [taylor]: Taking taylor expansion of (* -1 im) in im 1.710 * [taylor]: Taking taylor expansion of -1 in im 1.710 * [backup-simplify]: Simplify -1 into -1 1.710 * [taylor]: Taking taylor expansion of im in im 1.710 * [backup-simplify]: Simplify 0 into 0 1.710 * [backup-simplify]: Simplify 1 into 1 1.710 * [backup-simplify]: Simplify (* -1 0) into 0 1.711 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 0)) into -1 1.711 * [backup-simplify]: Simplify (exp 0) into 1 1.711 * [taylor]: Taking taylor expansion of (exp im) in im 1.711 * [taylor]: Taking taylor expansion of im in im 1.711 * [backup-simplify]: Simplify 0 into 0 1.711 * [backup-simplify]: Simplify 1 into 1 1.711 * [backup-simplify]: Simplify (exp 0) into 1 1.711 * [taylor]: Taking taylor expansion of (sin re) in im 1.711 * [taylor]: Taking taylor expansion of re in im 1.711 * [backup-simplify]: Simplify re into re 1.711 * [backup-simplify]: Simplify (sin re) into (sin re) 1.711 * [backup-simplify]: Simplify (cos re) into (cos re) 1.711 * [taylor]: Taking taylor expansion of (* (+ (exp (* -1 im)) (exp im)) (sin re)) in im 1.711 * [taylor]: Taking taylor expansion of (+ (exp (* -1 im)) (exp im)) in im 1.711 * [taylor]: Taking taylor expansion of (exp (* -1 im)) in im 1.711 * [taylor]: Taking taylor expansion of (* -1 im) in im 1.711 * [taylor]: Taking taylor expansion of -1 in im 1.711 * [backup-simplify]: Simplify -1 into -1 1.711 * [taylor]: Taking taylor expansion of im in im 1.711 * [backup-simplify]: Simplify 0 into 0 1.711 * [backup-simplify]: Simplify 1 into 1 1.711 * [backup-simplify]: Simplify (* -1 0) into 0 1.712 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 0)) into -1 1.712 * [backup-simplify]: Simplify (exp 0) into 1 1.712 * [taylor]: Taking taylor expansion of (exp im) in im 1.712 * [taylor]: Taking taylor expansion of im in im 1.712 * [backup-simplify]: Simplify 0 into 0 1.712 * [backup-simplify]: Simplify 1 into 1 1.712 * [backup-simplify]: Simplify (exp 0) into 1 1.712 * [taylor]: Taking taylor expansion of (sin re) in im 1.712 * [taylor]: Taking taylor expansion of re in im 1.712 * [backup-simplify]: Simplify re into re 1.712 * [backup-simplify]: Simplify (sin re) into (sin re) 1.712 * [backup-simplify]: Simplify (cos re) into (cos re) 1.712 * [backup-simplify]: Simplify (+ 1 1) into 2 1.712 * [backup-simplify]: Simplify (* (sin re) 1) into (sin re) 1.712 * [backup-simplify]: Simplify (* (cos re) 0) into 0 1.712 * [backup-simplify]: Simplify (+ (sin re) 0) into (sin re) 1.712 * [backup-simplify]: Simplify (* 2 (sin re)) into (* 2 (sin re)) 1.712 * [taylor]: Taking taylor expansion of (* 2 (sin re)) in re 1.712 * [taylor]: Taking taylor expansion of 2 in re 1.712 * [backup-simplify]: Simplify 2 into 2 1.712 * [taylor]: Taking taylor expansion of (sin re) in re 1.712 * [taylor]: Taking taylor expansion of re in re 1.712 * [backup-simplify]: Simplify 0 into 0 1.712 * [backup-simplify]: Simplify 1 into 1 1.713 * [backup-simplify]: Simplify (* 2 0) into 0 1.713 * [backup-simplify]: Simplify 0 into 0 1.713 * [backup-simplify]: Simplify (+ 0) into 0 1.713 * [backup-simplify]: Simplify (+ (* (sin re) 0) (* 0 1)) into 0 1.714 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.714 * [backup-simplify]: Simplify (+ (* (cos re) 0) (* 0 0)) into 0 1.714 * [backup-simplify]: Simplify (+ 0 0) into 0 1.715 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1 1.716 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 1.716 * [backup-simplify]: Simplify (+ -1 1) into 0 1.716 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (sin re))) into 0 1.716 * [taylor]: Taking taylor expansion of 0 in re 1.716 * [backup-simplify]: Simplify 0 into 0 1.716 * [backup-simplify]: Simplify 0 into 0 1.717 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 1.717 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 1.717 * [backup-simplify]: Simplify 2 into 2 1.718 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.718 * [backup-simplify]: Simplify (+ (* (sin re) 0) (+ (* 0 0) (* 0 1))) into 0 1.719 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.719 * [backup-simplify]: Simplify (+ (* (cos re) 0) (+ (* 0 0) (* 0 0))) into 0 1.719 * [backup-simplify]: Simplify (+ 0 0) into 0 1.720 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 0))) into 0 1.721 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 1.722 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 1.722 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 1.723 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 1 (sin re)))) into (sin re) 1.723 * [taylor]: Taking taylor expansion of (sin re) in re 1.723 * [taylor]: Taking taylor expansion of re in re 1.723 * [backup-simplify]: Simplify 0 into 0 1.723 * [backup-simplify]: Simplify 1 into 1 1.723 * [backup-simplify]: Simplify 0 into 0 1.723 * [backup-simplify]: Simplify 0 into 0 1.723 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.724 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1.724 * [backup-simplify]: Simplify 0 into 0 1.725 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.725 * [backup-simplify]: Simplify (+ (* (sin re) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.726 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.726 * [backup-simplify]: Simplify (+ (* (cos re) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.727 * [backup-simplify]: Simplify (+ 0 0) into 0 1.727 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.729 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 3) 6)) (* (/ (pow -1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into -1/6 1.730 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 1/6 1.730 * [backup-simplify]: Simplify (+ -1/6 1/6) into 0 1.731 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 1 0) (* 0 (sin re))))) into 0 1.731 * [taylor]: Taking taylor expansion of 0 in re 1.731 * [backup-simplify]: Simplify 0 into 0 1.731 * [backup-simplify]: Simplify 0 into 0 1.732 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 1.732 * [backup-simplify]: Simplify 1 into 1 1.732 * [backup-simplify]: Simplify 0 into 0 1.733 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 1.733 * [backup-simplify]: Simplify (+ (* 2 -1/6) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into -1/3 1.733 * [backup-simplify]: Simplify -1/3 into -1/3 1.734 * [backup-simplify]: Simplify (+ (* -1/3 (pow (* re 1) 3)) (+ (* 1 (* re (pow im 2))) (* 2 (* re 1)))) into (- (+ (* 2 re) (* re (pow im 2))) (* 1/3 (pow re 3))) 1.734 * [backup-simplify]: Simplify (cbrt (pow (* (+ (exp (* -1 (/ 1 im))) (exp (/ 1 im))) (sin (/ 1 re))) 3)) into (* (sin (/ 1 re)) (+ (exp (/ -1 im)) (exp (/ 1 im)))) 1.734 * [approximate]: Taking taylor expansion of (* (sin (/ 1 re)) (+ (exp (/ -1 im)) (exp (/ 1 im)))) in (im re) around 0 1.734 * [taylor]: Taking taylor expansion of (* (sin (/ 1 re)) (+ (exp (/ -1 im)) (exp (/ 1 im)))) in re 1.734 * [taylor]: Taking taylor expansion of (sin (/ 1 re)) in re 1.734 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.734 * [taylor]: Taking taylor expansion of re in re 1.734 * [backup-simplify]: Simplify 0 into 0 1.734 * [backup-simplify]: Simplify 1 into 1 1.734 * [backup-simplify]: Simplify (/ 1 1) into 1 1.735 * [backup-simplify]: Simplify (sin (/ 1 re)) into (sin (/ 1 re)) 1.735 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re 1.735 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 1.735 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.735 * [taylor]: Taking taylor expansion of -1 in re 1.735 * [backup-simplify]: Simplify -1 into -1 1.735 * [taylor]: Taking taylor expansion of im in re 1.735 * [backup-simplify]: Simplify im into im 1.735 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.735 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) 1.735 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 1.735 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.735 * [taylor]: Taking taylor expansion of im in re 1.735 * [backup-simplify]: Simplify im into im 1.735 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.735 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 1.735 * [taylor]: Taking taylor expansion of (* (sin (/ 1 re)) (+ (exp (/ -1 im)) (exp (/ 1 im)))) in im 1.735 * [taylor]: Taking taylor expansion of (sin (/ 1 re)) in im 1.735 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.735 * [taylor]: Taking taylor expansion of re in im 1.735 * [backup-simplify]: Simplify re into re 1.735 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.735 * [backup-simplify]: Simplify (sin (/ 1 re)) into (sin (/ 1 re)) 1.735 * [backup-simplify]: Simplify (cos (/ 1 re)) into (cos (/ 1 re)) 1.735 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 1.735 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.735 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.735 * [taylor]: Taking taylor expansion of -1 in im 1.735 * [backup-simplify]: Simplify -1 into -1 1.735 * [taylor]: Taking taylor expansion of im in im 1.735 * [backup-simplify]: Simplify 0 into 0 1.735 * [backup-simplify]: Simplify 1 into 1 1.736 * [backup-simplify]: Simplify (/ -1 1) into -1 1.736 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) 1.736 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.736 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.736 * [taylor]: Taking taylor expansion of im in im 1.736 * [backup-simplify]: Simplify 0 into 0 1.736 * [backup-simplify]: Simplify 1 into 1 1.736 * [backup-simplify]: Simplify (/ 1 1) into 1 1.736 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 1.736 * [taylor]: Taking taylor expansion of (* (sin (/ 1 re)) (+ (exp (/ -1 im)) (exp (/ 1 im)))) in im 1.736 * [taylor]: Taking taylor expansion of (sin (/ 1 re)) in im 1.736 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.736 * [taylor]: Taking taylor expansion of re in im 1.736 * [backup-simplify]: Simplify re into re 1.736 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.736 * [backup-simplify]: Simplify (sin (/ 1 re)) into (sin (/ 1 re)) 1.736 * [backup-simplify]: Simplify (cos (/ 1 re)) into (cos (/ 1 re)) 1.736 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 1.737 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.737 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.737 * [taylor]: Taking taylor expansion of -1 in im 1.737 * [backup-simplify]: Simplify -1 into -1 1.737 * [taylor]: Taking taylor expansion of im in im 1.737 * [backup-simplify]: Simplify 0 into 0 1.737 * [backup-simplify]: Simplify 1 into 1 1.737 * [backup-simplify]: Simplify (/ -1 1) into -1 1.737 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) 1.737 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.737 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.737 * [taylor]: Taking taylor expansion of im in im 1.737 * [backup-simplify]: Simplify 0 into 0 1.737 * [backup-simplify]: Simplify 1 into 1 1.737 * [backup-simplify]: Simplify (/ 1 1) into 1 1.737 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 1.737 * [backup-simplify]: Simplify (* (sin (/ 1 re)) 1) into (sin (/ 1 re)) 1.737 * [backup-simplify]: Simplify (* (cos (/ 1 re)) 0) into 0 1.738 * [backup-simplify]: Simplify (+ (sin (/ 1 re)) 0) into (sin (/ 1 re)) 1.738 * [backup-simplify]: Simplify (+ (exp (/ -1 im)) (exp (/ 1 im))) into (+ (exp (/ -1 im)) (exp (/ 1 im))) 1.738 * [backup-simplify]: Simplify (* (sin (/ 1 re)) (+ (exp (/ -1 im)) (exp (/ 1 im)))) into (* (sin (/ 1 re)) (+ (exp (/ -1 im)) (exp (/ 1 im)))) 1.738 * [taylor]: Taking taylor expansion of (* (sin (/ 1 re)) (+ (exp (/ -1 im)) (exp (/ 1 im)))) in re 1.738 * [taylor]: Taking taylor expansion of (sin (/ 1 re)) in re 1.738 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.738 * [taylor]: Taking taylor expansion of re in re 1.738 * [backup-simplify]: Simplify 0 into 0 1.738 * [backup-simplify]: Simplify 1 into 1 1.738 * [backup-simplify]: Simplify (/ 1 1) into 1 1.738 * [backup-simplify]: Simplify (sin (/ 1 re)) into (sin (/ 1 re)) 1.738 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re 1.738 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 1.738 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.738 * [taylor]: Taking taylor expansion of -1 in re 1.738 * [backup-simplify]: Simplify -1 into -1 1.738 * [taylor]: Taking taylor expansion of im in re 1.738 * [backup-simplify]: Simplify im into im 1.738 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.738 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) 1.738 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 1.738 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.738 * [taylor]: Taking taylor expansion of im in re 1.738 * [backup-simplify]: Simplify im into im 1.738 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.739 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 1.739 * [backup-simplify]: Simplify (+ (exp (/ -1 im)) (exp (/ 1 im))) into (+ (exp (/ -1 im)) (exp (/ 1 im))) 1.739 * [backup-simplify]: Simplify (* (sin (/ 1 re)) (+ (exp (/ -1 im)) (exp (/ 1 im)))) into (* (sin (/ 1 re)) (+ (exp (/ -1 im)) (exp (/ 1 im)))) 1.739 * [backup-simplify]: Simplify (* (sin (/ 1 re)) (+ (exp (/ -1 im)) (exp (/ 1 im)))) into (* (sin (/ 1 re)) (+ (exp (/ -1 im)) (exp (/ 1 im)))) 1.739 * [backup-simplify]: Simplify (+ 0 0) into 0 1.739 * [backup-simplify]: Simplify (+ 0) into 0 1.740 * [backup-simplify]: Simplify (+ (* (sin (/ 1 re)) 0) (* 0 1)) into 0 1.740 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 1.740 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.741 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (* 0 0)) into 0 1.741 * [backup-simplify]: Simplify (+ 0 0) into 0 1.741 * [backup-simplify]: Simplify (+ (* (sin (/ 1 re)) 0) (* 0 (+ (exp (/ -1 im)) (exp (/ 1 im))))) into 0 1.741 * [taylor]: Taking taylor expansion of 0 in re 1.741 * [backup-simplify]: Simplify 0 into 0 1.741 * [backup-simplify]: Simplify 0 into 0 1.741 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 1.742 * [backup-simplify]: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 1) 1)))) into 0 1.742 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 1.742 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 1) 1)))) into 0 1.743 * [backup-simplify]: Simplify (+ 0 0) into 0 1.743 * [backup-simplify]: Simplify (+ (* (sin (/ 1 re)) 0) (* 0 (+ (exp (/ -1 im)) (exp (/ 1 im))))) into 0 1.743 * [backup-simplify]: Simplify 0 into 0 1.743 * [backup-simplify]: Simplify (+ 0 0) into 0 1.744 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.744 * [backup-simplify]: Simplify (+ (* (sin (/ 1 re)) 0) (+ (* 0 0) (* 0 1))) into 0 1.744 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 1.745 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.745 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (+ (* 0 0) (* 0 0))) into 0 1.745 * [backup-simplify]: Simplify (+ 0 0) into 0 1.746 * [backup-simplify]: Simplify (+ (* (sin (/ 1 re)) 0) (+ (* 0 0) (* 0 (+ (exp (/ -1 im)) (exp (/ 1 im)))))) into 0 1.746 * [taylor]: Taking taylor expansion of 0 in re 1.746 * [backup-simplify]: Simplify 0 into 0 1.746 * [backup-simplify]: Simplify 0 into 0 1.746 * [backup-simplify]: Simplify 0 into 0 1.746 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 1.747 * [backup-simplify]: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.747 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 1.748 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.748 * [backup-simplify]: Simplify (+ 0 0) into 0 1.748 * [backup-simplify]: Simplify (+ (* (sin (/ 1 re)) 0) (+ (* 0 0) (* 0 (+ (exp (/ -1 im)) (exp (/ 1 im)))))) into 0 1.748 * [backup-simplify]: Simplify 0 into 0 1.748 * [backup-simplify]: Simplify (+ 0 0) into 0 1.749 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.750 * [backup-simplify]: Simplify (+ (* (sin (/ 1 re)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.750 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)) (* 0 (/ 0 re)))) into 0 1.751 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.751 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.751 * [backup-simplify]: Simplify (+ 0 0) into 0 1.752 * [backup-simplify]: Simplify (+ (* (sin (/ 1 re)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (exp (/ -1 im)) (exp (/ 1 im))))))) into 0 1.752 * [taylor]: Taking taylor expansion of 0 in re 1.752 * [backup-simplify]: Simplify 0 into 0 1.752 * [backup-simplify]: Simplify 0 into 0 1.752 * [backup-simplify]: Simplify (* (sin (/ 1 (/ 1 re))) (+ (exp (/ -1 (/ 1 im))) (exp (/ 1 (/ 1 im))))) into (* (+ (exp (* -1 im)) (exp im)) (sin re)) 1.752 * [backup-simplify]: Simplify (cbrt (pow (* (+ (exp (* -1 (/ 1 (- im)))) (exp (/ 1 (- im)))) (sin (/ 1 (- re)))) 3)) into (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (sin (/ -1 re))) 1.752 * [approximate]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (sin (/ -1 re))) in (im re) around 0 1.752 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (sin (/ -1 re))) in re 1.752 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re 1.752 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 1.753 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.753 * [taylor]: Taking taylor expansion of -1 in re 1.753 * [backup-simplify]: Simplify -1 into -1 1.753 * [taylor]: Taking taylor expansion of im in re 1.753 * [backup-simplify]: Simplify im into im 1.753 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.753 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) 1.753 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 1.753 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.753 * [taylor]: Taking taylor expansion of im in re 1.753 * [backup-simplify]: Simplify im into im 1.753 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.753 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 1.753 * [taylor]: Taking taylor expansion of (sin (/ -1 re)) in re 1.753 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.753 * [taylor]: Taking taylor expansion of -1 in re 1.753 * [backup-simplify]: Simplify -1 into -1 1.753 * [taylor]: Taking taylor expansion of re in re 1.753 * [backup-simplify]: Simplify 0 into 0 1.753 * [backup-simplify]: Simplify 1 into 1 1.753 * [backup-simplify]: Simplify (/ -1 1) into -1 1.753 * [backup-simplify]: Simplify (sin (/ -1 re)) into (sin (/ -1 re)) 1.753 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (sin (/ -1 re))) in im 1.753 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 1.753 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.753 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.753 * [taylor]: Taking taylor expansion of -1 in im 1.753 * [backup-simplify]: Simplify -1 into -1 1.753 * [taylor]: Taking taylor expansion of im in im 1.753 * [backup-simplify]: Simplify 0 into 0 1.753 * [backup-simplify]: Simplify 1 into 1 1.754 * [backup-simplify]: Simplify (/ -1 1) into -1 1.754 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) 1.754 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.754 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.754 * [taylor]: Taking taylor expansion of im in im 1.754 * [backup-simplify]: Simplify 0 into 0 1.754 * [backup-simplify]: Simplify 1 into 1 1.754 * [backup-simplify]: Simplify (/ 1 1) into 1 1.754 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 1.754 * [taylor]: Taking taylor expansion of (sin (/ -1 re)) in im 1.754 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.754 * [taylor]: Taking taylor expansion of -1 in im 1.754 * [backup-simplify]: Simplify -1 into -1 1.754 * [taylor]: Taking taylor expansion of re in im 1.754 * [backup-simplify]: Simplify re into re 1.754 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 1.754 * [backup-simplify]: Simplify (sin (/ -1 re)) into (sin (/ -1 re)) 1.754 * [backup-simplify]: Simplify (cos (/ -1 re)) into (cos (/ -1 re)) 1.754 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (sin (/ -1 re))) in im 1.754 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 1.754 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.754 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.754 * [taylor]: Taking taylor expansion of -1 in im 1.754 * [backup-simplify]: Simplify -1 into -1 1.755 * [taylor]: Taking taylor expansion of im in im 1.755 * [backup-simplify]: Simplify 0 into 0 1.755 * [backup-simplify]: Simplify 1 into 1 1.755 * [backup-simplify]: Simplify (/ -1 1) into -1 1.755 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) 1.755 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.755 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.755 * [taylor]: Taking taylor expansion of im in im 1.755 * [backup-simplify]: Simplify 0 into 0 1.755 * [backup-simplify]: Simplify 1 into 1 1.755 * [backup-simplify]: Simplify (/ 1 1) into 1 1.755 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 1.755 * [taylor]: Taking taylor expansion of (sin (/ -1 re)) in im 1.755 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.755 * [taylor]: Taking taylor expansion of -1 in im 1.755 * [backup-simplify]: Simplify -1 into -1 1.755 * [taylor]: Taking taylor expansion of re in im 1.755 * [backup-simplify]: Simplify re into re 1.755 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 1.755 * [backup-simplify]: Simplify (sin (/ -1 re)) into (sin (/ -1 re)) 1.755 * [backup-simplify]: Simplify (cos (/ -1 re)) into (cos (/ -1 re)) 1.756 * [backup-simplify]: Simplify (+ (exp (/ -1 im)) (exp (/ 1 im))) into (+ (exp (/ -1 im)) (exp (/ 1 im))) 1.756 * [backup-simplify]: Simplify (* (sin (/ -1 re)) 1) into (sin (/ -1 re)) 1.756 * [backup-simplify]: Simplify (* (cos (/ -1 re)) 0) into 0 1.756 * [backup-simplify]: Simplify (+ (sin (/ -1 re)) 0) into (sin (/ -1 re)) 1.756 * [backup-simplify]: Simplify (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (sin (/ -1 re))) into (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (sin (/ -1 re))) 1.756 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (sin (/ -1 re))) in re 1.756 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re 1.756 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 1.756 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.756 * [taylor]: Taking taylor expansion of -1 in re 1.756 * [backup-simplify]: Simplify -1 into -1 1.756 * [taylor]: Taking taylor expansion of im in re 1.756 * [backup-simplify]: Simplify im into im 1.756 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.756 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) 1.756 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 1.756 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.756 * [taylor]: Taking taylor expansion of im in re 1.756 * [backup-simplify]: Simplify im into im 1.756 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.756 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 1.756 * [taylor]: Taking taylor expansion of (sin (/ -1 re)) in re 1.756 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.756 * [taylor]: Taking taylor expansion of -1 in re 1.756 * [backup-simplify]: Simplify -1 into -1 1.756 * [taylor]: Taking taylor expansion of re in re 1.756 * [backup-simplify]: Simplify 0 into 0 1.756 * [backup-simplify]: Simplify 1 into 1 1.757 * [backup-simplify]: Simplify (/ -1 1) into -1 1.757 * [backup-simplify]: Simplify (sin (/ -1 re)) into (sin (/ -1 re)) 1.757 * [backup-simplify]: Simplify (+ (exp (/ -1 im)) (exp (/ 1 im))) into (+ (exp (/ -1 im)) (exp (/ 1 im))) 1.757 * [backup-simplify]: Simplify (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (sin (/ -1 re))) into (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (sin (/ -1 re))) 1.757 * [backup-simplify]: Simplify (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (sin (/ -1 re))) into (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (sin (/ -1 re))) 1.757 * [backup-simplify]: Simplify (+ 0) into 0 1.758 * [backup-simplify]: Simplify (+ (* (sin (/ -1 re)) 0) (* 0 1)) into 0 1.758 * [backup-simplify]: Simplify (- (/ 0 re) (+ (* (/ -1 re) (/ 0 re)))) into 0 1.758 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.759 * [backup-simplify]: Simplify (+ (* (cos (/ -1 re)) 0) (* 0 0)) into 0 1.759 * [backup-simplify]: Simplify (+ 0 0) into 0 1.759 * [backup-simplify]: Simplify (+ 0 0) into 0 1.759 * [backup-simplify]: Simplify (+ (* (+ (exp (/ -1 im)) (exp (/ 1 im))) 0) (* 0 (sin (/ -1 re)))) into 0 1.759 * [taylor]: Taking taylor expansion of 0 in re 1.759 * [backup-simplify]: Simplify 0 into 0 1.759 * [backup-simplify]: Simplify 0 into 0 1.759 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 1.760 * [backup-simplify]: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 1) 1)))) into 0 1.760 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 1.761 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 1) 1)))) into 0 1.761 * [backup-simplify]: Simplify (+ 0 0) into 0 1.761 * [backup-simplify]: Simplify (+ (* (+ (exp (/ -1 im)) (exp (/ 1 im))) 0) (* 0 (sin (/ -1 re)))) into 0 1.761 * [backup-simplify]: Simplify 0 into 0 1.762 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.762 * [backup-simplify]: Simplify (+ (* (sin (/ -1 re)) 0) (+ (* 0 0) (* 0 1))) into 0 1.762 * [backup-simplify]: Simplify (- (/ 0 re) (+ (* (/ -1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 1.763 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.763 * [backup-simplify]: Simplify (+ (* (cos (/ -1 re)) 0) (+ (* 0 0) (* 0 0))) into 0 1.763 * [backup-simplify]: Simplify (+ 0 0) into 0 1.764 * [backup-simplify]: Simplify (+ 0 0) into 0 1.767 * [backup-simplify]: Simplify (+ (* (+ (exp (/ -1 im)) (exp (/ 1 im))) 0) (+ (* 0 0) (* 0 (sin (/ -1 re))))) into 0 1.767 * [taylor]: Taking taylor expansion of 0 in re 1.767 * [backup-simplify]: Simplify 0 into 0 1.767 * [backup-simplify]: Simplify 0 into 0 1.767 * [backup-simplify]: Simplify 0 into 0 1.767 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 1.768 * [backup-simplify]: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.769 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 1.769 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.770 * [backup-simplify]: Simplify (+ 0 0) into 0 1.770 * [backup-simplify]: Simplify (+ (* (+ (exp (/ -1 im)) (exp (/ 1 im))) 0) (+ (* 0 0) (* 0 (sin (/ -1 re))))) into 0 1.770 * [backup-simplify]: Simplify 0 into 0 1.771 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.771 * [backup-simplify]: Simplify (+ (* (sin (/ -1 re)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.771 * [backup-simplify]: Simplify (- (/ 0 re) (+ (* (/ -1 re) (/ 0 re)) (* 0 (/ 0 re)) (* 0 (/ 0 re)))) into 0 1.772 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.773 * [backup-simplify]: Simplify (+ (* (cos (/ -1 re)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.773 * [backup-simplify]: Simplify (+ 0 0) into 0 1.774 * [backup-simplify]: Simplify (+ 0 0) into 0 1.774 * [backup-simplify]: Simplify (+ (* (+ (exp (/ -1 im)) (exp (/ 1 im))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 re)))))) into 0 1.774 * [taylor]: Taking taylor expansion of 0 in re 1.774 * [backup-simplify]: Simplify 0 into 0 1.774 * [backup-simplify]: Simplify 0 into 0 1.774 * [backup-simplify]: Simplify (* (+ (exp (/ -1 (/ 1 (- im)))) (exp (/ 1 (/ 1 (- im))))) (sin (/ -1 (/ 1 (- re))))) into (* (+ (exp (* -1 im)) (exp im)) (sin re)) 1.775 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 1.775 * [backup-simplify]: Simplify (pow (* (+ (exp (* -1 im)) (exp im)) (sin re)) 3) into (pow (* (+ (exp (* -1 im)) (exp im)) (sin re)) 3) 1.775 * [approximate]: Taking taylor expansion of (pow (* (+ (exp (* -1 im)) (exp im)) (sin re)) 3) in (im re) around 0 1.775 * [taylor]: Taking taylor expansion of (pow (* (+ (exp (* -1 im)) (exp im)) (sin re)) 3) in re 1.775 * [taylor]: Taking taylor expansion of (* (+ (exp (* -1 im)) (exp im)) (sin re)) in re 1.775 * [taylor]: Taking taylor expansion of (+ (exp (* -1 im)) (exp im)) in re 1.775 * [taylor]: Taking taylor expansion of (exp (* -1 im)) in re 1.775 * [taylor]: Taking taylor expansion of (* -1 im) in re 1.775 * [taylor]: Taking taylor expansion of -1 in re 1.775 * [backup-simplify]: Simplify -1 into -1 1.775 * [taylor]: Taking taylor expansion of im in re 1.775 * [backup-simplify]: Simplify im into im 1.775 * [backup-simplify]: Simplify (* -1 im) into (* -1 im) 1.775 * [backup-simplify]: Simplify (exp (* -1 im)) into (exp (* -1 im)) 1.775 * [taylor]: Taking taylor expansion of (exp im) in re 1.775 * [taylor]: Taking taylor expansion of im in re 1.775 * [backup-simplify]: Simplify im into im 1.775 * [backup-simplify]: Simplify (exp im) into (exp im) 1.775 * [taylor]: Taking taylor expansion of (sin re) in re 1.775 * [taylor]: Taking taylor expansion of re in re 1.775 * [backup-simplify]: Simplify 0 into 0 1.775 * [backup-simplify]: Simplify 1 into 1 1.775 * [backup-simplify]: Simplify (+ (exp (* -1 im)) (exp im)) into (+ (exp (* -1 im)) (exp im)) 1.775 * [backup-simplify]: Simplify (* (+ (exp (* -1 im)) (exp im)) 0) into 0 1.776 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 1.776 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 im)) into 0 1.777 * [backup-simplify]: Simplify (* (exp (* -1 im)) (+ (* (/ (pow 0 1) 1)))) into 0 1.777 * [backup-simplify]: Simplify (* (exp im) (+ (* (/ (pow 0 1) 1)))) into 0 1.778 * [backup-simplify]: Simplify (+ 0 0) into 0 1.778 * [backup-simplify]: Simplify (+ (* (+ (exp (* -1 im)) (exp im)) 1) (* 0 0)) into (+ (exp (* -1 im)) (exp im)) 1.778 * [taylor]: Taking taylor expansion of (pow (* (+ (exp (* -1 im)) (exp im)) (sin re)) 3) in im 1.778 * [taylor]: Taking taylor expansion of (* (+ (exp (* -1 im)) (exp im)) (sin re)) in im 1.778 * [taylor]: Taking taylor expansion of (+ (exp (* -1 im)) (exp im)) in im 1.778 * [taylor]: Taking taylor expansion of (exp (* -1 im)) in im 1.778 * [taylor]: Taking taylor expansion of (* -1 im) in im 1.778 * [taylor]: Taking taylor expansion of -1 in im 1.778 * [backup-simplify]: Simplify -1 into -1 1.778 * [taylor]: Taking taylor expansion of im in im 1.778 * [backup-simplify]: Simplify 0 into 0 1.778 * [backup-simplify]: Simplify 1 into 1 1.778 * [backup-simplify]: Simplify (* -1 0) into 0 1.779 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 0)) into -1 1.779 * [backup-simplify]: Simplify (exp 0) into 1 1.779 * [taylor]: Taking taylor expansion of (exp im) in im 1.779 * [taylor]: Taking taylor expansion of im in im 1.779 * [backup-simplify]: Simplify 0 into 0 1.779 * [backup-simplify]: Simplify 1 into 1 1.779 * [backup-simplify]: Simplify (exp 0) into 1 1.779 * [taylor]: Taking taylor expansion of (sin re) in im 1.779 * [taylor]: Taking taylor expansion of re in im 1.779 * [backup-simplify]: Simplify re into re 1.779 * [backup-simplify]: Simplify (sin re) into (sin re) 1.779 * [backup-simplify]: Simplify (cos re) into (cos re) 1.779 * [backup-simplify]: Simplify (+ 1 1) into 2 1.779 * [backup-simplify]: Simplify (* (sin re) 1) into (sin re) 1.780 * [backup-simplify]: Simplify (* (cos re) 0) into 0 1.780 * [backup-simplify]: Simplify (+ (sin re) 0) into (sin re) 1.780 * [backup-simplify]: Simplify (* 2 (sin re)) into (* 2 (sin re)) 1.780 * [taylor]: Taking taylor expansion of (pow (* (+ (exp (* -1 im)) (exp im)) (sin re)) 3) in im 1.780 * [taylor]: Taking taylor expansion of (* (+ (exp (* -1 im)) (exp im)) (sin re)) in im 1.780 * [taylor]: Taking taylor expansion of (+ (exp (* -1 im)) (exp im)) in im 1.780 * [taylor]: Taking taylor expansion of (exp (* -1 im)) in im 1.780 * [taylor]: Taking taylor expansion of (* -1 im) in im 1.780 * [taylor]: Taking taylor expansion of -1 in im 1.780 * [backup-simplify]: Simplify -1 into -1 1.780 * [taylor]: Taking taylor expansion of im in im 1.780 * [backup-simplify]: Simplify 0 into 0 1.780 * [backup-simplify]: Simplify 1 into 1 1.780 * [backup-simplify]: Simplify (* -1 0) into 0 1.781 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 0)) into -1 1.781 * [backup-simplify]: Simplify (exp 0) into 1 1.781 * [taylor]: Taking taylor expansion of (exp im) in im 1.781 * [taylor]: Taking taylor expansion of im in im 1.781 * [backup-simplify]: Simplify 0 into 0 1.781 * [backup-simplify]: Simplify 1 into 1 1.781 * [backup-simplify]: Simplify (exp 0) into 1 1.781 * [taylor]: Taking taylor expansion of (sin re) in im 1.781 * [taylor]: Taking taylor expansion of re in im 1.781 * [backup-simplify]: Simplify re into re 1.781 * [backup-simplify]: Simplify (sin re) into (sin re) 1.781 * [backup-simplify]: Simplify (cos re) into (cos re) 1.781 * [backup-simplify]: Simplify (+ 1 1) into 2 1.781 * [backup-simplify]: Simplify (* (sin re) 1) into (sin re) 1.781 * [backup-simplify]: Simplify (* (cos re) 0) into 0 1.781 * [backup-simplify]: Simplify (+ (sin re) 0) into (sin re) 1.781 * [backup-simplify]: Simplify (* 2 (sin re)) into (* 2 (sin re)) 1.781 * [backup-simplify]: Simplify (* (* 2 (sin re)) (* 2 (sin re))) into (* 4 (pow (sin re) 2)) 1.782 * [backup-simplify]: Simplify (* (* 2 (sin re)) (* 4 (pow (sin re) 2))) into (* 8 (pow (sin re) 3)) 1.782 * [taylor]: Taking taylor expansion of (* 8 (pow (sin re) 3)) in re 1.782 * [taylor]: Taking taylor expansion of 8 in re 1.782 * [backup-simplify]: Simplify 8 into 8 1.782 * [taylor]: Taking taylor expansion of (pow (sin re) 3) in re 1.782 * [taylor]: Taking taylor expansion of (sin re) in re 1.782 * [taylor]: Taking taylor expansion of re in re 1.782 * [backup-simplify]: Simplify 0 into 0 1.782 * [backup-simplify]: Simplify 1 into 1 1.782 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 1.783 * [backup-simplify]: Simplify (* 1 1) into 1 1.783 * [backup-simplify]: Simplify (* 1 1) into 1 1.783 * [backup-simplify]: Simplify (* 8 1) into 8 1.783 * [backup-simplify]: Simplify 8 into 8 1.783 * [backup-simplify]: Simplify (+ 0) into 0 1.784 * [backup-simplify]: Simplify (+ (* (sin re) 0) (* 0 1)) into 0 1.784 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.784 * [backup-simplify]: Simplify (+ (* (cos re) 0) (* 0 0)) into 0 1.785 * [backup-simplify]: Simplify (+ 0 0) into 0 1.785 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1 1.786 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 1.787 * [backup-simplify]: Simplify (+ -1 1) into 0 1.787 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (sin re))) into 0 1.787 * [backup-simplify]: Simplify (+ (* (* 2 (sin re)) 0) (* 0 (* 2 (sin re)))) into 0 1.787 * [backup-simplify]: Simplify (+ (* (* 2 (sin re)) 0) (* 0 (* 4 (pow (sin re) 2)))) into 0 1.787 * [taylor]: Taking taylor expansion of 0 in re 1.787 * [backup-simplify]: Simplify 0 into 0 1.787 * [backup-simplify]: Simplify 0 into 0 1.788 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.788 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.788 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.789 * [backup-simplify]: Simplify (+ (* 8 0) (* 0 1)) into 0 1.789 * [backup-simplify]: Simplify 0 into 0 1.790 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.790 * [backup-simplify]: Simplify (+ (* (sin re) 0) (+ (* 0 0) (* 0 1))) into 0 1.790 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.791 * [backup-simplify]: Simplify (+ (* (cos re) 0) (+ (* 0 0) (* 0 0))) into 0 1.791 * [backup-simplify]: Simplify (+ 0 0) into 0 1.792 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 0))) into 0 1.793 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 1.794 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 1.794 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 1.794 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 1 (sin re)))) into (sin re) 1.795 * [backup-simplify]: Simplify (+ (* (* 2 (sin re)) (sin re)) (+ (* 0 0) (* (sin re) (* 2 (sin re))))) into (* 4 (pow (sin re) 2)) 1.795 * [backup-simplify]: Simplify (+ (* (* 2 (sin re)) (* 4 (pow (sin re) 2))) (+ (* 0 0) (* (sin re) (* 4 (pow (sin re) 2))))) into (* 12 (pow (sin re) 3)) 1.795 * [taylor]: Taking taylor expansion of (* 12 (pow (sin re) 3)) in re 1.795 * [taylor]: Taking taylor expansion of 12 in re 1.795 * [backup-simplify]: Simplify 12 into 12 1.795 * [taylor]: Taking taylor expansion of (pow (sin re) 3) in re 1.795 * [taylor]: Taking taylor expansion of (sin re) in re 1.795 * [taylor]: Taking taylor expansion of re in re 1.795 * [backup-simplify]: Simplify 0 into 0 1.795 * [backup-simplify]: Simplify 1 into 1 1.796 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 1.796 * [backup-simplify]: Simplify (* 1 1) into 1 1.796 * [backup-simplify]: Simplify (* 1 1) into 1 1.797 * [backup-simplify]: Simplify (* 12 1) into 12 1.797 * [backup-simplify]: Simplify 12 into 12 1.797 * [backup-simplify]: Simplify 0 into 0 1.798 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 1.798 * [backup-simplify]: Simplify (+ (* 1 -1/6) (+ (* 0 0) (* -1/6 1))) into -1/3 1.799 * [backup-simplify]: Simplify (+ (* 1 -1/3) (+ (* 0 0) (* -1/6 1))) into -1/2 1.799 * [backup-simplify]: Simplify (+ (* 8 -1/2) (+ (* 0 0) (* 0 1))) into -4 1.800 * [backup-simplify]: Simplify -4 into -4 1.800 * [backup-simplify]: Simplify (+ (* -4 (pow (* re 1) 5)) (+ (* 12 (* (pow re 3) (pow im 2))) (* 8 (pow (* re 1) 3)))) into (- (+ (* 12 (* (pow re 3) (pow im 2))) (* 8 (pow re 3))) (* 4 (pow re 5))) 1.800 * [backup-simplify]: Simplify (pow (* (+ (exp (* -1 (/ 1 im))) (exp (/ 1 im))) (sin (/ 1 re))) 3) into (pow (* (sin (/ 1 re)) (+ (exp (/ -1 im)) (exp (/ 1 im)))) 3) 1.800 * [approximate]: Taking taylor expansion of (pow (* (sin (/ 1 re)) (+ (exp (/ -1 im)) (exp (/ 1 im)))) 3) in (im re) around 0 1.800 * [taylor]: Taking taylor expansion of (pow (* (sin (/ 1 re)) (+ (exp (/ -1 im)) (exp (/ 1 im)))) 3) in re 1.800 * [taylor]: Taking taylor expansion of (* (sin (/ 1 re)) (+ (exp (/ -1 im)) (exp (/ 1 im)))) in re 1.800 * [taylor]: Taking taylor expansion of (sin (/ 1 re)) in re 1.800 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.800 * [taylor]: Taking taylor expansion of re in re 1.800 * [backup-simplify]: Simplify 0 into 0 1.800 * [backup-simplify]: Simplify 1 into 1 1.801 * [backup-simplify]: Simplify (/ 1 1) into 1 1.801 * [backup-simplify]: Simplify (sin (/ 1 re)) into (sin (/ 1 re)) 1.801 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re 1.801 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 1.801 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.801 * [taylor]: Taking taylor expansion of -1 in re 1.801 * [backup-simplify]: Simplify -1 into -1 1.801 * [taylor]: Taking taylor expansion of im in re 1.801 * [backup-simplify]: Simplify im into im 1.801 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.801 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) 1.801 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 1.801 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.801 * [taylor]: Taking taylor expansion of im in re 1.801 * [backup-simplify]: Simplify im into im 1.801 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.801 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 1.801 * [backup-simplify]: Simplify (+ (exp (/ -1 im)) (exp (/ 1 im))) into (+ (exp (/ -1 im)) (exp (/ 1 im))) 1.801 * [backup-simplify]: Simplify (* (sin (/ 1 re)) (+ (exp (/ -1 im)) (exp (/ 1 im)))) into (* (sin (/ 1 re)) (+ (exp (/ -1 im)) (exp (/ 1 im)))) 1.801 * [taylor]: Taking taylor expansion of (pow (* (sin (/ 1 re)) (+ (exp (/ -1 im)) (exp (/ 1 im)))) 3) in im 1.801 * [taylor]: Taking taylor expansion of (* (sin (/ 1 re)) (+ (exp (/ -1 im)) (exp (/ 1 im)))) in im 1.801 * [taylor]: Taking taylor expansion of (sin (/ 1 re)) in im 1.801 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.801 * [taylor]: Taking taylor expansion of re in im 1.801 * [backup-simplify]: Simplify re into re 1.801 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.802 * [backup-simplify]: Simplify (sin (/ 1 re)) into (sin (/ 1 re)) 1.802 * [backup-simplify]: Simplify (cos (/ 1 re)) into (cos (/ 1 re)) 1.802 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 1.802 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.802 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.802 * [taylor]: Taking taylor expansion of -1 in im 1.802 * [backup-simplify]: Simplify -1 into -1 1.802 * [taylor]: Taking taylor expansion of im in im 1.802 * [backup-simplify]: Simplify 0 into 0 1.802 * [backup-simplify]: Simplify 1 into 1 1.802 * [backup-simplify]: Simplify (/ -1 1) into -1 1.802 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) 1.802 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.802 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.802 * [taylor]: Taking taylor expansion of im in im 1.802 * [backup-simplify]: Simplify 0 into 0 1.802 * [backup-simplify]: Simplify 1 into 1 1.802 * [backup-simplify]: Simplify (/ 1 1) into 1 1.802 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 1.802 * [backup-simplify]: Simplify (* (sin (/ 1 re)) 1) into (sin (/ 1 re)) 1.803 * [backup-simplify]: Simplify (* (cos (/ 1 re)) 0) into 0 1.803 * [backup-simplify]: Simplify (+ (sin (/ 1 re)) 0) into (sin (/ 1 re)) 1.803 * [backup-simplify]: Simplify (+ (exp (/ -1 im)) (exp (/ 1 im))) into (+ (exp (/ -1 im)) (exp (/ 1 im))) 1.803 * [backup-simplify]: Simplify (* (sin (/ 1 re)) (+ (exp (/ -1 im)) (exp (/ 1 im)))) into (* (sin (/ 1 re)) (+ (exp (/ -1 im)) (exp (/ 1 im)))) 1.803 * [taylor]: Taking taylor expansion of (pow (* (sin (/ 1 re)) (+ (exp (/ -1 im)) (exp (/ 1 im)))) 3) in im 1.803 * [taylor]: Taking taylor expansion of (* (sin (/ 1 re)) (+ (exp (/ -1 im)) (exp (/ 1 im)))) in im 1.803 * [taylor]: Taking taylor expansion of (sin (/ 1 re)) in im 1.803 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.803 * [taylor]: Taking taylor expansion of re in im 1.803 * [backup-simplify]: Simplify re into re 1.803 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.803 * [backup-simplify]: Simplify (sin (/ 1 re)) into (sin (/ 1 re)) 1.803 * [backup-simplify]: Simplify (cos (/ 1 re)) into (cos (/ 1 re)) 1.803 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 1.803 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.803 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.803 * [taylor]: Taking taylor expansion of -1 in im 1.803 * [backup-simplify]: Simplify -1 into -1 1.803 * [taylor]: Taking taylor expansion of im in im 1.803 * [backup-simplify]: Simplify 0 into 0 1.803 * [backup-simplify]: Simplify 1 into 1 1.803 * [backup-simplify]: Simplify (/ -1 1) into -1 1.804 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) 1.804 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.804 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.804 * [taylor]: Taking taylor expansion of im in im 1.804 * [backup-simplify]: Simplify 0 into 0 1.804 * [backup-simplify]: Simplify 1 into 1 1.804 * [backup-simplify]: Simplify (/ 1 1) into 1 1.804 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 1.804 * [backup-simplify]: Simplify (* (sin (/ 1 re)) 1) into (sin (/ 1 re)) 1.804 * [backup-simplify]: Simplify (* (cos (/ 1 re)) 0) into 0 1.804 * [backup-simplify]: Simplify (+ (sin (/ 1 re)) 0) into (sin (/ 1 re)) 1.804 * [backup-simplify]: Simplify (+ (exp (/ -1 im)) (exp (/ 1 im))) into (+ (exp (/ -1 im)) (exp (/ 1 im))) 1.804 * [backup-simplify]: Simplify (* (sin (/ 1 re)) (+ (exp (/ -1 im)) (exp (/ 1 im)))) into (* (sin (/ 1 re)) (+ (exp (/ -1 im)) (exp (/ 1 im)))) 1.805 * [backup-simplify]: Simplify (* (* (sin (/ 1 re)) (+ (exp (/ -1 im)) (exp (/ 1 im)))) (* (sin (/ 1 re)) (+ (exp (/ -1 im)) (exp (/ 1 im))))) into (* (pow (sin (/ 1 re)) 2) (pow (+ (exp (/ -1 im)) (exp (/ 1 im))) 2)) 1.805 * [backup-simplify]: Simplify (* (* (sin (/ 1 re)) (+ (exp (/ -1 im)) (exp (/ 1 im)))) (* (pow (sin (/ 1 re)) 2) (pow (+ (exp (/ -1 im)) (exp (/ 1 im))) 2))) into (* (pow (sin (/ 1 re)) 3) (pow (+ (exp (/ -1 im)) (exp (/ 1 im))) 3)) 1.805 * [taylor]: Taking taylor expansion of (* (pow (sin (/ 1 re)) 3) (pow (+ (exp (/ -1 im)) (exp (/ 1 im))) 3)) in re 1.805 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 re)) 3) in re 1.805 * [taylor]: Taking taylor expansion of (sin (/ 1 re)) in re 1.805 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.805 * [taylor]: Taking taylor expansion of re in re 1.805 * [backup-simplify]: Simplify 0 into 0 1.805 * [backup-simplify]: Simplify 1 into 1 1.805 * [backup-simplify]: Simplify (/ 1 1) into 1 1.805 * [backup-simplify]: Simplify (sin (/ 1 re)) into (sin (/ 1 re)) 1.805 * [taylor]: Taking taylor expansion of (pow (+ (exp (/ -1 im)) (exp (/ 1 im))) 3) in re 1.805 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re 1.806 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 1.806 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.806 * [taylor]: Taking taylor expansion of -1 in re 1.806 * [backup-simplify]: Simplify -1 into -1 1.806 * [taylor]: Taking taylor expansion of im in re 1.806 * [backup-simplify]: Simplify im into im 1.806 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.806 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) 1.806 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 1.806 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.806 * [taylor]: Taking taylor expansion of im in re 1.806 * [backup-simplify]: Simplify im into im 1.806 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.806 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 1.806 * [backup-simplify]: Simplify (+ (exp (/ -1 im)) (exp (/ 1 im))) into (+ (exp (/ -1 im)) (exp (/ 1 im))) 1.806 * [backup-simplify]: Simplify (* (sin (/ 1 re)) (sin (/ 1 re))) into (pow (sin (/ 1 re)) 2) 1.806 * [backup-simplify]: Simplify (* (sin (/ 1 re)) (pow (sin (/ 1 re)) 2)) into (pow (sin (/ 1 re)) 3) 1.806 * [backup-simplify]: Simplify (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (+ (exp (/ -1 im)) (exp (/ 1 im)))) into (pow (+ (exp (/ -1 im)) (exp (/ 1 im))) 2) 1.807 * [backup-simplify]: Simplify (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (pow (+ (exp (/ -1 im)) (exp (/ 1 im))) 2)) into (pow (+ (exp (/ -1 im)) (exp (/ 1 im))) 3) 1.807 * [backup-simplify]: Simplify (* (pow (sin (/ 1 re)) 3) (pow (+ (exp (/ -1 im)) (exp (/ 1 im))) 3)) into (* (pow (sin (/ 1 re)) 3) (pow (+ (exp (/ -1 im)) (exp (/ 1 im))) 3)) 1.807 * [backup-simplify]: Simplify (* (pow (sin (/ 1 re)) 3) (pow (+ (exp (/ -1 im)) (exp (/ 1 im))) 3)) into (* (pow (sin (/ 1 re)) 3) (pow (+ (exp (/ -1 im)) (exp (/ 1 im))) 3)) 1.807 * [backup-simplify]: Simplify (+ 0 0) into 0 1.808 * [backup-simplify]: Simplify (+ 0) into 0 1.808 * [backup-simplify]: Simplify (+ (* (sin (/ 1 re)) 0) (* 0 1)) into 0 1.808 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 1.808 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.809 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (* 0 0)) into 0 1.809 * [backup-simplify]: Simplify (+ 0 0) into 0 1.809 * [backup-simplify]: Simplify (+ (* (sin (/ 1 re)) 0) (* 0 (+ (exp (/ -1 im)) (exp (/ 1 im))))) into 0 1.809 * [backup-simplify]: Simplify (+ (* (* (sin (/ 1 re)) (+ (exp (/ -1 im)) (exp (/ 1 im)))) 0) (* 0 (* (sin (/ 1 re)) (+ (exp (/ -1 im)) (exp (/ 1 im)))))) into 0 1.810 * [backup-simplify]: Simplify (+ (* (* (sin (/ 1 re)) (+ (exp (/ -1 im)) (exp (/ 1 im)))) 0) (* 0 (* (pow (sin (/ 1 re)) 2) (pow (+ (exp (/ -1 im)) (exp (/ 1 im))) 2)))) into 0 1.810 * [taylor]: Taking taylor expansion of 0 in re 1.810 * [backup-simplify]: Simplify 0 into 0 1.810 * [backup-simplify]: Simplify 0 into 0 1.810 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 1.810 * [backup-simplify]: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 1) 1)))) into 0 1.811 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 1.811 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 1) 1)))) into 0 1.811 * [backup-simplify]: Simplify (+ 0 0) into 0 1.812 * [backup-simplify]: Simplify (+ (* (+ (exp (/ -1 im)) (exp (/ 1 im))) 0) (* 0 (+ (exp (/ -1 im)) (exp (/ 1 im))))) into 0 1.812 * [backup-simplify]: Simplify (+ (* (+ (exp (/ -1 im)) (exp (/ 1 im))) 0) (* 0 (pow (+ (exp (/ -1 im)) (exp (/ 1 im))) 2))) into 0 1.812 * [backup-simplify]: Simplify (+ (* (sin (/ 1 re)) 0) (* 0 (sin (/ 1 re)))) into 0 1.812 * [backup-simplify]: Simplify (+ (* (sin (/ 1 re)) 0) (* 0 (pow (sin (/ 1 re)) 2))) into 0 1.812 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 re)) 3) 0) (* 0 (pow (+ (exp (/ -1 im)) (exp (/ 1 im))) 3))) into 0 1.812 * [backup-simplify]: Simplify 0 into 0 1.813 * [backup-simplify]: Simplify (+ 0 0) into 0 1.813 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.814 * [backup-simplify]: Simplify (+ (* (sin (/ 1 re)) 0) (+ (* 0 0) (* 0 1))) into 0 1.814 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 1.814 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.815 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (+ (* 0 0) (* 0 0))) into 0 1.815 * [backup-simplify]: Simplify (+ 0 0) into 0 1.815 * [backup-simplify]: Simplify (+ (* (sin (/ 1 re)) 0) (+ (* 0 0) (* 0 (+ (exp (/ -1 im)) (exp (/ 1 im)))))) into 0 1.816 * [backup-simplify]: Simplify (+ (* (* (sin (/ 1 re)) (+ (exp (/ -1 im)) (exp (/ 1 im)))) 0) (+ (* 0 0) (* 0 (* (sin (/ 1 re)) (+ (exp (/ -1 im)) (exp (/ 1 im))))))) into 0 1.816 * [backup-simplify]: Simplify (+ (* (* (sin (/ 1 re)) (+ (exp (/ -1 im)) (exp (/ 1 im)))) 0) (+ (* 0 0) (* 0 (* (pow (sin (/ 1 re)) 2) (pow (+ (exp (/ -1 im)) (exp (/ 1 im))) 2))))) into 0 1.816 * [taylor]: Taking taylor expansion of 0 in re 1.816 * [backup-simplify]: Simplify 0 into 0 1.816 * [backup-simplify]: Simplify 0 into 0 1.816 * [backup-simplify]: Simplify 0 into 0 1.817 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 1.817 * [backup-simplify]: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.818 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 1.818 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.819 * [backup-simplify]: Simplify (+ 0 0) into 0 1.819 * [backup-simplify]: Simplify (+ (* (+ (exp (/ -1 im)) (exp (/ 1 im))) 0) (+ (* 0 0) (* 0 (+ (exp (/ -1 im)) (exp (/ 1 im)))))) into 0 1.820 * [backup-simplify]: Simplify (+ (* (+ (exp (/ -1 im)) (exp (/ 1 im))) 0) (+ (* 0 0) (* 0 (pow (+ (exp (/ -1 im)) (exp (/ 1 im))) 2)))) into 0 1.820 * [backup-simplify]: Simplify (+ (* (sin (/ 1 re)) 0) (+ (* 0 0) (* 0 (sin (/ 1 re))))) into 0 1.820 * [backup-simplify]: Simplify (+ (* (sin (/ 1 re)) 0) (+ (* 0 0) (* 0 (pow (sin (/ 1 re)) 2)))) into 0 1.821 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 re)) 3) 0) (+ (* 0 0) (* 0 (pow (+ (exp (/ -1 im)) (exp (/ 1 im))) 3)))) into 0 1.821 * [backup-simplify]: Simplify 0 into 0 1.821 * [backup-simplify]: Simplify (+ 0 0) into 0 1.822 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.822 * [backup-simplify]: Simplify (+ (* (sin (/ 1 re)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.822 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)) (* 0 (/ 0 re)))) into 0 1.823 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.824 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.824 * [backup-simplify]: Simplify (+ 0 0) into 0 1.825 * [backup-simplify]: Simplify (+ (* (sin (/ 1 re)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (exp (/ -1 im)) (exp (/ 1 im))))))) into 0 1.825 * [backup-simplify]: Simplify (+ (* (* (sin (/ 1 re)) (+ (exp (/ -1 im)) (exp (/ 1 im)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sin (/ 1 re)) (+ (exp (/ -1 im)) (exp (/ 1 im)))))))) into 0 1.826 * [backup-simplify]: Simplify (+ (* (* (sin (/ 1 re)) (+ (exp (/ -1 im)) (exp (/ 1 im)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (pow (sin (/ 1 re)) 2) (pow (+ (exp (/ -1 im)) (exp (/ 1 im))) 2)))))) into 0 1.826 * [taylor]: Taking taylor expansion of 0 in re 1.826 * [backup-simplify]: Simplify 0 into 0 1.826 * [backup-simplify]: Simplify 0 into 0 1.827 * [backup-simplify]: Simplify (* (pow (sin (/ 1 (/ 1 re))) 3) (pow (+ (exp (/ -1 (/ 1 im))) (exp (/ 1 (/ 1 im)))) 3)) into (* (pow (+ (exp (* -1 im)) (exp im)) 3) (pow (sin re) 3)) 1.827 * [backup-simplify]: Simplify (pow (* (+ (exp (* -1 (/ 1 (- im)))) (exp (/ 1 (- im)))) (sin (/ 1 (- re)))) 3) into (pow (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (sin (/ -1 re))) 3) 1.827 * [approximate]: Taking taylor expansion of (pow (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (sin (/ -1 re))) 3) in (im re) around 0 1.827 * [taylor]: Taking taylor expansion of (pow (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (sin (/ -1 re))) 3) in re 1.827 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (sin (/ -1 re))) in re 1.827 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re 1.827 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 1.827 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.827 * [taylor]: Taking taylor expansion of -1 in re 1.827 * [backup-simplify]: Simplify -1 into -1 1.827 * [taylor]: Taking taylor expansion of im in re 1.827 * [backup-simplify]: Simplify im into im 1.827 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.827 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) 1.827 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 1.827 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.827 * [taylor]: Taking taylor expansion of im in re 1.827 * [backup-simplify]: Simplify im into im 1.827 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.827 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 1.827 * [taylor]: Taking taylor expansion of (sin (/ -1 re)) in re 1.827 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.827 * [taylor]: Taking taylor expansion of -1 in re 1.827 * [backup-simplify]: Simplify -1 into -1 1.828 * [taylor]: Taking taylor expansion of re in re 1.828 * [backup-simplify]: Simplify 0 into 0 1.828 * [backup-simplify]: Simplify 1 into 1 1.828 * [backup-simplify]: Simplify (/ -1 1) into -1 1.828 * [backup-simplify]: Simplify (sin (/ -1 re)) into (sin (/ -1 re)) 1.828 * [backup-simplify]: Simplify (+ (exp (/ -1 im)) (exp (/ 1 im))) into (+ (exp (/ -1 im)) (exp (/ 1 im))) 1.828 * [backup-simplify]: Simplify (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (sin (/ -1 re))) into (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (sin (/ -1 re))) 1.828 * [taylor]: Taking taylor expansion of (pow (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (sin (/ -1 re))) 3) in im 1.828 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (sin (/ -1 re))) in im 1.828 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 1.828 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.828 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.828 * [taylor]: Taking taylor expansion of -1 in im 1.828 * [backup-simplify]: Simplify -1 into -1 1.828 * [taylor]: Taking taylor expansion of im in im 1.828 * [backup-simplify]: Simplify 0 into 0 1.828 * [backup-simplify]: Simplify 1 into 1 1.829 * [backup-simplify]: Simplify (/ -1 1) into -1 1.829 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) 1.829 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.829 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.829 * [taylor]: Taking taylor expansion of im in im 1.829 * [backup-simplify]: Simplify 0 into 0 1.829 * [backup-simplify]: Simplify 1 into 1 1.829 * [backup-simplify]: Simplify (/ 1 1) into 1 1.829 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 1.829 * [taylor]: Taking taylor expansion of (sin (/ -1 re)) in im 1.829 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.829 * [taylor]: Taking taylor expansion of -1 in im 1.829 * [backup-simplify]: Simplify -1 into -1 1.829 * [taylor]: Taking taylor expansion of re in im 1.829 * [backup-simplify]: Simplify re into re 1.829 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 1.829 * [backup-simplify]: Simplify (sin (/ -1 re)) into (sin (/ -1 re)) 1.829 * [backup-simplify]: Simplify (cos (/ -1 re)) into (cos (/ -1 re)) 1.829 * [backup-simplify]: Simplify (+ (exp (/ -1 im)) (exp (/ 1 im))) into (+ (exp (/ -1 im)) (exp (/ 1 im))) 1.830 * [backup-simplify]: Simplify (* (sin (/ -1 re)) 1) into (sin (/ -1 re)) 1.830 * [backup-simplify]: Simplify (* (cos (/ -1 re)) 0) into 0 1.830 * [backup-simplify]: Simplify (+ (sin (/ -1 re)) 0) into (sin (/ -1 re)) 1.830 * [backup-simplify]: Simplify (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (sin (/ -1 re))) into (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (sin (/ -1 re))) 1.830 * [taylor]: Taking taylor expansion of (pow (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (sin (/ -1 re))) 3) in im 1.830 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (sin (/ -1 re))) in im 1.830 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 1.830 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.830 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.830 * [taylor]: Taking taylor expansion of -1 in im 1.830 * [backup-simplify]: Simplify -1 into -1 1.830 * [taylor]: Taking taylor expansion of im in im 1.830 * [backup-simplify]: Simplify 0 into 0 1.830 * [backup-simplify]: Simplify 1 into 1 1.830 * [backup-simplify]: Simplify (/ -1 1) into -1 1.830 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) 1.830 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.831 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.831 * [taylor]: Taking taylor expansion of im in im 1.831 * [backup-simplify]: Simplify 0 into 0 1.831 * [backup-simplify]: Simplify 1 into 1 1.831 * [backup-simplify]: Simplify (/ 1 1) into 1 1.831 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 1.831 * [taylor]: Taking taylor expansion of (sin (/ -1 re)) in im 1.831 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.831 * [taylor]: Taking taylor expansion of -1 in im 1.831 * [backup-simplify]: Simplify -1 into -1 1.831 * [taylor]: Taking taylor expansion of re in im 1.831 * [backup-simplify]: Simplify re into re 1.831 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 1.831 * [backup-simplify]: Simplify (sin (/ -1 re)) into (sin (/ -1 re)) 1.831 * [backup-simplify]: Simplify (cos (/ -1 re)) into (cos (/ -1 re)) 1.831 * [backup-simplify]: Simplify (+ (exp (/ -1 im)) (exp (/ 1 im))) into (+ (exp (/ -1 im)) (exp (/ 1 im))) 1.831 * [backup-simplify]: Simplify (* (sin (/ -1 re)) 1) into (sin (/ -1 re)) 1.831 * [backup-simplify]: Simplify (* (cos (/ -1 re)) 0) into 0 1.831 * [backup-simplify]: Simplify (+ (sin (/ -1 re)) 0) into (sin (/ -1 re)) 1.832 * [backup-simplify]: Simplify (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (sin (/ -1 re))) into (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (sin (/ -1 re))) 1.832 * [backup-simplify]: Simplify (* (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (sin (/ -1 re))) (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (sin (/ -1 re)))) into (* (pow (+ (exp (/ -1 im)) (exp (/ 1 im))) 2) (pow (sin (/ -1 re)) 2)) 1.832 * [backup-simplify]: Simplify (* (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (sin (/ -1 re))) (* (pow (+ (exp (/ -1 im)) (exp (/ 1 im))) 2) (pow (sin (/ -1 re)) 2))) into (* (pow (+ (exp (/ -1 im)) (exp (/ 1 im))) 3) (pow (sin (/ -1 re)) 3)) 1.832 * [taylor]: Taking taylor expansion of (* (pow (+ (exp (/ -1 im)) (exp (/ 1 im))) 3) (pow (sin (/ -1 re)) 3)) in re 1.832 * [taylor]: Taking taylor expansion of (pow (+ (exp (/ -1 im)) (exp (/ 1 im))) 3) in re 1.832 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re 1.832 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 1.832 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.832 * [taylor]: Taking taylor expansion of -1 in re 1.832 * [backup-simplify]: Simplify -1 into -1 1.832 * [taylor]: Taking taylor expansion of im in re 1.832 * [backup-simplify]: Simplify im into im 1.832 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.833 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) 1.833 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 1.833 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.833 * [taylor]: Taking taylor expansion of im in re 1.833 * [backup-simplify]: Simplify im into im 1.833 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.833 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 1.833 * [backup-simplify]: Simplify (+ (exp (/ -1 im)) (exp (/ 1 im))) into (+ (exp (/ -1 im)) (exp (/ 1 im))) 1.833 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 re)) 3) in re 1.833 * [taylor]: Taking taylor expansion of (sin (/ -1 re)) in re 1.833 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.833 * [taylor]: Taking taylor expansion of -1 in re 1.833 * [backup-simplify]: Simplify -1 into -1 1.833 * [taylor]: Taking taylor expansion of re in re 1.833 * [backup-simplify]: Simplify 0 into 0 1.833 * [backup-simplify]: Simplify 1 into 1 1.833 * [backup-simplify]: Simplify (/ -1 1) into -1 1.833 * [backup-simplify]: Simplify (sin (/ -1 re)) into (sin (/ -1 re)) 1.833 * [backup-simplify]: Simplify (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (+ (exp (/ -1 im)) (exp (/ 1 im)))) into (pow (+ (exp (/ -1 im)) (exp (/ 1 im))) 2) 1.834 * [backup-simplify]: Simplify (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (pow (+ (exp (/ -1 im)) (exp (/ 1 im))) 2)) into (pow (+ (exp (/ -1 im)) (exp (/ 1 im))) 3) 1.834 * [backup-simplify]: Simplify (* (sin (/ -1 re)) (sin (/ -1 re))) into (pow (sin (/ -1 re)) 2) 1.834 * [backup-simplify]: Simplify (* (sin (/ -1 re)) (pow (sin (/ -1 re)) 2)) into (pow (sin (/ -1 re)) 3) 1.834 * [backup-simplify]: Simplify (* (pow (+ (exp (/ -1 im)) (exp (/ 1 im))) 3) (pow (sin (/ -1 re)) 3)) into (* (pow (+ (exp (/ -1 im)) (exp (/ 1 im))) 3) (pow (sin (/ -1 re)) 3)) 1.834 * [backup-simplify]: Simplify (* (pow (+ (exp (/ -1 im)) (exp (/ 1 im))) 3) (pow (sin (/ -1 re)) 3)) into (* (pow (+ (exp (/ -1 im)) (exp (/ 1 im))) 3) (pow (sin (/ -1 re)) 3)) 1.835 * [backup-simplify]: Simplify (+ 0) into 0 1.835 * [backup-simplify]: Simplify (+ (* (sin (/ -1 re)) 0) (* 0 1)) into 0 1.835 * [backup-simplify]: Simplify (- (/ 0 re) (+ (* (/ -1 re) (/ 0 re)))) into 0 1.836 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.836 * [backup-simplify]: Simplify (+ (* (cos (/ -1 re)) 0) (* 0 0)) into 0 1.836 * [backup-simplify]: Simplify (+ 0 0) into 0 1.837 * [backup-simplify]: Simplify (+ 0 0) into 0 1.837 * [backup-simplify]: Simplify (+ (* (+ (exp (/ -1 im)) (exp (/ 1 im))) 0) (* 0 (sin (/ -1 re)))) into 0 1.837 * [backup-simplify]: Simplify (+ (* (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (sin (/ -1 re))) 0) (* 0 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (sin (/ -1 re))))) into 0 1.838 * [backup-simplify]: Simplify (+ (* (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (sin (/ -1 re))) 0) (* 0 (* (pow (+ (exp (/ -1 im)) (exp (/ 1 im))) 2) (pow (sin (/ -1 re)) 2)))) into 0 1.838 * [taylor]: Taking taylor expansion of 0 in re 1.838 * [backup-simplify]: Simplify 0 into 0 1.838 * [backup-simplify]: Simplify 0 into 0 1.838 * [backup-simplify]: Simplify (+ (* (sin (/ -1 re)) 0) (* 0 (sin (/ -1 re)))) into 0 1.838 * [backup-simplify]: Simplify (+ (* (sin (/ -1 re)) 0) (* 0 (pow (sin (/ -1 re)) 2))) into 0 1.838 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 1.839 * [backup-simplify]: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 1) 1)))) into 0 1.839 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 1.839 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 1) 1)))) into 0 1.839 * [backup-simplify]: Simplify (+ 0 0) into 0 1.840 * [backup-simplify]: Simplify (+ (* (+ (exp (/ -1 im)) (exp (/ 1 im))) 0) (* 0 (+ (exp (/ -1 im)) (exp (/ 1 im))))) into 0 1.840 * [backup-simplify]: Simplify (+ (* (+ (exp (/ -1 im)) (exp (/ 1 im))) 0) (* 0 (pow (+ (exp (/ -1 im)) (exp (/ 1 im))) 2))) into 0 1.840 * [backup-simplify]: Simplify (+ (* (pow (+ (exp (/ -1 im)) (exp (/ 1 im))) 3) 0) (* 0 (pow (sin (/ -1 re)) 3))) into 0 1.840 * [backup-simplify]: Simplify 0 into 0 1.841 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.841 * [backup-simplify]: Simplify (+ (* (sin (/ -1 re)) 0) (+ (* 0 0) (* 0 1))) into 0 1.842 * [backup-simplify]: Simplify (- (/ 0 re) (+ (* (/ -1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 1.842 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.842 * [backup-simplify]: Simplify (+ (* (cos (/ -1 re)) 0) (+ (* 0 0) (* 0 0))) into 0 1.843 * [backup-simplify]: Simplify (+ 0 0) into 0 1.843 * [backup-simplify]: Simplify (+ 0 0) into 0 1.843 * [backup-simplify]: Simplify (+ (* (+ (exp (/ -1 im)) (exp (/ 1 im))) 0) (+ (* 0 0) (* 0 (sin (/ -1 re))))) into 0 1.844 * [backup-simplify]: Simplify (+ (* (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (sin (/ -1 re))) 0) (+ (* 0 0) (* 0 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (sin (/ -1 re)))))) into 0 1.845 * [backup-simplify]: Simplify (+ (* (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (sin (/ -1 re))) 0) (+ (* 0 0) (* 0 (* (pow (+ (exp (/ -1 im)) (exp (/ 1 im))) 2) (pow (sin (/ -1 re)) 2))))) into 0 1.845 * [taylor]: Taking taylor expansion of 0 in re 1.845 * [backup-simplify]: Simplify 0 into 0 1.845 * [backup-simplify]: Simplify 0 into 0 1.845 * [backup-simplify]: Simplify 0 into 0 1.845 * [backup-simplify]: Simplify (+ (* (sin (/ -1 re)) 0) (+ (* 0 0) (* 0 (sin (/ -1 re))))) into 0 1.846 * [backup-simplify]: Simplify (+ (* (sin (/ -1 re)) 0) (+ (* 0 0) (* 0 (pow (sin (/ -1 re)) 2)))) into 0 1.846 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 1.847 * [backup-simplify]: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.847 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 1.848 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.848 * [backup-simplify]: Simplify (+ 0 0) into 0 1.848 * [backup-simplify]: Simplify (+ (* (+ (exp (/ -1 im)) (exp (/ 1 im))) 0) (+ (* 0 0) (* 0 (+ (exp (/ -1 im)) (exp (/ 1 im)))))) into 0 1.849 * [backup-simplify]: Simplify (+ (* (+ (exp (/ -1 im)) (exp (/ 1 im))) 0) (+ (* 0 0) (* 0 (pow (+ (exp (/ -1 im)) (exp (/ 1 im))) 2)))) into 0 1.849 * [backup-simplify]: Simplify (+ (* (pow (+ (exp (/ -1 im)) (exp (/ 1 im))) 3) 0) (+ (* 0 0) (* 0 (pow (sin (/ -1 re)) 3)))) into 0 1.849 * [backup-simplify]: Simplify 0 into 0 1.850 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.850 * [backup-simplify]: Simplify (+ (* (sin (/ -1 re)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.851 * [backup-simplify]: Simplify (- (/ 0 re) (+ (* (/ -1 re) (/ 0 re)) (* 0 (/ 0 re)) (* 0 (/ 0 re)))) into 0 1.852 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.852 * [backup-simplify]: Simplify (+ (* (cos (/ -1 re)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.852 * [backup-simplify]: Simplify (+ 0 0) into 0 1.852 * [backup-simplify]: Simplify (+ 0 0) into 0 1.853 * [backup-simplify]: Simplify (+ (* (+ (exp (/ -1 im)) (exp (/ 1 im))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 re)))))) into 0 1.854 * [backup-simplify]: Simplify (+ (* (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (sin (/ -1 re))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (sin (/ -1 re))))))) into 0 1.855 * [backup-simplify]: Simplify (+ (* (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (sin (/ -1 re))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (pow (+ (exp (/ -1 im)) (exp (/ 1 im))) 2) (pow (sin (/ -1 re)) 2)))))) into 0 1.855 * [taylor]: Taking taylor expansion of 0 in re 1.855 * [backup-simplify]: Simplify 0 into 0 1.855 * [backup-simplify]: Simplify 0 into 0 1.855 * [backup-simplify]: Simplify (* (pow (+ (exp (/ -1 (/ 1 (- im)))) (exp (/ 1 (/ 1 (- im))))) 3) (pow (sin (/ -1 (/ 1 (- re)))) 3)) into (* (pow (+ (exp (* -1 im)) (exp im)) 3) (pow (sin re) 3)) 1.855 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1) 1.855 * [backup-simplify]: Simplify (* (+ (exp (* -1 im)) (exp im)) (sin re)) into (* (+ (exp (* -1 im)) (exp im)) (sin re)) 1.855 * [approximate]: Taking taylor expansion of (* (+ (exp (* -1 im)) (exp im)) (sin re)) in (im re) around 0 1.855 * [taylor]: Taking taylor expansion of (* (+ (exp (* -1 im)) (exp im)) (sin re)) in re 1.855 * [taylor]: Taking taylor expansion of (+ (exp (* -1 im)) (exp im)) in re 1.855 * [taylor]: Taking taylor expansion of (exp (* -1 im)) in re 1.855 * [taylor]: Taking taylor expansion of (* -1 im) in re 1.855 * [taylor]: Taking taylor expansion of -1 in re 1.855 * [backup-simplify]: Simplify -1 into -1 1.855 * [taylor]: Taking taylor expansion of im in re 1.855 * [backup-simplify]: Simplify im into im 1.855 * [backup-simplify]: Simplify (* -1 im) into (* -1 im) 1.855 * [backup-simplify]: Simplify (exp (* -1 im)) into (exp (* -1 im)) 1.855 * [taylor]: Taking taylor expansion of (exp im) in re 1.856 * [taylor]: Taking taylor expansion of im in re 1.856 * [backup-simplify]: Simplify im into im 1.856 * [backup-simplify]: Simplify (exp im) into (exp im) 1.856 * [taylor]: Taking taylor expansion of (sin re) in re 1.856 * [taylor]: Taking taylor expansion of re in re 1.856 * [backup-simplify]: Simplify 0 into 0 1.856 * [backup-simplify]: Simplify 1 into 1 1.856 * [taylor]: Taking taylor expansion of (* (+ (exp (* -1 im)) (exp im)) (sin re)) in im 1.856 * [taylor]: Taking taylor expansion of (+ (exp (* -1 im)) (exp im)) in im 1.856 * [taylor]: Taking taylor expansion of (exp (* -1 im)) in im 1.856 * [taylor]: Taking taylor expansion of (* -1 im) in im 1.856 * [taylor]: Taking taylor expansion of -1 in im 1.856 * [backup-simplify]: Simplify -1 into -1 1.856 * [taylor]: Taking taylor expansion of im in im 1.856 * [backup-simplify]: Simplify 0 into 0 1.856 * [backup-simplify]: Simplify 1 into 1 1.856 * [backup-simplify]: Simplify (* -1 0) into 0 1.856 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 0)) into -1 1.857 * [backup-simplify]: Simplify (exp 0) into 1 1.857 * [taylor]: Taking taylor expansion of (exp im) in im 1.857 * [taylor]: Taking taylor expansion of im in im 1.857 * [backup-simplify]: Simplify 0 into 0 1.857 * [backup-simplify]: Simplify 1 into 1 1.857 * [backup-simplify]: Simplify (exp 0) into 1 1.857 * [taylor]: Taking taylor expansion of (sin re) in im 1.857 * [taylor]: Taking taylor expansion of re in im 1.857 * [backup-simplify]: Simplify re into re 1.857 * [backup-simplify]: Simplify (sin re) into (sin re) 1.857 * [backup-simplify]: Simplify (cos re) into (cos re) 1.857 * [taylor]: Taking taylor expansion of (* (+ (exp (* -1 im)) (exp im)) (sin re)) in im 1.857 * [taylor]: Taking taylor expansion of (+ (exp (* -1 im)) (exp im)) in im 1.857 * [taylor]: Taking taylor expansion of (exp (* -1 im)) in im 1.857 * [taylor]: Taking taylor expansion of (* -1 im) in im 1.857 * [taylor]: Taking taylor expansion of -1 in im 1.857 * [backup-simplify]: Simplify -1 into -1 1.857 * [taylor]: Taking taylor expansion of im in im 1.857 * [backup-simplify]: Simplify 0 into 0 1.857 * [backup-simplify]: Simplify 1 into 1 1.857 * [backup-simplify]: Simplify (* -1 0) into 0 1.858 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 0)) into -1 1.858 * [backup-simplify]: Simplify (exp 0) into 1 1.858 * [taylor]: Taking taylor expansion of (exp im) in im 1.858 * [taylor]: Taking taylor expansion of im in im 1.858 * [backup-simplify]: Simplify 0 into 0 1.858 * [backup-simplify]: Simplify 1 into 1 1.858 * [backup-simplify]: Simplify (exp 0) into 1 1.858 * [taylor]: Taking taylor expansion of (sin re) in im 1.858 * [taylor]: Taking taylor expansion of re in im 1.858 * [backup-simplify]: Simplify re into re 1.858 * [backup-simplify]: Simplify (sin re) into (sin re) 1.858 * [backup-simplify]: Simplify (cos re) into (cos re) 1.858 * [backup-simplify]: Simplify (+ 1 1) into 2 1.858 * [backup-simplify]: Simplify (* (sin re) 1) into (sin re) 1.858 * [backup-simplify]: Simplify (* (cos re) 0) into 0 1.858 * [backup-simplify]: Simplify (+ (sin re) 0) into (sin re) 1.858 * [backup-simplify]: Simplify (* 2 (sin re)) into (* 2 (sin re)) 1.858 * [taylor]: Taking taylor expansion of (* 2 (sin re)) in re 1.858 * [taylor]: Taking taylor expansion of 2 in re 1.858 * [backup-simplify]: Simplify 2 into 2 1.858 * [taylor]: Taking taylor expansion of (sin re) in re 1.858 * [taylor]: Taking taylor expansion of re in re 1.858 * [backup-simplify]: Simplify 0 into 0 1.858 * [backup-simplify]: Simplify 1 into 1 1.859 * [backup-simplify]: Simplify (* 2 0) into 0 1.859 * [backup-simplify]: Simplify 0 into 0 1.859 * [backup-simplify]: Simplify (+ 0) into 0 1.859 * [backup-simplify]: Simplify (+ (* (sin re) 0) (* 0 1)) into 0 1.860 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.860 * [backup-simplify]: Simplify (+ (* (cos re) 0) (* 0 0)) into 0 1.860 * [backup-simplify]: Simplify (+ 0 0) into 0 1.861 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1 1.862 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 1.862 * [backup-simplify]: Simplify (+ -1 1) into 0 1.862 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (sin re))) into 0 1.862 * [taylor]: Taking taylor expansion of 0 in re 1.862 * [backup-simplify]: Simplify 0 into 0 1.862 * [backup-simplify]: Simplify 0 into 0 1.863 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 1.863 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 1.863 * [backup-simplify]: Simplify 2 into 2 1.864 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.864 * [backup-simplify]: Simplify (+ (* (sin re) 0) (+ (* 0 0) (* 0 1))) into 0 1.865 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.865 * [backup-simplify]: Simplify (+ (* (cos re) 0) (+ (* 0 0) (* 0 0))) into 0 1.865 * [backup-simplify]: Simplify (+ 0 0) into 0 1.866 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 0))) into 0 1.867 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 1.868 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 1.871 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 1.871 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 1 (sin re)))) into (sin re) 1.871 * [taylor]: Taking taylor expansion of (sin re) in re 1.871 * [taylor]: Taking taylor expansion of re in re 1.871 * [backup-simplify]: Simplify 0 into 0 1.871 * [backup-simplify]: Simplify 1 into 1 1.871 * [backup-simplify]: Simplify 0 into 0 1.871 * [backup-simplify]: Simplify 0 into 0 1.872 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.873 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1.873 * [backup-simplify]: Simplify 0 into 0 1.873 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.874 * [backup-simplify]: Simplify (+ (* (sin re) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.875 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.875 * [backup-simplify]: Simplify (+ (* (cos re) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.875 * [backup-simplify]: Simplify (+ 0 0) into 0 1.876 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.878 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 3) 6)) (* (/ (pow -1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into -1/6 1.879 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 1/6 1.879 * [backup-simplify]: Simplify (+ -1/6 1/6) into 0 1.880 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 1 0) (* 0 (sin re))))) into 0 1.880 * [taylor]: Taking taylor expansion of 0 in re 1.880 * [backup-simplify]: Simplify 0 into 0 1.880 * [backup-simplify]: Simplify 0 into 0 1.881 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 1.881 * [backup-simplify]: Simplify 1 into 1 1.881 * [backup-simplify]: Simplify 0 into 0 1.882 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 1.883 * [backup-simplify]: Simplify (+ (* 2 -1/6) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into -1/3 1.883 * [backup-simplify]: Simplify -1/3 into -1/3 1.883 * [backup-simplify]: Simplify (+ (* -1/3 (pow (* re 1) 3)) (+ (* 1 (* re (pow im 2))) (* 2 (* re 1)))) into (- (+ (* 2 re) (* re (pow im 2))) (* 1/3 (pow re 3))) 1.883 * [backup-simplify]: Simplify (* (+ (exp (* -1 (/ 1 im))) (exp (/ 1 im))) (sin (/ 1 re))) into (* (sin (/ 1 re)) (+ (exp (/ -1 im)) (exp (/ 1 im)))) 1.883 * [approximate]: Taking taylor expansion of (* (sin (/ 1 re)) (+ (exp (/ -1 im)) (exp (/ 1 im)))) in (im re) around 0 1.883 * [taylor]: Taking taylor expansion of (* (sin (/ 1 re)) (+ (exp (/ -1 im)) (exp (/ 1 im)))) in re 1.883 * [taylor]: Taking taylor expansion of (sin (/ 1 re)) in re 1.883 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.883 * [taylor]: Taking taylor expansion of re in re 1.883 * [backup-simplify]: Simplify 0 into 0 1.883 * [backup-simplify]: Simplify 1 into 1 1.884 * [backup-simplify]: Simplify (/ 1 1) into 1 1.884 * [backup-simplify]: Simplify (sin (/ 1 re)) into (sin (/ 1 re)) 1.884 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re 1.884 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 1.884 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.884 * [taylor]: Taking taylor expansion of -1 in re 1.884 * [backup-simplify]: Simplify -1 into -1 1.884 * [taylor]: Taking taylor expansion of im in re 1.884 * [backup-simplify]: Simplify im into im 1.884 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.884 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) 1.884 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 1.884 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.884 * [taylor]: Taking taylor expansion of im in re 1.884 * [backup-simplify]: Simplify im into im 1.884 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.884 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 1.884 * [taylor]: Taking taylor expansion of (* (sin (/ 1 re)) (+ (exp (/ -1 im)) (exp (/ 1 im)))) in im 1.884 * [taylor]: Taking taylor expansion of (sin (/ 1 re)) in im 1.884 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.884 * [taylor]: Taking taylor expansion of re in im 1.884 * [backup-simplify]: Simplify re into re 1.884 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.884 * [backup-simplify]: Simplify (sin (/ 1 re)) into (sin (/ 1 re)) 1.884 * [backup-simplify]: Simplify (cos (/ 1 re)) into (cos (/ 1 re)) 1.884 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 1.884 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.884 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.884 * [taylor]: Taking taylor expansion of -1 in im 1.884 * [backup-simplify]: Simplify -1 into -1 1.884 * [taylor]: Taking taylor expansion of im in im 1.884 * [backup-simplify]: Simplify 0 into 0 1.884 * [backup-simplify]: Simplify 1 into 1 1.885 * [backup-simplify]: Simplify (/ -1 1) into -1 1.885 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) 1.885 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.885 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.885 * [taylor]: Taking taylor expansion of im in im 1.885 * [backup-simplify]: Simplify 0 into 0 1.885 * [backup-simplify]: Simplify 1 into 1 1.885 * [backup-simplify]: Simplify (/ 1 1) into 1 1.885 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 1.885 * [taylor]: Taking taylor expansion of (* (sin (/ 1 re)) (+ (exp (/ -1 im)) (exp (/ 1 im)))) in im 1.885 * [taylor]: Taking taylor expansion of (sin (/ 1 re)) in im 1.885 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.885 * [taylor]: Taking taylor expansion of re in im 1.885 * [backup-simplify]: Simplify re into re 1.885 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.885 * [backup-simplify]: Simplify (sin (/ 1 re)) into (sin (/ 1 re)) 1.885 * [backup-simplify]: Simplify (cos (/ 1 re)) into (cos (/ 1 re)) 1.885 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 1.885 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.885 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.885 * [taylor]: Taking taylor expansion of -1 in im 1.885 * [backup-simplify]: Simplify -1 into -1 1.885 * [taylor]: Taking taylor expansion of im in im 1.885 * [backup-simplify]: Simplify 0 into 0 1.885 * [backup-simplify]: Simplify 1 into 1 1.886 * [backup-simplify]: Simplify (/ -1 1) into -1 1.886 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) 1.886 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.886 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.886 * [taylor]: Taking taylor expansion of im in im 1.886 * [backup-simplify]: Simplify 0 into 0 1.886 * [backup-simplify]: Simplify 1 into 1 1.886 * [backup-simplify]: Simplify (/ 1 1) into 1 1.886 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 1.886 * [backup-simplify]: Simplify (* (sin (/ 1 re)) 1) into (sin (/ 1 re)) 1.886 * [backup-simplify]: Simplify (* (cos (/ 1 re)) 0) into 0 1.886 * [backup-simplify]: Simplify (+ (sin (/ 1 re)) 0) into (sin (/ 1 re)) 1.886 * [backup-simplify]: Simplify (+ (exp (/ -1 im)) (exp (/ 1 im))) into (+ (exp (/ -1 im)) (exp (/ 1 im))) 1.887 * [backup-simplify]: Simplify (* (sin (/ 1 re)) (+ (exp (/ -1 im)) (exp (/ 1 im)))) into (* (sin (/ 1 re)) (+ (exp (/ -1 im)) (exp (/ 1 im)))) 1.887 * [taylor]: Taking taylor expansion of (* (sin (/ 1 re)) (+ (exp (/ -1 im)) (exp (/ 1 im)))) in re 1.887 * [taylor]: Taking taylor expansion of (sin (/ 1 re)) in re 1.887 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.887 * [taylor]: Taking taylor expansion of re in re 1.887 * [backup-simplify]: Simplify 0 into 0 1.887 * [backup-simplify]: Simplify 1 into 1 1.887 * [backup-simplify]: Simplify (/ 1 1) into 1 1.887 * [backup-simplify]: Simplify (sin (/ 1 re)) into (sin (/ 1 re)) 1.887 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re 1.887 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 1.887 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.887 * [taylor]: Taking taylor expansion of -1 in re 1.887 * [backup-simplify]: Simplify -1 into -1 1.887 * [taylor]: Taking taylor expansion of im in re 1.887 * [backup-simplify]: Simplify im into im 1.887 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.887 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) 1.887 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 1.887 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.887 * [taylor]: Taking taylor expansion of im in re 1.887 * [backup-simplify]: Simplify im into im 1.888 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.888 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 1.888 * [backup-simplify]: Simplify (+ (exp (/ -1 im)) (exp (/ 1 im))) into (+ (exp (/ -1 im)) (exp (/ 1 im))) 1.888 * [backup-simplify]: Simplify (* (sin (/ 1 re)) (+ (exp (/ -1 im)) (exp (/ 1 im)))) into (* (sin (/ 1 re)) (+ (exp (/ -1 im)) (exp (/ 1 im)))) 1.888 * [backup-simplify]: Simplify (* (sin (/ 1 re)) (+ (exp (/ -1 im)) (exp (/ 1 im)))) into (* (sin (/ 1 re)) (+ (exp (/ -1 im)) (exp (/ 1 im)))) 1.888 * [backup-simplify]: Simplify (+ 0 0) into 0 1.888 * [backup-simplify]: Simplify (+ 0) into 0 1.889 * [backup-simplify]: Simplify (+ (* (sin (/ 1 re)) 0) (* 0 1)) into 0 1.889 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 1.889 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.890 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (* 0 0)) into 0 1.890 * [backup-simplify]: Simplify (+ 0 0) into 0 1.890 * [backup-simplify]: Simplify (+ (* (sin (/ 1 re)) 0) (* 0 (+ (exp (/ -1 im)) (exp (/ 1 im))))) into 0 1.890 * [taylor]: Taking taylor expansion of 0 in re 1.890 * [backup-simplify]: Simplify 0 into 0 1.890 * [backup-simplify]: Simplify 0 into 0 1.890 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 1.891 * [backup-simplify]: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 1) 1)))) into 0 1.891 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 1.891 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 1) 1)))) into 0 1.892 * [backup-simplify]: Simplify (+ 0 0) into 0 1.892 * [backup-simplify]: Simplify (+ (* (sin (/ 1 re)) 0) (* 0 (+ (exp (/ -1 im)) (exp (/ 1 im))))) into 0 1.892 * [backup-simplify]: Simplify 0 into 0 1.892 * [backup-simplify]: Simplify (+ 0 0) into 0 1.893 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.893 * [backup-simplify]: Simplify (+ (* (sin (/ 1 re)) 0) (+ (* 0 0) (* 0 1))) into 0 1.893 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 1.894 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.894 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (+ (* 0 0) (* 0 0))) into 0 1.894 * [backup-simplify]: Simplify (+ 0 0) into 0 1.895 * [backup-simplify]: Simplify (+ (* (sin (/ 1 re)) 0) (+ (* 0 0) (* 0 (+ (exp (/ -1 im)) (exp (/ 1 im)))))) into 0 1.895 * [taylor]: Taking taylor expansion of 0 in re 1.895 * [backup-simplify]: Simplify 0 into 0 1.895 * [backup-simplify]: Simplify 0 into 0 1.895 * [backup-simplify]: Simplify 0 into 0 1.895 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 1.896 * [backup-simplify]: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.896 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 1.897 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.897 * [backup-simplify]: Simplify (+ 0 0) into 0 1.898 * [backup-simplify]: Simplify (+ (* (sin (/ 1 re)) 0) (+ (* 0 0) (* 0 (+ (exp (/ -1 im)) (exp (/ 1 im)))))) into 0 1.898 * [backup-simplify]: Simplify 0 into 0 1.898 * [backup-simplify]: Simplify (+ 0 0) into 0 1.899 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.899 * [backup-simplify]: Simplify (+ (* (sin (/ 1 re)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.899 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)) (* 0 (/ 0 re)))) into 0 1.900 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.901 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.901 * [backup-simplify]: Simplify (+ 0 0) into 0 1.902 * [backup-simplify]: Simplify (+ (* (sin (/ 1 re)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (exp (/ -1 im)) (exp (/ 1 im))))))) into 0 1.902 * [taylor]: Taking taylor expansion of 0 in re 1.902 * [backup-simplify]: Simplify 0 into 0 1.902 * [backup-simplify]: Simplify 0 into 0 1.902 * [backup-simplify]: Simplify (* (sin (/ 1 (/ 1 re))) (+ (exp (/ -1 (/ 1 im))) (exp (/ 1 (/ 1 im))))) into (* (+ (exp (* -1 im)) (exp im)) (sin re)) 1.902 * [backup-simplify]: Simplify (* (+ (exp (* -1 (/ 1 (- im)))) (exp (/ 1 (- im)))) (sin (/ 1 (- re)))) into (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (sin (/ -1 re))) 1.902 * [approximate]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (sin (/ -1 re))) in (im re) around 0 1.902 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (sin (/ -1 re))) in re 1.902 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re 1.902 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 1.902 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.902 * [taylor]: Taking taylor expansion of -1 in re 1.902 * [backup-simplify]: Simplify -1 into -1 1.902 * [taylor]: Taking taylor expansion of im in re 1.902 * [backup-simplify]: Simplify im into im 1.902 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.902 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) 1.902 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 1.902 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.902 * [taylor]: Taking taylor expansion of im in re 1.902 * [backup-simplify]: Simplify im into im 1.902 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.902 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 1.902 * [taylor]: Taking taylor expansion of (sin (/ -1 re)) in re 1.903 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.903 * [taylor]: Taking taylor expansion of -1 in re 1.903 * [backup-simplify]: Simplify -1 into -1 1.903 * [taylor]: Taking taylor expansion of re in re 1.903 * [backup-simplify]: Simplify 0 into 0 1.903 * [backup-simplify]: Simplify 1 into 1 1.903 * [backup-simplify]: Simplify (/ -1 1) into -1 1.903 * [backup-simplify]: Simplify (sin (/ -1 re)) into (sin (/ -1 re)) 1.903 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (sin (/ -1 re))) in im 1.903 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 1.903 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.903 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.903 * [taylor]: Taking taylor expansion of -1 in im 1.903 * [backup-simplify]: Simplify -1 into -1 1.903 * [taylor]: Taking taylor expansion of im in im 1.903 * [backup-simplify]: Simplify 0 into 0 1.903 * [backup-simplify]: Simplify 1 into 1 1.903 * [backup-simplify]: Simplify (/ -1 1) into -1 1.903 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) 1.903 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.903 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.903 * [taylor]: Taking taylor expansion of im in im 1.904 * [backup-simplify]: Simplify 0 into 0 1.904 * [backup-simplify]: Simplify 1 into 1 1.904 * [backup-simplify]: Simplify (/ 1 1) into 1 1.904 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 1.904 * [taylor]: Taking taylor expansion of (sin (/ -1 re)) in im 1.904 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.904 * [taylor]: Taking taylor expansion of -1 in im 1.904 * [backup-simplify]: Simplify -1 into -1 1.904 * [taylor]: Taking taylor expansion of re in im 1.904 * [backup-simplify]: Simplify re into re 1.904 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 1.904 * [backup-simplify]: Simplify (sin (/ -1 re)) into (sin (/ -1 re)) 1.904 * [backup-simplify]: Simplify (cos (/ -1 re)) into (cos (/ -1 re)) 1.904 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (sin (/ -1 re))) in im 1.904 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 1.904 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.904 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.904 * [taylor]: Taking taylor expansion of -1 in im 1.904 * [backup-simplify]: Simplify -1 into -1 1.904 * [taylor]: Taking taylor expansion of im in im 1.904 * [backup-simplify]: Simplify 0 into 0 1.904 * [backup-simplify]: Simplify 1 into 1 1.905 * [backup-simplify]: Simplify (/ -1 1) into -1 1.905 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) 1.905 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.905 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.905 * [taylor]: Taking taylor expansion of im in im 1.905 * [backup-simplify]: Simplify 0 into 0 1.905 * [backup-simplify]: Simplify 1 into 1 1.905 * [backup-simplify]: Simplify (/ 1 1) into 1 1.905 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 1.905 * [taylor]: Taking taylor expansion of (sin (/ -1 re)) in im 1.905 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.905 * [taylor]: Taking taylor expansion of -1 in im 1.905 * [backup-simplify]: Simplify -1 into -1 1.905 * [taylor]: Taking taylor expansion of re in im 1.905 * [backup-simplify]: Simplify re into re 1.905 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 1.905 * [backup-simplify]: Simplify (sin (/ -1 re)) into (sin (/ -1 re)) 1.905 * [backup-simplify]: Simplify (cos (/ -1 re)) into (cos (/ -1 re)) 1.905 * [backup-simplify]: Simplify (+ (exp (/ -1 im)) (exp (/ 1 im))) into (+ (exp (/ -1 im)) (exp (/ 1 im))) 1.905 * [backup-simplify]: Simplify (* (sin (/ -1 re)) 1) into (sin (/ -1 re)) 1.906 * [backup-simplify]: Simplify (* (cos (/ -1 re)) 0) into 0 1.906 * [backup-simplify]: Simplify (+ (sin (/ -1 re)) 0) into (sin (/ -1 re)) 1.906 * [backup-simplify]: Simplify (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (sin (/ -1 re))) into (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (sin (/ -1 re))) 1.906 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (sin (/ -1 re))) in re 1.906 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re 1.906 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 1.906 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.906 * [taylor]: Taking taylor expansion of -1 in re 1.906 * [backup-simplify]: Simplify -1 into -1 1.906 * [taylor]: Taking taylor expansion of im in re 1.906 * [backup-simplify]: Simplify im into im 1.906 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.906 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) 1.906 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 1.906 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.906 * [taylor]: Taking taylor expansion of im in re 1.906 * [backup-simplify]: Simplify im into im 1.906 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.906 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 1.906 * [taylor]: Taking taylor expansion of (sin (/ -1 re)) in re 1.906 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.906 * [taylor]: Taking taylor expansion of -1 in re 1.906 * [backup-simplify]: Simplify -1 into -1 1.906 * [taylor]: Taking taylor expansion of re in re 1.906 * [backup-simplify]: Simplify 0 into 0 1.906 * [backup-simplify]: Simplify 1 into 1 1.907 * [backup-simplify]: Simplify (/ -1 1) into -1 1.907 * [backup-simplify]: Simplify (sin (/ -1 re)) into (sin (/ -1 re)) 1.907 * [backup-simplify]: Simplify (+ (exp (/ -1 im)) (exp (/ 1 im))) into (+ (exp (/ -1 im)) (exp (/ 1 im))) 1.907 * [backup-simplify]: Simplify (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (sin (/ -1 re))) into (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (sin (/ -1 re))) 1.907 * [backup-simplify]: Simplify (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (sin (/ -1 re))) into (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (sin (/ -1 re))) 1.907 * [backup-simplify]: Simplify (+ 0) into 0 1.908 * [backup-simplify]: Simplify (+ (* (sin (/ -1 re)) 0) (* 0 1)) into 0 1.908 * [backup-simplify]: Simplify (- (/ 0 re) (+ (* (/ -1 re) (/ 0 re)))) into 0 1.908 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.909 * [backup-simplify]: Simplify (+ (* (cos (/ -1 re)) 0) (* 0 0)) into 0 1.909 * [backup-simplify]: Simplify (+ 0 0) into 0 1.909 * [backup-simplify]: Simplify (+ 0 0) into 0 1.909 * [backup-simplify]: Simplify (+ (* (+ (exp (/ -1 im)) (exp (/ 1 im))) 0) (* 0 (sin (/ -1 re)))) into 0 1.909 * [taylor]: Taking taylor expansion of 0 in re 1.909 * [backup-simplify]: Simplify 0 into 0 1.909 * [backup-simplify]: Simplify 0 into 0 1.909 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 1.910 * [backup-simplify]: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 1) 1)))) into 0 1.910 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 1.911 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 1) 1)))) into 0 1.911 * [backup-simplify]: Simplify (+ 0 0) into 0 1.911 * [backup-simplify]: Simplify (+ (* (+ (exp (/ -1 im)) (exp (/ 1 im))) 0) (* 0 (sin (/ -1 re)))) into 0 1.911 * [backup-simplify]: Simplify 0 into 0 1.912 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.912 * [backup-simplify]: Simplify (+ (* (sin (/ -1 re)) 0) (+ (* 0 0) (* 0 1))) into 0 1.912 * [backup-simplify]: Simplify (- (/ 0 re) (+ (* (/ -1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 1.913 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.913 * [backup-simplify]: Simplify (+ (* (cos (/ -1 re)) 0) (+ (* 0 0) (* 0 0))) into 0 1.913 * [backup-simplify]: Simplify (+ 0 0) into 0 1.914 * [backup-simplify]: Simplify (+ 0 0) into 0 1.914 * [backup-simplify]: Simplify (+ (* (+ (exp (/ -1 im)) (exp (/ 1 im))) 0) (+ (* 0 0) (* 0 (sin (/ -1 re))))) into 0 1.914 * [taylor]: Taking taylor expansion of 0 in re 1.914 * [backup-simplify]: Simplify 0 into 0 1.914 * [backup-simplify]: Simplify 0 into 0 1.914 * [backup-simplify]: Simplify 0 into 0 1.914 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 1.915 * [backup-simplify]: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.915 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 1.916 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.916 * [backup-simplify]: Simplify (+ 0 0) into 0 1.917 * [backup-simplify]: Simplify (+ (* (+ (exp (/ -1 im)) (exp (/ 1 im))) 0) (+ (* 0 0) (* 0 (sin (/ -1 re))))) into 0 1.917 * [backup-simplify]: Simplify 0 into 0 1.917 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.918 * [backup-simplify]: Simplify (+ (* (sin (/ -1 re)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.918 * [backup-simplify]: Simplify (- (/ 0 re) (+ (* (/ -1 re) (/ 0 re)) (* 0 (/ 0 re)) (* 0 (/ 0 re)))) into 0 1.919 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.919 * [backup-simplify]: Simplify (+ (* (cos (/ -1 re)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.920 * [backup-simplify]: Simplify (+ 0 0) into 0 1.920 * [backup-simplify]: Simplify (+ 0 0) into 0 1.920 * [backup-simplify]: Simplify (+ (* (+ (exp (/ -1 im)) (exp (/ 1 im))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 re)))))) into 0 1.920 * [taylor]: Taking taylor expansion of 0 in re 1.920 * [backup-simplify]: Simplify 0 into 0 1.920 * [backup-simplify]: Simplify 0 into 0 1.921 * [backup-simplify]: Simplify (* (+ (exp (/ -1 (/ 1 (- im)))) (exp (/ 1 (/ 1 (- im))))) (sin (/ -1 (/ 1 (- re))))) into (* (+ (exp (* -1 im)) (exp im)) (sin re)) 1.921 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 1) 1.921 * [backup-simplify]: Simplify (+ (exp (* -1 im)) (exp im)) into (+ (exp (* -1 im)) (exp im)) 1.921 * [approximate]: Taking taylor expansion of (+ (exp (* -1 im)) (exp im)) in (im) around 0 1.921 * [taylor]: Taking taylor expansion of (+ (exp (* -1 im)) (exp im)) in im 1.921 * [taylor]: Taking taylor expansion of (exp (* -1 im)) in im 1.921 * [taylor]: Taking taylor expansion of (* -1 im) in im 1.921 * [taylor]: Taking taylor expansion of -1 in im 1.921 * [backup-simplify]: Simplify -1 into -1 1.921 * [taylor]: Taking taylor expansion of im in im 1.921 * [backup-simplify]: Simplify 0 into 0 1.921 * [backup-simplify]: Simplify 1 into 1 1.921 * [backup-simplify]: Simplify (* -1 0) into 0 1.922 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 0)) into -1 1.922 * [backup-simplify]: Simplify (exp 0) into 1 1.922 * [taylor]: Taking taylor expansion of (exp im) in im 1.922 * [taylor]: Taking taylor expansion of im in im 1.922 * [backup-simplify]: Simplify 0 into 0 1.922 * [backup-simplify]: Simplify 1 into 1 1.922 * [backup-simplify]: Simplify (exp 0) into 1 1.922 * [taylor]: Taking taylor expansion of (+ (exp (* -1 im)) (exp im)) in im 1.922 * [taylor]: Taking taylor expansion of (exp (* -1 im)) in im 1.922 * [taylor]: Taking taylor expansion of (* -1 im) in im 1.922 * [taylor]: Taking taylor expansion of -1 in im 1.922 * [backup-simplify]: Simplify -1 into -1 1.922 * [taylor]: Taking taylor expansion of im in im 1.922 * [backup-simplify]: Simplify 0 into 0 1.922 * [backup-simplify]: Simplify 1 into 1 1.922 * [backup-simplify]: Simplify (* -1 0) into 0 1.923 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 0)) into -1 1.923 * [backup-simplify]: Simplify (exp 0) into 1 1.923 * [taylor]: Taking taylor expansion of (exp im) in im 1.923 * [taylor]: Taking taylor expansion of im in im 1.923 * [backup-simplify]: Simplify 0 into 0 1.923 * [backup-simplify]: Simplify 1 into 1 1.923 * [backup-simplify]: Simplify (exp 0) into 1 1.923 * [backup-simplify]: Simplify (+ 1 1) into 2 1.923 * [backup-simplify]: Simplify 2 into 2 1.924 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1 1.924 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 1.925 * [backup-simplify]: Simplify (+ -1 1) into 0 1.925 * [backup-simplify]: Simplify 0 into 0 1.925 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 0))) into 0 1.926 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 1.927 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 1.927 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 1.927 * [backup-simplify]: Simplify 1 into 1 1.928 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.930 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 3) 6)) (* (/ (pow -1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into -1/6 1.931 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 1/6 1.931 * [backup-simplify]: Simplify (+ -1/6 1/6) into 0 1.931 * [backup-simplify]: Simplify 0 into 0 1.932 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1.935 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 4) 24)) (* (/ (pow -1 2) 2) (/ (pow 0 1) 1)) (* (/ (pow -1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 1/24 1.937 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 4) 24)) (* (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 1/24 1.938 * [backup-simplify]: Simplify (+ 1/24 1/24) into 1/12 1.938 * [backup-simplify]: Simplify 1/12 into 1/12 1.938 * [backup-simplify]: Simplify (+ (* 1/12 (pow im 4)) (+ (* 1 (pow im 2)) 2)) into (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2)) 1.938 * [backup-simplify]: Simplify (+ (exp (* -1 (/ 1 im))) (exp (/ 1 im))) into (+ (exp (/ -1 im)) (exp (/ 1 im))) 1.938 * [approximate]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in (im) around 0 1.938 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 1.938 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.938 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.938 * [taylor]: Taking taylor expansion of -1 in im 1.938 * [backup-simplify]: Simplify -1 into -1 1.938 * [taylor]: Taking taylor expansion of im in im 1.938 * [backup-simplify]: Simplify 0 into 0 1.938 * [backup-simplify]: Simplify 1 into 1 1.939 * [backup-simplify]: Simplify (/ -1 1) into -1 1.939 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) 1.939 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.939 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.939 * [taylor]: Taking taylor expansion of im in im 1.939 * [backup-simplify]: Simplify 0 into 0 1.939 * [backup-simplify]: Simplify 1 into 1 1.939 * [backup-simplify]: Simplify (/ 1 1) into 1 1.939 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 1.939 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 1.939 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.939 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.939 * [taylor]: Taking taylor expansion of -1 in im 1.939 * [backup-simplify]: Simplify -1 into -1 1.939 * [taylor]: Taking taylor expansion of im in im 1.939 * [backup-simplify]: Simplify 0 into 0 1.939 * [backup-simplify]: Simplify 1 into 1 1.940 * [backup-simplify]: Simplify (/ -1 1) into -1 1.940 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) 1.940 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.940 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.940 * [taylor]: Taking taylor expansion of im in im 1.940 * [backup-simplify]: Simplify 0 into 0 1.940 * [backup-simplify]: Simplify 1 into 1 1.940 * [backup-simplify]: Simplify (/ 1 1) into 1 1.940 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 1.940 * [backup-simplify]: Simplify (+ (exp (/ -1 im)) (exp (/ 1 im))) into (+ (exp (/ -1 im)) (exp (/ 1 im))) 1.940 * [backup-simplify]: Simplify (+ (exp (/ -1 im)) (exp (/ 1 im))) into (+ (exp (/ -1 im)) (exp (/ 1 im))) 1.941 * [backup-simplify]: Simplify (+ 0 0) into 0 1.941 * [backup-simplify]: Simplify 0 into 0 1.941 * [backup-simplify]: Simplify (+ 0 0) into 0 1.941 * [backup-simplify]: Simplify 0 into 0 1.941 * [backup-simplify]: Simplify (+ 0 0) into 0 1.941 * [backup-simplify]: Simplify 0 into 0 1.941 * [backup-simplify]: Simplify (+ 0 0) into 0 1.941 * [backup-simplify]: Simplify 0 into 0 1.942 * [backup-simplify]: Simplify (+ 0 0) into 0 1.942 * [backup-simplify]: Simplify 0 into 0 1.942 * [backup-simplify]: Simplify (+ 0 0) into 0 1.942 * [backup-simplify]: Simplify 0 into 0 1.942 * [backup-simplify]: Simplify (+ (exp (/ -1 (/ 1 im))) (exp (/ 1 (/ 1 im)))) into (+ (exp (* -1 im)) (exp im)) 1.942 * [backup-simplify]: Simplify (+ (exp (* -1 (/ 1 (- im)))) (exp (/ 1 (- im)))) into (+ (exp (/ -1 im)) (exp (/ 1 im))) 1.942 * [approximate]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in (im) around 0 1.942 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 1.942 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.942 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.942 * [taylor]: Taking taylor expansion of -1 in im 1.942 * [backup-simplify]: Simplify -1 into -1 1.942 * [taylor]: Taking taylor expansion of im in im 1.942 * [backup-simplify]: Simplify 0 into 0 1.942 * [backup-simplify]: Simplify 1 into 1 1.943 * [backup-simplify]: Simplify (/ -1 1) into -1 1.943 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) 1.943 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.943 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.943 * [taylor]: Taking taylor expansion of im in im 1.943 * [backup-simplify]: Simplify 0 into 0 1.943 * [backup-simplify]: Simplify 1 into 1 1.943 * [backup-simplify]: Simplify (/ 1 1) into 1 1.943 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 1.943 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 1.943 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.943 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.943 * [taylor]: Taking taylor expansion of -1 in im 1.943 * [backup-simplify]: Simplify -1 into -1 1.943 * [taylor]: Taking taylor expansion of im in im 1.943 * [backup-simplify]: Simplify 0 into 0 1.943 * [backup-simplify]: Simplify 1 into 1 1.944 * [backup-simplify]: Simplify (/ -1 1) into -1 1.944 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) 1.944 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.944 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.944 * [taylor]: Taking taylor expansion of im in im 1.944 * [backup-simplify]: Simplify 0 into 0 1.944 * [backup-simplify]: Simplify 1 into 1 1.944 * [backup-simplify]: Simplify (/ 1 1) into 1 1.944 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 1.944 * [backup-simplify]: Simplify (+ (exp (/ -1 im)) (exp (/ 1 im))) into (+ (exp (/ -1 im)) (exp (/ 1 im))) 1.944 * [backup-simplify]: Simplify (+ (exp (/ -1 im)) (exp (/ 1 im))) into (+ (exp (/ -1 im)) (exp (/ 1 im))) 1.944 * [backup-simplify]: Simplify (+ 0 0) into 0 1.945 * [backup-simplify]: Simplify 0 into 0 1.945 * [backup-simplify]: Simplify (+ 0 0) into 0 1.945 * [backup-simplify]: Simplify 0 into 0 1.945 * [backup-simplify]: Simplify (+ 0 0) into 0 1.945 * [backup-simplify]: Simplify 0 into 0 1.945 * [backup-simplify]: Simplify (+ 0 0) into 0 1.945 * [backup-simplify]: Simplify 0 into 0 1.946 * [backup-simplify]: Simplify (+ 0 0) into 0 1.946 * [backup-simplify]: Simplify 0 into 0 1.946 * [backup-simplify]: Simplify (+ 0 0) into 0 1.946 * [backup-simplify]: Simplify 0 into 0 1.946 * [backup-simplify]: Simplify (+ (exp (/ -1 (/ 1 (- im)))) (exp (/ 1 (/ 1 (- im))))) into (+ (exp (* -1 im)) (exp im)) 1.946 * * * [progress]: simplifying candidates 1.947 * [simplify]: Simplifying: (log (cbrt (pow (* (+ (exp (* -1 im)) (exp im)) (sin re)) 3))) (exp (cbrt (pow (* (+ (exp (* -1 im)) (exp im)) (sin re)) 3))) (cbrt (pow (+ (exp (* -1 im)) (exp im)) 3)) (cbrt (pow (sin re) 3)) (cbrt (* (* (+ (exp (* -1 im)) (exp im)) (sin re)) (* (+ (exp (* -1 im)) (exp im)) (sin re)))) (cbrt (* (+ (exp (* -1 im)) (exp im)) (sin re))) (cbrt (* (cbrt (pow (* (+ (exp (* -1 im)) (exp im)) (sin re)) 3)) (cbrt (pow (* (+ (exp (* -1 im)) (exp im)) (sin re)) 3)))) (cbrt (cbrt (pow (* (+ (exp (* -1 im)) (exp im)) (sin re)) 3))) (cbrt (pow (+ (exp (* -1 im)) (exp im)) 3)) (cbrt (pow (sin re) 3)) (cbrt (* (+ (exp (* -1 im)) (exp im)) (sin re))) (cbrt (* (* (+ (exp (* -1 im)) (exp im)) (sin re)) (* (+ (exp (* -1 im)) (exp im)) (sin re)))) (cbrt (sqrt (pow (* (+ (exp (* -1 im)) (exp im)) (sin re)) 3))) (cbrt (sqrt (pow (* (+ (exp (* -1 im)) (exp im)) (sin re)) 3))) (cbrt 1) (cbrt (pow (* (+ (exp (* -1 im)) (exp im)) (sin re)) 3)) (cbrt (pow (* (+ (exp (* -1 im)) (exp im)) (sin re)) (/ 3 2))) (cbrt (pow (* (+ (exp (* -1 im)) (exp im)) (sin re)) (/ 3 2))) (cbrt (pow (* (+ (pow (exp (* -1 im)) 3) (pow (exp im) 3)) (sin re)) 3)) (cbrt (pow (+ (* (exp (* -1 im)) (exp (* -1 im))) (- (* (exp im) (exp im)) (* (exp (* -1 im)) (exp im)))) 3)) (cbrt (pow (* (- (* (exp (* -1 im)) (exp (* -1 im))) (* (exp im) (exp im))) (sin re)) 3)) (cbrt (pow (- (exp (* -1 im)) (exp im)) 3)) (* (cbrt (cbrt (pow (* (+ (exp (* -1 im)) (exp im)) (sin re)) 3))) (cbrt (cbrt (pow (* (+ (exp (* -1 im)) (exp im)) (sin re)) 3)))) (cbrt (cbrt (pow (* (+ (exp (* -1 im)) (exp im)) (sin re)) 3))) (* (* (cbrt (pow (* (+ (exp (* -1 im)) (exp im)) (sin re)) 3)) (cbrt (pow (* (+ (exp (* -1 im)) (exp im)) (sin re)) 3))) (cbrt (pow (* (+ (exp (* -1 im)) (exp im)) (sin re)) 3))) (sqrt (cbrt (pow (* (+ (exp (* -1 im)) (exp im)) (sin re)) 3))) (sqrt (cbrt (pow (* (+ (exp (* -1 im)) (exp im)) (sin re)) 3))) (* (+ (log (+ (exp (* -1 im)) (exp im))) (log (sin re))) 3) (* (log (* (+ (exp (* -1 im)) (exp im)) (sin re))) 3) (* (log (* (+ (exp (* -1 im)) (exp im)) (sin re))) 3) (* 1 3) (* 1 3) (pow (* (+ (exp (* -1 im)) (exp im)) (sin re)) (* (cbrt 3) (cbrt 3))) (pow (* (+ (exp (* -1 im)) (exp im)) (sin re)) (sqrt 3)) (pow (* (+ (exp (* -1 im)) (exp im)) (sin re)) 1) (pow (+ (exp (* -1 im)) (exp im)) 3) (pow (sin re) 3) (* (* (+ (exp (* -1 im)) (exp im)) (sin re)) (* (+ (exp (* -1 im)) (exp im)) (sin re))) (log (pow (* (+ (exp (* -1 im)) (exp im)) (sin re)) 3)) (exp (pow (* (+ (exp (* -1 im)) (exp im)) (sin re)) 3)) (* (cbrt (pow (* (+ (exp (* -1 im)) (exp im)) (sin re)) 3)) (cbrt (pow (* (+ (exp (* -1 im)) (exp im)) (sin re)) 3))) (cbrt (pow (* (+ (exp (* -1 im)) (exp im)) (sin re)) 3)) (* (* (pow (* (+ (exp (* -1 im)) (exp im)) (sin re)) 3) (pow (* (+ (exp (* -1 im)) (exp im)) (sin re)) 3)) (pow (* (+ (exp (* -1 im)) (exp im)) (sin re)) 3)) (pow (+ (exp (* -1 im)) (exp im)) 3) (pow (sin re) 3) (pow (* (+ (pow (exp (* -1 im)) 3) (pow (exp im) 3)) (sin re)) 3) (pow (+ (* (exp (* -1 im)) (exp (* -1 im))) (- (* (exp im) (exp im)) (* (exp (* -1 im)) (exp im)))) 3) (pow (* (- (* (exp (* -1 im)) (exp (* -1 im))) (* (exp im) (exp im))) (sin re)) 3) (pow (- (exp (* -1 im)) (exp im)) 3) (* (* (+ (exp (* -1 im)) (exp im)) (sin re)) (* (+ (exp (* -1 im)) (exp im)) (sin re))) (sqrt (pow (* (+ (exp (* -1 im)) (exp im)) (sin re)) 3)) (sqrt (pow (* (+ (exp (* -1 im)) (exp im)) (sin re)) 3)) (pow (* (+ (exp (* -1 im)) (exp im)) (sin re)) (/ 3 2)) (pow (* (+ (exp (* -1 im)) (exp im)) (sin re)) (/ 3 2)) (* (+ (exp (* -1 im)) (exp im)) (sin re)) (+ (log (+ (exp (* -1 im)) (exp im))) (log (sin re))) (log (* (+ (exp (* -1 im)) (exp im)) (sin re))) (exp (* (+ (exp (* -1 im)) (exp im)) (sin re))) (* (* (* (+ (exp (* -1 im)) (exp im)) (+ (exp (* -1 im)) (exp im))) (+ (exp (* -1 im)) (exp im))) (* (* (sin re) (sin re)) (sin re))) (* (cbrt (* (+ (exp (* -1 im)) (exp im)) (sin re))) (cbrt (* (+ (exp (* -1 im)) (exp im)) (sin re)))) (cbrt (* (+ (exp (* -1 im)) (exp im)) (sin re))) (* (* (* (+ (exp (* -1 im)) (exp im)) (sin re)) (* (+ (exp (* -1 im)) (exp im)) (sin re))) (* (+ (exp (* -1 im)) (exp im)) (sin re))) (sqrt (* (+ (exp (* -1 im)) (exp im)) (sin re))) (sqrt (* (+ (exp (* -1 im)) (exp im)) (sin re))) (* (sqrt (+ (exp (* -1 im)) (exp im))) (sqrt (sin re))) (* (sqrt (+ (exp (* -1 im)) (exp im))) (sqrt (sin re))) (* (+ (exp (* -1 im)) (exp im)) (* (cbrt (sin re)) (cbrt (sin re)))) (* (+ (exp (* -1 im)) (exp im)) (sqrt (sin re))) (* (+ (exp (* -1 im)) (exp im)) 1) (* (cbrt (+ (exp (* -1 im)) (exp im))) (sin re)) (* (sqrt (+ (exp (* -1 im)) (exp im))) (sin re)) (* (+ (exp (* -1 im)) (exp im)) (sin re)) (* (+ (exp (* -1 im)) (exp im)) (sin re)) (* (+ (pow (exp (* -1 im)) 3) (pow (exp im) 3)) (sin re)) (* (- (* (exp (* -1 im)) (exp (* -1 im))) (* (exp im) (exp im))) (sin re)) (* (exp (exp (* -1 im))) (exp (exp im))) (log (+ (exp (* -1 im)) (exp im))) (exp (+ (exp (* -1 im)) (exp im))) (* (cbrt (+ (exp (* -1 im)) (exp im))) (cbrt (+ (exp (* -1 im)) (exp im)))) (cbrt (+ (exp (* -1 im)) (exp im))) (* (* (+ (exp (* -1 im)) (exp im)) (+ (exp (* -1 im)) (exp im))) (+ (exp (* -1 im)) (exp im))) (sqrt (+ (exp (* -1 im)) (exp im))) (sqrt (+ (exp (* -1 im)) (exp im))) (+ (pow (exp (* -1 im)) 3) (pow (exp im) 3)) (+ (* (exp (* -1 im)) (exp (* -1 im))) (- (* (exp im) (exp im)) (* (exp (* -1 im)) (exp im)))) (- (* (exp (* -1 im)) (exp (* -1 im))) (* (exp im) (exp im))) (- (exp (* -1 im)) (exp im)) (+ (exp (* -1 im)) (exp im)) (- (+ (* 2 re) (* re (pow im 2))) (* 1/3 (pow re 3))) (* (+ (exp (* -1 im)) (exp im)) (sin re)) (* (+ (exp (* -1 im)) (exp im)) (sin re)) (- (+ (* 12 (* (pow re 3) (pow im 2))) (* 8 (pow re 3))) (* 4 (pow re 5))) (* (pow (+ (exp (* -1 im)) (exp im)) 3) (pow (sin re) 3)) (* (pow (+ (exp (* -1 im)) (exp im)) 3) (pow (sin re) 3)) (- (+ (* 2 re) (* re (pow im 2))) (* 1/3 (pow re 3))) (* (+ (exp (* -1 im)) (exp im)) (sin re)) (* (+ (exp (* -1 im)) (exp im)) (sin re)) (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2)) (+ (exp (* -1 im)) (exp im)) (+ (exp (* -1 im)) (exp im)) 1.948 * [simplify]: Sending expressions to egg_math: (log (cbrt (pow (* (+ (exp (* -1 h1)) (exp h1)) (sin h0)) 3))) (exp (cbrt (pow (* (+ (exp (* -1 h1)) (exp h1)) (sin h0)) 3))) (cbrt (pow (+ (exp (* -1 h1)) (exp h1)) 3)) (cbrt (pow (sin h0) 3)) (cbrt (* (* (+ (exp (* -1 h1)) (exp h1)) (sin h0)) (* (+ (exp (* -1 h1)) (exp h1)) (sin h0)))) (cbrt (* (+ (exp (* -1 h1)) (exp h1)) (sin h0))) (cbrt (* (cbrt (pow (* (+ (exp (* -1 h1)) (exp h1)) (sin h0)) 3)) (cbrt (pow (* (+ (exp (* -1 h1)) (exp h1)) (sin h0)) 3)))) 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h1)) (sin h0)) (/ 3 2)) (* (+ (exp (* -1 h1)) (exp h1)) (sin h0)) (+ (log (+ (exp (* -1 h1)) (exp h1))) (log (sin h0))) (log (* (+ (exp (* -1 h1)) (exp h1)) (sin h0))) (exp (* (+ (exp (* -1 h1)) (exp h1)) (sin h0))) (* (* (* (+ (exp (* -1 h1)) (exp h1)) (+ (exp (* -1 h1)) (exp h1))) (+ (exp (* -1 h1)) (exp h1))) (* (* (sin h0) (sin h0)) (sin h0))) (* (cbrt (* (+ (exp (* -1 h1)) (exp h1)) (sin h0))) (cbrt (* (+ (exp (* -1 h1)) (exp h1)) (sin h0)))) (cbrt (* (+ (exp (* -1 h1)) (exp h1)) (sin h0))) (* (* (* (+ (exp (* -1 h1)) (exp h1)) (sin h0)) (* (+ (exp (* -1 h1)) (exp h1)) (sin h0))) (* (+ (exp (* -1 h1)) (exp h1)) (sin h0))) (sqrt (* (+ (exp (* -1 h1)) (exp h1)) (sin h0))) (sqrt (* (+ (exp (* -1 h1)) (exp h1)) (sin h0))) (* (sqrt (+ (exp (* -1 h1)) (exp h1))) (sqrt (sin h0))) (* (sqrt (+ (exp (* -1 h1)) (exp h1))) (sqrt (sin h0))) (* (+ (exp (* -1 h1)) (exp h1)) (* (cbrt (sin h0)) (cbrt (sin h0)))) (* (+ (exp (* -1 h1)) (exp h1)) (sqrt (sin h0))) (* (+ (exp (* -1 h1)) (exp h1)) 1) (* (cbrt (+ (exp (* -1 h1)) (exp h1))) (sin h0)) (* (sqrt (+ (exp (* -1 h1)) (exp h1))) (sin h0)) (* (+ (exp (* -1 h1)) (exp h1)) (sin h0)) (* (+ (exp (* -1 h1)) (exp h1)) (sin h0)) (* (+ (pow (exp (* -1 h1)) 3) (pow (exp h1) 3)) (sin h0)) (* (- (* (exp (* -1 h1)) (exp (* -1 h1))) (* (exp h1) (exp h1))) (sin h0)) (* (exp (exp (* -1 h1))) (exp (exp h1))) (log (+ (exp (* -1 h1)) (exp h1))) (exp (+ (exp (* -1 h1)) (exp h1))) (* (cbrt (+ (exp (* -1 h1)) (exp h1))) (cbrt (+ (exp (* -1 h1)) (exp h1)))) (cbrt (+ (exp (* -1 h1)) (exp h1))) (* (* (+ (exp (* -1 h1)) (exp h1)) (+ (exp (* -1 h1)) (exp h1))) (+ (exp (* -1 h1)) (exp h1))) (sqrt (+ (exp (* -1 h1)) (exp h1))) (sqrt (+ (exp (* -1 h1)) (exp h1))) (+ (pow (exp (* -1 h1)) 3) (pow (exp h1) 3)) (+ (* (exp (* -1 h1)) (exp (* -1 h1))) (- (* (exp h1) (exp h1)) (* (exp (* -1 h1)) (exp h1)))) (- (* (exp (* -1 h1)) (exp (* -1 h1))) (* (exp h1) (exp h1))) (- (exp (* -1 h1)) (exp h1)) (+ (exp (* -1 h1)) (exp h1)) (- (+ (* 2 h0) (* h0 (pow h1 2))) (* 1/3 (pow h0 3))) (* (+ (exp (* -1 h1)) (exp h1)) (sin h0)) (* (+ (exp (* -1 h1)) (exp h1)) (sin h0)) (- (+ (* 12 (* (pow h0 3) (pow h1 2))) (* 8 (pow h0 3))) (* 4 (pow h0 5))) (* (pow (+ (exp (* -1 h1)) (exp h1)) 3) (pow (sin h0) 3)) (* (pow (+ (exp (* -1 h1)) (exp h1)) 3) (pow (sin h0) 3)) (- (+ (* 2 h0) (* h0 (pow h1 2))) (* 1/3 (pow h0 3))) (* (+ (exp (* -1 h1)) (exp h1)) (sin h0)) (* (+ (exp (* -1 h1)) (exp h1)) (sin h0)) (+ (* 1/12 (pow h1 4)) (+ (pow h1 2) 2)) (+ (exp (* -1 h1)) (exp h1)) (+ (exp (* -1 h1)) (exp h1)) 1.990 * * * [progress]: adding candidates to table 2.230 * [progress]: [Phase 3 of 3] Extracting. 2.230 * * [regime]: Finding splitpoints for: (# # #) 2.230 * * * [regime-changes]: Trying 3 branch expressions: ((sin re) im re) 2.230 * * * * [regimes]: Trying to branch on (sin re) from (# # #) 2.253 * * * * [regimes]: Trying to branch on im from (# # #) 2.270 * * * * [regimes]: Trying to branch on re from (# # #) 2.286 * * * [regime]: Found split indices: #