* [misc]progress: [Phase 1 of 3] Setting up. * * * [misc]progress: [1/2] Preparing points * * * [misc]progress: [2/2] Setting up program. * [misc]progress: [Phase 2 of 3] Improving. * [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 (76 enodes) * * [misc]simplify: iters left: 2 (147 enodes) * * [misc]simplify: iters left: 1 (163 enodes) * [exit]simplify: Simplified to (* (fma (exp im) (sin re) (/ (sin re) (exp im))) 0.5) * * [misc]progress: iteration 1 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 1 ] rewriting at (2 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 1 ] 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 (pow im 2)) 2)) into (+ 2 (+ (* 1/12 (pow im 4)) (pow im 2))) * [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 (/ 1 im)))) (exp (/ 1 (/ 1 im)))) into (+ (exp (- im)) (exp 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 (/ 1 (- im)))) (exp (/ -1 (/ 1 (- im))))) into (+ (exp (* -1 im)) (exp im)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 21 ] 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: [ 2 / 21 ] 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: [ 3 / 21 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 21 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 21 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 21 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 21 ] 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: [ 8 / 21 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 21 ] 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: [ 10 / 21 ] 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: [ 11 / 21 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ (exp (- 0 im)) (exp im))) (cbrt (+ (exp (- 0 im)) (exp im)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (exp (- im)) (exp im))) (cbrt (+ (exp (- im)) (exp im)))) * [exit]simplify: Simplified to (* (cbrt (+ (exp (- im)) (exp im))) (cbrt (+ (exp (- im)) (exp im)))) * [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: [ 12 / 21 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (exp (- 0 im)) (exp im)) (+ (exp (- 0 im)) (exp im))) (+ (exp (- 0 im)) (exp im))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (128 enodes) * * [misc]simplify: iters left: 2 (272 enodes) * * [misc]simplify: iters left: 1 (426 enodes) * [exit]simplify: Simplified to (pow (fma (/ 1 (exp im)) 1 (exp im)) 3) * [exit]simplify: Simplified to (pow (fma (/ 1 (exp im)) 1 (exp im)) 3) * * * * [misc]progress: [ 13 / 21 ] 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))) * [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: [ 14 / 21 ] 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 (19 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (137 enodes) * [exit]simplify: Simplified to (fma (exp (- im)) (pow (exp im) (- 2)) (exp (fma 2 im im))) * [exit]simplify: Simplified to (fma (exp (- im)) (pow (exp im) (- 2)) (exp (fma 2 im im))) * [enter]simplify: Simplifying (+ (* (exp (- 0 im)) (exp (- 0 im))) (- (* (exp im) (exp im)) (* (exp (- 0 im)) (exp im)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (167 enodes) * * [misc]simplify: iters left: 1 (368 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: [ 15 / 21 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 21 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (exp (- 0 im)) (exp (- 0 im))) (* (exp im) (exp im))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (133 enodes) * [exit]simplify: Simplified to (- (pow (exp 2) (- im)) (* (exp im) (exp im))) * [exit]simplify: Simplified to (- (pow (exp 2) (- 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: [ 17 / 21 ] 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: [ 18 / 21 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 21 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* 0.5 (sin re)) (+ 2 (+ (* 1/12 (pow im 4)) (pow im 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (160 enodes) * * [misc]simplify: iters left: 2 (301 enodes) * * [misc]simplify: iters left: 1 (448 enodes) * [exit]simplify: Simplified to (* (fma 1/12 (pow im 4) (fma im im 2)) (* 0.5 (sin re))) * * * * [misc]progress: [ 20 / 21 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* 0.5 (sin re)) (+ (exp (- im)) (exp im))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (175 enodes) * * [misc]simplify: iters left: 1 (232 enodes) * [exit]simplify: Simplified to (* (fma 0.5 (exp im) (/ 0.5 (exp im))) (sin re)) * * * * [misc]progress: [ 21 / 21 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* 0.5 (sin re)) (+ (exp (* -1 im)) (exp im))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (107 enodes) * * [misc]simplify: iters left: 1 (126 enodes) * [exit]simplify: Simplified to (* (sin re) (fma 0.5 (exp im) (/ 0.5 (exp im)))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 3 ] rewriting at (2 2) * * * * [misc]progress: [ 2 / 3 ] rewriting at (2 2 2) * * * * [misc]progress: [ 3 / 3 ] rewriting at (2 2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 3 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (fma (sqrt (exp (- 0 im))) (sqrt (exp (- 0 im))) (exp im)) in (im) around 0 * [misc]taylor: Taking taylor expansion of (fma (sqrt (exp (- 0 im))) (sqrt (exp (- 0 im))) (exp im)) in im * [misc]taylor: Rewrote expression to (+ (* (sqrt (exp (- 0 im))) (sqrt (exp (- 0 im)))) (exp im)) * [misc]taylor: Taking taylor expansion of (* (sqrt (exp (- 0 im))) (sqrt (exp (- 0 im)))) in im * [misc]taylor: Taking taylor expansion of (sqrt (exp (- 0 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]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 * [misc]taylor: Taking taylor expansion of (sqrt (exp (- 0 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]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 * [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 (fma (sqrt (exp (- 0 im))) (sqrt (exp (- 0 im))) (exp im)) in im * [misc]taylor: Rewrote expression to (+ (* (sqrt (exp (- 0 im))) (sqrt (exp (- 0 im)))) (exp im)) * [misc]taylor: Taking taylor expansion of (* (sqrt (exp (- 0 im))) (sqrt (exp (- 0 im)))) in im * [misc]taylor: Taking taylor expansion of (sqrt (exp (- 0 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]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 * [misc]taylor: Taking taylor expansion of (sqrt (exp (- 0 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]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 * [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 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (* 1 -1/2) (* -1/2 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 (/ (- 1/2 (pow -1/2 2) (+)) (* 2 1)) into 1/8 * [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 (/ (- 1/2 (pow -1/2 2) (+)) (* 2 1)) into 1/8 * [misc]backup-simplify: Simplify (+ (* 1 1/8) (+ (* -1/2 -1/2) (* 1/8 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 (/ (- -1/6 (+ (* 2 (* -1/2 1/8)))) (* 2 1)) into -1/48 * [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 (/ (- -1/6 (+ (* 2 (* -1/2 1/8)))) (* 2 1)) into -1/48 * [misc]backup-simplify: Simplify (+ (* 1 -1/48) (+ (* -1/2 1/8) (+ (* 1/8 -1/2) (* -1/48 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 (/ (- 1/24 (pow 1/8 2) (+ (* 2 (* -1/2 -1/48)))) (* 2 1)) into 1/384 * [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 (/ (- 1/24 (pow 1/8 2) (+ (* 2 (* -1/2 -1/48)))) (* 2 1)) into 1/384 * [misc]backup-simplify: Simplify (+ (* 1 1/384) (+ (* -1/2 -1/48) (+ (* 1/8 1/8) (+ (* -1/48 -1/2) (* 1/384 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 (pow im 2)) 2)) into (+ 2 (+ (* 1/12 (pow im 4)) (pow im 2))) * [misc]approximate: Taking taylor expansion of (fma (sqrt (exp (- 0 (/ 1 im)))) (sqrt (exp (- 0 (/ 1 im)))) (exp (/ 1 im))) in (im) around 0 * [misc]taylor: Taking taylor expansion of (fma (sqrt (exp (- 0 (/ 1 im)))) (sqrt (exp (- 0 (/ 1 im)))) (exp (/ 1 im))) in im * [misc]taylor: Rewrote expression to (+ (* (sqrt (exp (- 0 (/ 1 im)))) (sqrt (exp (- 0 (/ 1 im))))) (exp (/ 1 im))) * [misc]taylor: Taking taylor expansion of (* (sqrt (exp (- 0 (/ 1 im)))) (sqrt (exp (- 0 (/ 1 im))))) in im * [misc]taylor: Taking taylor expansion of (sqrt (exp (- 0 (/ 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]backup-simplify: Simplify (sqrt (exp (- (/ 1 im)))) into (sqrt (exp (- (/ 1 im)))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (- (/ 1 im)))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (exp (- 0 (/ 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]backup-simplify: Simplify (sqrt (exp (- (/ 1 im)))) into (sqrt (exp (- (/ 1 im)))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (- (/ 1 im)))))) into 0 * [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 (fma (sqrt (exp (- 0 (/ 1 im)))) (sqrt (exp (- 0 (/ 1 im)))) (exp (/ 1 im))) in im * [misc]taylor: Rewrote expression to (+ (* (sqrt (exp (- 0 (/ 1 im)))) (sqrt (exp (- 0 (/ 1 im))))) (exp (/ 1 im))) * [misc]taylor: Taking taylor expansion of (* (sqrt (exp (- 0 (/ 1 im)))) (sqrt (exp (- 0 (/ 1 im))))) in im * [misc]taylor: Taking taylor expansion of (sqrt (exp (- 0 (/ 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]backup-simplify: Simplify (sqrt (exp (- (/ 1 im)))) into (sqrt (exp (- (/ 1 im)))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (- (/ 1 im)))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (exp (- 0 (/ 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]backup-simplify: Simplify (sqrt (exp (- (/ 1 im)))) into (sqrt (exp (- (/ 1 im)))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (- (/ 1 im)))))) into 0 * [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 (* (sqrt (exp (- (/ 1 im)))) (sqrt (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 (+ (* (sqrt (exp (- (/ 1 im)))) 0) (* 0 (sqrt (exp (- (/ 1 im)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (exp (- (/ 1 im)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (exp (- (/ 1 im)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (exp (- (/ 1 im)))) 0) (+ (* 0 0) (* 0 (sqrt (exp (- (/ 1 im))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (exp (- (/ 1 im)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (exp (- (/ 1 im)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (exp (- (/ 1 im)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (exp (- (/ 1 im)))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (exp (- (/ 1 im)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (exp (- (/ 1 im)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (exp (- (/ 1 im)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (exp (- (/ 1 im))))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (exp (- (/ 1 im)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (exp (- (/ 1 im)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (exp (- (/ 1 im)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (exp (- (/ 1 im)))))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (exp (- (/ 1 im)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (exp (- (/ 1 im)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (exp (- (/ 1 im)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (exp (- (/ 1 im))))))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (exp (- (/ 1 (/ 1 im)))) (exp (/ 1 (/ 1 im)))) into (+ (exp (- im)) (exp im)) * [misc]approximate: Taking taylor expansion of (fma (sqrt (exp (- 0 (/ 1 (- im))))) (sqrt (exp (- 0 (/ 1 (- im))))) (exp (/ 1 (- im)))) in (im) around 0 * [misc]taylor: Taking taylor expansion of (fma (sqrt (exp (- 0 (/ 1 (- im))))) (sqrt (exp (- 0 (/ 1 (- im))))) (exp (/ 1 (- im)))) in im * [misc]taylor: Rewrote expression to (+ (* (sqrt (exp (- 0 (/ 1 (- im))))) (sqrt (exp (- 0 (/ 1 (- im)))))) (exp (/ 1 (- im)))) * [misc]taylor: Taking taylor expansion of (* (sqrt (exp (- 0 (/ 1 (- im))))) (sqrt (exp (- 0 (/ 1 (- im)))))) in im * [misc]taylor: Taking taylor expansion of (sqrt (exp (- 0 (/ 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]backup-simplify: Simplify (sqrt (exp (/ 1 im))) into (sqrt (exp (/ 1 im))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (/ 1 im))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (exp (- 0 (/ 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]backup-simplify: Simplify (sqrt (exp (/ 1 im))) into (sqrt (exp (/ 1 im))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (/ 1 im))))) into 0 * [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 (fma (sqrt (exp (- 0 (/ 1 (- im))))) (sqrt (exp (- 0 (/ 1 (- im))))) (exp (/ 1 (- im)))) in im * [misc]taylor: Rewrote expression to (+ (* (sqrt (exp (- 0 (/ 1 (- im))))) (sqrt (exp (- 0 (/ 1 (- im)))))) (exp (/ 1 (- im)))) * [misc]taylor: Taking taylor expansion of (* (sqrt (exp (- 0 (/ 1 (- im))))) (sqrt (exp (- 0 (/ 1 (- im)))))) in im * [misc]taylor: Taking taylor expansion of (sqrt (exp (- 0 (/ 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]backup-simplify: Simplify (sqrt (exp (/ 1 im))) into (sqrt (exp (/ 1 im))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (/ 1 im))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (exp (- 0 (/ 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]backup-simplify: Simplify (sqrt (exp (/ 1 im))) into (sqrt (exp (/ 1 im))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (/ 1 im))))) into 0 * [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 (* (sqrt (exp (/ 1 im))) (sqrt (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 (+ (* (sqrt (exp (/ 1 im))) 0) (* 0 (sqrt (exp (/ 1 im))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (exp (/ 1 im))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (exp (/ 1 im))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (exp (/ 1 im))) 0) (+ (* 0 0) (* 0 (sqrt (exp (/ 1 im)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ 1 im))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ 1 im))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (exp (/ 1 im))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (exp (/ 1 im))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ 1 im))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ 1 im))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (exp (/ 1 im))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (exp (/ 1 im)))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ 1 im))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ 1 im))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (exp (/ 1 im))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (exp (/ 1 im))))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ 1 im))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ 1 im))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (exp (/ 1 im))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (exp (/ 1 im)))))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (exp (/ 1 (/ 1 (- im)))) (exp (/ -1 (/ 1 (- im))))) into (+ (exp (* -1 im)) (exp im)) * * * * [misc]progress: [ 2 / 3 ] generating series at (2 2 2) * [misc]approximate: Taking taylor expansion of (sqrt (exp (- 0 im))) in (im) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (exp (- 0 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]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 * [misc]taylor: Taking taylor expansion of (sqrt (exp (- 0 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]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [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 (/ (- 1/2 (pow -1/2 2) (+)) (* 2 1)) into 1/8 * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]backup-simplify: Simplify (+ (* 1/8 (pow im 2)) (+ (* -1/2 im) 1)) into (- (+ 1 (* 1/8 (pow im 2))) (* 1/2 im)) * [misc]approximate: Taking taylor expansion of (sqrt (exp (- 0 (/ 1 im)))) in (im) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (exp (- 0 (/ 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]backup-simplify: Simplify (sqrt (exp (- (/ 1 im)))) into (sqrt (exp (- (/ 1 im)))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (- (/ 1 im)))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (exp (- 0 (/ 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]backup-simplify: Simplify (sqrt (exp (- (/ 1 im)))) into (sqrt (exp (- (/ 1 im)))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (- (/ 1 im)))))) into 0 * [misc]backup-simplify: Simplify (sqrt (exp (- (/ 1 im)))) into (sqrt (exp (- (/ 1 im)))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (exp (- (/ 1 im)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (exp (- (/ 1 im)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (exp (- (/ 1 im)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (exp (- (/ 1 im)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (exp (- (/ 1 im)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (exp (- (/ 1 (/ 1 im))))) into (sqrt (exp (- im))) * [misc]approximate: Taking taylor expansion of (sqrt (exp (- 0 (/ 1 (- im))))) in (im) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (exp (- 0 (/ 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]backup-simplify: Simplify (sqrt (exp (/ 1 im))) into (sqrt (exp (/ 1 im))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (/ 1 im))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (exp (- 0 (/ 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]backup-simplify: Simplify (sqrt (exp (/ 1 im))) into (sqrt (exp (/ 1 im))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (/ 1 im))))) into 0 * [misc]backup-simplify: Simplify (sqrt (exp (/ 1 im))) into (sqrt (exp (/ 1 im))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (exp (/ 1 im))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ 1 im))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ 1 im))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ 1 im))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ 1 im))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (exp (/ 1 (/ 1 (- im))))) into (sqrt (exp (* -1 im))) * * * * [misc]progress: [ 3 / 3 ] generating series at (2 2 1) * [misc]approximate: Taking taylor expansion of (sqrt (exp (- 0 im))) in (im) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (exp (- 0 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]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 * [misc]taylor: Taking taylor expansion of (sqrt (exp (- 0 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]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [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 (/ (- 1/2 (pow -1/2 2) (+)) (* 2 1)) into 1/8 * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]backup-simplify: Simplify (+ (* 1/8 (pow im 2)) (+ (* -1/2 im) 1)) into (- (+ 1 (* 1/8 (pow im 2))) (* 1/2 im)) * [misc]approximate: Taking taylor expansion of (sqrt (exp (- 0 (/ 1 im)))) in (im) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (exp (- 0 (/ 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]backup-simplify: Simplify (sqrt (exp (- (/ 1 im)))) into (sqrt (exp (- (/ 1 im)))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (- (/ 1 im)))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (exp (- 0 (/ 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]backup-simplify: Simplify (sqrt (exp (- (/ 1 im)))) into (sqrt (exp (- (/ 1 im)))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (- (/ 1 im)))))) into 0 * [misc]backup-simplify: Simplify (sqrt (exp (- (/ 1 im)))) into (sqrt (exp (- (/ 1 im)))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (exp (- (/ 1 im)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (exp (- (/ 1 im)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (exp (- (/ 1 im)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (exp (- (/ 1 im)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (exp (- (/ 1 im)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (exp (- (/ 1 (/ 1 im))))) into (sqrt (exp (- im))) * [misc]approximate: Taking taylor expansion of (sqrt (exp (- 0 (/ 1 (- im))))) in (im) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (exp (- 0 (/ 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]backup-simplify: Simplify (sqrt (exp (/ 1 im))) into (sqrt (exp (/ 1 im))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (/ 1 im))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (exp (- 0 (/ 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]backup-simplify: Simplify (sqrt (exp (/ 1 im))) into (sqrt (exp (/ 1 im))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (/ 1 im))))) into 0 * [misc]backup-simplify: Simplify (sqrt (exp (/ 1 im))) into (sqrt (exp (/ 1 im))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (exp (/ 1 im))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ 1 im))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ 1 im))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ 1 im))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ 1 im))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (exp (/ 1 (/ 1 (- im))))) into (sqrt (exp (* -1 im))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (fma (sqrt (exp (- 0 im))) (sqrt (exp (- 0 im))) (exp im))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (expm1 (fma (sqrt (exp (- im))) (sqrt (exp (- im))) (exp im))) * [exit]simplify: Simplified to (expm1 (fma (sqrt (exp (- im))) (sqrt (exp (- im))) (exp im))) * * * * [misc]progress: [ 2 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (fma (sqrt (exp (- 0 im))) (sqrt (exp (- 0 im))) (exp im))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (log1p (fma (sqrt (exp (- im))) (sqrt (exp (- im))) (exp im))) * [exit]simplify: Simplified to (log1p (fma (sqrt (exp (- im))) (sqrt (exp (- im))) (exp im))) * * * * [misc]progress: [ 3 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (exp (- 0 im))) (sqrt (exp (- 0 im)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (exp (- im)) * [exit]simplify: Simplified to (exp (- im)) * * * * [misc]progress: [ 4 / 53 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (log (fma (sqrt (exp (- 0 im))) (sqrt (exp (- 0 im))) (exp im))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (log (fma (sqrt (exp (- im))) (sqrt (exp (- im))) (exp im))) * [exit]simplify: Simplified to (log (fma (sqrt (exp (- im))) (sqrt (exp (- im))) (exp im))) * * * * [misc]progress: [ 6 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (fma (sqrt (exp (- 0 im))) (sqrt (exp (- 0 im))) (exp im))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (exp (fma (sqrt (exp (- im))) (sqrt (exp (- im))) (exp im))) * [exit]simplify: Simplified to (exp (fma (sqrt (exp (- im))) (sqrt (exp (- im))) (exp im))) * * * * [misc]progress: [ 7 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (fma (sqrt (exp (- 0 im))) (sqrt (exp (- 0 im))) (exp im))) (cbrt (fma (sqrt (exp (- 0 im))) (sqrt (exp (- 0 im))) (exp im)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (* (cbrt (fma (sqrt (exp (- im))) (sqrt (exp (- im))) (exp im))) (cbrt (fma (sqrt (exp (- im))) (sqrt (exp (- im))) (exp im)))) * [exit]simplify: Simplified to (* (cbrt (fma (sqrt (exp (- im))) (sqrt (exp (- im))) (exp im))) (cbrt (fma (sqrt (exp (- im))) (sqrt (exp (- im))) (exp im)))) * [enter]simplify: Simplifying (cbrt (fma (sqrt (exp (- 0 im))) (sqrt (exp (- 0 im))) (exp im))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (cbrt (fma (sqrt (exp (- im))) (sqrt (exp (- im))) (exp im))) * [exit]simplify: Simplified to (cbrt (fma (sqrt (exp (- im))) (sqrt (exp (- im))) (exp im))) * * * * [misc]progress: [ 8 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (fma (sqrt (exp (- 0 im))) (sqrt (exp (- 0 im))) (exp im)) (fma (sqrt (exp (- 0 im))) (sqrt (exp (- 0 im))) (exp im))) (fma (sqrt (exp (- 0 im))) (sqrt (exp (- 0 im))) (exp im))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (pow (fma (sqrt (exp (- im))) (sqrt (exp (- im))) (exp im)) 3) * [exit]simplify: Simplified to (pow (fma (sqrt (exp (- im))) (sqrt (exp (- im))) (exp im)) 3) * * * * [misc]progress: [ 9 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (fma (sqrt (exp (- 0 im))) (sqrt (exp (- 0 im))) (exp im))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (sqrt (fma (sqrt (exp (- im))) (sqrt (exp (- im))) (exp im))) * [exit]simplify: Simplified to (sqrt (fma (sqrt (exp (- im))) (sqrt (exp (- im))) (exp im))) * [enter]simplify: Simplifying (sqrt (fma (sqrt (exp (- 0 im))) (sqrt (exp (- 0 im))) (exp im))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (sqrt (fma (sqrt (exp (- im))) (sqrt (exp (- im))) (exp im))) * [exit]simplify: Simplified to (sqrt (fma (sqrt (exp (- im))) (sqrt (exp (- im))) (exp im))) * * * * [misc]progress: [ 10 / 53 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (sqrt (exp (- 0 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 (expm1 (sqrt (exp (- im)))) * [exit]simplify: Simplified to (expm1 (sqrt (exp (- im)))) * * * * [misc]progress: [ 12 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (sqrt (exp (- 0 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 (log1p (sqrt (exp (- im)))) * [exit]simplify: Simplified to (log1p (sqrt (exp (- im)))) * * * * [misc]progress: [ 13 / 53 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 53 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (exp (- 0 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 (log (sqrt (exp (- im)))) * [exit]simplify: Simplified to (log (sqrt (exp (- im)))) * * * * [misc]progress: [ 16 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (exp (- 0 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 (sqrt (exp (- im)))) * [exit]simplify: Simplified to (exp (sqrt (exp (- im)))) * * * * [misc]progress: [ 17 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (exp (- 0 im)))) (cbrt (sqrt (exp (- 0 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 (sqrt (exp (- im)))) (cbrt (sqrt (exp (- im))))) * [exit]simplify: Simplified to (* (cbrt (sqrt (exp (- im)))) (cbrt (sqrt (exp (- im))))) * [enter]simplify: Simplifying (cbrt (sqrt (exp (- 0 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 (cbrt (sqrt (exp (- im)))) * [exit]simplify: Simplified to (cbrt (sqrt (exp (- im)))) * * * * [misc]progress: [ 18 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt (exp (- 0 im))) (sqrt (exp (- 0 im)))) (sqrt (exp (- 0 im)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (* (exp (- im)) (sqrt (exp (- im)))) * [exit]simplify: Simplified to (* (exp (- im)) (sqrt (exp (- im)))) * * * * [misc]progress: [ 19 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (exp 0)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (sqrt 1) * [exit]simplify: Simplified to (sqrt 1) * [enter]simplify: Simplifying (sqrt (exp (- im))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (sqrt (exp (- im))) * [exit]simplify: Simplified to (sqrt (exp (- im))) * * * * [misc]progress: [ 20 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (exp (- 0 im))) (cbrt (exp (- 0 im))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (fabs (cbrt (exp (- im)))) * [exit]simplify: Simplified to (fabs (cbrt (exp (- im)))) * [enter]simplify: Simplifying (sqrt (cbrt (exp (- 0 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 (sqrt (cbrt (exp (- im)))) * [exit]simplify: Simplified to (sqrt (cbrt (exp (- im)))) * * * * [misc]progress: [ 21 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (exp (- 0 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 (sqrt (sqrt (exp (- im)))) * [exit]simplify: Simplified to (sqrt (sqrt (exp (- im)))) * [enter]simplify: Simplifying (sqrt (sqrt (exp (- 0 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 (sqrt (sqrt (exp (- im)))) * [exit]simplify: Simplified to (sqrt (sqrt (exp (- im)))) * * * * [misc]progress: [ 22 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [exit]simplify: Simplified to (sqrt 1) * [enter]simplify: Simplifying (sqrt (exp (- 0 im))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * [exit]simplify: Simplified to (sqrt (exp (- im))) * [exit]simplify: Simplified to (sqrt (exp (- im))) * * * * [misc]progress: [ 23 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [exit]simplify: Simplified to (sqrt 1) * [enter]simplify: Simplifying (sqrt (exp im)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (exp im)) * [exit]simplify: Simplified to (sqrt (exp im)) * * * * [misc]progress: [ 24 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (exp 0)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (sqrt 1) * [exit]simplify: Simplified to (sqrt 1) * [enter]simplify: Simplifying (sqrt (exp im)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (exp im)) * [exit]simplify: Simplified to (sqrt (exp im)) * * * * [misc]progress: [ 25 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (exp (- 0 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 (sqrt (sqrt (exp (- im)))) * [exit]simplify: Simplified to (sqrt (sqrt (exp (- im)))) * [enter]simplify: Simplifying (sqrt (sqrt (exp (- 0 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 (sqrt (sqrt (exp (- im)))) * [exit]simplify: Simplified to (sqrt (sqrt (exp (- im)))) * * * * [misc]progress: [ 26 / 53 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 53 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (sqrt (exp (- 0 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 (expm1 (sqrt (exp (- im)))) * [exit]simplify: Simplified to (expm1 (sqrt (exp (- im)))) * * * * [misc]progress: [ 29 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (sqrt (exp (- 0 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 (log1p (sqrt (exp (- im)))) * [exit]simplify: Simplified to (log1p (sqrt (exp (- im)))) * * * * [misc]progress: [ 30 / 53 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 53 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (exp (- 0 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 (log (sqrt (exp (- im)))) * [exit]simplify: Simplified to (log (sqrt (exp (- im)))) * * * * [misc]progress: [ 33 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (exp (- 0 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 (sqrt (exp (- im)))) * [exit]simplify: Simplified to (exp (sqrt (exp (- im)))) * * * * [misc]progress: [ 34 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (exp (- 0 im)))) (cbrt (sqrt (exp (- 0 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 (sqrt (exp (- im)))) (cbrt (sqrt (exp (- im))))) * [exit]simplify: Simplified to (* (cbrt (sqrt (exp (- im)))) (cbrt (sqrt (exp (- im))))) * [enter]simplify: Simplifying (cbrt (sqrt (exp (- 0 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 (cbrt (sqrt (exp (- im)))) * [exit]simplify: Simplified to (cbrt (sqrt (exp (- im)))) * * * * [misc]progress: [ 35 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt (exp (- 0 im))) (sqrt (exp (- 0 im)))) (sqrt (exp (- 0 im)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (* (exp (- im)) (sqrt (exp (- im)))) * [exit]simplify: Simplified to (* (exp (- im)) (sqrt (exp (- im)))) * * * * [misc]progress: [ 36 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (exp 0)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (sqrt 1) * [exit]simplify: Simplified to (sqrt 1) * [enter]simplify: Simplifying (sqrt (exp (- im))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (sqrt (exp (- im))) * [exit]simplify: Simplified to (sqrt (exp (- im))) * * * * [misc]progress: [ 37 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (exp (- 0 im))) (cbrt (exp (- 0 im))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (fabs (cbrt (exp (- im)))) * [exit]simplify: Simplified to (fabs (cbrt (exp (- im)))) * [enter]simplify: Simplifying (sqrt (cbrt (exp (- 0 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 (sqrt (cbrt (exp (- im)))) * [exit]simplify: Simplified to (sqrt (cbrt (exp (- im)))) * * * * [misc]progress: [ 38 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (exp (- 0 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 (sqrt (sqrt (exp (- im)))) * [exit]simplify: Simplified to (sqrt (sqrt (exp (- im)))) * [enter]simplify: Simplifying (sqrt (sqrt (exp (- 0 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 (sqrt (sqrt (exp (- im)))) * [exit]simplify: Simplified to (sqrt (sqrt (exp (- im)))) * * * * [misc]progress: [ 39 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [exit]simplify: Simplified to (sqrt 1) * [enter]simplify: Simplifying (sqrt (exp (- 0 im))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * [exit]simplify: Simplified to (sqrt (exp (- im))) * [exit]simplify: Simplified to (sqrt (exp (- im))) * * * * [misc]progress: [ 40 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [exit]simplify: Simplified to (sqrt 1) * [enter]simplify: Simplifying (sqrt (exp im)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (exp im)) * [exit]simplify: Simplified to (sqrt (exp im)) * * * * [misc]progress: [ 41 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (exp 0)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (sqrt 1) * [exit]simplify: Simplified to (sqrt 1) * [enter]simplify: Simplifying (sqrt (exp im)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (exp im)) * [exit]simplify: Simplified to (sqrt (exp im)) * * * * [misc]progress: [ 42 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (exp (- 0 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 (sqrt (sqrt (exp (- im)))) * [exit]simplify: Simplified to (sqrt (sqrt (exp (- im)))) * [enter]simplify: Simplifying (sqrt (sqrt (exp (- 0 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 (sqrt (sqrt (exp (- im)))) * [exit]simplify: Simplified to (sqrt (sqrt (exp (- im)))) * * * * [misc]progress: [ 43 / 53 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 53 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* 0.5 (sin re)) (+ 2 (+ (* 1/12 (pow im 4)) (pow im 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (160 enodes) * * [misc]simplify: iters left: 2 (301 enodes) * * [misc]simplify: iters left: 1 (448 enodes) * [exit]simplify: Simplified to (* (fma 1/12 (pow im 4) (fma im im 2)) (* 0.5 (sin re))) * * * * [misc]progress: [ 46 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* 0.5 (sin re)) (+ (exp (- im)) (exp im))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (175 enodes) * * [misc]simplify: iters left: 1 (232 enodes) * [exit]simplify: Simplified to (* (fma 0.5 (exp im) (/ 0.5 (exp im))) (sin re)) * * * * [misc]progress: [ 47 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* 0.5 (sin re)) (+ (exp (* -1 im)) (exp im))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (107 enodes) * * [misc]simplify: iters left: 1 (126 enodes) * [exit]simplify: Simplified to (* (sin re) (fma 0.5 (exp im) (/ 0.5 (exp im)))) * * * * [misc]progress: [ 48 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* 0.5 (sin re)) (fma (sqrt (exp (- 0 im))) (- (+ 1 (* 1/8 (pow im 2))) (* 1/2 im)) (exp im))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (86 enodes) * [exit]simplify: Simplified to (* (fma (sqrt (exp (- im))) (fma im (- (* 1/8 im) 1/2) 1) (exp im)) (* 0.5 (sin re))) * * * * [misc]progress: [ 49 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* 0.5 (sin re)) (fma (sqrt (exp (- 0 im))) (sqrt (exp (- im))) (exp im))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * [exit]simplify: Simplified to (* (fma (sqrt (exp (- im))) (sqrt (exp (- im))) (exp im)) (* 0.5 (sin re))) * * * * [misc]progress: [ 50 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* 0.5 (sin re)) (fma (sqrt (exp (- 0 im))) (sqrt (exp (* -1 im))) (exp im))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * [exit]simplify: Simplified to (* (* 0.5 (sin re)) (fma (sqrt (exp (- im))) (sqrt (exp (- im))) (exp im))) * * * * [misc]progress: [ 51 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* 0.5 (sin re)) (fma (- (+ 1 (* 1/8 (pow im 2))) (* 1/2 im)) (sqrt (exp (- 0 im))) (exp im))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (86 enodes) * [exit]simplify: Simplified to (* (fma (fma im (- (* im 1/8) 1/2) 1) (sqrt (exp (- im))) (exp im)) (* 0.5 (sin re))) * * * * [misc]progress: [ 52 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* 0.5 (sin re)) (fma (sqrt (exp (- im))) (sqrt (exp (- 0 im))) (exp im))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * [exit]simplify: Simplified to (* (fma (sqrt (exp (- im))) (sqrt (exp (- im))) (exp im)) (* 0.5 (sin re))) * * * * [misc]progress: [ 53 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* 0.5 (sin re)) (fma (sqrt (exp (* -1 im))) (sqrt (exp (- 0 im))) (exp im))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * [exit]simplify: Simplified to (* (* 0.5 (sin re)) (fma (sqrt (exp (- im))) (sqrt (exp (- im))) (exp im))) * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime-changes: Finding splitpoints for: (# #) * [misc]regimes: Found splitpoints: (#s(sp 0 (* (* 0.5 (sin re)) (+ (exp (- 0 im)) (exp im))) +nan.0)) , with alts (#) * [enter]simplify: Simplifying (* (* 0.5 (sin re)) (+ (exp (- 0 im)) (exp im))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (* (+ (exp im) (exp (- im))) (* 0.5 (sin re)))