4.783 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.043 * * * [progress]: [2/2] Setting up program. 0.045 * [progress]: [Phase 2 of 3] Improving. 0.046 * [simplify]: Simplifying using # : (* (exp re) (cos im)) 0.048 * * [simplify]: iteration 0 : 6 enodes (cost 3 ) 0.049 * * [simplify]: iteration 1 : 6 enodes (cost 3 ) 0.049 * [simplify]: Simplified to: (* (exp re) (cos im)) 0.049 * * [progress]: iteration 1 / 4 0.049 * * * [progress]: picking best candidate 0.051 * * * * [pick]: Picked # 0.051 * * * [progress]: localizing error 0.060 * * * [progress]: generating rewritten candidates 0.060 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.066 * * * [progress]: generating series expansions 0.066 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.066 * [approximate]: Taking taylor expansion of (* (cos im) (exp re)) in (re im) around 0 0.066 * [taylor]: Taking taylor expansion of (* (cos im) (exp re)) in im 0.066 * [taylor]: Taking taylor expansion of (cos im) in im 0.067 * [taylor]: Taking taylor expansion of im in im 0.067 * [taylor]: Taking taylor expansion of (exp re) in im 0.067 * [taylor]: Taking taylor expansion of re in im 0.067 * [taylor]: Taking taylor expansion of (* (cos im) (exp re)) in re 0.067 * [taylor]: Taking taylor expansion of (cos im) in re 0.067 * [taylor]: Taking taylor expansion of im in re 0.067 * [taylor]: Taking taylor expansion of (exp re) in re 0.067 * [taylor]: Taking taylor expansion of re in re 0.067 * [taylor]: Taking taylor expansion of (* (cos im) (exp re)) in re 0.067 * [taylor]: Taking taylor expansion of (cos im) in re 0.067 * [taylor]: Taking taylor expansion of im in re 0.067 * [taylor]: Taking taylor expansion of (exp re) in re 0.067 * [taylor]: Taking taylor expansion of re in re 0.067 * [taylor]: Taking taylor expansion of (cos im) in im 0.067 * [taylor]: Taking taylor expansion of im in im 0.070 * [taylor]: Taking taylor expansion of (cos im) in im 0.070 * [taylor]: Taking taylor expansion of im in im 0.074 * [taylor]: Taking taylor expansion of (* 1/2 (cos im)) in im 0.074 * [taylor]: Taking taylor expansion of 1/2 in im 0.074 * [taylor]: Taking taylor expansion of (cos im) in im 0.074 * [taylor]: Taking taylor expansion of im in im 0.075 * [approximate]: Taking taylor expansion of (* (exp (/ 1 re)) (cos (/ 1 im))) in (re im) around 0 0.075 * [taylor]: Taking taylor expansion of (* (exp (/ 1 re)) (cos (/ 1 im))) in im 0.075 * [taylor]: Taking taylor expansion of (exp (/ 1 re)) in im 0.075 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.075 * [taylor]: Taking taylor expansion of re in im 0.075 * [taylor]: Taking taylor expansion of (cos (/ 1 im)) in im 0.075 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.075 * [taylor]: Taking taylor expansion of im in im 0.075 * [taylor]: Taking taylor expansion of (* (exp (/ 1 re)) (cos (/ 1 im))) in re 0.075 * [taylor]: Taking taylor expansion of (exp (/ 1 re)) in re 0.075 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.075 * [taylor]: Taking taylor expansion of re in re 0.075 * [taylor]: Taking taylor expansion of (cos (/ 1 im)) in re 0.075 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.075 * [taylor]: Taking taylor expansion of im in re 0.076 * [taylor]: Taking taylor expansion of (* (exp (/ 1 re)) (cos (/ 1 im))) in re 0.076 * [taylor]: Taking taylor expansion of (exp (/ 1 re)) in re 0.076 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.076 * [taylor]: Taking taylor expansion of re in re 0.076 * [taylor]: Taking taylor expansion of (cos (/ 1 im)) in re 0.076 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.076 * [taylor]: Taking taylor expansion of im in re 0.077 * [taylor]: Taking taylor expansion of (* (exp (/ 1 re)) (cos (/ 1 im))) in im 0.077 * [taylor]: Taking taylor expansion of (exp (/ 1 re)) in im 0.077 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.077 * [taylor]: Taking taylor expansion of re in im 0.077 * [taylor]: Taking taylor expansion of (cos (/ 1 im)) in im 0.077 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.077 * [taylor]: Taking taylor expansion of im in im 0.079 * [taylor]: Taking taylor expansion of 0 in im 0.082 * [taylor]: Taking taylor expansion of 0 in im 0.087 * [taylor]: Taking taylor expansion of 0 in im 0.087 * [approximate]: Taking taylor expansion of (* (exp (/ -1 re)) (cos (/ -1 im))) in (re im) around 0 0.087 * [taylor]: Taking taylor expansion of (* (exp (/ -1 re)) (cos (/ -1 im))) in im 0.087 * [taylor]: Taking taylor expansion of (exp (/ -1 re)) in im 0.087 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.087 * [taylor]: Taking taylor expansion of -1 in im 0.087 * [taylor]: Taking taylor expansion of re in im 0.087 * [taylor]: Taking taylor expansion of (cos (/ -1 im)) in im 0.087 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.087 * [taylor]: Taking taylor expansion of -1 in im 0.087 * [taylor]: Taking taylor expansion of im in im 0.088 * [taylor]: Taking taylor expansion of (* (exp (/ -1 re)) (cos (/ -1 im))) in re 0.088 * [taylor]: Taking taylor expansion of (exp (/ -1 re)) in re 0.088 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.088 * [taylor]: Taking taylor expansion of -1 in re 0.088 * [taylor]: Taking taylor expansion of re in re 0.088 * [taylor]: Taking taylor expansion of (cos (/ -1 im)) in re 0.088 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.088 * [taylor]: Taking taylor expansion of -1 in re 0.088 * [taylor]: Taking taylor expansion of im in re 0.088 * [taylor]: Taking taylor expansion of (* (exp (/ -1 re)) (cos (/ -1 im))) in re 0.088 * [taylor]: Taking taylor expansion of (exp (/ -1 re)) in re 0.088 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.088 * [taylor]: Taking taylor expansion of -1 in re 0.088 * [taylor]: Taking taylor expansion of re in re 0.089 * [taylor]: Taking taylor expansion of (cos (/ -1 im)) in re 0.089 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.089 * [taylor]: Taking taylor expansion of -1 in re 0.089 * [taylor]: Taking taylor expansion of im in re 0.089 * [taylor]: Taking taylor expansion of (* (exp (/ -1 re)) (cos (/ -1 im))) in im 0.089 * [taylor]: Taking taylor expansion of (exp (/ -1 re)) in im 0.089 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.089 * [taylor]: Taking taylor expansion of -1 in im 0.089 * [taylor]: Taking taylor expansion of re in im 0.090 * [taylor]: Taking taylor expansion of (cos (/ -1 im)) in im 0.090 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.090 * [taylor]: Taking taylor expansion of -1 in im 0.090 * [taylor]: Taking taylor expansion of im in im 0.092 * [taylor]: Taking taylor expansion of 0 in im 0.095 * [taylor]: Taking taylor expansion of 0 in im 0.100 * [taylor]: Taking taylor expansion of 0 in im 0.100 * * * [progress]: simplifying candidates 0.100 * [simplify]: Simplifying using # : (expm1 (* (exp re) (cos im))) (log1p (* (exp re) (cos im))) (* (exp re) (cos im)) (+ re (log (cos im))) (log (* (exp re) (cos im))) (exp (* (exp re) (cos im))) (* (* (* (exp re) (exp re)) (exp re)) (* (* (cos im) (cos im)) (cos im))) (* (cbrt (* (exp re) (cos im))) (cbrt (* (exp re) (cos im)))) (cbrt (* (exp re) (cos im))) (* (* (* (exp re) (cos im)) (* (exp re) (cos im))) (* (exp re) (cos im))) (sqrt (* (exp re) (cos im))) (sqrt (* (exp re) (cos im))) (* (sqrt (exp re)) (sqrt (cos im))) (* (sqrt (exp re)) (sqrt (cos im))) (* (exp re) (* (cbrt (cos im)) (cbrt (cos im)))) (* (exp re) (sqrt (cos im))) (* (exp re) 1) (* (cbrt (exp re)) (cos im)) (* (sqrt (exp re)) (cos im)) (* (exp re) (cos im)) (+ 1 (+ (* 1/2 (pow re 2)) re)) (* (cos im) (exp re)) (* (cos im) (exp re)) 0.103 * * [simplify]: iteration 0 : 82 enodes (cost 105 ) 0.105 * * [simplify]: iteration 1 : 268 enodes (cost 92 ) 0.111 * * [simplify]: iteration 2 : 1050 enodes (cost 92 ) 0.129 * * [simplify]: iteration 3 : 4260 enodes (cost 92 ) 0.241 * * [simplify]: iteration 4 : 5001 enodes (cost 91 ) 0.242 * [simplify]: Simplified to: (expm1 (* (exp re) (cos im))) (log1p (* (exp re) (cos im))) (* (exp re) (cos im)) (+ (log (cos im)) re) (+ (log (cos im)) re) (exp (* (exp re) (cos im))) (pow (* (exp re) (cos im)) 3) (* (cbrt (* (exp re) (cos im))) (cbrt (* (exp re) (cos im)))) (cbrt (* (exp re) (cos im))) (pow (* (exp re) (cos im)) 3) (sqrt (* (exp re) (cos im))) (sqrt (* (exp re) (cos im))) (* (sqrt (exp re)) (sqrt (cos im))) (* (sqrt (exp re)) (sqrt (cos im))) (* (exp re) (* (cbrt (cos im)) (cbrt (cos im)))) (* (exp re) (sqrt (cos im))) (exp re) (* (cbrt (exp re)) (cos im)) (* (sqrt (exp re)) (cos im)) (* (exp re) (cos im)) (fma re (fma 1/2 re 1) 1) (* (exp re) (cos im)) (* (exp re) (cos im)) 0.242 * * * [progress]: adding candidates to table 0.287 * * [progress]: iteration 2 / 4 0.287 * * * [progress]: picking best candidate 0.289 * * * * [pick]: Picked # 0.289 * * * [progress]: localizing error 0.296 * * * [progress]: generating rewritten candidates 0.296 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1 1) 0.297 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.308 * * * [progress]: generating series expansions 0.308 * * * * [progress]: [ 1 / 2 ] generating series at (2 1 1) 0.308 * [approximate]: Taking taylor expansion of (log (cos im)) in (im) around 0 0.308 * [taylor]: Taking taylor expansion of (log (cos im)) in im 0.308 * [taylor]: Taking taylor expansion of (cos im) in im 0.308 * [taylor]: Taking taylor expansion of im in im 0.308 * [taylor]: Taking taylor expansion of (log (cos im)) in im 0.308 * [taylor]: Taking taylor expansion of (cos im) in im 0.308 * [taylor]: Taking taylor expansion of im in im 0.355 * [approximate]: Taking taylor expansion of (log (cos (/ 1 im))) in (im) around 0 0.355 * [taylor]: Taking taylor expansion of (log (cos (/ 1 im))) in im 0.355 * [taylor]: Taking taylor expansion of (cos (/ 1 im)) in im 0.355 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.355 * [taylor]: Taking taylor expansion of im in im 0.355 * [taylor]: Taking taylor expansion of (log (cos (/ 1 im))) in im 0.355 * [taylor]: Taking taylor expansion of (cos (/ 1 im)) in im 0.355 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.355 * [taylor]: Taking taylor expansion of im in im 0.374 * [approximate]: Taking taylor expansion of (log (cos (/ -1 im))) in (im) around 0 0.374 * [taylor]: Taking taylor expansion of (log (cos (/ -1 im))) in im 0.374 * [taylor]: Taking taylor expansion of (cos (/ -1 im)) in im 0.374 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.374 * [taylor]: Taking taylor expansion of -1 in im 0.374 * [taylor]: Taking taylor expansion of im in im 0.374 * [taylor]: Taking taylor expansion of (log (cos (/ -1 im))) in im 0.374 * [taylor]: Taking taylor expansion of (cos (/ -1 im)) in im 0.374 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.374 * [taylor]: Taking taylor expansion of -1 in im 0.374 * [taylor]: Taking taylor expansion of im in im 0.393 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.393 * [approximate]: Taking taylor expansion of (exp (+ re (log (cos im)))) in (im re) around 0 0.393 * [taylor]: Taking taylor expansion of (exp (+ re (log (cos im)))) in re 0.393 * [taylor]: Taking taylor expansion of (+ re (log (cos im))) in re 0.393 * [taylor]: Taking taylor expansion of re in re 0.393 * [taylor]: Taking taylor expansion of (log (cos im)) in re 0.393 * [taylor]: Taking taylor expansion of (cos im) in re 0.393 * [taylor]: Taking taylor expansion of im in re 0.393 * [taylor]: Taking taylor expansion of (exp (+ re (log (cos im)))) in im 0.393 * [taylor]: Taking taylor expansion of (+ re (log (cos im))) in im 0.393 * [taylor]: Taking taylor expansion of re in im 0.393 * [taylor]: Taking taylor expansion of (log (cos im)) in im 0.393 * [taylor]: Taking taylor expansion of (cos im) in im 0.393 * [taylor]: Taking taylor expansion of im in im 0.394 * [taylor]: Taking taylor expansion of (exp (+ re (log (cos im)))) in im 0.394 * [taylor]: Taking taylor expansion of (+ re (log (cos im))) in im 0.394 * [taylor]: Taking taylor expansion of re in im 0.394 * [taylor]: Taking taylor expansion of (log (cos im)) in im 0.394 * [taylor]: Taking taylor expansion of (cos im) in im 0.394 * [taylor]: Taking taylor expansion of im in im 0.394 * [taylor]: Taking taylor expansion of (exp re) in re 0.394 * [taylor]: Taking taylor expansion of re in re 0.396 * [taylor]: Taking taylor expansion of 0 in re 0.399 * [taylor]: Taking taylor expansion of (* -1/2 (exp re)) in re 0.399 * [taylor]: Taking taylor expansion of -1/2 in re 0.399 * [taylor]: Taking taylor expansion of (exp re) in re 0.399 * [taylor]: Taking taylor expansion of re in re 0.400 * [approximate]: Taking taylor expansion of (exp (+ (log (cos (/ 1 im))) (/ 1 re))) in (im re) around 0 0.400 * [taylor]: Taking taylor expansion of (exp (+ (log (cos (/ 1 im))) (/ 1 re))) in re 0.400 * [taylor]: Taking taylor expansion of (+ (log (cos (/ 1 im))) (/ 1 re)) in re 0.400 * [taylor]: Taking taylor expansion of (log (cos (/ 1 im))) in re 0.400 * [taylor]: Taking taylor expansion of (cos (/ 1 im)) in re 0.400 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.400 * [taylor]: Taking taylor expansion of im in re 0.401 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.401 * [taylor]: Taking taylor expansion of re in re 0.401 * [taylor]: Taking taylor expansion of (exp (+ (log (cos (/ 1 im))) (/ 1 re))) in im 0.401 * [taylor]: Taking taylor expansion of (+ (log (cos (/ 1 im))) (/ 1 re)) in im 0.401 * [taylor]: Taking taylor expansion of (log (cos (/ 1 im))) in im 0.401 * [taylor]: Taking taylor expansion of (cos (/ 1 im)) in im 0.402 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.402 * [taylor]: Taking taylor expansion of im in im 0.402 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.402 * [taylor]: Taking taylor expansion of re in im 0.402 * [taylor]: Taking taylor expansion of (exp (+ (log (cos (/ 1 im))) (/ 1 re))) in im 0.402 * [taylor]: Taking taylor expansion of (+ (log (cos (/ 1 im))) (/ 1 re)) in im 0.402 * [taylor]: Taking taylor expansion of (log (cos (/ 1 im))) in im 0.402 * [taylor]: Taking taylor expansion of (cos (/ 1 im)) in im 0.402 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.402 * [taylor]: Taking taylor expansion of im in im 0.402 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.403 * [taylor]: Taking taylor expansion of re in im 0.403 * [taylor]: Taking taylor expansion of (exp (+ (log (cos (/ 1 im))) (/ 1 re))) in re 0.403 * [taylor]: Taking taylor expansion of (+ (log (cos (/ 1 im))) (/ 1 re)) in re 0.403 * [taylor]: Taking taylor expansion of (log (cos (/ 1 im))) in re 0.403 * [taylor]: Taking taylor expansion of (cos (/ 1 im)) in re 0.403 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.403 * [taylor]: Taking taylor expansion of im in re 0.403 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.403 * [taylor]: Taking taylor expansion of re in re 0.406 * [taylor]: Taking taylor expansion of 0 in re 0.408 * [taylor]: Taking taylor expansion of 0 in re 0.416 * [taylor]: Taking taylor expansion of 0 in re 0.417 * [approximate]: Taking taylor expansion of (exp (- (log (cos (/ -1 im))) (/ 1 re))) in (im re) around 0 0.417 * [taylor]: Taking taylor expansion of (exp (- (log (cos (/ -1 im))) (/ 1 re))) in re 0.417 * [taylor]: Taking taylor expansion of (- (log (cos (/ -1 im))) (/ 1 re)) in re 0.417 * [taylor]: Taking taylor expansion of (log (cos (/ -1 im))) in re 0.417 * [taylor]: Taking taylor expansion of (cos (/ -1 im)) in re 0.417 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.417 * [taylor]: Taking taylor expansion of -1 in re 0.417 * [taylor]: Taking taylor expansion of im in re 0.417 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.417 * [taylor]: Taking taylor expansion of re in re 0.418 * [taylor]: Taking taylor expansion of (exp (- (log (cos (/ -1 im))) (/ 1 re))) in im 0.418 * [taylor]: Taking taylor expansion of (- (log (cos (/ -1 im))) (/ 1 re)) in im 0.418 * [taylor]: Taking taylor expansion of (log (cos (/ -1 im))) in im 0.418 * [taylor]: Taking taylor expansion of (cos (/ -1 im)) in im 0.418 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.418 * [taylor]: Taking taylor expansion of -1 in im 0.418 * [taylor]: Taking taylor expansion of im in im 0.419 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.419 * [taylor]: Taking taylor expansion of re in im 0.419 * [taylor]: Taking taylor expansion of (exp (- (log (cos (/ -1 im))) (/ 1 re))) in im 0.419 * [taylor]: Taking taylor expansion of (- (log (cos (/ -1 im))) (/ 1 re)) in im 0.419 * [taylor]: Taking taylor expansion of (log (cos (/ -1 im))) in im 0.419 * [taylor]: Taking taylor expansion of (cos (/ -1 im)) in im 0.419 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.419 * [taylor]: Taking taylor expansion of -1 in im 0.419 * [taylor]: Taking taylor expansion of im in im 0.419 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.419 * [taylor]: Taking taylor expansion of re in im 0.420 * [taylor]: Taking taylor expansion of (exp (- (log (cos (/ -1 im))) (/ 1 re))) in re 0.420 * [taylor]: Taking taylor expansion of (- (log (cos (/ -1 im))) (/ 1 re)) in re 0.420 * [taylor]: Taking taylor expansion of (log (cos (/ -1 im))) in re 0.420 * [taylor]: Taking taylor expansion of (cos (/ -1 im)) in re 0.420 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.420 * [taylor]: Taking taylor expansion of -1 in re 0.420 * [taylor]: Taking taylor expansion of im in re 0.420 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.420 * [taylor]: Taking taylor expansion of re in re 0.423 * [taylor]: Taking taylor expansion of 0 in re 0.425 * [taylor]: Taking taylor expansion of 0 in re 0.428 * [taylor]: Taking taylor expansion of 0 in re 0.429 * * * [progress]: simplifying candidates 0.429 * [simplify]: Simplifying using # : (expm1 (log (cos im))) (log1p (log (cos im))) (log (* (cbrt (cos im)) (cbrt (cos im)))) (log (cbrt (cos im))) (log (sqrt (cos im))) (log (sqrt (cos im))) (log 1) (log (cos im)) (log (cos im)) (log (log (cos im))) (exp (log (cos im))) (* (cbrt (log (cos im))) (cbrt (log (cos im)))) (cbrt (log (cos im))) (* (* (log (cos im)) (log (cos im))) (log (cos im))) (sqrt (log (cos im))) (sqrt (log (cos im))) (expm1 (exp (+ (log (cos im)) re))) (log1p (exp (+ (log (cos im)) re))) (exp (* (cbrt (+ (log (cos im)) re)) (cbrt (+ (log (cos im)) re)))) (exp (sqrt (+ (log (cos im)) re))) (exp 1) (exp 1) (exp 1) (exp (log (cos im))) (exp re) (log (exp (+ (log (cos im)) re))) (exp (exp (+ (log (cos im)) re))) (* (cbrt (exp (+ (log (cos im)) re))) (cbrt (exp (+ (log (cos im)) re)))) (cbrt (exp (+ (log (cos im)) re))) (* (* (exp (+ (log (cos im)) re)) (exp (+ (log (cos im)) re))) (exp (+ (log (cos im)) re))) (sqrt (exp (+ (log (cos im)) re))) (sqrt (exp (+ (log (cos im)) re))) (- (+ (* 1/12 (pow im 4)) (+ (* 1/45 (pow im 6)) (* 1/2 (pow im 2))))) (log (cos im)) (log (cos im)) (- (+ re 1) (* 1/2 (pow im 2))) (exp (+ re (log (cos im)))) (exp (+ re (log (cos im)))) 0.432 * * [simplify]: iteration 0 : 97 enodes (cost 153 ) 0.434 * * [simplify]: iteration 1 : 252 enodes (cost 135 ) 0.439 * * [simplify]: iteration 2 : 860 enodes (cost 135 ) 0.459 * * [simplify]: iteration 3 : 3778 enodes (cost 132 ) 0.566 * * [simplify]: iteration 4 : 5001 enodes (cost 132 ) 0.567 * [simplify]: Simplified to: (expm1 (log (cos im))) (log1p (log (cos im))) (* 2 (log (cbrt (cos im)))) (log (cbrt (cos im))) (log (sqrt (cos im))) (log (sqrt (cos im))) 0 (log (cos im)) (log (cos im)) (log (log (cos im))) (cos im) (* (cbrt (log (cos im))) (cbrt (log (cos im)))) (cbrt (log (cos im))) (pow (log (cos im)) 3) (sqrt (log (cos im))) (sqrt (log (cos im))) (expm1 (exp (+ (log (cos im)) re))) (log1p (exp (+ (log (cos im)) re))) (exp (* (cbrt (+ (log (cos im)) re)) (cbrt (+ (log (cos im)) re)))) (exp (sqrt (+ (log (cos im)) re))) E E E (cos im) (exp re) (+ (log (cos im)) re) (pow (exp (cos im)) (exp re)) (* (cbrt (exp (+ (log (cos im)) re))) (cbrt (exp (+ (log (cos im)) re)))) (cbrt (exp (+ (log (cos im)) re))) (pow (exp (+ re (log (cos im)))) 3) (sqrt (exp (+ (log (cos im)) re))) (sqrt (exp (+ (log (cos im)) re))) (- (- (* 1/12 (pow im 4))) (fma 1/45 (pow im 6) (* 1/2 (pow im 2)))) (log (cos im)) (log (cos im)) (fma 1/2 (- 2 (pow im 2)) re) (* (cos im) (exp re)) (* (cos im) (exp re)) 0.567 * * * [progress]: adding candidates to table 0.640 * * [progress]: iteration 3 / 4 0.640 * * * [progress]: picking best candidate 0.642 * * * * [pick]: Picked # 0.642 * * * [progress]: localizing error 0.652 * * * [progress]: generating rewritten candidates 0.652 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.654 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1 1) 0.656 * * * [progress]: generating series expansions 0.656 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.656 * [approximate]: Taking taylor expansion of (log (pow (exp (cos im)) (exp re))) in (im re) around 0 0.656 * [taylor]: Taking taylor expansion of (log (pow (exp (cos im)) (exp re))) in re 0.656 * [taylor]: Taking taylor expansion of (pow (exp (cos im)) (exp re)) in re 0.656 * [taylor]: Taking taylor expansion of (exp (* (exp re) (log (exp (cos im))))) in re 0.656 * [taylor]: Taking taylor expansion of (* (exp re) (log (exp (cos im)))) in re 0.656 * [taylor]: Taking taylor expansion of (exp re) in re 0.656 * [taylor]: Taking taylor expansion of re in re 0.656 * [taylor]: Taking taylor expansion of (log (exp (cos im))) in re 0.656 * [taylor]: Taking taylor expansion of (exp (cos im)) in re 0.656 * [taylor]: Taking taylor expansion of (cos im) in re 0.656 * [taylor]: Taking taylor expansion of im in re 0.657 * [taylor]: Taking taylor expansion of (log (pow (exp (cos im)) (exp re))) in im 0.657 * [taylor]: Taking taylor expansion of (pow (exp (cos im)) (exp re)) in im 0.657 * [taylor]: Taking taylor expansion of (exp (* (exp re) (log (exp (cos im))))) in im 0.657 * [taylor]: Taking taylor expansion of (* (exp re) (log (exp (cos im)))) in im 0.657 * [taylor]: Taking taylor expansion of (exp re) in im 0.657 * [taylor]: Taking taylor expansion of re in im 0.657 * [taylor]: Taking taylor expansion of (log (exp (cos im))) in im 0.657 * [taylor]: Taking taylor expansion of (exp (cos im)) in im 0.657 * [taylor]: Taking taylor expansion of (cos im) in im 0.657 * [taylor]: Taking taylor expansion of im in im 0.657 * [taylor]: Taking taylor expansion of (log (pow (exp (cos im)) (exp re))) in im 0.657 * [taylor]: Taking taylor expansion of (pow (exp (cos im)) (exp re)) in im 0.657 * [taylor]: Taking taylor expansion of (exp (* (exp re) (log (exp (cos im))))) in im 0.657 * [taylor]: Taking taylor expansion of (* (exp re) (log (exp (cos im)))) in im 0.657 * [taylor]: Taking taylor expansion of (exp re) in im 0.657 * [taylor]: Taking taylor expansion of re in im 0.657 * [taylor]: Taking taylor expansion of (log (exp (cos im))) in im 0.657 * [taylor]: Taking taylor expansion of (exp (cos im)) in im 0.657 * [taylor]: Taking taylor expansion of (cos im) in im 0.657 * [taylor]: Taking taylor expansion of im in im 0.658 * [taylor]: Taking taylor expansion of (exp re) in re 0.658 * [taylor]: Taking taylor expansion of re in re 0.661 * [taylor]: Taking taylor expansion of 0 in re 0.677 * [taylor]: Taking taylor expansion of (* -1/2 (exp re)) in re 0.677 * [taylor]: Taking taylor expansion of -1/2 in re 0.677 * [taylor]: Taking taylor expansion of (exp re) in re 0.677 * [taylor]: Taking taylor expansion of re in re 0.677 * [approximate]: Taking taylor expansion of (log (pow (exp (cos (/ 1 im))) (exp (/ 1 re)))) in (im re) around 0 0.677 * [taylor]: Taking taylor expansion of (log (pow (exp (cos (/ 1 im))) (exp (/ 1 re)))) in re 0.677 * [taylor]: Taking taylor expansion of (pow (exp (cos (/ 1 im))) (exp (/ 1 re))) in re 0.677 * [taylor]: Taking taylor expansion of (exp (* (exp (/ 1 re)) (log (exp (cos (/ 1 im)))))) in re 0.677 * [taylor]: Taking taylor expansion of (* (exp (/ 1 re)) (log (exp (cos (/ 1 im))))) in re 0.677 * [taylor]: Taking taylor expansion of (exp (/ 1 re)) in re 0.677 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.678 * [taylor]: Taking taylor expansion of re in re 0.678 * [taylor]: Taking taylor expansion of (log (exp (cos (/ 1 im)))) in re 0.678 * [taylor]: Taking taylor expansion of (exp (cos (/ 1 im))) in re 0.678 * [taylor]: Taking taylor expansion of (cos (/ 1 im)) in re 0.678 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.678 * [taylor]: Taking taylor expansion of im in re 0.679 * [taylor]: Taking taylor expansion of (log (pow (exp (cos (/ 1 im))) (exp (/ 1 re)))) in im 0.679 * [taylor]: Taking taylor expansion of (pow (exp (cos (/ 1 im))) (exp (/ 1 re))) in im 0.679 * [taylor]: Taking taylor expansion of (exp (* (exp (/ 1 re)) (log (exp (cos (/ 1 im)))))) in im 0.679 * [taylor]: Taking taylor expansion of (* (exp (/ 1 re)) (log (exp (cos (/ 1 im))))) in im 0.679 * [taylor]: Taking taylor expansion of (exp (/ 1 re)) in im 0.679 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.679 * [taylor]: Taking taylor expansion of re in im 0.679 * [taylor]: Taking taylor expansion of (log (exp (cos (/ 1 im)))) in im 0.679 * [taylor]: Taking taylor expansion of (exp (cos (/ 1 im))) in im 0.679 * [taylor]: Taking taylor expansion of (cos (/ 1 im)) in im 0.679 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.679 * [taylor]: Taking taylor expansion of im in im 0.680 * [taylor]: Taking taylor expansion of (log (pow (exp (cos (/ 1 im))) (exp (/ 1 re)))) in im 0.680 * [taylor]: Taking taylor expansion of (pow (exp (cos (/ 1 im))) (exp (/ 1 re))) in im 0.680 * [taylor]: Taking taylor expansion of (exp (* (exp (/ 1 re)) (log (exp (cos (/ 1 im)))))) in im 0.680 * [taylor]: Taking taylor expansion of (* (exp (/ 1 re)) (log (exp (cos (/ 1 im))))) in im 0.680 * [taylor]: Taking taylor expansion of (exp (/ 1 re)) in im 0.680 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.680 * [taylor]: Taking taylor expansion of re in im 0.680 * [taylor]: Taking taylor expansion of (log (exp (cos (/ 1 im)))) in im 0.680 * [taylor]: Taking taylor expansion of (exp (cos (/ 1 im))) in im 0.680 * [taylor]: Taking taylor expansion of (cos (/ 1 im)) in im 0.680 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.680 * [taylor]: Taking taylor expansion of im in im 0.681 * [taylor]: Taking taylor expansion of (* (exp (/ 1 re)) (cos (/ 1 im))) in re 0.681 * [taylor]: Taking taylor expansion of (exp (/ 1 re)) in re 0.681 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.681 * [taylor]: Taking taylor expansion of re in re 0.681 * [taylor]: Taking taylor expansion of (cos (/ 1 im)) in re 0.681 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.681 * [taylor]: Taking taylor expansion of im in re 0.684 * [taylor]: Taking taylor expansion of 0 in re 0.691 * [taylor]: Taking taylor expansion of 0 in re 0.700 * [taylor]: Taking taylor expansion of 0 in re 0.701 * [approximate]: Taking taylor expansion of (log (pow (exp (cos (/ -1 im))) (exp (/ -1 re)))) in (im re) around 0 0.701 * [taylor]: Taking taylor expansion of (log (pow (exp (cos (/ -1 im))) (exp (/ -1 re)))) in re 0.701 * [taylor]: Taking taylor expansion of (pow (exp (cos (/ -1 im))) (exp (/ -1 re))) in re 0.701 * [taylor]: Taking taylor expansion of (exp (* (exp (/ -1 re)) (log (exp (cos (/ -1 im)))))) in re 0.701 * [taylor]: Taking taylor expansion of (* (exp (/ -1 re)) (log (exp (cos (/ -1 im))))) in re 0.701 * [taylor]: Taking taylor expansion of (exp (/ -1 re)) in re 0.701 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.701 * [taylor]: Taking taylor expansion of -1 in re 0.701 * [taylor]: Taking taylor expansion of re in re 0.701 * [taylor]: Taking taylor expansion of (log (exp (cos (/ -1 im)))) in re 0.701 * [taylor]: Taking taylor expansion of (exp (cos (/ -1 im))) in re 0.701 * [taylor]: Taking taylor expansion of (cos (/ -1 im)) in re 0.701 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.701 * [taylor]: Taking taylor expansion of -1 in re 0.701 * [taylor]: Taking taylor expansion of im in re 0.702 * [taylor]: Taking taylor expansion of (log (pow (exp (cos (/ -1 im))) (exp (/ -1 re)))) in im 0.702 * [taylor]: Taking taylor expansion of (pow (exp (cos (/ -1 im))) (exp (/ -1 re))) in im 0.702 * [taylor]: Taking taylor expansion of (exp (* (exp (/ -1 re)) (log (exp (cos (/ -1 im)))))) in im 0.702 * [taylor]: Taking taylor expansion of (* (exp (/ -1 re)) (log (exp (cos (/ -1 im))))) in im 0.702 * [taylor]: Taking taylor expansion of (exp (/ -1 re)) in im 0.702 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.702 * [taylor]: Taking taylor expansion of -1 in im 0.702 * [taylor]: Taking taylor expansion of re in im 0.702 * [taylor]: Taking taylor expansion of (log (exp (cos (/ -1 im)))) in im 0.702 * [taylor]: Taking taylor expansion of (exp (cos (/ -1 im))) in im 0.702 * [taylor]: Taking taylor expansion of (cos (/ -1 im)) in im 0.702 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.702 * [taylor]: Taking taylor expansion of -1 in im 0.702 * [taylor]: Taking taylor expansion of im in im 0.703 * [taylor]: Taking taylor expansion of (log (pow (exp (cos (/ -1 im))) (exp (/ -1 re)))) in im 0.703 * [taylor]: Taking taylor expansion of (pow (exp (cos (/ -1 im))) (exp (/ -1 re))) in im 0.703 * [taylor]: Taking taylor expansion of (exp (* (exp (/ -1 re)) (log (exp (cos (/ -1 im)))))) in im 0.703 * [taylor]: Taking taylor expansion of (* (exp (/ -1 re)) (log (exp (cos (/ -1 im))))) in im 0.703 * [taylor]: Taking taylor expansion of (exp (/ -1 re)) in im 0.703 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.703 * [taylor]: Taking taylor expansion of -1 in im 0.703 * [taylor]: Taking taylor expansion of re in im 0.703 * [taylor]: Taking taylor expansion of (log (exp (cos (/ -1 im)))) in im 0.703 * [taylor]: Taking taylor expansion of (exp (cos (/ -1 im))) in im 0.703 * [taylor]: Taking taylor expansion of (cos (/ -1 im)) in im 0.703 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.703 * [taylor]: Taking taylor expansion of -1 in im 0.703 * [taylor]: Taking taylor expansion of im in im 0.704 * [taylor]: Taking taylor expansion of (* (exp (/ -1 re)) (cos (/ -1 im))) in re 0.704 * [taylor]: Taking taylor expansion of (exp (/ -1 re)) in re 0.704 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.704 * [taylor]: Taking taylor expansion of -1 in re 0.704 * [taylor]: Taking taylor expansion of re in re 0.704 * [taylor]: Taking taylor expansion of (cos (/ -1 im)) in re 0.704 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.704 * [taylor]: Taking taylor expansion of -1 in re 0.704 * [taylor]: Taking taylor expansion of im in re 0.708 * [taylor]: Taking taylor expansion of 0 in re 0.714 * [taylor]: Taking taylor expansion of 0 in re 0.724 * [taylor]: Taking taylor expansion of 0 in re 0.724 * * * * [progress]: [ 2 / 2 ] generating series at (2 1 1) 0.724 * [approximate]: Taking taylor expansion of (exp (cos im)) in (im) around 0 0.724 * [taylor]: Taking taylor expansion of (exp (cos im)) in im 0.724 * [taylor]: Taking taylor expansion of (cos im) in im 0.724 * [taylor]: Taking taylor expansion of im in im 0.724 * [taylor]: Taking taylor expansion of (exp (cos im)) in im 0.724 * [taylor]: Taking taylor expansion of (cos im) in im 0.724 * [taylor]: Taking taylor expansion of im in im 0.736 * [approximate]: Taking taylor expansion of (exp (cos (/ 1 im))) in (im) around 0 0.736 * [taylor]: Taking taylor expansion of (exp (cos (/ 1 im))) in im 0.736 * [taylor]: Taking taylor expansion of (cos (/ 1 im)) in im 0.736 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.736 * [taylor]: Taking taylor expansion of im in im 0.736 * [taylor]: Taking taylor expansion of (exp (cos (/ 1 im))) in im 0.736 * [taylor]: Taking taylor expansion of (cos (/ 1 im)) in im 0.737 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.737 * [taylor]: Taking taylor expansion of im in im 0.745 * [approximate]: Taking taylor expansion of (exp (cos (/ -1 im))) in (im) around 0 0.745 * [taylor]: Taking taylor expansion of (exp (cos (/ -1 im))) in im 0.745 * [taylor]: Taking taylor expansion of (cos (/ -1 im)) in im 0.745 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.745 * [taylor]: Taking taylor expansion of -1 in im 0.745 * [taylor]: Taking taylor expansion of im in im 0.745 * [taylor]: Taking taylor expansion of (exp (cos (/ -1 im))) in im 0.745 * [taylor]: Taking taylor expansion of (cos (/ -1 im)) in im 0.745 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.745 * [taylor]: Taking taylor expansion of -1 in im 0.745 * [taylor]: Taking taylor expansion of im in im 0.759 * * * [progress]: simplifying candidates 0.759 * [simplify]: Simplifying using # : (expm1 (log (pow (exp (cos im)) (exp re)))) (log1p (log (pow (exp (cos im)) (exp re)))) (log (pow (* (cbrt (exp (cos im))) (cbrt (exp (cos im)))) (exp re))) (log (pow (cbrt (exp (cos im))) (exp re))) (log (pow (sqrt (exp (cos im))) (exp re))) (log (pow (sqrt (exp (cos im))) (exp re))) (log (pow 1 (exp re))) (log (pow (exp (cos im)) (exp re))) (log (* (cbrt (pow (exp (cos im)) (exp re))) (cbrt (pow (exp (cos im)) (exp re))))) (log (cbrt (pow (exp (cos im)) (exp re)))) (log (sqrt (pow (exp (cos im)) (exp re)))) (log (sqrt (pow (exp (cos im)) (exp re)))) (log 1) (log (pow (exp (cos im)) (exp re))) (log (pow (exp (cos im)) (/ (exp re) 2))) (log (pow (exp (cos im)) (/ (exp re) 2))) (log (exp (cos im))) (log (log (pow (exp (cos im)) (exp re)))) (exp (log (pow (exp (cos im)) (exp re)))) (* (cbrt (log (pow (exp (cos im)) (exp re)))) (cbrt (log (pow (exp (cos im)) (exp re))))) (cbrt (log (pow (exp (cos im)) (exp re)))) (* (* (log (pow (exp (cos im)) (exp re))) (log (pow (exp (cos im)) (exp re)))) (log (pow (exp (cos im)) (exp re)))) (sqrt (log (pow (exp (cos im)) (exp re)))) (sqrt (log (pow (exp (cos im)) (exp re)))) (expm1 (exp (cos im))) (log1p (exp (cos im))) (exp (* (cbrt (cos im)) (cbrt (cos im)))) (exp (sqrt (cos im))) (exp 1) (log (exp (cos im))) (exp (exp (cos im))) (* (cbrt (exp (cos im))) (cbrt (exp (cos im)))) (cbrt (exp (cos im))) (* (* (exp (cos im)) (exp (cos im))) (exp (cos im))) (sqrt (exp (cos im))) (sqrt (exp (cos im))) (- (+ re 1) (* 1/2 (pow im 2))) (* (cos im) (exp re)) (* (cos im) (exp re)) (- (+ (* 1/6 (* E (pow im 4))) E) (* 1/2 (* E (pow im 2)))) (exp (cos im)) (exp (cos im)) 0.762 * * [simplify]: iteration 0 : 126 enodes (cost 213 ) 0.765 * * [simplify]: iteration 1 : 368 enodes (cost 183 ) 0.770 * * [simplify]: iteration 2 : 1129 enodes (cost 183 ) 0.797 * * [simplify]: iteration 3 : 5001 enodes (cost 174 ) 0.798 * [simplify]: Simplified to: (expm1 (log (pow (exp (cos im)) (exp re)))) (log1p (log (pow (exp (cos im)) (exp re)))) (* 2 (log (pow (cbrt (exp (cos im))) (exp re)))) (log (pow (cbrt (exp (cos im))) (exp re))) (log (pow (sqrt (exp (cos im))) (exp re))) (log (pow (sqrt (exp (cos im))) (exp re))) 0 (* (cos im) (exp re)) (* 2 (log (cbrt (pow (exp (cos im)) (exp re))))) (log (cbrt (pow (exp (cos im)) (exp re)))) (/ (* (cos im) (exp re)) 2) (/ (* (cos im) (exp re)) 2) 0 (* (cos im) (exp re)) (/ (* (cos im) (exp re)) 2) (/ (* (cos im) (exp re)) 2) (cos im) (+ (log (exp re)) (log (cos im))) (pow (exp (cos im)) (exp re)) (* (cbrt (log (pow (exp (cos im)) (exp re)))) (cbrt (log (pow (exp (cos im)) (exp re))))) (cbrt (log (pow (exp (cos im)) (exp re)))) (pow (* (cos im) (exp re)) 3) (sqrt (log (pow (exp (cos im)) (exp re)))) (sqrt (log (pow (exp (cos im)) (exp re)))) (expm1 (exp (cos im))) (log1p (exp (cos im))) (exp (* (cbrt (cos im)) (cbrt (cos im)))) (exp (sqrt (cos im))) E (cos im) (exp (exp (cos im))) (* (cbrt (exp (cos im))) (cbrt (exp (cos im)))) (cbrt (exp (cos im))) (pow (exp (cos im)) 3) (sqrt (exp (cos im))) (sqrt (exp (cos im))) (fma 1/2 (- 2 (pow im 2)) re) (* (cos im) (exp re)) (* (cos im) (exp re)) (fma E (- (* 1/6 (pow im 4)) (* 1/2 (pow im 2))) E) (exp (cos im)) (exp (cos im)) 0.798 * * * [progress]: adding candidates to table 0.885 * * [progress]: iteration 4 / 4 0.885 * * * [progress]: picking best candidate 0.889 * * * * [pick]: Picked # 0.890 * * * [progress]: localizing error 0.899 * * * [progress]: generating rewritten candidates 0.899 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.900 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1) 0.902 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.910 * * * [progress]: generating series expansions 0.910 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.910 * [approximate]: Taking taylor expansion of (cos im) in (im) around 0 0.910 * [taylor]: Taking taylor expansion of (cos im) in im 0.910 * [taylor]: Taking taylor expansion of im in im 0.910 * [taylor]: Taking taylor expansion of (cos im) in im 0.910 * [taylor]: Taking taylor expansion of im in im 0.914 * [approximate]: Taking taylor expansion of (cos (/ 1 im)) in (im) around 0 0.914 * [taylor]: Taking taylor expansion of (cos (/ 1 im)) in im 0.914 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.914 * [taylor]: Taking taylor expansion of im in im 0.914 * [taylor]: Taking taylor expansion of (cos (/ 1 im)) in im 0.914 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.914 * [taylor]: Taking taylor expansion of im in im 0.915 * [approximate]: Taking taylor expansion of (cos (/ -1 im)) in (im) around 0 0.915 * [taylor]: Taking taylor expansion of (cos (/ -1 im)) in im 0.915 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.915 * [taylor]: Taking taylor expansion of -1 in im 0.915 * [taylor]: Taking taylor expansion of im in im 0.915 * [taylor]: Taking taylor expansion of (cos (/ -1 im)) in im 0.915 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.915 * [taylor]: Taking taylor expansion of -1 in im 0.915 * [taylor]: Taking taylor expansion of im in im 0.916 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1) 0.916 * [approximate]: Taking taylor expansion of (exp (cos im)) in (im) around 0 0.916 * [taylor]: Taking taylor expansion of (exp (cos im)) in im 0.916 * [taylor]: Taking taylor expansion of (cos im) in im 0.916 * [taylor]: Taking taylor expansion of im in im 0.916 * [taylor]: Taking taylor expansion of (exp (cos im)) in im 0.916 * [taylor]: Taking taylor expansion of (cos im) in im 0.916 * [taylor]: Taking taylor expansion of im in im 0.928 * [approximate]: Taking taylor expansion of (exp (cos (/ 1 im))) in (im) around 0 0.928 * [taylor]: Taking taylor expansion of (exp (cos (/ 1 im))) in im 0.928 * [taylor]: Taking taylor expansion of (cos (/ 1 im)) in im 0.928 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.928 * [taylor]: Taking taylor expansion of im in im 0.928 * [taylor]: Taking taylor expansion of (exp (cos (/ 1 im))) in im 0.928 * [taylor]: Taking taylor expansion of (cos (/ 1 im)) in im 0.928 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.928 * [taylor]: Taking taylor expansion of im in im 0.937 * [approximate]: Taking taylor expansion of (exp (cos (/ -1 im))) in (im) around 0 0.937 * [taylor]: Taking taylor expansion of (exp (cos (/ -1 im))) in im 0.937 * [taylor]: Taking taylor expansion of (cos (/ -1 im)) in im 0.937 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.937 * [taylor]: Taking taylor expansion of -1 in im 0.937 * [taylor]: Taking taylor expansion of im in im 0.937 * [taylor]: Taking taylor expansion of (exp (cos (/ -1 im))) in im 0.937 * [taylor]: Taking taylor expansion of (cos (/ -1 im)) in im 0.937 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.937 * [taylor]: Taking taylor expansion of -1 in im 0.937 * [taylor]: Taking taylor expansion of im in im 0.946 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.946 * [approximate]: Taking taylor expansion of (* (cos im) (exp re)) in (im re) around 0 0.946 * [taylor]: Taking taylor expansion of (* (cos im) (exp re)) in re 0.946 * [taylor]: Taking taylor expansion of (cos im) in re 0.946 * [taylor]: Taking taylor expansion of im in re 0.946 * [taylor]: Taking taylor expansion of (exp re) in re 0.946 * [taylor]: Taking taylor expansion of re in re 0.946 * [taylor]: Taking taylor expansion of (* (cos im) (exp re)) in im 0.946 * [taylor]: Taking taylor expansion of (cos im) in im 0.946 * [taylor]: Taking taylor expansion of im in im 0.946 * [taylor]: Taking taylor expansion of (exp re) in im 0.946 * [taylor]: Taking taylor expansion of re in im 0.946 * [taylor]: Taking taylor expansion of (* (cos im) (exp re)) in im 0.946 * [taylor]: Taking taylor expansion of (cos im) in im 0.946 * [taylor]: Taking taylor expansion of im in im 0.946 * [taylor]: Taking taylor expansion of (exp re) in im 0.946 * [taylor]: Taking taylor expansion of re in im 0.946 * [taylor]: Taking taylor expansion of (exp re) in re 0.946 * [taylor]: Taking taylor expansion of re in re 0.947 * [taylor]: Taking taylor expansion of 0 in re 0.950 * [taylor]: Taking taylor expansion of (- (* 1/2 (exp re))) in re 0.950 * [taylor]: Taking taylor expansion of (* 1/2 (exp re)) in re 0.950 * [taylor]: Taking taylor expansion of 1/2 in re 0.950 * [taylor]: Taking taylor expansion of (exp re) in re 0.950 * [taylor]: Taking taylor expansion of re in re 0.951 * [approximate]: Taking taylor expansion of (* (exp (/ 1 re)) (cos (/ 1 im))) in (im re) around 0 0.951 * [taylor]: Taking taylor expansion of (* (exp (/ 1 re)) (cos (/ 1 im))) in re 0.951 * [taylor]: Taking taylor expansion of (exp (/ 1 re)) in re 0.951 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.951 * [taylor]: Taking taylor expansion of re in re 0.951 * [taylor]: Taking taylor expansion of (cos (/ 1 im)) in re 0.951 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.951 * [taylor]: Taking taylor expansion of im in re 0.951 * [taylor]: Taking taylor expansion of (* (exp (/ 1 re)) (cos (/ 1 im))) in im 0.951 * [taylor]: Taking taylor expansion of (exp (/ 1 re)) in im 0.951 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.951 * [taylor]: Taking taylor expansion of re in im 0.951 * [taylor]: Taking taylor expansion of (cos (/ 1 im)) in im 0.951 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.951 * [taylor]: Taking taylor expansion of im in im 0.952 * [taylor]: Taking taylor expansion of (* (exp (/ 1 re)) (cos (/ 1 im))) in im 0.952 * [taylor]: Taking taylor expansion of (exp (/ 1 re)) in im 0.952 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.952 * [taylor]: Taking taylor expansion of re in im 0.952 * [taylor]: Taking taylor expansion of (cos (/ 1 im)) in im 0.952 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.952 * [taylor]: Taking taylor expansion of im in im 0.952 * [taylor]: Taking taylor expansion of (* (exp (/ 1 re)) (cos (/ 1 im))) in re 0.952 * [taylor]: Taking taylor expansion of (exp (/ 1 re)) in re 0.952 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.952 * [taylor]: Taking taylor expansion of re in re 0.952 * [taylor]: Taking taylor expansion of (cos (/ 1 im)) in re 0.952 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.952 * [taylor]: Taking taylor expansion of im in re 0.954 * [taylor]: Taking taylor expansion of 0 in re 0.957 * [taylor]: Taking taylor expansion of 0 in re 0.961 * [taylor]: Taking taylor expansion of 0 in re 0.961 * [approximate]: Taking taylor expansion of (* (exp (/ -1 re)) (cos (/ -1 im))) in (im re) around 0 0.961 * [taylor]: Taking taylor expansion of (* (exp (/ -1 re)) (cos (/ -1 im))) in re 0.961 * [taylor]: Taking taylor expansion of (exp (/ -1 re)) in re 0.961 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.961 * [taylor]: Taking taylor expansion of -1 in re 0.961 * [taylor]: Taking taylor expansion of re in re 0.961 * [taylor]: Taking taylor expansion of (cos (/ -1 im)) in re 0.961 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.961 * [taylor]: Taking taylor expansion of -1 in re 0.961 * [taylor]: Taking taylor expansion of im in re 0.962 * [taylor]: Taking taylor expansion of (* (exp (/ -1 re)) (cos (/ -1 im))) in im 0.962 * [taylor]: Taking taylor expansion of (exp (/ -1 re)) in im 0.962 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.962 * [taylor]: Taking taylor expansion of -1 in im 0.962 * [taylor]: Taking taylor expansion of re in im 0.962 * [taylor]: Taking taylor expansion of (cos (/ -1 im)) in im 0.962 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.962 * [taylor]: Taking taylor expansion of -1 in im 0.962 * [taylor]: Taking taylor expansion of im in im 0.962 * [taylor]: Taking taylor expansion of (* (exp (/ -1 re)) (cos (/ -1 im))) in im 0.962 * [taylor]: Taking taylor expansion of (exp (/ -1 re)) in im 0.962 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.962 * [taylor]: Taking taylor expansion of -1 in im 0.962 * [taylor]: Taking taylor expansion of re in im 0.962 * [taylor]: Taking taylor expansion of (cos (/ -1 im)) in im 0.962 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.962 * [taylor]: Taking taylor expansion of -1 in im 0.962 * [taylor]: Taking taylor expansion of im in im 0.963 * [taylor]: Taking taylor expansion of (* (exp (/ -1 re)) (cos (/ -1 im))) in re 0.963 * [taylor]: Taking taylor expansion of (exp (/ -1 re)) in re 0.963 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.963 * [taylor]: Taking taylor expansion of -1 in re 0.963 * [taylor]: Taking taylor expansion of re in re 0.963 * [taylor]: Taking taylor expansion of (cos (/ -1 im)) in re 0.963 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.963 * [taylor]: Taking taylor expansion of -1 in re 0.963 * [taylor]: Taking taylor expansion of im in re 0.964 * [taylor]: Taking taylor expansion of 0 in re 0.967 * [taylor]: Taking taylor expansion of 0 in re 0.976 * [taylor]: Taking taylor expansion of 0 in re 0.976 * * * [progress]: simplifying candidates 0.977 * [simplify]: Simplifying using # : (expm1 (log (exp (cos im)))) (log1p (log (exp (cos im)))) (log (* (cbrt (exp (cos im))) (cbrt (exp (cos im))))) (log (cbrt (exp (cos im)))) (log (sqrt (exp (cos im)))) (log (sqrt (exp (cos im)))) (log 1) (log (exp (cos im))) (log (exp (cos im))) (log (exp (* (cbrt (cos im)) (cbrt (cos im))))) (log (exp (sqrt (cos im)))) (log (exp 1)) (log (log (exp (cos im)))) (exp (log (exp (cos im)))) (* (cbrt (log (exp (cos im)))) (cbrt (log (exp (cos im))))) (cbrt (log (exp (cos im)))) (* (* (log (exp (cos im))) (log (exp (cos im)))) (log (exp (cos im)))) (sqrt (log (exp (cos im)))) (sqrt (log (exp (cos im)))) (expm1 (exp (cos im))) (log1p (exp (cos im))) (exp (* (cbrt (cos im)) (cbrt (cos im)))) (exp (sqrt (cos im))) (exp 1) (log (exp (cos im))) (exp (exp (cos im))) (* (cbrt (exp (cos im))) (cbrt (exp (cos im)))) (cbrt (exp (cos im))) (* (* (exp (cos im)) (exp (cos im))) (exp (cos im))) (sqrt (exp (cos im))) (sqrt (exp (cos im))) (expm1 (* (log (exp (cos im))) (exp re))) (log1p (* (log (exp (cos im))) (exp re))) (* (log (exp (cos im))) (exp re)) (+ (log (log (exp (cos im)))) re) (log (* (log (exp (cos im))) (exp re))) (exp (* (log (exp (cos im))) (exp re))) (* (* (* (log (exp (cos im))) (log (exp (cos im)))) (log (exp (cos im)))) (* (* (exp re) (exp re)) (exp re))) (* (cbrt (* (log (exp (cos im))) (exp re))) (cbrt (* (log (exp (cos im))) (exp re)))) (cbrt (* (log (exp (cos im))) (exp re))) (* (* (* (log (exp (cos im))) (exp re)) (* (log (exp (cos im))) (exp re))) (* (log (exp (cos im))) (exp re))) (sqrt (* (log (exp (cos im))) (exp re))) (sqrt (* (log (exp (cos im))) (exp re))) (* (sqrt (log (exp (cos im)))) (sqrt (exp re))) (* (sqrt (log (exp (cos im)))) (sqrt (exp re))) (* (log (exp (cos im))) (* (cbrt (exp re)) (cbrt (exp re)))) (* (log (exp (cos im))) (sqrt (exp re))) (* (log (exp (cos im))) 1) (* (log (exp (cos im))) (exp re)) (* (log (exp (* (cbrt (cos im)) (cbrt (cos im))))) (exp re)) (* (log (exp (sqrt (cos im)))) (exp re)) (* (log (exp 1)) (exp re)) (* (cbrt (log (exp (cos im)))) (exp re)) (* (sqrt (log (exp (cos im)))) (exp re)) (* (log (exp (cos im))) (exp re)) (- (+ (* 1/24 (pow im 4)) 1) (* 1/2 (pow im 2))) (cos im) (cos im) (- (+ (* 1/6 (* E (pow im 4))) E) (* 1/2 (* E (pow im 2)))) (exp (cos im)) (exp (cos im)) (- (+ re 1) (* 1/2 (pow im 2))) (* (cos im) (exp re)) (* (cos im) (exp re)) 0.980 * * [simplify]: iteration 0 : 159 enodes (cost 279 ) 0.983 * * [simplify]: iteration 1 : 456 enodes (cost 237 ) 0.991 * * [simplify]: iteration 2 : 1774 enodes (cost 233 ) 1.025 * * [simplify]: iteration 3 : 5002 enodes (cost 231 ) 1.027 * [simplify]: Simplified to: (expm1 (log (exp (cos im)))) (log1p (log (exp (cos im)))) (* 2 (log (cbrt (exp (cos im))))) (log (cbrt (exp (cos im)))) (log (pow (exp (cos im)) 1/2)) (log (pow (exp (cos im)) 1/2)) 0 (cos im) (cos im) (* (cbrt (cos im)) (cbrt (cos im))) (sqrt (cos im)) 1 (log (log (exp (cos im)))) (exp (cos im)) (* (cbrt (cos im)) (cbrt (cos im))) (cbrt (cos im)) (pow (cos im) 3) (sqrt (cos im)) (sqrt (cos im)) (expm1 (exp (cos im))) (log1p (exp (cos im))) (exp (* (cbrt (cos im)) (cbrt (cos im)))) (exp (sqrt (cos im))) E (cos im) (exp (exp (cos im))) (* (cbrt (exp (cos im))) (cbrt (exp (cos im)))) (cbrt (exp (cos im))) (pow (exp (cos im)) 3) (pow (exp (cos im)) 1/2) (pow (exp (cos im)) 1/2) (expm1 (* (log (exp (cos im))) (exp re))) (log1p (* (log (exp (cos im))) (exp re))) (* (cos im) (exp re)) (log (* (cos im) (exp re))) (log (* (cos im) (exp re))) (pow (exp (cos im)) (exp re)) (pow (* (cos im) (exp re)) 3) (* (cbrt (* (log (exp (cos im))) (exp re))) (cbrt (* (log (exp (cos im))) (exp re)))) (cbrt (* (log (exp (cos im))) (exp re))) (pow (* (cos im) (exp re)) 3) (sqrt (* (log (exp (cos im))) (exp re))) (sqrt (* (log (exp (cos im))) (exp re))) (* (sqrt (cos im)) (sqrt (exp re))) (* (sqrt (cos im)) (sqrt (exp re))) (* (* (cos im) (cbrt (exp re))) (cbrt (exp re))) (* (sqrt (exp re)) (cos im)) (cos im) (* (cos im) (exp re)) (* (exp re) (* (cbrt (cos im)) (cbrt (cos im)))) (* (exp re) (sqrt (cos im))) (exp re) (* (cbrt (cos im)) (exp re)) (* (exp re) (sqrt (cos im))) (* (cos im) (exp re)) (fma (pow im 4) 1/24 (- 1 (* 1/2 (pow im 2)))) (cos im) (cos im) (fma E (- (* 1/6 (pow im 4)) (* 1/2 (pow im 2))) E) (exp (cos im)) (exp (cos im)) (fma 1/2 (- 2 (pow im 2)) re) (* (cos im) (exp re)) (* (cos im) (exp re)) 1.027 * * * [progress]: adding candidates to table 1.166 * [progress]: [Phase 3 of 3] Extracting. 1.166 * * [regime]: Finding splitpoints for: (# # # #) 1.166 * * * [regime-changes]: Trying 5 branch expressions: ((cos im) (exp re) (* (exp re) (cos im)) im re) 1.166 * * * * [regimes]: Trying to branch on (cos im) from (# # # #) 1.184 * * * * [regimes]: Trying to branch on (exp re) from (# # # #) 1.199 * * * * [regimes]: Trying to branch on (* (exp re) (cos im)) from (# # # #) 1.221 * * * * [regimes]: Trying to branch on im from (# # # #) 1.237 * * * * [regimes]: Trying to branch on re from (# # # #) 1.256 * * * [regime]: Found split indices: #