28.716 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.444 * * * [progress]: [2/2] Setting up program. 0.448 * [progress]: [Phase 2 of 3] Improving. 0.448 * [simplify]: Simplifying using # : (* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im))) 0.514 * * [simplify]: iteration 0 : 5123 enodes (cost 11 ) 0.514 * [simplify]: Simplified to: (* 0.5 (* (cos re) (+ (exp (neg im)) (exp im)))) 0.518 * * [progress]: iteration 1 / 4 0.518 * * * [progress]: picking best candidate 0.522 * * * * [pick]: Picked # 0.522 * * * [progress]: localizing error 0.531 * * * [progress]: generating rewritten candidates 0.531 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.540 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.546 * * * [progress]: generating series expansions 0.546 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.546 * [approximate]: Taking taylor expansion of (* 0.5 (* (+ (exp im) (exp (neg im))) (cos re))) in (re im) around 0 0.546 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp im) (exp (neg im))) (cos re))) in im 0.546 * [taylor]: Taking taylor expansion of 0.5 in im 0.546 * [taylor]: Taking taylor expansion of (* (+ (exp im) (exp (neg im))) (cos re)) in im 0.546 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (neg im))) in im 0.546 * [taylor]: Taking taylor expansion of (exp im) in im 0.546 * [taylor]: Taking taylor expansion of im in im 0.546 * [taylor]: Taking taylor expansion of (exp (neg im)) in im 0.546 * [taylor]: Taking taylor expansion of (neg im) in im 0.546 * [taylor]: Taking taylor expansion of im in im 0.546 * [taylor]: Taking taylor expansion of (cos re) in im 0.546 * [taylor]: Taking taylor expansion of re in im 0.546 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp im) (exp (neg im))) (cos re))) in re 0.546 * [taylor]: Taking taylor expansion of 0.5 in re 0.547 * [taylor]: Taking taylor expansion of (* (+ (exp im) (exp (neg im))) (cos re)) in re 0.547 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (neg im))) in re 0.547 * [taylor]: Taking taylor expansion of (exp im) in re 0.547 * [taylor]: Taking taylor expansion of im in re 0.547 * [taylor]: Taking taylor expansion of (exp (neg im)) in re 0.547 * [taylor]: Taking taylor expansion of (neg im) in re 0.547 * [taylor]: Taking taylor expansion of im in re 0.547 * [taylor]: Taking taylor expansion of (cos re) in re 0.547 * [taylor]: Taking taylor expansion of re in re 0.547 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp im) (exp (neg im))) (cos re))) in re 0.547 * [taylor]: Taking taylor expansion of 0.5 in re 0.547 * [taylor]: Taking taylor expansion of (* (+ (exp im) (exp (neg im))) (cos re)) in re 0.547 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (neg im))) in re 0.547 * [taylor]: Taking taylor expansion of (exp im) in re 0.547 * [taylor]: Taking taylor expansion of im in re 0.547 * [taylor]: Taking taylor expansion of (exp (neg im)) in re 0.547 * [taylor]: Taking taylor expansion of (neg im) in re 0.547 * [taylor]: Taking taylor expansion of im in re 0.547 * [taylor]: Taking taylor expansion of (cos re) in re 0.547 * [taylor]: Taking taylor expansion of re in re 0.547 * [taylor]: Taking taylor expansion of (* 0.5 (+ (exp im) (exp (neg im)))) in im 0.547 * [taylor]: Taking taylor expansion of 0.5 in im 0.547 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (neg im))) in im 0.547 * [taylor]: Taking taylor expansion of (exp im) in im 0.547 * [taylor]: Taking taylor expansion of im in im 0.547 * [taylor]: Taking taylor expansion of (exp (neg im)) in im 0.547 * [taylor]: Taking taylor expansion of (neg im) in im 0.547 * [taylor]: Taking taylor expansion of im in im 0.548 * [taylor]: Taking taylor expansion of 0 in im 0.548 * [taylor]: Taking taylor expansion of (neg (+ (* 0.25 (exp im)) (* 0.25 (exp (neg im))))) in im 0.548 * [taylor]: Taking taylor expansion of (+ (* 0.25 (exp im)) (* 0.25 (exp (neg im)))) in im 0.548 * [taylor]: Taking taylor expansion of (* 0.25 (exp im)) in im 0.548 * [taylor]: Taking taylor expansion of 0.25 in im 0.548 * [taylor]: Taking taylor expansion of (exp im) in im 0.548 * [taylor]: Taking taylor expansion of im in im 0.548 * [taylor]: Taking taylor expansion of (* 0.25 (exp (neg im))) in im 0.548 * [taylor]: Taking taylor expansion of 0.25 in im 0.548 * [taylor]: Taking taylor expansion of (exp (neg im)) in im 0.549 * [taylor]: Taking taylor expansion of (neg im) in im 0.549 * [taylor]: Taking taylor expansion of im in im 0.549 * [approximate]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (neg (/ 1 im))) (exp (/ 1 im))))) in (re im) around 0 0.549 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (neg (/ 1 im))) (exp (/ 1 im))))) in im 0.549 * [taylor]: Taking taylor expansion of 0.5 in im 0.549 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (neg (/ 1 im))) (exp (/ 1 im)))) in im 0.549 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.549 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.549 * [taylor]: Taking taylor expansion of re in im 0.549 * [taylor]: Taking taylor expansion of (+ (exp (neg (/ 1 im))) (exp (/ 1 im))) in im 0.549 * [taylor]: Taking taylor expansion of (exp (neg (/ 1 im))) in im 0.549 * [taylor]: Taking taylor expansion of (neg (/ 1 im)) in im 0.549 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.549 * [taylor]: Taking taylor expansion of im in im 0.549 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.549 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.549 * [taylor]: Taking taylor expansion of im in im 0.550 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (neg (/ 1 im))) (exp (/ 1 im))))) in re 0.550 * [taylor]: Taking taylor expansion of 0.5 in re 0.550 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (neg (/ 1 im))) (exp (/ 1 im)))) in re 0.550 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.550 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.550 * [taylor]: Taking taylor expansion of re in re 0.550 * [taylor]: Taking taylor expansion of (+ (exp (neg (/ 1 im))) (exp (/ 1 im))) in re 0.550 * [taylor]: Taking taylor expansion of (exp (neg (/ 1 im))) in re 0.550 * [taylor]: Taking taylor expansion of (neg (/ 1 im)) in re 0.550 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.550 * [taylor]: Taking taylor expansion of im in re 0.550 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.550 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.550 * [taylor]: Taking taylor expansion of im in re 0.550 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (neg (/ 1 im))) (exp (/ 1 im))))) in re 0.550 * [taylor]: Taking taylor expansion of 0.5 in re 0.550 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (neg (/ 1 im))) (exp (/ 1 im)))) in re 0.550 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.550 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.550 * [taylor]: Taking taylor expansion of re in re 0.550 * [taylor]: Taking taylor expansion of (+ (exp (neg (/ 1 im))) (exp (/ 1 im))) in re 0.550 * [taylor]: Taking taylor expansion of (exp (neg (/ 1 im))) in re 0.550 * [taylor]: Taking taylor expansion of (neg (/ 1 im)) in re 0.550 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.550 * [taylor]: Taking taylor expansion of im in re 0.550 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.550 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.550 * [taylor]: Taking taylor expansion of im in re 0.551 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (neg (/ 1 im))) (exp (/ 1 im))))) in im 0.551 * [taylor]: Taking taylor expansion of 0.5 in im 0.551 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (neg (/ 1 im))) (exp (/ 1 im)))) in im 0.551 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.551 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.551 * [taylor]: Taking taylor expansion of re in im 0.551 * [taylor]: Taking taylor expansion of (+ (exp (neg (/ 1 im))) (exp (/ 1 im))) in im 0.551 * [taylor]: Taking taylor expansion of (exp (neg (/ 1 im))) in im 0.551 * [taylor]: Taking taylor expansion of (neg (/ 1 im)) in im 0.551 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.551 * [taylor]: Taking taylor expansion of im in im 0.551 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.551 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.551 * [taylor]: Taking taylor expansion of im in im 0.552 * [taylor]: Taking taylor expansion of 0 in im 0.553 * [taylor]: Taking taylor expansion of 0 in im 0.554 * [taylor]: Taking taylor expansion of 0 in im 0.554 * [approximate]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in (re im) around 0 0.554 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in im 0.554 * [taylor]: Taking taylor expansion of 0.5 in im 0.554 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in im 0.554 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.554 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.554 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.554 * [taylor]: Taking taylor expansion of -1 in im 0.554 * [taylor]: Taking taylor expansion of im in im 0.555 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.555 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.555 * [taylor]: Taking taylor expansion of im in im 0.555 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.555 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.555 * [taylor]: Taking taylor expansion of -1 in im 0.555 * [taylor]: Taking taylor expansion of re in im 0.555 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in re 0.555 * [taylor]: Taking taylor expansion of 0.5 in re 0.555 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in re 0.555 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re 0.555 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.555 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.555 * [taylor]: Taking taylor expansion of -1 in re 0.555 * [taylor]: Taking taylor expansion of im in re 0.555 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.555 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.555 * [taylor]: Taking taylor expansion of im in re 0.555 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.555 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.555 * [taylor]: Taking taylor expansion of -1 in re 0.555 * [taylor]: Taking taylor expansion of re in re 0.555 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in re 0.555 * [taylor]: Taking taylor expansion of 0.5 in re 0.555 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in re 0.555 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re 0.555 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.555 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.555 * [taylor]: Taking taylor expansion of -1 in re 0.555 * [taylor]: Taking taylor expansion of im in re 0.555 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.555 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.555 * [taylor]: Taking taylor expansion of im in re 0.555 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.555 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.555 * [taylor]: Taking taylor expansion of -1 in re 0.555 * [taylor]: Taking taylor expansion of re in re 0.556 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in im 0.556 * [taylor]: Taking taylor expansion of 0.5 in im 0.556 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in im 0.556 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.556 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.556 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.556 * [taylor]: Taking taylor expansion of -1 in im 0.556 * [taylor]: Taking taylor expansion of im in im 0.556 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.556 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.556 * [taylor]: Taking taylor expansion of im in im 0.556 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.556 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.556 * [taylor]: Taking taylor expansion of -1 in im 0.556 * [taylor]: Taking taylor expansion of re in im 0.557 * [taylor]: Taking taylor expansion of 0 in im 0.558 * [taylor]: Taking taylor expansion of 0 in im 0.559 * [taylor]: Taking taylor expansion of 0 in im 0.559 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.559 * [approximate]: Taking taylor expansion of (+ (exp im) (exp (neg im))) in (im) around 0 0.559 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (neg im))) in im 0.559 * [taylor]: Taking taylor expansion of (exp im) in im 0.559 * [taylor]: Taking taylor expansion of im in im 0.559 * [taylor]: Taking taylor expansion of (exp (neg im)) in im 0.559 * [taylor]: Taking taylor expansion of (neg im) in im 0.559 * [taylor]: Taking taylor expansion of im in im 0.559 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (neg im))) in im 0.559 * [taylor]: Taking taylor expansion of (exp im) in im 0.559 * [taylor]: Taking taylor expansion of im in im 0.559 * [taylor]: Taking taylor expansion of (exp (neg im)) in im 0.559 * [taylor]: Taking taylor expansion of (neg im) in im 0.559 * [taylor]: Taking taylor expansion of im in im 0.561 * [approximate]: Taking taylor expansion of (+ (exp (neg (/ 1 im))) (exp (/ 1 im))) in (im) around 0 0.561 * [taylor]: Taking taylor expansion of (+ (exp (neg (/ 1 im))) (exp (/ 1 im))) in im 0.561 * [taylor]: Taking taylor expansion of (exp (neg (/ 1 im))) in im 0.561 * [taylor]: Taking taylor expansion of (neg (/ 1 im)) in im 0.561 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.561 * [taylor]: Taking taylor expansion of im in im 0.561 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.561 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.561 * [taylor]: Taking taylor expansion of im in im 0.561 * [taylor]: Taking taylor expansion of (+ (exp (neg (/ 1 im))) (exp (/ 1 im))) in im 0.561 * [taylor]: Taking taylor expansion of (exp (neg (/ 1 im))) in im 0.561 * [taylor]: Taking taylor expansion of (neg (/ 1 im)) in im 0.561 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.561 * [taylor]: Taking taylor expansion of im in im 0.561 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.561 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.561 * [taylor]: Taking taylor expansion of im in im 0.562 * [approximate]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in (im) around 0 0.562 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.562 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.562 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.562 * [taylor]: Taking taylor expansion of -1 in im 0.562 * [taylor]: Taking taylor expansion of im in im 0.562 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.562 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.562 * [taylor]: Taking taylor expansion of im in im 0.562 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.562 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.562 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.562 * [taylor]: Taking taylor expansion of -1 in im 0.562 * [taylor]: Taking taylor expansion of im in im 0.562 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.562 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.562 * [taylor]: Taking taylor expansion of im in im 0.562 * * * [progress]: simplifying candidates 0.563 * [simplify]: Simplifying using # : (* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im))) (* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im))) (+ (+ (log 0.5) (log (cos re))) (log (+ (exp (neg im)) (exp im)))) (+ (log (* 0.5 (cos re))) (log (+ (exp (neg im)) (exp im)))) (log (* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im)))) (exp (* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im)))) (* (* (* (* 0.5 0.5) 0.5) (* (* (cos re) (cos re)) (cos re))) (* (* (+ (exp (neg im)) (exp im)) (+ (exp (neg im)) (exp im))) (+ (exp (neg im)) (exp im)))) (* (* (* (* 0.5 (cos re)) (* 0.5 (cos re))) (* 0.5 (cos re))) (* (* (+ (exp (neg im)) (exp im)) (+ (exp (neg im)) (exp im))) (+ (exp (neg im)) (exp im)))) (* (cbrt (* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im)))) (cbrt (* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im))))) (cbrt (* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im)))) (* (* (* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im))) (* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im)))) (* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im)))) (sqrt (* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im)))) (sqrt (* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im)))) (* (* 0.5 (cos re)) (exp (neg im))) (* (* 0.5 (cos re)) (exp im)) (* (exp (neg im)) (* 0.5 (cos re))) (* (exp im) (* 0.5 (cos re))) (* (* 0.5 (cos re)) (* (cbrt (+ (exp (neg im)) (exp im))) (cbrt (+ (exp (neg im)) (exp im))))) (* (* 0.5 (cos re)) (sqrt (+ (exp (neg im)) (exp im)))) (* (* 0.5 (cos re)) 1) (* (* 0.5 (cos re)) 1) (* (cos re) (+ (exp (neg im)) (exp im))) (* (* 0.5 (cos re)) (+ (pow (exp (neg im)) 3) (pow (exp im) 3))) (* (* 0.5 (cos re)) (- (* (exp (neg im)) (exp (neg im))) (* (exp im) (exp im)))) (* (exp (exp (neg im))) (exp (exp im))) (log (+ (exp (neg im)) (exp im))) (exp (+ (exp (neg im)) (exp im))) (* (cbrt (+ (exp (neg im)) (exp im))) (cbrt (+ (exp (neg im)) (exp im)))) (cbrt (+ (exp (neg im)) (exp im))) (* (* (+ (exp (neg im)) (exp im)) (+ (exp (neg im)) (exp im))) (+ (exp (neg im)) (exp im))) (sqrt (+ (exp (neg im)) (exp im))) (sqrt (+ (exp (neg im)) (exp im))) (+ (pow (exp (neg im)) 3) (pow (exp im) 3)) (+ (* (exp (neg im)) (exp (neg im))) (- (* (exp im) (exp im)) (* (exp (neg im)) (exp im)))) (- (* (exp (neg im)) (exp (neg im))) (* (exp im) (exp im))) (- (exp (neg im)) (exp im)) (+ (exp (neg im)) (exp im)) (- (+ (* 0.5 (pow im 2)) 1.0) (* 0.5 (pow re 2))) (* 0.5 (* (+ (exp im) (exp (neg im))) (cos re))) (* 0.5 (* (+ (exp (* -1 im)) (exp im)) (cos re))) (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2)) (+ (exp im) (exp (neg im))) (+ (exp (* -1 im)) (exp im)) 0.617 * * [simplify]: iteration 0 : 4934 enodes (cost 437 ) 0.617 * * [simplify]: iteration 1 : 4934 enodes (cost 437 ) 0.620 * [simplify]: Simplified to: (* 0.5 (* (cos re) (+ (exp (neg im)) (exp im)))) (* 0.5 (* (cos re) (+ (exp (neg im)) (exp im)))) (log (* 0.5 (* (cos re) (+ (exp (neg im)) (exp im))))) (log (* 0.5 (* (cos re) (+ (exp (neg im)) (exp im))))) (log (* 0.5 (* (cos re) (+ (exp (neg im)) (exp im))))) (pow (exp (+ (exp (neg im)) (exp im))) (* 0.5 (cos re))) (pow (* 0.5 (* (cos re) (+ (exp (neg im)) (exp im)))) 3) (pow (* 0.5 (* (cos re) (+ (exp (neg im)) (exp im)))) 3) (* (cbrt (* 0.5 (* (cos re) (+ (exp (neg im)) (exp im))))) (cbrt (* 0.5 (* (cos re) (+ (exp (neg im)) (exp im)))))) (cbrt (* 0.5 (* (cos re) (+ (exp (neg im)) (exp im))))) (pow (* 0.5 (* (cos re) (+ (exp (neg im)) (exp im)))) 3) (sqrt (* 0.5 (* (cos re) (+ (exp (neg im)) (exp im))))) (sqrt (* 0.5 (* (cos re) (+ (exp (neg im)) (exp im))))) (* 0.5 (/ (cos re) (exp im))) (* 0.5 (* (cos re) (exp im))) (* 0.5 (/ (cos re) (exp im))) (* 0.5 (* (cos re) (exp im))) (* 0.5 (* (cos re) (* (cbrt (+ (exp (neg im)) (exp im))) (cbrt (+ (exp (neg im)) (exp im)))))) (* 0.5 (* (cos re) (sqrt (+ (exp (neg im)) (exp im))))) (* 0.5 (cos re)) (* 0.5 (cos re)) (* (cos re) (+ (exp (neg im)) (exp im))) (* 0.5 (* (cos re) (+ (pow (exp im) -3) (pow (exp im) 3)))) (* 0.5 (* (cos re) (- (pow (exp im) -2) (pow (exp im) 2)))) (exp (+ (exp (neg im)) (exp im))) (log (+ (exp (neg im)) (exp im))) (exp (+ (exp (neg im)) (exp im))) (* (cbrt (+ (exp (neg im)) (exp im))) (cbrt (+ (exp (neg im)) (exp im)))) (cbrt (+ (exp (neg im)) (exp im))) (pow (+ (exp (neg im)) (exp im)) 3) (sqrt (+ (exp (neg im)) (exp im))) (sqrt (+ (exp (neg im)) (exp im))) (+ (pow (exp im) -3) (pow (exp im) 3)) (+ (pow (exp im) -2) (+ (pow (exp im) 2) -1)) (- (pow (exp im) -2) (pow (exp im) 2)) (- (exp (neg im)) (exp im)) (+ (exp (neg im)) (exp im)) (+ 1.0 (* 0.5 (- (* im im) (* re re)))) (* 0.5 (* (cos re) (+ (exp (neg im)) (exp im)))) (* 0.5 (* (cos re) (+ (exp (neg im)) (exp im)))) (+ 2 (+ (* im im) (* 1/12 (pow im 4)))) (+ (exp (neg im)) (exp im)) (+ (exp (neg im)) (exp im)) 0.620 * * * [progress]: adding candidates to table 0.666 * * [progress]: iteration 2 / 4 0.666 * * * [progress]: picking best candidate 0.674 * * * * [pick]: Picked # 0.674 * * * [progress]: localizing error 0.686 * * * [progress]: generating rewritten candidates 0.686 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 2) 0.690 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 2) 0.695 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.703 * * * [progress]: generating series expansions 0.703 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 2) 0.703 * [approximate]: Taking taylor expansion of (/ (cos re) (exp im)) in (re im) around 0 0.703 * [taylor]: Taking taylor expansion of (/ (cos re) (exp im)) in im 0.704 * [taylor]: Taking taylor expansion of (cos re) in im 0.704 * [taylor]: Taking taylor expansion of re in im 0.704 * [taylor]: Taking taylor expansion of (exp im) in im 0.704 * [taylor]: Taking taylor expansion of im in im 0.704 * [taylor]: Taking taylor expansion of (/ (cos re) (exp im)) in re 0.704 * [taylor]: Taking taylor expansion of (cos re) in re 0.704 * [taylor]: Taking taylor expansion of re in re 0.704 * [taylor]: Taking taylor expansion of (exp im) in re 0.704 * [taylor]: Taking taylor expansion of im in re 0.704 * [taylor]: Taking taylor expansion of (/ (cos re) (exp im)) in re 0.704 * [taylor]: Taking taylor expansion of (cos re) in re 0.704 * [taylor]: Taking taylor expansion of re in re 0.704 * [taylor]: Taking taylor expansion of (exp im) in re 0.704 * [taylor]: Taking taylor expansion of im in re 0.704 * [taylor]: Taking taylor expansion of (/ 1 (exp im)) in im 0.704 * [taylor]: Taking taylor expansion of (exp im) in im 0.704 * [taylor]: Taking taylor expansion of im in im 0.704 * [taylor]: Taking taylor expansion of 0 in im 0.705 * [taylor]: Taking taylor expansion of (neg (* 1/2 (/ 1 (exp im)))) in im 0.705 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (exp im))) in im 0.705 * [taylor]: Taking taylor expansion of 1/2 in im 0.705 * [taylor]: Taking taylor expansion of (/ 1 (exp im)) in im 0.705 * [taylor]: Taking taylor expansion of (exp im) in im 0.705 * [taylor]: Taking taylor expansion of im in im 0.705 * [approximate]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in (re im) around 0 0.705 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in im 0.705 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.705 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.705 * [taylor]: Taking taylor expansion of re in im 0.705 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.705 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.705 * [taylor]: Taking taylor expansion of im in im 0.705 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in re 0.705 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.705 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.705 * [taylor]: Taking taylor expansion of re in re 0.705 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.705 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.705 * [taylor]: Taking taylor expansion of im in re 0.706 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in re 0.706 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.706 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.706 * [taylor]: Taking taylor expansion of re in re 0.706 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.706 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.706 * [taylor]: Taking taylor expansion of im in re 0.706 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in im 0.706 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.706 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.706 * [taylor]: Taking taylor expansion of re in im 0.706 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.706 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.706 * [taylor]: Taking taylor expansion of im in im 0.706 * [taylor]: Taking taylor expansion of 0 in im 0.707 * [taylor]: Taking taylor expansion of 0 in im 0.708 * [taylor]: Taking taylor expansion of 0 in im 0.708 * [approximate]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in (re im) around 0 0.708 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in im 0.708 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.708 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.708 * [taylor]: Taking taylor expansion of -1 in im 0.708 * [taylor]: Taking taylor expansion of re in im 0.708 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.708 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.708 * [taylor]: Taking taylor expansion of -1 in im 0.708 * [taylor]: Taking taylor expansion of im in im 0.708 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in re 0.708 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.708 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.709 * [taylor]: Taking taylor expansion of -1 in re 0.709 * [taylor]: Taking taylor expansion of re in re 0.709 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.709 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.709 * [taylor]: Taking taylor expansion of -1 in re 0.709 * [taylor]: Taking taylor expansion of im in re 0.709 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in re 0.709 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.709 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.709 * [taylor]: Taking taylor expansion of -1 in re 0.709 * [taylor]: Taking taylor expansion of re in re 0.709 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.709 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.709 * [taylor]: Taking taylor expansion of -1 in re 0.709 * [taylor]: Taking taylor expansion of im in re 0.709 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in im 0.709 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.709 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.709 * [taylor]: Taking taylor expansion of -1 in im 0.709 * [taylor]: Taking taylor expansion of re in im 0.709 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.709 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.709 * [taylor]: Taking taylor expansion of -1 in im 0.709 * [taylor]: Taking taylor expansion of im in im 0.710 * [taylor]: Taking taylor expansion of 0 in im 0.710 * [taylor]: Taking taylor expansion of 0 in im 0.711 * [taylor]: Taking taylor expansion of 0 in im 0.711 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 2) 0.711 * [approximate]: Taking taylor expansion of (* (exp im) (cos re)) in (re im) around 0 0.711 * [taylor]: Taking taylor expansion of (* (exp im) (cos re)) in im 0.711 * [taylor]: Taking taylor expansion of (exp im) in im 0.711 * [taylor]: Taking taylor expansion of im in im 0.711 * [taylor]: Taking taylor expansion of (cos re) in im 0.711 * [taylor]: Taking taylor expansion of re in im 0.712 * [taylor]: Taking taylor expansion of (* (exp im) (cos re)) in re 0.712 * [taylor]: Taking taylor expansion of (exp im) in re 0.712 * [taylor]: Taking taylor expansion of im in re 0.712 * [taylor]: Taking taylor expansion of (cos re) in re 0.712 * [taylor]: Taking taylor expansion of re in re 0.712 * [taylor]: Taking taylor expansion of (* (exp im) (cos re)) in re 0.712 * [taylor]: Taking taylor expansion of (exp im) in re 0.712 * [taylor]: Taking taylor expansion of im in re 0.712 * [taylor]: Taking taylor expansion of (cos re) in re 0.712 * [taylor]: Taking taylor expansion of re in re 0.712 * [taylor]: Taking taylor expansion of (exp im) in im 0.712 * [taylor]: Taking taylor expansion of im in im 0.712 * [taylor]: Taking taylor expansion of 0 in im 0.712 * [taylor]: Taking taylor expansion of (neg (* 1/2 (exp im))) in im 0.712 * [taylor]: Taking taylor expansion of (* 1/2 (exp im)) in im 0.712 * [taylor]: Taking taylor expansion of 1/2 in im 0.712 * [taylor]: Taking taylor expansion of (exp im) in im 0.712 * [taylor]: Taking taylor expansion of im in im 0.713 * [approximate]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in (re im) around 0 0.713 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in im 0.713 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.713 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.713 * [taylor]: Taking taylor expansion of re in im 0.713 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.713 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.713 * [taylor]: Taking taylor expansion of im in im 0.713 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in re 0.713 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.713 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.713 * [taylor]: Taking taylor expansion of re in re 0.713 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.713 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.713 * [taylor]: Taking taylor expansion of im in re 0.713 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in re 0.713 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.713 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.713 * [taylor]: Taking taylor expansion of re in re 0.713 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.713 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.713 * [taylor]: Taking taylor expansion of im in re 0.713 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in im 0.713 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.713 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.713 * [taylor]: Taking taylor expansion of re in im 0.713 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.713 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.713 * [taylor]: Taking taylor expansion of im in im 0.714 * [taylor]: Taking taylor expansion of 0 in im 0.714 * [taylor]: Taking taylor expansion of 0 in im 0.715 * [taylor]: Taking taylor expansion of 0 in im 0.715 * [approximate]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in (re im) around 0 0.715 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in im 0.715 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.715 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.715 * [taylor]: Taking taylor expansion of -1 in im 0.715 * [taylor]: Taking taylor expansion of im in im 0.715 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.715 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.715 * [taylor]: Taking taylor expansion of -1 in im 0.715 * [taylor]: Taking taylor expansion of re in im 0.715 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in re 0.715 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.715 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.715 * [taylor]: Taking taylor expansion of -1 in re 0.715 * [taylor]: Taking taylor expansion of im in re 0.715 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.716 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.716 * [taylor]: Taking taylor expansion of -1 in re 0.716 * [taylor]: Taking taylor expansion of re in re 0.716 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in re 0.716 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.716 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.716 * [taylor]: Taking taylor expansion of -1 in re 0.716 * [taylor]: Taking taylor expansion of im in re 0.716 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.716 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.716 * [taylor]: Taking taylor expansion of -1 in re 0.716 * [taylor]: Taking taylor expansion of re in re 0.716 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in im 0.716 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.716 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.716 * [taylor]: Taking taylor expansion of -1 in im 0.716 * [taylor]: Taking taylor expansion of im in im 0.716 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.716 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.716 * [taylor]: Taking taylor expansion of -1 in im 0.716 * [taylor]: Taking taylor expansion of re in im 0.717 * [taylor]: Taking taylor expansion of 0 in im 0.717 * [taylor]: Taking taylor expansion of 0 in im 0.718 * [taylor]: Taking taylor expansion of 0 in im 0.718 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.719 * [approximate]: Taking taylor expansion of (+ (* 0.5 (* (exp im) (cos re))) (* 0.5 (/ (cos re) (exp im)))) in (re im) around 0 0.719 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (exp im) (cos re))) (* 0.5 (/ (cos re) (exp im)))) in im 0.719 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp im) (cos re))) in im 0.719 * [taylor]: Taking taylor expansion of 0.5 in im 0.719 * [taylor]: Taking taylor expansion of (* (exp im) (cos re)) in im 0.719 * [taylor]: Taking taylor expansion of (exp im) in im 0.719 * [taylor]: Taking taylor expansion of im in im 0.719 * [taylor]: Taking taylor expansion of (cos re) in im 0.719 * [taylor]: Taking taylor expansion of re in im 0.719 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos re) (exp im))) in im 0.719 * [taylor]: Taking taylor expansion of 0.5 in im 0.719 * [taylor]: Taking taylor expansion of (/ (cos re) (exp im)) in im 0.719 * [taylor]: Taking taylor expansion of (cos re) in im 0.719 * [taylor]: Taking taylor expansion of re in im 0.719 * [taylor]: Taking taylor expansion of (exp im) in im 0.719 * [taylor]: Taking taylor expansion of im in im 0.719 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (exp im) (cos re))) (* 0.5 (/ (cos re) (exp im)))) in re 0.719 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp im) (cos re))) in re 0.719 * [taylor]: Taking taylor expansion of 0.5 in re 0.719 * [taylor]: Taking taylor expansion of (* (exp im) (cos re)) in re 0.719 * [taylor]: Taking taylor expansion of (exp im) in re 0.719 * [taylor]: Taking taylor expansion of im in re 0.719 * [taylor]: Taking taylor expansion of (cos re) in re 0.719 * [taylor]: Taking taylor expansion of re in re 0.719 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos re) (exp im))) in re 0.719 * [taylor]: Taking taylor expansion of 0.5 in re 0.719 * [taylor]: Taking taylor expansion of (/ (cos re) (exp im)) in re 0.719 * [taylor]: Taking taylor expansion of (cos re) in re 0.719 * [taylor]: Taking taylor expansion of re in re 0.719 * [taylor]: Taking taylor expansion of (exp im) in re 0.719 * [taylor]: Taking taylor expansion of im in re 0.719 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (exp im) (cos re))) (* 0.5 (/ (cos re) (exp im)))) in re 0.719 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp im) (cos re))) in re 0.719 * [taylor]: Taking taylor expansion of 0.5 in re 0.719 * [taylor]: Taking taylor expansion of (* (exp im) (cos re)) in re 0.719 * [taylor]: Taking taylor expansion of (exp im) in re 0.719 * [taylor]: Taking taylor expansion of im in re 0.719 * [taylor]: Taking taylor expansion of (cos re) in re 0.719 * [taylor]: Taking taylor expansion of re in re 0.719 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos re) (exp im))) in re 0.719 * [taylor]: Taking taylor expansion of 0.5 in re 0.719 * [taylor]: Taking taylor expansion of (/ (cos re) (exp im)) in re 0.719 * [taylor]: Taking taylor expansion of (cos re) in re 0.719 * [taylor]: Taking taylor expansion of re in re 0.719 * [taylor]: Taking taylor expansion of (exp im) in re 0.719 * [taylor]: Taking taylor expansion of im in re 0.720 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (exp im))) (* 0.5 (exp im))) in im 0.720 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (exp im))) in im 0.720 * [taylor]: Taking taylor expansion of 0.5 in im 0.720 * [taylor]: Taking taylor expansion of (/ 1 (exp im)) in im 0.720 * [taylor]: Taking taylor expansion of (exp im) in im 0.720 * [taylor]: Taking taylor expansion of im in im 0.720 * [taylor]: Taking taylor expansion of (* 0.5 (exp im)) in im 0.720 * [taylor]: Taking taylor expansion of 0.5 in im 0.720 * [taylor]: Taking taylor expansion of (exp im) in im 0.720 * [taylor]: Taking taylor expansion of im in im 0.720 * [taylor]: Taking taylor expansion of 0 in im 0.721 * [taylor]: Taking taylor expansion of (neg (+ (* 0.25 (/ 1 (exp im))) (* 0.25 (exp im)))) in im 0.721 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ 1 (exp im))) (* 0.25 (exp im))) in im 0.721 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (exp im))) in im 0.721 * [taylor]: Taking taylor expansion of 0.25 in im 0.721 * [taylor]: Taking taylor expansion of (/ 1 (exp im)) in im 0.721 * [taylor]: Taking taylor expansion of (exp im) in im 0.721 * [taylor]: Taking taylor expansion of im in im 0.721 * [taylor]: Taking taylor expansion of (* 0.25 (exp im)) in im 0.721 * [taylor]: Taking taylor expansion of 0.25 in im 0.721 * [taylor]: Taking taylor expansion of (exp im) in im 0.721 * [taylor]: Taking taylor expansion of im in im 0.722 * [approximate]: Taking taylor expansion of (+ (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im))))) in (re im) around 0 0.722 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im))))) in im 0.722 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in im 0.722 * [taylor]: Taking taylor expansion of 0.5 in im 0.722 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in im 0.722 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.722 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.722 * [taylor]: Taking taylor expansion of re in im 0.722 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.722 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.722 * [taylor]: Taking taylor expansion of im in im 0.722 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in im 0.722 * [taylor]: Taking taylor expansion of 0.5 in im 0.722 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in im 0.722 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.722 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.722 * [taylor]: Taking taylor expansion of re in im 0.722 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.723 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.723 * [taylor]: Taking taylor expansion of im in im 0.723 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im))))) in re 0.723 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in re 0.723 * [taylor]: Taking taylor expansion of 0.5 in re 0.723 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in re 0.723 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.723 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.723 * [taylor]: Taking taylor expansion of re in re 0.723 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.723 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.723 * [taylor]: Taking taylor expansion of im in re 0.723 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in re 0.723 * [taylor]: Taking taylor expansion of 0.5 in re 0.723 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in re 0.723 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.723 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.723 * [taylor]: Taking taylor expansion of re in re 0.723 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.723 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.723 * [taylor]: Taking taylor expansion of im in re 0.723 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im))))) in re 0.723 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in re 0.723 * [taylor]: Taking taylor expansion of 0.5 in re 0.723 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in re 0.723 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.723 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.723 * [taylor]: Taking taylor expansion of re in re 0.723 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.723 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.723 * [taylor]: Taking taylor expansion of im in re 0.723 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in re 0.723 * [taylor]: Taking taylor expansion of 0.5 in re 0.723 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in re 0.723 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.724 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.724 * [taylor]: Taking taylor expansion of re in re 0.724 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.724 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.724 * [taylor]: Taking taylor expansion of im in re 0.724 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im))))) in im 0.724 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in im 0.724 * [taylor]: Taking taylor expansion of 0.5 in im 0.724 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in im 0.724 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.724 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.724 * [taylor]: Taking taylor expansion of re in im 0.724 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.724 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.724 * [taylor]: Taking taylor expansion of im in im 0.724 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in im 0.724 * [taylor]: Taking taylor expansion of 0.5 in im 0.724 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in im 0.724 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.724 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.724 * [taylor]: Taking taylor expansion of re in im 0.724 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.724 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.724 * [taylor]: Taking taylor expansion of im in im 0.726 * [taylor]: Taking taylor expansion of 0 in im 0.727 * [taylor]: Taking taylor expansion of 0 in im 0.729 * [taylor]: Taking taylor expansion of 0 in im 0.729 * [approximate]: Taking taylor expansion of (+ (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re))))) in (re im) around 0 0.729 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re))))) in im 0.729 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in im 0.729 * [taylor]: Taking taylor expansion of 0.5 in im 0.729 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in im 0.729 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.729 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.729 * [taylor]: Taking taylor expansion of -1 in im 0.729 * [taylor]: Taking taylor expansion of re in im 0.729 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.729 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.729 * [taylor]: Taking taylor expansion of -1 in im 0.729 * [taylor]: Taking taylor expansion of im in im 0.730 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in im 0.730 * [taylor]: Taking taylor expansion of 0.5 in im 0.730 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in im 0.730 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.730 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.730 * [taylor]: Taking taylor expansion of -1 in im 0.730 * [taylor]: Taking taylor expansion of im in im 0.730 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.730 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.730 * [taylor]: Taking taylor expansion of -1 in im 0.730 * [taylor]: Taking taylor expansion of re in im 0.730 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re))))) in re 0.730 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in re 0.730 * [taylor]: Taking taylor expansion of 0.5 in re 0.730 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in re 0.730 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.730 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.730 * [taylor]: Taking taylor expansion of -1 in re 0.730 * [taylor]: Taking taylor expansion of re in re 0.730 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.730 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.730 * [taylor]: Taking taylor expansion of -1 in re 0.730 * [taylor]: Taking taylor expansion of im in re 0.730 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in re 0.730 * [taylor]: Taking taylor expansion of 0.5 in re 0.730 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in re 0.730 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.730 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.730 * [taylor]: Taking taylor expansion of -1 in re 0.730 * [taylor]: Taking taylor expansion of im in re 0.730 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.730 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.730 * [taylor]: Taking taylor expansion of -1 in re 0.730 * [taylor]: Taking taylor expansion of re in re 0.730 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re))))) in re 0.730 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in re 0.730 * [taylor]: Taking taylor expansion of 0.5 in re 0.730 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in re 0.730 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.730 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.730 * [taylor]: Taking taylor expansion of -1 in re 0.731 * [taylor]: Taking taylor expansion of re in re 0.731 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.731 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.731 * [taylor]: Taking taylor expansion of -1 in re 0.731 * [taylor]: Taking taylor expansion of im in re 0.731 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in re 0.731 * [taylor]: Taking taylor expansion of 0.5 in re 0.731 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in re 0.731 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.731 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.731 * [taylor]: Taking taylor expansion of -1 in re 0.731 * [taylor]: Taking taylor expansion of im in re 0.731 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.731 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.731 * [taylor]: Taking taylor expansion of -1 in re 0.731 * [taylor]: Taking taylor expansion of re in re 0.731 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re))))) in im 0.731 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in im 0.731 * [taylor]: Taking taylor expansion of 0.5 in im 0.731 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in im 0.731 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.731 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.731 * [taylor]: Taking taylor expansion of -1 in im 0.731 * [taylor]: Taking taylor expansion of re in im 0.731 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.731 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.731 * [taylor]: Taking taylor expansion of -1 in im 0.732 * [taylor]: Taking taylor expansion of im in im 0.732 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in im 0.732 * [taylor]: Taking taylor expansion of 0.5 in im 0.732 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in im 0.732 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.732 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.732 * [taylor]: Taking taylor expansion of -1 in im 0.732 * [taylor]: Taking taylor expansion of im in im 0.732 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.732 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.732 * [taylor]: Taking taylor expansion of -1 in im 0.732 * [taylor]: Taking taylor expansion of re in im 0.733 * [taylor]: Taking taylor expansion of 0 in im 0.734 * [taylor]: Taking taylor expansion of 0 in im 0.736 * [taylor]: Taking taylor expansion of 0 in im 0.736 * * * [progress]: simplifying candidates 0.737 * [simplify]: Simplifying using # : (- (log (cos re)) im) (log (/ (cos re) (exp im))) (exp (/ (cos re) (exp im))) (/ (* (* (cos re) (cos re)) (cos re)) (* (* (exp im) (exp im)) (exp im))) (* (cbrt (/ (cos re) (exp im))) (cbrt (/ (cos re) (exp im)))) (cbrt (/ (cos re) (exp im))) (* (* (/ (cos re) (exp im)) (/ (cos re) (exp im))) (/ (cos re) (exp im))) (sqrt (/ (cos re) (exp im))) (sqrt (/ (cos re) (exp im))) (neg (cos re)) (neg (exp im)) (/ (* (cbrt (cos re)) (cbrt (cos re))) (* (cbrt (exp im)) (cbrt (exp im)))) (/ (cbrt (cos re)) (cbrt (exp im))) (/ (* (cbrt (cos re)) (cbrt (cos re))) (sqrt (exp im))) (/ (cbrt (cos re)) (sqrt (exp im))) (/ (* (cbrt (cos re)) (cbrt (cos re))) 1) (/ (cbrt (cos re)) (exp im)) (/ (sqrt (cos re)) (* (cbrt (exp im)) (cbrt (exp im)))) (/ (sqrt (cos re)) (cbrt (exp im))) (/ (sqrt (cos re)) (sqrt (exp im))) (/ (sqrt (cos re)) (sqrt (exp im))) (/ (sqrt (cos re)) 1) (/ (sqrt (cos re)) (exp im)) (/ 1 (* (cbrt (exp im)) (cbrt (exp im)))) (/ (cos re) (cbrt (exp im))) (/ 1 (sqrt (exp im))) (/ (cos re) (sqrt (exp im))) (/ 1 1) (/ (cos re) (exp im)) (/ 1 (exp im)) (/ (exp im) (cos re)) (/ (cos re) (* (cbrt (exp im)) (cbrt (exp im)))) (/ (cos re) (sqrt (exp im))) (/ (cos re) 1) (/ (exp im) (cbrt (cos re))) (/ (exp im) (sqrt (cos re))) (/ (exp im) (cos re)) (* (cos re) (exp im)) (+ (log (cos re)) im) (log (* (cos re) (exp im))) (exp (* (cos re) (exp im))) (* (* (* (cos re) (cos re)) (cos re)) (* (* (exp im) (exp im)) (exp im))) (* (cbrt (* (cos re) (exp im))) (cbrt (* (cos re) (exp im)))) (cbrt (* (cos re) (exp im))) (* (* (* (cos re) (exp im)) (* (cos re) (exp im))) (* (cos re) (exp im))) (sqrt (* (cos re) (exp im))) (sqrt (* (cos re) (exp im))) (* (sqrt (cos re)) (sqrt (exp im))) (* (sqrt (cos re)) (sqrt (exp im))) (* (cos re) (* (cbrt (exp im)) (cbrt (exp im)))) (* (cos re) (sqrt (exp im))) (* (cos re) 1) (* (cbrt (cos re)) (exp im)) (* (sqrt (cos re)) (exp im)) (* (cos re) (exp im)) (* (exp (* 0.5 (/ (cos re) (exp im)))) (exp (* 0.5 (* (cos re) (exp im))))) (log (+ (* 0.5 (/ (cos re) (exp im))) (* 0.5 (* (cos re) (exp im))))) (exp (+ (* 0.5 (/ (cos re) (exp im))) (* 0.5 (* (cos re) (exp im))))) (* (cbrt (+ (* 0.5 (/ (cos re) (exp im))) (* 0.5 (* (cos re) (exp im))))) (cbrt (+ (* 0.5 (/ (cos re) (exp im))) (* 0.5 (* (cos re) (exp im)))))) (cbrt (+ (* 0.5 (/ (cos re) (exp im))) (* 0.5 (* (cos re) (exp im))))) (* (* (+ (* 0.5 (/ (cos re) (exp im))) (* 0.5 (* (cos re) (exp im)))) (+ (* 0.5 (/ (cos re) (exp im))) (* 0.5 (* (cos re) (exp im))))) (+ (* 0.5 (/ (cos re) (exp im))) (* 0.5 (* (cos re) (exp im))))) (sqrt (+ (* 0.5 (/ (cos re) (exp im))) (* 0.5 (* (cos re) (exp im))))) (sqrt (+ (* 0.5 (/ (cos re) (exp im))) (* 0.5 (* (cos re) (exp im))))) (+ (pow (* 0.5 (/ (cos re) (exp im))) 3) (pow (* 0.5 (* (cos re) (exp im))) 3)) (+ (* (* 0.5 (/ (cos re) (exp im))) (* 0.5 (/ (cos re) (exp im)))) (- (* (* 0.5 (* (cos re) (exp im))) (* 0.5 (* (cos re) (exp im)))) (* (* 0.5 (/ (cos re) (exp im))) (* 0.5 (* (cos re) (exp im)))))) (- (* (* 0.5 (/ (cos re) (exp im))) (* 0.5 (/ (cos re) (exp im)))) (* (* 0.5 (* (cos re) (exp im))) (* 0.5 (* (cos re) (exp im))))) (- (* 0.5 (/ (cos re) (exp im))) (* 0.5 (* (cos re) (exp im)))) (+ (/ (cos re) (exp im)) (* (cos re) (exp im))) (- 1 (+ (* 1/2 (pow re 2)) im)) (/ (cos re) (exp im)) (/ (cos re) (exp im)) (- (+ im 1) (* 1/2 (pow re 2))) (* (exp im) (cos re)) (* (exp im) (cos re)) (- (+ (* 0.5 (pow im 2)) 1.0) (* 0.5 (pow re 2))) (+ (* 0.5 (* (exp im) (cos re))) (* 0.5 (/ (cos re) (exp im)))) (+ (* 0.5 (* (exp im) (cos re))) (* 0.5 (/ (cos re) (exp im)))) 0.771 * * [simplify]: iteration 0 : 4976 enodes (cost 625 ) 0.771 * * [simplify]: iteration 1 : 4976 enodes (cost 625 ) 0.774 * [simplify]: Simplified to: (- (log (cos re)) im) (- (log (cos re)) im) (exp (/ (cos re) (exp im))) (pow (/ (cos re) (exp im)) 3) (* (cbrt (/ (cos re) (exp im))) (cbrt (/ (cos re) (exp im)))) (cbrt (/ (cos re) (exp im))) (pow (/ (cos re) (exp im)) 3) (sqrt (/ (cos re) (exp im))) (sqrt (/ (cos re) (exp im))) (neg (cos re)) (neg (exp im)) (* (cbrt (cos re)) (/ (cbrt (cos re)) (* (cbrt (exp im)) (cbrt (exp im))))) (/ (cbrt (cos re)) (cbrt (exp im))) (* (cbrt (cos re)) (/ (cbrt (cos re)) (sqrt (exp im)))) (/ (cbrt (cos re)) (sqrt (exp im))) (* (cbrt (cos re)) (cbrt (cos re))) (/ (cbrt (cos re)) (exp im)) (/ (sqrt (cos re)) (* (cbrt (exp im)) (cbrt (exp im)))) (/ (sqrt (cos re)) (cbrt (exp im))) (/ (sqrt (cos re)) (sqrt (exp im))) (/ (sqrt (cos re)) (sqrt (exp im))) (sqrt (cos re)) (/ (sqrt (cos re)) (exp im)) (/ 1 (* (cbrt (exp im)) (cbrt (exp im)))) (/ (cos re) (cbrt (exp im))) (/ 1 (sqrt (exp im))) (/ (cos re) (sqrt (exp im))) 1 (/ (cos re) (exp im)) (exp (neg im)) (/ (exp im) (cos re)) (/ (cos re) (* (cbrt (exp im)) (cbrt (exp im)))) (/ (cos re) (sqrt (exp im))) (cos re) (/ (exp im) (cbrt (cos re))) (/ (exp im) (sqrt (cos re))) (/ (exp im) (cos re)) (* (cos re) (exp im)) (+ (log (cos re)) im) (+ (log (cos re)) im) (pow (exp (cos re)) (exp im)) (pow (* (cos re) (exp im)) 3) (* (cbrt (* (cos re) (exp im))) (cbrt (* (cos re) (exp im)))) (cbrt (* (cos re) (exp im))) (pow (* (cos re) (exp im)) 3) (sqrt (* (cos re) (exp im))) (sqrt (* (cos re) (exp im))) (* (sqrt (exp im)) (sqrt (cos re))) (* (sqrt (exp im)) (sqrt (cos re))) (* (cos re) (* (cbrt (exp im)) (cbrt (exp im)))) (* (cos re) (sqrt (exp im))) (cos re) (* (exp im) (cbrt (cos re))) (* (exp im) (sqrt (cos re))) (* (cos re) (exp im)) (pow (exp 0.5) (* (cos re) (+ (exp (neg im)) (exp im)))) (log (* 0.5 (* (cos re) (+ (exp (neg im)) (exp im))))) (pow (exp 0.5) (* (cos re) (+ (exp (neg im)) (exp im)))) (* (cbrt (* 0.5 (* (cos re) (+ (exp (neg im)) (exp im))))) (cbrt (* 0.5 (* (cos re) (+ (exp (neg im)) (exp im)))))) (cbrt (* 0.5 (* (cos re) (+ (exp (neg im)) (exp im))))) (pow (* 0.5 (* (cos re) (+ (exp (neg im)) (exp im)))) 3) (sqrt (* 0.5 (* (cos re) (+ (exp (neg im)) (exp im))))) (sqrt (* 0.5 (* (cos re) (+ (exp (neg im)) (exp im))))) (+ (pow (* (cos re) (/ 0.5 (exp im))) 3) (pow (* (cos re) (* (exp im) 0.5)) 3)) (* 0.5 (+ (* (* (cos re) (* (cos re) (exp (* im -2)))) 0.5) (* (* (cos re) (exp im)) (* 0.5 (* (cos re) (- (exp im) (exp (neg im)))))))) (* 0.5 (* 0.5 (* (cos re) (- (* (cos re) (exp (* im -2))) (* (cos re) (pow (exp im) 2)))))) (* 0.5 (* (cos re) (- (exp (neg im)) (exp im)))) (* (cos re) (+ (exp (neg im)) (exp im))) (+ 1 (- (* re (* re -1/2)) im)) (/ (cos re) (exp im)) (/ (cos re) (exp im)) (+ im (+ 1 (* re (* re -1/2)))) (* (cos re) (exp im)) (* (cos re) (exp im)) (+ 1.0 (* 0.5 (- (* im im) (* re re)))) (* 0.5 (* (cos re) (+ (exp (neg im)) (exp im)))) (* 0.5 (* (cos re) (+ (exp (neg im)) (exp im)))) 0.774 * * * [progress]: adding candidates to table 0.847 * * [progress]: iteration 3 / 4 0.847 * * * [progress]: picking best candidate 0.851 * * * * [pick]: Picked # 0.851 * * * [progress]: localizing error 0.869 * * * [progress]: generating rewritten candidates 0.869 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2) 0.875 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1) 0.878 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 2 1) 0.881 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2) 0.886 * * * [progress]: generating series expansions 0.886 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2) 0.886 * [approximate]: Taking taylor expansion of (- (pow (exp im) 2) 1) in (im) around 0 0.886 * [taylor]: Taking taylor expansion of (- (pow (exp im) 2) 1) in im 0.886 * [taylor]: Taking taylor expansion of (pow (exp im) 2) in im 0.886 * [taylor]: Taking taylor expansion of (exp im) in im 0.886 * [taylor]: Taking taylor expansion of im in im 0.886 * [taylor]: Taking taylor expansion of 1 in im 0.886 * [taylor]: Taking taylor expansion of (- (pow (exp im) 2) 1) in im 0.886 * [taylor]: Taking taylor expansion of (pow (exp im) 2) in im 0.886 * [taylor]: Taking taylor expansion of (exp im) in im 0.886 * [taylor]: Taking taylor expansion of im in im 0.886 * [taylor]: Taking taylor expansion of 1 in im 0.887 * [approximate]: Taking taylor expansion of (- (pow (exp (/ 1 im)) 2) 1) in (im) around 0 0.887 * [taylor]: Taking taylor expansion of (- (pow (exp (/ 1 im)) 2) 1) in im 0.887 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 im)) 2) in im 0.887 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.887 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.887 * [taylor]: Taking taylor expansion of im in im 0.887 * [taylor]: Taking taylor expansion of 1 in im 0.887 * [taylor]: Taking taylor expansion of (- (pow (exp (/ 1 im)) 2) 1) in im 0.887 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 im)) 2) in im 0.887 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.887 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.887 * [taylor]: Taking taylor expansion of im in im 0.887 * [taylor]: Taking taylor expansion of 1 in im 0.888 * [approximate]: Taking taylor expansion of (- (pow (exp (/ -1 im)) 2) 1) in (im) around 0 0.888 * [taylor]: Taking taylor expansion of (- (pow (exp (/ -1 im)) 2) 1) in im 0.888 * [taylor]: Taking taylor expansion of (pow (exp (/ -1 im)) 2) in im 0.888 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.888 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.888 * [taylor]: Taking taylor expansion of -1 in im 0.888 * [taylor]: Taking taylor expansion of im in im 0.888 * [taylor]: Taking taylor expansion of 1 in im 0.888 * [taylor]: Taking taylor expansion of (- (pow (exp (/ -1 im)) 2) 1) in im 0.888 * [taylor]: Taking taylor expansion of (pow (exp (/ -1 im)) 2) in im 0.888 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.888 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.888 * [taylor]: Taking taylor expansion of -1 in im 0.888 * [taylor]: Taking taylor expansion of im in im 0.888 * [taylor]: Taking taylor expansion of 1 in im 0.889 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1) 0.889 * [approximate]: Taking taylor expansion of (pow (exp im) -3) in (im) around 0 0.889 * [taylor]: Taking taylor expansion of (pow (exp im) -3) in im 0.889 * [taylor]: Taking taylor expansion of (exp im) in im 0.889 * [taylor]: Taking taylor expansion of im in im 0.890 * [taylor]: Taking taylor expansion of (pow (exp im) -3) in im 0.890 * [taylor]: Taking taylor expansion of (exp im) in im 0.890 * [taylor]: Taking taylor expansion of im in im 0.890 * [approximate]: Taking taylor expansion of (pow (exp (/ 1 im)) -3) in (im) around 0 0.890 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 im)) -3) in im 0.890 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.890 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.890 * [taylor]: Taking taylor expansion of im in im 0.890 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 im)) -3) in im 0.890 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.890 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.890 * [taylor]: Taking taylor expansion of im in im 0.893 * [approximate]: Taking taylor expansion of (pow (exp (/ -1 im)) -3) in (im) around 0 0.893 * [taylor]: Taking taylor expansion of (pow (exp (/ -1 im)) -3) in im 0.893 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.893 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.893 * [taylor]: Taking taylor expansion of -1 in im 0.893 * [taylor]: Taking taylor expansion of im in im 0.893 * [taylor]: Taking taylor expansion of (pow (exp (/ -1 im)) -3) in im 0.893 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.893 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.893 * [taylor]: Taking taylor expansion of -1 in im 0.894 * [taylor]: Taking taylor expansion of im in im 0.896 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 2 1) 0.896 * [approximate]: Taking taylor expansion of (pow (exp im) 2) in (im) around 0 0.896 * [taylor]: Taking taylor expansion of (pow (exp im) 2) in im 0.896 * [taylor]: Taking taylor expansion of (exp im) in im 0.896 * [taylor]: Taking taylor expansion of im in im 0.896 * [taylor]: Taking taylor expansion of (pow (exp im) 2) in im 0.896 * [taylor]: Taking taylor expansion of (exp im) in im 0.896 * [taylor]: Taking taylor expansion of im in im 0.897 * [approximate]: Taking taylor expansion of (pow (exp (/ 1 im)) 2) in (im) around 0 0.897 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 im)) 2) in im 0.897 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.897 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.897 * [taylor]: Taking taylor expansion of im in im 0.897 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 im)) 2) in im 0.897 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.897 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.897 * [taylor]: Taking taylor expansion of im in im 0.898 * [approximate]: Taking taylor expansion of (pow (exp (/ -1 im)) 2) in (im) around 0 0.898 * [taylor]: Taking taylor expansion of (pow (exp (/ -1 im)) 2) in im 0.898 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.898 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.898 * [taylor]: Taking taylor expansion of -1 in im 0.898 * [taylor]: Taking taylor expansion of im in im 0.898 * [taylor]: Taking taylor expansion of (pow (exp (/ -1 im)) 2) in im 0.898 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.898 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.898 * [taylor]: Taking taylor expansion of -1 in im 0.898 * [taylor]: Taking taylor expansion of im in im 0.899 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2) 0.899 * [approximate]: Taking taylor expansion of (pow (exp im) 3) in (im) around 0 0.899 * [taylor]: Taking taylor expansion of (pow (exp im) 3) in im 0.899 * [taylor]: Taking taylor expansion of (exp im) in im 0.899 * [taylor]: Taking taylor expansion of im in im 0.899 * [taylor]: Taking taylor expansion of (pow (exp im) 3) in im 0.899 * [taylor]: Taking taylor expansion of (exp im) in im 0.899 * [taylor]: Taking taylor expansion of im in im 0.899 * [approximate]: Taking taylor expansion of (pow (exp (/ 1 im)) 3) in (im) around 0 0.899 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 im)) 3) in im 0.899 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.899 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.899 * [taylor]: Taking taylor expansion of im in im 0.899 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 im)) 3) in im 0.899 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.899 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.899 * [taylor]: Taking taylor expansion of im in im 0.901 * [approximate]: Taking taylor expansion of (pow (exp (/ -1 im)) 3) in (im) around 0 0.901 * [taylor]: Taking taylor expansion of (pow (exp (/ -1 im)) 3) in im 0.901 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.901 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.901 * [taylor]: Taking taylor expansion of -1 in im 0.901 * [taylor]: Taking taylor expansion of im in im 0.901 * [taylor]: Taking taylor expansion of (pow (exp (/ -1 im)) 3) in im 0.901 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.901 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.901 * [taylor]: Taking taylor expansion of -1 in im 0.901 * [taylor]: Taking taylor expansion of im in im 0.903 * * * [progress]: simplifying candidates 0.904 * [simplify]: Simplifying using # : (* (exp (pow (exp im) 2)) (exp -1)) (log (+ (pow (exp im) 2) -1)) (exp (+ (pow (exp im) 2) -1)) (* (cbrt (+ (pow (exp im) 2) -1)) (cbrt (+ (pow (exp im) 2) -1))) (cbrt (+ (pow (exp im) 2) -1)) (* (* (+ (pow (exp im) 2) -1) (+ (pow (exp im) 2) -1)) (+ (pow (exp im) 2) -1)) (sqrt (+ (pow (exp im) 2) -1)) (sqrt (+ (pow (exp im) 2) -1)) (+ (pow (pow (exp im) 2) 3) (pow -1 3)) (+ (* (pow (exp im) 2) (pow (exp im) 2)) (- (* -1 -1) (* (pow (exp im) 2) -1))) (- (* (pow (exp im) 2) (pow (exp im) 2)) (* -1 -1)) (- (pow (exp im) 2) -1) (+ (pow (sqrt (exp im)) 2) 1) (- (pow (sqrt (exp im)) 2) 1) (+ (exp im) 1) (- (exp im) 1) (+ (sqrt (pow (exp im) 2)) 1) (- (sqrt (pow (exp im) 2)) 1) (+ (pow (exp im) (/ 2 2)) 1) (- (pow (exp im) (/ 2 2)) 1) (+ (pow (exp im) 2) -1) (* im -3) (* (log (exp im)) -3) (* 1 -3) (* (cbrt im) -3) (* (sqrt im) -3) (* im -3) (pow (exp im) (* (cbrt -3) (cbrt -3))) (pow (exp im) (sqrt -3)) (pow (exp im) 1) (pow (* (cbrt (exp im)) (cbrt (exp im))) -3) (pow (cbrt (exp im)) -3) (pow (sqrt (exp im)) -3) (pow (sqrt (exp im)) -3) (pow 1 -3) (pow (exp im) -3) (log (pow (exp im) -3)) (exp (pow (exp im) -3)) (* (cbrt (pow (exp im) -3)) (cbrt (pow (exp im) -3))) (cbrt (pow (exp im) -3)) (* (* (pow (exp im) -3) (pow (exp im) -3)) (pow (exp im) -3)) (sqrt (pow (exp im) -3)) (sqrt (pow (exp im) -3)) (pow (exp im) (/ -3 2)) (pow (exp im) (/ -3 2)) (* im 2) (* (log (exp im)) 2) (* 1 2) (* (cbrt im) 2) (* (sqrt im) 2) (* im 2) (pow (exp im) (* (cbrt 2) (cbrt 2))) (pow (exp im) (sqrt 2)) (pow (exp im) 1) (pow (* (cbrt (exp im)) (cbrt (exp im))) 2) (pow (cbrt (exp im)) 2) (pow (sqrt (exp im)) 2) (pow (sqrt (exp im)) 2) (pow 1 2) (pow (exp im) 2) (log (pow (exp im) 2)) (exp (pow (exp im) 2)) (* (cbrt (pow (exp im) 2)) (cbrt (pow (exp im) 2))) (cbrt (pow (exp im) 2)) (* (* (pow (exp im) 2) (pow (exp im) 2)) (pow (exp im) 2)) (sqrt (pow (exp im) 2)) (sqrt (pow (exp im) 2)) (pow (exp im) (/ 2 2)) (pow (exp im) (/ 2 2)) (* im 3) (* (log (exp im)) 3) (* 1 3) (* (cbrt im) 3) (* (sqrt im) 3) (* im 3) (pow (exp im) (* (cbrt 3) (cbrt 3))) (pow (exp im) (sqrt 3)) (pow (exp im) 1) (pow (* (cbrt (exp im)) (cbrt (exp im))) 3) (pow (cbrt (exp im)) 3) (pow (sqrt (exp im)) 3) (pow (sqrt (exp im)) 3) (pow 1 3) (pow (exp im) 3) (* (exp im) (exp im)) (log (pow (exp im) 3)) (exp (pow (exp im) 3)) (* (cbrt (pow (exp im) 3)) (cbrt (pow (exp im) 3))) (cbrt (pow (exp im) 3)) (* (* (pow (exp im) 3) (pow (exp im) 3)) (pow (exp im) 3)) (pow (* (cbrt (exp im)) (cbrt (exp im))) 3) (pow (cbrt (exp im)) 3) (pow (sqrt (exp im)) 3) (pow (sqrt (exp im)) 3) (pow 1 3) (pow (exp im) 3) (* (exp im) (exp im)) (sqrt (pow (exp im) 3)) (sqrt (pow (exp im) 3)) (pow (exp im) (/ 3 2)) (pow (exp im) (/ 3 2)) (+ (* 4/3 (pow im 3)) (+ (* 2 (pow im 2)) (* 2 im))) (- (pow (exp im) 2) 1) (- (pow (exp im) 2) 1) (- (+ (* 9/2 (pow im 2)) 1) (* 3 im)) (/ 1 (pow (exp im) 3)) (/ 1 (pow (exp im) 3)) (+ (* 2 im) (+ (* 2 (pow im 2)) 1)) (pow (exp im) 2) (pow (exp im) 2) (+ (* 3 im) (+ (* 9/2 (pow im 2)) 1)) (pow (exp im) 3) (pow (exp im) 3) 0.936 * * [simplify]: iteration 0 : 4930 enodes (cost 519 ) 0.937 * * [simplify]: iteration 1 : 4930 enodes (cost 519 ) 0.940 * [simplify]: Simplified to: (/ (exp (pow (exp im) 2)) E) (log (+ (pow (exp im) 2) -1)) (/ (exp (pow (exp im) 2)) E) (* (cbrt (+ (pow (exp im) 2) -1)) (cbrt (+ (pow (exp im) 2) -1))) (cbrt (+ (pow (exp im) 2) -1)) (pow (+ (pow (exp im) 2) -1) 3) (sqrt (+ (pow (exp im) 2) -1)) (sqrt (+ (pow (exp im) 2) -1)) (+ -1 (pow (exp im) 6)) (+ (pow (exp im) 2) (+ (pow (exp im) 4) 1)) (+ -1 (pow (exp im) 4)) (+ (pow (exp im) 2) 1) (+ (exp im) 1) (+ (exp im) -1) (+ (exp im) 1) (+ (exp im) -1) (+ 1 (fabs (exp im))) (+ -1 (fabs (exp im))) (+ (exp im) 1) (+ (exp im) -1) (+ (pow (exp im) 2) -1) (* im -3) (* im -3) -3 (* -3 (cbrt im)) (* -3 (sqrt im)) (* im -3) (pow (exp im) (* (cbrt -3) (cbrt -3))) (pow (exp im) (sqrt -3)) (exp im) (pow (pow (cbrt (exp im)) 2) -3) (pow (cbrt (exp im)) -3) (pow (sqrt (exp im)) -3) (pow (sqrt (exp im)) -3) 1 (pow (exp im) -3) (* im -3) (exp (pow (exp im) -3)) (* (cbrt (pow (exp im) -3)) (cbrt (pow (exp im) -3))) (cbrt (pow (exp im) -3)) (pow (pow (exp im) -3) 3) (sqrt (pow (exp im) -3)) (sqrt (pow (exp im) -3)) (pow (exp im) -3/2) (pow (exp im) -3/2) (+ im im) (+ im im) 2 (* 2 (cbrt im)) (* 2 (sqrt im)) (+ im im) (pow (exp im) (* (cbrt 2) (cbrt 2))) (pow (exp im) (sqrt 2)) (exp im) (pow (cbrt (exp im)) 4) (pow (cbrt (exp im)) 2) (exp im) (exp im) 1 (pow (exp im) 2) (+ im im) (exp (pow (exp im) 2)) (pow (cbrt (exp im)) 4) (pow (cbrt (exp im)) 2) (pow (exp im) 6) (fabs (exp im)) (fabs (exp im)) (exp im) (exp im) (* im 3) (* im 3) 3 (* 3 (cbrt im)) (* 3 (sqrt im)) (* im 3) (pow (exp im) (* (cbrt 3) (cbrt 3))) (pow (exp im) (sqrt 3)) (exp im) (pow (exp im) 2) (exp im) (pow (exp im) 3/2) (pow (exp im) 3/2) 1 (pow (exp im) 3) (pow (exp im) 2) (* im 3) (exp (pow (exp im) 3)) (pow (exp im) 2) (exp im) (pow (pow (exp im) 3) 3) (pow (exp im) 2) (exp im) (pow (exp im) 3/2) (pow (exp im) 3/2) 1 (pow (exp im) 3) (pow (exp im) 2) (sqrt (pow (exp im) 3)) (sqrt (pow (exp im) 3)) (pow (exp im) 3/2) (pow (exp im) 3/2) (+ im (+ im (* (* im im) (+ (* im 4/3) 2)))) (+ (pow (exp im) 2) -1) (+ (pow (exp im) 2) -1) (+ 1 (* im (+ (* im 9/2) -3))) (pow (exp im) -3) (pow (exp im) -3) (+ 1 (* im (+ 2 (+ im im)))) (pow (exp im) 2) (pow (exp im) 2) (+ 1 (* im (+ 3 (* im 9/2)))) (pow (exp im) 3) (pow (exp im) 3) 0.940 * * * [progress]: adding candidates to table 1.093 * [progress]: [Phase 3 of 3] Extracting. 1.093 * * [regime]: Finding splitpoints for: (# # #) 1.094 * * * [regime-changes]: Trying 6 branch expressions: ((+ (exp (neg im)) (exp im)) (cos re) (* 0.5 (cos re)) (* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im))) im re) 1.094 * * * * [regimes]: Trying to branch on (+ (exp (neg im)) (exp im)) from (# # #) 1.132 * * * * [regimes]: Trying to branch on (cos re) from (# # #) 1.170 * * * * [regimes]: Trying to branch on (* 0.5 (cos re)) from (# # #) 1.210 * * * * [regimes]: Trying to branch on (* 0.5 (cos re)) from (# #) 1.246 * * * * [regimes]: Trying to branch on (* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im))) from (# # #) 1.295 * * * * [regimes]: Trying to branch on im from (# # #) 1.334 * * * * [regimes]: Trying to branch on re from (# # #) 1.374 * * * [regime]: Found split indices: #