* [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 (cos re)) (+ (exp (- im)) (exp im))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (111 enodes) * * [misc]simplify: iters left: 1 (122 enodes) * [exit]simplify: Simplified to (* (+ (/ 0.5 (exp im)) (* (exp im) 0.5)) (cos re)) * [misc]progress: [Phase 2 of 3] Improving. * * [misc]progress: iteration 1 / 2 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 1 ] generating series at (2 2) * [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]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) 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)) (exp im)) in im * [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) 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 (- 1) into -1 * [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 (- 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 (* (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 (- 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 (* (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 (- 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 (* (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 (/ 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)) 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))) (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 (/ 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)) 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 (- (/ 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 (/ 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))) 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)))) (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 (/ 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))) 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: generating rewritten candidates * * * * [misc]progress: [ 1 / 1 ] rewriting at (2 2) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 15 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* 0.5 (cos 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 (68 enodes) * * [misc]simplify: iters left: 3 (137 enodes) * * [misc]simplify: iters left: 2 (223 enodes) * * [misc]simplify: iters left: 1 (284 enodes) * [exit]simplify: Simplified to (* (+ (+ 2 (* im im)) (* 1/12 (pow im 4))) (* (cos re) 0.5)) * * * * [misc]progress: [ 2 / 15 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* 0.5 (cos 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 (55 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (95 enodes) * * [misc]simplify: iters left: 1 (116 enodes) * [exit]simplify: Simplified to (+ (/ (* 0.5 (cos re)) (exp (/ 1 im))) (* (* 0.5 (cos re)) (exp (/ 1 im)))) * * * * [misc]progress: [ 3 / 15 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* 0.5 (cos 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 (50 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * [exit]simplify: Simplified to (* (* (cos re) 0.5) (+ (exp (/ 1 im)) (exp (/ -1 im)))) * * * * [misc]progress: [ 4 / 15 ] 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: [ 5 / 15 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 15 ] 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: [ 7 / 15 ] 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: [ 8 / 15 ] 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: [ 9 / 15 ] 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 (63 enodes) * * [misc]simplify: iters left: 2 (137 enodes) * * [misc]simplify: iters left: 1 (325 enodes) * [exit]simplify: Simplified to (cube (+ (exp (- im)) (exp im))) * [exit]simplify: Simplified to (cube (+ (exp (- im)) (exp im))) * * * * [misc]progress: [ 10 / 15 ] 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: [ 11 / 15 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 15 ] 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 (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 (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 (42 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to (+ (exp (+ (- im) (- im))) (- (exp (+ im im)) 1)) * [exit]simplify: Simplified to (+ (exp (+ (- im) (- im))) (- (exp (+ im im)) 1)) * * * * [misc]progress: [ 13 / 15 ] 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 (50 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * [exit]simplify: Simplified to (- (exp (- (+ im im))) (* (exp im) (exp im))) * [exit]simplify: Simplified to (- (exp (- (+ im im))) (* (exp im) (exp 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: [ 14 / 15 ] 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: [ 15 / 15 ] 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 1) * [misc]approximate: Taking taylor expansion of (cbrt (+ (exp (- im)) (exp im))) in (im) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ (exp (- im)) (exp im))) in im * [misc]backup-simplify: Simplify (cbrt (+ (exp (- im)) (exp im))) into (cbrt (+ (exp im) (exp (- im)))) * [misc]taylor: Taking taylor expansion of (cbrt (+ (exp (- im)) (exp im))) in im * [misc]backup-simplify: Simplify (cbrt (+ (exp (- im)) (exp im))) into (cbrt (+ (exp im) (exp (- im)))) * [misc]backup-simplify: Simplify (cbrt (+ (exp im) (exp (- im)))) into (cbrt (+ (exp im) (exp (- 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 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cbrt (+ (exp im) (exp (- im)))) into (cbrt (+ (exp im) (exp (- im)))) * [misc]approximate: Taking taylor expansion of (cbrt (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in (im) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in im * [misc]backup-simplify: Simplify (cbrt (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) into (cbrt (+ (exp (/ 1 im)) (exp (- (/ 1 im))))) * [misc]taylor: Taking taylor expansion of (cbrt (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in im * [misc]backup-simplify: Simplify (cbrt (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) into (cbrt (+ (exp (/ 1 im)) (exp (- (/ 1 im))))) * [misc]backup-simplify: Simplify (cbrt (+ (exp (/ 1 im)) (exp (- (/ 1 im))))) into (cbrt (+ (exp (/ 1 im)) (exp (- (/ 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 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cbrt (+ (exp (/ 1 im)) (exp (- (/ 1 im))))) into (cbrt (+ (exp (/ 1 im)) (exp (- (/ 1 im))))) * [misc]approximate: Taking taylor expansion of (cbrt (+ (exp (- (/ 1 (- im)))) (exp (/ 1 (- im))))) in (im) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ (exp (- (/ 1 (- im)))) (exp (/ 1 (- im))))) in im * [misc]backup-simplify: Simplify (cbrt (+ (exp (- (/ 1 (- im)))) (exp (/ 1 (- im))))) into (cbrt (+ (exp (/ 1 im)) (exp (/ -1 im)))) * [misc]taylor: Taking taylor expansion of (cbrt (+ (exp (- (/ 1 (- im)))) (exp (/ 1 (- im))))) in im * [misc]backup-simplify: Simplify (cbrt (+ (exp (- (/ 1 (- im)))) (exp (/ 1 (- im))))) into (cbrt (+ (exp (/ 1 im)) (exp (/ -1 im)))) * [misc]backup-simplify: Simplify (cbrt (+ (exp (/ 1 im)) (exp (/ -1 im)))) into (cbrt (+ (exp (/ 1 im)) (exp (/ -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 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cbrt (+ (exp (/ 1 im)) (exp (/ -1 im)))) into (cbrt (+ (exp (/ 1 im)) (exp (/ -1 im)))) * * * * [misc]progress: [ 2 / 3 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (cube (cbrt (+ (exp (- im)) (exp im)))) in (im) around 0 * [misc]taylor: Taking taylor expansion of (cube (cbrt (+ (exp (- im)) (exp im)))) in im * [misc]backup-simplify: Simplify (cube (cbrt (+ (exp (- im)) (exp im)))) into (+ (exp im) (exp (- im))) * [misc]taylor: Taking taylor expansion of (cube (cbrt (+ (exp (- im)) (exp im)))) in im * [misc]backup-simplify: Simplify (cube (cbrt (+ (exp (- im)) (exp im)))) into (+ (exp im) (exp (- im))) * [misc]backup-simplify: Simplify (+ (exp im) (exp (- im))) into (+ (exp im) (exp (- 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 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (exp im) (exp (- im))) into (+ (exp im) (exp (- im))) * [misc]approximate: Taking taylor expansion of (cube (cbrt (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in (im) around 0 * [misc]taylor: Taking taylor expansion of (cube (cbrt (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in im * [misc]backup-simplify: Simplify (cube (cbrt (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) into (+ (exp (/ 1 im)) (exp (- (/ 1 im)))) * [misc]taylor: Taking taylor expansion of (cube (cbrt (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in im * [misc]backup-simplify: Simplify (cube (cbrt (+ (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 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 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 (cube (cbrt (+ (exp (- (/ 1 (- im)))) (exp (/ 1 (- im)))))) in (im) around 0 * [misc]taylor: Taking taylor expansion of (cube (cbrt (+ (exp (- (/ 1 (- im)))) (exp (/ 1 (- im)))))) in im * [misc]backup-simplify: Simplify (cube (cbrt (+ (exp (- (/ 1 (- im)))) (exp (/ 1 (- im)))))) into (+ (exp (/ 1 im)) (exp (/ -1 im))) * [misc]taylor: Taking taylor expansion of (cube (cbrt (+ (exp (- (/ 1 (- im)))) (exp (/ 1 (- im)))))) in im * [misc]backup-simplify: Simplify (cube (cbrt (+ (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 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 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 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]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) 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)) (exp im)) in im * [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) 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 (- 1) into -1 * [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 (- 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 (* (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 (- 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 (* (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 (- 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 (* (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 (/ 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)) 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))) (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 (/ 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)) 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 (- (/ 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 (/ 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))) 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)))) (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 (/ 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))) 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: generating rewritten candidates * * * * [misc]progress: [ 1 / 3 ] rewriting at (2 2 1) * * * * [misc]progress: [ 2 / 3 ] rewriting at (2 2) * * * * [misc]progress: [ 3 / 3 ] rewriting at (2 2 1 1) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* 0.5 (cos re)) (cube (cbrt (+ (exp im) (exp (- im)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (172 enodes) * * [misc]simplify: iters left: 1 (224 enodes) * [exit]simplify: Simplified to (* (+ (/ (cos re) (exp im)) (* (exp im) (cos re))) 0.5) * * * * [misc]progress: [ 2 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* 0.5 (cos re)) (cube (cbrt (+ (exp (/ 1 im)) (exp (- (/ 1 im))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (165 enodes) * * [misc]simplify: iters left: 1 (200 enodes) * [exit]simplify: Simplified to (+ (/ (* (cos re) 0.5) (exp (/ 1 im))) (* (* (cos re) 0.5) (exp (/ 1 im)))) * * * * [misc]progress: [ 3 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* 0.5 (cos re)) (cube (cbrt (+ (exp (/ 1 im)) (exp (/ -1 im)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (125 enodes) * * [misc]simplify: iters left: 1 (157 enodes) * [exit]simplify: Simplified to (* (* (cos re) 0.5) (+ (exp (/ 1 im)) (exp (/ -1 im)))) * * * * [misc]progress: [ 4 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* 0.5 (cos re)) (+ (exp im) (exp (- im)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (94 enodes) * * [misc]simplify: iters left: 1 (113 enodes) * [exit]simplify: Simplified to (* 0.5 (+ (* (exp im) (cos re)) (/ (cos re) (exp im)))) * * * * [misc]progress: [ 5 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* 0.5 (cos 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 (55 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (95 enodes) * * [misc]simplify: iters left: 1 (116 enodes) * [exit]simplify: Simplified to (+ (/ (* 0.5 (cos re)) (exp (/ 1 im))) (* (* 0.5 (cos re)) (exp (/ 1 im)))) * * * * [misc]progress: [ 6 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* 0.5 (cos 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 (50 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * [exit]simplify: Simplified to (* (* (cos re) 0.5) (+ (exp (/ 1 im)) (exp (/ -1 im)))) * * * * [misc]progress: [ 7 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* 0.5 (cos re)) (cube (cbrt (+ 2 (+ (sqr im) (* 1/12 (pow im 4))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (126 enodes) * * [misc]simplify: iters left: 2 (242 enodes) * * [misc]simplify: iters left: 1 (360 enodes) * [exit]simplify: Simplified to (* (* (cos re) 0.5) (+ (+ 2 (* im im)) (* 1/12 (pow im 4)))) * * * * [misc]progress: [ 8 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* 0.5 (cos re)) (cube (cbrt (+ (exp (/ 1 im)) (exp (- (/ 1 im))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (165 enodes) * * [misc]simplify: iters left: 1 (200 enodes) * [exit]simplify: Simplified to (+ (/ (* (cos re) 0.5) (exp (/ 1 im))) (* (* (cos re) 0.5) (exp (/ 1 im)))) * * * * [misc]progress: [ 9 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* 0.5 (cos re)) (cube (cbrt (+ (exp (/ 1 im)) (exp (/ -1 im)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (125 enodes) * * [misc]simplify: iters left: 1 (157 enodes) * [exit]simplify: Simplified to (* (* (cos re) 0.5) (+ (exp (/ 1 im)) (exp (/ -1 im)))) * * * * [misc]progress: [ 10 / 47 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 47 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cbrt (+ (exp (- im)) (exp im)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (log (cbrt (+ (exp (- im)) (exp im)))) * [exit]simplify: Simplified to (log (cbrt (+ (exp (- im)) (exp im)))) * * * * [misc]progress: [ 13 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cbrt (+ (exp (- im)) (exp im)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (exp (cbrt (+ (exp (- im)) (exp im)))) * [exit]simplify: Simplified to (exp (cbrt (+ (exp (- im)) (exp im)))) * * * * [misc]progress: [ 14 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [exit]simplify: Simplified to (cbrt 1) * [enter]simplify: Simplifying (cbrt (+ (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: [ 15 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [exit]simplify: Simplified to (cbrt 1) * [enter]simplify: Simplifying (cbrt (+ (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: [ 16 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (pow (exp (- im)) 3) (pow (exp im) 3))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (67 enodes) * [exit]simplify: Simplified to (cbrt (- (exp (- (- im) (+ im im))) (cube (exp im)))) * [exit]simplify: Simplified to (cbrt (- (exp (- (- im) (+ im im))) (cube (exp im)))) * [enter]simplify: Simplifying (cbrt (+ (sqr (exp (- im))) (- (sqr (exp im)) (* (exp (- im)) (exp im))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (78 enodes) * [exit]simplify: Simplified to (cbrt (+ (* (exp (- im)) (exp (- im))) (- (* (exp im) (exp im)) 1))) * [exit]simplify: Simplified to (cbrt (+ (* (exp (- im)) (exp (- im))) (- (* (exp im) (exp im)) 1))) * * * * [misc]progress: [ 17 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (sqr (exp (- im))) (sqr (exp im)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (cbrt (* (+ (exp im) (exp (- im))) (- (exp (- im)) (exp im)))) * [exit]simplify: Simplified to (cbrt (* (+ (exp im) (exp (- im))) (- (exp (- im)) (exp im)))) * [enter]simplify: Simplifying (cbrt (- (exp (- im)) (exp im))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (cbrt (- (exp (- im)) (exp im))) * [exit]simplify: Simplified to (cbrt (- (exp (- im)) (exp im))) * * * * [misc]progress: [ 18 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cbrt (+ (exp (- im)) (exp im)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (+ (exp (- im)) (exp im)))) * [exit]simplify: Simplified to (cbrt (cbrt (+ (exp (- im)) (exp im)))) * * * * [misc]progress: [ 19 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt (+ (exp (- im)) (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 (- im)) (exp im)) * [exit]simplify: Simplified to (+ (exp (- im)) (exp im)) * * * * [misc]progress: [ 20 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (+ (exp (- im)) (exp im)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (+ (exp (- im)) (exp im)))) * [exit]simplify: Simplified to (sqrt (cbrt (+ (exp (- im)) (exp im)))) * * * * [misc]progress: [ 21 / 47 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 47 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 47 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cube (cbrt (+ (exp (- im)) (exp im))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (log (+ (exp (- im)) (exp im))) * [exit]simplify: Simplified to (log (+ (exp (- im)) (exp im))) * * * * [misc]progress: [ 25 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cube (cbrt (+ (exp (- im)) (exp im))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * [exit]simplify: Simplified to (exp (+ (exp (- im)) (exp im))) * [exit]simplify: Simplified to (exp (+ (exp (- im)) (exp im))) * * * * [misc]progress: [ 26 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cube (cbrt (+ (exp (- im)) (exp im))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (cbrt (+ (exp (- im)) (exp im))) * [exit]simplify: Simplified to (cbrt (+ (exp (- im)) (exp im))) * * * * [misc]progress: [ 27 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cube (cbrt (+ (exp (- im)) (exp im))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (149 enodes) * * [misc]simplify: iters left: 1 (213 enodes) * [exit]simplify: Simplified to (cube (+ (exp (- im)) (exp im))) * [exit]simplify: Simplified to (cube (+ (exp (- im)) (exp im))) * * * * [misc]progress: [ 28 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt 1)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (cube (cbrt (+ (exp (- im)) (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 (- im)) (exp im)) * [exit]simplify: Simplified to (+ (exp (- im)) (exp im)) * * * * [misc]progress: [ 29 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt 1)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (cube (cbrt (+ (exp (- im)) (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 (- im)) (exp im)) * [exit]simplify: Simplified to (+ (exp (- im)) (exp im)) * * * * [misc]progress: [ 30 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (cube 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cube 1) * [exit]simplify: Simplified to (cube 1) * [enter]simplify: Simplifying (cube (cbrt (+ (exp (- im)) (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 (- im)) (exp im)) * [exit]simplify: Simplified to (+ (exp (- im)) (exp im)) * * * * [misc]progress: [ 31 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt (- (pow (exp (- im)) 3) (pow (exp im) 3)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (- (exp (- (- im) (+ im im))) (cube (exp im))) * [exit]simplify: Simplified to (- (exp (- (- im) (+ im im))) (cube (exp im))) * [enter]simplify: Simplifying (cube (cbrt (+ (sqr (exp (- im))) (- (sqr (exp im)) (* (exp (- im)) (exp im)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (86 enodes) * * [misc]simplify: iters left: 1 (102 enodes) * [exit]simplify: Simplified to (+ (* (exp (- im)) (exp (- im))) (- (sqr (exp im)) 1)) * [exit]simplify: Simplified to (+ (* (exp (- im)) (exp (- im))) (- (sqr (exp im)) 1)) * * * * [misc]progress: [ 32 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt (- (sqr (exp (- im))) (sqr (exp im))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (60 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 (cube (cbrt (- (exp (- im)) (exp im)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (- (exp (- im)) (exp im)) * [exit]simplify: Simplified to (- (exp (- im)) (exp im)) * * * * [misc]progress: [ 33 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ (exp (- im)) (exp im))) (cbrt (+ (exp (- 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))) (cbrt (+ (exp (- im)) (exp im)))) * [exit]simplify: Simplified to (* (cbrt (+ (exp (- im)) (exp im))) (cbrt (+ (exp (- im)) (exp im)))) * * * * [misc]progress: [ 34 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cube (cbrt (+ (exp (- im)) (exp im))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (sqrt (+ (exp (- im)) (exp im))) * [exit]simplify: Simplified to (sqrt (+ (exp (- im)) (exp im))) * * * * [misc]progress: [ 35 / 47 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 47 ] 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: [ 37 / 47 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 47 ] 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: [ 39 / 47 ] 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: [ 40 / 47 ] 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: [ 41 / 47 ] 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 (63 enodes) * * [misc]simplify: iters left: 2 (137 enodes) * * [misc]simplify: iters left: 1 (325 enodes) * [exit]simplify: Simplified to (cube (+ (exp (- im)) (exp im))) * [exit]simplify: Simplified to (cube (+ (exp (- im)) (exp im))) * * * * [misc]progress: [ 42 / 47 ] 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: [ 43 / 47 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 47 ] 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 (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 (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 (42 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to (+ (exp (+ (- im) (- im))) (- (exp (+ im im)) 1)) * [exit]simplify: Simplified to (+ (exp (+ (- im) (- im))) (- (exp (+ im im)) 1)) * * * * [misc]progress: [ 45 / 47 ] 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 (50 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * [exit]simplify: Simplified to (- (exp (- (+ im im))) (* (exp im) (exp im))) * [exit]simplify: Simplified to (- (exp (- (+ im im))) (* (exp im) (exp 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: [ 46 / 47 ] 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: [ 47 / 47 ] simplifiying candidate # * * * [misc]progress: adding candidates to table * * [misc]progress: Final touches. * * * [misc]progress: tayloring alt 1 of 2 * [misc]approximate: Taking taylor expansion of (cbrt (+ (exp (- im)) (exp im))) in (im) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ (exp (- im)) (exp im))) in im * [misc]backup-simplify: Simplify (cbrt (+ (exp (- im)) (exp im))) into (cbrt (+ (exp im) (exp (- im)))) * [misc]taylor: Taking taylor expansion of (cbrt (+ (exp (- im)) (exp im))) in im * [misc]backup-simplify: Simplify (cbrt (+ (exp (- im)) (exp im))) into (cbrt (+ (exp im) (exp (- im)))) * [misc]backup-simplify: Simplify (cbrt (+ (exp im) (exp (- im)))) into (cbrt (+ (exp im) (exp (- 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 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cbrt (+ (exp im) (exp (- im)))) into (cbrt (+ (exp im) (exp (- im)))) * [misc]approximate: Taking taylor expansion of (cbrt (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in (im) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in im * [misc]backup-simplify: Simplify (cbrt (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) into (cbrt (+ (exp (/ 1 im)) (exp (- (/ 1 im))))) * [misc]taylor: Taking taylor expansion of (cbrt (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in im * [misc]backup-simplify: Simplify (cbrt (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) into (cbrt (+ (exp (/ 1 im)) (exp (- (/ 1 im))))) * [misc]backup-simplify: Simplify (cbrt (+ (exp (/ 1 im)) (exp (- (/ 1 im))))) into (cbrt (+ (exp (/ 1 im)) (exp (- (/ 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 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cbrt (+ (exp (/ 1 im)) (exp (- (/ 1 im))))) into (cbrt (+ (exp (/ 1 im)) (exp (- (/ 1 im))))) * [misc]approximate: Taking taylor expansion of (cbrt (+ (exp (- (/ 1 (- im)))) (exp (/ 1 (- im))))) in (im) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ (exp (- (/ 1 (- im)))) (exp (/ 1 (- im))))) in im * [misc]backup-simplify: Simplify (cbrt (+ (exp (- (/ 1 (- im)))) (exp (/ 1 (- im))))) into (cbrt (+ (exp (/ 1 im)) (exp (/ -1 im)))) * [misc]taylor: Taking taylor expansion of (cbrt (+ (exp (- (/ 1 (- im)))) (exp (/ 1 (- im))))) in im * [misc]backup-simplify: Simplify (cbrt (+ (exp (- (/ 1 (- im)))) (exp (/ 1 (- im))))) into (cbrt (+ (exp (/ 1 im)) (exp (/ -1 im)))) * [misc]backup-simplify: Simplify (cbrt (+ (exp (/ 1 im)) (exp (/ -1 im)))) into (cbrt (+ (exp (/ 1 im)) (exp (/ -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 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cbrt (+ (exp (/ 1 im)) (exp (/ -1 im)))) into (cbrt (+ (exp (/ 1 im)) (exp (/ -1 im)))) * [misc]approximate: Taking taylor expansion of (cube (cbrt (+ (exp (- im)) (exp im)))) in (im) around 0 * [misc]taylor: Taking taylor expansion of (cube (cbrt (+ (exp (- im)) (exp im)))) in im * [misc]backup-simplify: Simplify (cube (cbrt (+ (exp (- im)) (exp im)))) into (+ (exp im) (exp (- im))) * [misc]taylor: Taking taylor expansion of (cube (cbrt (+ (exp (- im)) (exp im)))) in im * [misc]backup-simplify: Simplify (cube (cbrt (+ (exp (- im)) (exp im)))) into (+ (exp im) (exp (- im))) * [misc]backup-simplify: Simplify (+ (exp im) (exp (- im))) into (+ (exp im) (exp (- 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 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (exp im) (exp (- im))) into (+ (exp im) (exp (- im))) * [misc]approximate: Taking taylor expansion of (cube (cbrt (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in (im) around 0 * [misc]taylor: Taking taylor expansion of (cube (cbrt (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in im * [misc]backup-simplify: Simplify (cube (cbrt (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) into (+ (exp (/ 1 im)) (exp (- (/ 1 im)))) * [misc]taylor: Taking taylor expansion of (cube (cbrt (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in im * [misc]backup-simplify: Simplify (cube (cbrt (+ (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 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 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 (cube (cbrt (+ (exp (- (/ 1 (- im)))) (exp (/ 1 (- im)))))) in (im) around 0 * [misc]taylor: Taking taylor expansion of (cube (cbrt (+ (exp (- (/ 1 (- im)))) (exp (/ 1 (- im)))))) in im * [misc]backup-simplify: Simplify (cube (cbrt (+ (exp (- (/ 1 (- im)))) (exp (/ 1 (- im)))))) into (+ (exp (/ 1 im)) (exp (/ -1 im))) * [misc]taylor: Taking taylor expansion of (cube (cbrt (+ (exp (- (/ 1 (- im)))) (exp (/ 1 (- im)))))) in im * [misc]backup-simplify: Simplify (cube (cbrt (+ (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 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 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 (- 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]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) 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)) (exp im)) in im * [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) 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 (- 1) into -1 * [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 (- 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 (* (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 (- 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 (* (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 (- 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 (* (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 (/ 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)) 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))) (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 (/ 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)) 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 (- (/ 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 (/ 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))) 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)))) (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 (/ 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))) 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: tayloring alt 2 of 2 * [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]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) 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)) (exp im)) in im * [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) 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 (- 1) into -1 * [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 (- 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 (* (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 (- 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 (* (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 (- 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 (* (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 (/ 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)) 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))) (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 (/ 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)) 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 (- (/ 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 (/ 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))) 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)))) (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 (/ 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))) 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: simplifying alt 1 of 12 * [enter]simplify: Simplifying (* (* 0.5 (cos re)) (cube (cbrt (+ (exp im) (exp (- im)))))) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (* (* (cos re) 0.5) (+ (exp im) (exp (- im)))) * [misc]none: prog is (λ (re im) (* (* (cos re) 0.5) (+ (exp im) (exp (- im))))) * * * [misc]progress: simplifying alt 2 of 12 * [enter]simplify: Simplifying (* (* 0.5 (cos re)) (cube (cbrt (+ (exp (/ 1 im)) (exp (- (/ 1 im))))))) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (* (+ (/ 1 (exp (/ 1 im))) (exp (/ 1 im))) (* (cos re) 0.5)) * [misc]none: prog is (λ (re im) (* (+ (/ 1 (exp (/ 1 im))) (exp (/ 1 im))) (* (cos re) 0.5))) * * * [misc]progress: simplifying alt 3 of 12 * [enter]simplify: Simplifying (* (* 0.5 (cos re)) (cube (cbrt (+ (exp (/ 1 im)) (exp (/ -1 im)))))) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (* (* (cos re) 0.5) (+ (exp (/ 1 im)) (exp (/ -1 im)))) * [misc]none: prog is (λ (re im) (* (* (cos re) 0.5) (+ (exp (/ 1 im)) (exp (/ -1 im))))) * * * [misc]progress: simplifying alt 4 of 12 * [enter]simplify: Simplifying (* (* 0.5 (cos re)) (+ (exp im) (exp (- im)))) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (+ (* (* (cos re) 0.5) (exp im)) (/ (* (cos re) 0.5) (exp im))) * [misc]none: prog is (λ (re im) (+ (* (* (cos re) 0.5) (exp im)) (/ (* (cos re) 0.5) (exp im)))) * * * [misc]progress: simplifying alt 5 of 12 * [enter]simplify: Simplifying (* (* 0.5 (cos re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im))))) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (+ (/ (* (cos re) 0.5) (exp (/ 1 im))) (* (* (cos re) 0.5) (exp (/ 1 im)))) * [misc]none: prog is (λ (re im) (+ (/ (* (cos re) 0.5) (exp (/ 1 im))) (* (* (cos re) 0.5) (exp (/ 1 im))))) * * * [misc]progress: simplifying alt 6 of 12 * [enter]simplify: Simplifying (* (* 0.5 (cos re)) (+ (exp (/ 1 im)) (exp (/ -1 im)))) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (* (* (cos re) 0.5) (+ (exp (/ 1 im)) (exp (/ -1 im)))) * [misc]none: prog is (λ (re im) (* (* (cos re) 0.5) (+ (exp (/ 1 im)) (exp (/ -1 im))))) * * * [misc]progress: simplifying alt 7 of 12 * [enter]simplify: Simplifying (* (* 0.5 (cos re)) (cube (cbrt (+ 2 (+ (sqr im) (* 1/12 (pow im 4))))))) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * [exit]simplify: Simplified to (* (* (cos re) 0.5) (+ (+ 2 (* im im)) (* 1/12 (pow im 4)))) * [misc]none: prog is (λ (re im) (* (* (cos re) 0.5) (+ (+ 2 (* im im)) (* 1/12 (pow im 4))))) * * * [misc]progress: simplifying alt 8 of 12 * [enter]simplify: Simplifying (* (* 0.5 (cos re)) (cube (cbrt (+ (exp (/ 1 im)) (exp (- (/ 1 im))))))) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (* (+ (/ 1 (exp (/ 1 im))) (exp (/ 1 im))) (* (cos re) 0.5)) * [misc]none: prog is (λ (re im) (* (+ (/ 1 (exp (/ 1 im))) (exp (/ 1 im))) (* (cos re) 0.5))) * * * [misc]progress: simplifying alt 9 of 12 * [enter]simplify: Simplifying (* (* 0.5 (cos re)) (cube (cbrt (+ (exp (/ 1 im)) (exp (/ -1 im)))))) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (* (* (cos re) 0.5) (+ (exp (/ 1 im)) (exp (/ -1 im)))) * [misc]none: prog is (λ (re im) (* (* (cos re) 0.5) (+ (exp (/ 1 im)) (exp (/ -1 im))))) * * * [misc]progress: simplifying alt 10 of 12 * [enter]simplify: Simplifying (* (* 0.5 (cos re)) (+ 2 (+ (sqr im) (* 1/12 (pow im 4))))) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (68 enodes) * [exit]simplify: Simplified to (* (+ (+ 2 (* im im)) (* 1/12 (pow im 4))) (* (cos re) 0.5)) * [misc]none: prog is (λ (re im) (* (+ (+ 2 (* im im)) (* 1/12 (pow im 4))) (* (cos re) 0.5))) * * * [misc]progress: simplifying alt 11 of 12 * [enter]simplify: Simplifying (* (* 0.5 (cos re)) (+ (exp (/ 1 im)) (exp (- (/ 1 im))))) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (+ (/ (* (cos re) 0.5) (exp (/ 1 im))) (* (* (cos re) 0.5) (exp (/ 1 im)))) * [misc]none: prog is (λ (re im) (+ (/ (* (cos re) 0.5) (exp (/ 1 im))) (* (* (cos re) 0.5) (exp (/ 1 im))))) * * * [misc]progress: simplifying alt 12 of 12 * [enter]simplify: Simplifying (* (* 0.5 (cos re)) (+ (exp (/ 1 im)) (exp (/ -1 im)))) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (* (* (cos re) 0.5) (+ (exp (/ 1 im)) (exp (/ -1 im)))) * [misc]none: prog is (λ (re im) (* (* (cos re) 0.5) (+ (exp (/ 1 im)) (exp (/ -1 im))))) * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime-changes: Finding splitpoints for: (# # #) * [misc]regimes: Found splitpoints: (#s(sp 0 im +inf.0)) , with alts (#) * [enter]simplify: Simplifying (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))) * [enter]simplify: Simplifying (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (111 enodes) * * [misc]simplify: iters left: 1 (122 enodes) * [exit]simplify: Simplified to (* (+ (/ 0.5 (exp im)) (* (exp im) 0.5)) (cos re)) * [enter]simplify: Simplifying (+ (* (* (cos re) 0.5) (exp im)) (/ (* (cos re) 0.5) (exp im))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * [exit]simplify: Simplified to (* (+ (/ (cos re) (exp im)) (* (exp im) (cos re))) 0.5)