* [misc]progress: [Phase 1 of 3] Setting up. * * * [misc]progress: [1/2] Preparing points * * * [misc]progress: [2/2] Setting up program. * [enter]simplify: Simplifying (* (* 0.5 (sin re)) (+ (exp (- 0 im)) (exp im))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (124 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (* 0.5 (fma (exp im) (sin re) (/ (sin re) (exp im)))) * [misc]progress: [Phase 2 of 3] Improving. * * [misc]progress: iteration 1 / 2 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 2 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (+ (exp (- 0 im)) (exp im)) in (im) around 0 * [misc]taylor: Taking taylor expansion of (+ (exp (- 0 im)) (exp im)) in im * [misc]taylor: Taking taylor expansion of (exp (- 0 im)) in im * [misc]taylor: Taking taylor expansion of (- 0 im) in im * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp im) in im * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (+ (exp (- 0 im)) (exp im)) in im * [misc]taylor: Taking taylor expansion of (exp (- 0 im)) in im * [misc]taylor: Taking taylor expansion of (- 0 im) in im * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp im) in im * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (+ -1 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (+ 1/2 1/2) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -1 3) 6)) (* (/ (pow -1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into -1/6 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 1/6 * [misc]backup-simplify: Simplify (+ -1/6 1/6) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]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 * [misc]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 * [misc]backup-simplify: Simplify (+ 1/24 1/24) into 1/12 * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]backup-simplify: Simplify (+ (* 1/12 (pow im 4)) (+ (* 1 (sqr im)) 2)) into (+ 2 (+ (sqr im) (* 1/12 (pow im 4)))) * [misc]approximate: Taking taylor expansion of (+ (exp (- 0 (/ 1 im))) (exp (/ 1 im))) in (im) around 0 * [misc]taylor: Taking taylor expansion of (+ (exp (- 0 (/ 1 im))) (exp (/ 1 im))) in im * [misc]taylor: Taking taylor expansion of (exp (- 0 (/ 1 im))) in im * [misc]taylor: Taking taylor expansion of (- 0 (/ 1 im)) in im * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of (/ 1 im) in im * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (exp (- 0 (/ 1 im))) into (exp (- (/ 1 im))) * [misc]taylor: Taking taylor expansion of (exp (/ 1 im)) in im * [misc]taylor: Taking taylor expansion of (/ 1 im) in im * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) * [misc]taylor: Taking taylor expansion of (+ (exp (- 0 (/ 1 im))) (exp (/ 1 im))) in im * [misc]taylor: Taking taylor expansion of (exp (- 0 (/ 1 im))) in im * [misc]taylor: Taking taylor expansion of (- 0 (/ 1 im)) in im * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of (/ 1 im) in im * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (exp (- 0 (/ 1 im))) into (exp (- (/ 1 im))) * [misc]taylor: Taking taylor expansion of (exp (/ 1 im)) in im * [misc]taylor: Taking taylor expansion of (/ 1 im) in im * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) * [misc]backup-simplify: Simplify (+ (exp (- (/ 1 im))) (exp (/ 1 im))) into (+ (exp (/ 1 im)) (exp (- (/ 1 im)))) * [misc]backup-simplify: Simplify (+ (exp (/ 1 im)) (exp (- (/ 1 im)))) into (+ (exp (/ 1 im)) (exp (- (/ 1 im)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (exp (/ 1 im)) (exp (- (/ 1 im)))) into (+ (exp (/ 1 im)) (exp (- (/ 1 im)))) * [misc]approximate: Taking taylor expansion of (+ (exp (- 0 (/ 1 (- im)))) (exp (/ 1 (- im)))) in (im) around 0 * [misc]taylor: Taking taylor expansion of (+ (exp (- 0 (/ 1 (- im)))) (exp (/ 1 (- im)))) in im * [misc]taylor: Taking taylor expansion of (exp (- 0 (/ 1 (- im)))) in im * [misc]taylor: Taking taylor expansion of (- 0 (/ 1 (- im))) in im * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of (/ 1 (- im)) in im * [misc]taylor: Taking taylor expansion of (- im) in im * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (exp (- 0 (/ 1 (- im)))) into (exp (/ 1 im)) * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- im))) in im * [misc]taylor: Taking taylor expansion of (/ 1 (- im)) in im * [misc]taylor: Taking taylor expansion of (- im) in im * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (exp (/ 1 (- im))) into (exp (/ -1 im)) * [misc]taylor: Taking taylor expansion of (+ (exp (- 0 (/ 1 (- im)))) (exp (/ 1 (- im)))) in im * [misc]taylor: Taking taylor expansion of (exp (- 0 (/ 1 (- im)))) in im * [misc]taylor: Taking taylor expansion of (- 0 (/ 1 (- im))) in im * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of (/ 1 (- im)) in im * [misc]taylor: Taking taylor expansion of (- im) in im * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (exp (- 0 (/ 1 (- im)))) into (exp (/ 1 im)) * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- im))) in im * [misc]taylor: Taking taylor expansion of (/ 1 (- im)) in im * [misc]taylor: Taking taylor expansion of (- im) in im * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (exp (/ 1 (- im))) into (exp (/ -1 im)) * [misc]backup-simplify: Simplify (+ (exp (/ 1 im)) (exp (/ -1 im))) into (+ (exp (/ 1 im)) (exp (/ -1 im))) * [misc]backup-simplify: Simplify (+ (exp (/ 1 im)) (exp (/ -1 im))) into (+ (exp (/ 1 im)) (exp (/ -1 im))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (exp (/ 1 im)) (exp (/ -1 im))) into (+ (exp (/ 1 im)) (exp (/ -1 im))) * * * * [misc]progress: [ 2 / 2 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (* (* 0.5 (sin re)) (+ (exp (- 0 im)) (exp im))) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (* (* 0.5 (sin re)) (+ (exp (- 0 im)) (exp im))) in im * [misc]taylor: Taking taylor expansion of (* 0.5 (sin re)) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (sin re) in im * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]backup-simplify: Simplify (sin re) into (sin re) * [misc]backup-simplify: Simplify (cos re) into (cos re) * [misc]taylor: Taking taylor expansion of (+ (exp (- 0 im)) (exp im)) in im * [misc]taylor: Taking taylor expansion of (exp (- 0 im)) in im * [misc]taylor: Taking taylor expansion of (- 0 im) in im * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp im) in im * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (* (* 0.5 (sin re)) (+ (exp (- 0 im)) (exp im))) in re * [misc]taylor: Taking taylor expansion of (* 0.5 (sin re)) in re * [misc]taylor: Taking taylor expansion of 0.5 in re * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (sin re) in re * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (exp (- 0 im)) (exp im)) in re * [misc]taylor: Taking taylor expansion of (exp (- 0 im)) in re * [misc]taylor: Taking taylor expansion of (- 0 im) in re * [misc]taylor: Taking taylor expansion of 0 in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (+ 0 (- im)) into (- im) * [misc]backup-simplify: Simplify (exp (- im)) into (exp (- im)) * [misc]taylor: Taking taylor expansion of (exp im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (exp im) into (exp im) * [misc]taylor: Taking taylor expansion of (* (* 0.5 (sin re)) (+ (exp (- 0 im)) (exp im))) in re * [misc]taylor: Taking taylor expansion of (* 0.5 (sin re)) in re * [misc]taylor: Taking taylor expansion of 0.5 in re * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (sin re) in re * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (exp (- 0 im)) (exp im)) in re * [misc]taylor: Taking taylor expansion of (exp (- 0 im)) in re * [misc]taylor: Taking taylor expansion of (- 0 im) in re * [misc]taylor: Taking taylor expansion of 0 in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (+ 0 (- im)) into (- im) * [misc]backup-simplify: Simplify (exp (- im)) into (exp (- im)) * [misc]taylor: Taking taylor expansion of (exp im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (exp im) into (exp im) * [misc]backup-simplify: Simplify (* 0.5 0) into 0 * [misc]backup-simplify: Simplify (+ (exp (- im)) (exp im)) into (+ (exp im) (exp (- im))) * [misc]backup-simplify: Simplify (* 0 (+ (exp im) (exp (- im)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- im)) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp im) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 0.5 (+ (exp im) (exp (- im))))) into (+ (* 0.5 (exp im)) (* 0.5 (exp (- im)))) * [misc]taylor: Taking taylor expansion of (+ (* 0.5 (exp im)) (* 0.5 (exp (- im)))) in im * [misc]taylor: Taking taylor expansion of (* 0.5 (exp im)) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (exp im) in im * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (* 0.5 (exp (- im))) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (exp (- im)) in im * [misc]taylor: Taking taylor expansion of (- im) in im * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (* 0.5 1) into 0.5 * [misc]backup-simplify: Simplify (* 0.5 1) into 0.5 * [misc]backup-simplify: Simplify (+ 0.5 0.5) into 1.0 * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp im) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0.5 0) (* 0 (+ (exp im) (exp (- im)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (+ (* 0.5 1) (* 0 1)) into 0.5 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1 * [misc]backup-simplify: Simplify (+ (* 0.5 -1) (* 0 1)) into (- 0.5) * [misc]backup-simplify: Simplify (+ 0.5 (- 0.5)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- im)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp im) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (+ (* 0.5 (- 1/6)) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into (- 0.08333333333333333) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0.5 0) (+ (* 0 0) (* (- 0.08333333333333333) (+ (exp im) (exp (- im))))))) into (- (+ (* 0.08333333333333333 (exp im)) (* 0.08333333333333333 (exp (- im))))) * [misc]taylor: Taking taylor expansion of (- (+ (* 0.08333333333333333 (exp im)) (* 0.08333333333333333 (exp (- im))))) in im * [misc]taylor: Taking taylor expansion of (+ (* 0.08333333333333333 (exp im)) (* 0.08333333333333333 (exp (- im)))) in im * [misc]taylor: Taking taylor expansion of (* 0.08333333333333333 (exp im)) in im * [misc]taylor: Taking taylor expansion of 0.08333333333333333 in im * [misc]backup-simplify: Simplify 0.08333333333333333 into 0.08333333333333333 * [misc]taylor: Taking taylor expansion of (exp im) in im * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (* 0.08333333333333333 (exp (- im))) in im * [misc]taylor: Taking taylor expansion of 0.08333333333333333 in im * [misc]backup-simplify: Simplify 0.08333333333333333 into 0.08333333333333333 * [misc]taylor: Taking taylor expansion of (exp (- im)) in im * [misc]taylor: Taking taylor expansion of (- im) in im * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (* 0.08333333333333333 1) into 0.08333333333333333 * [misc]backup-simplify: Simplify (* 0.08333333333333333 1) into 0.08333333333333333 * [misc]backup-simplify: Simplify (+ 0.08333333333333333 0.08333333333333333) into 0.16666666666666666 * [misc]backup-simplify: Simplify (- 0.16666666666666666) into (- 0.16666666666666666) * [misc]backup-simplify: Simplify (- 0.16666666666666666) into (- 0.16666666666666666) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (+ (* 0.5 1/2) (+ (* 0 1) (* 0 1))) into 0.25 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (+ (* 0.5 1/2) (+ (* 0 -1) (* 0 1))) into 0.25 * [misc]backup-simplify: Simplify (+ 0.25 0.25) into 0.5 * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]backup-simplify: Simplify (+ (* 0.5 (* (sqr im) re)) (+ (* (- 0.16666666666666666) (pow (* 1 re) 3)) (* 1.0 (* 1 re)))) into (- (+ (* 1.0 re) (* 0.5 (* (sqr im) re))) (* 0.16666666666666666 (pow re 3))) * [misc]approximate: Taking taylor expansion of (* (* 0.5 (sin (/ 1 re))) (+ (exp (- 0 (/ 1 im))) (exp (/ 1 im)))) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (* (* 0.5 (sin (/ 1 re))) (+ (exp (- 0 (/ 1 im))) (exp (/ 1 im)))) in im * [misc]taylor: Taking taylor expansion of (* 0.5 (sin (/ 1 re))) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (sin (/ 1 re)) in im * [misc]taylor: Taking taylor expansion of (/ 1 re) in im * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]backup-simplify: Simplify (/ 1 re) into (/ 1 re) * [misc]backup-simplify: Simplify (sin (/ 1 re)) into (sin (/ 1 re)) * [misc]backup-simplify: Simplify (cos (/ 1 re)) into (cos (/ 1 re)) * [misc]taylor: Taking taylor expansion of (+ (exp (- 0 (/ 1 im))) (exp (/ 1 im))) in im * [misc]taylor: Taking taylor expansion of (exp (- 0 (/ 1 im))) in im * [misc]taylor: Taking taylor expansion of (- 0 (/ 1 im)) in im * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of (/ 1 im) in im * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (exp (- 0 (/ 1 im))) into (exp (- (/ 1 im))) * [misc]taylor: Taking taylor expansion of (exp (/ 1 im)) in im * [misc]taylor: Taking taylor expansion of (/ 1 im) in im * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) * [misc]taylor: Taking taylor expansion of (* (* 0.5 (sin (/ 1 re))) (+ (exp (- 0 (/ 1 im))) (exp (/ 1 im)))) in re * [misc]taylor: Taking taylor expansion of (* 0.5 (sin (/ 1 re))) in re * [misc]taylor: Taking taylor expansion of 0.5 in re * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (sin (/ 1 re)) in re * [misc]taylor: Taking taylor expansion of (/ 1 re) in re * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 re)) into (sin (/ 1 re)) * [misc]taylor: Taking taylor expansion of (+ (exp (- 0 (/ 1 im))) (exp (/ 1 im))) in re * [misc]taylor: Taking taylor expansion of (exp (- 0 (/ 1 im))) in re * [misc]taylor: Taking taylor expansion of (- 0 (/ 1 im)) in re * [misc]taylor: Taking taylor expansion of 0 in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of (/ 1 im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (/ 1 im) into (/ 1 im) * [misc]backup-simplify: Simplify (- (/ 1 im)) into (- (/ 1 im)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 im))) into (- (/ 1 im)) * [misc]backup-simplify: Simplify (exp (- (/ 1 im))) into (exp (- (/ 1 im))) * [misc]taylor: Taking taylor expansion of (exp (/ 1 im)) in re * [misc]taylor: Taking taylor expansion of (/ 1 im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (/ 1 im) into (/ 1 im) * [misc]backup-simplify: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) * [misc]taylor: Taking taylor expansion of (* (* 0.5 (sin (/ 1 re))) (+ (exp (- 0 (/ 1 im))) (exp (/ 1 im)))) in re * [misc]taylor: Taking taylor expansion of (* 0.5 (sin (/ 1 re))) in re * [misc]taylor: Taking taylor expansion of 0.5 in re * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (sin (/ 1 re)) in re * [misc]taylor: Taking taylor expansion of (/ 1 re) in re * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 re)) into (sin (/ 1 re)) * [misc]taylor: Taking taylor expansion of (+ (exp (- 0 (/ 1 im))) (exp (/ 1 im))) in re * [misc]taylor: Taking taylor expansion of (exp (- 0 (/ 1 im))) in re * [misc]taylor: Taking taylor expansion of (- 0 (/ 1 im)) in re * [misc]taylor: Taking taylor expansion of 0 in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of (/ 1 im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (/ 1 im) into (/ 1 im) * [misc]backup-simplify: Simplify (- (/ 1 im)) into (- (/ 1 im)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 im))) into (- (/ 1 im)) * [misc]backup-simplify: Simplify (exp (- (/ 1 im))) into (exp (- (/ 1 im))) * [misc]taylor: Taking taylor expansion of (exp (/ 1 im)) in re * [misc]taylor: Taking taylor expansion of (/ 1 im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (/ 1 im) into (/ 1 im) * [misc]backup-simplify: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) * [misc]backup-simplify: Simplify (* 0.5 (sin (/ 1 re))) into (* 0.5 (sin (/ 1 re))) * [misc]backup-simplify: Simplify (+ (exp (- (/ 1 im))) (exp (/ 1 im))) into (+ (exp (/ 1 im)) (exp (- (/ 1 im)))) * [misc]backup-simplify: Simplify (* (* 0.5 (sin (/ 1 re))) (+ (exp (/ 1 im)) (exp (- (/ 1 im))))) into (* 0.5 (* (+ (exp (/ 1 im)) (exp (- (/ 1 im)))) (sin (/ 1 re)))) * [misc]taylor: Taking taylor expansion of (* 0.5 (* (+ (exp (/ 1 im)) (exp (- (/ 1 im)))) (sin (/ 1 re)))) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (* (+ (exp (/ 1 im)) (exp (- (/ 1 im)))) (sin (/ 1 re))) in im * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 im)) (exp (- (/ 1 im)))) in im * [misc]taylor: Taking taylor expansion of (exp (/ 1 im)) in im * [misc]taylor: Taking taylor expansion of (/ 1 im) in im * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) * [misc]taylor: Taking taylor expansion of (exp (- (/ 1 im))) in im * [misc]taylor: Taking taylor expansion of (- (/ 1 im)) in im * [misc]taylor: Taking taylor expansion of (/ 1 im) in im * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (exp (- (/ 1 im))) into (exp (- (/ 1 im))) * [misc]taylor: Taking taylor expansion of (sin (/ 1 re)) in im * [misc]taylor: Taking taylor expansion of (/ 1 re) in im * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]backup-simplify: Simplify (/ 1 re) into (/ 1 re) * [misc]backup-simplify: Simplify (sin (/ 1 re)) into (sin (/ 1 re)) * [misc]backup-simplify: Simplify (cos (/ 1 re)) into (cos (/ 1 re)) * [misc]backup-simplify: Simplify (+ (exp (/ 1 im)) (exp (- (/ 1 im)))) into (+ (exp (/ 1 im)) (exp (- (/ 1 im)))) * [misc]backup-simplify: Simplify (* (sin (/ 1 re)) 1) into (sin (/ 1 re)) * [misc]backup-simplify: Simplify (* (cos (/ 1 re)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1 re)) 0) into (sin (/ 1 re)) * [misc]backup-simplify: Simplify (* (+ (exp (/ 1 im)) (exp (- (/ 1 im)))) (sin (/ 1 re))) into (* (+ (exp (/ 1 im)) (exp (- (/ 1 im)))) (sin (/ 1 re))) * [misc]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)))) * [misc]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)))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (/ 1 im))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (* 0 (sin (/ 1 re)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 0.5 (sin (/ 1 re))) 0) (* 0 (+ (exp (/ 1 im)) (exp (- (/ 1 im)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 re)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 re)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ (exp (/ 1 im)) (exp (- (/ 1 im)))) 0) (* 0 (sin (/ 1 re)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (* 0 (* (+ (exp (/ 1 im)) (exp (- (/ 1 im)))) (sin (/ 1 re))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (/ 1 im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (sin (/ 1 re))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 0.5 (sin (/ 1 re))) 0) (+ (* 0 0) (* 0 (+ (exp (/ 1 im)) (exp (- (/ 1 im))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 re)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 re)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ (exp (/ 1 im)) (exp (- (/ 1 im)))) 0) (+ (* 0 0) (* 0 (sin (/ 1 re))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* (+ (exp (/ 1 im)) (exp (- (/ 1 im)))) (sin (/ 1 re)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)) (* 0 (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (/ 1 im))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)) (* 0 (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 re)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 0.5 (sin (/ 1 re))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (exp (/ 1 im)) (exp (- (/ 1 im)))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 0.5 (* (+ (exp (/ 1 im)) (exp (- (/ 1 im)))) (sin (/ 1 re)))) into (* 0.5 (* (+ (exp (/ 1 im)) (exp (- (/ 1 im)))) (sin (/ 1 re)))) * [misc]approximate: Taking taylor expansion of (* (* 0.5 (sin (/ 1 (- re)))) (+ (exp (- 0 (/ 1 (- im)))) (exp (/ 1 (- im))))) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (* (* 0.5 (sin (/ 1 (- re)))) (+ (exp (- 0 (/ 1 (- im)))) (exp (/ 1 (- im))))) in im * [misc]taylor: Taking taylor expansion of (* 0.5 (sin (/ 1 (- re)))) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- re))) in im * [misc]taylor: Taking taylor expansion of (/ 1 (- re)) in im * [misc]taylor: Taking taylor expansion of (- re) in im * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]backup-simplify: Simplify (- re) into (- re) * [misc]backup-simplify: Simplify (- re) into (- re) * [misc]backup-simplify: Simplify (/ 1 (- re)) into (/ -1 re) * [misc]backup-simplify: Simplify (sin (/ -1 re)) into (sin (/ -1 re)) * [misc]backup-simplify: Simplify (cos (/ -1 re)) into (cos (/ -1 re)) * [misc]taylor: Taking taylor expansion of (+ (exp (- 0 (/ 1 (- im)))) (exp (/ 1 (- im)))) in im * [misc]taylor: Taking taylor expansion of (exp (- 0 (/ 1 (- im)))) in im * [misc]taylor: Taking taylor expansion of (- 0 (/ 1 (- im))) in im * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of (/ 1 (- im)) in im * [misc]taylor: Taking taylor expansion of (- im) in im * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (exp (- 0 (/ 1 (- im)))) into (exp (/ 1 im)) * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- im))) in im * [misc]taylor: Taking taylor expansion of (/ 1 (- im)) in im * [misc]taylor: Taking taylor expansion of (- im) in im * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (exp (/ 1 (- im))) into (exp (/ -1 im)) * [misc]taylor: Taking taylor expansion of (* (* 0.5 (sin (/ 1 (- re)))) (+ (exp (- 0 (/ 1 (- im)))) (exp (/ 1 (- im))))) in re * [misc]taylor: Taking taylor expansion of (* 0.5 (sin (/ 1 (- re)))) in re * [misc]taylor: Taking taylor expansion of 0.5 in re * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- re))) in re * [misc]taylor: Taking taylor expansion of (/ 1 (- re)) in re * [misc]taylor: Taking taylor expansion of (- re) in re * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- re))) into (sin (/ -1 re)) * [misc]taylor: Taking taylor expansion of (+ (exp (- 0 (/ 1 (- im)))) (exp (/ 1 (- im)))) in re * [misc]taylor: Taking taylor expansion of (exp (- 0 (/ 1 (- im)))) in re * [misc]taylor: Taking taylor expansion of (- 0 (/ 1 (- im))) in re * [misc]taylor: Taking taylor expansion of 0 in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of (/ 1 (- im)) in re * [misc]taylor: Taking taylor expansion of (- im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (/ 1 (- im)) into (/ -1 im) * [misc]backup-simplify: Simplify (- (/ -1 im)) into (/ 1 im) * [misc]backup-simplify: Simplify (+ 0 (/ 1 im)) into (/ 1 im) * [misc]backup-simplify: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- im))) in re * [misc]taylor: Taking taylor expansion of (/ 1 (- im)) in re * [misc]taylor: Taking taylor expansion of (- im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (/ 1 (- im)) into (/ -1 im) * [misc]backup-simplify: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) * [misc]taylor: Taking taylor expansion of (* (* 0.5 (sin (/ 1 (- re)))) (+ (exp (- 0 (/ 1 (- im)))) (exp (/ 1 (- im))))) in re * [misc]taylor: Taking taylor expansion of (* 0.5 (sin (/ 1 (- re)))) in re * [misc]taylor: Taking taylor expansion of 0.5 in re * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- re))) in re * [misc]taylor: Taking taylor expansion of (/ 1 (- re)) in re * [misc]taylor: Taking taylor expansion of (- re) in re * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- re))) into (sin (/ -1 re)) * [misc]taylor: Taking taylor expansion of (+ (exp (- 0 (/ 1 (- im)))) (exp (/ 1 (- im)))) in re * [misc]taylor: Taking taylor expansion of (exp (- 0 (/ 1 (- im)))) in re * [misc]taylor: Taking taylor expansion of (- 0 (/ 1 (- im))) in re * [misc]taylor: Taking taylor expansion of 0 in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of (/ 1 (- im)) in re * [misc]taylor: Taking taylor expansion of (- im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (/ 1 (- im)) into (/ -1 im) * [misc]backup-simplify: Simplify (- (/ -1 im)) into (/ 1 im) * [misc]backup-simplify: Simplify (+ 0 (/ 1 im)) into (/ 1 im) * [misc]backup-simplify: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- im))) in re * [misc]taylor: Taking taylor expansion of (/ 1 (- im)) in re * [misc]taylor: Taking taylor expansion of (- im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (/ 1 (- im)) into (/ -1 im) * [misc]backup-simplify: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) * [misc]backup-simplify: Simplify (* 0.5 (sin (/ -1 re))) into (* 0.5 (sin (/ -1 re))) * [misc]backup-simplify: Simplify (+ (exp (/ 1 im)) (exp (/ -1 im))) into (+ (exp (/ 1 im)) (exp (/ -1 im))) * [misc]backup-simplify: Simplify (* (* 0.5 (sin (/ -1 re))) (+ (exp (/ 1 im)) (exp (/ -1 im)))) into (* 0.5 (* (+ (exp (/ 1 im)) (exp (/ -1 im))) (sin (/ -1 re)))) * [misc]taylor: Taking taylor expansion of (* 0.5 (* (+ (exp (/ 1 im)) (exp (/ -1 im))) (sin (/ -1 re)))) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (* (+ (exp (/ 1 im)) (exp (/ -1 im))) (sin (/ -1 re))) in im * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 im)) (exp (/ -1 im))) in im * [misc]taylor: Taking taylor expansion of (exp (/ 1 im)) in im * [misc]taylor: Taking taylor expansion of (/ 1 im) in im * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) * [misc]taylor: Taking taylor expansion of (exp (/ -1 im)) in im * [misc]taylor: Taking taylor expansion of (/ -1 im) in im * [misc]taylor: Taking taylor expansion of -1 in im * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) * [misc]taylor: Taking taylor expansion of (sin (/ -1 re)) in im * [misc]taylor: Taking taylor expansion of (/ -1 re) in im * [misc]taylor: Taking taylor expansion of -1 in im * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]backup-simplify: Simplify (/ -1 re) into (/ -1 re) * [misc]backup-simplify: Simplify (sin (/ -1 re)) into (sin (/ -1 re)) * [misc]backup-simplify: Simplify (cos (/ -1 re)) into (cos (/ -1 re)) * [misc]backup-simplify: Simplify (+ (exp (/ 1 im)) (exp (/ -1 im))) into (+ (exp (/ 1 im)) (exp (/ -1 im))) * [misc]backup-simplify: Simplify (* (sin (/ -1 re)) 1) into (sin (/ -1 re)) * [misc]backup-simplify: Simplify (* (cos (/ -1 re)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1 re)) 0) into (sin (/ -1 re)) * [misc]backup-simplify: Simplify (* (+ (exp (/ 1 im)) (exp (/ -1 im))) (sin (/ -1 re))) into (* (+ (exp (/ 1 im)) (exp (/ -1 im))) (sin (/ -1 re))) * [misc]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)))) * [misc]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)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (* 0 (sin (/ -1 re)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 0.5 (sin (/ -1 re))) 0) (* 0 (+ (exp (/ 1 im)) (exp (/ -1 im))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 re)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 re) (+ (* (/ -1 re) (/ 0 re)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 re)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ (exp (/ 1 im)) (exp (/ -1 im))) 0) (* 0 (sin (/ -1 re)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (* 0 (* (+ (exp (/ 1 im)) (exp (/ -1 im))) (sin (/ -1 re))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 im) (/ 0 (- im))) (* 0 (/ 0 (- im))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 im) (/ 0 (- im))) (* 0 (/ 0 (- im))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (sin (/ -1 re))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 0.5 (sin (/ -1 re))) 0) (+ (* 0 0) (* 0 (+ (exp (/ 1 im)) (exp (/ -1 im)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 re)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 re) (+ (* (/ -1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 re)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ (exp (/ 1 im)) (exp (/ -1 im))) 0) (+ (* 0 0) (* 0 (sin (/ -1 re))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* (+ (exp (/ 1 im)) (exp (/ -1 im))) (sin (/ -1 re)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 im) (/ 0 (- im))) (* 0 (/ 0 (- im))) (* 0 (/ 0 (- im))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 im) (/ 0 (- im))) (* 0 (/ 0 (- im))) (* 0 (/ 0 (- im))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 re)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 0.5 (sin (/ -1 re))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (exp (/ 1 im)) (exp (/ -1 im))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 0.5 (* (+ (exp (/ 1 im)) (exp (/ -1 im))) (sin (/ -1 re)))) into (* 0.5 (* (+ (exp (/ 1 im)) (exp (/ -1 im))) (sin (/ -1 re)))) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 2 ] rewriting at (2 2) * * * * [misc]progress: [ 2 / 2 ] rewriting at (2) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* 0.5 (sin re)) (+ 2 (+ (sqr im) (* 1/12 (pow im 4))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (158 enodes) * * [misc]simplify: iters left: 2 (310 enodes) * * [misc]simplify: iters left: 1 (416 enodes) * [exit]simplify: Simplified to (* (fma 1/12 (pow im 4) (fma im im 2)) (* (sin re) 0.5)) * * * * [misc]progress: [ 2 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* 0.5 (sin re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (180 enodes) * * [misc]simplify: iters left: 1 (237 enodes) * [exit]simplify: Simplified to (fma (exp (/ 1 im)) (* 0.5 (sin re)) (/ (* 0.5 (sin re)) (exp (/ 1 im)))) * * * * [misc]progress: [ 3 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* 0.5 (sin re)) (+ (exp (/ 1 im)) (exp (/ -1 im)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (103 enodes) * * [misc]simplify: iters left: 1 (107 enodes) * [exit]simplify: Simplified to (* (* (sin re) 0.5) (+ (exp (/ 1 im)) (exp (/ -1 im)))) * * * * [misc]progress: [ 4 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1.0 re) (* 0.5 (* (sqr im) re))) (* 0.16666666666666666 (pow re 3))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (114 enodes) * [exit]simplify: Simplified to (- (fma (* im im) (* 0.5 re) (* re 1.0)) (* (* re re) (* re 0.16666666666666666))) * * * * [misc]progress: [ 5 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (* 0.5 (* (+ (exp (/ 1 im)) (exp (- (/ 1 im)))) (sin (/ 1 re)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (186 enodes) * * [misc]simplify: iters left: 1 (248 enodes) * [exit]simplify: Simplified to (* (fma (sin (/ 1 re)) (exp (/ 1 im)) (/ (sin (/ 1 re)) (exp (/ 1 im)))) 0.5) * * * * [misc]progress: [ 6 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (* 0.5 (* (+ (exp (/ 1 im)) (exp (/ -1 im))) (sin (/ -1 re)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (114 enodes) * * [misc]simplify: iters left: 1 (124 enodes) * [exit]simplify: Simplified to (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (* (sin (/ -1 re)) 0.5)) * * * * [misc]progress: [ 7 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (+ (exp (- 0 im)) (exp im))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (expm1 (+ (exp im) (exp (- im)))) * [exit]simplify: Simplified to (expm1 (+ (exp im) (exp (- im)))) * * * * [misc]progress: [ 8 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (+ (exp (- 0 im)) (exp im))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (log1p (+ (exp im) (exp (- im)))) * [exit]simplify: Simplified to (log1p (+ (exp im) (exp (- im)))) * * * * [misc]progress: [ 9 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (* (exp (exp (- 0 im))) (exp (exp im))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (exp (+ (exp im) (exp (- im)))) * [exit]simplify: Simplified to (exp (+ (exp im) (exp (- im)))) * * * * [misc]progress: [ 12 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (exp (- 0 im)) (exp im))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (log (+ (exp im) (exp (- im)))) * [exit]simplify: Simplified to (log (+ (exp im) (exp (- im)))) * * * * [misc]progress: [ 14 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (+ (exp (- 0 im)) (exp im))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (exp (+ (exp im) (exp (- im)))) * [exit]simplify: Simplified to (exp (+ (exp im) (exp (- im)))) * * * * [misc]progress: [ 15 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (exp (- 0 im)) (exp im))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (cbrt (+ (exp im) (exp (- im)))) * [exit]simplify: Simplified to (cbrt (+ (exp im) (exp (- im)))) * * * * [misc]progress: [ 16 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (+ (exp (- 0 im)) (exp im))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (169 enodes) * * [misc]simplify: iters left: 1 (401 enodes) * [exit]simplify: Simplified to (cube (+ (exp im) (exp (- im)))) * [exit]simplify: Simplified to (cube (+ (exp im) (exp (- im)))) * * * * [misc]progress: [ 17 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (exp (- 0 im)) (exp im))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (sqrt (+ (exp im) (exp (- im)))) * [exit]simplify: Simplified to (sqrt (+ (exp im) (exp (- im)))) * * * * [misc]progress: [ 18 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (exp (- 0 im)) 3) (pow (exp im) 3)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (64 enodes) * [exit]simplify: Simplified to (- (cube (exp (- im))) (cube (exp im))) * [exit]simplify: Simplified to (- (cube (exp (- im))) (cube (exp im))) * [enter]simplify: Simplifying (+ (sqr (exp (- 0 im))) (- (sqr (exp im)) (* (exp (- 0 im)) (exp im)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (104 enodes) * * [misc]simplify: iters left: 1 (169 enodes) * [exit]simplify: Simplified to (fma (exp (- im)) (exp (- im)) (expm1 (+ im im))) * [exit]simplify: Simplified to (fma (exp (- im)) (exp (- im)) (expm1 (+ im im))) * * * * [misc]progress: [ 20 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqr (exp (- 0 im))) (sqr (exp im))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (87 enodes) * [exit]simplify: Simplified to (- (* (exp (- im)) (exp (- im))) (* (exp im) (exp im))) * [exit]simplify: Simplified to (- (* (exp (- im)) (exp (- im))) (* (exp im) (exp im))) * [enter]simplify: Simplifying (- (exp (- 0 im)) (exp im)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (- (exp (- im)) (exp im)) * [exit]simplify: Simplified to (- (exp (- im)) (exp im)) * * * * [misc]progress: [ 21 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (exp (- 0 im)) (exp im)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (+ (exp im) (exp (- im))) * [exit]simplify: Simplified to (+ (exp im) (exp (- im))) * * * * [misc]progress: [ 22 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (* (* 0.5 (sin re)) (+ (exp (- 0 im)) (exp im)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (147 enodes) * * [misc]simplify: iters left: 1 (162 enodes) * [exit]simplify: Simplified to (expm1 (fma (* 0.5 (sin re)) (exp im) (/ (* 0.5 (sin re)) (exp im)))) * [exit]simplify: Simplified to (expm1 (fma (* 0.5 (sin re)) (exp im) (/ (* 0.5 (sin re)) (exp im)))) * * * * [misc]progress: [ 24 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (* (* 0.5 (sin re)) (+ (exp (- 0 im)) (exp im)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (147 enodes) * * [misc]simplify: iters left: 1 (162 enodes) * [exit]simplify: Simplified to (log1p (fma (* 0.5 (sin re)) (exp im) (/ (* 0.5 (sin re)) (exp im)))) * [exit]simplify: Simplified to (log1p (fma (* 0.5 (sin re)) (exp im) (/ (* 0.5 (sin re)) (exp im)))) * * * * [misc]progress: [ 25 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* 0.5 (sin re)) (+ (exp (- 0 im)) (exp im))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (124 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (* 0.5 (fma (exp im) (sin re) (/ (sin re) (exp im)))) * [exit]simplify: Simplified to (* 0.5 (fma (exp im) (sin re) (/ (sin re) (exp im)))) * * * * [misc]progress: [ 26 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (* 0.5 (sin re))) (log (+ (exp (- 0 im)) (exp im)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * [exit]simplify: Simplified to (+ (log (+ (exp im) (exp (- im)))) (log (* (sin re) 0.5))) * [exit]simplify: Simplified to (+ (log (+ (exp im) (exp (- im)))) (log (* (sin re) 0.5))) * * * * [misc]progress: [ 28 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (* 0.5 (sin re)) (+ (exp (- 0 im)) (exp im)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (167 enodes) * * [misc]simplify: iters left: 1 (185 enodes) * [exit]simplify: Simplified to (log (* (fma 0.5 (exp im) (/ 0.5 (exp im))) (sin re))) * [exit]simplify: Simplified to (log (* (fma 0.5 (exp im) (/ 0.5 (exp im))) (sin re))) * * * * [misc]progress: [ 29 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (* 0.5 (sin re)) (+ (exp (- 0 im)) (exp im)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (114 enodes) * * [misc]simplify: iters left: 2 (206 enodes) * * [misc]simplify: iters left: 1 (234 enodes) * [exit]simplify: Simplified to (pow (exp 0.5) (fma (exp im) (sin re) (/ (sin re) (exp im)))) * [exit]simplify: Simplified to (pow (exp 0.5) (fma (exp im) (sin re) (/ (sin re) (exp im)))) * * * * [misc]progress: [ 30 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cube (* 0.5 (sin re))) (cube (+ (exp (- 0 im)) (exp im)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (109 enodes) * * [misc]simplify: iters left: 2 (320 enodes) * [exit]simplify: Simplified to (* (cube (+ (exp im) (exp (- im)))) (cube (* (sin re) 0.5))) * [exit]simplify: Simplified to (* (cube (+ (exp im) (exp (- im)))) (cube (* (sin re) 0.5))) * * * * [misc]progress: [ 31 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (* 0.5 (sin re)) (+ (exp (- 0 im)) (exp im)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (147 enodes) * * [misc]simplify: iters left: 1 (162 enodes) * [exit]simplify: Simplified to (cbrt (fma (* 0.5 (sin re)) (exp im) (/ (* 0.5 (sin re)) (exp im)))) * [exit]simplify: Simplified to (cbrt (fma (* 0.5 (sin re)) (exp im) (/ (* 0.5 (sin re)) (exp im)))) * * * * [misc]progress: [ 32 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (* (* 0.5 (sin re)) (+ (exp (- 0 im)) (exp im)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (157 enodes) * * [misc]simplify: iters left: 2 (413 enodes) * [exit]simplify: Simplified to (cube (* (sin re) (fma (exp im) 0.5 (/ 0.5 (exp im))))) * [exit]simplify: Simplified to (cube (* (sin re) (fma (exp im) 0.5 (/ 0.5 (exp im))))) * * * * [misc]progress: [ 33 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* 0.5 (sin re))) (cbrt (+ (exp (- 0 im)) (exp im)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (exp im) (exp (- im)))) (cbrt (* (sin re) 0.5))) * [exit]simplify: Simplified to (* (cbrt (+ (exp im) (exp (- im)))) (cbrt (* (sin re) 0.5))) * * * * [misc]progress: [ 34 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (* 0.5 (sin re)) (+ (exp (- 0 im)) (exp im)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (147 enodes) * * [misc]simplify: iters left: 1 (162 enodes) * [exit]simplify: Simplified to (sqrt (fma (* 0.5 (sin re)) (exp im) (/ (* 0.5 (sin re)) (exp im)))) * [exit]simplify: Simplified to (sqrt (fma (* 0.5 (sin re)) (exp im) (/ (* 0.5 (sin re)) (exp im)))) * * * * [misc]progress: [ 35 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* 0.5 (sin re))) (sqrt (+ (exp (- 0 im)) (exp im)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (exp im) (exp (- im)))) (sqrt (* (sin re) 0.5))) * [exit]simplify: Simplified to (* (sqrt (+ (exp im) (exp (- im)))) (sqrt (* (sin re) 0.5))) * * * * [misc]progress: [ 36 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* 0.5 (sin re)) (exp (- 0 im))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (* (/ 0.5 (exp im)) (sin re)) * [exit]simplify: Simplified to (* (/ 0.5 (exp im)) (sin re)) * [enter]simplify: Simplifying (* (* 0.5 (sin re)) (exp im)) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (19 enodes) * [exit]simplify: Simplified to (* (* (sin re) 0.5) (exp im)) * [exit]simplify: Simplified to (* (* (sin re) 0.5) (exp im)) * * * * [misc]progress: [ 38 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (* (exp (- 0 im)) (* 0.5 (sin re))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (* (/ 0.5 (exp im)) (sin re)) * [exit]simplify: Simplified to (* (/ 0.5 (exp im)) (sin re)) * [enter]simplify: Simplifying (* (exp im) (* 0.5 (sin re))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (19 enodes) * [exit]simplify: Simplified to (* 0.5 (* (exp im) (sin re))) * [exit]simplify: Simplified to (* 0.5 (* (exp im) (sin re))) * * * * [misc]progress: [ 39 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* 0.5 (sin re)) 1) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (* 0.5 (sin re)) * [exit]simplify: Simplified to (* 0.5 (sin re)) * * * * [misc]progress: [ 40 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* 0.5 (sin re)) 1) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (* 0.5 (sin re)) * [exit]simplify: Simplified to (* 0.5 (sin re)) * * * * [misc]progress: [ 41 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin re) (+ (exp (- 0 im)) (exp im))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (fma (sin re) (exp im) (/ (sin re) (exp im))) * [exit]simplify: Simplified to (fma (sin re) (exp im) (/ (sin re) (exp im))) * * * * [misc]progress: [ 42 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* 0.5 (sin re)) (- (pow (exp (- 0 im)) 3) (pow (exp im) 3))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (* (- (cube (exp (- im))) (cube (exp im))) (* (sin re) 0.5)) * [exit]simplify: Simplified to (* (- (cube (exp (- im))) (cube (exp im))) (* (sin re) 0.5)) * * * * [misc]progress: [ 43 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* 0.5 (sin re)) (- (sqr (exp (- 0 im))) (sqr (exp im)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (178 enodes) * * [misc]simplify: iters left: 1 (370 enodes) * [exit]simplify: Simplified to (* (+ (exp im) (exp (- im))) (* (- (exp (- im)) (exp im)) (* (sin re) 0.5))) * [exit]simplify: Simplified to (* (+ (exp im) (exp (- im))) (* (- (exp (- im)) (exp im)) (* (sin re) 0.5))) * * * * [misc]progress: [ 44 / 44 ] simplifiying candidate # * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 2 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 3 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (sqr (sqrt (+ (exp im) (exp (- im))))) in (im) around 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (+ (exp im) (exp (- im))))) in im * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp im) (exp (- im)))) in im * [misc]taylor: Taking taylor expansion of (+ (exp im) (exp (- im))) in im * [misc]taylor: Taking taylor expansion of (exp im) in im * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (- im)) in im * [misc]taylor: Taking taylor expansion of (- im) in im * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (+ (exp im) (exp (- im))))) in im * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp im) (exp (- im)))) in im * [misc]taylor: Taking taylor expansion of (+ (exp im) (exp (- im))) in im * [misc]taylor: Taking taylor expansion of (exp im) in im * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (- im)) in im * [misc]taylor: Taking taylor expansion of (- im) in im * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (* (sqrt 2) (sqrt 2)) into (sqr (sqrt 2)) * [misc]backup-simplify: Simplify (sqr (sqrt 2)) into (sqr (sqrt 2)) * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (+ 1/2 1/2) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (sqr 0) (+)) (* 2 (sqrt 2))) into (/ 1/2 (sqrt 2)) * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (/ 1/2 (sqrt 2))) (+ (* 0 0) (* (/ 1/2 (sqrt 2)) (sqrt 2)))) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 1/6 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -1 3) 6)) (* (/ (pow -1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into -1/6 * [misc]backup-simplify: Simplify (+ 1/6 -1/6) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt 2)))))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 (/ 1/2 (sqrt 2))) (+ (* (/ 1/2 (sqrt 2)) 0) (* 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 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 * [misc]backup-simplify: Simplify (+ 1/24 1/24) into 1/12 * [misc]backup-simplify: Simplify (/ (- 1/12 (sqr (/ 1/2 (sqrt 2))) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into (* 1/2 (/ (- 1/12 (* 1/4 (/ 1 (sqr (sqrt 2))))) (sqrt 2))) * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* 1/2 (/ (- 1/12 (* 1/4 (/ 1 (sqr (sqrt 2))))) (sqrt 2)))) (+ (* 0 0) (+ (* (/ 1/2 (sqrt 2)) (/ 1/2 (sqrt 2))) (+ (* 0 0) (* (* 1/2 (/ (- 1/12 (* 1/4 (/ 1 (sqr (sqrt 2))))) (sqrt 2))) (sqrt 2)))))) into 1/12 * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]backup-simplify: Simplify (+ (* 1/12 (pow im 4)) (+ (* 1 (sqr im)) (sqr (sqrt 2)))) into (+ (sqr (sqrt 2)) (+ (sqr im) (* 1/12 (pow im 4)))) * [misc]approximate: Taking taylor expansion of (sqr (sqrt (+ (exp (/ 1 im)) (exp (- (/ 1 im)))))) in (im) around 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (+ (exp (/ 1 im)) (exp (- (/ 1 im)))))) in im * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (/ 1 im)) (exp (- (/ 1 im))))) in im * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 im)) (exp (- (/ 1 im)))) in im * [misc]taylor: Taking taylor expansion of (exp (/ 1 im)) in im * [misc]taylor: Taking taylor expansion of (/ 1 im) in im * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) * [misc]taylor: Taking taylor expansion of (exp (- (/ 1 im))) in im * [misc]taylor: Taking taylor expansion of (- (/ 1 im)) in im * [misc]taylor: Taking taylor expansion of (/ 1 im) in im * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (exp (- (/ 1 im))) into (exp (- (/ 1 im))) * [misc]backup-simplify: Simplify (+ (exp (/ 1 im)) (exp (- (/ 1 im)))) into (+ (exp (/ 1 im)) (exp (- (/ 1 im)))) * [misc]backup-simplify: Simplify (sqrt (+ (exp (/ 1 im)) (exp (- (/ 1 im))))) into (sqrt (+ (exp (/ 1 im)) (exp (- (/ 1 im))))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (/ 1 im)) (exp (- (/ 1 im))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (+ (exp (/ 1 im)) (exp (- (/ 1 im)))))) in im * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (/ 1 im)) (exp (- (/ 1 im))))) in im * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 im)) (exp (- (/ 1 im)))) in im * [misc]taylor: Taking taylor expansion of (exp (/ 1 im)) in im * [misc]taylor: Taking taylor expansion of (/ 1 im) in im * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) * [misc]taylor: Taking taylor expansion of (exp (- (/ 1 im))) in im * [misc]taylor: Taking taylor expansion of (- (/ 1 im)) in im * [misc]taylor: Taking taylor expansion of (/ 1 im) in im * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (exp (- (/ 1 im))) into (exp (- (/ 1 im))) * [misc]backup-simplify: Simplify (+ (exp (/ 1 im)) (exp (- (/ 1 im)))) into (+ (exp (/ 1 im)) (exp (- (/ 1 im)))) * [misc]backup-simplify: Simplify (sqrt (+ (exp (/ 1 im)) (exp (- (/ 1 im))))) into (sqrt (+ (exp (/ 1 im)) (exp (- (/ 1 im))))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (/ 1 im)) (exp (- (/ 1 im))))))) into 0 * [misc]backup-simplify: Simplify (* (sqrt (+ (exp (/ 1 im)) (exp (- (/ 1 im))))) (sqrt (+ (exp (/ 1 im)) (exp (- (/ 1 im)))))) into (+ (exp (/ 1 im)) (exp (- (/ 1 im)))) * [misc]backup-simplify: Simplify (+ (exp (/ 1 im)) (exp (- (/ 1 im)))) into (+ (exp (/ 1 im)) (exp (- (/ 1 im)))) * [misc]backup-simplify: Simplify (+ (* (sqrt (+ (exp (/ 1 im)) (exp (- (/ 1 im))))) 0) (* 0 (sqrt (+ (exp (/ 1 im)) (exp (- (/ 1 im))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (+ (exp (/ 1 im)) (exp (- (/ 1 im))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (+ (exp (/ 1 im)) (exp (- (/ 1 im))))) 0) (+ (* 0 0) (* 0 (sqrt (+ (exp (/ 1 im)) (exp (- (/ 1 im)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ 1 im)) (exp (- (/ 1 im))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (+ (exp (/ 1 im)) (exp (- (/ 1 im))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (+ (exp (/ 1 im)) (exp (- (/ 1 im))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ 1 im)) (exp (- (/ 1 im))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (+ (exp (/ 1 im)) (exp (- (/ 1 im))))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (+ (exp (/ 1 im)) (exp (- (/ 1 im)))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ 1 im)) (exp (- (/ 1 im))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (+ (exp (/ 1 im)) (exp (- (/ 1 im))))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (+ (exp (/ 1 im)) (exp (- (/ 1 im))))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ 1 im)) (exp (- (/ 1 im))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (+ (exp (/ 1 im)) (exp (- (/ 1 im))))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (+ (exp (/ 1 im)) (exp (- (/ 1 im)))))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (exp (/ 1 im)) (exp (- (/ 1 im)))) into (+ (exp (/ 1 im)) (exp (- (/ 1 im)))) * [misc]approximate: Taking taylor expansion of (sqr (sqrt (+ (exp (/ 1 (- im))) (exp (- (/ 1 (- im))))))) in (im) around 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (+ (exp (/ 1 (- im))) (exp (- (/ 1 (- im))))))) in im * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (/ 1 (- im))) (exp (- (/ 1 (- im)))))) in im * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 (- im))) (exp (- (/ 1 (- im))))) in im * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- im))) in im * [misc]taylor: Taking taylor expansion of (/ 1 (- im)) in im * [misc]taylor: Taking taylor expansion of (- im) in im * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (exp (/ 1 (- im))) into (exp (/ -1 im)) * [misc]taylor: Taking taylor expansion of (exp (- (/ 1 (- im)))) in im * [misc]taylor: Taking taylor expansion of (- (/ 1 (- im))) in im * [misc]taylor: Taking taylor expansion of (/ 1 (- im)) in im * [misc]taylor: Taking taylor expansion of (- im) in im * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (exp (- (/ 1 (- im)))) into (exp (/ 1 im)) * [misc]backup-simplify: Simplify (+ (exp (/ -1 im)) (exp (/ 1 im))) into (+ (exp (/ 1 im)) (exp (/ -1 im))) * [misc]backup-simplify: Simplify (sqrt (+ (exp (/ 1 im)) (exp (/ -1 im)))) into (sqrt (+ (exp (/ 1 im)) (exp (/ -1 im)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (/ 1 im)) (exp (/ -1 im)))))) into 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (+ (exp (/ 1 (- im))) (exp (- (/ 1 (- im))))))) in im * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (/ 1 (- im))) (exp (- (/ 1 (- im)))))) in im * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 (- im))) (exp (- (/ 1 (- im))))) in im * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- im))) in im * [misc]taylor: Taking taylor expansion of (/ 1 (- im)) in im * [misc]taylor: Taking taylor expansion of (- im) in im * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (exp (/ 1 (- im))) into (exp (/ -1 im)) * [misc]taylor: Taking taylor expansion of (exp (- (/ 1 (- im)))) in im * [misc]taylor: Taking taylor expansion of (- (/ 1 (- im))) in im * [misc]taylor: Taking taylor expansion of (/ 1 (- im)) in im * [misc]taylor: Taking taylor expansion of (- im) in im * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (exp (- (/ 1 (- im)))) into (exp (/ 1 im)) * [misc]backup-simplify: Simplify (+ (exp (/ -1 im)) (exp (/ 1 im))) into (+ (exp (/ 1 im)) (exp (/ -1 im))) * [misc]backup-simplify: Simplify (sqrt (+ (exp (/ 1 im)) (exp (/ -1 im)))) into (sqrt (+ (exp (/ 1 im)) (exp (/ -1 im)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (/ 1 im)) (exp (/ -1 im)))))) into 0 * [misc]backup-simplify: Simplify (* (sqrt (+ (exp (/ 1 im)) (exp (/ -1 im)))) (sqrt (+ (exp (/ 1 im)) (exp (/ -1 im))))) into (+ (exp (/ 1 im)) (exp (/ -1 im))) * [misc]backup-simplify: Simplify (+ (exp (/ 1 im)) (exp (/ -1 im))) into (+ (exp (/ 1 im)) (exp (/ -1 im))) * [misc]backup-simplify: Simplify (+ (* (sqrt (+ (exp (/ 1 im)) (exp (/ -1 im)))) 0) (* 0 (sqrt (+ (exp (/ 1 im)) (exp (/ -1 im)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (+ (exp (/ 1 im)) (exp (/ -1 im)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (+ (exp (/ 1 im)) (exp (/ -1 im)))) 0) (+ (* 0 0) (* 0 (sqrt (+ (exp (/ 1 im)) (exp (/ -1 im))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ 1 im)) (exp (/ -1 im)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (+ (exp (/ 1 im)) (exp (/ -1 im)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (+ (exp (/ 1 im)) (exp (/ -1 im)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ 1 im)) (exp (/ -1 im)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (+ (exp (/ 1 im)) (exp (/ -1 im)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (+ (exp (/ 1 im)) (exp (/ -1 im))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ 1 im)) (exp (/ -1 im)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (+ (exp (/ 1 im)) (exp (/ -1 im)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (+ (exp (/ 1 im)) (exp (/ -1 im)))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ 1 im)) (exp (/ -1 im)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (+ (exp (/ 1 im)) (exp (/ -1 im)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (+ (exp (/ 1 im)) (exp (/ -1 im))))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (exp (/ 1 im)) (exp (/ -1 im))) into (+ (exp (/ 1 im)) (exp (/ -1 im))) * * * * [misc]progress: [ 2 / 3 ] generating series at (2 2 1 1) * [misc]approximate: Taking taylor expansion of (+ (exp im) (exp (- im))) in (im) around 0 * [misc]taylor: Taking taylor expansion of (+ (exp im) (exp (- im))) in im * [misc]taylor: Taking taylor expansion of (exp im) in im * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (- im)) in im * [misc]taylor: Taking taylor expansion of (- im) in im * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (+ (exp im) (exp (- im))) in im * [misc]taylor: Taking taylor expansion of (exp im) in im * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (- im)) in im * [misc]taylor: Taking taylor expansion of (- im) in im * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (+ 1/2 1/2) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 1/6 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -1 3) 6)) (* (/ (pow -1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into -1/6 * [misc]backup-simplify: Simplify (+ 1/6 -1/6) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 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 * [misc]backup-simplify: Simplify (+ 1/24 1/24) into 1/12 * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]backup-simplify: Simplify (+ (* 1/12 (pow im 4)) (+ (* 1 (sqr im)) 2)) into (+ 2 (+ (sqr im) (* 1/12 (pow im 4)))) * [misc]approximate: Taking taylor expansion of (+ (exp (/ 1 im)) (exp (- (/ 1 im)))) in (im) around 0 * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 im)) (exp (- (/ 1 im)))) in im * [misc]taylor: Taking taylor expansion of (exp (/ 1 im)) in im * [misc]taylor: Taking taylor expansion of (/ 1 im) in im * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) * [misc]taylor: Taking taylor expansion of (exp (- (/ 1 im))) in im * [misc]taylor: Taking taylor expansion of (- (/ 1 im)) in im * [misc]taylor: Taking taylor expansion of (/ 1 im) in im * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (exp (- (/ 1 im))) into (exp (- (/ 1 im))) * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 im)) (exp (- (/ 1 im)))) in im * [misc]taylor: Taking taylor expansion of (exp (/ 1 im)) in im * [misc]taylor: Taking taylor expansion of (/ 1 im) in im * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) * [misc]taylor: Taking taylor expansion of (exp (- (/ 1 im))) in im * [misc]taylor: Taking taylor expansion of (- (/ 1 im)) in im * [misc]taylor: Taking taylor expansion of (/ 1 im) in im * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (exp (- (/ 1 im))) into (exp (- (/ 1 im))) * [misc]backup-simplify: Simplify (+ (exp (/ 1 im)) (exp (- (/ 1 im)))) into (+ (exp (/ 1 im)) (exp (- (/ 1 im)))) * [misc]backup-simplify: Simplify (+ (exp (/ 1 im)) (exp (- (/ 1 im)))) into (+ (exp (/ 1 im)) (exp (- (/ 1 im)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (exp (/ 1 im)) (exp (- (/ 1 im)))) into (+ (exp (/ 1 im)) (exp (- (/ 1 im)))) * [misc]approximate: Taking taylor expansion of (+ (exp (/ 1 (- im))) (exp (- (/ 1 (- im))))) in (im) around 0 * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 (- im))) (exp (- (/ 1 (- im))))) in im * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- im))) in im * [misc]taylor: Taking taylor expansion of (/ 1 (- im)) in im * [misc]taylor: Taking taylor expansion of (- im) in im * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (exp (/ 1 (- im))) into (exp (/ -1 im)) * [misc]taylor: Taking taylor expansion of (exp (- (/ 1 (- im)))) in im * [misc]taylor: Taking taylor expansion of (- (/ 1 (- im))) in im * [misc]taylor: Taking taylor expansion of (/ 1 (- im)) in im * [misc]taylor: Taking taylor expansion of (- im) in im * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (exp (- (/ 1 (- im)))) into (exp (/ 1 im)) * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 (- im))) (exp (- (/ 1 (- im))))) in im * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- im))) in im * [misc]taylor: Taking taylor expansion of (/ 1 (- im)) in im * [misc]taylor: Taking taylor expansion of (- im) in im * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (exp (/ 1 (- im))) into (exp (/ -1 im)) * [misc]taylor: Taking taylor expansion of (exp (- (/ 1 (- im)))) in im * [misc]taylor: Taking taylor expansion of (- (/ 1 (- im))) in im * [misc]taylor: Taking taylor expansion of (/ 1 (- im)) in im * [misc]taylor: Taking taylor expansion of (- im) in im * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (exp (- (/ 1 (- im)))) into (exp (/ 1 im)) * [misc]backup-simplify: Simplify (+ (exp (/ -1 im)) (exp (/ 1 im))) into (+ (exp (/ 1 im)) (exp (/ -1 im))) * [misc]backup-simplify: Simplify (+ (exp (/ 1 im)) (exp (/ -1 im))) into (+ (exp (/ 1 im)) (exp (/ -1 im))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (exp (/ 1 im)) (exp (/ -1 im))) into (+ (exp (/ 1 im)) (exp (/ -1 im))) * * * * [misc]progress: [ 3 / 3 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (* (* 0.5 (sin re)) (sqr (sqrt (+ (exp im) (exp (- im)))))) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (* (* 0.5 (sin re)) (sqr (sqrt (+ (exp im) (exp (- im)))))) in im * [misc]taylor: Taking taylor expansion of (* 0.5 (sin re)) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (sin re) in im * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]backup-simplify: Simplify (sin re) into (sin re) * [misc]backup-simplify: Simplify (cos re) into (cos re) * [misc]taylor: Taking taylor expansion of (sqr (sqrt (+ (exp im) (exp (- im))))) in im * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp im) (exp (- im)))) in im * [misc]taylor: Taking taylor expansion of (+ (exp im) (exp (- im))) in im * [misc]taylor: Taking taylor expansion of (exp im) in im * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (- im)) in im * [misc]taylor: Taking taylor expansion of (- im) in im * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]taylor: Taking taylor expansion of (* (* 0.5 (sin re)) (sqr (sqrt (+ (exp im) (exp (- im)))))) in re * [misc]taylor: Taking taylor expansion of (* 0.5 (sin re)) in re * [misc]taylor: Taking taylor expansion of 0.5 in re * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (sin re) in re * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (+ (exp im) (exp (- im))))) in re * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp im) (exp (- im)))) in re * [misc]taylor: Taking taylor expansion of (+ (exp im) (exp (- im))) in re * [misc]taylor: Taking taylor expansion of (exp im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (exp im) into (exp im) * [misc]taylor: Taking taylor expansion of (exp (- im)) in re * [misc]taylor: Taking taylor expansion of (- im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (exp (- im)) into (exp (- im)) * [misc]backup-simplify: Simplify (+ (exp im) (exp (- im))) into (+ (exp im) (exp (- im))) * [misc]backup-simplify: Simplify (sqrt (+ (exp im) (exp (- im)))) into (sqrt (+ (exp im) (exp (- im)))) * [misc]backup-simplify: Simplify (* (exp im) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- im)) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp im) (exp (- im)))))) into 0 * [misc]taylor: Taking taylor expansion of (* (* 0.5 (sin re)) (sqr (sqrt (+ (exp im) (exp (- im)))))) in re * [misc]taylor: Taking taylor expansion of (* 0.5 (sin re)) in re * [misc]taylor: Taking taylor expansion of 0.5 in re * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (sin re) in re * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (+ (exp im) (exp (- im))))) in re * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp im) (exp (- im)))) in re * [misc]taylor: Taking taylor expansion of (+ (exp im) (exp (- im))) in re * [misc]taylor: Taking taylor expansion of (exp im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (exp im) into (exp im) * [misc]taylor: Taking taylor expansion of (exp (- im)) in re * [misc]taylor: Taking taylor expansion of (- im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (exp (- im)) into (exp (- im)) * [misc]backup-simplify: Simplify (+ (exp im) (exp (- im))) into (+ (exp im) (exp (- im))) * [misc]backup-simplify: Simplify (sqrt (+ (exp im) (exp (- im)))) into (sqrt (+ (exp im) (exp (- im)))) * [misc]backup-simplify: Simplify (* (exp im) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- im)) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp im) (exp (- im)))))) into 0 * [misc]backup-simplify: Simplify (* 0.5 0) into 0 * [misc]backup-simplify: Simplify (* (sqrt (+ (exp im) (exp (- im)))) (sqrt (+ (exp im) (exp (- im))))) into (+ (exp im) (exp (- im))) * [misc]backup-simplify: Simplify (* 0 (+ (exp im) (exp (- im)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (+ (exp im) (exp (- im)))) 0) (* 0 (sqrt (+ (exp im) (exp (- im)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 0.5 (+ (exp im) (exp (- im))))) into (+ (* 0.5 (exp im)) (* 0.5 (exp (- im)))) * [misc]taylor: Taking taylor expansion of (+ (* 0.5 (exp im)) (* 0.5 (exp (- im)))) in im * [misc]taylor: Taking taylor expansion of (* 0.5 (exp im)) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (exp im) in im * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (* 0.5 (exp (- im))) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (exp (- im)) in im * [misc]taylor: Taking taylor expansion of (- im) in im * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (* 0.5 1) into 0.5 * [misc]backup-simplify: Simplify (* 0.5 1) into 0.5 * [misc]backup-simplify: Simplify (+ 0.5 0.5) into 1.0 * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp im) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (+ (exp im) (exp (- im)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (+ (exp im) (exp (- im)))) 0) (+ (* 0 0) (* 0 (sqrt (+ (exp im) (exp (- im))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0.5 0) (* 0 (+ (exp im) (exp (- im)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (+ (* 0.5 1) (* 0 1)) into 0.5 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1 * [misc]backup-simplify: Simplify (+ (* 0.5 -1) (* 0 1)) into (- 0.5) * [misc]backup-simplify: Simplify (+ 0.5 (- 0.5)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp im) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- im)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp im) (exp (- im)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (+ (exp im) (exp (- im)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (+ (exp im) (exp (- im)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (+ (* 0.5 (- 1/6)) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into (- 0.08333333333333333) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0.5 0) (+ (* 0 0) (* (- 0.08333333333333333) (+ (exp im) (exp (- im))))))) into (- (+ (* 0.08333333333333333 (exp im)) (* 0.08333333333333333 (exp (- im))))) * [misc]taylor: Taking taylor expansion of (- (+ (* 0.08333333333333333 (exp im)) (* 0.08333333333333333 (exp (- im))))) in im * [misc]taylor: Taking taylor expansion of (+ (* 0.08333333333333333 (exp im)) (* 0.08333333333333333 (exp (- im)))) in im * [misc]taylor: Taking taylor expansion of (* 0.08333333333333333 (exp im)) in im * [misc]taylor: Taking taylor expansion of 0.08333333333333333 in im * [misc]backup-simplify: Simplify 0.08333333333333333 into 0.08333333333333333 * [misc]taylor: Taking taylor expansion of (exp im) in im * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (* 0.08333333333333333 (exp (- im))) in im * [misc]taylor: Taking taylor expansion of 0.08333333333333333 in im * [misc]backup-simplify: Simplify 0.08333333333333333 into 0.08333333333333333 * [misc]taylor: Taking taylor expansion of (exp (- im)) in im * [misc]taylor: Taking taylor expansion of (- im) in im * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (* 0.08333333333333333 1) into 0.08333333333333333 * [misc]backup-simplify: Simplify (* 0.08333333333333333 1) into 0.08333333333333333 * [misc]backup-simplify: Simplify (+ 0.08333333333333333 0.08333333333333333) into 0.16666666666666666 * [misc]backup-simplify: Simplify (- 0.16666666666666666) into (- 0.16666666666666666) * [misc]backup-simplify: Simplify (- 0.16666666666666666) into (- 0.16666666666666666) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (+ (* 0.5 1/2) (+ (* 0 1) (* 0 1))) into 0.25 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (+ (* 0.5 1/2) (+ (* 0 -1) (* 0 1))) into 0.25 * [misc]backup-simplify: Simplify (+ 0.25 0.25) into 0.5 * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]backup-simplify: Simplify (+ (* 0.5 (* (sqr im) re)) (+ (* (- 0.16666666666666666) (pow (* 1 re) 3)) (* 1.0 (* 1 re)))) into (- (+ (* 1.0 re) (* 0.5 (* (sqr im) re))) (* 0.16666666666666666 (pow re 3))) * [misc]approximate: Taking taylor expansion of (* (* 0.5 (sin (/ 1 re))) (sqr (sqrt (+ (exp (/ 1 im)) (exp (- (/ 1 im))))))) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (* (* 0.5 (sin (/ 1 re))) (sqr (sqrt (+ (exp (/ 1 im)) (exp (- (/ 1 im))))))) in im * [misc]taylor: Taking taylor expansion of (* 0.5 (sin (/ 1 re))) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (sin (/ 1 re)) in im * [misc]taylor: Taking taylor expansion of (/ 1 re) in im * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]backup-simplify: Simplify (/ 1 re) into (/ 1 re) * [misc]backup-simplify: Simplify (sin (/ 1 re)) into (sin (/ 1 re)) * [misc]backup-simplify: Simplify (cos (/ 1 re)) into (cos (/ 1 re)) * [misc]taylor: Taking taylor expansion of (sqr (sqrt (+ (exp (/ 1 im)) (exp (- (/ 1 im)))))) in im * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (/ 1 im)) (exp (- (/ 1 im))))) in im * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 im)) (exp (- (/ 1 im)))) in im * [misc]taylor: Taking taylor expansion of (exp (/ 1 im)) in im * [misc]taylor: Taking taylor expansion of (/ 1 im) in im * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) * [misc]taylor: Taking taylor expansion of (exp (- (/ 1 im))) in im * [misc]taylor: Taking taylor expansion of (- (/ 1 im)) in im * [misc]taylor: Taking taylor expansion of (/ 1 im) in im * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (exp (- (/ 1 im))) into (exp (- (/ 1 im))) * [misc]backup-simplify: Simplify (+ (exp (/ 1 im)) (exp (- (/ 1 im)))) into (+ (exp (/ 1 im)) (exp (- (/ 1 im)))) * [misc]backup-simplify: Simplify (sqrt (+ (exp (/ 1 im)) (exp (- (/ 1 im))))) into (sqrt (+ (exp (/ 1 im)) (exp (- (/ 1 im))))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (/ 1 im)) (exp (- (/ 1 im))))))) into 0 * [misc]taylor: Taking taylor expansion of (* (* 0.5 (sin (/ 1 re))) (sqr (sqrt (+ (exp (/ 1 im)) (exp (- (/ 1 im))))))) in re * [misc]taylor: Taking taylor expansion of (* 0.5 (sin (/ 1 re))) in re * [misc]taylor: Taking taylor expansion of 0.5 in re * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (sin (/ 1 re)) in re * [misc]taylor: Taking taylor expansion of (/ 1 re) in re * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 re)) into (sin (/ 1 re)) * [misc]taylor: Taking taylor expansion of (sqr (sqrt (+ (exp (/ 1 im)) (exp (- (/ 1 im)))))) in re * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (/ 1 im)) (exp (- (/ 1 im))))) in re * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 im)) (exp (- (/ 1 im)))) in re * [misc]taylor: Taking taylor expansion of (exp (/ 1 im)) in re * [misc]taylor: Taking taylor expansion of (/ 1 im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (/ 1 im) into (/ 1 im) * [misc]backup-simplify: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) * [misc]taylor: Taking taylor expansion of (exp (- (/ 1 im))) in re * [misc]taylor: Taking taylor expansion of (- (/ 1 im)) in re * [misc]taylor: Taking taylor expansion of (/ 1 im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (/ 1 im) into (/ 1 im) * [misc]backup-simplify: Simplify (- (/ 1 im)) into (- (/ 1 im)) * [misc]backup-simplify: Simplify (- (/ 1 im)) into (- (/ 1 im)) * [misc]backup-simplify: Simplify (exp (- (/ 1 im))) into (exp (- (/ 1 im))) * [misc]backup-simplify: Simplify (+ (exp (/ 1 im)) (exp (- (/ 1 im)))) into (+ (exp (/ 1 im)) (exp (- (/ 1 im)))) * [misc]backup-simplify: Simplify (sqrt (+ (exp (/ 1 im)) (exp (- (/ 1 im))))) into (sqrt (+ (exp (/ 1 im)) (exp (- (/ 1 im))))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 im)) into (- (/ 1 im)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (/ 1 im))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (/ 1 im)) (exp (- (/ 1 im))))))) into 0 * [misc]taylor: Taking taylor expansion of (* (* 0.5 (sin (/ 1 re))) (sqr (sqrt (+ (exp (/ 1 im)) (exp (- (/ 1 im))))))) in re * [misc]taylor: Taking taylor expansion of (* 0.5 (sin (/ 1 re))) in re * [misc]taylor: Taking taylor expansion of 0.5 in re * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (sin (/ 1 re)) in re * [misc]taylor: Taking taylor expansion of (/ 1 re) in re * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 re)) into (sin (/ 1 re)) * [misc]taylor: Taking taylor expansion of (sqr (sqrt (+ (exp (/ 1 im)) (exp (- (/ 1 im)))))) in re * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (/ 1 im)) (exp (- (/ 1 im))))) in re * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 im)) (exp (- (/ 1 im)))) in re * [misc]taylor: Taking taylor expansion of (exp (/ 1 im)) in re * [misc]taylor: Taking taylor expansion of (/ 1 im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (/ 1 im) into (/ 1 im) * [misc]backup-simplify: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) * [misc]taylor: Taking taylor expansion of (exp (- (/ 1 im))) in re * [misc]taylor: Taking taylor expansion of (- (/ 1 im)) in re * [misc]taylor: Taking taylor expansion of (/ 1 im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (/ 1 im) into (/ 1 im) * [misc]backup-simplify: Simplify (- (/ 1 im)) into (- (/ 1 im)) * [misc]backup-simplify: Simplify (- (/ 1 im)) into (- (/ 1 im)) * [misc]backup-simplify: Simplify (exp (- (/ 1 im))) into (exp (- (/ 1 im))) * [misc]backup-simplify: Simplify (+ (exp (/ 1 im)) (exp (- (/ 1 im)))) into (+ (exp (/ 1 im)) (exp (- (/ 1 im)))) * [misc]backup-simplify: Simplify (sqrt (+ (exp (/ 1 im)) (exp (- (/ 1 im))))) into (sqrt (+ (exp (/ 1 im)) (exp (- (/ 1 im))))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 im)) into (- (/ 1 im)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (/ 1 im))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (/ 1 im)) (exp (- (/ 1 im))))))) into 0 * [misc]backup-simplify: Simplify (* 0.5 (sin (/ 1 re))) into (* 0.5 (sin (/ 1 re))) * [misc]backup-simplify: Simplify (* (sqrt (+ (exp (/ 1 im)) (exp (- (/ 1 im))))) (sqrt (+ (exp (/ 1 im)) (exp (- (/ 1 im)))))) into (+ (exp (/ 1 im)) (exp (- (/ 1 im)))) * [misc]backup-simplify: Simplify (* (* 0.5 (sin (/ 1 re))) (+ (exp (/ 1 im)) (exp (- (/ 1 im))))) into (* 0.5 (* (+ (exp (/ 1 im)) (exp (- (/ 1 im)))) (sin (/ 1 re)))) * [misc]taylor: Taking taylor expansion of (* 0.5 (* (+ (exp (/ 1 im)) (exp (- (/ 1 im)))) (sin (/ 1 re)))) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (* (+ (exp (/ 1 im)) (exp (- (/ 1 im)))) (sin (/ 1 re))) in im * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 im)) (exp (- (/ 1 im)))) in im * [misc]taylor: Taking taylor expansion of (exp (/ 1 im)) in im * [misc]taylor: Taking taylor expansion of (/ 1 im) in im * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) * [misc]taylor: Taking taylor expansion of (exp (- (/ 1 im))) in im * [misc]taylor: Taking taylor expansion of (- (/ 1 im)) in im * [misc]taylor: Taking taylor expansion of (/ 1 im) in im * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (exp (- (/ 1 im))) into (exp (- (/ 1 im))) * [misc]taylor: Taking taylor expansion of (sin (/ 1 re)) in im * [misc]taylor: Taking taylor expansion of (/ 1 re) in im * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]backup-simplify: Simplify (/ 1 re) into (/ 1 re) * [misc]backup-simplify: Simplify (sin (/ 1 re)) into (sin (/ 1 re)) * [misc]backup-simplify: Simplify (cos (/ 1 re)) into (cos (/ 1 re)) * [misc]backup-simplify: Simplify (+ (exp (/ 1 im)) (exp (- (/ 1 im)))) into (+ (exp (/ 1 im)) (exp (- (/ 1 im)))) * [misc]backup-simplify: Simplify (* (sin (/ 1 re)) 1) into (sin (/ 1 re)) * [misc]backup-simplify: Simplify (* (cos (/ 1 re)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1 re)) 0) into (sin (/ 1 re)) * [misc]backup-simplify: Simplify (* (+ (exp (/ 1 im)) (exp (- (/ 1 im)))) (sin (/ 1 re))) into (* (+ (exp (/ 1 im)) (exp (- (/ 1 im)))) (sin (/ 1 re))) * [misc]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)))) * [misc]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)))) * [misc]backup-simplify: Simplify (+ (* (sqrt (+ (exp (/ 1 im)) (exp (- (/ 1 im))))) 0) (* 0 (sqrt (+ (exp (/ 1 im)) (exp (- (/ 1 im))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (* 0 (sin (/ 1 re)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 0.5 (sin (/ 1 re))) 0) (* 0 (+ (exp (/ 1 im)) (exp (- (/ 1 im)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 re)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 re)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ (exp (/ 1 im)) (exp (- (/ 1 im)))) 0) (* 0 (sin (/ 1 re)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (* 0 (* (+ (exp (/ 1 im)) (exp (- (/ 1 im)))) (sin (/ 1 re))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 im)) into (- (/ 1 im)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (/ 1 im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (+ (exp (/ 1 im)) (exp (- (/ 1 im))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (+ (exp (/ 1 im)) (exp (- (/ 1 im))))) 0) (+ (* 0 0) (* 0 (sqrt (+ (exp (/ 1 im)) (exp (- (/ 1 im)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (sin (/ 1 re))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 0.5 (sin (/ 1 re))) 0) (+ (* 0 0) (* 0 (+ (exp (/ 1 im)) (exp (- (/ 1 im))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 re)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 re)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ (exp (/ 1 im)) (exp (- (/ 1 im)))) 0) (+ (* 0 0) (* 0 (sin (/ 1 re))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* (+ (exp (/ 1 im)) (exp (- (/ 1 im)))) (sin (/ 1 re)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)) (* 0 (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 im)) into (- (/ 1 im)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)) (* 0 (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (/ 1 im))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ 1 im)) (exp (- (/ 1 im))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (+ (exp (/ 1 im)) (exp (- (/ 1 im))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (+ (exp (/ 1 im)) (exp (- (/ 1 im))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 re)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 0.5 (sin (/ 1 re))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (exp (/ 1 im)) (exp (- (/ 1 im)))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 0.5 (* (+ (exp (/ 1 im)) (exp (- (/ 1 im)))) (sin (/ 1 re)))) into (* 0.5 (* (+ (exp (/ 1 im)) (exp (- (/ 1 im)))) (sin (/ 1 re)))) * [misc]approximate: Taking taylor expansion of (* (* 0.5 (sin (/ 1 (- re)))) (sqr (sqrt (+ (exp (/ 1 (- im))) (exp (- (/ 1 (- im)))))))) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (* (* 0.5 (sin (/ 1 (- re)))) (sqr (sqrt (+ (exp (/ 1 (- im))) (exp (- (/ 1 (- im)))))))) in im * [misc]taylor: Taking taylor expansion of (* 0.5 (sin (/ 1 (- re)))) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- re))) in im * [misc]taylor: Taking taylor expansion of (/ 1 (- re)) in im * [misc]taylor: Taking taylor expansion of (- re) in im * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]backup-simplify: Simplify (- re) into (- re) * [misc]backup-simplify: Simplify (- re) into (- re) * [misc]backup-simplify: Simplify (/ 1 (- re)) into (/ -1 re) * [misc]backup-simplify: Simplify (sin (/ -1 re)) into (sin (/ -1 re)) * [misc]backup-simplify: Simplify (cos (/ -1 re)) into (cos (/ -1 re)) * [misc]taylor: Taking taylor expansion of (sqr (sqrt (+ (exp (/ 1 (- im))) (exp (- (/ 1 (- im))))))) in im * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (/ 1 (- im))) (exp (- (/ 1 (- im)))))) in im * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 (- im))) (exp (- (/ 1 (- im))))) in im * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- im))) in im * [misc]taylor: Taking taylor expansion of (/ 1 (- im)) in im * [misc]taylor: Taking taylor expansion of (- im) in im * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (exp (/ 1 (- im))) into (exp (/ -1 im)) * [misc]taylor: Taking taylor expansion of (exp (- (/ 1 (- im)))) in im * [misc]taylor: Taking taylor expansion of (- (/ 1 (- im))) in im * [misc]taylor: Taking taylor expansion of (/ 1 (- im)) in im * [misc]taylor: Taking taylor expansion of (- im) in im * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (exp (- (/ 1 (- im)))) into (exp (/ 1 im)) * [misc]backup-simplify: Simplify (+ (exp (/ -1 im)) (exp (/ 1 im))) into (+ (exp (/ 1 im)) (exp (/ -1 im))) * [misc]backup-simplify: Simplify (sqrt (+ (exp (/ 1 im)) (exp (/ -1 im)))) into (sqrt (+ (exp (/ 1 im)) (exp (/ -1 im)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (/ 1 im)) (exp (/ -1 im)))))) into 0 * [misc]taylor: Taking taylor expansion of (* (* 0.5 (sin (/ 1 (- re)))) (sqr (sqrt (+ (exp (/ 1 (- im))) (exp (- (/ 1 (- im)))))))) in re * [misc]taylor: Taking taylor expansion of (* 0.5 (sin (/ 1 (- re)))) in re * [misc]taylor: Taking taylor expansion of 0.5 in re * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- re))) in re * [misc]taylor: Taking taylor expansion of (/ 1 (- re)) in re * [misc]taylor: Taking taylor expansion of (- re) in re * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- re))) into (sin (/ -1 re)) * [misc]taylor: Taking taylor expansion of (sqr (sqrt (+ (exp (/ 1 (- im))) (exp (- (/ 1 (- im))))))) in re * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (/ 1 (- im))) (exp (- (/ 1 (- im)))))) in re * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 (- im))) (exp (- (/ 1 (- im))))) in re * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- im))) in re * [misc]taylor: Taking taylor expansion of (/ 1 (- im)) in re * [misc]taylor: Taking taylor expansion of (- im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (/ 1 (- im)) into (/ -1 im) * [misc]backup-simplify: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) * [misc]taylor: Taking taylor expansion of (exp (- (/ 1 (- im)))) in re * [misc]taylor: Taking taylor expansion of (- (/ 1 (- im))) in re * [misc]taylor: Taking taylor expansion of (/ 1 (- im)) in re * [misc]taylor: Taking taylor expansion of (- im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (/ 1 (- im)) into (/ -1 im) * [misc]backup-simplify: Simplify (- (/ -1 im)) into (/ 1 im) * [misc]backup-simplify: Simplify (- (/ -1 im)) into (/ 1 im) * [misc]backup-simplify: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) * [misc]backup-simplify: Simplify (+ (exp (/ -1 im)) (exp (/ 1 im))) into (+ (exp (/ 1 im)) (exp (/ -1 im))) * [misc]backup-simplify: Simplify (sqrt (+ (exp (/ 1 im)) (exp (/ -1 im)))) into (sqrt (+ (exp (/ 1 im)) (exp (/ -1 im)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ -1 im)) into (/ 1 im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (/ 1 im)) (exp (/ -1 im)))))) into 0 * [misc]taylor: Taking taylor expansion of (* (* 0.5 (sin (/ 1 (- re)))) (sqr (sqrt (+ (exp (/ 1 (- im))) (exp (- (/ 1 (- im)))))))) in re * [misc]taylor: Taking taylor expansion of (* 0.5 (sin (/ 1 (- re)))) in re * [misc]taylor: Taking taylor expansion of 0.5 in re * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- re))) in re * [misc]taylor: Taking taylor expansion of (/ 1 (- re)) in re * [misc]taylor: Taking taylor expansion of (- re) in re * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- re))) into (sin (/ -1 re)) * [misc]taylor: Taking taylor expansion of (sqr (sqrt (+ (exp (/ 1 (- im))) (exp (- (/ 1 (- im))))))) in re * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (/ 1 (- im))) (exp (- (/ 1 (- im)))))) in re * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 (- im))) (exp (- (/ 1 (- im))))) in re * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- im))) in re * [misc]taylor: Taking taylor expansion of (/ 1 (- im)) in re * [misc]taylor: Taking taylor expansion of (- im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (/ 1 (- im)) into (/ -1 im) * [misc]backup-simplify: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) * [misc]taylor: Taking taylor expansion of (exp (- (/ 1 (- im)))) in re * [misc]taylor: Taking taylor expansion of (- (/ 1 (- im))) in re * [misc]taylor: Taking taylor expansion of (/ 1 (- im)) in re * [misc]taylor: Taking taylor expansion of (- im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (/ 1 (- im)) into (/ -1 im) * [misc]backup-simplify: Simplify (- (/ -1 im)) into (/ 1 im) * [misc]backup-simplify: Simplify (- (/ -1 im)) into (/ 1 im) * [misc]backup-simplify: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) * [misc]backup-simplify: Simplify (+ (exp (/ -1 im)) (exp (/ 1 im))) into (+ (exp (/ 1 im)) (exp (/ -1 im))) * [misc]backup-simplify: Simplify (sqrt (+ (exp (/ 1 im)) (exp (/ -1 im)))) into (sqrt (+ (exp (/ 1 im)) (exp (/ -1 im)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ -1 im)) into (/ 1 im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (/ 1 im)) (exp (/ -1 im)))))) into 0 * [misc]backup-simplify: Simplify (* 0.5 (sin (/ -1 re))) into (* 0.5 (sin (/ -1 re))) * [misc]backup-simplify: Simplify (* (sqrt (+ (exp (/ 1 im)) (exp (/ -1 im)))) (sqrt (+ (exp (/ 1 im)) (exp (/ -1 im))))) into (+ (exp (/ 1 im)) (exp (/ -1 im))) * [misc]backup-simplify: Simplify (* (* 0.5 (sin (/ -1 re))) (+ (exp (/ 1 im)) (exp (/ -1 im)))) into (* 0.5 (* (+ (exp (/ 1 im)) (exp (/ -1 im))) (sin (/ -1 re)))) * [misc]taylor: Taking taylor expansion of (* 0.5 (* (+ (exp (/ 1 im)) (exp (/ -1 im))) (sin (/ -1 re)))) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (* (+ (exp (/ 1 im)) (exp (/ -1 im))) (sin (/ -1 re))) in im * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 im)) (exp (/ -1 im))) in im * [misc]taylor: Taking taylor expansion of (exp (/ 1 im)) in im * [misc]taylor: Taking taylor expansion of (/ 1 im) in im * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) * [misc]taylor: Taking taylor expansion of (exp (/ -1 im)) in im * [misc]taylor: Taking taylor expansion of (/ -1 im) in im * [misc]taylor: Taking taylor expansion of -1 in im * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) * [misc]taylor: Taking taylor expansion of (sin (/ -1 re)) in im * [misc]taylor: Taking taylor expansion of (/ -1 re) in im * [misc]taylor: Taking taylor expansion of -1 in im * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]backup-simplify: Simplify (/ -1 re) into (/ -1 re) * [misc]backup-simplify: Simplify (sin (/ -1 re)) into (sin (/ -1 re)) * [misc]backup-simplify: Simplify (cos (/ -1 re)) into (cos (/ -1 re)) * [misc]backup-simplify: Simplify (+ (exp (/ 1 im)) (exp (/ -1 im))) into (+ (exp (/ 1 im)) (exp (/ -1 im))) * [misc]backup-simplify: Simplify (* (sin (/ -1 re)) 1) into (sin (/ -1 re)) * [misc]backup-simplify: Simplify (* (cos (/ -1 re)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1 re)) 0) into (sin (/ -1 re)) * [misc]backup-simplify: Simplify (* (+ (exp (/ 1 im)) (exp (/ -1 im))) (sin (/ -1 re))) into (* (+ (exp (/ 1 im)) (exp (/ -1 im))) (sin (/ -1 re))) * [misc]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)))) * [misc]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)))) * [misc]backup-simplify: Simplify (+ (* (sqrt (+ (exp (/ 1 im)) (exp (/ -1 im)))) 0) (* 0 (sqrt (+ (exp (/ 1 im)) (exp (/ -1 im)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (* 0 (sin (/ -1 re)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 0.5 (sin (/ -1 re))) 0) (* 0 (+ (exp (/ 1 im)) (exp (/ -1 im))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 re)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 re) (+ (* (/ -1 re) (/ 0 re)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 re)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ (exp (/ 1 im)) (exp (/ -1 im))) 0) (* 0 (sin (/ -1 re)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (* 0 (* (+ (exp (/ 1 im)) (exp (/ -1 im))) (sin (/ -1 re))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 im) (/ 0 (- im))) (* 0 (/ 0 (- im))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ -1 im)) into (/ 1 im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 im) (/ 0 (- im))) (* 0 (/ 0 (- im))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (+ (exp (/ 1 im)) (exp (/ -1 im)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (+ (exp (/ 1 im)) (exp (/ -1 im)))) 0) (+ (* 0 0) (* 0 (sqrt (+ (exp (/ 1 im)) (exp (/ -1 im))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (sin (/ -1 re))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 0.5 (sin (/ -1 re))) 0) (+ (* 0 0) (* 0 (+ (exp (/ 1 im)) (exp (/ -1 im)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 re)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 re) (+ (* (/ -1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 re)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ (exp (/ 1 im)) (exp (/ -1 im))) 0) (+ (* 0 0) (* 0 (sin (/ -1 re))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* (+ (exp (/ 1 im)) (exp (/ -1 im))) (sin (/ -1 re)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 im) (/ 0 (- im))) (* 0 (/ 0 (- im))) (* 0 (/ 0 (- im))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ -1 im)) into (/ 1 im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 im) (/ 0 (- im))) (* 0 (/ 0 (- im))) (* 0 (/ 0 (- im))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ 1 im)) (exp (/ -1 im)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (+ (exp (/ 1 im)) (exp (/ -1 im)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (+ (exp (/ 1 im)) (exp (/ -1 im)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 re)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 0.5 (sin (/ -1 re))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (exp (/ 1 im)) (exp (/ -1 im))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 0.5 (* (+ (exp (/ 1 im)) (exp (/ -1 im))) (sin (/ -1 re)))) into (* 0.5 (* (+ (exp (/ 1 im)) (exp (/ -1 im))) (sin (/ -1 re)))) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 3 ] rewriting at (2 2) * * * * [misc]progress: [ 2 / 3 ] rewriting at (2 2 1 1) * * * * [misc]progress: [ 3 / 3 ] rewriting at (2) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* 0.5 (sin re)) (+ (sqr (sqrt 2)) (+ (sqr im) (* 1/12 (pow im 4))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (169 enodes) * * [misc]simplify: iters left: 2 (348 enodes) * [exit]simplify: Simplified to (* (* (sin re) 0.5) (fma 1/12 (pow im 4) (fma im im 2))) * * * * [misc]progress: [ 2 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* 0.5 (sin re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (180 enodes) * * [misc]simplify: iters left: 1 (237 enodes) * [exit]simplify: Simplified to (fma (exp (/ 1 im)) (* 0.5 (sin re)) (/ (* 0.5 (sin re)) (exp (/ 1 im)))) * * * * [misc]progress: [ 3 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* 0.5 (sin re)) (+ (exp (/ 1 im)) (exp (/ -1 im)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (103 enodes) * * [misc]simplify: iters left: 1 (107 enodes) * [exit]simplify: Simplified to (* (* (sin re) 0.5) (+ (exp (/ 1 im)) (exp (/ -1 im)))) * * * * [misc]progress: [ 4 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* 0.5 (sin re)) (sqr (sqrt (+ 2 (+ (sqr im) (* 1/12 (pow im 4))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (133 enodes) * * [misc]simplify: iters left: 2 (255 enodes) * * [misc]simplify: iters left: 1 (449 enodes) * [exit]simplify: Simplified to (* (* (sin re) 0.5) (fma (pow im 4) 1/12 (fma im im 2))) * * * * [misc]progress: [ 5 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* 0.5 (sin re)) (sqr (sqrt (+ (exp (/ 1 im)) (exp (- (/ 1 im))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (171 enodes) * * [misc]simplify: iters left: 1 (199 enodes) * [exit]simplify: Simplified to (fma (exp (/ 1 im)) (* (sin re) 0.5) (/ (* (sin re) 0.5) (exp (/ 1 im)))) * * * * [misc]progress: [ 6 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* 0.5 (sin re)) (sqr (sqrt (+ (exp (/ 1 im)) (exp (/ -1 im)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (127 enodes) * * [misc]simplify: iters left: 1 (164 enodes) * [exit]simplify: Simplified to (* (* (sin re) 0.5) (+ (exp (/ 1 im)) (exp (/ -1 im)))) * * * * [misc]progress: [ 7 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1.0 re) (* 0.5 (* (sqr im) re))) (* 0.16666666666666666 (pow re 3))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (114 enodes) * [exit]simplify: Simplified to (- (fma (* im im) (* 0.5 re) (* re 1.0)) (* (* re re) (* re 0.16666666666666666))) * * * * [misc]progress: [ 8 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* 0.5 (* (+ (exp (/ 1 im)) (exp (- (/ 1 im)))) (sin (/ 1 re)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (186 enodes) * * [misc]simplify: iters left: 1 (248 enodes) * [exit]simplify: Simplified to (* (fma (sin (/ 1 re)) (exp (/ 1 im)) (/ (sin (/ 1 re)) (exp (/ 1 im)))) 0.5) * * * * [misc]progress: [ 9 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* 0.5 (* (+ (exp (/ 1 im)) (exp (/ -1 im))) (sin (/ -1 re)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (114 enodes) * * [misc]simplify: iters left: 1 (124 enodes) * [exit]simplify: Simplified to (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (* (sin (/ -1 re)) 0.5)) * * * * [misc]progress: [ 10 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (sqr (sqrt (+ (exp im) (exp (- im)))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (expm1 (+ (exp im) (exp (- im)))) * [exit]simplify: Simplified to (expm1 (+ (exp im) (exp (- im)))) * * * * [misc]progress: [ 11 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (sqr (sqrt (+ (exp im) (exp (- im)))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (log1p (+ (exp im) (exp (- im)))) * [exit]simplify: Simplified to (log1p (+ (exp im) (exp (- im)))) * * * * [misc]progress: [ 12 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqr (sqrt (+ (exp im) (exp (- im)))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (log (+ (exp im) (exp (- im)))) * [exit]simplify: Simplified to (log (+ (exp im) (exp (- im)))) * * * * [misc]progress: [ 15 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqr (sqrt (+ (exp im) (exp (- im)))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (exp (+ (exp im) (exp (- im)))) * [exit]simplify: Simplified to (exp (+ (exp im) (exp (- im)))) * * * * [misc]progress: [ 16 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqr (sqrt (+ (exp im) (exp (- im)))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (cbrt (+ (exp im) (exp (- im)))) * [exit]simplify: Simplified to (cbrt (+ (exp im) (exp (- im)))) * * * * [misc]progress: [ 17 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (sqr (sqrt (+ (exp im) (exp (- im)))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (221 enodes) * * [misc]simplify: iters left: 1 (368 enodes) * [exit]simplify: Simplified to (cube (+ (exp (- im)) (exp im))) * [exit]simplify: Simplified to (cube (+ (exp (- im)) (exp im))) * * * * [misc]progress: [ 18 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqr (sqrt (+ (exp im) (exp (- im)))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * [exit]simplify: Simplified to (sqrt (+ (exp im) (exp (- im)))) * [exit]simplify: Simplified to (sqrt (+ (exp im) (exp (- im)))) * * * * [misc]progress: [ 19 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr (sqrt 1)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (sqr (sqrt (+ (exp im) (exp (- im))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (+ (exp im) (exp (- im))) * [exit]simplify: Simplified to (+ (exp im) (exp (- im))) * * * * [misc]progress: [ 20 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr (sqrt 1)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (sqr (sqrt (+ (exp im) (exp (- im))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (+ (exp im) (exp (- im))) * [exit]simplify: Simplified to (+ (exp im) (exp (- im))) * * * * [misc]progress: [ 21 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqr 1) * [exit]simplify: Simplified to (sqr 1) * [enter]simplify: Simplifying (sqr (sqrt (+ (exp im) (exp (- im))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (+ (exp im) (exp (- im))) * [exit]simplify: Simplified to (+ (exp im) (exp (- im))) * * * * [misc]progress: [ 22 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr (sqrt (- (pow (exp im) 3) (pow (exp (- im)) 3)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (70 enodes) * [exit]simplify: Simplified to (- (cube (exp im)) (cube (exp (- im)))) * [exit]simplify: Simplified to (- (cube (exp im)) (cube (exp (- im)))) * [enter]simplify: Simplifying (sqr (sqrt (+ (sqr (exp im)) (- (sqr (exp (- im))) (* (exp im) (exp (- im))))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (104 enodes) * [exit]simplify: Simplified to (fma (exp (- im)) (exp (- im)) (expm1 (+ im im))) * [exit]simplify: Simplified to (fma (exp (- im)) (exp (- im)) (expm1 (+ im im))) * * * * [misc]progress: [ 23 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr (sqrt (- (sqr (exp im)) (sqr (exp (- im)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (70 enodes) * [exit]simplify: Simplified to (* (+ (exp (- im)) (exp im)) (- (exp im) (exp (- im)))) * [exit]simplify: Simplified to (* (+ (exp (- im)) (exp im)) (- (exp im) (exp (- im)))) * [enter]simplify: Simplifying (sqr (sqrt (- (exp im) (exp (- im))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (- (exp im) (exp (- im))) * [exit]simplify: Simplified to (- (exp im) (exp (- im))) * * * * [misc]progress: [ 24 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (+ (exp im) (exp (- im)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (expm1 (+ (exp im) (exp (- im)))) * [exit]simplify: Simplified to (expm1 (+ (exp im) (exp (- im)))) * * * * [misc]progress: [ 27 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (+ (exp im) (exp (- im)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (log1p (+ (exp im) (exp (- im)))) * [exit]simplify: Simplified to (log1p (+ (exp im) (exp (- im)))) * * * * [misc]progress: [ 28 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* (exp (exp im)) (exp (exp (- im)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (exp (+ (exp (- im)) (exp im))) * [exit]simplify: Simplified to (exp (+ (exp (- im)) (exp im))) * * * * [misc]progress: [ 30 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (exp im) (exp (- im)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (log (+ (exp im) (exp (- im)))) * [exit]simplify: Simplified to (log (+ (exp im) (exp (- im)))) * * * * [misc]progress: [ 32 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (+ (exp im) (exp (- im)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (exp (+ (exp im) (exp (- im)))) * [exit]simplify: Simplified to (exp (+ (exp im) (exp (- im)))) * * * * [misc]progress: [ 33 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (exp im) (exp (- im)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (cbrt (+ (exp im) (exp (- im)))) * [exit]simplify: Simplified to (cbrt (+ (exp im) (exp (- im)))) * * * * [misc]progress: [ 34 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (+ (exp im) (exp (- im)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (171 enodes) * * [misc]simplify: iters left: 1 (387 enodes) * [exit]simplify: Simplified to (cube (+ (exp im) (exp (- im)))) * [exit]simplify: Simplified to (cube (+ (exp im) (exp (- im)))) * * * * [misc]progress: [ 35 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (exp im) (exp (- im)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (sqrt (+ (exp im) (exp (- im)))) * [exit]simplify: Simplified to (sqrt (+ (exp im) (exp (- im)))) * * * * [misc]progress: [ 36 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (exp im) 3) (pow (exp (- im)) 3)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (66 enodes) * [exit]simplify: Simplified to (- (cube (exp im)) (exp (- (- im) (+ im im)))) * [exit]simplify: Simplified to (- (cube (exp im)) (exp (- (- im) (+ im im)))) * [enter]simplify: Simplifying (+ (sqr (exp im)) (- (sqr (exp (- im))) (* (exp im) (exp (- im))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (100 enodes) * [exit]simplify: Simplified to (fma (exp im) (exp im) (expm1 (+ (- im) (- im)))) * [exit]simplify: Simplified to (fma (exp im) (exp im) (expm1 (+ (- im) (- im)))) * * * * [misc]progress: [ 38 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqr (exp im)) (sqr (exp (- im)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (66 enodes) * [exit]simplify: Simplified to (- (exp (+ im im)) (exp (- (+ im im)))) * [exit]simplify: Simplified to (- (exp (+ im im)) (exp (- (+ im im)))) * [enter]simplify: Simplifying (- (exp im) (exp (- im))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [exit]simplify: Simplified to (- (exp im) (exp (- im))) * [exit]simplify: Simplified to (- (exp im) (exp (- im))) * * * * [misc]progress: [ 39 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (exp im) (exp (- im))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (+ (exp im) (exp (- im))) * [exit]simplify: Simplified to (+ (exp im) (exp (- im))) * * * * [misc]progress: [ 40 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (* (* 0.5 (sin re)) (sqr (sqrt (+ (exp im) (exp (- im))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (170 enodes) * * [misc]simplify: iters left: 1 (228 enodes) * [exit]simplify: Simplified to (expm1 (* (fma (exp im) (sin re) (/ (sin re) (exp im))) 0.5)) * [exit]simplify: Simplified to (expm1 (* (fma (exp im) (sin re) (/ (sin re) (exp im))) 0.5)) * * * * [misc]progress: [ 42 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (* (* 0.5 (sin re)) (sqr (sqrt (+ (exp im) (exp (- im))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (170 enodes) * * [misc]simplify: iters left: 1 (228 enodes) * [exit]simplify: Simplified to (log1p (* (fma (exp im) (sin re) (/ (sin re) (exp im))) 0.5)) * [exit]simplify: Simplified to (log1p (* (fma (exp im) (sin re) (/ (sin re) (exp im))) 0.5)) * * * * [misc]progress: [ 43 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* 0.5 (sin re)) (sqr (sqrt (+ (exp im) (exp (- im)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (166 enodes) * * [misc]simplify: iters left: 1 (254 enodes) * [exit]simplify: Simplified to (* 0.5 (fma (sin re) (exp im) (/ (sin re) (exp im)))) * [exit]simplify: Simplified to (* 0.5 (fma (sin re) (exp im) (/ (sin re) (exp im)))) * * * * [misc]progress: [ 44 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (* 0.5 (sin re))) (log (sqr (sqrt (+ (exp im) (exp (- im))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to (+ (log (+ (exp im) (exp (- im)))) (log (* (sin re) 0.5))) * [exit]simplify: Simplified to (+ (log (+ (exp im) (exp (- im)))) (log (* (sin re) 0.5))) * * * * [misc]progress: [ 46 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (* 0.5 (sin re)) (sqr (sqrt (+ (exp im) (exp (- im))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (200 enodes) * * [misc]simplify: iters left: 1 (259 enodes) * [exit]simplify: Simplified to (log (* 0.5 (fma (exp im) (sin re) (/ (sin re) (exp im))))) * [exit]simplify: Simplified to (log (* 0.5 (fma (exp im) (sin re) (/ (sin re) (exp im))))) * * * * [misc]progress: [ 47 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (* 0.5 (sin re)) (sqr (sqrt (+ (exp im) (exp (- im))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (188 enodes) * * [misc]simplify: iters left: 1 (268 enodes) * [exit]simplify: Simplified to (pow (exp 0.5) (fma (exp im) (sin re) (/ (sin re) (exp im)))) * [exit]simplify: Simplified to (pow (exp 0.5) (fma (exp im) (sin re) (/ (sin re) (exp im)))) * * * * [misc]progress: [ 48 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cube (* 0.5 (sin re))) (cube (sqr (sqrt (+ (exp im) (exp (- im))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (297 enodes) * [exit]simplify: Simplified to (* (cube (+ (exp (- im)) (exp im))) (cube (* (sin re) 0.5))) * [exit]simplify: Simplified to (* (cube (+ (exp (- im)) (exp im))) (cube (* (sin re) 0.5))) * * * * [misc]progress: [ 49 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (* 0.5 (sin re)) (sqr (sqrt (+ (exp im) (exp (- im))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (170 enodes) * * [misc]simplify: iters left: 1 (228 enodes) * [exit]simplify: Simplified to (cbrt (* (fma (exp im) (sin re) (/ (sin re) (exp im))) 0.5)) * [exit]simplify: Simplified to (cbrt (* (fma (exp im) (sin re) (/ (sin re) (exp im))) 0.5)) * * * * [misc]progress: [ 50 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (* (* 0.5 (sin re)) (sqr (sqrt (+ (exp im) (exp (- im))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (152 enodes) * * [misc]simplify: iters left: 2 (380 enodes) * [exit]simplify: Simplified to (cube (* (sin re) (fma 0.5 (exp im) (/ 0.5 (exp im))))) * [exit]simplify: Simplified to (cube (* (sin re) (fma 0.5 (exp im) (/ 0.5 (exp im))))) * * * * [misc]progress: [ 51 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* 0.5 (sin re))) (cbrt (sqr (sqrt (+ (exp im) (exp (- im))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (exp im) (exp (- im)))) (cbrt (* (sin re) 0.5))) * [exit]simplify: Simplified to (* (cbrt (+ (exp im) (exp (- im)))) (cbrt (* (sin re) 0.5))) * * * * [misc]progress: [ 52 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (* 0.5 (sin re)) (sqr (sqrt (+ (exp im) (exp (- im))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (170 enodes) * * [misc]simplify: iters left: 1 (228 enodes) * [exit]simplify: Simplified to (sqrt (* (fma (exp im) (sin re) (/ (sin re) (exp im))) 0.5)) * [exit]simplify: Simplified to (sqrt (* (fma (exp im) (sin re) (/ (sin re) (exp im))) 0.5)) * * * * [misc]progress: [ 53 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* 0.5 (sin re))) (sqrt (+ (exp im) (exp (- im))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (exp im) (exp (- im)))) (sqrt (* (sin re) 0.5))) * [exit]simplify: Simplified to (* (sqrt (+ (exp im) (exp (- im)))) (sqrt (* (sin re) 0.5))) * * * * [misc]progress: [ 54 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* 0.5 (sin re)) (sqr (sqrt 1))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (* (sin re) 0.5) * [exit]simplify: Simplified to (* (sin re) 0.5) * * * * [misc]progress: [ 56 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* 0.5 (sin re)) (sqr (sqrt 1))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (* (sin re) 0.5) * [exit]simplify: Simplified to (* (sin re) 0.5) * * * * [misc]progress: [ 57 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* 0.5 (sin re)) (sqr 1)) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (* 0.5 (sin re)) * [exit]simplify: Simplified to (* 0.5 (sin re)) * * * * [misc]progress: [ 58 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* 0.5 (sin re)) (sqrt (+ (exp im) (exp (- im))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (exp im) (exp (- im)))) (* (sin re) 0.5)) * [exit]simplify: Simplified to (* (sqrt (+ (exp im) (exp (- im)))) (* (sin re) 0.5)) * * * * [misc]progress: [ 59 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* 0.5 (sin re)) 1) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (* 0.5 (sin re)) * [exit]simplify: Simplified to (* 0.5 (sin re)) * * * * [misc]progress: [ 60 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin re) (sqr (sqrt (+ (exp im) (exp (- im)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to (fma (sin re) (exp im) (/ (sin re) (exp im))) * [exit]simplify: Simplified to (fma (sin re) (exp im) (/ (sin re) (exp im))) * * * * [misc]progress: [ 61 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* 0.5 (sin re)) (sqr (sqrt (- (pow (exp im) 3) (pow (exp (- im)) 3))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (98 enodes) * [exit]simplify: Simplified to (* (* (sin re) 0.5) (- (cube (exp im)) (cube (exp (- im))))) * [exit]simplify: Simplified to (* (* (sin re) 0.5) (- (cube (exp im)) (cube (exp (- im))))) * * * * [misc]progress: [ 62 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* 0.5 (sin re)) (sqr (sqrt (- (sqr (exp im)) (sqr (exp (- im))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (183 enodes) * * [misc]simplify: iters left: 1 (403 enodes) * [exit]simplify: Simplified to (* (* (- (exp im) (exp (- im))) (+ (exp (- im)) (exp im))) (* (sin re) 0.5)) * [exit]simplify: Simplified to (* (* (- (exp im) (exp (- im))) (+ (exp (- im)) (exp im))) (* (sin re) 0.5)) * * * * [misc]progress: [ 63 / 63 ] simplifiying candidate # * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * [enter]simplify: Simplifying (* (* 0.5 (sin re)) (+ (exp (- 0 im)) (exp im))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (124 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (* 0.5 (fma (exp im) (sin re) (/ (sin re) (exp im)))) * [enter]simplify: Simplifying (- (+ (* 1.0 re) (* 0.5 (* (sqr im) re))) (* 0.16666666666666666 (pow re 3))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (114 enodes) * [exit]simplify: Simplified to (- (fma (* im im) (* 0.5 re) (* re 1.0)) (* (* re re) (* re 0.16666666666666666))) * [enter]simplify: Simplifying (+ (exp im) (exp (- im))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (+ (exp im) (exp (- im))) * [exit]simplify: Simplified to (+ (exp im) (exp (- im)))