* [misc]progress: [Phase 1 of 3] Setting up. * * * [misc]progress: [1/2] Preparing points * * * * [misc]points: Sampling 256 additional inputs, on iter 0 have 0 / 256 * * * * [misc]points: Computing exacts on every 16 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 8 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 4 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 2 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 256 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 132 additional inputs, on iter 1 have 124 / 256 * * * * [misc]points: Computing exacts on every 8 of 132 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 4 of 132 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 2 of 132 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 132 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 75 additional inputs, on iter 2 have 181 / 256 * * * * [misc]points: Computing exacts on every 4 of 75 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 2 of 75 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts for 75 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 31 additional inputs, on iter 3 have 225 / 256 * * * * [misc]points: Computing exacts for 31 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 17 additional inputs, on iter 4 have 239 / 256 * * * * [misc]points: Computing exacts for 17 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 5 additional inputs, on iter 5 have 251 / 256 * * * * [misc]points: Computing exacts for 5 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 6 have 253 / 256 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 7 have 255 / 256 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 256 points with exact outputs * * * [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 (26 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (238 enodes) * * [misc]simplify: iters left: 1 (478 enodes) * [exit]simplify: Simplified to (* (sin re) (+ (/ 0.5 (exp im)) (* 0.5 (exp im)))) * * [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 / 2 ] rewriting at (2 2 1) * * * * [misc]progress: [ 2 / 2 ] rewriting at (2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 2 ] generating series at (2 2 1) * [misc]approximate: Taking taylor expansion of (/ 0.5 (exp im)) in (im) around 0 * [misc]taylor: Taking taylor expansion of (/ 0.5 (exp im)) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (exp im) in im * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (/ 0.5 1) into 0.5 * [misc]taylor: Taking taylor expansion of (/ 0.5 (exp im)) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (exp im) in im * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (/ 0.5 1) into 0.5 * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 0.5 (/ 1 1)))) into (- 0.5) * [misc]backup-simplify: Simplify (- 0.5) into (- 0.5) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 0.5 (/ 1/2 1)) (* (- 0.5) (/ 1 1)))) into 0.25 * [misc]backup-simplify: Simplify 0.25 into 0.25 * [misc]backup-simplify: Simplify (+ (* 0.25 (pow im 2)) (+ (* (- 0.5) im) 0.5)) into (- (+ (* 0.25 (pow im 2)) 0.5) (* 0.5 im)) * [misc]approximate: Taking taylor expansion of (/ 0.5 (exp (/ 1 im))) in (im) around 0 * [misc]taylor: Taking taylor expansion of (/ 0.5 (exp (/ 1 im))) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (exp (/ 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 (/ 0.5 (exp (/ 1 im))) into (/ 0.5 (exp (/ 1 im))) * [misc]taylor: Taking taylor expansion of (/ 0.5 (exp (/ 1 im))) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (exp (/ 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 (/ 0.5 (exp (/ 1 im))) into (/ 0.5 (exp (/ 1 im))) * [misc]backup-simplify: Simplify (/ 0.5 (exp (/ 1 im))) into (/ 0.5 (exp (/ 1 im))) * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ 1 im))) (+ (* (/ 0.5 (exp (/ 1 im))) (/ 0 (exp (/ 1 im)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ 1 im))) (+ (* (/ 0.5 (exp (/ 1 im))) (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ 1 im))) (+ (* (/ 0.5 (exp (/ 1 im))) (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ 1 im))) (+ (* (/ 0.5 (exp (/ 1 im))) (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ 1 im))) (+ (* (/ 0.5 (exp (/ 1 im))) (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ 1 im))) (+ (* (/ 0.5 (exp (/ 1 im))) (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 0.5 (exp (/ 1 (/ 1 im)))) into (/ 0.5 (exp im)) * [misc]approximate: Taking taylor expansion of (/ 0.5 (exp (/ 1 (- im)))) in (im) around 0 * [misc]taylor: Taking taylor expansion of (/ 0.5 (exp (/ 1 (- im)))) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (exp (/ 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 (/ 0.5 (exp (/ -1 im))) into (/ 0.5 (exp (/ -1 im))) * [misc]taylor: Taking taylor expansion of (/ 0.5 (exp (/ 1 (- im)))) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (exp (/ 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 (/ 0.5 (exp (/ -1 im))) into (/ 0.5 (exp (/ -1 im))) * [misc]backup-simplify: Simplify (/ 0.5 (exp (/ -1 im))) into (/ 0.5 (exp (/ -1 im))) * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ -1 im))) (+ (* (/ 0.5 (exp (/ -1 im))) (/ 0 (exp (/ -1 im)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ -1 im))) (+ (* (/ 0.5 (exp (/ -1 im))) (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ -1 im))) (+ (* (/ 0.5 (exp (/ -1 im))) (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ -1 im))) (+ (* (/ 0.5 (exp (/ -1 im))) (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ -1 im))) (+ (* (/ 0.5 (exp (/ -1 im))) (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ -1 im))) (+ (* (/ 0.5 (exp (/ -1 im))) (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 0.5 (exp (/ -1 (/ 1 (- im))))) into (/ 0.5 (exp im)) * * * * [misc]progress: [ 2 / 2 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (* (sin re) (+ (/ 0.5 (exp im)) (* 0.5 (exp im)))) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (* (sin re) (+ (/ 0.5 (exp im)) (* 0.5 (exp im)))) in im * [misc]taylor: Taking taylor expansion of (sin re) in im * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]backup-simplify: Simplify (sin re) into (sin re) * [misc]backup-simplify: Simplify (cos re) into (cos re) * [misc]taylor: Taking taylor expansion of (+ (/ 0.5 (exp im)) (* 0.5 (exp im))) in im * [misc]taylor: Taking taylor expansion of (/ 0.5 (exp im)) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (exp im) in im * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (/ 0.5 1) into 0.5 * [misc]taylor: Taking taylor expansion of (* 0.5 (exp im)) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (exp im) in im * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (* (sin re) (+ (/ 0.5 (exp im)) (* 0.5 (exp im)))) in re * [misc]taylor: Taking taylor expansion of (sin re) in re * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 0.5 (exp im)) (* 0.5 (exp im))) in re * [misc]taylor: Taking taylor expansion of (/ 0.5 (exp im)) in re * [misc]taylor: Taking taylor expansion of 0.5 in re * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (exp im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (exp im) into (exp im) * [misc]backup-simplify: Simplify (/ 0.5 (exp im)) into (/ 0.5 (exp im)) * [misc]taylor: Taking taylor expansion of (* 0.5 (exp im)) in re * [misc]taylor: Taking taylor expansion of 0.5 in re * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (exp im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (exp im) into (exp im) * [misc]taylor: Taking taylor expansion of (* (sin re) (+ (/ 0.5 (exp im)) (* 0.5 (exp im)))) in re * [misc]taylor: Taking taylor expansion of (sin re) in re * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 0.5 (exp im)) (* 0.5 (exp im))) in re * [misc]taylor: Taking taylor expansion of (/ 0.5 (exp im)) in re * [misc]taylor: Taking taylor expansion of 0.5 in re * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (exp im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (exp im) into (exp im) * [misc]backup-simplify: Simplify (/ 0.5 (exp im)) into (/ 0.5 (exp im)) * [misc]taylor: Taking taylor expansion of (* 0.5 (exp im)) in re * [misc]taylor: Taking taylor expansion of 0.5 in re * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (exp im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (exp im) into (exp im) * [misc]backup-simplify: Simplify (* 0.5 (exp im)) into (* 0.5 (exp im)) * [misc]backup-simplify: Simplify (+ (/ 0.5 (exp im)) (* 0.5 (exp im))) into (+ (* 0.5 (exp im)) (* 0.5 (/ 1 (exp im)))) * [misc]backup-simplify: Simplify (* 0 (+ (* 0.5 (exp im)) (* 0.5 (/ 1 (exp im))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp im) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp im)) (+ (* (/ 0.5 (exp im)) (/ 0 (exp im))))) into 0 * [misc]backup-simplify: Simplify (* (exp im) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (* 0 (exp im))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (+ (* 0.5 (exp im)) (* 0.5 (/ 1 (exp im)))))) into (+ (* 0.5 (exp im)) (* 0.5 (/ 1 (exp im)))) * [misc]taylor: Taking taylor expansion of (+ (* 0.5 (exp im)) (* 0.5 (/ 1 (exp im)))) in im * [misc]taylor: Taking taylor expansion of (* 0.5 (exp im)) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (exp im) in im * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (* 0.5 (/ 1 (exp im))) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (/ 1 (exp im)) in im * [misc]taylor: Taking taylor expansion of (exp im) in im * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 0.5 1) into 0.5 * [misc]backup-simplify: Simplify (* 0.5 1) into 0.5 * [misc]backup-simplify: Simplify (+ 0.5 0.5) into 1.0 * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp im) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp im)) (+ (* (/ 0.5 (exp im)) (/ 0 (exp im))) (* 0 (/ 0 (exp im))))) into 0 * [misc]backup-simplify: Simplify (* (exp im) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (exp im)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (+ (* 0.5 (exp im)) (* 0.5 (/ 1 (exp im))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (+ (* 0.5 1) (* 0 1)) into 0.5 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 1 1)))) into -1 * [misc]backup-simplify: Simplify (+ (* 0.5 -1) (* 0 1)) into (- 0.5) * [misc]backup-simplify: Simplify (+ 0.5 (- 0.5)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp im) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp im)) (+ (* (/ 0.5 (exp im)) (/ 0 (exp im))) (* 0 (/ 0 (exp im))) (* 0 (/ 0 (exp im))))) into 0 * [misc]backup-simplify: Simplify (* (exp im) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp im))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* (- 1/6) (+ (* 0.5 (exp im)) (* 0.5 (/ 1 (exp im)))))))) into (- (+ (* 0.08333333333333333 (exp im)) (* 0.08333333333333333 (/ 1 (exp im))))) * [misc]taylor: Taking taylor expansion of (- (+ (* 0.08333333333333333 (exp im)) (* 0.08333333333333333 (/ 1 (exp im))))) in im * [misc]taylor: Taking taylor expansion of (+ (* 0.08333333333333333 (exp im)) (* 0.08333333333333333 (/ 1 (exp im)))) in im * [misc]taylor: Taking taylor expansion of (* 0.08333333333333333 (exp im)) in im * [misc]taylor: Taking taylor expansion of 0.08333333333333333 in im * [misc]backup-simplify: Simplify 0.08333333333333333 into 0.08333333333333333 * [misc]taylor: Taking taylor expansion of (exp im) in im * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (* 0.08333333333333333 (/ 1 (exp im))) in im * [misc]taylor: Taking taylor expansion of 0.08333333333333333 in im * [misc]backup-simplify: Simplify 0.08333333333333333 into 0.08333333333333333 * [misc]taylor: Taking taylor expansion of (/ 1 (exp im)) in im * [misc]taylor: Taking taylor expansion of (exp im) in im * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 0.08333333333333333 1) into 0.08333333333333333 * [misc]backup-simplify: Simplify (* 0.08333333333333333 1) into 0.08333333333333333 * [misc]backup-simplify: Simplify (+ 0.08333333333333333 0.08333333333333333) into 0.16666666666666666 * [misc]backup-simplify: Simplify (- 0.16666666666666666) into (- 0.16666666666666666) * [misc]backup-simplify: Simplify (- 0.16666666666666666) into (- 0.16666666666666666) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (+ (* 0.5 1/2) (+ (* 0 1) (* 0 1))) into 0.25 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 1/2 1)) (* -1 (/ 1 1)))) into 1/2 * [misc]backup-simplify: Simplify (+ (* 0.5 1/2) (+ (* 0 -1) (* 0 1))) into 0.25 * [misc]backup-simplify: Simplify (+ 0.25 0.25) into 0.5 * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]backup-simplify: Simplify (+ (* 0.5 (* (pow im 2) re)) (+ (* (- 0.16666666666666666) (pow (* 1 re) 3)) (* 1.0 (* 1 re)))) into (- (+ (* 1.0 re) (* 0.5 (* re (pow im 2)))) (* 0.16666666666666666 (pow re 3))) * [misc]approximate: Taking taylor expansion of (* (sin (/ 1 re)) (+ (/ 0.5 (exp (/ 1 im))) (* 0.5 (exp (/ 1 im))))) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 re)) (+ (/ 0.5 (exp (/ 1 im))) (* 0.5 (exp (/ 1 im))))) in im * [misc]taylor: Taking taylor expansion of (sin (/ 1 re)) in im * [misc]taylor: Taking taylor expansion of (/ 1 re) in im * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]backup-simplify: Simplify (/ 1 re) into (/ 1 re) * [misc]backup-simplify: Simplify (sin (/ 1 re)) into (sin (/ 1 re)) * [misc]backup-simplify: Simplify (cos (/ 1 re)) into (cos (/ 1 re)) * [misc]taylor: Taking taylor expansion of (+ (/ 0.5 (exp (/ 1 im))) (* 0.5 (exp (/ 1 im)))) in im * [misc]taylor: Taking taylor expansion of (/ 0.5 (exp (/ 1 im))) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (exp (/ 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 (/ 0.5 (exp (/ 1 im))) into (/ 0.5 (exp (/ 1 im))) * [misc]taylor: Taking taylor expansion of (* 0.5 (exp (/ 1 im))) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (exp (/ 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 (* (sin (/ 1 re)) (+ (/ 0.5 (exp (/ 1 im))) (* 0.5 (exp (/ 1 im))))) in re * [misc]taylor: Taking taylor expansion of (sin (/ 1 re)) in re * [misc]taylor: Taking taylor expansion of (/ 1 re) in re * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 re)) into (sin (/ 1 re)) * [misc]taylor: Taking taylor expansion of (+ (/ 0.5 (exp (/ 1 im))) (* 0.5 (exp (/ 1 im)))) in re * [misc]taylor: Taking taylor expansion of (/ 0.5 (exp (/ 1 im))) in re * [misc]taylor: Taking taylor expansion of 0.5 in re * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (exp (/ 1 im)) in re * [misc]taylor: Taking taylor expansion of (/ 1 im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (/ 1 im) into (/ 1 im) * [misc]backup-simplify: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) * [misc]backup-simplify: Simplify (/ 0.5 (exp (/ 1 im))) into (/ 0.5 (exp (/ 1 im))) * [misc]taylor: Taking taylor expansion of (* 0.5 (exp (/ 1 im))) in re * [misc]taylor: Taking taylor expansion of 0.5 in re * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (exp (/ 1 im)) in re * [misc]taylor: Taking taylor expansion of (/ 1 im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (/ 1 im) into (/ 1 im) * [misc]backup-simplify: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 re)) (+ (/ 0.5 (exp (/ 1 im))) (* 0.5 (exp (/ 1 im))))) in re * [misc]taylor: Taking taylor expansion of (sin (/ 1 re)) in re * [misc]taylor: Taking taylor expansion of (/ 1 re) in re * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 re)) into (sin (/ 1 re)) * [misc]taylor: Taking taylor expansion of (+ (/ 0.5 (exp (/ 1 im))) (* 0.5 (exp (/ 1 im)))) in re * [misc]taylor: Taking taylor expansion of (/ 0.5 (exp (/ 1 im))) in re * [misc]taylor: Taking taylor expansion of 0.5 in re * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (exp (/ 1 im)) in re * [misc]taylor: Taking taylor expansion of (/ 1 im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (/ 1 im) into (/ 1 im) * [misc]backup-simplify: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) * [misc]backup-simplify: Simplify (/ 0.5 (exp (/ 1 im))) into (/ 0.5 (exp (/ 1 im))) * [misc]taylor: Taking taylor expansion of (* 0.5 (exp (/ 1 im))) in re * [misc]taylor: Taking taylor expansion of 0.5 in re * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (exp (/ 1 im)) in re * [misc]taylor: Taking taylor expansion of (/ 1 im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (/ 1 im) into (/ 1 im) * [misc]backup-simplify: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) * [misc]backup-simplify: Simplify (* 0.5 (exp (/ 1 im))) into (* 0.5 (exp (/ 1 im))) * [misc]backup-simplify: Simplify (+ (/ 0.5 (exp (/ 1 im))) (* 0.5 (exp (/ 1 im)))) into (+ (* 0.5 (/ 1 (exp (/ 1 im)))) (* 0.5 (exp (/ 1 im)))) * [misc]backup-simplify: Simplify (* (sin (/ 1 re)) (+ (* 0.5 (/ 1 (exp (/ 1 im)))) (* 0.5 (exp (/ 1 im))))) into (* (sin (/ 1 re)) (+ (* 0.5 (/ 1 (exp (/ 1 im)))) (* 0.5 (exp (/ 1 im))))) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 re)) (+ (* 0.5 (/ 1 (exp (/ 1 im)))) (* 0.5 (exp (/ 1 im))))) in im * [misc]taylor: Taking taylor expansion of (sin (/ 1 re)) in im * [misc]taylor: Taking taylor expansion of (/ 1 re) in im * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]backup-simplify: Simplify (/ 1 re) into (/ 1 re) * [misc]backup-simplify: Simplify (sin (/ 1 re)) into (sin (/ 1 re)) * [misc]backup-simplify: Simplify (cos (/ 1 re)) into (cos (/ 1 re)) * [misc]taylor: Taking taylor expansion of (+ (* 0.5 (/ 1 (exp (/ 1 im)))) (* 0.5 (exp (/ 1 im)))) in im * [misc]taylor: Taking taylor expansion of (* 0.5 (/ 1 (exp (/ 1 im)))) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (/ 1 (exp (/ 1 im))) in im * [misc]taylor: Taking taylor expansion of (exp (/ 1 im)) in im * [misc]taylor: Taking taylor expansion of (/ 1 im) in im * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) * [misc]backup-simplify: Simplify (/ 1 (exp (/ 1 im))) into (/ 1 (exp (/ 1 im))) * [misc]taylor: Taking taylor expansion of (* 0.5 (exp (/ 1 im))) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (exp (/ 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 (* (sin (/ 1 re)) 1) into (sin (/ 1 re)) * [misc]backup-simplify: Simplify (* (cos (/ 1 re)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1 re)) 0) into (sin (/ 1 re)) * [misc]backup-simplify: Simplify (* 0.5 (/ 1 (exp (/ 1 im)))) into (/ 0.5 (exp (/ 1 im))) * [misc]backup-simplify: Simplify (* 0.5 (exp (/ 1 im))) into (* 0.5 (exp (/ 1 im))) * [misc]backup-simplify: Simplify (+ (/ 0.5 (exp (/ 1 im))) (* 0.5 (exp (/ 1 im)))) into (+ (* 0.5 (/ 1 (exp (/ 1 im)))) (* 0.5 (exp (/ 1 im)))) * [misc]backup-simplify: Simplify (* (sin (/ 1 re)) (+ (* 0.5 (/ 1 (exp (/ 1 im)))) (* 0.5 (exp (/ 1 im))))) into (* (sin (/ 1 re)) (+ (* 0.5 (/ 1 (exp (/ 1 im)))) (* 0.5 (exp (/ 1 im))))) * [misc]backup-simplify: Simplify (* (sin (/ 1 re)) (+ (* 0.5 (/ 1 (exp (/ 1 im)))) (* 0.5 (exp (/ 1 im))))) into (* (sin (/ 1 re)) (+ (* 0.5 (/ 1 (exp (/ 1 im)))) (* 0.5 (exp (/ 1 im))))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ 1 im))) (+ (* (/ 0.5 (exp (/ 1 im))) (/ 0 (exp (/ 1 im)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (* 0 (exp (/ 1 im)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 re)) 0) (* 0 (+ (* 0.5 (/ 1 (exp (/ 1 im)))) (* 0.5 (exp (/ 1 im)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (/ 1 im))) (/ 0 (exp (/ 1 im)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (* 0 (/ 1 (exp (/ 1 im))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (* 0 (exp (/ 1 im)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 re)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 re)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 re)) 0) (* 0 (+ (* 0.5 (/ 1 (exp (/ 1 im)))) (* 0.5 (exp (/ 1 im)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ 1 im))) (+ (* (/ 0.5 (exp (/ 1 im))) (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (exp (/ 1 im))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 re)) 0) (+ (* 0 0) (* 0 (+ (* 0.5 (/ 1 (exp (/ 1 im)))) (* 0.5 (exp (/ 1 im))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (/ 1 im))) (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 (exp (/ 1 im)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (exp (/ 1 im))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 re)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 re)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 re)) 0) (+ (* 0 0) (* 0 (+ (* 0.5 (/ 1 (exp (/ 1 im)))) (* 0.5 (exp (/ 1 im))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)) (* 0 (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ 1 im))) (+ (* (/ 0.5 (exp (/ 1 im))) (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)) (* 0 (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ 1 im)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 re)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (* 0.5 (/ 1 (exp (/ 1 im)))) (* 0.5 (exp (/ 1 im)))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (sin (/ 1 (/ 1 re))) (+ (* 0.5 (/ 1 (exp (/ 1 (/ 1 im))))) (* 0.5 (exp (/ 1 (/ 1 im)))))) into (* (sin re) (+ (* 0.5 (exp im)) (* 0.5 (/ 1 (exp im))))) * [misc]approximate: Taking taylor expansion of (* (sin (/ 1 (- re))) (+ (/ 0.5 (exp (/ 1 (- im)))) (* 0.5 (exp (/ 1 (- im)))))) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- re))) (+ (/ 0.5 (exp (/ 1 (- im)))) (* 0.5 (exp (/ 1 (- im)))))) in im * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- re))) in im * [misc]taylor: Taking taylor expansion of (/ 1 (- re)) in im * [misc]taylor: Taking taylor expansion of (- re) in im * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]backup-simplify: Simplify (- re) into (- re) * [misc]backup-simplify: Simplify (- re) into (- re) * [misc]backup-simplify: Simplify (/ 1 (- re)) into (/ -1 re) * [misc]backup-simplify: Simplify (sin (/ -1 re)) into (sin (/ -1 re)) * [misc]backup-simplify: Simplify (cos (/ -1 re)) into (cos (/ -1 re)) * [misc]taylor: Taking taylor expansion of (+ (/ 0.5 (exp (/ 1 (- im)))) (* 0.5 (exp (/ 1 (- im))))) in im * [misc]taylor: Taking taylor expansion of (/ 0.5 (exp (/ 1 (- im)))) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (exp (/ 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 (/ 0.5 (exp (/ -1 im))) into (/ 0.5 (exp (/ -1 im))) * [misc]taylor: Taking taylor expansion of (* 0.5 (exp (/ 1 (- im)))) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (exp (/ 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 (* (sin (/ 1 (- re))) (+ (/ 0.5 (exp (/ 1 (- im)))) (* 0.5 (exp (/ 1 (- im)))))) in re * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- re))) in re * [misc]taylor: Taking taylor expansion of (/ 1 (- re)) in re * [misc]taylor: Taking taylor expansion of (- re) in re * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- re))) into (sin (/ -1 re)) * [misc]taylor: Taking taylor expansion of (+ (/ 0.5 (exp (/ 1 (- im)))) (* 0.5 (exp (/ 1 (- im))))) in re * [misc]taylor: Taking taylor expansion of (/ 0.5 (exp (/ 1 (- im)))) in re * [misc]taylor: Taking taylor expansion of 0.5 in re * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- im))) in re * [misc]taylor: Taking taylor expansion of (/ 1 (- im)) in re * [misc]taylor: Taking taylor expansion of (- im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (/ 1 (- im)) into (/ -1 im) * [misc]backup-simplify: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) * [misc]backup-simplify: Simplify (/ 0.5 (exp (/ -1 im))) into (/ 0.5 (exp (/ -1 im))) * [misc]taylor: Taking taylor expansion of (* 0.5 (exp (/ 1 (- im)))) in re * [misc]taylor: Taking taylor expansion of 0.5 in re * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- im))) in re * [misc]taylor: Taking taylor expansion of (/ 1 (- im)) in re * [misc]taylor: Taking taylor expansion of (- im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (/ 1 (- im)) into (/ -1 im) * [misc]backup-simplify: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- re))) (+ (/ 0.5 (exp (/ 1 (- im)))) (* 0.5 (exp (/ 1 (- im)))))) in re * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- re))) in re * [misc]taylor: Taking taylor expansion of (/ 1 (- re)) in re * [misc]taylor: Taking taylor expansion of (- re) in re * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- re))) into (sin (/ -1 re)) * [misc]taylor: Taking taylor expansion of (+ (/ 0.5 (exp (/ 1 (- im)))) (* 0.5 (exp (/ 1 (- im))))) in re * [misc]taylor: Taking taylor expansion of (/ 0.5 (exp (/ 1 (- im)))) in re * [misc]taylor: Taking taylor expansion of 0.5 in re * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- im))) in re * [misc]taylor: Taking taylor expansion of (/ 1 (- im)) in re * [misc]taylor: Taking taylor expansion of (- im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (/ 1 (- im)) into (/ -1 im) * [misc]backup-simplify: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) * [misc]backup-simplify: Simplify (/ 0.5 (exp (/ -1 im))) into (/ 0.5 (exp (/ -1 im))) * [misc]taylor: Taking taylor expansion of (* 0.5 (exp (/ 1 (- im)))) in re * [misc]taylor: Taking taylor expansion of 0.5 in re * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- im))) in re * [misc]taylor: Taking taylor expansion of (/ 1 (- im)) in re * [misc]taylor: Taking taylor expansion of (- im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (/ 1 (- im)) into (/ -1 im) * [misc]backup-simplify: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) * [misc]backup-simplify: Simplify (* 0.5 (exp (/ -1 im))) into (* 0.5 (exp (/ -1 im))) * [misc]backup-simplify: Simplify (+ (/ 0.5 (exp (/ -1 im))) (* 0.5 (exp (/ -1 im)))) into (+ (* 0.5 (/ 1 (exp (/ -1 im)))) (* 0.5 (exp (/ -1 im)))) * [misc]backup-simplify: Simplify (* (sin (/ -1 re)) (+ (* 0.5 (/ 1 (exp (/ -1 im)))) (* 0.5 (exp (/ -1 im))))) into (* (+ (* 0.5 (/ 1 (exp (/ -1 im)))) (* 0.5 (exp (/ -1 im)))) (sin (/ -1 re))) * [misc]taylor: Taking taylor expansion of (* (+ (* 0.5 (/ 1 (exp (/ -1 im)))) (* 0.5 (exp (/ -1 im)))) (sin (/ -1 re))) in im * [misc]taylor: Taking taylor expansion of (+ (* 0.5 (/ 1 (exp (/ -1 im)))) (* 0.5 (exp (/ -1 im)))) in im * [misc]taylor: Taking taylor expansion of (* 0.5 (/ 1 (exp (/ -1 im)))) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (/ 1 (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 in im * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) * [misc]backup-simplify: Simplify (/ 1 (exp (/ -1 im))) into (/ 1 (exp (/ -1 im))) * [misc]taylor: Taking taylor expansion of (* 0.5 (exp (/ -1 im))) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (exp (/ -1 im)) in im * [misc]taylor: Taking taylor expansion of (/ -1 im) in im * [misc]taylor: Taking taylor expansion of -1 in im * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) * [misc]taylor: Taking taylor expansion of (sin (/ -1 re)) in im * [misc]taylor: Taking taylor expansion of (/ -1 re) in im * [misc]taylor: Taking taylor expansion of -1 in im * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]backup-simplify: Simplify (/ -1 re) into (/ -1 re) * [misc]backup-simplify: Simplify (sin (/ -1 re)) into (sin (/ -1 re)) * [misc]backup-simplify: Simplify (cos (/ -1 re)) into (cos (/ -1 re)) * [misc]backup-simplify: Simplify (* 0.5 (/ 1 (exp (/ -1 im)))) into (/ 0.5 (exp (/ -1 im))) * [misc]backup-simplify: Simplify (* 0.5 (exp (/ -1 im))) into (* 0.5 (exp (/ -1 im))) * [misc]backup-simplify: Simplify (+ (/ 0.5 (exp (/ -1 im))) (* 0.5 (exp (/ -1 im)))) into (+ (* 0.5 (/ 1 (exp (/ -1 im)))) (* 0.5 (exp (/ -1 im)))) * [misc]backup-simplify: Simplify (* (sin (/ -1 re)) 1) into (sin (/ -1 re)) * [misc]backup-simplify: Simplify (* (cos (/ -1 re)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1 re)) 0) into (sin (/ -1 re)) * [misc]backup-simplify: Simplify (* (+ (* 0.5 (/ 1 (exp (/ -1 im)))) (* 0.5 (exp (/ -1 im)))) (sin (/ -1 re))) into (* (+ (* 0.5 (/ 1 (exp (/ -1 im)))) (* 0.5 (exp (/ -1 im)))) (sin (/ -1 re))) * [misc]backup-simplify: Simplify (* (+ (* 0.5 (/ 1 (exp (/ -1 im)))) (* 0.5 (exp (/ -1 im)))) (sin (/ -1 re))) into (* (+ (* 0.5 (/ 1 (exp (/ -1 im)))) (* 0.5 (exp (/ -1 im)))) (sin (/ -1 re))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ -1 im))) (+ (* (/ 0.5 (exp (/ -1 im))) (/ 0 (exp (/ -1 im)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (* 0 (exp (/ -1 im)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 re)) 0) (* 0 (+ (* 0.5 (/ 1 (exp (/ -1 im)))) (* 0.5 (exp (/ -1 im)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 re)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 re) (+ (* (/ -1 re) (/ 0 re)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 re)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (/ -1 im))) (/ 0 (exp (/ -1 im)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (* 0 (/ 1 (exp (/ -1 im))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (* 0 (exp (/ -1 im)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ (* 0.5 (/ 1 (exp (/ -1 im)))) (* 0.5 (exp (/ -1 im)))) 0) (* 0 (sin (/ -1 re)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 im) (/ 0 (- im))) (* 0 (/ 0 (- im))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ -1 im))) (+ (* (/ 0.5 (exp (/ -1 im))) (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 im) (/ 0 (- im))) (* 0 (/ 0 (- im))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (exp (/ -1 im))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 re)) 0) (+ (* 0 0) (* 0 (+ (* 0.5 (/ 1 (exp (/ -1 im)))) (* 0.5 (exp (/ -1 im))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 re)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 re) (+ (* (/ -1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 re)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (/ -1 im))) (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 (exp (/ -1 im)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (exp (/ -1 im))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ (* 0.5 (/ 1 (exp (/ -1 im)))) (* 0.5 (exp (/ -1 im)))) 0) (+ (* 0 0) (* 0 (sin (/ -1 re))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 im) (/ 0 (- im))) (* 0 (/ 0 (- im))) (* 0 (/ 0 (- im))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ -1 im))) (+ (* (/ 0.5 (exp (/ -1 im))) (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 im) (/ 0 (- im))) (* 0 (/ 0 (- im))) (* 0 (/ 0 (- im))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ -1 im)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 re)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (* 0.5 (/ 1 (exp (/ -1 im)))) (* 0.5 (exp (/ -1 im)))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (+ (* 0.5 (/ 1 (exp (/ -1 (/ 1 (- im)))))) (* 0.5 (exp (/ -1 (/ 1 (- im)))))) (sin (/ -1 (/ 1 (- re))))) into (* (sin re) (+ (* 0.5 (exp im)) (* 0.5 (/ 1 (exp im))))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 41 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 41 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 41 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 41 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 41 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 41 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 41 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 41 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 41 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 41 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 41 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (exp im)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (cbrt (exp im)) * [misc]simplify: Simplified (2 2 1 2) to (λ (re im) (* (sin re) (+ (/ (/ 0.5 (* (cbrt (exp im)) (cbrt (exp im)))) (cbrt (exp im))) (* 0.5 (exp im))))) * * * * [misc]progress: [ 12 / 41 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (exp im)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (exp im)) * [misc]simplify: Simplified (2 2 1 2) to (λ (re im) (* (sin re) (+ (/ (/ 0.5 (sqrt (exp im))) (sqrt (exp im))) (* 0.5 (exp im))))) * * * * [misc]progress: [ 13 / 41 ] simplifiying candidate # * [enter]simplify: Simplifying (exp im) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (exp im) * [misc]simplify: Simplified (2 2 1 2) to (λ (re im) (* (sin re) (+ (/ (/ 0.5 1) (exp im)) (* 0.5 (exp im))))) * * * * [misc]progress: [ 14 / 41 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin re) (+ (/ 0.5 (exp im)) (* 0.5 (exp im)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * [exit]simplify: Simplified to (* (sin re) (+ (/ 0.5 (exp im)) (* (exp im) 0.5))) * [misc]simplify: Simplified (2 1) to (λ (re im) (pow (* (sin re) (+ (/ 0.5 (exp im)) (* (exp im) 0.5))) 1)) * * * * [misc]progress: [ 15 / 41 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 41 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (sin re)) (log (+ (/ 0.5 (exp im)) (* 0.5 (exp im))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (+ (log (+ (* 0.5 (exp im)) (/ 0.5 (exp im)))) (log (sin re))) * [misc]simplify: Simplified (2 1) to (λ (re im) (exp (+ (log (+ (* 0.5 (exp im)) (/ 0.5 (exp im)))) (log (sin re))))) * * * * [misc]progress: [ 17 / 41 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 41 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 41 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (sin re) (sin re)) (sin re)) (* (* (+ (/ 0.5 (exp im)) (* 0.5 (exp im))) (+ (/ 0.5 (exp im)) (* 0.5 (exp im)))) (+ (/ 0.5 (exp im)) (* 0.5 (exp im))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (175 enodes) * [exit]simplify: Simplified to (* (* (pow (sin re) 3) (+ (/ 0.5 (exp im)) (* (exp im) 0.5))) (* (+ (/ 0.5 (exp im)) (* (exp im) 0.5)) (+ (/ 0.5 (exp im)) (* (exp im) 0.5)))) * [misc]simplify: Simplified (2 1) to (λ (re im) (cbrt (* (* (pow (sin re) 3) (+ (/ 0.5 (exp im)) (* (exp im) 0.5))) (* (+ (/ 0.5 (exp im)) (* (exp im) 0.5)) (+ (/ 0.5 (exp im)) (* (exp im) 0.5)))))) * * * * [misc]progress: [ 20 / 41 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 41 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 41 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 41 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 41 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin re) (* 0.5 (exp im))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * [exit]simplify: Simplified to (* (* (sin re) (exp im)) 0.5) * [misc]simplify: Simplified (2 2) to (λ (re im) (+ (* (sin re) (/ 0.5 (exp im))) (* (* (sin re) (exp im)) 0.5))) * * * * [misc]progress: [ 25 / 41 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* 0.5 (exp im)) (sin re)) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * [exit]simplify: Simplified to (* (* 0.5 (exp im)) (sin re)) * [misc]simplify: Simplified (2 2) to (λ (re im) (+ (* (/ 0.5 (exp im)) (sin re)) (* (* 0.5 (exp im)) (sin re)))) * * * * [misc]progress: [ 26 / 41 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (/ 0.5 (exp im)) (* 0.5 (exp im)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (cbrt (+ (/ 0.5 (exp im)) (* 0.5 (exp im)))) * [misc]simplify: Simplified (2 2) to (λ (re im) (* (* (sin re) (* (cbrt (+ (/ 0.5 (exp im)) (* 0.5 (exp im)))) (cbrt (+ (/ 0.5 (exp im)) (* 0.5 (exp im)))))) (cbrt (+ (/ 0.5 (exp im)) (* 0.5 (exp im)))))) * * * * [misc]progress: [ 27 / 41 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (/ 0.5 (exp im)) (* 0.5 (exp im)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (sqrt (+ (/ 0.5 (exp im)) (* 0.5 (exp im)))) * [misc]simplify: Simplified (2 2) to (λ (re im) (* (* (sin re) (sqrt (+ (/ 0.5 (exp im)) (* 0.5 (exp im))))) (sqrt (+ (/ 0.5 (exp im)) (* 0.5 (exp im)))))) * * * * [misc]progress: [ 28 / 41 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (/ 0.5 (exp im)) (* 0.5 (exp im))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (+ (/ 0.5 (exp im)) (* 0.5 (exp im))) * [misc]simplify: Simplified (2 2) to (λ (re im) (* (* (sin re) 1) (+ (/ 0.5 (exp im)) (* 0.5 (exp im))))) * * * * [misc]progress: [ 29 / 41 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (/ 1 (exp im)) (exp im)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (+ (exp (- im)) (exp im)) * [misc]simplify: Simplified (2 2) to (λ (re im) (* (* (sin re) 0.5) (+ (exp (- im)) (exp im)))) * * * * [misc]progress: [ 30 / 41 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sin re)) (cbrt (sin re))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (* (cbrt (sin re)) (cbrt (sin re))) * [misc]simplify: Simplified (2 1) to (λ (re im) (* (* (cbrt (sin re)) (cbrt (sin re))) (* (cbrt (sin re)) (+ (/ 0.5 (exp im)) (* 0.5 (exp im)))))) * * * * [misc]progress: [ 31 / 41 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sin re)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (sin re)) * [misc]simplify: Simplified (2 1) to (λ (re im) (* (sqrt (sin re)) (* (sqrt (sin re)) (+ (/ 0.5 (exp im)) (* 0.5 (exp im)))))) * * * * [misc]progress: [ 32 / 41 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 41 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (/ 0.5 (exp im)) (/ 0.5 (exp im))) (- (* (* 0.5 (exp im)) (* 0.5 (exp im))) (* (/ 0.5 (exp im)) (* 0.5 (exp im))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (160 enodes) * * [misc]simplify: iters left: 2 (222 enodes) * * [misc]simplify: iters left: 1 (354 enodes) * [exit]simplify: Simplified to (+ (* (* 0.5 (exp im)) (- (* 0.5 (exp im)) (/ 0.5 (exp im)))) (* (/ 0.5 (exp im)) (/ 0.5 (exp im)))) * [misc]simplify: Simplified (2 2) to (λ (re im) (/ (* (sin re) (+ (pow (/ 0.5 (exp im)) 3) (pow (* 0.5 (exp im)) 3))) (+ (* (* 0.5 (exp im)) (- (* 0.5 (exp im)) (/ 0.5 (exp im)))) (* (/ 0.5 (exp im)) (/ 0.5 (exp im)))))) * * * * [misc]progress: [ 34 / 41 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 0.5 (exp im)) (* 0.5 (exp im))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (- (/ 0.5 (exp im)) (* 0.5 (exp im))) * [misc]simplify: Simplified (2 2) to (λ (re im) (/ (* (sin re) (- (* (/ 0.5 (exp im)) (/ 0.5 (exp im))) (* (* 0.5 (exp im)) (* 0.5 (exp im))))) (- (/ 0.5 (exp im)) (* 0.5 (exp im))))) * * * * [misc]progress: [ 35 / 41 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 41 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 0.25 (pow im 2)) 0.5) (* 0.5 im)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (93 enodes) * [exit]simplify: Simplified to (+ (- 0.5 (* 0.5 im)) (* (* 0.25 im) im)) * [misc]simplify: Simplified (2 2 1) to (λ (re im) (* (sin re) (+ (+ (- 0.5 (* 0.5 im)) (* (* 0.25 im) im)) (* 0.5 (exp im))))) * * * * [misc]progress: [ 37 / 41 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 0.5 (exp im)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (/ 0.5 (exp im)) * [misc]simplify: Simplified (2 2 1) to (λ (re im) (* (sin re) (+ (/ 0.5 (exp im)) (* 0.5 (exp im))))) * * * * [misc]progress: [ 38 / 41 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 0.5 (exp im)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (/ 0.5 (exp im)) * [misc]simplify: Simplified (2 2 1) to (λ (re im) (* (sin re) (+ (/ 0.5 (exp im)) (* 0.5 (exp im))))) * * * * [misc]progress: [ 39 / 41 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1.0 re) (* 0.5 (* re (pow im 2)))) (* 0.16666666666666666 (pow re 3))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (124 enodes) * * [misc]simplify: iters left: 2 (186 enodes) * * [misc]simplify: iters left: 1 (243 enodes) * [exit]simplify: Simplified to (+ (* (* im im) (* 0.5 re)) (- (* 1.0 re) (* (* 0.16666666666666666 re) (* re re)))) * [misc]simplify: Simplified (2) to (λ (re im) (+ (* (* im im) (* 0.5 re)) (- (* 1.0 re) (* (* 0.16666666666666666 re) (* re re))))) * * * * [misc]progress: [ 40 / 41 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin re) (+ (* 0.5 (exp im)) (* 0.5 (/ 1 (exp im))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (197 enodes) * [exit]simplify: Simplified to (* (sin re) (+ (* (exp im) 0.5) (/ 0.5 (exp im)))) * [misc]simplify: Simplified (2) to (λ (re im) (* (sin re) (+ (* (exp im) 0.5) (/ 0.5 (exp im))))) * * * * [misc]progress: [ 41 / 41 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin re) (+ (* 0.5 (exp im)) (* 0.5 (/ 1 (exp im))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (197 enodes) * [exit]simplify: Simplified to (* (sin re) (+ (* (exp im) 0.5) (/ 0.5 (exp im)))) * [misc]simplify: Simplified (2) to (λ (re im) (* (sin re) (+ (* (exp im) 0.5) (/ 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 / 2 ] rewriting at (2 2 1 1) * * * * [misc]progress: [ 2 / 2 ] rewriting at (2 1 2 1 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 2 ] generating series at (2 2 1 1) * [misc]approximate: Taking taylor expansion of (/ 0.5 (exp im)) in (im) around 0 * [misc]taylor: Taking taylor expansion of (/ 0.5 (exp im)) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (exp im) in im * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (/ 0.5 1) into 0.5 * [misc]taylor: Taking taylor expansion of (/ 0.5 (exp im)) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (exp im) in im * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (/ 0.5 1) into 0.5 * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 0.5 (/ 1 1)))) into (- 0.5) * [misc]backup-simplify: Simplify (- 0.5) into (- 0.5) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 0.5 (/ 1/2 1)) (* (- 0.5) (/ 1 1)))) into 0.25 * [misc]backup-simplify: Simplify 0.25 into 0.25 * [misc]backup-simplify: Simplify (+ (* 0.25 (pow im 2)) (+ (* (- 0.5) im) 0.5)) into (- (+ (* 0.25 (pow im 2)) 0.5) (* 0.5 im)) * [misc]approximate: Taking taylor expansion of (/ 0.5 (exp (/ 1 im))) in (im) around 0 * [misc]taylor: Taking taylor expansion of (/ 0.5 (exp (/ 1 im))) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (exp (/ 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 (/ 0.5 (exp (/ 1 im))) into (/ 0.5 (exp (/ 1 im))) * [misc]taylor: Taking taylor expansion of (/ 0.5 (exp (/ 1 im))) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (exp (/ 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 (/ 0.5 (exp (/ 1 im))) into (/ 0.5 (exp (/ 1 im))) * [misc]backup-simplify: Simplify (/ 0.5 (exp (/ 1 im))) into (/ 0.5 (exp (/ 1 im))) * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ 1 im))) (+ (* (/ 0.5 (exp (/ 1 im))) (/ 0 (exp (/ 1 im)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ 1 im))) (+ (* (/ 0.5 (exp (/ 1 im))) (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ 1 im))) (+ (* (/ 0.5 (exp (/ 1 im))) (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ 1 im))) (+ (* (/ 0.5 (exp (/ 1 im))) (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ 1 im))) (+ (* (/ 0.5 (exp (/ 1 im))) (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ 1 im))) (+ (* (/ 0.5 (exp (/ 1 im))) (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 0.5 (exp (/ 1 (/ 1 im)))) into (/ 0.5 (exp im)) * [misc]approximate: Taking taylor expansion of (/ 0.5 (exp (/ 1 (- im)))) in (im) around 0 * [misc]taylor: Taking taylor expansion of (/ 0.5 (exp (/ 1 (- im)))) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (exp (/ 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 (/ 0.5 (exp (/ -1 im))) into (/ 0.5 (exp (/ -1 im))) * [misc]taylor: Taking taylor expansion of (/ 0.5 (exp (/ 1 (- im)))) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (exp (/ 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 (/ 0.5 (exp (/ -1 im))) into (/ 0.5 (exp (/ -1 im))) * [misc]backup-simplify: Simplify (/ 0.5 (exp (/ -1 im))) into (/ 0.5 (exp (/ -1 im))) * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ -1 im))) (+ (* (/ 0.5 (exp (/ -1 im))) (/ 0 (exp (/ -1 im)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ -1 im))) (+ (* (/ 0.5 (exp (/ -1 im))) (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ -1 im))) (+ (* (/ 0.5 (exp (/ -1 im))) (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ -1 im))) (+ (* (/ 0.5 (exp (/ -1 im))) (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ -1 im))) (+ (* (/ 0.5 (exp (/ -1 im))) (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ -1 im))) (+ (* (/ 0.5 (exp (/ -1 im))) (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 0.5 (exp (/ -1 (/ 1 (- im))))) into (/ 0.5 (exp im)) * * * * [misc]progress: [ 2 / 2 ] generating series at (2 1 2 1 1) * [misc]approximate: Taking taylor expansion of (/ 0.5 (exp im)) in (im) around 0 * [misc]taylor: Taking taylor expansion of (/ 0.5 (exp im)) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (exp im) in im * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (/ 0.5 1) into 0.5 * [misc]taylor: Taking taylor expansion of (/ 0.5 (exp im)) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (exp im) in im * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (/ 0.5 1) into 0.5 * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 0.5 (/ 1 1)))) into (- 0.5) * [misc]backup-simplify: Simplify (- 0.5) into (- 0.5) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 0.5 (/ 1/2 1)) (* (- 0.5) (/ 1 1)))) into 0.25 * [misc]backup-simplify: Simplify 0.25 into 0.25 * [misc]backup-simplify: Simplify (+ (* 0.25 (pow im 2)) (+ (* (- 0.5) im) 0.5)) into (- (+ (* 0.25 (pow im 2)) 0.5) (* 0.5 im)) * [misc]approximate: Taking taylor expansion of (/ 0.5 (exp (/ 1 im))) in (im) around 0 * [misc]taylor: Taking taylor expansion of (/ 0.5 (exp (/ 1 im))) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (exp (/ 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 (/ 0.5 (exp (/ 1 im))) into (/ 0.5 (exp (/ 1 im))) * [misc]taylor: Taking taylor expansion of (/ 0.5 (exp (/ 1 im))) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (exp (/ 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 (/ 0.5 (exp (/ 1 im))) into (/ 0.5 (exp (/ 1 im))) * [misc]backup-simplify: Simplify (/ 0.5 (exp (/ 1 im))) into (/ 0.5 (exp (/ 1 im))) * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ 1 im))) (+ (* (/ 0.5 (exp (/ 1 im))) (/ 0 (exp (/ 1 im)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ 1 im))) (+ (* (/ 0.5 (exp (/ 1 im))) (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ 1 im))) (+ (* (/ 0.5 (exp (/ 1 im))) (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ 1 im))) (+ (* (/ 0.5 (exp (/ 1 im))) (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ 1 im))) (+ (* (/ 0.5 (exp (/ 1 im))) (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ 1 im))) (+ (* (/ 0.5 (exp (/ 1 im))) (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 0.5 (exp (/ 1 (/ 1 im)))) into (/ 0.5 (exp im)) * [misc]approximate: Taking taylor expansion of (/ 0.5 (exp (/ 1 (- im)))) in (im) around 0 * [misc]taylor: Taking taylor expansion of (/ 0.5 (exp (/ 1 (- im)))) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (exp (/ 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 (/ 0.5 (exp (/ -1 im))) into (/ 0.5 (exp (/ -1 im))) * [misc]taylor: Taking taylor expansion of (/ 0.5 (exp (/ 1 (- im)))) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (exp (/ 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 (/ 0.5 (exp (/ -1 im))) into (/ 0.5 (exp (/ -1 im))) * [misc]backup-simplify: Simplify (/ 0.5 (exp (/ -1 im))) into (/ 0.5 (exp (/ -1 im))) * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ -1 im))) (+ (* (/ 0.5 (exp (/ -1 im))) (/ 0 (exp (/ -1 im)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ -1 im))) (+ (* (/ 0.5 (exp (/ -1 im))) (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ -1 im))) (+ (* (/ 0.5 (exp (/ -1 im))) (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ -1 im))) (+ (* (/ 0.5 (exp (/ -1 im))) (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ -1 im))) (+ (* (/ 0.5 (exp (/ -1 im))) (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ -1 im))) (+ (* (/ 0.5 (exp (/ -1 im))) (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 0.5 (exp (/ -1 (/ 1 (- im))))) into (/ 0.5 (exp im)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 32 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 32 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 32 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 32 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 32 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 32 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 32 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 32 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 32 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 32 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (exp im)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (cbrt (exp im)) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (re im) (* (* (sin re) (sqrt (+ (/ 0.5 (exp im)) (* 0.5 (exp im))))) (sqrt (+ (/ (/ 0.5 (* (cbrt (exp im)) (cbrt (exp im)))) (cbrt (exp im))) (* 0.5 (exp im)))))) * * * * [misc]progress: [ 12 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (exp im)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (exp im)) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (re im) (* (* (sin re) (sqrt (+ (/ 0.5 (exp im)) (* 0.5 (exp im))))) (sqrt (+ (/ (/ 0.5 (sqrt (exp im))) (sqrt (exp im))) (* 0.5 (exp im)))))) * * * * [misc]progress: [ 13 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (exp im) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (exp im) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (re im) (* (* (sin re) (sqrt (+ (/ 0.5 (exp im)) (* 0.5 (exp im))))) (sqrt (+ (/ (/ 0.5 1) (exp im)) (* 0.5 (exp im)))))) * * * * [misc]progress: [ 14 / 32 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 32 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 32 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 32 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 32 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 32 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 32 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 32 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 32 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 32 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (exp im)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (cbrt (exp im)) * [misc]simplify: Simplified (2 1 2 1 1 2) to (λ (re im) (* (* (sin re) (sqrt (+ (/ (/ 0.5 (* (cbrt (exp im)) (cbrt (exp im)))) (cbrt (exp im))) (* 0.5 (exp im))))) (sqrt (+ (/ 0.5 (exp im)) (* 0.5 (exp im)))))) * * * * [misc]progress: [ 25 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (exp im)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (exp im)) * [misc]simplify: Simplified (2 1 2 1 1 2) to (λ (re im) (* (* (sin re) (sqrt (+ (/ (/ 0.5 (sqrt (exp im))) (sqrt (exp im))) (* 0.5 (exp im))))) (sqrt (+ (/ 0.5 (exp im)) (* 0.5 (exp im)))))) * * * * [misc]progress: [ 26 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (exp im) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (exp im) * [misc]simplify: Simplified (2 1 2 1 1 2) to (λ (re im) (* (* (sin re) (sqrt (+ (/ (/ 0.5 1) (exp im)) (* 0.5 (exp im))))) (sqrt (+ (/ 0.5 (exp im)) (* 0.5 (exp im)))))) * * * * [misc]progress: [ 27 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 0.25 (pow im 2)) 0.5) (* 0.5 im)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (93 enodes) * [exit]simplify: Simplified to (+ (- 0.5 (* 0.5 im)) (* (* 0.25 im) im)) * [misc]simplify: Simplified (2 2 1 1) to (λ (re im) (* (* (sin re) (sqrt (+ (/ 0.5 (exp im)) (* 0.5 (exp im))))) (sqrt (+ (+ (- 0.5 (* 0.5 im)) (* (* 0.25 im) im)) (* 0.5 (exp im)))))) * * * * [misc]progress: [ 28 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 0.5 (exp im)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (/ 0.5 (exp im)) * [misc]simplify: Simplified (2 2 1 1) to (λ (re im) (* (* (sin re) (sqrt (+ (/ 0.5 (exp im)) (* 0.5 (exp im))))) (sqrt (+ (/ 0.5 (exp im)) (* 0.5 (exp im)))))) * * * * [misc]progress: [ 29 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 0.5 (exp im)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (/ 0.5 (exp im)) * [misc]simplify: Simplified (2 2 1 1) to (λ (re im) (* (* (sin re) (sqrt (+ (/ 0.5 (exp im)) (* 0.5 (exp im))))) (sqrt (+ (/ 0.5 (exp im)) (* 0.5 (exp im)))))) * * * * [misc]progress: [ 30 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 0.25 (pow im 2)) 0.5) (* 0.5 im)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (93 enodes) * [exit]simplify: Simplified to (+ (- 0.5 (* 0.5 im)) (* (* 0.25 im) im)) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (re im) (* (* (sin re) (sqrt (+ (+ (- 0.5 (* 0.5 im)) (* (* 0.25 im) im)) (* 0.5 (exp im))))) (sqrt (+ (/ 0.5 (exp im)) (* 0.5 (exp im)))))) * * * * [misc]progress: [ 31 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 0.5 (exp im)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (/ 0.5 (exp im)) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (re im) (* (* (sin re) (sqrt (+ (/ 0.5 (exp im)) (* 0.5 (exp im))))) (sqrt (+ (/ 0.5 (exp im)) (* 0.5 (exp im)))))) * * * * [misc]progress: [ 32 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 0.5 (exp im)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (/ 0.5 (exp im)) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (re im) (* (* (sin re) (sqrt (+ (/ 0.5 (exp im)) (* 0.5 (exp im))))) (sqrt (+ (/ 0.5 (exp im)) (* 0.5 (exp im)))))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 3 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 1 2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 1 1 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 1) * [misc]approximate: Taking taylor expansion of (* (sqrt (/ 0.5 (exp im))) (sqrt (/ 0.5 (exp im)))) in (im) around 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 0.5 (exp im))) (sqrt (/ 0.5 (exp im)))) in im * [misc]taylor: Taking taylor expansion of (sqrt (/ 0.5 (exp im))) in im * [misc]taylor: Taking taylor expansion of (/ 0.5 (exp im)) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (exp im) in im * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (/ 0.5 1) into 0.5 * [misc]backup-simplify: Simplify (sqrt 0.5) into (sqrt 0.5) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 0.5 (/ 1 1)))) into (- 0.5) * [misc]backup-simplify: Simplify (/ (- 0.5) (* 2 (sqrt 0.5))) into (/ -0.25 (sqrt 0.5)) * [misc]taylor: Taking taylor expansion of (sqrt (/ 0.5 (exp im))) in im * [misc]taylor: Taking taylor expansion of (/ 0.5 (exp im)) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (exp im) in im * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (/ 0.5 1) into 0.5 * [misc]backup-simplify: Simplify (sqrt 0.5) into (sqrt 0.5) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 0.5 (/ 1 1)))) into (- 0.5) * [misc]backup-simplify: Simplify (/ (- 0.5) (* 2 (sqrt 0.5))) into (/ -0.25 (sqrt 0.5)) * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 0.5 (exp im))) (sqrt (/ 0.5 (exp im)))) in im * [misc]taylor: Taking taylor expansion of (sqrt (/ 0.5 (exp im))) in im * [misc]taylor: Taking taylor expansion of (/ 0.5 (exp im)) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (exp im) in im * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (/ 0.5 1) into 0.5 * [misc]backup-simplify: Simplify (sqrt 0.5) into (sqrt 0.5) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 0.5 (/ 1 1)))) into (- 0.5) * [misc]backup-simplify: Simplify (/ (- 0.5) (* 2 (sqrt 0.5))) into (/ -0.25 (sqrt 0.5)) * [misc]taylor: Taking taylor expansion of (sqrt (/ 0.5 (exp im))) in im * [misc]taylor: Taking taylor expansion of (/ 0.5 (exp im)) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (exp im) in im * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (/ 0.5 1) into 0.5 * [misc]backup-simplify: Simplify (sqrt 0.5) into (sqrt 0.5) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 0.5 (/ 1 1)))) into (- 0.5) * [misc]backup-simplify: Simplify (/ (- 0.5) (* 2 (sqrt 0.5))) into (/ -0.25 (sqrt 0.5)) * [misc]backup-simplify: Simplify (* (sqrt 0.5) (sqrt 0.5)) into (pow (sqrt 0.5) 2) * [misc]backup-simplify: Simplify (pow (sqrt 0.5) 2) into (pow (sqrt 0.5) 2) * [misc]backup-simplify: Simplify (+ (* (sqrt 0.5) (/ -0.25 (sqrt 0.5))) (* (/ -0.25 (sqrt 0.5)) (sqrt 0.5))) into (- 0.5) * [misc]backup-simplify: Simplify (- 0.5) into (- 0.5) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 0.5 (/ 1/2 1)) (* (- 0.5) (/ 1 1)))) into 0.25 * [misc]backup-simplify: Simplify (/ (- 0.25 (pow (/ -0.25 (sqrt 0.5)) 2) (+)) (* 2 (sqrt 0.5))) into (* 1/2 (/ (- 0.25 (* 0.0625 (/ 1 (pow (sqrt 0.5) 2)))) (sqrt 0.5))) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 0.5 (/ 1/2 1)) (* (- 0.5) (/ 1 1)))) into 0.25 * [misc]backup-simplify: Simplify (/ (- 0.25 (pow (/ -0.25 (sqrt 0.5)) 2) (+)) (* 2 (sqrt 0.5))) into (* 1/2 (/ (- 0.25 (* 0.0625 (/ 1 (pow (sqrt 0.5) 2)))) (sqrt 0.5))) * [misc]backup-simplify: Simplify (+ (* (sqrt 0.5) (* 1/2 (/ (- 0.25 (* 0.0625 (/ 1 (pow (sqrt 0.5) 2)))) (sqrt 0.5)))) (+ (* (/ -0.25 (sqrt 0.5)) (/ -0.25 (sqrt 0.5))) (* (* 1/2 (/ (- 0.25 (* 0.0625 (/ 1 (pow (sqrt 0.5) 2)))) (sqrt 0.5))) (sqrt 0.5)))) into 0.25 * [misc]backup-simplify: Simplify 0.25 into 0.25 * [misc]backup-simplify: Simplify (+ (* 0.25 (pow im 2)) (+ (* (- 0.5) im) (pow (sqrt 0.5) 2))) into (- (+ (* 0.25 (pow im 2)) (pow (sqrt 0.5) 2)) (* 0.5 im)) * [misc]approximate: Taking taylor expansion of (* (sqrt (/ 0.5 (exp (/ 1 im)))) (sqrt (/ 0.5 (exp (/ 1 im))))) in (im) around 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 0.5 (exp (/ 1 im)))) (sqrt (/ 0.5 (exp (/ 1 im))))) in im * [misc]taylor: Taking taylor expansion of (sqrt (/ 0.5 (exp (/ 1 im)))) in im * [misc]taylor: Taking taylor expansion of (/ 0.5 (exp (/ 1 im))) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (exp (/ 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 (/ 0.5 (exp (/ 1 im))) into (/ 0.5 (exp (/ 1 im))) * [misc]backup-simplify: Simplify (sqrt (/ 0.5 (exp (/ 1 im)))) into (* (sqrt 0.5) (sqrt (/ 1 (exp (/ 1 im))))) * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ 1 im))) (+ (* (/ 0.5 (exp (/ 1 im))) (/ 0 (exp (/ 1 im)))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 0.5 (exp (/ 1 im)))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ 0.5 (exp (/ 1 im)))) in im * [misc]taylor: Taking taylor expansion of (/ 0.5 (exp (/ 1 im))) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (exp (/ 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 (/ 0.5 (exp (/ 1 im))) into (/ 0.5 (exp (/ 1 im))) * [misc]backup-simplify: Simplify (sqrt (/ 0.5 (exp (/ 1 im)))) into (* (sqrt 0.5) (sqrt (/ 1 (exp (/ 1 im))))) * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ 1 im))) (+ (* (/ 0.5 (exp (/ 1 im))) (/ 0 (exp (/ 1 im)))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 0.5 (exp (/ 1 im)))))) into 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 0.5 (exp (/ 1 im)))) (sqrt (/ 0.5 (exp (/ 1 im))))) in im * [misc]taylor: Taking taylor expansion of (sqrt (/ 0.5 (exp (/ 1 im)))) in im * [misc]taylor: Taking taylor expansion of (/ 0.5 (exp (/ 1 im))) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (exp (/ 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 (/ 0.5 (exp (/ 1 im))) into (/ 0.5 (exp (/ 1 im))) * [misc]backup-simplify: Simplify (sqrt (/ 0.5 (exp (/ 1 im)))) into (* (sqrt 0.5) (sqrt (/ 1 (exp (/ 1 im))))) * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ 1 im))) (+ (* (/ 0.5 (exp (/ 1 im))) (/ 0 (exp (/ 1 im)))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 0.5 (exp (/ 1 im)))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ 0.5 (exp (/ 1 im)))) in im * [misc]taylor: Taking taylor expansion of (/ 0.5 (exp (/ 1 im))) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (exp (/ 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 (/ 0.5 (exp (/ 1 im))) into (/ 0.5 (exp (/ 1 im))) * [misc]backup-simplify: Simplify (sqrt (/ 0.5 (exp (/ 1 im)))) into (* (sqrt 0.5) (sqrt (/ 1 (exp (/ 1 im))))) * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ 1 im))) (+ (* (/ 0.5 (exp (/ 1 im))) (/ 0 (exp (/ 1 im)))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 0.5 (exp (/ 1 im)))))) into 0 * [misc]backup-simplify: Simplify (* (* (sqrt 0.5) (sqrt (/ 1 (exp (/ 1 im))))) (* (sqrt 0.5) (sqrt (/ 1 (exp (/ 1 im)))))) into (/ (pow (sqrt 0.5) 2) (exp (/ 1 im))) * [misc]backup-simplify: Simplify (/ (pow (sqrt 0.5) 2) (exp (/ 1 im))) into (/ (pow (sqrt 0.5) 2) (exp (/ 1 im))) * [misc]backup-simplify: Simplify (+ (* (* (sqrt 0.5) (sqrt (/ 1 (exp (/ 1 im))))) 0) (* 0 (* (sqrt 0.5) (sqrt (/ 1 (exp (/ 1 im))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ 1 im))) (+ (* (/ 0.5 (exp (/ 1 im))) (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (* (sqrt 0.5) (sqrt (/ 1 (exp (/ 1 im))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ 1 im))) (+ (* (/ 0.5 (exp (/ 1 im))) (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (* (sqrt 0.5) (sqrt (/ 1 (exp (/ 1 im))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 0.5) (sqrt (/ 1 (exp (/ 1 im))))) 0) (+ (* 0 0) (* 0 (* (sqrt 0.5) (sqrt (/ 1 (exp (/ 1 im)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ 1 im))) (+ (* (/ 0.5 (exp (/ 1 im))) (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (* (sqrt 0.5) (sqrt (/ 1 (exp (/ 1 im))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ 1 im))) (+ (* (/ 0.5 (exp (/ 1 im))) (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (* (sqrt 0.5) (sqrt (/ 1 (exp (/ 1 im))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 0.5) (sqrt (/ 1 (exp (/ 1 im))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sqrt 0.5) (sqrt (/ 1 (exp (/ 1 im))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ 1 im))) (+ (* (/ 0.5 (exp (/ 1 im))) (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (* (sqrt 0.5) (sqrt (/ 1 (exp (/ 1 im))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ 1 im))) (+ (* (/ 0.5 (exp (/ 1 im))) (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (* (sqrt 0.5) (sqrt (/ 1 (exp (/ 1 im))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 0.5) (sqrt (/ 1 (exp (/ 1 im))))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sqrt 0.5) (sqrt (/ 1 (exp (/ 1 im)))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ 1 im))) (+ (* (/ 0.5 (exp (/ 1 im))) (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (* (sqrt 0.5) (sqrt (/ 1 (exp (/ 1 im))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ 1 im))) (+ (* (/ 0.5 (exp (/ 1 im))) (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (* (sqrt 0.5) (sqrt (/ 1 (exp (/ 1 im))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 0.5) (sqrt (/ 1 (exp (/ 1 im))))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sqrt 0.5) (sqrt (/ 1 (exp (/ 1 im))))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ 1 im))) (+ (* (/ 0.5 (exp (/ 1 im))) (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (* (sqrt 0.5) (sqrt (/ 1 (exp (/ 1 im))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ 1 im))) (+ (* (/ 0.5 (exp (/ 1 im))) (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (* (sqrt 0.5) (sqrt (/ 1 (exp (/ 1 im))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 0.5) (sqrt (/ 1 (exp (/ 1 im))))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sqrt 0.5) (sqrt (/ 1 (exp (/ 1 im)))))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (pow (sqrt 0.5) 2) (exp (/ 1 (/ 1 im)))) into (/ (pow (sqrt 0.5) 2) (exp im)) * [misc]approximate: Taking taylor expansion of (* (sqrt (/ 0.5 (exp (/ 1 (- im))))) (sqrt (/ 0.5 (exp (/ 1 (- im)))))) in (im) around 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 0.5 (exp (/ 1 (- im))))) (sqrt (/ 0.5 (exp (/ 1 (- im)))))) in im * [misc]taylor: Taking taylor expansion of (sqrt (/ 0.5 (exp (/ 1 (- im))))) in im * [misc]taylor: Taking taylor expansion of (/ 0.5 (exp (/ 1 (- im)))) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (exp (/ 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 (/ 0.5 (exp (/ -1 im))) into (/ 0.5 (exp (/ -1 im))) * [misc]backup-simplify: Simplify (sqrt (/ 0.5 (exp (/ -1 im)))) into (* (sqrt 0.5) (sqrt (/ 1 (exp (/ -1 im))))) * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ -1 im))) (+ (* (/ 0.5 (exp (/ -1 im))) (/ 0 (exp (/ -1 im)))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 0.5 (exp (/ -1 im)))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ 0.5 (exp (/ 1 (- im))))) in im * [misc]taylor: Taking taylor expansion of (/ 0.5 (exp (/ 1 (- im)))) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (exp (/ 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 (/ 0.5 (exp (/ -1 im))) into (/ 0.5 (exp (/ -1 im))) * [misc]backup-simplify: Simplify (sqrt (/ 0.5 (exp (/ -1 im)))) into (* (sqrt 0.5) (sqrt (/ 1 (exp (/ -1 im))))) * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ -1 im))) (+ (* (/ 0.5 (exp (/ -1 im))) (/ 0 (exp (/ -1 im)))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 0.5 (exp (/ -1 im)))))) into 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 0.5 (exp (/ 1 (- im))))) (sqrt (/ 0.5 (exp (/ 1 (- im)))))) in im * [misc]taylor: Taking taylor expansion of (sqrt (/ 0.5 (exp (/ 1 (- im))))) in im * [misc]taylor: Taking taylor expansion of (/ 0.5 (exp (/ 1 (- im)))) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (exp (/ 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 (/ 0.5 (exp (/ -1 im))) into (/ 0.5 (exp (/ -1 im))) * [misc]backup-simplify: Simplify (sqrt (/ 0.5 (exp (/ -1 im)))) into (* (sqrt 0.5) (sqrt (/ 1 (exp (/ -1 im))))) * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ -1 im))) (+ (* (/ 0.5 (exp (/ -1 im))) (/ 0 (exp (/ -1 im)))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 0.5 (exp (/ -1 im)))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ 0.5 (exp (/ 1 (- im))))) in im * [misc]taylor: Taking taylor expansion of (/ 0.5 (exp (/ 1 (- im)))) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (exp (/ 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 (/ 0.5 (exp (/ -1 im))) into (/ 0.5 (exp (/ -1 im))) * [misc]backup-simplify: Simplify (sqrt (/ 0.5 (exp (/ -1 im)))) into (* (sqrt 0.5) (sqrt (/ 1 (exp (/ -1 im))))) * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ -1 im))) (+ (* (/ 0.5 (exp (/ -1 im))) (/ 0 (exp (/ -1 im)))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 0.5 (exp (/ -1 im)))))) into 0 * [misc]backup-simplify: Simplify (* (* (sqrt 0.5) (sqrt (/ 1 (exp (/ -1 im))))) (* (sqrt 0.5) (sqrt (/ 1 (exp (/ -1 im)))))) into (/ (pow (sqrt 0.5) 2) (exp (/ -1 im))) * [misc]backup-simplify: Simplify (/ (pow (sqrt 0.5) 2) (exp (/ -1 im))) into (/ (pow (sqrt 0.5) 2) (exp (/ -1 im))) * [misc]backup-simplify: Simplify (+ (* (* (sqrt 0.5) (sqrt (/ 1 (exp (/ -1 im))))) 0) (* 0 (* (sqrt 0.5) (sqrt (/ 1 (exp (/ -1 im))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ -1 im))) (+ (* (/ 0.5 (exp (/ -1 im))) (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (* (sqrt 0.5) (sqrt (/ 1 (exp (/ -1 im))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ -1 im))) (+ (* (/ 0.5 (exp (/ -1 im))) (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (* (sqrt 0.5) (sqrt (/ 1 (exp (/ -1 im))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 0.5) (sqrt (/ 1 (exp (/ -1 im))))) 0) (+ (* 0 0) (* 0 (* (sqrt 0.5) (sqrt (/ 1 (exp (/ -1 im)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ -1 im))) (+ (* (/ 0.5 (exp (/ -1 im))) (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (* (sqrt 0.5) (sqrt (/ 1 (exp (/ -1 im))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ -1 im))) (+ (* (/ 0.5 (exp (/ -1 im))) (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (* (sqrt 0.5) (sqrt (/ 1 (exp (/ -1 im))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 0.5) (sqrt (/ 1 (exp (/ -1 im))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sqrt 0.5) (sqrt (/ 1 (exp (/ -1 im))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ -1 im))) (+ (* (/ 0.5 (exp (/ -1 im))) (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (* (sqrt 0.5) (sqrt (/ 1 (exp (/ -1 im))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ -1 im))) (+ (* (/ 0.5 (exp (/ -1 im))) (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (* (sqrt 0.5) (sqrt (/ 1 (exp (/ -1 im))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 0.5) (sqrt (/ 1 (exp (/ -1 im))))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sqrt 0.5) (sqrt (/ 1 (exp (/ -1 im)))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ -1 im))) (+ (* (/ 0.5 (exp (/ -1 im))) (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (* (sqrt 0.5) (sqrt (/ 1 (exp (/ -1 im))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ -1 im))) (+ (* (/ 0.5 (exp (/ -1 im))) (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (* (sqrt 0.5) (sqrt (/ 1 (exp (/ -1 im))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 0.5) (sqrt (/ 1 (exp (/ -1 im))))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sqrt 0.5) (sqrt (/ 1 (exp (/ -1 im))))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ -1 im))) (+ (* (/ 0.5 (exp (/ -1 im))) (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (* (sqrt 0.5) (sqrt (/ 1 (exp (/ -1 im))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ -1 im))) (+ (* (/ 0.5 (exp (/ -1 im))) (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (* (sqrt 0.5) (sqrt (/ 1 (exp (/ -1 im))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 0.5) (sqrt (/ 1 (exp (/ -1 im))))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sqrt 0.5) (sqrt (/ 1 (exp (/ -1 im)))))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (pow (sqrt 0.5) 2) (exp (/ -1 (/ 1 (- im))))) into (/ (pow (sqrt 0.5) 2) (exp im)) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 1 2 1) * [misc]approximate: Taking taylor expansion of (/ 0.5 (exp im)) in (im) around 0 * [misc]taylor: Taking taylor expansion of (/ 0.5 (exp im)) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (exp im) in im * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (/ 0.5 1) into 0.5 * [misc]taylor: Taking taylor expansion of (/ 0.5 (exp im)) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (exp im) in im * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (/ 0.5 1) into 0.5 * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 0.5 (/ 1 1)))) into (- 0.5) * [misc]backup-simplify: Simplify (- 0.5) into (- 0.5) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 0.5 (/ 1/2 1)) (* (- 0.5) (/ 1 1)))) into 0.25 * [misc]backup-simplify: Simplify 0.25 into 0.25 * [misc]backup-simplify: Simplify (+ (* 0.25 (pow im 2)) (+ (* (- 0.5) im) 0.5)) into (- (+ (* 0.25 (pow im 2)) 0.5) (* 0.5 im)) * [misc]approximate: Taking taylor expansion of (/ 0.5 (exp (/ 1 im))) in (im) around 0 * [misc]taylor: Taking taylor expansion of (/ 0.5 (exp (/ 1 im))) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (exp (/ 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 (/ 0.5 (exp (/ 1 im))) into (/ 0.5 (exp (/ 1 im))) * [misc]taylor: Taking taylor expansion of (/ 0.5 (exp (/ 1 im))) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (exp (/ 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 (/ 0.5 (exp (/ 1 im))) into (/ 0.5 (exp (/ 1 im))) * [misc]backup-simplify: Simplify (/ 0.5 (exp (/ 1 im))) into (/ 0.5 (exp (/ 1 im))) * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ 1 im))) (+ (* (/ 0.5 (exp (/ 1 im))) (/ 0 (exp (/ 1 im)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ 1 im))) (+ (* (/ 0.5 (exp (/ 1 im))) (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ 1 im))) (+ (* (/ 0.5 (exp (/ 1 im))) (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ 1 im))) (+ (* (/ 0.5 (exp (/ 1 im))) (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ 1 im))) (+ (* (/ 0.5 (exp (/ 1 im))) (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ 1 im))) (+ (* (/ 0.5 (exp (/ 1 im))) (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 0.5 (exp (/ 1 (/ 1 im)))) into (/ 0.5 (exp im)) * [misc]approximate: Taking taylor expansion of (/ 0.5 (exp (/ 1 (- im)))) in (im) around 0 * [misc]taylor: Taking taylor expansion of (/ 0.5 (exp (/ 1 (- im)))) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (exp (/ 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 (/ 0.5 (exp (/ -1 im))) into (/ 0.5 (exp (/ -1 im))) * [misc]taylor: Taking taylor expansion of (/ 0.5 (exp (/ 1 (- im)))) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (exp (/ 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 (/ 0.5 (exp (/ -1 im))) into (/ 0.5 (exp (/ -1 im))) * [misc]backup-simplify: Simplify (/ 0.5 (exp (/ -1 im))) into (/ 0.5 (exp (/ -1 im))) * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ -1 im))) (+ (* (/ 0.5 (exp (/ -1 im))) (/ 0 (exp (/ -1 im)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ -1 im))) (+ (* (/ 0.5 (exp (/ -1 im))) (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ -1 im))) (+ (* (/ 0.5 (exp (/ -1 im))) (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ -1 im))) (+ (* (/ 0.5 (exp (/ -1 im))) (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ -1 im))) (+ (* (/ 0.5 (exp (/ -1 im))) (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ -1 im))) (+ (* (/ 0.5 (exp (/ -1 im))) (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 0.5 (exp (/ -1 (/ 1 (- im))))) into (/ 0.5 (exp im)) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 1 1 1) * [misc]approximate: Taking taylor expansion of (/ 0.5 (exp im)) in (im) around 0 * [misc]taylor: Taking taylor expansion of (/ 0.5 (exp im)) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (exp im) in im * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (/ 0.5 1) into 0.5 * [misc]taylor: Taking taylor expansion of (/ 0.5 (exp im)) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (exp im) in im * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (/ 0.5 1) into 0.5 * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 0.5 (/ 1 1)))) into (- 0.5) * [misc]backup-simplify: Simplify (- 0.5) into (- 0.5) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 0.5 (/ 1/2 1)) (* (- 0.5) (/ 1 1)))) into 0.25 * [misc]backup-simplify: Simplify 0.25 into 0.25 * [misc]backup-simplify: Simplify (+ (* 0.25 (pow im 2)) (+ (* (- 0.5) im) 0.5)) into (- (+ (* 0.25 (pow im 2)) 0.5) (* 0.5 im)) * [misc]approximate: Taking taylor expansion of (/ 0.5 (exp (/ 1 im))) in (im) around 0 * [misc]taylor: Taking taylor expansion of (/ 0.5 (exp (/ 1 im))) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (exp (/ 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 (/ 0.5 (exp (/ 1 im))) into (/ 0.5 (exp (/ 1 im))) * [misc]taylor: Taking taylor expansion of (/ 0.5 (exp (/ 1 im))) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (exp (/ 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 (/ 0.5 (exp (/ 1 im))) into (/ 0.5 (exp (/ 1 im))) * [misc]backup-simplify: Simplify (/ 0.5 (exp (/ 1 im))) into (/ 0.5 (exp (/ 1 im))) * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ 1 im))) (+ (* (/ 0.5 (exp (/ 1 im))) (/ 0 (exp (/ 1 im)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ 1 im))) (+ (* (/ 0.5 (exp (/ 1 im))) (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ 1 im))) (+ (* (/ 0.5 (exp (/ 1 im))) (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ 1 im))) (+ (* (/ 0.5 (exp (/ 1 im))) (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ 1 im))) (+ (* (/ 0.5 (exp (/ 1 im))) (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ 1 im))) (+ (* (/ 0.5 (exp (/ 1 im))) (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 0.5 (exp (/ 1 (/ 1 im)))) into (/ 0.5 (exp im)) * [misc]approximate: Taking taylor expansion of (/ 0.5 (exp (/ 1 (- im)))) in (im) around 0 * [misc]taylor: Taking taylor expansion of (/ 0.5 (exp (/ 1 (- im)))) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (exp (/ 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 (/ 0.5 (exp (/ -1 im))) into (/ 0.5 (exp (/ -1 im))) * [misc]taylor: Taking taylor expansion of (/ 0.5 (exp (/ 1 (- im)))) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (exp (/ 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 (/ 0.5 (exp (/ -1 im))) into (/ 0.5 (exp (/ -1 im))) * [misc]backup-simplify: Simplify (/ 0.5 (exp (/ -1 im))) into (/ 0.5 (exp (/ -1 im))) * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ -1 im))) (+ (* (/ 0.5 (exp (/ -1 im))) (/ 0 (exp (/ -1 im)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ -1 im))) (+ (* (/ 0.5 (exp (/ -1 im))) (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ -1 im))) (+ (* (/ 0.5 (exp (/ -1 im))) (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ -1 im))) (+ (* (/ 0.5 (exp (/ -1 im))) (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ -1 im))) (+ (* (/ 0.5 (exp (/ -1 im))) (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ -1 im))) (+ (* (/ 0.5 (exp (/ -1 im))) (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 0.5 (exp (/ -1 (/ 1 (- im))))) into (/ 0.5 (exp im)) * * * * [misc]progress: [ 4 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (* (sin re) (+ (* (sqrt (/ 0.5 (exp im))) (sqrt (/ 0.5 (exp im)))) (* 0.5 (exp im)))) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (* (sin re) (+ (* (sqrt (/ 0.5 (exp im))) (sqrt (/ 0.5 (exp im)))) (* 0.5 (exp im)))) in im * [misc]taylor: Taking taylor expansion of (sin re) in im * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]backup-simplify: Simplify (sin re) into (sin re) * [misc]backup-simplify: Simplify (cos re) into (cos re) * [misc]taylor: Taking taylor expansion of (+ (* (sqrt (/ 0.5 (exp im))) (sqrt (/ 0.5 (exp im)))) (* 0.5 (exp im))) in im * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 0.5 (exp im))) (sqrt (/ 0.5 (exp im)))) in im * [misc]taylor: Taking taylor expansion of (sqrt (/ 0.5 (exp im))) in im * [misc]taylor: Taking taylor expansion of (/ 0.5 (exp im)) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (exp im) in im * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (/ 0.5 1) into 0.5 * [misc]backup-simplify: Simplify (sqrt 0.5) into (sqrt 0.5) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 0.5 (/ 1 1)))) into (- 0.5) * [misc]backup-simplify: Simplify (/ (- 0.5) (* 2 (sqrt 0.5))) into (/ -0.25 (sqrt 0.5)) * [misc]taylor: Taking taylor expansion of (sqrt (/ 0.5 (exp im))) in im * [misc]taylor: Taking taylor expansion of (/ 0.5 (exp im)) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (exp im) in im * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (/ 0.5 1) into 0.5 * [misc]backup-simplify: Simplify (sqrt 0.5) into (sqrt 0.5) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 0.5 (/ 1 1)))) into (- 0.5) * [misc]backup-simplify: Simplify (/ (- 0.5) (* 2 (sqrt 0.5))) into (/ -0.25 (sqrt 0.5)) * [misc]taylor: Taking taylor expansion of (* 0.5 (exp im)) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (exp im) in im * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (* (sin re) (+ (* (sqrt (/ 0.5 (exp im))) (sqrt (/ 0.5 (exp im)))) (* 0.5 (exp im)))) in re * [misc]taylor: Taking taylor expansion of (sin re) in re * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* (sqrt (/ 0.5 (exp im))) (sqrt (/ 0.5 (exp im)))) (* 0.5 (exp im))) in re * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 0.5 (exp im))) (sqrt (/ 0.5 (exp im)))) in re * [misc]taylor: Taking taylor expansion of (sqrt (/ 0.5 (exp im))) in re * [misc]taylor: Taking taylor expansion of (/ 0.5 (exp im)) in re * [misc]taylor: Taking taylor expansion of 0.5 in re * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (exp im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (exp im) into (exp im) * [misc]backup-simplify: Simplify (/ 0.5 (exp im)) into (/ 0.5 (exp im)) * [misc]backup-simplify: Simplify (sqrt (/ 0.5 (exp im))) into (* (sqrt (/ 1 (exp im))) (sqrt 0.5)) * [misc]backup-simplify: Simplify (* (exp im) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp im)) (+ (* (/ 0.5 (exp im)) (/ 0 (exp im))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 0.5 (exp im))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ 0.5 (exp im))) in re * [misc]taylor: Taking taylor expansion of (/ 0.5 (exp im)) in re * [misc]taylor: Taking taylor expansion of 0.5 in re * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (exp im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (exp im) into (exp im) * [misc]backup-simplify: Simplify (/ 0.5 (exp im)) into (/ 0.5 (exp im)) * [misc]backup-simplify: Simplify (sqrt (/ 0.5 (exp im))) into (* (sqrt (/ 1 (exp im))) (sqrt 0.5)) * [misc]backup-simplify: Simplify (* (exp im) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp im)) (+ (* (/ 0.5 (exp im)) (/ 0 (exp im))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 0.5 (exp im))))) into 0 * [misc]taylor: Taking taylor expansion of (* 0.5 (exp im)) in re * [misc]taylor: Taking taylor expansion of 0.5 in re * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (exp im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (exp im) into (exp im) * [misc]taylor: Taking taylor expansion of (* (sin re) (+ (* (sqrt (/ 0.5 (exp im))) (sqrt (/ 0.5 (exp im)))) (* 0.5 (exp im)))) in re * [misc]taylor: Taking taylor expansion of (sin re) in re * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* (sqrt (/ 0.5 (exp im))) (sqrt (/ 0.5 (exp im)))) (* 0.5 (exp im))) in re * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 0.5 (exp im))) (sqrt (/ 0.5 (exp im)))) in re * [misc]taylor: Taking taylor expansion of (sqrt (/ 0.5 (exp im))) in re * [misc]taylor: Taking taylor expansion of (/ 0.5 (exp im)) in re * [misc]taylor: Taking taylor expansion of 0.5 in re * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (exp im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (exp im) into (exp im) * [misc]backup-simplify: Simplify (/ 0.5 (exp im)) into (/ 0.5 (exp im)) * [misc]backup-simplify: Simplify (sqrt (/ 0.5 (exp im))) into (* (sqrt (/ 1 (exp im))) (sqrt 0.5)) * [misc]backup-simplify: Simplify (* (exp im) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp im)) (+ (* (/ 0.5 (exp im)) (/ 0 (exp im))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 0.5 (exp im))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ 0.5 (exp im))) in re * [misc]taylor: Taking taylor expansion of (/ 0.5 (exp im)) in re * [misc]taylor: Taking taylor expansion of 0.5 in re * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (exp im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (exp im) into (exp im) * [misc]backup-simplify: Simplify (/ 0.5 (exp im)) into (/ 0.5 (exp im)) * [misc]backup-simplify: Simplify (sqrt (/ 0.5 (exp im))) into (* (sqrt (/ 1 (exp im))) (sqrt 0.5)) * [misc]backup-simplify: Simplify (* (exp im) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp im)) (+ (* (/ 0.5 (exp im)) (/ 0 (exp im))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 0.5 (exp im))))) into 0 * [misc]taylor: Taking taylor expansion of (* 0.5 (exp im)) in re * [misc]taylor: Taking taylor expansion of 0.5 in re * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (exp im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (exp im) into (exp im) * [misc]backup-simplify: Simplify (* (* (sqrt (/ 1 (exp im))) (sqrt 0.5)) (* (sqrt (/ 1 (exp im))) (sqrt 0.5))) into (/ (pow (sqrt 0.5) 2) (exp im)) * [misc]backup-simplify: Simplify (* 0.5 (exp im)) into (* 0.5 (exp im)) * [misc]backup-simplify: Simplify (+ (/ (pow (sqrt 0.5) 2) (exp im)) (* 0.5 (exp im))) into (+ (* 0.5 (exp im)) (/ (pow (sqrt 0.5) 2) (exp im))) * [misc]backup-simplify: Simplify (* 0 (+ (* 0.5 (exp im)) (/ (pow (sqrt 0.5) 2) (exp im)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (* (sqrt (/ 1 (exp im))) (sqrt 0.5)) 0) (* 0 (* (sqrt (/ 1 (exp im))) (sqrt 0.5)))) into 0 * [misc]backup-simplify: Simplify (* (exp im) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (* 0 (exp im))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (+ (* 0.5 (exp im)) (/ (pow (sqrt 0.5) 2) (exp im))))) into (+ (* 0.5 (exp im)) (/ (pow (sqrt 0.5) 2) (exp im))) * [misc]taylor: Taking taylor expansion of (+ (* 0.5 (exp im)) (/ (pow (sqrt 0.5) 2) (exp im))) in im * [misc]taylor: Taking taylor expansion of (* 0.5 (exp im)) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (exp im) in im * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (/ (pow (sqrt 0.5) 2) (exp im)) in im * [misc]taylor: Taking taylor expansion of (pow (sqrt 0.5) 2) in im * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (sqrt 0.5)))) in im * [misc]taylor: Taking taylor expansion of (* 2 (log (sqrt 0.5))) in im * [misc]taylor: Taking taylor expansion of 2 in im * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (sqrt 0.5)) in im * [misc]taylor: Taking taylor expansion of (sqrt 0.5) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]backup-simplify: Simplify (sqrt 0.5) into (sqrt 0.5) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 0.5))) into 0 * [misc]backup-simplify: Simplify (log (sqrt 0.5)) into (log (sqrt 0.5)) * [misc]backup-simplify: Simplify (* 2 (log (sqrt 0.5))) into (* 2 (log (sqrt 0.5))) * [misc]backup-simplify: Simplify (exp (* 2 (log (sqrt 0.5)))) into (pow (sqrt 0.5) 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 (/ (pow (sqrt 0.5) 2) 1) into (pow (sqrt 0.5) 2) * [misc]backup-simplify: Simplify (* 0.5 1) into 0.5 * [misc]backup-simplify: Simplify (+ 0.5 (pow (sqrt 0.5) 2)) into (+ (pow (sqrt 0.5) 2) 0.5) * [misc]backup-simplify: Simplify (+ (pow (sqrt 0.5) 2) 0.5) into (+ (pow (sqrt 0.5) 2) 0.5) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp im) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp im)) (+ (* (/ 0.5 (exp im)) (/ 0 (exp im))) (* 0 (/ 0 (exp im))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (* (sqrt (/ 1 (exp im))) (sqrt 0.5)))) into 0 * [misc]backup-simplify: Simplify (* (exp im) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp im)) (+ (* (/ 0.5 (exp im)) (/ 0 (exp im))) (* 0 (/ 0 (exp im))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (* (sqrt (/ 1 (exp im))) (sqrt 0.5)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (sqrt (/ 1 (exp im))) (sqrt 0.5)) 0) (+ (* 0 0) (* 0 (* (sqrt (/ 1 (exp im))) (sqrt 0.5))))) into 0 * [misc]backup-simplify: Simplify (* (exp im) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (exp im)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (+ (* 0.5 (exp im)) (/ (pow (sqrt 0.5) 2) (exp im)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (+ (* 0.5 1) (* 0 1)) into 0.5 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt 0.5) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (sqrt 0.5)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (sqrt 0.5)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (pow (sqrt 0.5) 2) (/ 1 1)))) into (- (pow (sqrt 0.5) 2)) * [misc]backup-simplify: Simplify (+ 0.5 (- (pow (sqrt 0.5) 2))) into (- 0.5 (pow (sqrt 0.5) 2)) * [misc]backup-simplify: Simplify (- 0.5 (pow (sqrt 0.5) 2)) into (- 0.5 (pow (sqrt 0.5) 2)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp im) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp im)) (+ (* (/ 0.5 (exp im)) (/ 0 (exp im))) (* 0 (/ 0 (exp im))) (* 0 (/ 0 (exp im))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (* (sqrt (/ 1 (exp im))) (sqrt 0.5)))) into 0 * [misc]backup-simplify: Simplify (* (exp im) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp im)) (+ (* (/ 0.5 (exp im)) (/ 0 (exp im))) (* 0 (/ 0 (exp im))) (* 0 (/ 0 (exp im))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (* (sqrt (/ 1 (exp im))) (sqrt 0.5)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (sqrt (/ 1 (exp im))) (sqrt 0.5)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sqrt (/ 1 (exp im))) (sqrt 0.5)))))) into 0 * [misc]backup-simplify: Simplify (* (exp im) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp im))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* (- 1/6) (+ (* 0.5 (exp im)) (/ (pow (sqrt 0.5) 2) (exp im))))))) into (- (+ (* 0.08333333333333333 (exp im)) (* 1/6 (/ (pow (sqrt 0.5) 2) (exp im))))) * [misc]taylor: Taking taylor expansion of (- (+ (* 0.08333333333333333 (exp im)) (* 1/6 (/ (pow (sqrt 0.5) 2) (exp im))))) in im * [misc]taylor: Taking taylor expansion of (+ (* 0.08333333333333333 (exp im)) (* 1/6 (/ (pow (sqrt 0.5) 2) (exp im)))) in im * [misc]taylor: Taking taylor expansion of (* 0.08333333333333333 (exp im)) in im * [misc]taylor: Taking taylor expansion of 0.08333333333333333 in im * [misc]backup-simplify: Simplify 0.08333333333333333 into 0.08333333333333333 * [misc]taylor: Taking taylor expansion of (exp im) in im * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (* 1/6 (/ (pow (sqrt 0.5) 2) (exp im))) in im * [misc]taylor: Taking taylor expansion of 1/6 in im * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (/ (pow (sqrt 0.5) 2) (exp im)) in im * [misc]taylor: Taking taylor expansion of (pow (sqrt 0.5) 2) in im * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (sqrt 0.5)))) in im * [misc]taylor: Taking taylor expansion of (* 2 (log (sqrt 0.5))) in im * [misc]taylor: Taking taylor expansion of 2 in im * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (sqrt 0.5)) in im * [misc]taylor: Taking taylor expansion of (sqrt 0.5) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]backup-simplify: Simplify (sqrt 0.5) into (sqrt 0.5) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 0.5))) into 0 * [misc]backup-simplify: Simplify (log (sqrt 0.5)) into (log (sqrt 0.5)) * [misc]backup-simplify: Simplify (* 2 (log (sqrt 0.5))) into (* 2 (log (sqrt 0.5))) * [misc]backup-simplify: Simplify (exp (* 2 (log (sqrt 0.5)))) into (pow (sqrt 0.5) 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 (/ (pow (sqrt 0.5) 2) 1) into (pow (sqrt 0.5) 2) * [misc]backup-simplify: Simplify (* 0.08333333333333333 1) into 0.08333333333333333 * [misc]backup-simplify: Simplify (* 1/6 (pow (sqrt 0.5) 2)) into (* 1/6 (pow (sqrt 0.5) 2)) * [misc]backup-simplify: Simplify (+ 0.08333333333333333 (* 1/6 (pow (sqrt 0.5) 2))) into (+ (* 1/6 (pow (sqrt 0.5) 2)) 0.08333333333333333) * [misc]backup-simplify: Simplify (- (+ (* 1/6 (pow (sqrt 0.5) 2)) 0.08333333333333333)) into (- (+ (* 1/6 (pow (sqrt 0.5) 2)) 0.08333333333333333)) * [misc]backup-simplify: Simplify (- (+ (* 1/6 (pow (sqrt 0.5) 2)) 0.08333333333333333)) into (- (+ (* 1/6 (pow (sqrt 0.5) 2)) 0.08333333333333333)) * [misc]backup-simplify: Simplify (+ (* (- (+ (* 1/6 (pow (sqrt 0.5) 2)) 0.08333333333333333)) (pow (* 1 re) 3)) (+ (* (- 0.5 (pow (sqrt 0.5) 2)) (* im re)) (* (+ (pow (sqrt 0.5) 2) 0.5) (* 1 re)))) into (- (+ (* 0.5 (* re im)) (+ (* 0.5 re) (* re (pow (sqrt 0.5) 2)))) (+ (* 1/6 (* (pow re 3) (pow (sqrt 0.5) 2))) (+ (* 0.08333333333333333 (pow re 3)) (* re (* (pow (sqrt 0.5) 2) im))))) * [misc]approximate: Taking taylor expansion of (* (sin (/ 1 re)) (+ (* (sqrt (/ 0.5 (exp (/ 1 im)))) (sqrt (/ 0.5 (exp (/ 1 im))))) (* 0.5 (exp (/ 1 im))))) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 re)) (+ (* (sqrt (/ 0.5 (exp (/ 1 im)))) (sqrt (/ 0.5 (exp (/ 1 im))))) (* 0.5 (exp (/ 1 im))))) in im * [misc]taylor: Taking taylor expansion of (sin (/ 1 re)) in im * [misc]taylor: Taking taylor expansion of (/ 1 re) in im * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]backup-simplify: Simplify (/ 1 re) into (/ 1 re) * [misc]backup-simplify: Simplify (sin (/ 1 re)) into (sin (/ 1 re)) * [misc]backup-simplify: Simplify (cos (/ 1 re)) into (cos (/ 1 re)) * [misc]taylor: Taking taylor expansion of (+ (* (sqrt (/ 0.5 (exp (/ 1 im)))) (sqrt (/ 0.5 (exp (/ 1 im))))) (* 0.5 (exp (/ 1 im)))) in im * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 0.5 (exp (/ 1 im)))) (sqrt (/ 0.5 (exp (/ 1 im))))) in im * [misc]taylor: Taking taylor expansion of (sqrt (/ 0.5 (exp (/ 1 im)))) in im * [misc]taylor: Taking taylor expansion of (/ 0.5 (exp (/ 1 im))) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (exp (/ 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 (/ 0.5 (exp (/ 1 im))) into (/ 0.5 (exp (/ 1 im))) * [misc]backup-simplify: Simplify (sqrt (/ 0.5 (exp (/ 1 im)))) into (* (sqrt 0.5) (sqrt (/ 1 (exp (/ 1 im))))) * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ 1 im))) (+ (* (/ 0.5 (exp (/ 1 im))) (/ 0 (exp (/ 1 im)))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 0.5 (exp (/ 1 im)))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ 0.5 (exp (/ 1 im)))) in im * [misc]taylor: Taking taylor expansion of (/ 0.5 (exp (/ 1 im))) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (exp (/ 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 (/ 0.5 (exp (/ 1 im))) into (/ 0.5 (exp (/ 1 im))) * [misc]backup-simplify: Simplify (sqrt (/ 0.5 (exp (/ 1 im)))) into (* (sqrt 0.5) (sqrt (/ 1 (exp (/ 1 im))))) * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ 1 im))) (+ (* (/ 0.5 (exp (/ 1 im))) (/ 0 (exp (/ 1 im)))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 0.5 (exp (/ 1 im)))))) into 0 * [misc]taylor: Taking taylor expansion of (* 0.5 (exp (/ 1 im))) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (exp (/ 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 (* (sin (/ 1 re)) (+ (* (sqrt (/ 0.5 (exp (/ 1 im)))) (sqrt (/ 0.5 (exp (/ 1 im))))) (* 0.5 (exp (/ 1 im))))) in re * [misc]taylor: Taking taylor expansion of (sin (/ 1 re)) in re * [misc]taylor: Taking taylor expansion of (/ 1 re) in re * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 re)) into (sin (/ 1 re)) * [misc]taylor: Taking taylor expansion of (+ (* (sqrt (/ 0.5 (exp (/ 1 im)))) (sqrt (/ 0.5 (exp (/ 1 im))))) (* 0.5 (exp (/ 1 im)))) in re * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 0.5 (exp (/ 1 im)))) (sqrt (/ 0.5 (exp (/ 1 im))))) in re * [misc]taylor: Taking taylor expansion of (sqrt (/ 0.5 (exp (/ 1 im)))) in re * [misc]taylor: Taking taylor expansion of (/ 0.5 (exp (/ 1 im))) in re * [misc]taylor: Taking taylor expansion of 0.5 in re * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (exp (/ 1 im)) in re * [misc]taylor: Taking taylor expansion of (/ 1 im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (/ 1 im) into (/ 1 im) * [misc]backup-simplify: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) * [misc]backup-simplify: Simplify (/ 0.5 (exp (/ 1 im))) into (/ 0.5 (exp (/ 1 im))) * [misc]backup-simplify: Simplify (sqrt (/ 0.5 (exp (/ 1 im)))) into (* (sqrt 0.5) (sqrt (/ 1 (exp (/ 1 im))))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ 1 im))) (+ (* (/ 0.5 (exp (/ 1 im))) (/ 0 (exp (/ 1 im)))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 0.5 (exp (/ 1 im)))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ 0.5 (exp (/ 1 im)))) in re * [misc]taylor: Taking taylor expansion of (/ 0.5 (exp (/ 1 im))) in re * [misc]taylor: Taking taylor expansion of 0.5 in re * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (exp (/ 1 im)) in re * [misc]taylor: Taking taylor expansion of (/ 1 im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (/ 1 im) into (/ 1 im) * [misc]backup-simplify: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) * [misc]backup-simplify: Simplify (/ 0.5 (exp (/ 1 im))) into (/ 0.5 (exp (/ 1 im))) * [misc]backup-simplify: Simplify (sqrt (/ 0.5 (exp (/ 1 im)))) into (* (sqrt 0.5) (sqrt (/ 1 (exp (/ 1 im))))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ 1 im))) (+ (* (/ 0.5 (exp (/ 1 im))) (/ 0 (exp (/ 1 im)))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 0.5 (exp (/ 1 im)))))) into 0 * [misc]taylor: Taking taylor expansion of (* 0.5 (exp (/ 1 im))) in re * [misc]taylor: Taking taylor expansion of 0.5 in re * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (exp (/ 1 im)) in re * [misc]taylor: Taking taylor expansion of (/ 1 im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (/ 1 im) into (/ 1 im) * [misc]backup-simplify: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 re)) (+ (* (sqrt (/ 0.5 (exp (/ 1 im)))) (sqrt (/ 0.5 (exp (/ 1 im))))) (* 0.5 (exp (/ 1 im))))) in re * [misc]taylor: Taking taylor expansion of (sin (/ 1 re)) in re * [misc]taylor: Taking taylor expansion of (/ 1 re) in re * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 re)) into (sin (/ 1 re)) * [misc]taylor: Taking taylor expansion of (+ (* (sqrt (/ 0.5 (exp (/ 1 im)))) (sqrt (/ 0.5 (exp (/ 1 im))))) (* 0.5 (exp (/ 1 im)))) in re * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 0.5 (exp (/ 1 im)))) (sqrt (/ 0.5 (exp (/ 1 im))))) in re * [misc]taylor: Taking taylor expansion of (sqrt (/ 0.5 (exp (/ 1 im)))) in re * [misc]taylor: Taking taylor expansion of (/ 0.5 (exp (/ 1 im))) in re * [misc]taylor: Taking taylor expansion of 0.5 in re * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (exp (/ 1 im)) in re * [misc]taylor: Taking taylor expansion of (/ 1 im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (/ 1 im) into (/ 1 im) * [misc]backup-simplify: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) * [misc]backup-simplify: Simplify (/ 0.5 (exp (/ 1 im))) into (/ 0.5 (exp (/ 1 im))) * [misc]backup-simplify: Simplify (sqrt (/ 0.5 (exp (/ 1 im)))) into (* (sqrt 0.5) (sqrt (/ 1 (exp (/ 1 im))))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ 1 im))) (+ (* (/ 0.5 (exp (/ 1 im))) (/ 0 (exp (/ 1 im)))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 0.5 (exp (/ 1 im)))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ 0.5 (exp (/ 1 im)))) in re * [misc]taylor: Taking taylor expansion of (/ 0.5 (exp (/ 1 im))) in re * [misc]taylor: Taking taylor expansion of 0.5 in re * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (exp (/ 1 im)) in re * [misc]taylor: Taking taylor expansion of (/ 1 im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (/ 1 im) into (/ 1 im) * [misc]backup-simplify: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) * [misc]backup-simplify: Simplify (/ 0.5 (exp (/ 1 im))) into (/ 0.5 (exp (/ 1 im))) * [misc]backup-simplify: Simplify (sqrt (/ 0.5 (exp (/ 1 im)))) into (* (sqrt 0.5) (sqrt (/ 1 (exp (/ 1 im))))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ 1 im))) (+ (* (/ 0.5 (exp (/ 1 im))) (/ 0 (exp (/ 1 im)))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 0.5 (exp (/ 1 im)))))) into 0 * [misc]taylor: Taking taylor expansion of (* 0.5 (exp (/ 1 im))) in re * [misc]taylor: Taking taylor expansion of 0.5 in re * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (exp (/ 1 im)) in re * [misc]taylor: Taking taylor expansion of (/ 1 im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (/ 1 im) into (/ 1 im) * [misc]backup-simplify: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) * [misc]backup-simplify: Simplify (* (* (sqrt 0.5) (sqrt (/ 1 (exp (/ 1 im))))) (* (sqrt 0.5) (sqrt (/ 1 (exp (/ 1 im)))))) into (/ (pow (sqrt 0.5) 2) (exp (/ 1 im))) * [misc]backup-simplify: Simplify (* 0.5 (exp (/ 1 im))) into (* 0.5 (exp (/ 1 im))) * [misc]backup-simplify: Simplify (+ (/ (pow (sqrt 0.5) 2) (exp (/ 1 im))) (* 0.5 (exp (/ 1 im)))) into (+ (/ (pow (sqrt 0.5) 2) (exp (/ 1 im))) (* 0.5 (exp (/ 1 im)))) * [misc]backup-simplify: Simplify (* (sin (/ 1 re)) (+ (/ (pow (sqrt 0.5) 2) (exp (/ 1 im))) (* 0.5 (exp (/ 1 im))))) into (* (sin (/ 1 re)) (+ (/ (pow (sqrt 0.5) 2) (exp (/ 1 im))) (* 0.5 (exp (/ 1 im))))) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 re)) (+ (/ (pow (sqrt 0.5) 2) (exp (/ 1 im))) (* 0.5 (exp (/ 1 im))))) in im * [misc]taylor: Taking taylor expansion of (sin (/ 1 re)) in im * [misc]taylor: Taking taylor expansion of (/ 1 re) in im * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]backup-simplify: Simplify (/ 1 re) into (/ 1 re) * [misc]backup-simplify: Simplify (sin (/ 1 re)) into (sin (/ 1 re)) * [misc]backup-simplify: Simplify (cos (/ 1 re)) into (cos (/ 1 re)) * [misc]taylor: Taking taylor expansion of (+ (/ (pow (sqrt 0.5) 2) (exp (/ 1 im))) (* 0.5 (exp (/ 1 im)))) in im * [misc]taylor: Taking taylor expansion of (/ (pow (sqrt 0.5) 2) (exp (/ 1 im))) in im * [misc]taylor: Taking taylor expansion of (pow (sqrt 0.5) 2) in im * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (sqrt 0.5)))) in im * [misc]taylor: Taking taylor expansion of (* 2 (log (sqrt 0.5))) in im * [misc]taylor: Taking taylor expansion of 2 in im * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (sqrt 0.5)) in im * [misc]taylor: Taking taylor expansion of (sqrt 0.5) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]backup-simplify: Simplify (sqrt 0.5) into (sqrt 0.5) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 0.5))) into 0 * [misc]backup-simplify: Simplify (log (sqrt 0.5)) into (log (sqrt 0.5)) * [misc]backup-simplify: Simplify (* 2 (log (sqrt 0.5))) into (* 2 (log (sqrt 0.5))) * [misc]backup-simplify: Simplify (exp (* 2 (log (sqrt 0.5)))) into (pow (sqrt 0.5) 2) * [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 (/ (pow (sqrt 0.5) 2) (exp (/ 1 im))) into (/ (pow (sqrt 0.5) 2) (exp (/ 1 im))) * [misc]taylor: Taking taylor expansion of (* 0.5 (exp (/ 1 im))) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (exp (/ 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 (* (sin (/ 1 re)) 1) into (sin (/ 1 re)) * [misc]backup-simplify: Simplify (* (cos (/ 1 re)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1 re)) 0) into (sin (/ 1 re)) * [misc]backup-simplify: Simplify (* 0.5 (exp (/ 1 im))) into (* 0.5 (exp (/ 1 im))) * [misc]backup-simplify: Simplify (+ (/ (pow (sqrt 0.5) 2) (exp (/ 1 im))) (* 0.5 (exp (/ 1 im)))) into (+ (/ (pow (sqrt 0.5) 2) (exp (/ 1 im))) (* 0.5 (exp (/ 1 im)))) * [misc]backup-simplify: Simplify (* (sin (/ 1 re)) (+ (/ (pow (sqrt 0.5) 2) (exp (/ 1 im))) (* 0.5 (exp (/ 1 im))))) into (* (sin (/ 1 re)) (+ (/ (pow (sqrt 0.5) 2) (exp (/ 1 im))) (* 0.5 (exp (/ 1 im))))) * [misc]backup-simplify: Simplify (* (sin (/ 1 re)) (+ (/ (pow (sqrt 0.5) 2) (exp (/ 1 im))) (* 0.5 (exp (/ 1 im))))) into (* (sin (/ 1 re)) (+ (/ (pow (sqrt 0.5) 2) (exp (/ 1 im))) (* 0.5 (exp (/ 1 im))))) * [misc]backup-simplify: Simplify (+ (* (* (sqrt 0.5) (sqrt (/ 1 (exp (/ 1 im))))) 0) (* 0 (* (sqrt 0.5) (sqrt (/ 1 (exp (/ 1 im))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (* 0 (exp (/ 1 im)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 re)) 0) (* 0 (+ (/ (pow (sqrt 0.5) 2) (exp (/ 1 im))) (* 0.5 (exp (/ 1 im)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt 0.5) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (sqrt 0.5)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (sqrt 0.5)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ 1 im))) (+ (* (/ (pow (sqrt 0.5) 2) (exp (/ 1 im))) (/ 0 (exp (/ 1 im)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (* 0 (exp (/ 1 im)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 re)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 re)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 re)) 0) (* 0 (+ (/ (pow (sqrt 0.5) 2) (exp (/ 1 im))) (* 0.5 (exp (/ 1 im)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ 1 im))) (+ (* (/ 0.5 (exp (/ 1 im))) (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (* (sqrt 0.5) (sqrt (/ 1 (exp (/ 1 im))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ 1 im))) (+ (* (/ 0.5 (exp (/ 1 im))) (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (* (sqrt 0.5) (sqrt (/ 1 (exp (/ 1 im))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 0.5) (sqrt (/ 1 (exp (/ 1 im))))) 0) (+ (* 0 0) (* 0 (* (sqrt 0.5) (sqrt (/ 1 (exp (/ 1 im)))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (exp (/ 1 im))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 re)) 0) (+ (* 0 0) (* 0 (+ (/ (pow (sqrt 0.5) 2) (exp (/ 1 im))) (* 0.5 (exp (/ 1 im))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.5))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt 0.5) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt 0.5) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log (sqrt 0.5))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (sqrt 0.5)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ 1 im))) (+ (* (/ (pow (sqrt 0.5) 2) (exp (/ 1 im))) (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (exp (/ 1 im))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 re)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 re)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 re)) 0) (+ (* 0 0) (* 0 (+ (/ (pow (sqrt 0.5) 2) (exp (/ 1 im))) (* 0.5 (exp (/ 1 im))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)) (* 0 (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ 1 im))) (+ (* (/ 0.5 (exp (/ 1 im))) (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (* (sqrt 0.5) (sqrt (/ 1 (exp (/ 1 im))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)) (* 0 (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ 1 im))) (+ (* (/ 0.5 (exp (/ 1 im))) (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (* (sqrt 0.5) (sqrt (/ 1 (exp (/ 1 im))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 0.5) (sqrt (/ 1 (exp (/ 1 im))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sqrt 0.5) (sqrt (/ 1 (exp (/ 1 im))))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)) (* 0 (/ 0 im)))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ 1 im)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 re)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ (pow (sqrt 0.5) 2) (exp (/ 1 im))) (* 0.5 (exp (/ 1 im)))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (sin (/ 1 (/ 1 re))) (+ (/ (pow (sqrt 0.5) 2) (exp (/ 1 (/ 1 im)))) (* 0.5 (exp (/ 1 (/ 1 im)))))) into (* (+ (* 0.5 (exp im)) (/ (pow (sqrt 0.5) 2) (exp im))) (sin re)) * [misc]approximate: Taking taylor expansion of (* (sin (/ 1 (- re))) (+ (* (sqrt (/ 0.5 (exp (/ 1 (- im))))) (sqrt (/ 0.5 (exp (/ 1 (- im)))))) (* 0.5 (exp (/ 1 (- im)))))) in (re im) around 0 * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- re))) (+ (* (sqrt (/ 0.5 (exp (/ 1 (- im))))) (sqrt (/ 0.5 (exp (/ 1 (- im)))))) (* 0.5 (exp (/ 1 (- im)))))) in im * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- re))) in im * [misc]taylor: Taking taylor expansion of (/ 1 (- re)) in im * [misc]taylor: Taking taylor expansion of (- re) in im * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]backup-simplify: Simplify (- re) into (- re) * [misc]backup-simplify: Simplify (- re) into (- re) * [misc]backup-simplify: Simplify (/ 1 (- re)) into (/ -1 re) * [misc]backup-simplify: Simplify (sin (/ -1 re)) into (sin (/ -1 re)) * [misc]backup-simplify: Simplify (cos (/ -1 re)) into (cos (/ -1 re)) * [misc]taylor: Taking taylor expansion of (+ (* (sqrt (/ 0.5 (exp (/ 1 (- im))))) (sqrt (/ 0.5 (exp (/ 1 (- im)))))) (* 0.5 (exp (/ 1 (- im))))) in im * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 0.5 (exp (/ 1 (- im))))) (sqrt (/ 0.5 (exp (/ 1 (- im)))))) in im * [misc]taylor: Taking taylor expansion of (sqrt (/ 0.5 (exp (/ 1 (- im))))) in im * [misc]taylor: Taking taylor expansion of (/ 0.5 (exp (/ 1 (- im)))) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (exp (/ 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 (/ 0.5 (exp (/ -1 im))) into (/ 0.5 (exp (/ -1 im))) * [misc]backup-simplify: Simplify (sqrt (/ 0.5 (exp (/ -1 im)))) into (* (sqrt 0.5) (sqrt (/ 1 (exp (/ -1 im))))) * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ -1 im))) (+ (* (/ 0.5 (exp (/ -1 im))) (/ 0 (exp (/ -1 im)))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 0.5 (exp (/ -1 im)))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ 0.5 (exp (/ 1 (- im))))) in im * [misc]taylor: Taking taylor expansion of (/ 0.5 (exp (/ 1 (- im)))) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (exp (/ 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 (/ 0.5 (exp (/ -1 im))) into (/ 0.5 (exp (/ -1 im))) * [misc]backup-simplify: Simplify (sqrt (/ 0.5 (exp (/ -1 im)))) into (* (sqrt 0.5) (sqrt (/ 1 (exp (/ -1 im))))) * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ -1 im))) (+ (* (/ 0.5 (exp (/ -1 im))) (/ 0 (exp (/ -1 im)))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 0.5 (exp (/ -1 im)))))) into 0 * [misc]taylor: Taking taylor expansion of (* 0.5 (exp (/ 1 (- im)))) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (exp (/ 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 (* (sin (/ 1 (- re))) (+ (* (sqrt (/ 0.5 (exp (/ 1 (- im))))) (sqrt (/ 0.5 (exp (/ 1 (- im)))))) (* 0.5 (exp (/ 1 (- im)))))) in re * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- re))) in re * [misc]taylor: Taking taylor expansion of (/ 1 (- re)) in re * [misc]taylor: Taking taylor expansion of (- re) in re * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- re))) into (sin (/ -1 re)) * [misc]taylor: Taking taylor expansion of (+ (* (sqrt (/ 0.5 (exp (/ 1 (- im))))) (sqrt (/ 0.5 (exp (/ 1 (- im)))))) (* 0.5 (exp (/ 1 (- im))))) in re * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 0.5 (exp (/ 1 (- im))))) (sqrt (/ 0.5 (exp (/ 1 (- im)))))) in re * [misc]taylor: Taking taylor expansion of (sqrt (/ 0.5 (exp (/ 1 (- im))))) in re * [misc]taylor: Taking taylor expansion of (/ 0.5 (exp (/ 1 (- im)))) in re * [misc]taylor: Taking taylor expansion of 0.5 in re * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- im))) in re * [misc]taylor: Taking taylor expansion of (/ 1 (- im)) in re * [misc]taylor: Taking taylor expansion of (- im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (/ 1 (- im)) into (/ -1 im) * [misc]backup-simplify: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) * [misc]backup-simplify: Simplify (/ 0.5 (exp (/ -1 im))) into (/ 0.5 (exp (/ -1 im))) * [misc]backup-simplify: Simplify (sqrt (/ 0.5 (exp (/ -1 im)))) into (* (sqrt 0.5) (sqrt (/ 1 (exp (/ -1 im))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ -1 im))) (+ (* (/ 0.5 (exp (/ -1 im))) (/ 0 (exp (/ -1 im)))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 0.5 (exp (/ -1 im)))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ 0.5 (exp (/ 1 (- im))))) in re * [misc]taylor: Taking taylor expansion of (/ 0.5 (exp (/ 1 (- im)))) in re * [misc]taylor: Taking taylor expansion of 0.5 in re * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- im))) in re * [misc]taylor: Taking taylor expansion of (/ 1 (- im)) in re * [misc]taylor: Taking taylor expansion of (- im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (/ 1 (- im)) into (/ -1 im) * [misc]backup-simplify: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) * [misc]backup-simplify: Simplify (/ 0.5 (exp (/ -1 im))) into (/ 0.5 (exp (/ -1 im))) * [misc]backup-simplify: Simplify (sqrt (/ 0.5 (exp (/ -1 im)))) into (* (sqrt 0.5) (sqrt (/ 1 (exp (/ -1 im))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ -1 im))) (+ (* (/ 0.5 (exp (/ -1 im))) (/ 0 (exp (/ -1 im)))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 0.5 (exp (/ -1 im)))))) into 0 * [misc]taylor: Taking taylor expansion of (* 0.5 (exp (/ 1 (- im)))) in re * [misc]taylor: Taking taylor expansion of 0.5 in re * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- im))) in re * [misc]taylor: Taking taylor expansion of (/ 1 (- im)) in re * [misc]taylor: Taking taylor expansion of (- im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (/ 1 (- im)) into (/ -1 im) * [misc]backup-simplify: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- re))) (+ (* (sqrt (/ 0.5 (exp (/ 1 (- im))))) (sqrt (/ 0.5 (exp (/ 1 (- im)))))) (* 0.5 (exp (/ 1 (- im)))))) in re * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- re))) in re * [misc]taylor: Taking taylor expansion of (/ 1 (- re)) in re * [misc]taylor: Taking taylor expansion of (- re) in re * [misc]taylor: Taking taylor expansion of re in re * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- re))) into (sin (/ -1 re)) * [misc]taylor: Taking taylor expansion of (+ (* (sqrt (/ 0.5 (exp (/ 1 (- im))))) (sqrt (/ 0.5 (exp (/ 1 (- im)))))) (* 0.5 (exp (/ 1 (- im))))) in re * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 0.5 (exp (/ 1 (- im))))) (sqrt (/ 0.5 (exp (/ 1 (- im)))))) in re * [misc]taylor: Taking taylor expansion of (sqrt (/ 0.5 (exp (/ 1 (- im))))) in re * [misc]taylor: Taking taylor expansion of (/ 0.5 (exp (/ 1 (- im)))) in re * [misc]taylor: Taking taylor expansion of 0.5 in re * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- im))) in re * [misc]taylor: Taking taylor expansion of (/ 1 (- im)) in re * [misc]taylor: Taking taylor expansion of (- im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (/ 1 (- im)) into (/ -1 im) * [misc]backup-simplify: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) * [misc]backup-simplify: Simplify (/ 0.5 (exp (/ -1 im))) into (/ 0.5 (exp (/ -1 im))) * [misc]backup-simplify: Simplify (sqrt (/ 0.5 (exp (/ -1 im)))) into (* (sqrt 0.5) (sqrt (/ 1 (exp (/ -1 im))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ -1 im))) (+ (* (/ 0.5 (exp (/ -1 im))) (/ 0 (exp (/ -1 im)))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 0.5 (exp (/ -1 im)))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ 0.5 (exp (/ 1 (- im))))) in re * [misc]taylor: Taking taylor expansion of (/ 0.5 (exp (/ 1 (- im)))) in re * [misc]taylor: Taking taylor expansion of 0.5 in re * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- im))) in re * [misc]taylor: Taking taylor expansion of (/ 1 (- im)) in re * [misc]taylor: Taking taylor expansion of (- im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (/ 1 (- im)) into (/ -1 im) * [misc]backup-simplify: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) * [misc]backup-simplify: Simplify (/ 0.5 (exp (/ -1 im))) into (/ 0.5 (exp (/ -1 im))) * [misc]backup-simplify: Simplify (sqrt (/ 0.5 (exp (/ -1 im)))) into (* (sqrt 0.5) (sqrt (/ 1 (exp (/ -1 im))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ -1 im))) (+ (* (/ 0.5 (exp (/ -1 im))) (/ 0 (exp (/ -1 im)))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 0.5 (exp (/ -1 im)))))) into 0 * [misc]taylor: Taking taylor expansion of (* 0.5 (exp (/ 1 (- im)))) in re * [misc]taylor: Taking taylor expansion of 0.5 in re * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- im))) in re * [misc]taylor: Taking taylor expansion of (/ 1 (- im)) in re * [misc]taylor: Taking taylor expansion of (- im) in re * [misc]taylor: Taking taylor expansion of im in re * [misc]backup-simplify: Simplify im into im * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (/ 1 (- im)) into (/ -1 im) * [misc]backup-simplify: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) * [misc]backup-simplify: Simplify (* (* (sqrt 0.5) (sqrt (/ 1 (exp (/ -1 im))))) (* (sqrt 0.5) (sqrt (/ 1 (exp (/ -1 im)))))) into (/ (pow (sqrt 0.5) 2) (exp (/ -1 im))) * [misc]backup-simplify: Simplify (* 0.5 (exp (/ -1 im))) into (* 0.5 (exp (/ -1 im))) * [misc]backup-simplify: Simplify (+ (/ (pow (sqrt 0.5) 2) (exp (/ -1 im))) (* 0.5 (exp (/ -1 im)))) into (+ (/ (pow (sqrt 0.5) 2) (exp (/ -1 im))) (* 0.5 (exp (/ -1 im)))) * [misc]backup-simplify: Simplify (* (sin (/ -1 re)) (+ (/ (pow (sqrt 0.5) 2) (exp (/ -1 im))) (* 0.5 (exp (/ -1 im))))) into (* (+ (/ (pow (sqrt 0.5) 2) (exp (/ -1 im))) (* 0.5 (exp (/ -1 im)))) (sin (/ -1 re))) * [misc]taylor: Taking taylor expansion of (* (+ (/ (pow (sqrt 0.5) 2) (exp (/ -1 im))) (* 0.5 (exp (/ -1 im)))) (sin (/ -1 re))) in im * [misc]taylor: Taking taylor expansion of (+ (/ (pow (sqrt 0.5) 2) (exp (/ -1 im))) (* 0.5 (exp (/ -1 im)))) in im * [misc]taylor: Taking taylor expansion of (/ (pow (sqrt 0.5) 2) (exp (/ -1 im))) in im * [misc]taylor: Taking taylor expansion of (pow (sqrt 0.5) 2) in im * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (sqrt 0.5)))) in im * [misc]taylor: Taking taylor expansion of (* 2 (log (sqrt 0.5))) in im * [misc]taylor: Taking taylor expansion of 2 in im * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (sqrt 0.5)) in im * [misc]taylor: Taking taylor expansion of (sqrt 0.5) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]backup-simplify: Simplify (sqrt 0.5) into (sqrt 0.5) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 0.5))) into 0 * [misc]backup-simplify: Simplify (log (sqrt 0.5)) into (log (sqrt 0.5)) * [misc]backup-simplify: Simplify (* 2 (log (sqrt 0.5))) into (* 2 (log (sqrt 0.5))) * [misc]backup-simplify: Simplify (exp (* 2 (log (sqrt 0.5)))) into (pow (sqrt 0.5) 2) * [misc]taylor: Taking taylor expansion of (exp (/ -1 im)) in im * [misc]taylor: Taking taylor expansion of (/ -1 im) in im * [misc]taylor: Taking taylor expansion of -1 in im * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) * [misc]backup-simplify: Simplify (/ (pow (sqrt 0.5) 2) (exp (/ -1 im))) into (/ (pow (sqrt 0.5) 2) (exp (/ -1 im))) * [misc]taylor: Taking taylor expansion of (* 0.5 (exp (/ -1 im))) in im * [misc]taylor: Taking taylor expansion of 0.5 in im * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (exp (/ -1 im)) in im * [misc]taylor: Taking taylor expansion of (/ -1 im) in im * [misc]taylor: Taking taylor expansion of -1 in im * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of im in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) * [misc]taylor: Taking taylor expansion of (sin (/ -1 re)) in im * [misc]taylor: Taking taylor expansion of (/ -1 re) in im * [misc]taylor: Taking taylor expansion of -1 in im * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of re in im * [misc]backup-simplify: Simplify re into re * [misc]backup-simplify: Simplify (/ -1 re) into (/ -1 re) * [misc]backup-simplify: Simplify (sin (/ -1 re)) into (sin (/ -1 re)) * [misc]backup-simplify: Simplify (cos (/ -1 re)) into (cos (/ -1 re)) * [misc]backup-simplify: Simplify (* 0.5 (exp (/ -1 im))) into (* 0.5 (exp (/ -1 im))) * [misc]backup-simplify: Simplify (+ (/ (pow (sqrt 0.5) 2) (exp (/ -1 im))) (* 0.5 (exp (/ -1 im)))) into (+ (/ (pow (sqrt 0.5) 2) (exp (/ -1 im))) (* 0.5 (exp (/ -1 im)))) * [misc]backup-simplify: Simplify (* (sin (/ -1 re)) 1) into (sin (/ -1 re)) * [misc]backup-simplify: Simplify (* (cos (/ -1 re)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1 re)) 0) into (sin (/ -1 re)) * [misc]backup-simplify: Simplify (* (+ (/ (pow (sqrt 0.5) 2) (exp (/ -1 im))) (* 0.5 (exp (/ -1 im)))) (sin (/ -1 re))) into (* (+ (/ (pow (sqrt 0.5) 2) (exp (/ -1 im))) (* 0.5 (exp (/ -1 im)))) (sin (/ -1 re))) * [misc]backup-simplify: Simplify (* (+ (/ (pow (sqrt 0.5) 2) (exp (/ -1 im))) (* 0.5 (exp (/ -1 im)))) (sin (/ -1 re))) into (* (+ (/ (pow (sqrt 0.5) 2) (exp (/ -1 im))) (* 0.5 (exp (/ -1 im)))) (sin (/ -1 re))) * [misc]backup-simplify: Simplify (+ (* (* (sqrt 0.5) (sqrt (/ 1 (exp (/ -1 im))))) 0) (* 0 (* (sqrt 0.5) (sqrt (/ 1 (exp (/ -1 im))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (* 0 (exp (/ -1 im)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 re)) 0) (* 0 (+ (/ (pow (sqrt 0.5) 2) (exp (/ -1 im))) (* 0.5 (exp (/ -1 im)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 re)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 re) (+ (* (/ -1 re) (/ 0 re)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 re)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt 0.5) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (sqrt 0.5)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (sqrt 0.5)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ -1 im))) (+ (* (/ (pow (sqrt 0.5) 2) (exp (/ -1 im))) (/ 0 (exp (/ -1 im)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (* 0 (exp (/ -1 im)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ (/ (pow (sqrt 0.5) 2) (exp (/ -1 im))) (* 0.5 (exp (/ -1 im)))) 0) (* 0 (sin (/ -1 re)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 im) (/ 0 (- im))) (* 0 (/ 0 (- im))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ -1 im))) (+ (* (/ 0.5 (exp (/ -1 im))) (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (* (sqrt 0.5) (sqrt (/ 1 (exp (/ -1 im))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 im) (/ 0 (- im))) (* 0 (/ 0 (- im))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ -1 im))) (+ (* (/ 0.5 (exp (/ -1 im))) (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (* (sqrt 0.5) (sqrt (/ 1 (exp (/ -1 im))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 0.5) (sqrt (/ 1 (exp (/ -1 im))))) 0) (+ (* 0 0) (* 0 (* (sqrt 0.5) (sqrt (/ 1 (exp (/ -1 im)))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 im) (/ 0 (- im))) (* 0 (/ 0 (- im))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (exp (/ -1 im))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 re)) 0) (+ (* 0 0) (* 0 (+ (/ (pow (sqrt 0.5) 2) (exp (/ -1 im))) (* 0.5 (exp (/ -1 im))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 re)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 re) (+ (* (/ -1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 re)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.5))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt 0.5) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt 0.5) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log (sqrt 0.5))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (sqrt 0.5)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ -1 im))) (+ (* (/ (pow (sqrt 0.5) 2) (exp (/ -1 im))) (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (exp (/ -1 im))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ (/ (pow (sqrt 0.5) 2) (exp (/ -1 im))) (* 0.5 (exp (/ -1 im)))) 0) (+ (* 0 0) (* 0 (sin (/ -1 re))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 im) (/ 0 (- im))) (* 0 (/ 0 (- im))) (* 0 (/ 0 (- im))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ -1 im))) (+ (* (/ 0.5 (exp (/ -1 im))) (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (* (sqrt 0.5) (sqrt (/ 1 (exp (/ -1 im))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 im) (/ 0 (- im))) (* 0 (/ 0 (- im))) (* 0 (/ 0 (- im))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ -1 im))) (+ (* (/ 0.5 (exp (/ -1 im))) (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (* (sqrt 0.5) (sqrt (/ 1 (exp (/ -1 im))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 0.5) (sqrt (/ 1 (exp (/ -1 im))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sqrt 0.5) (sqrt (/ 1 (exp (/ -1 im))))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- im) into (- im) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 im) (/ 0 (- im))) (* 0 (/ 0 (- im))) (* 0 (/ 0 (- im))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ -1 im)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 re)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ (pow (sqrt 0.5) 2) (exp (/ -1 im))) (* 0.5 (exp (/ -1 im)))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in im * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (+ (/ (pow (sqrt 0.5) 2) (exp (/ -1 (/ 1 (- im))))) (* 0.5 (exp (/ -1 (/ 1 (- im)))))) (sin (/ -1 (/ 1 (- re))))) into (* (+ (* 0.5 (exp im)) (/ (pow (sqrt 0.5) 2) (exp im))) (sin re)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 0.5 (exp im)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (/ 0.5 (exp im)) * [misc]simplify: Simplified (2 2 1 1) to (λ (re im) (* (sin re) (+ (pow (/ 0.5 (exp im)) (+ 1/2 1/2)) (* 0.5 (exp im))))) * [enter]simplify: Simplifying (+ 1/2 1/2) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (+ 1/2 1/2) * [misc]simplify: Simplified (2 2 1 2) to (λ (re im) (* (sin re) (+ (pow (/ 0.5 (exp im)) (+ 1/2 1/2)) (* 0.5 (exp im))))) * * * * [misc]progress: [ 2 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 0.5 (exp im))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (sqrt (/ 0.5 (exp im))) * [misc]simplify: Simplified (2 2 1 1) to (λ (re im) (* (sin re) (+ (pow (sqrt (/ 0.5 (exp im))) (+ 1 1)) (* 0.5 (exp im))))) * [enter]simplify: Simplifying (+ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (+ 1 1) * [misc]simplify: Simplified (2 2 1 2) to (λ (re im) (* (sin re) (+ (pow (sqrt (/ 0.5 (exp im))) (+ 1 1)) (* 0.5 (exp im))))) * * * * [misc]progress: [ 3 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 0.5 (exp im)) (/ 0.5 (exp im))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (26 enodes) * [exit]simplify: Simplified to (* (/ 0.5 (exp im)) (/ 0.5 (exp im))) * [misc]simplify: Simplified (2 2 1 1) to (λ (re im) (* (sin re) (+ (pow (* (/ 0.5 (exp im)) (/ 0.5 (exp im))) 1/2) (* 0.5 (exp im))))) * * * * [misc]progress: [ 4 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ 0.5 (exp im))) (sqrt (/ 0.5 (exp im)))) * * [misc]simplify: iters left: 6 (6 enodes) * [exit]simplify: Simplified to (/ 0.5 (exp im)) * [misc]simplify: Simplified (2 2 1 1) to (λ (re im) (* (sin re) (+ (pow (/ 0.5 (exp im)) 1) (* 0.5 (exp im))))) * * * * [misc]progress: [ 5 / 94 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 0.5 (exp im))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (sqrt (/ 0.5 (exp im))) * [misc]simplify: Simplified (2 2 1 1) to (λ (re im) (* (sin re) (+ (pow (sqrt (/ 0.5 (exp im))) (+ 1 1)) (* 0.5 (exp im))))) * * * * [misc]progress: [ 7 / 94 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (sqrt (/ 0.5 (exp im)))) (log (sqrt (/ 0.5 (exp im))))) * * [misc]simplify: iters left: 6 (7 enodes) * [exit]simplify: Simplified to (+ (log (sqrt (/ 0.5 (exp im)))) (log (sqrt (/ 0.5 (exp im))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (re im) (* (sin re) (+ (exp (+ (log (sqrt (/ 0.5 (exp im)))) (log (sqrt (/ 0.5 (exp im)))))) (* 0.5 (exp im))))) * * * * [misc]progress: [ 9 / 94 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 94 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (sqrt (/ 0.5 (exp im))) (sqrt (/ 0.5 (exp im)))) (sqrt (/ 0.5 (exp im)))) (* (* (sqrt (/ 0.5 (exp im))) (sqrt (/ 0.5 (exp im)))) (sqrt (/ 0.5 (exp im))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (137 enodes) * * [misc]simplify: iters left: 1 (253 enodes) * [exit]simplify: Simplified to (pow (/ 0.5 (exp im)) 3) * [misc]simplify: Simplified (2 2 1 1) to (λ (re im) (* (sin re) (+ (cbrt (pow (/ 0.5 (exp im)) 3)) (* 0.5 (exp im))))) * * * * [misc]progress: [ 12 / 94 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 94 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 0.5 (exp im)) (/ 0.5 (exp im))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (26 enodes) * [exit]simplify: Simplified to (* (/ 0.5 (exp im)) (/ 0.5 (exp im))) * [misc]simplify: Simplified (2 2 1 1) to (λ (re im) (* (sin re) (+ (sqrt (* (/ 0.5 (exp im)) (/ 0.5 (exp im)))) (* 0.5 (exp im))))) * * * * [misc]progress: [ 15 / 94 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (exp im) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (exp im) * [misc]simplify: Simplified (2 2 1 2) to (λ (re im) (* (sin re) (+ (/ 0.5 (exp im)) (* 0.5 (exp im))))) * * * * [misc]progress: [ 17 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt 0.5) (sqrt 0.5)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to 0.5 * [misc]simplify: Simplified (2 2 1 1) to (λ (re im) (* (sin re) (+ (/ 0.5 (* (sqrt (exp im)) (sqrt (exp im)))) (* 0.5 (exp im))))) * [enter]simplify: Simplifying (* (sqrt (exp im)) (sqrt (exp im))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (exp im) * [misc]simplify: Simplified (2 2 1 2) to (λ (re im) (* (sin re) (+ (/ 0.5 (exp im)) (* 0.5 (exp im))))) * * * * [misc]progress: [ 18 / 94 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (/ 0.5 (exp im)))) * * [misc]simplify: iters left: 5 (6 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (/ 0.5 (exp im)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (re im) (* (sin re) (+ (* (* (sqrt (/ 0.5 (exp im))) (* (cbrt (sqrt (/ 0.5 (exp im)))) (cbrt (sqrt (/ 0.5 (exp im)))))) (cbrt (sqrt (/ 0.5 (exp im))))) (* 0.5 (exp im))))) * * * * [misc]progress: [ 20 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (/ 0.5 (exp im)))) * * [misc]simplify: iters left: 5 (6 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (/ 0.5 (exp im)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (re im) (* (sin re) (+ (* (* (sqrt (/ 0.5 (exp im))) (sqrt (* (cbrt (/ 0.5 (exp im))) (cbrt (/ 0.5 (exp im)))))) (sqrt (cbrt (/ 0.5 (exp im))))) (* 0.5 (exp im))))) * * * * [misc]progress: [ 21 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (/ 0.5 (exp im)))) * * [misc]simplify: iters left: 5 (6 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (/ 0.5 (exp im)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (re im) (* (sin re) (+ (* (* (sqrt (/ 0.5 (exp im))) (sqrt (sqrt (/ 0.5 (exp im))))) (sqrt (sqrt (/ 0.5 (exp im))))) (* 0.5 (exp im))))) * * * * [misc]progress: [ 22 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 0.5 (exp im))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (sqrt (/ 0.5 (exp im))) * [misc]simplify: Simplified (2 2 1 2) to (λ (re im) (* (sin re) (+ (* (* (sqrt (/ 0.5 (exp im))) (sqrt 1)) (sqrt (/ 0.5 (exp im)))) (* 0.5 (exp im))))) * * * * [misc]progress: [ 23 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 1 (exp im))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [exit]simplify: Simplified to (sqrt (exp (- im))) * [misc]simplify: Simplified (2 2 1 2) to (λ (re im) (* (sin re) (+ (* (* (sqrt (/ 0.5 (exp im))) (sqrt 0.5)) (sqrt (exp (- im)))) (* 0.5 (exp im))))) * * * * [misc]progress: [ 24 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (/ 0.5 (exp im)))) * * [misc]simplify: iters left: 5 (6 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (/ 0.5 (exp im)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (re im) (* (sin re) (+ (* (* (sqrt (/ 0.5 (exp im))) (sqrt (sqrt (/ 0.5 (exp im))))) (sqrt (sqrt (/ 0.5 (exp im))))) (* 0.5 (exp im))))) * * * * [misc]progress: [ 25 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 0.5 (exp im))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (sqrt (/ 0.5 (exp im))) * [misc]simplify: Simplified (2 2 1 2) to (λ (re im) (* (sin re) (+ (* (* (sqrt (/ 0.5 (exp im))) 1) (sqrt (/ 0.5 (exp im)))) (* 0.5 (exp im))))) * * * * [misc]progress: [ 26 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (/ 0.5 (exp im)))) (cbrt (sqrt (/ 0.5 (exp im))))) * * [misc]simplify: iters left: 6 (7 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (/ 0.5 (exp im)))) (cbrt (sqrt (/ 0.5 (exp im))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (re im) (* (sin re) (+ (* (* (cbrt (sqrt (/ 0.5 (exp im)))) (cbrt (sqrt (/ 0.5 (exp im))))) (* (cbrt (sqrt (/ 0.5 (exp im)))) (sqrt (/ 0.5 (exp im))))) (* 0.5 (exp im))))) * * * * [misc]progress: [ 27 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (/ 0.5 (exp im))) (cbrt (/ 0.5 (exp im))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (fabs (cbrt (/ 0.5 (exp im)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (re im) (* (sin re) (+ (* (fabs (cbrt (/ 0.5 (exp im)))) (* (sqrt (cbrt (/ 0.5 (exp im)))) (sqrt (/ 0.5 (exp im))))) (* 0.5 (exp im))))) * * * * [misc]progress: [ 28 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (/ 0.5 (exp im)))) * * [misc]simplify: iters left: 5 (6 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (/ 0.5 (exp im)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (re im) (* (sin re) (+ (* (sqrt (sqrt (/ 0.5 (exp im)))) (* (sqrt (sqrt (/ 0.5 (exp im)))) (sqrt (/ 0.5 (exp im))))) (* 0.5 (exp im))))) * * * * [misc]progress: [ 29 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [misc]simplify: Simplified (2 2 1 1) to (λ (re im) (* (sin re) (+ (* (sqrt 1) (* (sqrt (/ 0.5 (exp im))) (sqrt (/ 0.5 (exp im))))) (* 0.5 (exp im))))) * * * * [misc]progress: [ 30 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 0.5) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 0.5) * [misc]simplify: Simplified (2 2 1 1) to (λ (re im) (* (sin re) (+ (* (sqrt 0.5) (* (sqrt (/ 1 (exp im))) (sqrt (/ 0.5 (exp im))))) (* 0.5 (exp im))))) * * * * [misc]progress: [ 31 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (/ 0.5 (exp im)))) * * [misc]simplify: iters left: 5 (6 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (/ 0.5 (exp im)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (re im) (* (sin re) (+ (* (sqrt (sqrt (/ 0.5 (exp im)))) (* (sqrt (sqrt (/ 0.5 (exp im)))) (sqrt (/ 0.5 (exp im))))) (* 0.5 (exp im))))) * * * * [misc]progress: [ 32 / 94 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (exp im)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (exp im)) * [misc]simplify: Simplified (2 2 1 2) to (λ (re im) (* (sin re) (+ (/ (* (sqrt (/ 0.5 (exp im))) (sqrt 0.5)) (sqrt (exp im))) (* 0.5 (exp im))))) * * * * [misc]progress: [ 34 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt 0.5) (sqrt (/ 0.5 (exp im)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (* (sqrt (/ 0.5 (exp im))) (sqrt 0.5)) * [misc]simplify: Simplified (2 2 1 1) to (λ (re im) (* (sin re) (+ (/ (* (sqrt (/ 0.5 (exp im))) (sqrt 0.5)) (sqrt (exp im))) (* 0.5 (exp im))))) * * * * [misc]progress: [ 35 / 94 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 94 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 94 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 94 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 94 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 94 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 94 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 94 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 94 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 94 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 94 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (exp im)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (cbrt (exp im)) * [misc]simplify: Simplified (2 2 1 2 1 2) to (λ (re im) (* (sin re) (+ (* (sqrt (/ 0.5 (exp im))) (sqrt (/ (/ 0.5 (* (cbrt (exp im)) (cbrt (exp im)))) (cbrt (exp im))))) (* 0.5 (exp im))))) * * * * [misc]progress: [ 47 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (exp im)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (exp im)) * [misc]simplify: Simplified (2 2 1 2 1 2) to (λ (re im) (* (sin re) (+ (* (sqrt (/ 0.5 (exp im))) (sqrt (/ (/ 0.5 (sqrt (exp im))) (sqrt (exp im))))) (* 0.5 (exp im))))) * * * * [misc]progress: [ 48 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (exp im) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (exp im) * [misc]simplify: Simplified (2 2 1 2 1 2) to (λ (re im) (* (sin re) (+ (* (sqrt (/ 0.5 (exp im))) (sqrt (/ (/ 0.5 1) (exp im)))) (* 0.5 (exp im))))) * * * * [misc]progress: [ 49 / 94 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 94 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 94 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 94 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 94 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 94 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 94 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 94 ] simplifiying candidate # * * * * [misc]progress: [ 57 / 94 ] simplifiying candidate # * * * * [misc]progress: [ 58 / 94 ] simplifiying candidate # * * * * [misc]progress: [ 59 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (exp im)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (cbrt (exp im)) * [misc]simplify: Simplified (2 2 1 1 1 2) to (λ (re im) (* (sin re) (+ (* (sqrt (/ (/ 0.5 (* (cbrt (exp im)) (cbrt (exp im)))) (cbrt (exp im)))) (sqrt (/ 0.5 (exp im)))) (* 0.5 (exp im))))) * * * * [misc]progress: [ 60 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (exp im)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (exp im)) * [misc]simplify: Simplified (2 2 1 1 1 2) to (λ (re im) (* (sin re) (+ (* (sqrt (/ (/ 0.5 (sqrt (exp im))) (sqrt (exp im)))) (sqrt (/ 0.5 (exp im)))) (* 0.5 (exp im))))) * * * * [misc]progress: [ 61 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (exp im) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (exp im) * [misc]simplify: Simplified (2 2 1 1 1 2) to (λ (re im) (* (sin re) (+ (* (sqrt (/ (/ 0.5 1) (exp im))) (sqrt (/ 0.5 (exp im)))) (* 0.5 (exp im))))) * * * * [misc]progress: [ 62 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin re) (+ (* (sqrt (/ 0.5 (exp im))) (sqrt (/ 0.5 (exp im)))) (* 0.5 (exp im)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * [exit]simplify: Simplified to (* (sin re) (+ (/ 0.5 (exp im)) (* (exp im) 0.5))) * [misc]simplify: Simplified (2 1) to (λ (re im) (pow (* (sin re) (+ (/ 0.5 (exp im)) (* (exp im) 0.5))) 1)) * * * * [misc]progress: [ 63 / 94 ] simplifiying candidate # * * * * [misc]progress: [ 64 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (sin re)) (log (+ (* (sqrt (/ 0.5 (exp im))) (sqrt (/ 0.5 (exp im)))) (* 0.5 (exp im))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (+ (log (sin re)) (log (+ (/ 0.5 (exp im)) (* 0.5 (exp im))))) * [misc]simplify: Simplified (2 1) to (λ (re im) (exp (+ (log (sin re)) (log (+ (/ 0.5 (exp im)) (* 0.5 (exp im))))))) * * * * [misc]progress: [ 65 / 94 ] simplifiying candidate # * * * * [misc]progress: [ 66 / 94 ] simplifiying candidate # * * * * [misc]progress: [ 67 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (sin re) (sin re)) (sin re)) (* (* (+ (* (sqrt (/ 0.5 (exp im))) (sqrt (/ 0.5 (exp im)))) (* 0.5 (exp im))) (+ (* (sqrt (/ 0.5 (exp im))) (sqrt (/ 0.5 (exp im)))) (* 0.5 (exp im)))) (+ (* (sqrt (/ 0.5 (exp im))) (sqrt (/ 0.5 (exp im)))) (* 0.5 (exp im))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (186 enodes) * [exit]simplify: Simplified to (* (* (pow (sin re) 3) (+ (* (exp im) 0.5) (/ 0.5 (exp im)))) (* (+ (* (exp im) 0.5) (/ 0.5 (exp im))) (+ (* (exp im) 0.5) (/ 0.5 (exp im))))) * [misc]simplify: Simplified (2 1) to (λ (re im) (cbrt (* (* (pow (sin re) 3) (+ (* (exp im) 0.5) (/ 0.5 (exp im)))) (* (+ (* (exp im) 0.5) (/ 0.5 (exp im))) (+ (* (exp im) 0.5) (/ 0.5 (exp im))))))) * * * * [misc]progress: [ 68 / 94 ] simplifiying candidate # * * * * [misc]progress: [ 69 / 94 ] simplifiying candidate # * * * * [misc]progress: [ 70 / 94 ] simplifiying candidate # * * * * [misc]progress: [ 71 / 94 ] simplifiying candidate # * * * * [misc]progress: [ 72 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin re) (* 0.5 (exp im))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * [exit]simplify: Simplified to (* (* (sin re) (exp im)) 0.5) * [misc]simplify: Simplified (2 2) to (λ (re im) (+ (* (sin re) (* (sqrt (/ 0.5 (exp im))) (sqrt (/ 0.5 (exp im))))) (* (* (sin re) (exp im)) 0.5))) * * * * [misc]progress: [ 73 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* 0.5 (exp im)) (sin re)) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * [exit]simplify: Simplified to (* (* 0.5 (exp im)) (sin re)) * [misc]simplify: Simplified (2 2) to (λ (re im) (+ (* (* (sqrt (/ 0.5 (exp im))) (sqrt (/ 0.5 (exp im)))) (sin re)) (* (* 0.5 (exp im)) (sin re)))) * * * * [misc]progress: [ 74 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (* (sqrt (/ 0.5 (exp im))) (sqrt (/ 0.5 (exp im)))) (* 0.5 (exp im)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (cbrt (+ (/ 0.5 (exp im)) (* 0.5 (exp im)))) * [misc]simplify: Simplified (2 2) to (λ (re im) (* (* (sin re) (* (cbrt (+ (* (sqrt (/ 0.5 (exp im))) (sqrt (/ 0.5 (exp im)))) (* 0.5 (exp im)))) (cbrt (+ (* (sqrt (/ 0.5 (exp im))) (sqrt (/ 0.5 (exp im)))) (* 0.5 (exp im)))))) (cbrt (+ (/ 0.5 (exp im)) (* 0.5 (exp im)))))) * * * * [misc]progress: [ 75 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (* (sqrt (/ 0.5 (exp im))) (sqrt (/ 0.5 (exp im)))) (* 0.5 (exp im)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (sqrt (+ (/ 0.5 (exp im)) (* 0.5 (exp im)))) * [misc]simplify: Simplified (2 2) to (λ (re im) (* (* (sin re) (sqrt (+ (* (sqrt (/ 0.5 (exp im))) (sqrt (/ 0.5 (exp im)))) (* 0.5 (exp im))))) (sqrt (+ (/ 0.5 (exp im)) (* 0.5 (exp im)))))) * * * * [misc]progress: [ 76 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (sqrt (/ 0.5 (exp im))) (sqrt (/ 0.5 (exp im)))) (* 0.5 (exp im))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (+ (/ 0.5 (exp im)) (* 0.5 (exp im))) * [misc]simplify: Simplified (2 2) to (λ (re im) (* (* (sin re) 1) (+ (/ 0.5 (exp im)) (* 0.5 (exp im))))) * * * * [misc]progress: [ 77 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sin re)) (cbrt (sin re))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (* (cbrt (sin re)) (cbrt (sin re))) * [misc]simplify: Simplified (2 1) to (λ (re im) (* (* (cbrt (sin re)) (cbrt (sin re))) (* (cbrt (sin re)) (+ (* (sqrt (/ 0.5 (exp im))) (sqrt (/ 0.5 (exp im)))) (* 0.5 (exp im)))))) * * * * [misc]progress: [ 78 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sin re)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (sin re)) * [misc]simplify: Simplified (2 1) to (λ (re im) (* (sqrt (sin re)) (* (sqrt (sin re)) (+ (* (sqrt (/ 0.5 (exp im))) (sqrt (/ 0.5 (exp im)))) (* 0.5 (exp im)))))) * * * * [misc]progress: [ 79 / 94 ] simplifiying candidate # * * * * [misc]progress: [ 80 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqrt (/ 0.5 (exp im))) (sqrt (/ 0.5 (exp im)))) (* (sqrt (/ 0.5 (exp im))) (sqrt (/ 0.5 (exp im))))) (- (* (* 0.5 (exp im)) (* 0.5 (exp im))) (* (* (sqrt (/ 0.5 (exp im))) (sqrt (/ 0.5 (exp im)))) (* 0.5 (exp im))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (92 enodes) * * [misc]simplify: iters left: 3 (214 enodes) * * [misc]simplify: iters left: 2 (333 enodes) * * [misc]simplify: iters left: 1 (470 enodes) * [exit]simplify: Simplified to (- (* (/ 0.5 (exp im)) (/ 0.5 (exp im))) (* (* 0.5 (exp im)) (- (/ 0.5 (exp im)) (* 0.5 (exp im))))) * [misc]simplify: Simplified (2 2) to (λ (re im) (/ (* (sin re) (+ (pow (* (sqrt (/ 0.5 (exp im))) (sqrt (/ 0.5 (exp im)))) 3) (pow (* 0.5 (exp im)) 3))) (- (* (/ 0.5 (exp im)) (/ 0.5 (exp im))) (* (* 0.5 (exp im)) (- (/ 0.5 (exp im)) (* 0.5 (exp im))))))) * * * * [misc]progress: [ 81 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (sqrt (/ 0.5 (exp im))) (sqrt (/ 0.5 (exp im)))) (* 0.5 (exp im))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (- (/ 0.5 (exp im)) (* 0.5 (exp im))) * [misc]simplify: Simplified (2 2) to (λ (re im) (/ (* (sin re) (- (* (* (sqrt (/ 0.5 (exp im))) (sqrt (/ 0.5 (exp im)))) (* (sqrt (/ 0.5 (exp im))) (sqrt (/ 0.5 (exp im))))) (* (* 0.5 (exp im)) (* 0.5 (exp im))))) (- (/ 0.5 (exp im)) (* 0.5 (exp im))))) * * * * [misc]progress: [ 82 / 94 ] simplifiying candidate # * * * * [misc]progress: [ 83 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 0.25 (pow im 2)) (pow (sqrt 0.5) 2)) (* 0.5 im)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (137 enodes) * [exit]simplify: Simplified to (+ (* (* im im) 0.25) (- 0.5 (* 0.5 im))) * [misc]simplify: Simplified (2 2 1) to (λ (re im) (* (sin re) (+ (+ (* (* im im) 0.25) (- 0.5 (* 0.5 im))) (* 0.5 (exp im))))) * * * * [misc]progress: [ 84 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (sqrt 0.5) 2) (exp im)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ 0.5 (exp im)) * [misc]simplify: Simplified (2 2 1) to (λ (re im) (* (sin re) (+ (/ 0.5 (exp im)) (* 0.5 (exp im))))) * * * * [misc]progress: [ 85 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (sqrt 0.5) 2) (exp im)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ 0.5 (exp im)) * [misc]simplify: Simplified (2 2 1) to (λ (re im) (* (sin re) (+ (/ 0.5 (exp im)) (* 0.5 (exp im))))) * * * * [misc]progress: [ 86 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 0.25 (pow im 2)) 0.5) (* 0.5 im)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (93 enodes) * [exit]simplify: Simplified to (+ (- 0.5 (* 0.5 im)) (* (* 0.25 im) im)) * [misc]simplify: Simplified (2 2 1 2 1) to (λ (re im) (* (sin re) (+ (* (sqrt (/ 0.5 (exp im))) (sqrt (+ (- 0.5 (* 0.5 im)) (* (* 0.25 im) im)))) (* 0.5 (exp im))))) * * * * [misc]progress: [ 87 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 0.5 (exp im)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (/ 0.5 (exp im)) * [misc]simplify: Simplified (2 2 1 2 1) to (λ (re im) (* (sin re) (+ (* (sqrt (/ 0.5 (exp im))) (sqrt (/ 0.5 (exp im)))) (* 0.5 (exp im))))) * * * * [misc]progress: [ 88 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 0.5 (exp im)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (/ 0.5 (exp im)) * [misc]simplify: Simplified (2 2 1 2 1) to (λ (re im) (* (sin re) (+ (* (sqrt (/ 0.5 (exp im))) (sqrt (/ 0.5 (exp im)))) (* 0.5 (exp im))))) * * * * [misc]progress: [ 89 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 0.25 (pow im 2)) 0.5) (* 0.5 im)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (93 enodes) * [exit]simplify: Simplified to (+ (- 0.5 (* 0.5 im)) (* (* 0.25 im) im)) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (re im) (* (sin re) (+ (* (sqrt (+ (- 0.5 (* 0.5 im)) (* (* 0.25 im) im))) (sqrt (/ 0.5 (exp im)))) (* 0.5 (exp im))))) * * * * [misc]progress: [ 90 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 0.5 (exp im)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (/ 0.5 (exp im)) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (re im) (* (sin re) (+ (* (sqrt (/ 0.5 (exp im))) (sqrt (/ 0.5 (exp im)))) (* 0.5 (exp im))))) * * * * [misc]progress: [ 91 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 0.5 (exp im)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (/ 0.5 (exp im)) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (re im) (* (sin re) (+ (* (sqrt (/ 0.5 (exp im))) (sqrt (/ 0.5 (exp im)))) (* 0.5 (exp im))))) * * * * [misc]progress: [ 92 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 0.5 (* re im)) (+ (* 0.5 re) (* re (pow (sqrt 0.5) 2)))) (+ (* 1/6 (* (pow re 3) (pow (sqrt 0.5) 2))) (+ (* 0.08333333333333333 (pow re 3)) (* re (* (pow (sqrt 0.5) 2) im))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (155 enodes) * [exit]simplify: Simplified to (- (+ (+ (* (* im re) 0.5) (+ (* 0.5 re) (* 0.5 re))) (* (- 1/6) (* (* re re) (* 0.5 re)))) (+ (* (* re re) (* 0.08333333333333333 re)) (* (* im re) 0.5))) * [misc]simplify: Simplified (2) to (λ (re im) (- (+ (+ (* (* im re) 0.5) (+ (* 0.5 re) (* 0.5 re))) (* (- 1/6) (* (* re re) (* 0.5 re)))) (+ (* (* re re) (* 0.08333333333333333 re)) (* (* im re) 0.5)))) * * * * [misc]progress: [ 93 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* 0.5 (exp im)) (/ (pow (sqrt 0.5) 2) (exp im))) (sin re)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * [exit]simplify: Simplified to (* (+ (* 0.5 (exp im)) (/ 0.5 (exp im))) (sin re)) * [misc]simplify: Simplified (2) to (λ (re im) (* (+ (* 0.5 (exp im)) (/ 0.5 (exp im))) (sin re))) * * * * [misc]progress: [ 94 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* 0.5 (exp im)) (/ (pow (sqrt 0.5) 2) (exp im))) (sin re)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * [exit]simplify: Simplified to (* (+ (* 0.5 (exp im)) (/ 0.5 (exp im))) (sin re)) * [misc]simplify: Simplified (2) to (λ (re im) (* (+ (* 0.5 (exp im)) (/ 0.5 (exp im))) (sin re))) * * * [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 (* (* (sin re) (sqrt (+ (/ 0.5 (exp im)) (* 0.5 (exp im))))) (sqrt (+ (/ 0.5 (exp im)) (* 0.5 (exp im))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (* (* (sqrt (+ (/ 0.5 (exp im)) (* (exp im) 0.5))) (sin re)) (sqrt (+ (/ 0.5 (exp im)) (* (exp im) 0.5)))) * * * * [misc]points: Sampling 8000 additional inputs, on iter 0 have 0 / 8000 * * * * [misc]points: Computing exacts on every 500 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 250 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 125 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 62 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 31 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 15 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 7 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 3 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts for 8000 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 3951 additional inputs, on iter 1 have 4049 / 8000 * * * * [misc]points: Computing exacts on every 246 of 3951 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 123 of 3951 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 61 of 3951 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 30 of 3951 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 15 of 3951 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 7 of 3951 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 3 of 3951 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts for 3951 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 1937 additional inputs, on iter 2 have 6063 / 8000 * * * * [misc]points: Computing exacts on every 121 of 1937 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 60 of 1937 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 30 of 1937 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 15 of 1937 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 7 of 1937 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 3 of 1937 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts for 1937 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 959 additional inputs, on iter 3 have 7041 / 8000 * * * * [misc]points: Computing exacts on every 59 of 959 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 29 of 959 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 14 of 959 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 7 of 959 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 3 of 959 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts for 959 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 457 additional inputs, on iter 4 have 7543 / 8000 * * * * [misc]points: Computing exacts on every 28 of 457 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 14 of 457 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 7 of 457 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 3 of 457 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts for 457 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 215 additional inputs, on iter 5 have 7785 / 8000 * * * * [misc]points: Computing exacts on every 13 of 215 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 6 of 215 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 3 of 215 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts for 215 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 106 additional inputs, on iter 6 have 7894 / 8000 * * * * [misc]points: Computing exacts on every 6 of 106 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 3 of 106 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts for 106 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 57 additional inputs, on iter 7 have 7943 / 8000 * * * * [misc]points: Computing exacts on every 3 of 57 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts for 57 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 30 additional inputs, on iter 8 have 7970 / 8000 * * * * [misc]points: Computing exacts for 30 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 13 additional inputs, on iter 9 have 7987 / 8000 * * * * [misc]points: Computing exacts for 13 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 6 additional inputs, on iter 10 have 7994 / 8000 * * * * [misc]points: Computing exacts for 6 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 11 have 7997 / 8000 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 12 have 7997 / 8000 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 13 have 7998 / 8000 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 14 have 7999 / 8000 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 8002 points with exact outputs