3.874 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.039 * * * [progress]: [2/2] Setting up program. 0.041 * [progress]: [Phase 2 of 3] Improving. 0.041 * [simplify]: Simplifying using # : (* (exp re) (cos im)) 0.041 * [simplify]: Sending expressions to egg_math: (* (exp h0) (cos h1)) 0.043 * * [simplify]: iteration 0 : 6 enodes (cost 3 ) 0.044 * * [simplify]: iteration 1 : 6 enodes (cost 3 ) 0.044 * [simplify]: Simplified to: (* (exp re) (cos im)) 0.044 * * [progress]: iteration 1 / 4 0.044 * * * [progress]: picking best candidate 0.046 * * * * [pick]: Picked # 0.046 * * * [progress]: localizing error 0.051 * * * [progress]: generating rewritten candidates 0.051 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.067 * * * [progress]: generating series expansions 0.067 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.067 * [approximate]: Taking taylor expansion of (* (cos im) (exp re)) in (re im) around 0 0.067 * [taylor]: Taking taylor expansion of (* (cos im) (exp re)) in im 0.067 * [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 0.068 * [taylor]: Taking taylor expansion of (cos im) in im 0.068 * [taylor]: Taking taylor expansion of im in im 0.073 * [taylor]: Taking taylor expansion of (cos im) in im 0.073 * [taylor]: Taking taylor expansion of im in im 0.077 * [taylor]: Taking taylor expansion of (* 1/2 (cos im)) in im 0.077 * [taylor]: Taking taylor expansion of 1/2 in im 0.077 * [taylor]: Taking taylor expansion of (cos im) in im 0.077 * [taylor]: Taking taylor expansion of im in im 0.077 * [approximate]: Taking taylor expansion of (* (exp (/ 1 re)) (cos (/ 1 im))) in (re im) around 0 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 0.078 * [taylor]: Taking taylor expansion of (* (exp (/ 1 re)) (cos (/ 1 im))) in re 0.078 * [taylor]: Taking taylor expansion of (exp (/ 1 re)) in re 0.078 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.078 * [taylor]: Taking taylor expansion of re in re 0.078 * [taylor]: Taking taylor expansion of (cos (/ 1 im)) in re 0.078 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.078 * [taylor]: Taking taylor expansion of im in re 0.078 * [taylor]: Taking taylor expansion of (* (exp (/ 1 re)) (cos (/ 1 im))) in re 0.078 * [taylor]: Taking taylor expansion of (exp (/ 1 re)) in re 0.078 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.078 * [taylor]: Taking taylor expansion of re in re 0.078 * [taylor]: Taking taylor expansion of (cos (/ 1 im)) in re 0.079 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.079 * [taylor]: Taking taylor expansion of im in re 0.079 * [taylor]: Taking taylor expansion of (* (exp (/ 1 re)) (cos (/ 1 im))) in im 0.079 * [taylor]: Taking taylor expansion of (exp (/ 1 re)) in im 0.079 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.079 * [taylor]: Taking taylor expansion of re in im 0.079 * [taylor]: Taking taylor expansion of (cos (/ 1 im)) in im 0.079 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.079 * [taylor]: Taking taylor expansion of im in im 0.081 * [taylor]: Taking taylor expansion of 0 in im 0.084 * [taylor]: Taking taylor expansion of 0 in im 0.089 * [taylor]: Taking taylor expansion of 0 in im 0.089 * [approximate]: Taking taylor expansion of (* (exp (/ -1 re)) (cos (/ -1 im))) in (re im) around 0 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 0.089 * [taylor]: Taking taylor expansion of (cos (/ -1 im)) in im 0.089 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.089 * [taylor]: Taking taylor expansion of -1 in im 0.089 * [taylor]: Taking taylor expansion of im in im 0.089 * [taylor]: Taking taylor expansion of (* (exp (/ -1 re)) (cos (/ -1 im))) in re 0.089 * [taylor]: Taking taylor expansion of (exp (/ -1 re)) in re 0.089 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.089 * [taylor]: Taking taylor expansion of -1 in re 0.089 * [taylor]: Taking taylor expansion of re in re 0.090 * [taylor]: Taking taylor expansion of (cos (/ -1 im)) in re 0.090 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.090 * [taylor]: Taking taylor expansion of -1 in re 0.090 * [taylor]: Taking taylor expansion of im in re 0.090 * [taylor]: Taking taylor expansion of (* (exp (/ -1 re)) (cos (/ -1 im))) in re 0.090 * [taylor]: Taking taylor expansion of (exp (/ -1 re)) in re 0.090 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.090 * [taylor]: Taking taylor expansion of -1 in re 0.090 * [taylor]: Taking taylor expansion of re in re 0.090 * [taylor]: Taking taylor expansion of (cos (/ -1 im)) in re 0.090 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.090 * [taylor]: Taking taylor expansion of -1 in re 0.090 * [taylor]: Taking taylor expansion of im in re 0.091 * [taylor]: Taking taylor expansion of (* (exp (/ -1 re)) (cos (/ -1 im))) in im 0.091 * [taylor]: Taking taylor expansion of (exp (/ -1 re)) in im 0.091 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.091 * [taylor]: Taking taylor expansion of -1 in im 0.091 * [taylor]: Taking taylor expansion of re in im 0.091 * [taylor]: Taking taylor expansion of (cos (/ -1 im)) in im 0.091 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.091 * [taylor]: Taking taylor expansion of -1 in im 0.091 * [taylor]: Taking taylor expansion of im in im 0.093 * [taylor]: Taking taylor expansion of 0 in im 0.096 * [taylor]: Taking taylor expansion of 0 in im 0.100 * [taylor]: Taking taylor expansion of 0 in im 0.100 * * * [progress]: simplifying candidates 0.101 * [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)) 0.101 * [simplify]: Sending expressions to egg_math: (expm1 (* (exp h0) (cos h1))) (log1p (* (exp h0) (cos h1))) (* (exp h0) (cos h1)) (+ h0 (log (cos h1))) (log (* (exp h0) (cos h1))) (exp (* (exp h0) (cos h1))) (* (* (* (exp h0) (exp h0)) (exp h0)) (* (* (cos h1) (cos h1)) (cos h1))) (* (cbrt (* (exp h0) (cos h1))) (cbrt (* (exp h0) (cos h1)))) (cbrt (* (exp h0) (cos h1))) (* (* (* (exp h0) (cos h1)) (* (exp h0) (cos h1))) (* (exp h0) (cos h1))) (sqrt (* (exp h0) (cos h1))) (sqrt (* (exp h0) (cos h1))) (* (sqrt (exp h0)) (sqrt (cos h1))) (* (sqrt (exp h0)) (sqrt (cos h1))) (* (exp h0) (* (cbrt (cos h1)) (cbrt (cos h1)))) (* (exp h0) (sqrt (cos h1))) (* (exp h0) 1) (* (cbrt (exp h0)) (cos h1)) (* (sqrt (exp h0)) (cos h1)) (* (exp h0) (cos h1)) (+ 1 (+ (* 1/2 (pow h0 2)) h0)) (* (cos h1) (exp h0)) (* (cos h1) (exp h0)) 0.104 * * [simplify]: iteration 0 : 82 enodes (cost 105 ) 0.106 * * [simplify]: iteration 1 : 268 enodes (cost 92 ) 0.111 * * [simplify]: iteration 2 : 1050 enodes (cost 92 ) 0.130 * * [simplify]: iteration 3 : 4260 enodes (cost 92 ) 0.243 * * [simplify]: iteration 4 : 5001 enodes (cost 91 ) 0.244 * [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)) 0.244 * * * [progress]: adding candidates to table 0.286 * * [progress]: iteration 2 / 4 0.286 * * * [progress]: picking best candidate 0.292 * * * * [pick]: Picked # 0.292 * * * [progress]: localizing error 0.300 * * * [progress]: generating rewritten candidates 0.300 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 0.303 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.306 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.355 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 0.375 * * * [progress]: generating series expansions 0.375 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 0.375 * [approximate]: Taking taylor expansion of (sqrt (exp re)) in (re) around 0 0.375 * [taylor]: Taking taylor expansion of (sqrt (exp re)) in re 0.375 * [taylor]: Taking taylor expansion of (exp re) in re 0.375 * [taylor]: Taking taylor expansion of re in re 0.377 * [taylor]: Taking taylor expansion of (sqrt (exp re)) in re 0.377 * [taylor]: Taking taylor expansion of (exp re) in re 0.377 * [taylor]: Taking taylor expansion of re in re 0.380 * [approximate]: Taking taylor expansion of (sqrt (exp (/ 1 re))) in (re) around 0 0.380 * [taylor]: Taking taylor expansion of (sqrt (exp (/ 1 re))) in re 0.380 * [taylor]: Taking taylor expansion of (exp (/ 1 re)) in re 0.380 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.380 * [taylor]: Taking taylor expansion of re in re 0.380 * [taylor]: Taking taylor expansion of (sqrt (exp (/ 1 re))) in re 0.380 * [taylor]: Taking taylor expansion of (exp (/ 1 re)) in re 0.380 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.380 * [taylor]: Taking taylor expansion of re in re 0.383 * [approximate]: Taking taylor expansion of (sqrt (exp (/ -1 re))) in (re) around 0 0.383 * [taylor]: Taking taylor expansion of (sqrt (exp (/ -1 re))) in re 0.383 * [taylor]: Taking taylor expansion of (exp (/ -1 re)) in re 0.383 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.383 * [taylor]: Taking taylor expansion of -1 in re 0.383 * [taylor]: Taking taylor expansion of re in re 0.384 * [taylor]: Taking taylor expansion of (sqrt (exp (/ -1 re))) in re 0.384 * [taylor]: Taking taylor expansion of (exp (/ -1 re)) in re 0.384 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.384 * [taylor]: Taking taylor expansion of -1 in re 0.384 * [taylor]: Taking taylor expansion of re in re 0.387 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.387 * [approximate]: Taking taylor expansion of (sqrt (exp re)) in (re) around 0 0.387 * [taylor]: Taking taylor expansion of (sqrt (exp re)) in re 0.387 * [taylor]: Taking taylor expansion of (exp re) in re 0.387 * [taylor]: Taking taylor expansion of re in re 0.388 * [taylor]: Taking taylor expansion of (sqrt (exp re)) in re 0.388 * [taylor]: Taking taylor expansion of (exp re) in re 0.388 * [taylor]: Taking taylor expansion of re in re 0.391 * [approximate]: Taking taylor expansion of (sqrt (exp (/ 1 re))) in (re) around 0 0.391 * [taylor]: Taking taylor expansion of (sqrt (exp (/ 1 re))) in re 0.391 * [taylor]: Taking taylor expansion of (exp (/ 1 re)) in re 0.391 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.391 * [taylor]: Taking taylor expansion of re in re 0.391 * [taylor]: Taking taylor expansion of (sqrt (exp (/ 1 re))) in re 0.391 * [taylor]: Taking taylor expansion of (exp (/ 1 re)) in re 0.391 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.391 * [taylor]: Taking taylor expansion of re in re 0.394 * [approximate]: Taking taylor expansion of (sqrt (exp (/ -1 re))) in (re) around 0 0.394 * [taylor]: Taking taylor expansion of (sqrt (exp (/ -1 re))) in re 0.394 * [taylor]: Taking taylor expansion of (exp (/ -1 re)) in re 0.394 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.394 * [taylor]: Taking taylor expansion of -1 in re 0.395 * [taylor]: Taking taylor expansion of re in re 0.395 * [taylor]: Taking taylor expansion of (sqrt (exp (/ -1 re))) in re 0.395 * [taylor]: Taking taylor expansion of (exp (/ -1 re)) in re 0.395 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.395 * [taylor]: Taking taylor expansion of -1 in re 0.395 * [taylor]: Taking taylor expansion of re in re 0.398 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.398 * [approximate]: Taking taylor expansion of (* (cos im) (exp re)) in (re im) around 0 0.398 * [taylor]: Taking taylor expansion of (* (cos im) (exp re)) in im 0.398 * [taylor]: Taking taylor expansion of (cos im) in im 0.398 * [taylor]: Taking taylor expansion of im in im 0.398 * [taylor]: Taking taylor expansion of (exp re) in im 0.398 * [taylor]: Taking taylor expansion of re in im 0.398 * [taylor]: Taking taylor expansion of (* (cos im) (exp re)) in re 0.398 * [taylor]: Taking taylor expansion of (cos im) in re 0.398 * [taylor]: Taking taylor expansion of im in re 0.398 * [taylor]: Taking taylor expansion of (exp re) in re 0.398 * [taylor]: Taking taylor expansion of re in re 0.398 * [taylor]: Taking taylor expansion of (* (cos im) (exp re)) in re 0.398 * [taylor]: Taking taylor expansion of (cos im) in re 0.398 * [taylor]: Taking taylor expansion of im in re 0.398 * [taylor]: Taking taylor expansion of (exp re) in re 0.398 * [taylor]: Taking taylor expansion of re in re 0.399 * [taylor]: Taking taylor expansion of (cos im) in im 0.399 * [taylor]: Taking taylor expansion of im in im 0.401 * [taylor]: Taking taylor expansion of (cos im) in im 0.401 * [taylor]: Taking taylor expansion of im in im 0.404 * [taylor]: Taking taylor expansion of (* 1/2 (cos im)) in im 0.404 * [taylor]: Taking taylor expansion of 1/2 in im 0.405 * [taylor]: Taking taylor expansion of (cos im) in im 0.405 * [taylor]: Taking taylor expansion of im in im 0.405 * [approximate]: Taking taylor expansion of (* (exp (/ 1 re)) (cos (/ 1 im))) in (re im) around 0 0.405 * [taylor]: Taking taylor expansion of (* (exp (/ 1 re)) (cos (/ 1 im))) in im 0.405 * [taylor]: Taking taylor expansion of (exp (/ 1 re)) in im 0.405 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.405 * [taylor]: Taking taylor expansion of re in im 0.405 * [taylor]: Taking taylor expansion of (cos (/ 1 im)) in im 0.405 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.405 * [taylor]: Taking taylor expansion of im in im 0.406 * [taylor]: Taking taylor expansion of (* (exp (/ 1 re)) (cos (/ 1 im))) in re 0.406 * [taylor]: Taking taylor expansion of (exp (/ 1 re)) in re 0.406 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.406 * [taylor]: Taking taylor expansion of re in re 0.406 * [taylor]: Taking taylor expansion of (cos (/ 1 im)) in re 0.406 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.406 * [taylor]: Taking taylor expansion of im in re 0.406 * [taylor]: Taking taylor expansion of (* (exp (/ 1 re)) (cos (/ 1 im))) in re 0.406 * [taylor]: Taking taylor expansion of (exp (/ 1 re)) in re 0.406 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.406 * [taylor]: Taking taylor expansion of re in re 0.406 * [taylor]: Taking taylor expansion of (cos (/ 1 im)) in re 0.406 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.406 * [taylor]: Taking taylor expansion of im in re 0.407 * [taylor]: Taking taylor expansion of (* (exp (/ 1 re)) (cos (/ 1 im))) in im 0.407 * [taylor]: Taking taylor expansion of (exp (/ 1 re)) in im 0.407 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.407 * [taylor]: Taking taylor expansion of re in im 0.407 * [taylor]: Taking taylor expansion of (cos (/ 1 im)) in im 0.407 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.407 * [taylor]: Taking taylor expansion of im in im 0.412 * [taylor]: Taking taylor expansion of 0 in im 0.415 * [taylor]: Taking taylor expansion of 0 in im 0.419 * [taylor]: Taking taylor expansion of 0 in im 0.419 * [approximate]: Taking taylor expansion of (* (exp (/ -1 re)) (cos (/ -1 im))) in (re im) around 0 0.419 * [taylor]: Taking taylor expansion of (* (exp (/ -1 re)) (cos (/ -1 im))) in im 0.419 * [taylor]: Taking taylor expansion of (exp (/ -1 re)) in im 0.419 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.419 * [taylor]: Taking taylor expansion of -1 in im 0.419 * [taylor]: Taking taylor expansion of re 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 0.420 * [taylor]: Taking taylor expansion of (* (exp (/ -1 re)) (cos (/ -1 im))) in re 0.420 * [taylor]: Taking taylor expansion of (exp (/ -1 re)) in re 0.420 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.420 * [taylor]: Taking taylor expansion of -1 in re 0.420 * [taylor]: Taking taylor expansion of re 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 (* (exp (/ -1 re)) (cos (/ -1 im))) in re 0.420 * [taylor]: Taking taylor expansion of (exp (/ -1 re)) in re 0.420 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.420 * [taylor]: Taking taylor expansion of -1 in re 0.420 * [taylor]: Taking taylor expansion of re in re 0.421 * [taylor]: Taking taylor expansion of (cos (/ -1 im)) in re 0.421 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.421 * [taylor]: Taking taylor expansion of -1 in re 0.421 * [taylor]: Taking taylor expansion of im in re 0.421 * [taylor]: Taking taylor expansion of (* (exp (/ -1 re)) (cos (/ -1 im))) in im 0.421 * [taylor]: Taking taylor expansion of (exp (/ -1 re)) in im 0.421 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.421 * [taylor]: Taking taylor expansion of -1 in im 0.421 * [taylor]: Taking taylor expansion of re in im 0.421 * [taylor]: Taking taylor expansion of (cos (/ -1 im)) in im 0.421 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.421 * [taylor]: Taking taylor expansion of -1 in im 0.421 * [taylor]: Taking taylor expansion of im in im 0.424 * [taylor]: Taking taylor expansion of 0 in im 0.427 * [taylor]: Taking taylor expansion of 0 in im 0.431 * [taylor]: Taking taylor expansion of 0 in im 0.431 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 0.431 * [approximate]: Taking taylor expansion of (* (cos im) (sqrt (exp re))) in (re im) around 0 0.431 * [taylor]: Taking taylor expansion of (* (cos im) (sqrt (exp re))) in im 0.431 * [taylor]: Taking taylor expansion of (cos im) in im 0.431 * [taylor]: Taking taylor expansion of im in im 0.431 * [taylor]: Taking taylor expansion of (sqrt (exp re)) in im 0.431 * [taylor]: Taking taylor expansion of (exp re) in im 0.431 * [taylor]: Taking taylor expansion of re in im 0.432 * [taylor]: Taking taylor expansion of (* (cos im) (sqrt (exp re))) in re 0.432 * [taylor]: Taking taylor expansion of (cos im) in re 0.432 * [taylor]: Taking taylor expansion of im in re 0.432 * [taylor]: Taking taylor expansion of (sqrt (exp re)) in re 0.432 * [taylor]: Taking taylor expansion of (exp re) in re 0.432 * [taylor]: Taking taylor expansion of re in re 0.433 * [taylor]: Taking taylor expansion of (* (cos im) (sqrt (exp re))) in re 0.433 * [taylor]: Taking taylor expansion of (cos im) in re 0.433 * [taylor]: Taking taylor expansion of im in re 0.433 * [taylor]: Taking taylor expansion of (sqrt (exp re)) in re 0.433 * [taylor]: Taking taylor expansion of (exp re) in re 0.433 * [taylor]: Taking taylor expansion of re in re 0.435 * [taylor]: Taking taylor expansion of (cos im) in im 0.435 * [taylor]: Taking taylor expansion of im in im 0.436 * [taylor]: Taking taylor expansion of (* 1/2 (cos im)) in im 0.436 * [taylor]: Taking taylor expansion of 1/2 in im 0.436 * [taylor]: Taking taylor expansion of (cos im) in im 0.436 * [taylor]: Taking taylor expansion of im in im 0.440 * [taylor]: Taking taylor expansion of (* 1/8 (cos im)) in im 0.441 * [taylor]: Taking taylor expansion of 1/8 in im 0.441 * [taylor]: Taking taylor expansion of (cos im) in im 0.441 * [taylor]: Taking taylor expansion of im in im 0.441 * [approximate]: Taking taylor expansion of (* (sqrt (exp (/ 1 re))) (cos (/ 1 im))) in (re im) around 0 0.441 * [taylor]: Taking taylor expansion of (* (sqrt (exp (/ 1 re))) (cos (/ 1 im))) in im 0.441 * [taylor]: Taking taylor expansion of (sqrt (exp (/ 1 re))) in im 0.441 * [taylor]: Taking taylor expansion of (exp (/ 1 re)) in im 0.441 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.441 * [taylor]: Taking taylor expansion of re in im 0.442 * [taylor]: Taking taylor expansion of (cos (/ 1 im)) in im 0.442 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.442 * [taylor]: Taking taylor expansion of im in im 0.442 * [taylor]: Taking taylor expansion of (* (sqrt (exp (/ 1 re))) (cos (/ 1 im))) in re 0.442 * [taylor]: Taking taylor expansion of (sqrt (exp (/ 1 re))) in re 0.442 * [taylor]: Taking taylor expansion of (exp (/ 1 re)) in re 0.442 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.442 * [taylor]: Taking taylor expansion of re in re 0.443 * [taylor]: Taking taylor expansion of (cos (/ 1 im)) in re 0.443 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.443 * [taylor]: Taking taylor expansion of im in re 0.443 * [taylor]: Taking taylor expansion of (* (sqrt (exp (/ 1 re))) (cos (/ 1 im))) in re 0.443 * [taylor]: Taking taylor expansion of (sqrt (exp (/ 1 re))) in re 0.443 * [taylor]: Taking taylor expansion of (exp (/ 1 re)) in re 0.443 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.443 * [taylor]: Taking taylor expansion of re in re 0.443 * [taylor]: Taking taylor expansion of (cos (/ 1 im)) in re 0.443 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.443 * [taylor]: Taking taylor expansion of im in re 0.444 * [taylor]: Taking taylor expansion of (* (sqrt (exp (/ 1 re))) (cos (/ 1 im))) in im 0.444 * [taylor]: Taking taylor expansion of (sqrt (exp (/ 1 re))) in im 0.444 * [taylor]: Taking taylor expansion of (exp (/ 1 re)) in im 0.444 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.444 * [taylor]: Taking taylor expansion of re in im 0.445 * [taylor]: Taking taylor expansion of (cos (/ 1 im)) in im 0.445 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.445 * [taylor]: Taking taylor expansion of im in im 0.447 * [taylor]: Taking taylor expansion of 0 in im 0.450 * [taylor]: Taking taylor expansion of 0 in im 0.455 * [taylor]: Taking taylor expansion of 0 in im 0.455 * [approximate]: Taking taylor expansion of (* (sqrt (exp (/ -1 re))) (cos (/ -1 im))) in (re im) around 0 0.455 * [taylor]: Taking taylor expansion of (* (sqrt (exp (/ -1 re))) (cos (/ -1 im))) in im 0.455 * [taylor]: Taking taylor expansion of (sqrt (exp (/ -1 re))) in im 0.455 * [taylor]: Taking taylor expansion of (exp (/ -1 re)) in im 0.455 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.455 * [taylor]: Taking taylor expansion of -1 in im 0.455 * [taylor]: Taking taylor expansion of re in im 0.456 * [taylor]: Taking taylor expansion of (cos (/ -1 im)) in im 0.456 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.456 * [taylor]: Taking taylor expansion of -1 in im 0.456 * [taylor]: Taking taylor expansion of im in im 0.456 * [taylor]: Taking taylor expansion of (* (sqrt (exp (/ -1 re))) (cos (/ -1 im))) in re 0.456 * [taylor]: Taking taylor expansion of (sqrt (exp (/ -1 re))) in re 0.456 * [taylor]: Taking taylor expansion of (exp (/ -1 re)) in re 0.456 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.456 * [taylor]: Taking taylor expansion of -1 in re 0.456 * [taylor]: Taking taylor expansion of re in re 0.457 * [taylor]: Taking taylor expansion of (cos (/ -1 im)) in re 0.457 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.457 * [taylor]: Taking taylor expansion of -1 in re 0.457 * [taylor]: Taking taylor expansion of im in re 0.457 * [taylor]: Taking taylor expansion of (* (sqrt (exp (/ -1 re))) (cos (/ -1 im))) in re 0.457 * [taylor]: Taking taylor expansion of (sqrt (exp (/ -1 re))) in re 0.457 * [taylor]: Taking taylor expansion of (exp (/ -1 re)) in re 0.457 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.457 * [taylor]: Taking taylor expansion of -1 in re 0.457 * [taylor]: Taking taylor expansion of re in re 0.457 * [taylor]: Taking taylor expansion of (cos (/ -1 im)) in re 0.457 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.457 * [taylor]: Taking taylor expansion of -1 in re 0.457 * [taylor]: Taking taylor expansion of im in re 0.458 * [taylor]: Taking taylor expansion of (* (sqrt (exp (/ -1 re))) (cos (/ -1 im))) in im 0.458 * [taylor]: Taking taylor expansion of (sqrt (exp (/ -1 re))) in im 0.458 * [taylor]: Taking taylor expansion of (exp (/ -1 re)) in im 0.458 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.458 * [taylor]: Taking taylor expansion of -1 in im 0.458 * [taylor]: Taking taylor expansion of re in im 0.458 * [taylor]: Taking taylor expansion of (cos (/ -1 im)) in im 0.459 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.459 * [taylor]: Taking taylor expansion of -1 in im 0.459 * [taylor]: Taking taylor expansion of im in im 0.461 * [taylor]: Taking taylor expansion of 0 in im 0.464 * [taylor]: Taking taylor expansion of 0 in im 0.469 * [taylor]: Taking taylor expansion of 0 in im 0.469 * * * [progress]: simplifying candidates 0.470 * [simplify]: Simplifying using # : (expm1 (sqrt (exp re))) (log1p (sqrt (exp re))) (log (sqrt (exp re))) (exp (sqrt (exp re))) (* (cbrt (sqrt (exp re))) (cbrt (sqrt (exp re)))) (cbrt (sqrt (exp re))) (* (* (sqrt (exp re)) (sqrt (exp re))) (sqrt (exp re))) (sqrt (* (cbrt (exp re)) (cbrt (exp re)))) (sqrt (cbrt (exp re))) (sqrt (sqrt (exp re))) (sqrt (sqrt (exp re))) (sqrt 1) (sqrt (exp re)) (/ 1 2) (/ (cbrt re) 2) (/ (sqrt re) 2) (/ re 2) (sqrt (sqrt (exp re))) (sqrt (sqrt (exp re))) (expm1 (sqrt (exp re))) (log1p (sqrt (exp re))) (log (sqrt (exp re))) (exp (sqrt (exp re))) (* (cbrt (sqrt (exp re))) (cbrt (sqrt (exp re)))) (cbrt (sqrt (exp re))) (* (* (sqrt (exp re)) (sqrt (exp re))) (sqrt (exp re))) (sqrt (* (cbrt (exp re)) (cbrt (exp re)))) (sqrt (cbrt (exp re))) (sqrt (sqrt (exp re))) (sqrt (sqrt (exp re))) (sqrt 1) (sqrt (exp re)) (/ 1 2) (/ (cbrt re) 2) (/ (sqrt re) 2) (/ re 2) (sqrt (sqrt (exp re))) (sqrt (sqrt (exp re))) (expm1 (* (sqrt (exp re)) (* (sqrt (exp re)) (cos im)))) (log1p (* (sqrt (exp re)) (* (sqrt (exp re)) (cos im)))) (* (sqrt (exp re)) (* (sqrt (exp re)) (cos im))) (* (sqrt (exp re)) (* (sqrt (exp re)) (cos im))) (+ (log (sqrt (exp re))) (+ (log (sqrt (exp re))) (log (cos im)))) (+ (log (sqrt (exp re))) (log (* (sqrt (exp re)) (cos im)))) (log (* (sqrt (exp re)) (* (sqrt (exp re)) (cos im)))) (exp (* (sqrt (exp re)) (* (sqrt (exp re)) (cos im)))) (* (* (* (sqrt (exp re)) (sqrt (exp re))) (sqrt (exp re))) (* (* (* (sqrt (exp re)) (sqrt (exp re))) (sqrt (exp re))) (* (* (cos im) (cos im)) (cos im)))) (* (* (* (sqrt (exp re)) (sqrt (exp re))) (sqrt (exp re))) (* (* (* (sqrt (exp re)) (cos im)) (* (sqrt (exp re)) (cos im))) (* (sqrt (exp re)) (cos im)))) (* (cbrt (* (sqrt (exp re)) (* (sqrt (exp re)) (cos im)))) (cbrt (* (sqrt (exp re)) (* (sqrt (exp re)) (cos im))))) (cbrt (* (sqrt (exp re)) (* (sqrt (exp re)) (cos im)))) (* (* (* (sqrt (exp re)) (* (sqrt (exp re)) (cos im))) (* (sqrt (exp re)) (* (sqrt (exp re)) (cos im)))) (* (sqrt (exp re)) (* (sqrt (exp re)) (cos im)))) (sqrt (* (sqrt (exp re)) (* (sqrt (exp re)) (cos im)))) (sqrt (* (sqrt (exp re)) (* (sqrt (exp re)) (cos im)))) (* (sqrt (exp re)) (sqrt (exp re))) (* (cbrt (sqrt (exp re))) (* (sqrt (exp re)) (cos im))) (* (sqrt (cbrt (exp re))) (* (sqrt (exp re)) (cos im))) (* (sqrt (sqrt (exp re))) (* (sqrt (exp re)) (cos im))) (* (sqrt (exp re)) (* (sqrt (exp re)) (cos im))) (* (sqrt (sqrt (exp re))) (* (sqrt (exp re)) (cos im))) (* (sqrt (exp re)) (* (sqrt (exp re)) (cos im))) (expm1 (* (sqrt (exp re)) (cos im))) (log1p (* (sqrt (exp re)) (cos im))) (* (sqrt (exp re)) (cos im)) (+ (log (sqrt (exp re))) (log (cos im))) (log (* (sqrt (exp re)) (cos im))) (exp (* (sqrt (exp re)) (cos im))) (* (* (* (sqrt (exp re)) (sqrt (exp re))) (sqrt (exp re))) (* (* (cos im) (cos im)) (cos im))) (* (cbrt (* (sqrt (exp re)) (cos im))) (cbrt (* (sqrt (exp re)) (cos im)))) (cbrt (* (sqrt (exp re)) (cos im))) (* (* (* (sqrt (exp re)) (cos im)) (* (sqrt (exp re)) (cos im))) (* (sqrt (exp re)) (cos im))) (sqrt (* (sqrt (exp re)) (cos im))) (sqrt (* (sqrt (exp re)) (cos im))) (* (sqrt (sqrt (exp re))) (sqrt (cos im))) (* (sqrt (sqrt (exp re))) (sqrt (cos im))) (* (sqrt (sqrt (exp re))) (sqrt (cos im))) (* (sqrt (sqrt (exp re))) (sqrt (cos im))) (* (sqrt (exp re)) (* (cbrt (cos im)) (cbrt (cos im)))) (* (sqrt (exp re)) (sqrt (cos im))) (* (sqrt (exp re)) 1) (* (cbrt (sqrt (exp re))) (cos im)) (* (sqrt (cbrt (exp re))) (cos im)) (* (sqrt (sqrt (exp re))) (cos im)) (* (sqrt (exp re)) (cos im)) (* (sqrt (sqrt (exp re))) (cos im)) (* (sqrt (exp re)) (cos im)) (+ 1 (+ (* 1/8 (pow re 2)) (* 1/2 re))) (sqrt (exp re)) (sqrt (exp re)) (+ 1 (+ (* 1/8 (pow re 2)) (* 1/2 re))) (sqrt (exp re)) (sqrt (exp re)) (+ 1 (+ (* 1/2 (pow re 2)) re)) (* (cos im) (exp re)) (* (cos im) (exp re)) (+ 1 (+ (* 1/8 (pow re 2)) (* 1/2 re))) (* (cos im) (sqrt (exp re))) (* (cos im) (sqrt (exp re))) 0.470 * [simplify]: Sending expressions to egg_math: (expm1 (sqrt (exp h0))) (log1p (sqrt (exp h0))) (log (sqrt (exp h0))) (exp (sqrt (exp h0))) (* (cbrt (sqrt (exp h0))) (cbrt (sqrt (exp h0)))) (cbrt (sqrt (exp h0))) (* (* (sqrt (exp h0)) (sqrt (exp h0))) (sqrt (exp h0))) (sqrt (* (cbrt (exp h0)) (cbrt (exp h0)))) (sqrt (cbrt (exp h0))) (sqrt (sqrt (exp h0))) (sqrt (sqrt (exp h0))) (sqrt 1) (sqrt (exp h0)) (/ 1 2) (/ (cbrt h0) 2) (/ (sqrt h0) 2) (/ h0 2) (sqrt (sqrt (exp h0))) (sqrt (sqrt (exp h0))) (expm1 (sqrt (exp h0))) (log1p (sqrt (exp h0))) (log (sqrt (exp h0))) (exp (sqrt (exp h0))) (* (cbrt (sqrt (exp h0))) (cbrt (sqrt (exp h0)))) (cbrt (sqrt (exp h0))) (* (* (sqrt (exp h0)) (sqrt (exp h0))) (sqrt (exp h0))) (sqrt (* (cbrt (exp h0)) (cbrt (exp h0)))) (sqrt (cbrt (exp h0))) (sqrt (sqrt (exp h0))) (sqrt (sqrt (exp h0))) (sqrt 1) (sqrt (exp h0)) (/ 1 2) (/ (cbrt h0) 2) (/ (sqrt h0) 2) (/ h0 2) (sqrt (sqrt (exp h0))) (sqrt (sqrt (exp h0))) (expm1 (* (sqrt (exp h0)) (* (sqrt (exp h0)) (cos h1)))) (log1p (* (sqrt (exp h0)) (* (sqrt (exp h0)) (cos h1)))) (* (sqrt (exp h0)) (* (sqrt (exp h0)) (cos h1))) (* (sqrt (exp h0)) (* (sqrt (exp h0)) (cos h1))) (+ (log (sqrt (exp h0))) (+ (log (sqrt (exp h0))) (log (cos h1)))) (+ (log (sqrt (exp h0))) (log (* (sqrt (exp h0)) (cos h1)))) (log (* (sqrt (exp h0)) (* (sqrt (exp h0)) (cos h1)))) (exp (* (sqrt (exp h0)) (* (sqrt (exp h0)) (cos h1)))) (* (* (* (sqrt (exp h0)) (sqrt (exp h0))) (sqrt (exp h0))) (* (* (* (sqrt (exp h0)) (sqrt (exp h0))) (sqrt (exp h0))) (* (* (cos h1) (cos h1)) (cos h1)))) (* (* (* (sqrt (exp h0)) (sqrt (exp h0))) (sqrt (exp h0))) (* (* (* (sqrt (exp h0)) (cos h1)) (* (sqrt (exp h0)) (cos h1))) (* (sqrt (exp h0)) (cos h1)))) (* (cbrt (* (sqrt (exp h0)) (* (sqrt (exp h0)) (cos h1)))) (cbrt (* (sqrt (exp h0)) (* (sqrt (exp h0)) (cos h1))))) (cbrt (* (sqrt (exp h0)) (* (sqrt (exp h0)) (cos h1)))) (* (* (* (sqrt (exp h0)) (* (sqrt (exp h0)) (cos h1))) (* (sqrt (exp h0)) (* (sqrt (exp h0)) (cos h1)))) (* (sqrt (exp h0)) (* (sqrt (exp h0)) (cos h1)))) (sqrt (* (sqrt (exp h0)) (* (sqrt (exp h0)) (cos h1)))) (sqrt (* (sqrt (exp h0)) (* (sqrt (exp h0)) (cos h1)))) (* (sqrt (exp h0)) (sqrt (exp h0))) (* (cbrt (sqrt (exp h0))) (* (sqrt (exp h0)) (cos h1))) (* (sqrt (cbrt (exp h0))) (* (sqrt (exp h0)) (cos h1))) (* (sqrt (sqrt (exp h0))) (* (sqrt (exp h0)) (cos h1))) (* (sqrt (exp h0)) (* (sqrt (exp h0)) (cos h1))) (* (sqrt (sqrt (exp h0))) (* (sqrt (exp h0)) (cos h1))) (* (sqrt (exp h0)) (* (sqrt (exp h0)) (cos h1))) (expm1 (* (sqrt (exp h0)) (cos h1))) (log1p (* (sqrt (exp h0)) (cos h1))) (* (sqrt (exp h0)) (cos h1)) (+ (log (sqrt (exp h0))) (log (cos h1))) (log (* (sqrt (exp h0)) (cos h1))) (exp (* (sqrt (exp h0)) (cos h1))) (* (* (* (sqrt (exp h0)) (sqrt (exp h0))) (sqrt (exp h0))) (* (* (cos h1) (cos h1)) (cos h1))) (* (cbrt (* (sqrt (exp h0)) (cos h1))) (cbrt (* (sqrt (exp h0)) (cos h1)))) (cbrt (* (sqrt (exp h0)) (cos h1))) (* (* (* (sqrt (exp h0)) (cos h1)) (* (sqrt (exp h0)) (cos h1))) (* (sqrt (exp h0)) (cos h1))) (sqrt (* (sqrt (exp h0)) (cos h1))) (sqrt (* (sqrt (exp h0)) (cos h1))) (* (sqrt (sqrt (exp h0))) (sqrt (cos h1))) (* (sqrt (sqrt (exp h0))) (sqrt (cos h1))) (* (sqrt (sqrt (exp h0))) (sqrt (cos h1))) (* (sqrt (sqrt (exp h0))) (sqrt (cos h1))) (* (sqrt (exp h0)) (* (cbrt (cos h1)) (cbrt (cos h1)))) (* (sqrt (exp h0)) (sqrt (cos h1))) (* (sqrt (exp h0)) 1) (* (cbrt (sqrt (exp h0))) (cos h1)) (* (sqrt (cbrt (exp h0))) (cos h1)) (* (sqrt (sqrt (exp h0))) (cos h1)) (* (sqrt (exp h0)) (cos h1)) (* (sqrt (sqrt (exp h0))) (cos h1)) (* (sqrt (exp h0)) (cos h1)) (+ 1 (+ (* 1/8 (pow h0 2)) (* 1/2 h0))) (sqrt (exp h0)) (sqrt (exp h0)) (+ 1 (+ (* 1/8 (pow h0 2)) (* 1/2 h0))) (sqrt (exp h0)) (sqrt (exp h0)) (+ 1 (+ (* 1/2 (pow h0 2)) h0)) (* (cos h1) (exp h0)) (* (cos h1) (exp h0)) (+ 1 (+ (* 1/8 (pow h0 2)) (* 1/2 h0))) (* (cos h1) (sqrt (exp h0))) (* (cos h1) (sqrt (exp h0))) 0.474 * * [simplify]: iteration 0 : 161 enodes (cost 458 ) 0.477 * * [simplify]: iteration 1 : 591 enodes (cost 404 ) 0.489 * * [simplify]: iteration 2 : 2177 enodes (cost 402 ) 0.525 * * [simplify]: iteration 3 : 5001 enodes (cost 388 ) 0.526 * [simplify]: Simplified to: (expm1 (sqrt (exp re))) (log1p (sqrt (exp re))) (* 1/2 re) (exp (sqrt (exp re))) (* (cbrt (sqrt (exp re))) (cbrt (sqrt (exp re)))) (cbrt (sqrt (exp re))) (pow (sqrt (exp re)) 3) (fabs (cbrt (exp re))) (sqrt (cbrt (exp re))) (sqrt (sqrt (exp re))) (sqrt (sqrt (exp re))) 1 (sqrt (exp re)) 1/2 (/ (cbrt re) 2) (/ (sqrt re) 2) (* 1/2 re) (sqrt (sqrt (exp re))) (sqrt (sqrt (exp re))) (expm1 (sqrt (exp re))) (log1p (sqrt (exp re))) (* 1/2 re) (exp (sqrt (exp re))) (* (cbrt (sqrt (exp re))) (cbrt (sqrt (exp re)))) (cbrt (sqrt (exp re))) (pow (sqrt (exp re)) 3) (fabs (cbrt (exp re))) (sqrt (cbrt (exp re))) (sqrt (sqrt (exp re))) (sqrt (sqrt (exp re))) 1 (sqrt (exp re)) 1/2 (/ (cbrt re) 2) (/ (sqrt re) 2) (* 1/2 re) (sqrt (sqrt (exp re))) (sqrt (sqrt (exp re))) (expm1 (* (sqrt (exp re)) (* (sqrt (exp re)) (cos im)))) (log1p (* (sqrt (exp re)) (* (sqrt (exp re)) (cos im)))) (* (exp re) (cos im)) (* (exp re) (cos im)) (fma 1 re (log (cos im))) (fma 1 re (log (cos im))) (fma 1 re (log (cos im))) (pow (exp (exp re)) (cos im)) (pow (* (exp re) (cos im)) 3) (pow (* (exp re) (cos im)) 3) (* (cbrt (* (sqrt (exp re)) (* (sqrt (exp re)) (cos im)))) (cbrt (* (sqrt (exp re)) (* (sqrt (exp re)) (cos im))))) (cbrt (* (sqrt (exp re)) (* (sqrt (exp re)) (cos im)))) (pow (* (exp re) (cos im)) 3) (sqrt (* (sqrt (exp re)) (* (sqrt (exp re)) (cos im)))) (sqrt (* (sqrt (exp re)) (* (sqrt (exp re)) (cos im)))) (exp re) (* (cbrt (sqrt (exp re))) (* (sqrt (exp re)) (cos im))) (* (sqrt (cbrt (exp re))) (* (sqrt (exp re)) (cos im))) (* (sqrt (sqrt (exp re))) (* (sqrt (exp re)) (cos im))) (* (exp re) (cos im)) (* (sqrt (sqrt (exp re))) (* (sqrt (exp re)) (cos im))) (* (exp re) (cos im)) (expm1 (* (sqrt (exp re)) (cos im))) (log1p (* (sqrt (exp re)) (cos im))) (* (sqrt (exp re)) (cos im)) (log (* (sqrt (exp re)) (cos im))) (log (* (sqrt (exp re)) (cos im))) (exp (* (sqrt (exp re)) (cos im))) (pow (* (sqrt (exp re)) (cos im)) 3) (* (cbrt (* (sqrt (exp re)) (cos im))) (cbrt (* (sqrt (exp re)) (cos im)))) (cbrt (* (sqrt (exp re)) (cos im))) (pow (* (sqrt (exp re)) (cos im)) 3) (sqrt (* (sqrt (exp re)) (cos im))) (sqrt (* (sqrt (exp re)) (cos im))) (* (sqrt (sqrt (exp re))) (sqrt (cos im))) (* (sqrt (sqrt (exp re))) (sqrt (cos im))) (* (sqrt (sqrt (exp re))) (sqrt (cos im))) (* (sqrt (sqrt (exp re))) (sqrt (cos im))) (* (sqrt (exp re)) (* (cbrt (cos im)) (cbrt (cos im)))) (* (sqrt (exp re)) (sqrt (cos im))) (sqrt (exp re)) (* (cbrt (sqrt (exp re))) (cos im)) (* (sqrt (cbrt (exp re))) (cos im)) (* (sqrt (sqrt (exp re))) (cos im)) (* (sqrt (exp re)) (cos im)) (* (sqrt (sqrt (exp re))) (cos im)) (* (sqrt (exp re)) (cos im)) (fma re (+ (* 1/8 re) 1/2) 1) (sqrt (exp re)) (sqrt (exp re)) (fma re (+ (* 1/8 re) 1/2) 1) (sqrt (exp re)) (sqrt (exp re)) (fma (fma re 1/2 1) re 1) (* (exp re) (cos im)) (* (exp re) (cos im)) (fma re (+ (* 1/8 re) 1/2) 1) (* (sqrt (exp re)) (cos im)) (* (sqrt (exp re)) (cos im)) 0.527 * * * [progress]: adding candidates to table 0.733 * * [progress]: iteration 3 / 4 0.733 * * * [progress]: picking best candidate 0.738 * * * * [pick]: Picked # 0.738 * * * [progress]: localizing error 0.749 * * * [progress]: generating rewritten candidates 0.749 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 1) 0.752 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 0.754 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 0.757 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.821 * * * [progress]: generating series expansions 0.821 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 1) 0.821 * [approximate]: Taking taylor expansion of (pow (exp re) 1/3) in (re) around 0 0.821 * [taylor]: Taking taylor expansion of (pow (exp re) 1/3) in re 0.821 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (exp re)))) in re 0.821 * [taylor]: Taking taylor expansion of (* 1/3 (log (exp re))) in re 0.821 * [taylor]: Taking taylor expansion of 1/3 in re 0.821 * [taylor]: Taking taylor expansion of (log (exp re)) in re 0.821 * [taylor]: Taking taylor expansion of (exp re) in re 0.821 * [taylor]: Taking taylor expansion of re in re 0.824 * [taylor]: Taking taylor expansion of (pow (exp re) 1/3) in re 0.824 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (exp re)))) in re 0.824 * [taylor]: Taking taylor expansion of (* 1/3 (log (exp re))) in re 0.824 * [taylor]: Taking taylor expansion of 1/3 in re 0.824 * [taylor]: Taking taylor expansion of (log (exp re)) in re 0.824 * [taylor]: Taking taylor expansion of (exp re) in re 0.824 * [taylor]: Taking taylor expansion of re in re 0.830 * [approximate]: Taking taylor expansion of (pow (exp (/ 1 re)) 1/3) in (re) around 0 0.830 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 re)) 1/3) in re 0.830 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (exp (/ 1 re))))) in re 0.830 * [taylor]: Taking taylor expansion of (* 1/3 (log (exp (/ 1 re)))) in re 0.830 * [taylor]: Taking taylor expansion of 1/3 in re 0.830 * [taylor]: Taking taylor expansion of (log (exp (/ 1 re))) in re 0.830 * [taylor]: Taking taylor expansion of (exp (/ 1 re)) in re 0.830 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.830 * [taylor]: Taking taylor expansion of re in re 0.831 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 re)) 1/3) in re 0.831 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (exp (/ 1 re))))) in re 0.831 * [taylor]: Taking taylor expansion of (* 1/3 (log (exp (/ 1 re)))) in re 0.831 * [taylor]: Taking taylor expansion of 1/3 in re 0.831 * [taylor]: Taking taylor expansion of (log (exp (/ 1 re))) in re 0.831 * [taylor]: Taking taylor expansion of (exp (/ 1 re)) in re 0.831 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.831 * [taylor]: Taking taylor expansion of re in re 0.861 * [approximate]: Taking taylor expansion of (pow (exp (/ -1 re)) 1/3) in (re) around 0 0.861 * [taylor]: Taking taylor expansion of (pow (exp (/ -1 re)) 1/3) in re 0.861 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (exp (/ -1 re))))) in re 0.861 * [taylor]: Taking taylor expansion of (* 1/3 (log (exp (/ -1 re)))) in re 0.861 * [taylor]: Taking taylor expansion of 1/3 in re 0.861 * [taylor]: Taking taylor expansion of (log (exp (/ -1 re))) in re 0.861 * [taylor]: Taking taylor expansion of (exp (/ -1 re)) in re 0.861 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.861 * [taylor]: Taking taylor expansion of -1 in re 0.861 * [taylor]: Taking taylor expansion of re in re 0.862 * [taylor]: Taking taylor expansion of (pow (exp (/ -1 re)) 1/3) in re 0.862 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (exp (/ -1 re))))) in re 0.862 * [taylor]: Taking taylor expansion of (* 1/3 (log (exp (/ -1 re)))) in re 0.862 * [taylor]: Taking taylor expansion of 1/3 in re 0.862 * [taylor]: Taking taylor expansion of (log (exp (/ -1 re))) in re 0.862 * [taylor]: Taking taylor expansion of (exp (/ -1 re)) in re 0.862 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.862 * [taylor]: Taking taylor expansion of -1 in re 0.862 * [taylor]: Taking taylor expansion of re in re 0.894 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 0.895 * [approximate]: Taking taylor expansion of (pow (exp re) 1/3) in (re) around 0 0.895 * [taylor]: Taking taylor expansion of (pow (exp re) 1/3) in re 0.895 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (exp re)))) in re 0.895 * [taylor]: Taking taylor expansion of (* 1/3 (log (exp re))) in re 0.895 * [taylor]: Taking taylor expansion of 1/3 in re 0.895 * [taylor]: Taking taylor expansion of (log (exp re)) in re 0.895 * [taylor]: Taking taylor expansion of (exp re) in re 0.895 * [taylor]: Taking taylor expansion of re in re 0.897 * [taylor]: Taking taylor expansion of (pow (exp re) 1/3) in re 0.897 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (exp re)))) in re 0.897 * [taylor]: Taking taylor expansion of (* 1/3 (log (exp re))) in re 0.897 * [taylor]: Taking taylor expansion of 1/3 in re 0.897 * [taylor]: Taking taylor expansion of (log (exp re)) in re 0.897 * [taylor]: Taking taylor expansion of (exp re) in re 0.897 * [taylor]: Taking taylor expansion of re in re 0.903 * [approximate]: Taking taylor expansion of (pow (exp (/ 1 re)) 1/3) in (re) around 0 0.903 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 re)) 1/3) in re 0.903 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (exp (/ 1 re))))) in re 0.903 * [taylor]: Taking taylor expansion of (* 1/3 (log (exp (/ 1 re)))) in re 0.903 * [taylor]: Taking taylor expansion of 1/3 in re 0.903 * [taylor]: Taking taylor expansion of (log (exp (/ 1 re))) in re 0.903 * [taylor]: Taking taylor expansion of (exp (/ 1 re)) in re 0.903 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.903 * [taylor]: Taking taylor expansion of re in re 0.904 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 re)) 1/3) in re 0.904 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (exp (/ 1 re))))) in re 0.904 * [taylor]: Taking taylor expansion of (* 1/3 (log (exp (/ 1 re)))) in re 0.904 * [taylor]: Taking taylor expansion of 1/3 in re 0.904 * [taylor]: Taking taylor expansion of (log (exp (/ 1 re))) in re 0.904 * [taylor]: Taking taylor expansion of (exp (/ 1 re)) in re 0.904 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.904 * [taylor]: Taking taylor expansion of re in re 0.935 * [approximate]: Taking taylor expansion of (pow (exp (/ -1 re)) 1/3) in (re) around 0 0.935 * [taylor]: Taking taylor expansion of (pow (exp (/ -1 re)) 1/3) in re 0.935 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (exp (/ -1 re))))) in re 0.935 * [taylor]: Taking taylor expansion of (* 1/3 (log (exp (/ -1 re)))) in re 0.935 * [taylor]: Taking taylor expansion of 1/3 in re 0.935 * [taylor]: Taking taylor expansion of (log (exp (/ -1 re))) in re 0.935 * [taylor]: Taking taylor expansion of (exp (/ -1 re)) in re 0.935 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.935 * [taylor]: Taking taylor expansion of -1 in re 0.935 * [taylor]: Taking taylor expansion of re in re 0.935 * [taylor]: Taking taylor expansion of (pow (exp (/ -1 re)) 1/3) in re 0.935 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (exp (/ -1 re))))) in re 0.935 * [taylor]: Taking taylor expansion of (* 1/3 (log (exp (/ -1 re)))) in re 0.935 * [taylor]: Taking taylor expansion of 1/3 in re 0.935 * [taylor]: Taking taylor expansion of (log (exp (/ -1 re))) in re 0.935 * [taylor]: Taking taylor expansion of (exp (/ -1 re)) in re 0.935 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.935 * [taylor]: Taking taylor expansion of -1 in re 0.935 * [taylor]: Taking taylor expansion of re in re 0.969 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 0.969 * [approximate]: Taking taylor expansion of (sqrt (exp re)) in (re) around 0 0.969 * [taylor]: Taking taylor expansion of (sqrt (exp re)) in re 0.969 * [taylor]: Taking taylor expansion of (exp re) in re 0.969 * [taylor]: Taking taylor expansion of re in re 0.970 * [taylor]: Taking taylor expansion of (sqrt (exp re)) in re 0.970 * [taylor]: Taking taylor expansion of (exp re) in re 0.970 * [taylor]: Taking taylor expansion of re in re 0.973 * [approximate]: Taking taylor expansion of (sqrt (exp (/ 1 re))) in (re) around 0 0.973 * [taylor]: Taking taylor expansion of (sqrt (exp (/ 1 re))) in re 0.973 * [taylor]: Taking taylor expansion of (exp (/ 1 re)) in re 0.973 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.973 * [taylor]: Taking taylor expansion of re in re 0.973 * [taylor]: Taking taylor expansion of (sqrt (exp (/ 1 re))) in re 0.973 * [taylor]: Taking taylor expansion of (exp (/ 1 re)) in re 0.973 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.973 * [taylor]: Taking taylor expansion of re in re 0.976 * [approximate]: Taking taylor expansion of (sqrt (exp (/ -1 re))) in (re) around 0 0.976 * [taylor]: Taking taylor expansion of (sqrt (exp (/ -1 re))) in re 0.976 * [taylor]: Taking taylor expansion of (exp (/ -1 re)) in re 0.976 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.976 * [taylor]: Taking taylor expansion of -1 in re 0.976 * [taylor]: Taking taylor expansion of re in re 0.976 * [taylor]: Taking taylor expansion of (sqrt (exp (/ -1 re))) in re 0.977 * [taylor]: Taking taylor expansion of (exp (/ -1 re)) in re 0.977 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.977 * [taylor]: Taking taylor expansion of -1 in re 0.977 * [taylor]: Taking taylor expansion of re in re 0.980 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.980 * [approximate]: Taking taylor expansion of (* (* (cos im) (fabs (pow (exp re) 1/3))) (pow (pow (exp re) 2) 1/3)) in (re im) around 0 0.980 * [taylor]: Taking taylor expansion of (* (* (cos im) (fabs (pow (exp re) 1/3))) (pow (pow (exp re) 2) 1/3)) in im 0.980 * [taylor]: Taking taylor expansion of (* (cos im) (fabs (pow (exp re) 1/3))) in im 0.980 * [taylor]: Taking taylor expansion of (cos im) in im 0.980 * [taylor]: Taking taylor expansion of im in im 0.980 * [taylor]: Taking taylor expansion of (fabs (pow (exp re) 1/3)) in im 0.980 * [taylor]: Taking taylor expansion of (pow (pow (exp re) 2) 1/3) in im 0.980 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (exp re) 2)))) in im 0.980 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (exp re) 2))) in im 0.980 * [taylor]: Taking taylor expansion of 1/3 in im 0.980 * [taylor]: Taking taylor expansion of (log (pow (exp re) 2)) in im 0.980 * [taylor]: Taking taylor expansion of (pow (exp re) 2) in im 0.980 * [taylor]: Taking taylor expansion of (exp re) in im 0.980 * [taylor]: Taking taylor expansion of re in im 0.981 * [taylor]: Taking taylor expansion of (* (* (cos im) (fabs (pow (exp re) 1/3))) (pow (pow (exp re) 2) 1/3)) in re 0.981 * [taylor]: Taking taylor expansion of (* (cos im) (fabs (pow (exp re) 1/3))) in re 0.981 * [taylor]: Taking taylor expansion of (cos im) in re 0.981 * [taylor]: Taking taylor expansion of im in re 0.981 * [taylor]: Taking taylor expansion of (fabs (pow (exp re) 1/3)) in re 0.981 * [taylor]: Taking taylor expansion of (pow (pow (exp re) 2) 1/3) in re 0.981 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (exp re) 2)))) in re 0.981 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (exp re) 2))) in re 0.981 * [taylor]: Taking taylor expansion of 1/3 in re 0.981 * [taylor]: Taking taylor expansion of (log (pow (exp re) 2)) in re 0.981 * [taylor]: Taking taylor expansion of (pow (exp re) 2) in re 0.981 * [taylor]: Taking taylor expansion of (exp re) in re 0.981 * [taylor]: Taking taylor expansion of re in re 0.983 * [taylor]: Taking taylor expansion of (* (* (cos im) (fabs (pow (exp re) 1/3))) (pow (pow (exp re) 2) 1/3)) in re 0.983 * [taylor]: Taking taylor expansion of (* (cos im) (fabs (pow (exp re) 1/3))) in re 0.983 * [taylor]: Taking taylor expansion of (cos im) in re 0.983 * [taylor]: Taking taylor expansion of im in re 0.984 * [taylor]: Taking taylor expansion of (fabs (pow (exp re) 1/3)) in re 0.984 * [taylor]: Taking taylor expansion of (pow (pow (exp re) 2) 1/3) in re 0.984 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (exp re) 2)))) in re 0.984 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (exp re) 2))) in re 0.984 * [taylor]: Taking taylor expansion of 1/3 in re 0.984 * [taylor]: Taking taylor expansion of (log (pow (exp re) 2)) in re 0.984 * [taylor]: Taking taylor expansion of (pow (exp re) 2) in re 0.984 * [taylor]: Taking taylor expansion of (exp re) in re 0.984 * [taylor]: Taking taylor expansion of re in re 0.987 * [taylor]: Taking taylor expansion of (* (cos im) (fabs (pow (exp re) 1/3))) in im 0.987 * [taylor]: Taking taylor expansion of (cos im) in im 0.987 * [taylor]: Taking taylor expansion of im in im 0.987 * [taylor]: Taking taylor expansion of (fabs (pow (exp re) 1/3)) in im 0.990 * [taylor]: Taking taylor expansion of (* 2/3 (* (cos im) (fabs (pow (exp re) 1/3)))) in im 0.990 * [taylor]: Taking taylor expansion of 2/3 in im 0.990 * [taylor]: Taking taylor expansion of (* (cos im) (fabs (pow (exp re) 1/3))) in im 0.990 * [taylor]: Taking taylor expansion of (cos im) in im 0.990 * [taylor]: Taking taylor expansion of im in im 0.990 * [taylor]: Taking taylor expansion of (fabs (pow (exp re) 1/3)) in im 0.997 * [taylor]: Taking taylor expansion of (* 2/9 (* (cos im) (fabs (pow (exp re) 1/3)))) in im 0.997 * [taylor]: Taking taylor expansion of 2/9 in im 0.997 * [taylor]: Taking taylor expansion of (* (cos im) (fabs (pow (exp re) 1/3))) in im 0.997 * [taylor]: Taking taylor expansion of (cos im) in im 0.997 * [taylor]: Taking taylor expansion of im in im 0.997 * [taylor]: Taking taylor expansion of (fabs (pow (exp re) 1/3)) in im 0.998 * [approximate]: Taking taylor expansion of (* (pow (pow (exp (/ 1 re)) 2) 1/3) (* (fabs (pow (exp (/ 1 re)) 1/3)) (cos (/ 1 im)))) in (re im) around 0 0.998 * [taylor]: Taking taylor expansion of (* (pow (pow (exp (/ 1 re)) 2) 1/3) (* (fabs (pow (exp (/ 1 re)) 1/3)) (cos (/ 1 im)))) in im 0.998 * [taylor]: Taking taylor expansion of (pow (pow (exp (/ 1 re)) 2) 1/3) in im 0.998 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (exp (/ 1 re)) 2)))) in im 0.998 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (exp (/ 1 re)) 2))) in im 0.998 * [taylor]: Taking taylor expansion of 1/3 in im 0.998 * [taylor]: Taking taylor expansion of (log (pow (exp (/ 1 re)) 2)) in im 0.998 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 re)) 2) in im 0.998 * [taylor]: Taking taylor expansion of (exp (/ 1 re)) in im 0.998 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.998 * [taylor]: Taking taylor expansion of re in im 0.999 * [taylor]: Taking taylor expansion of (* (fabs (pow (exp (/ 1 re)) 1/3)) (cos (/ 1 im))) in im 0.999 * [taylor]: Taking taylor expansion of (fabs (pow (exp (/ 1 re)) 1/3)) in im 0.999 * [taylor]: Taking taylor expansion of (cos (/ 1 im)) in im 0.999 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.999 * [taylor]: Taking taylor expansion of im in im 0.999 * [taylor]: Taking taylor expansion of (* (pow (pow (exp (/ 1 re)) 2) 1/3) (* (fabs (pow (exp (/ 1 re)) 1/3)) (cos (/ 1 im)))) in re 0.999 * [taylor]: Taking taylor expansion of (pow (pow (exp (/ 1 re)) 2) 1/3) in re 0.999 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (exp (/ 1 re)) 2)))) in re 0.999 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (exp (/ 1 re)) 2))) in re 0.999 * [taylor]: Taking taylor expansion of 1/3 in re 0.999 * [taylor]: Taking taylor expansion of (log (pow (exp (/ 1 re)) 2)) in re 0.999 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 re)) 2) in re 0.999 * [taylor]: Taking taylor expansion of (exp (/ 1 re)) in re 0.999 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.999 * [taylor]: Taking taylor expansion of re in re 1.000 * [taylor]: Taking taylor expansion of (* (fabs (pow (exp (/ 1 re)) 1/3)) (cos (/ 1 im))) in re 1.000 * [taylor]: Taking taylor expansion of (fabs (pow (exp (/ 1 re)) 1/3)) in re 1.000 * [taylor]: Taking taylor expansion of (cos (/ 1 im)) in re 1.000 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.000 * [taylor]: Taking taylor expansion of im in re 1.000 * [taylor]: Taking taylor expansion of (* (pow (pow (exp (/ 1 re)) 2) 1/3) (* (fabs (pow (exp (/ 1 re)) 1/3)) (cos (/ 1 im)))) in re 1.000 * [taylor]: Taking taylor expansion of (pow (pow (exp (/ 1 re)) 2) 1/3) in re 1.000 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (exp (/ 1 re)) 2)))) in re 1.000 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (exp (/ 1 re)) 2))) in re 1.000 * [taylor]: Taking taylor expansion of 1/3 in re 1.000 * [taylor]: Taking taylor expansion of (log (pow (exp (/ 1 re)) 2)) in re 1.000 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 re)) 2) in re 1.000 * [taylor]: Taking taylor expansion of (exp (/ 1 re)) in re 1.000 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.000 * [taylor]: Taking taylor expansion of re in re 1.001 * [taylor]: Taking taylor expansion of (* (fabs (pow (exp (/ 1 re)) 1/3)) (cos (/ 1 im))) in re 1.001 * [taylor]: Taking taylor expansion of (fabs (pow (exp (/ 1 re)) 1/3)) in re 1.001 * [taylor]: Taking taylor expansion of (cos (/ 1 im)) in re 1.001 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.001 * [taylor]: Taking taylor expansion of im in re 1.002 * [taylor]: Taking taylor expansion of (* (pow (pow (exp (/ 1 re)) 2) 1/3) (* (fabs (pow (exp (/ 1 re)) 1/3)) (cos (/ 1 im)))) in im 1.002 * [taylor]: Taking taylor expansion of (pow (pow (exp (/ 1 re)) 2) 1/3) in im 1.002 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (exp (/ 1 re)) 2)))) in im 1.002 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (exp (/ 1 re)) 2))) in im 1.002 * [taylor]: Taking taylor expansion of 1/3 in im 1.002 * [taylor]: Taking taylor expansion of (log (pow (exp (/ 1 re)) 2)) in im 1.002 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 re)) 2) in im 1.002 * [taylor]: Taking taylor expansion of (exp (/ 1 re)) in im 1.002 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.002 * [taylor]: Taking taylor expansion of re in im 1.003 * [taylor]: Taking taylor expansion of (* (fabs (pow (exp (/ 1 re)) 1/3)) (cos (/ 1 im))) in im 1.003 * [taylor]: Taking taylor expansion of (fabs (pow (exp (/ 1 re)) 1/3)) in im 1.003 * [taylor]: Taking taylor expansion of (cos (/ 1 im)) in im 1.003 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.003 * [taylor]: Taking taylor expansion of im in im 1.007 * [taylor]: Taking taylor expansion of 0 in im 1.015 * [taylor]: Taking taylor expansion of 0 in im 1.027 * [taylor]: Taking taylor expansion of 0 in im 1.028 * [approximate]: Taking taylor expansion of (* (* (fabs (pow (exp (/ -1 re)) 1/3)) (cos (/ -1 im))) (pow (pow (exp (/ -1 re)) 2) 1/3)) in (re im) around 0 1.028 * [taylor]: Taking taylor expansion of (* (* (fabs (pow (exp (/ -1 re)) 1/3)) (cos (/ -1 im))) (pow (pow (exp (/ -1 re)) 2) 1/3)) in im 1.028 * [taylor]: Taking taylor expansion of (* (fabs (pow (exp (/ -1 re)) 1/3)) (cos (/ -1 im))) in im 1.028 * [taylor]: Taking taylor expansion of (fabs (pow (exp (/ -1 re)) 1/3)) in im 1.028 * [taylor]: Taking taylor expansion of (cos (/ -1 im)) in im 1.028 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.028 * [taylor]: Taking taylor expansion of -1 in im 1.028 * [taylor]: Taking taylor expansion of im in im 1.029 * [taylor]: Taking taylor expansion of (pow (pow (exp (/ -1 re)) 2) 1/3) in im 1.029 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (exp (/ -1 re)) 2)))) in im 1.029 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (exp (/ -1 re)) 2))) in im 1.029 * [taylor]: Taking taylor expansion of 1/3 in im 1.029 * [taylor]: Taking taylor expansion of (log (pow (exp (/ -1 re)) 2)) in im 1.029 * [taylor]: Taking taylor expansion of (pow (exp (/ -1 re)) 2) in im 1.029 * [taylor]: Taking taylor expansion of (exp (/ -1 re)) in im 1.029 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.029 * [taylor]: Taking taylor expansion of -1 in im 1.029 * [taylor]: Taking taylor expansion of re in im 1.029 * [taylor]: Taking taylor expansion of (* (* (fabs (pow (exp (/ -1 re)) 1/3)) (cos (/ -1 im))) (pow (pow (exp (/ -1 re)) 2) 1/3)) in re 1.029 * [taylor]: Taking taylor expansion of (* (fabs (pow (exp (/ -1 re)) 1/3)) (cos (/ -1 im))) in re 1.029 * [taylor]: Taking taylor expansion of (fabs (pow (exp (/ -1 re)) 1/3)) in re 1.029 * [taylor]: Taking taylor expansion of (cos (/ -1 im)) in re 1.029 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.029 * [taylor]: Taking taylor expansion of -1 in re 1.029 * [taylor]: Taking taylor expansion of im in re 1.029 * [taylor]: Taking taylor expansion of (pow (pow (exp (/ -1 re)) 2) 1/3) in re 1.029 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (exp (/ -1 re)) 2)))) in re 1.029 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (exp (/ -1 re)) 2))) in re 1.029 * [taylor]: Taking taylor expansion of 1/3 in re 1.029 * [taylor]: Taking taylor expansion of (log (pow (exp (/ -1 re)) 2)) in re 1.029 * [taylor]: Taking taylor expansion of (pow (exp (/ -1 re)) 2) in re 1.029 * [taylor]: Taking taylor expansion of (exp (/ -1 re)) in re 1.029 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.030 * [taylor]: Taking taylor expansion of -1 in re 1.030 * [taylor]: Taking taylor expansion of re in re 1.030 * [taylor]: Taking taylor expansion of (* (* (fabs (pow (exp (/ -1 re)) 1/3)) (cos (/ -1 im))) (pow (pow (exp (/ -1 re)) 2) 1/3)) in re 1.030 * [taylor]: Taking taylor expansion of (* (fabs (pow (exp (/ -1 re)) 1/3)) (cos (/ -1 im))) in re 1.030 * [taylor]: Taking taylor expansion of (fabs (pow (exp (/ -1 re)) 1/3)) in re 1.030 * [taylor]: Taking taylor expansion of (cos (/ -1 im)) in re 1.030 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.030 * [taylor]: Taking taylor expansion of -1 in re 1.030 * [taylor]: Taking taylor expansion of im in re 1.030 * [taylor]: Taking taylor expansion of (pow (pow (exp (/ -1 re)) 2) 1/3) in re 1.030 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (exp (/ -1 re)) 2)))) in re 1.030 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (exp (/ -1 re)) 2))) in re 1.031 * [taylor]: Taking taylor expansion of 1/3 in re 1.031 * [taylor]: Taking taylor expansion of (log (pow (exp (/ -1 re)) 2)) in re 1.031 * [taylor]: Taking taylor expansion of (pow (exp (/ -1 re)) 2) in re 1.031 * [taylor]: Taking taylor expansion of (exp (/ -1 re)) in re 1.031 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.031 * [taylor]: Taking taylor expansion of -1 in re 1.031 * [taylor]: Taking taylor expansion of re in re 1.032 * [taylor]: Taking taylor expansion of (* (* (fabs (pow (exp (/ -1 re)) 1/3)) (cos (/ -1 im))) (pow (pow (exp (/ -1 re)) 2) 1/3)) in im 1.032 * [taylor]: Taking taylor expansion of (* (fabs (pow (exp (/ -1 re)) 1/3)) (cos (/ -1 im))) in im 1.032 * [taylor]: Taking taylor expansion of (fabs (pow (exp (/ -1 re)) 1/3)) in im 1.032 * [taylor]: Taking taylor expansion of (cos (/ -1 im)) in im 1.032 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.032 * [taylor]: Taking taylor expansion of -1 in im 1.032 * [taylor]: Taking taylor expansion of im in im 1.032 * [taylor]: Taking taylor expansion of (pow (pow (exp (/ -1 re)) 2) 1/3) in im 1.033 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (exp (/ -1 re)) 2)))) in im 1.033 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (exp (/ -1 re)) 2))) in im 1.033 * [taylor]: Taking taylor expansion of 1/3 in im 1.033 * [taylor]: Taking taylor expansion of (log (pow (exp (/ -1 re)) 2)) in im 1.033 * [taylor]: Taking taylor expansion of (pow (exp (/ -1 re)) 2) in im 1.033 * [taylor]: Taking taylor expansion of (exp (/ -1 re)) in im 1.033 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.033 * [taylor]: Taking taylor expansion of -1 in im 1.033 * [taylor]: Taking taylor expansion of re in im 1.037 * [taylor]: Taking taylor expansion of 0 in im 1.048 * [taylor]: Taking taylor expansion of 0 in im 1.060 * [taylor]: Taking taylor expansion of 0 in im 1.060 * * * [progress]: simplifying candidates 1.061 * [simplify]: Simplifying using # : (expm1 (cbrt (exp re))) (log1p (cbrt (exp re))) (log (cbrt (exp re))) (exp (cbrt (exp re))) (cbrt (* (cbrt (exp re)) (cbrt (exp re)))) (cbrt (cbrt (exp re))) (cbrt (sqrt (exp re))) (cbrt (sqrt (exp re))) (cbrt 1) (cbrt (exp re)) (* (cbrt (cbrt (exp re))) (cbrt (cbrt (exp re)))) (cbrt (cbrt (exp re))) (* (* (cbrt (exp re)) (cbrt (exp re))) (cbrt (exp re))) (sqrt (cbrt (exp re))) (sqrt (cbrt (exp re))) (expm1 (cbrt (exp re))) (log1p (cbrt (exp re))) (log (cbrt (exp re))) (exp (cbrt (exp re))) (cbrt (* (cbrt (exp re)) (cbrt (exp re)))) (cbrt (cbrt (exp re))) (cbrt (sqrt (exp re))) (cbrt (sqrt (exp re))) (cbrt 1) (cbrt (exp re)) (* (cbrt (cbrt (exp re))) (cbrt (cbrt (exp re)))) (cbrt (cbrt (exp re))) (* (* (cbrt (exp re)) (cbrt (exp re))) (cbrt (exp re))) (sqrt (cbrt (exp re))) (sqrt (cbrt (exp re))) (expm1 (sqrt (exp re))) (log1p (sqrt (exp re))) (log (sqrt (exp re))) (exp (sqrt (exp re))) (* (cbrt (sqrt (exp re))) (cbrt (sqrt (exp re)))) (cbrt (sqrt (exp re))) (* (* (sqrt (exp re)) (sqrt (exp re))) (sqrt (exp re))) (sqrt (* (cbrt (exp re)) (cbrt (exp re)))) (sqrt (cbrt (exp re))) (sqrt (sqrt (exp re))) (sqrt (sqrt (exp re))) (sqrt 1) (sqrt (exp re)) (/ 1 2) (/ (cbrt re) 2) (/ (sqrt re) 2) (/ re 2) (sqrt (sqrt (exp re))) (sqrt (sqrt (exp re))) (expm1 (* (* (fabs (cbrt (exp re))) (sqrt (cbrt (exp re)))) (* (sqrt (exp re)) (cos im)))) (log1p (* (* (fabs (cbrt (exp re))) (sqrt (cbrt (exp re)))) (* (sqrt (exp re)) (cos im)))) (* (* (fabs (cbrt (exp re))) (sqrt (cbrt (exp re)))) (* (sqrt (exp re)) (cos im))) (* (* (fabs (cbrt (exp re))) (sqrt (cbrt (exp re)))) (* (sqrt (exp re)) (cos im))) (* (* (fabs (cbrt (exp re))) (sqrt (cbrt (exp re)))) (* (sqrt (exp re)) (cos im))) (* (* (fabs (cbrt (exp re))) (sqrt (cbrt (exp re)))) (* (sqrt (exp re)) (cos im))) (+ (+ (log (fabs (cbrt (exp re)))) (log (sqrt (cbrt (exp re))))) (+ (log (sqrt (exp re))) (log (cos im)))) (+ (+ (log (fabs (cbrt (exp re)))) (log (sqrt (cbrt (exp re))))) (log (* (sqrt (exp re)) (cos im)))) (+ (log (* (fabs (cbrt (exp re))) (sqrt (cbrt (exp re))))) (+ (log (sqrt (exp re))) (log (cos im)))) (+ (log (* (fabs (cbrt (exp re))) (sqrt (cbrt (exp re))))) (log (* (sqrt (exp re)) (cos im)))) (log (* (* (fabs (cbrt (exp re))) (sqrt (cbrt (exp re)))) (* (sqrt (exp re)) (cos im)))) (exp (* (* (fabs (cbrt (exp re))) (sqrt (cbrt (exp re)))) (* (sqrt (exp re)) (cos im)))) (* (* (* (* (fabs (cbrt (exp re))) (fabs (cbrt (exp re)))) (fabs (cbrt (exp re)))) (* (* (sqrt (cbrt (exp re))) (sqrt (cbrt (exp re)))) (sqrt (cbrt (exp re))))) (* (* (* (sqrt (exp re)) (sqrt (exp re))) (sqrt (exp re))) (* (* (cos im) (cos im)) (cos im)))) (* (* (* (* (fabs (cbrt (exp re))) (fabs (cbrt (exp re)))) (fabs (cbrt (exp re)))) (* (* (sqrt (cbrt (exp re))) (sqrt (cbrt (exp re)))) (sqrt (cbrt (exp re))))) (* (* (* (sqrt (exp re)) (cos im)) (* (sqrt (exp re)) (cos im))) (* (sqrt (exp re)) (cos im)))) (* (* (* (* (fabs (cbrt (exp re))) (sqrt (cbrt (exp re)))) (* (fabs (cbrt (exp re))) (sqrt (cbrt (exp re))))) (* (fabs (cbrt (exp re))) (sqrt (cbrt (exp re))))) (* (* (* (sqrt (exp re)) (sqrt (exp re))) (sqrt (exp re))) (* (* (cos im) (cos im)) (cos im)))) (* (* (* (* (fabs (cbrt (exp re))) (sqrt (cbrt (exp re)))) (* (fabs (cbrt (exp re))) (sqrt (cbrt (exp re))))) (* (fabs (cbrt (exp re))) (sqrt (cbrt (exp re))))) (* (* (* (sqrt (exp re)) (cos im)) (* (sqrt (exp re)) (cos im))) (* (sqrt (exp re)) (cos im)))) (* (cbrt (* (* (fabs (cbrt (exp re))) (sqrt (cbrt (exp re)))) (* (sqrt (exp re)) (cos im)))) (cbrt (* (* (fabs (cbrt (exp re))) (sqrt (cbrt (exp re)))) (* (sqrt (exp re)) (cos im))))) (cbrt (* (* (fabs (cbrt (exp re))) (sqrt (cbrt (exp re)))) (* (sqrt (exp re)) (cos im)))) (* (* (* (* (fabs (cbrt (exp re))) (sqrt (cbrt (exp re)))) (* (sqrt (exp re)) (cos im))) (* (* (fabs (cbrt (exp re))) (sqrt (cbrt (exp re)))) (* (sqrt (exp re)) (cos im)))) (* (* (fabs (cbrt (exp re))) (sqrt (cbrt (exp re)))) (* (sqrt (exp re)) (cos im)))) (sqrt (* (* (fabs (cbrt (exp re))) (sqrt (cbrt (exp re)))) (* (sqrt (exp re)) (cos im)))) (sqrt (* (* (fabs (cbrt (exp re))) (sqrt (cbrt (exp re)))) (* (sqrt (exp re)) (cos im)))) (* (* (fabs (cbrt (exp re))) (sqrt (cbrt (exp re)))) (sqrt (exp re))) (* (sqrt (cbrt (exp re))) (* (sqrt (exp re)) (cos im))) (+ 1 (+ (* 1/18 (pow re 2)) (* 1/3 re))) (exp (* 1/3 re)) (exp (* 1/3 re)) (+ 1 (+ (* 1/18 (pow re 2)) (* 1/3 re))) (exp (* 1/3 re)) (exp (* 1/3 re)) (+ 1 (+ (* 1/8 (pow re 2)) (* 1/2 re))) (sqrt (exp re)) (sqrt (exp re)) (+ (* 2/9 (* (fabs (pow (exp re) 1/3)) (pow re 2))) (+ (* 2/3 (* (fabs (pow (exp re) 1/3)) re)) (fabs (pow (exp re) 1/3)))) (* (* (cos im) (fabs (pow (exp re) 1/3))) (pow (pow (exp re) 2) 1/3)) (* (* (cos im) (fabs (pow (exp re) 1/3))) (pow (pow (exp re) 2) 1/3)) 1.062 * [simplify]: Sending expressions to egg_math: (expm1 (cbrt (exp h0))) (log1p (cbrt (exp h0))) (log (cbrt (exp h0))) (exp (cbrt (exp h0))) (cbrt (* (cbrt (exp h0)) (cbrt (exp h0)))) (cbrt (cbrt (exp h0))) (cbrt (sqrt (exp h0))) (cbrt (sqrt (exp h0))) (cbrt 1) (cbrt (exp h0)) (* (cbrt (cbrt (exp h0))) (cbrt (cbrt (exp h0)))) (cbrt (cbrt (exp h0))) (* (* (cbrt (exp h0)) (cbrt (exp h0))) (cbrt (exp h0))) (sqrt (cbrt (exp h0))) (sqrt (cbrt (exp h0))) (expm1 (cbrt (exp h0))) (log1p (cbrt (exp h0))) (log (cbrt (exp h0))) (exp (cbrt (exp h0))) (cbrt (* (cbrt (exp h0)) (cbrt (exp h0)))) (cbrt (cbrt (exp h0))) (cbrt (sqrt (exp h0))) (cbrt (sqrt (exp h0))) (cbrt 1) (cbrt (exp h0)) (* (cbrt (cbrt (exp h0))) (cbrt (cbrt (exp h0)))) (cbrt (cbrt (exp h0))) (* (* (cbrt (exp h0)) (cbrt (exp h0))) (cbrt (exp h0))) (sqrt (cbrt (exp h0))) (sqrt (cbrt (exp h0))) (expm1 (sqrt (exp h0))) (log1p (sqrt (exp h0))) (log (sqrt (exp h0))) (exp (sqrt (exp h0))) (* (cbrt (sqrt (exp h0))) (cbrt (sqrt (exp h0)))) (cbrt (sqrt (exp h0))) (* (* (sqrt (exp h0)) (sqrt (exp h0))) (sqrt (exp h0))) (sqrt (* (cbrt (exp h0)) (cbrt (exp h0)))) (sqrt (cbrt (exp h0))) (sqrt (sqrt (exp h0))) (sqrt (sqrt (exp h0))) (sqrt 1) (sqrt (exp h0)) (/ 1 2) (/ (cbrt h0) 2) (/ (sqrt h0) 2) (/ h0 2) (sqrt (sqrt (exp h0))) (sqrt (sqrt (exp h0))) (expm1 (* (* (fabs (cbrt (exp h0))) (sqrt (cbrt (exp h0)))) (* (sqrt (exp h0)) (cos h1)))) (log1p (* (* (fabs (cbrt (exp h0))) (sqrt (cbrt (exp h0)))) (* (sqrt (exp h0)) (cos h1)))) (* (* (fabs (cbrt (exp h0))) (sqrt (cbrt (exp h0)))) (* (sqrt (exp h0)) (cos h1))) (* (* (fabs (cbrt (exp h0))) (sqrt (cbrt (exp h0)))) (* (sqrt (exp h0)) (cos h1))) (* (* (fabs (cbrt (exp h0))) (sqrt (cbrt (exp h0)))) (* (sqrt (exp h0)) (cos h1))) (* (* (fabs (cbrt (exp h0))) (sqrt (cbrt (exp h0)))) (* (sqrt (exp h0)) (cos h1))) (+ (+ (log (fabs (cbrt (exp h0)))) (log (sqrt (cbrt (exp h0))))) (+ (log (sqrt (exp h0))) (log (cos h1)))) (+ (+ (log (fabs (cbrt (exp h0)))) (log (sqrt (cbrt (exp h0))))) (log (* (sqrt (exp h0)) (cos h1)))) (+ (log (* (fabs (cbrt (exp h0))) (sqrt (cbrt (exp h0))))) (+ (log (sqrt (exp h0))) (log (cos h1)))) (+ (log (* (fabs (cbrt (exp h0))) (sqrt (cbrt (exp h0))))) (log (* (sqrt (exp h0)) (cos h1)))) (log (* (* (fabs (cbrt (exp h0))) (sqrt (cbrt (exp h0)))) (* (sqrt (exp h0)) (cos h1)))) (exp (* (* (fabs (cbrt (exp h0))) (sqrt (cbrt (exp h0)))) (* (sqrt (exp h0)) (cos h1)))) (* (* (* (* (fabs (cbrt (exp h0))) (fabs (cbrt (exp h0)))) (fabs (cbrt (exp h0)))) (* (* (sqrt (cbrt (exp h0))) (sqrt (cbrt (exp h0)))) (sqrt (cbrt (exp h0))))) (* (* (* (sqrt (exp h0)) (sqrt (exp h0))) (sqrt (exp h0))) (* (* (cos h1) (cos h1)) (cos h1)))) (* (* (* (* (fabs (cbrt (exp h0))) (fabs (cbrt (exp h0)))) (fabs (cbrt (exp h0)))) (* (* (sqrt (cbrt (exp h0))) (sqrt (cbrt (exp h0)))) (sqrt (cbrt (exp h0))))) (* (* (* (sqrt (exp h0)) (cos h1)) (* (sqrt (exp h0)) (cos h1))) (* (sqrt (exp h0)) (cos h1)))) (* (* (* (* (fabs (cbrt (exp h0))) (sqrt (cbrt (exp h0)))) (* (fabs (cbrt (exp h0))) (sqrt (cbrt (exp h0))))) (* (fabs (cbrt (exp h0))) (sqrt (cbrt (exp h0))))) (* (* (* (sqrt (exp h0)) (sqrt (exp h0))) (sqrt (exp h0))) (* (* (cos h1) (cos h1)) (cos h1)))) (* (* (* (* (fabs (cbrt (exp h0))) (sqrt (cbrt (exp h0)))) (* (fabs (cbrt (exp h0))) (sqrt (cbrt (exp h0))))) (* (fabs (cbrt (exp h0))) (sqrt (cbrt (exp h0))))) (* (* (* (sqrt (exp h0)) (cos h1)) (* (sqrt (exp h0)) (cos h1))) (* (sqrt (exp h0)) (cos h1)))) (* (cbrt (* (* (fabs (cbrt (exp h0))) (sqrt (cbrt (exp h0)))) (* (sqrt (exp h0)) (cos h1)))) (cbrt (* (* (fabs (cbrt (exp h0))) (sqrt (cbrt (exp h0)))) (* (sqrt (exp h0)) (cos h1))))) (cbrt (* (* (fabs (cbrt (exp h0))) (sqrt (cbrt (exp h0)))) (* (sqrt (exp h0)) (cos h1)))) (* (* (* (* (fabs (cbrt (exp h0))) (sqrt (cbrt (exp h0)))) (* (sqrt (exp h0)) (cos h1))) (* (* (fabs (cbrt (exp h0))) (sqrt (cbrt (exp h0)))) (* (sqrt (exp h0)) (cos h1)))) (* (* (fabs (cbrt (exp h0))) (sqrt (cbrt (exp h0)))) (* (sqrt (exp h0)) (cos h1)))) (sqrt (* (* (fabs (cbrt (exp h0))) (sqrt (cbrt (exp h0)))) (* (sqrt (exp h0)) (cos h1)))) (sqrt (* (* (fabs (cbrt (exp h0))) (sqrt (cbrt (exp h0)))) (* (sqrt (exp h0)) (cos h1)))) (* (* (fabs (cbrt (exp h0))) (sqrt (cbrt (exp h0)))) (sqrt (exp h0))) (* (sqrt (cbrt (exp h0))) (* (sqrt (exp h0)) (cos h1))) (+ 1 (+ (* 1/18 (pow h0 2)) (* 1/3 h0))) (exp (* 1/3 h0)) (exp (* 1/3 h0)) (+ 1 (+ (* 1/18 (pow h0 2)) (* 1/3 h0))) (exp (* 1/3 h0)) (exp (* 1/3 h0)) (+ 1 (+ (* 1/8 (pow h0 2)) (* 1/2 h0))) (sqrt (exp h0)) (sqrt (exp h0)) (+ (* 2/9 (* (fabs (pow (exp h0) 1/3)) (pow h0 2))) (+ (* 2/3 (* (fabs (pow (exp h0) 1/3)) h0)) (fabs (pow (exp h0) 1/3)))) (* (* (cos h1) (fabs (pow (exp h0) 1/3))) (pow (pow (exp h0) 2) 1/3)) (* (* (cos h1) (fabs (pow (exp h0) 1/3))) (pow (pow (exp h0) 2) 1/3)) 1.066 * * [simplify]: iteration 0 : 241 enodes (cost 597 ) 1.070 * * [simplify]: iteration 1 : 944 enodes (cost 506 ) 1.092 * * [simplify]: iteration 2 : 5001 enodes (cost 497 ) 1.095 * [simplify]: Simplified to: (expm1 (cbrt (exp re))) (log1p (cbrt (exp re))) (* 1/3 re) (exp (cbrt (exp re))) (cbrt (* (cbrt (exp re)) (cbrt (exp re)))) (cbrt (cbrt (exp re))) (cbrt (sqrt (exp re))) (cbrt (sqrt (exp re))) (cbrt 1) (pow (exp re) 1/3) (* (cbrt (cbrt (exp re))) (cbrt (cbrt (exp re)))) (cbrt (cbrt (exp re))) (exp re) (sqrt (cbrt (exp re))) (sqrt (cbrt (exp re))) (expm1 (cbrt (exp re))) (log1p (cbrt (exp re))) (* 1/3 re) (exp (cbrt (exp re))) (cbrt (* (cbrt (exp re)) (cbrt (exp re)))) (cbrt (cbrt (exp re))) (cbrt (sqrt (exp re))) (cbrt (sqrt (exp re))) (cbrt 1) (pow (exp re) 1/3) (* (cbrt (cbrt (exp re))) (cbrt (cbrt (exp re)))) (cbrt (cbrt (exp re))) (exp re) (sqrt (cbrt (exp re))) (sqrt (cbrt (exp re))) (expm1 (sqrt (exp re))) (log1p (sqrt (exp re))) (log (pow (exp re) 1/2)) (exp (sqrt (exp re))) (* (cbrt (sqrt (exp re))) (cbrt (sqrt (exp re)))) (cbrt (sqrt (exp re))) (pow (sqrt (exp re)) 3) (fabs (cbrt (exp re))) (sqrt (cbrt (exp re))) (sqrt (sqrt (exp re))) (sqrt (sqrt (exp re))) (sqrt 1) (pow (exp re) 1/2) 1/2 (/ (cbrt re) 2) (/ (pow re 1/2) 2) (* 1/2 re) (sqrt (sqrt (exp re))) (sqrt (sqrt (exp re))) (expm1 (* (* (fabs (cbrt (exp re))) (sqrt (cbrt (exp re)))) (* (sqrt (exp re)) (cos im)))) (log1p (* (* (fabs (cbrt (exp re))) (sqrt (cbrt (exp re)))) (* (sqrt (exp re)) (cos im)))) (* (* (fabs (cbrt (exp re))) (sqrt (cbrt (exp re)))) (* (sqrt (exp re)) (cos im))) (* (* (fabs (cbrt (exp re))) (sqrt (cbrt (exp re)))) (* (sqrt (exp re)) (cos im))) (* (* (fabs (cbrt (exp re))) (sqrt (cbrt (exp re)))) (* (sqrt (exp re)) (cos im))) (* (* (fabs (cbrt (exp re))) (sqrt (cbrt (exp re)))) (* (sqrt (exp re)) (cos im))) (log (* (* (fabs (cbrt (exp re))) (sqrt (cbrt (exp re)))) (* (sqrt (exp re)) (cos im)))) (log (* (* (fabs (cbrt (exp re))) (sqrt (cbrt (exp re)))) (* (sqrt (exp re)) (cos im)))) (log (* (* (fabs (cbrt (exp re))) (sqrt (cbrt (exp re)))) (* (sqrt (exp re)) (cos im)))) (log (* (* (fabs (cbrt (exp re))) (sqrt (cbrt (exp re)))) (* (sqrt (exp re)) (cos im)))) (log (* (* (fabs (cbrt (exp re))) (sqrt (cbrt (exp re)))) (* (sqrt (exp re)) (cos im)))) (exp (* (* (fabs (cbrt (exp re))) (sqrt (cbrt (exp re)))) (* (sqrt (exp re)) (cos im)))) (pow (* (* (fabs (cbrt (exp re))) (sqrt (cbrt (exp re)))) (* (sqrt (exp re)) (cos im))) 3) (pow (* (* (fabs (cbrt (exp re))) (sqrt (cbrt (exp re)))) (* (sqrt (exp re)) (cos im))) 3) (pow (* (* (fabs (cbrt (exp re))) (sqrt (cbrt (exp re)))) (* (sqrt (exp re)) (cos im))) 3) (pow (* (* (fabs (cbrt (exp re))) (sqrt (cbrt (exp re)))) (* (sqrt (exp re)) (cos im))) 3) (* (cbrt (* (* (fabs (cbrt (exp re))) (sqrt (cbrt (exp re)))) (* (sqrt (exp re)) (cos im)))) (cbrt (* (* (fabs (cbrt (exp re))) (sqrt (cbrt (exp re)))) (* (sqrt (exp re)) (cos im))))) (cbrt (* (* (fabs (cbrt (exp re))) (sqrt (cbrt (exp re)))) (* (sqrt (exp re)) (cos im)))) (pow (* (* (fabs (cbrt (exp re))) (sqrt (cbrt (exp re)))) (* (sqrt (exp re)) (cos im))) 3) (sqrt (* (* (fabs (cbrt (exp re))) (sqrt (cbrt (exp re)))) (* (sqrt (exp re)) (cos im)))) (sqrt (* (* (fabs (cbrt (exp re))) (sqrt (cbrt (exp re)))) (* (sqrt (exp re)) (cos im)))) (* (* (fabs (cbrt (exp re))) (sqrt (cbrt (exp re)))) (sqrt (exp re))) (* (sqrt (cbrt (exp re))) (* (sqrt (exp re)) (cos im))) (+ (fma 1/18 (pow re 2) (* 1/3 re)) 1) (pow (exp re) 1/3) (pow (exp re) 1/3) (+ (fma 1/18 (pow re 2) (* 1/3 re)) 1) (pow (exp re) 1/3) (pow (exp re) 1/3) (+ (fma 1/8 (pow re 2) (* 1/2 re)) 1) (pow (exp re) 1/2) (pow (exp re) 1/2) (+ (* 2/3 (* (fabs (pow (exp re) 1/3)) re)) (* (+ (* 2/9 (pow re 2)) 1) (fabs (cbrt (exp re))))) (* (* (cos im) (fabs (pow (exp re) 1/3))) (pow (pow (exp re) 2) 1/3)) (* (* (cos im) (fabs (pow (exp re) 1/3))) (pow (pow (exp re) 2) 1/3)) 1.095 * * * [progress]: adding candidates to table 1.326 * * [progress]: iteration 4 / 4 1.326 * * * [progress]: picking best candidate 1.328 * * * * [pick]: Picked # 1.328 * * * [progress]: localizing error 1.336 * * * [progress]: generating rewritten candidates 1.336 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 1.343 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 1.351 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1) 1.366 * * * [progress]: generating series expansions 1.366 * * * * [progress]: [ 1 / 3 ] generating series at (2) 1.366 * [approximate]: Taking taylor expansion of (* (cos im) (exp re)) in (re im) around 0 1.366 * [taylor]: Taking taylor expansion of (* (cos im) (exp re)) in im 1.366 * [taylor]: Taking taylor expansion of (cos im) in im 1.366 * [taylor]: Taking taylor expansion of im in im 1.366 * [taylor]: Taking taylor expansion of (exp re) in im 1.366 * [taylor]: Taking taylor expansion of re in im 1.366 * [taylor]: Taking taylor expansion of (* (cos im) (exp re)) in re 1.366 * [taylor]: Taking taylor expansion of (cos im) in re 1.366 * [taylor]: Taking taylor expansion of im in re 1.366 * [taylor]: Taking taylor expansion of (exp re) in re 1.366 * [taylor]: Taking taylor expansion of re in re 1.366 * [taylor]: Taking taylor expansion of (* (cos im) (exp re)) in re 1.366 * [taylor]: Taking taylor expansion of (cos im) in re 1.366 * [taylor]: Taking taylor expansion of im in re 1.366 * [taylor]: Taking taylor expansion of (exp re) in re 1.366 * [taylor]: Taking taylor expansion of re in re 1.367 * [taylor]: Taking taylor expansion of (cos im) in im 1.367 * [taylor]: Taking taylor expansion of im in im 1.369 * [taylor]: Taking taylor expansion of (cos im) in im 1.370 * [taylor]: Taking taylor expansion of im in im 1.373 * [taylor]: Taking taylor expansion of (* 1/2 (cos im)) in im 1.373 * [taylor]: Taking taylor expansion of 1/2 in im 1.373 * [taylor]: Taking taylor expansion of (cos im) in im 1.373 * [taylor]: Taking taylor expansion of im in im 1.373 * [approximate]: Taking taylor expansion of (* (exp (/ 1 re)) (cos (/ 1 im))) in (re im) around 0 1.374 * [taylor]: Taking taylor expansion of (* (exp (/ 1 re)) (cos (/ 1 im))) in im 1.374 * [taylor]: Taking taylor expansion of (exp (/ 1 re)) in im 1.374 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.374 * [taylor]: Taking taylor expansion of re in im 1.374 * [taylor]: Taking taylor expansion of (cos (/ 1 im)) in im 1.374 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.374 * [taylor]: Taking taylor expansion of im in im 1.374 * [taylor]: Taking taylor expansion of (* (exp (/ 1 re)) (cos (/ 1 im))) in re 1.374 * [taylor]: Taking taylor expansion of (exp (/ 1 re)) in re 1.374 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.374 * [taylor]: Taking taylor expansion of re in re 1.374 * [taylor]: Taking taylor expansion of (cos (/ 1 im)) in re 1.374 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.374 * [taylor]: Taking taylor expansion of im in re 1.374 * [taylor]: Taking taylor expansion of (* (exp (/ 1 re)) (cos (/ 1 im))) in re 1.374 * [taylor]: Taking taylor expansion of (exp (/ 1 re)) in re 1.374 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.374 * [taylor]: Taking taylor expansion of re in re 1.375 * [taylor]: Taking taylor expansion of (cos (/ 1 im)) in re 1.375 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.375 * [taylor]: Taking taylor expansion of im in re 1.375 * [taylor]: Taking taylor expansion of (* (exp (/ 1 re)) (cos (/ 1 im))) in im 1.375 * [taylor]: Taking taylor expansion of (exp (/ 1 re)) in im 1.375 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.375 * [taylor]: Taking taylor expansion of re in im 1.375 * [taylor]: Taking taylor expansion of (cos (/ 1 im)) in im 1.375 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.375 * [taylor]: Taking taylor expansion of im in im 1.377 * [taylor]: Taking taylor expansion of 0 in im 1.380 * [taylor]: Taking taylor expansion of 0 in im 1.385 * [taylor]: Taking taylor expansion of 0 in im 1.385 * [approximate]: Taking taylor expansion of (* (exp (/ -1 re)) (cos (/ -1 im))) in (re im) around 0 1.385 * [taylor]: Taking taylor expansion of (* (exp (/ -1 re)) (cos (/ -1 im))) in im 1.385 * [taylor]: Taking taylor expansion of (exp (/ -1 re)) in im 1.385 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.385 * [taylor]: Taking taylor expansion of -1 in im 1.385 * [taylor]: Taking taylor expansion of re in im 1.385 * [taylor]: Taking taylor expansion of (cos (/ -1 im)) in im 1.385 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.385 * [taylor]: Taking taylor expansion of -1 in im 1.385 * [taylor]: Taking taylor expansion of im in im 1.385 * [taylor]: Taking taylor expansion of (* (exp (/ -1 re)) (cos (/ -1 im))) in re 1.385 * [taylor]: Taking taylor expansion of (exp (/ -1 re)) in re 1.385 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.385 * [taylor]: Taking taylor expansion of -1 in re 1.386 * [taylor]: Taking taylor expansion of re in re 1.386 * [taylor]: Taking taylor expansion of (cos (/ -1 im)) in re 1.386 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.386 * [taylor]: Taking taylor expansion of -1 in re 1.386 * [taylor]: Taking taylor expansion of im in re 1.386 * [taylor]: Taking taylor expansion of (* (exp (/ -1 re)) (cos (/ -1 im))) in re 1.386 * [taylor]: Taking taylor expansion of (exp (/ -1 re)) in re 1.386 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.386 * [taylor]: Taking taylor expansion of -1 in re 1.386 * [taylor]: Taking taylor expansion of re in re 1.386 * [taylor]: Taking taylor expansion of (cos (/ -1 im)) in re 1.386 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.386 * [taylor]: Taking taylor expansion of -1 in re 1.386 * [taylor]: Taking taylor expansion of im in re 1.387 * [taylor]: Taking taylor expansion of (* (exp (/ -1 re)) (cos (/ -1 im))) in im 1.387 * [taylor]: Taking taylor expansion of (exp (/ -1 re)) in im 1.387 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.387 * [taylor]: Taking taylor expansion of -1 in im 1.387 * [taylor]: Taking taylor expansion of re in im 1.387 * [taylor]: Taking taylor expansion of (cos (/ -1 im)) in im 1.387 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.387 * [taylor]: Taking taylor expansion of -1 in im 1.387 * [taylor]: Taking taylor expansion of im in im 1.389 * [taylor]: Taking taylor expansion of 0 in im 1.392 * [taylor]: Taking taylor expansion of 0 in im 1.397 * [taylor]: Taking taylor expansion of 0 in im 1.397 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 1.397 * [approximate]: Taking taylor expansion of (exp (* (cos im) (exp re))) in (re im) around 0 1.397 * [taylor]: Taking taylor expansion of (exp (* (cos im) (exp re))) in im 1.397 * [taylor]: Taking taylor expansion of (* (cos im) (exp re)) in im 1.397 * [taylor]: Taking taylor expansion of (cos im) in im 1.397 * [taylor]: Taking taylor expansion of im in im 1.397 * [taylor]: Taking taylor expansion of (exp re) in im 1.397 * [taylor]: Taking taylor expansion of re in im 1.397 * [taylor]: Taking taylor expansion of (exp (* (cos im) (exp re))) in re 1.397 * [taylor]: Taking taylor expansion of (* (cos im) (exp re)) in re 1.397 * [taylor]: Taking taylor expansion of (cos im) in re 1.397 * [taylor]: Taking taylor expansion of im in re 1.397 * [taylor]: Taking taylor expansion of (exp re) in re 1.397 * [taylor]: Taking taylor expansion of re in re 1.397 * [taylor]: Taking taylor expansion of (exp (* (cos im) (exp re))) in re 1.397 * [taylor]: Taking taylor expansion of (* (cos im) (exp re)) in re 1.398 * [taylor]: Taking taylor expansion of (cos im) in re 1.398 * [taylor]: Taking taylor expansion of im in re 1.398 * [taylor]: Taking taylor expansion of (exp re) in re 1.398 * [taylor]: Taking taylor expansion of re in re 1.398 * [taylor]: Taking taylor expansion of (exp (cos im)) in im 1.398 * [taylor]: Taking taylor expansion of (cos im) in im 1.398 * [taylor]: Taking taylor expansion of im in im 1.400 * [taylor]: Taking taylor expansion of (* (cos im) (exp (cos im))) in im 1.401 * [taylor]: Taking taylor expansion of (cos im) in im 1.401 * [taylor]: Taking taylor expansion of im in im 1.401 * [taylor]: Taking taylor expansion of (exp (cos im)) in im 1.401 * [taylor]: Taking taylor expansion of (cos im) in im 1.401 * [taylor]: Taking taylor expansion of im in im 1.405 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (pow (cos im) 2)) (* 1/2 (cos im))) (exp (cos im))) in im 1.405 * [taylor]: Taking taylor expansion of (+ (* 1/2 (pow (cos im) 2)) (* 1/2 (cos im))) in im 1.405 * [taylor]: Taking taylor expansion of (* 1/2 (pow (cos im) 2)) in im 1.405 * [taylor]: Taking taylor expansion of 1/2 in im 1.405 * [taylor]: Taking taylor expansion of (pow (cos im) 2) in im 1.405 * [taylor]: Taking taylor expansion of (cos im) in im 1.405 * [taylor]: Taking taylor expansion of im in im 1.405 * [taylor]: Taking taylor expansion of (* 1/2 (cos im)) in im 1.405 * [taylor]: Taking taylor expansion of 1/2 in im 1.405 * [taylor]: Taking taylor expansion of (cos im) in im 1.405 * [taylor]: Taking taylor expansion of im in im 1.405 * [taylor]: Taking taylor expansion of (exp (cos im)) in im 1.405 * [taylor]: Taking taylor expansion of (cos im) in im 1.405 * [taylor]: Taking taylor expansion of im in im 1.407 * [approximate]: Taking taylor expansion of (exp (* (exp (/ 1 re)) (cos (/ 1 im)))) in (re im) around 0 1.407 * [taylor]: Taking taylor expansion of (exp (* (exp (/ 1 re)) (cos (/ 1 im)))) in im 1.407 * [taylor]: Taking taylor expansion of (* (exp (/ 1 re)) (cos (/ 1 im))) in im 1.407 * [taylor]: Taking taylor expansion of (exp (/ 1 re)) in im 1.407 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.407 * [taylor]: Taking taylor expansion of re in im 1.407 * [taylor]: Taking taylor expansion of (cos (/ 1 im)) in im 1.407 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.407 * [taylor]: Taking taylor expansion of im in im 1.407 * [taylor]: Taking taylor expansion of (exp (* (exp (/ 1 re)) (cos (/ 1 im)))) in re 1.407 * [taylor]: Taking taylor expansion of (* (exp (/ 1 re)) (cos (/ 1 im))) in re 1.407 * [taylor]: Taking taylor expansion of (exp (/ 1 re)) in re 1.407 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.407 * [taylor]: Taking taylor expansion of re in re 1.408 * [taylor]: Taking taylor expansion of (cos (/ 1 im)) in re 1.408 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.408 * [taylor]: Taking taylor expansion of im in re 1.408 * [taylor]: Taking taylor expansion of (exp (* (exp (/ 1 re)) (cos (/ 1 im)))) in re 1.408 * [taylor]: Taking taylor expansion of (* (exp (/ 1 re)) (cos (/ 1 im))) in re 1.408 * [taylor]: Taking taylor expansion of (exp (/ 1 re)) in re 1.408 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.408 * [taylor]: Taking taylor expansion of re in re 1.409 * [taylor]: Taking taylor expansion of (cos (/ 1 im)) in re 1.409 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.409 * [taylor]: Taking taylor expansion of im in re 1.409 * [taylor]: Taking taylor expansion of (exp (* (exp (/ 1 re)) (cos (/ 1 im)))) in im 1.409 * [taylor]: Taking taylor expansion of (* (exp (/ 1 re)) (cos (/ 1 im))) in im 1.409 * [taylor]: Taking taylor expansion of (exp (/ 1 re)) in im 1.409 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.409 * [taylor]: Taking taylor expansion of re in im 1.409 * [taylor]: Taking taylor expansion of (cos (/ 1 im)) in im 1.409 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.409 * [taylor]: Taking taylor expansion of im in im 1.412 * [taylor]: Taking taylor expansion of 0 in im 1.416 * [taylor]: Taking taylor expansion of 0 in im 1.425 * [taylor]: Taking taylor expansion of 0 in im 1.425 * [approximate]: Taking taylor expansion of (exp (* (exp (/ -1 re)) (cos (/ -1 im)))) in (re im) around 0 1.425 * [taylor]: Taking taylor expansion of (exp (* (exp (/ -1 re)) (cos (/ -1 im)))) in im 1.425 * [taylor]: Taking taylor expansion of (* (exp (/ -1 re)) (cos (/ -1 im))) in im 1.425 * [taylor]: Taking taylor expansion of (exp (/ -1 re)) in im 1.425 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.425 * [taylor]: Taking taylor expansion of -1 in im 1.425 * [taylor]: Taking taylor expansion of re in im 1.425 * [taylor]: Taking taylor expansion of (cos (/ -1 im)) in im 1.425 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.425 * [taylor]: Taking taylor expansion of -1 in im 1.425 * [taylor]: Taking taylor expansion of im in im 1.426 * [taylor]: Taking taylor expansion of (exp (* (exp (/ -1 re)) (cos (/ -1 im)))) in re 1.426 * [taylor]: Taking taylor expansion of (* (exp (/ -1 re)) (cos (/ -1 im))) in re 1.426 * [taylor]: Taking taylor expansion of (exp (/ -1 re)) in re 1.426 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.426 * [taylor]: Taking taylor expansion of -1 in re 1.426 * [taylor]: Taking taylor expansion of re in re 1.426 * [taylor]: Taking taylor expansion of (cos (/ -1 im)) in re 1.426 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.426 * [taylor]: Taking taylor expansion of -1 in re 1.426 * [taylor]: Taking taylor expansion of im in re 1.427 * [taylor]: Taking taylor expansion of (exp (* (exp (/ -1 re)) (cos (/ -1 im)))) in re 1.427 * [taylor]: Taking taylor expansion of (* (exp (/ -1 re)) (cos (/ -1 im))) in re 1.427 * [taylor]: Taking taylor expansion of (exp (/ -1 re)) in re 1.427 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.427 * [taylor]: Taking taylor expansion of -1 in re 1.427 * [taylor]: Taking taylor expansion of re in re 1.427 * [taylor]: Taking taylor expansion of (cos (/ -1 im)) in re 1.427 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.427 * [taylor]: Taking taylor expansion of -1 in re 1.427 * [taylor]: Taking taylor expansion of im in re 1.428 * [taylor]: Taking taylor expansion of (exp (* (exp (/ -1 re)) (cos (/ -1 im)))) in im 1.428 * [taylor]: Taking taylor expansion of (* (exp (/ -1 re)) (cos (/ -1 im))) in im 1.428 * [taylor]: Taking taylor expansion of (exp (/ -1 re)) in im 1.428 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.428 * [taylor]: Taking taylor expansion of -1 in im 1.428 * [taylor]: Taking taylor expansion of re in im 1.428 * [taylor]: Taking taylor expansion of (cos (/ -1 im)) in im 1.428 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.428 * [taylor]: Taking taylor expansion of -1 in im 1.428 * [taylor]: Taking taylor expansion of im in im 1.430 * [taylor]: Taking taylor expansion of 0 in im 1.435 * [taylor]: Taking taylor expansion of 0 in im 1.441 * [taylor]: Taking taylor expansion of 0 in im 1.441 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1) 1.441 * [approximate]: Taking taylor expansion of (* (cos im) (exp re)) in (re im) around 0 1.441 * [taylor]: Taking taylor expansion of (* (cos im) (exp re)) in im 1.441 * [taylor]: Taking taylor expansion of (cos im) in im 1.441 * [taylor]: Taking taylor expansion of im in im 1.441 * [taylor]: Taking taylor expansion of (exp re) in im 1.441 * [taylor]: Taking taylor expansion of re in im 1.441 * [taylor]: Taking taylor expansion of (* (cos im) (exp re)) in re 1.441 * [taylor]: Taking taylor expansion of (cos im) in re 1.441 * [taylor]: Taking taylor expansion of im in re 1.441 * [taylor]: Taking taylor expansion of (exp re) in re 1.441 * [taylor]: Taking taylor expansion of re in re 1.441 * [taylor]: Taking taylor expansion of (* (cos im) (exp re)) in re 1.441 * [taylor]: Taking taylor expansion of (cos im) in re 1.441 * [taylor]: Taking taylor expansion of im in re 1.441 * [taylor]: Taking taylor expansion of (exp re) in re 1.441 * [taylor]: Taking taylor expansion of re in re 1.442 * [taylor]: Taking taylor expansion of (cos im) in im 1.442 * [taylor]: Taking taylor expansion of im in im 1.444 * [taylor]: Taking taylor expansion of (cos im) in im 1.444 * [taylor]: Taking taylor expansion of im in im 1.448 * [taylor]: Taking taylor expansion of (* 1/2 (cos im)) in im 1.448 * [taylor]: Taking taylor expansion of 1/2 in im 1.448 * [taylor]: Taking taylor expansion of (cos im) in im 1.448 * [taylor]: Taking taylor expansion of im in im 1.448 * [approximate]: Taking taylor expansion of (* (exp (/ 1 re)) (cos (/ 1 im))) in (re im) around 0 1.448 * [taylor]: Taking taylor expansion of (* (exp (/ 1 re)) (cos (/ 1 im))) in im 1.448 * [taylor]: Taking taylor expansion of (exp (/ 1 re)) in im 1.448 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.448 * [taylor]: Taking taylor expansion of re in im 1.448 * [taylor]: Taking taylor expansion of (cos (/ 1 im)) in im 1.448 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.448 * [taylor]: Taking taylor expansion of im in im 1.449 * [taylor]: Taking taylor expansion of (* (exp (/ 1 re)) (cos (/ 1 im))) in re 1.449 * [taylor]: Taking taylor expansion of (exp (/ 1 re)) in re 1.449 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.449 * [taylor]: Taking taylor expansion of re in re 1.449 * [taylor]: Taking taylor expansion of (cos (/ 1 im)) in re 1.449 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.449 * [taylor]: Taking taylor expansion of im in re 1.449 * [taylor]: Taking taylor expansion of (* (exp (/ 1 re)) (cos (/ 1 im))) in re 1.449 * [taylor]: Taking taylor expansion of (exp (/ 1 re)) in re 1.449 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.449 * [taylor]: Taking taylor expansion of re in re 1.449 * [taylor]: Taking taylor expansion of (cos (/ 1 im)) in re 1.449 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.449 * [taylor]: Taking taylor expansion of im in re 1.450 * [taylor]: Taking taylor expansion of (* (exp (/ 1 re)) (cos (/ 1 im))) in im 1.450 * [taylor]: Taking taylor expansion of (exp (/ 1 re)) in im 1.450 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.450 * [taylor]: Taking taylor expansion of re in im 1.450 * [taylor]: Taking taylor expansion of (cos (/ 1 im)) in im 1.450 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.450 * [taylor]: Taking taylor expansion of im in im 1.452 * [taylor]: Taking taylor expansion of 0 in im 1.455 * [taylor]: Taking taylor expansion of 0 in im 1.459 * [taylor]: Taking taylor expansion of 0 in im 1.459 * [approximate]: Taking taylor expansion of (* (exp (/ -1 re)) (cos (/ -1 im))) in (re im) around 0 1.460 * [taylor]: Taking taylor expansion of (* (exp (/ -1 re)) (cos (/ -1 im))) in im 1.460 * [taylor]: Taking taylor expansion of (exp (/ -1 re)) in im 1.460 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.460 * [taylor]: Taking taylor expansion of -1 in im 1.460 * [taylor]: Taking taylor expansion of re in im 1.460 * [taylor]: Taking taylor expansion of (cos (/ -1 im)) in im 1.460 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.460 * [taylor]: Taking taylor expansion of -1 in im 1.460 * [taylor]: Taking taylor expansion of im in im 1.460 * [taylor]: Taking taylor expansion of (* (exp (/ -1 re)) (cos (/ -1 im))) in re 1.460 * [taylor]: Taking taylor expansion of (exp (/ -1 re)) in re 1.460 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.460 * [taylor]: Taking taylor expansion of -1 in re 1.460 * [taylor]: Taking taylor expansion of re in re 1.460 * [taylor]: Taking taylor expansion of (cos (/ -1 im)) in re 1.460 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.460 * [taylor]: Taking taylor expansion of -1 in re 1.460 * [taylor]: Taking taylor expansion of im in re 1.461 * [taylor]: Taking taylor expansion of (* (exp (/ -1 re)) (cos (/ -1 im))) in re 1.461 * [taylor]: Taking taylor expansion of (exp (/ -1 re)) in re 1.461 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.461 * [taylor]: Taking taylor expansion of -1 in re 1.461 * [taylor]: Taking taylor expansion of re in re 1.461 * [taylor]: Taking taylor expansion of (cos (/ -1 im)) in re 1.461 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.461 * [taylor]: Taking taylor expansion of -1 in re 1.461 * [taylor]: Taking taylor expansion of im in re 1.461 * [taylor]: Taking taylor expansion of (* (exp (/ -1 re)) (cos (/ -1 im))) in im 1.461 * [taylor]: Taking taylor expansion of (exp (/ -1 re)) in im 1.461 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.462 * [taylor]: Taking taylor expansion of -1 in im 1.462 * [taylor]: Taking taylor expansion of re in im 1.462 * [taylor]: Taking taylor expansion of (cos (/ -1 im)) in im 1.462 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.462 * [taylor]: Taking taylor expansion of -1 in im 1.462 * [taylor]: Taking taylor expansion of im in im 1.464 * [taylor]: Taking taylor expansion of 0 in im 1.467 * [taylor]: Taking taylor expansion of 0 in im 1.471 * [taylor]: Taking taylor expansion of 0 in im 1.471 * * * [progress]: simplifying candidates 1.472 * [simplify]: Simplifying using # : (expm1 (log (exp (* (exp re) (cos im))))) (log1p (log (exp (* (exp re) (cos im))))) (log (* (cbrt (exp (* (exp re) (cos im)))) (cbrt (exp (* (exp re) (cos im)))))) (log (cbrt (exp (* (exp re) (cos im))))) (log (sqrt (exp (* (exp re) (cos im))))) (log (sqrt (exp (* (exp re) (cos im))))) (log 1) (log (exp (* (exp re) (cos im)))) (log (exp (exp re))) (log (exp (* (exp re) (cos im)))) (log (exp (exp re))) (log (log (exp (* (exp re) (cos im))))) (exp (log (exp (* (exp re) (cos im))))) (* (cbrt (log (exp (* (exp re) (cos im))))) (cbrt (log (exp (* (exp re) (cos im)))))) (cbrt (log (exp (* (exp re) (cos im))))) (* (* (log (exp (* (exp re) (cos im)))) (log (exp (* (exp re) (cos im))))) (log (exp (* (exp re) (cos im))))) (sqrt (log (exp (* (exp re) (cos im))))) (sqrt (log (exp (* (exp re) (cos im))))) (expm1 (exp (* (exp re) (cos im)))) (log1p (exp (* (exp re) (cos im)))) (exp (exp re)) (log (exp (* (exp re) (cos im)))) (exp (exp (* (exp re) (cos im)))) (* (cbrt (exp (* (exp re) (cos im)))) (cbrt (exp (* (exp re) (cos im))))) (cbrt (exp (* (exp re) (cos im)))) (* (* (exp (* (exp re) (cos im))) (exp (* (exp re) (cos im)))) (exp (* (exp re) (cos im)))) (sqrt (exp (* (exp re) (cos im)))) (sqrt (exp (* (exp re) (cos im)))) (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)) (+ E (+ (* (pow re 2) E) (* re E))) (exp (* (cos im) (exp re))) (exp (* (cos im) (exp re))) (+ 1 (+ (* 1/2 (pow re 2)) re)) (* (cos im) (exp re)) (* (cos im) (exp re)) 1.472 * [simplify]: Sending expressions to egg_math: (expm1 (log (exp (* (exp h0) (cos h1))))) (log1p (log (exp (* (exp h0) (cos h1))))) (log (* (cbrt (exp (* (exp h0) (cos h1)))) (cbrt (exp (* (exp h0) (cos h1)))))) (log (cbrt (exp (* (exp h0) (cos h1))))) (log (sqrt (exp (* (exp h0) (cos h1))))) (log (sqrt (exp (* (exp h0) (cos h1))))) (log 1) (log (exp (* (exp h0) (cos h1)))) (log (exp (exp h0))) (log (exp (* (exp h0) (cos h1)))) (log (exp (exp h0))) (log (log (exp (* (exp h0) (cos h1))))) (exp (log (exp (* (exp h0) (cos h1))))) (* (cbrt (log (exp (* (exp h0) (cos h1))))) (cbrt (log (exp (* (exp h0) (cos h1)))))) (cbrt (log (exp (* (exp h0) (cos h1))))) (* (* (log (exp (* (exp h0) (cos h1)))) (log (exp (* (exp h0) (cos h1))))) (log (exp (* (exp h0) (cos h1))))) (sqrt (log (exp (* (exp h0) (cos h1))))) (sqrt (log (exp (* (exp h0) (cos h1))))) (expm1 (exp (* (exp h0) (cos h1)))) (log1p (exp (* (exp h0) (cos h1)))) (exp (exp h0)) (log (exp (* (exp h0) (cos h1)))) (exp (exp (* (exp h0) (cos h1)))) (* (cbrt (exp (* (exp h0) (cos h1)))) (cbrt (exp (* (exp h0) (cos h1))))) (cbrt (exp (* (exp h0) (cos h1)))) (* (* (exp (* (exp h0) (cos h1))) (exp (* (exp h0) (cos h1)))) (exp (* (exp h0) (cos h1)))) (sqrt (exp (* (exp h0) (cos h1)))) (sqrt (exp (* (exp h0) (cos h1)))) (expm1 (* (exp h0) (cos h1))) (log1p (* (exp h0) (cos h1))) (* (exp h0) (cos h1)) (+ h0 (log (cos h1))) (log (* (exp h0) (cos h1))) (exp (* (exp h0) (cos h1))) (* (* (* (exp h0) (exp h0)) (exp h0)) (* (* (cos h1) (cos h1)) (cos h1))) (* (cbrt (* (exp h0) (cos h1))) (cbrt (* (exp h0) (cos h1)))) (cbrt (* (exp h0) (cos h1))) (* (* (* (exp h0) (cos h1)) (* (exp h0) (cos h1))) (* (exp h0) (cos h1))) (sqrt (* (exp h0) (cos h1))) (sqrt (* (exp h0) (cos h1))) (* (sqrt (exp h0)) (sqrt (cos h1))) (* (sqrt (exp h0)) (sqrt (cos h1))) (* (exp h0) (* (cbrt (cos h1)) (cbrt (cos h1)))) (* (exp h0) (sqrt (cos h1))) (* (exp h0) 1) (* (cbrt (exp h0)) (cos h1)) (* (sqrt (exp h0)) (cos h1)) (* (exp h0) (cos h1)) (+ 1 (+ (* 1/2 (pow h0 2)) h0)) (* (cos h1) (exp h0)) (* (cos h1) (exp h0)) (+ E (+ (* (pow h0 2) E) (* h0 E))) (exp (* (cos h1) (exp h0))) (exp (* (cos h1) (exp h0))) (+ 1 (+ (* 1/2 (pow h0 2)) h0)) (* (cos h1) (exp h0)) (* (cos h1) (exp h0)) 1.475 * * [simplify]: iteration 0 : 128 enodes (cost 271 ) 1.478 * * [simplify]: iteration 1 : 363 enodes (cost 236 ) 1.484 * * [simplify]: iteration 2 : 1378 enodes (cost 235 ) 1.507 * * [simplify]: iteration 3 : 5001 enodes (cost 235 ) 1.508 * [simplify]: Simplified to: (expm1 (* (exp re) (cos im))) (log1p (* (exp re) (cos im))) (* 2 (log (cbrt (exp (* (exp re) (cos im)))))) (log (cbrt (exp (* (exp re) (cos im))))) (log (sqrt (exp (* (exp re) (cos im))))) (log (sqrt (exp (* (exp re) (cos im))))) 0 (* (exp re) (cos im)) (exp re) (* (exp re) (cos im)) (exp re) (+ (log (cos im)) re) (exp (* (exp re) (cos im))) (* (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))) (expm1 (exp (* (exp re) (cos im)))) (log1p (exp (* (exp re) (cos im)))) (exp (exp re)) (* (exp re) (cos im)) (exp (exp (* (exp re) (cos im)))) (* (cbrt (exp (* (exp re) (cos im)))) (cbrt (exp (* (exp re) (cos im))))) (cbrt (exp (* (exp re) (cos im)))) (pow (exp (* (exp re) (cos im))) 3) (sqrt (exp (* (exp re) (cos im)))) (sqrt (exp (* (exp re) (cos im)))) (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 1/2 (pow re 2) re) 1) (* (exp re) (cos im)) (* (exp re) (cos im)) (fma (fma re re re) E E) (exp (* (exp re) (cos im))) (exp (* (exp re) (cos im))) (+ (fma 1/2 (pow re 2) re) 1) (* (exp re) (cos im)) (* (exp re) (cos im)) 1.508 * * * [progress]: adding candidates to table 1.631 * [progress]: [Phase 3 of 3] Extracting. 1.631 * * [regime]: Finding splitpoints for: (# # #) 1.632 * * * [regime-changes]: Trying 5 branch expressions: ((cos im) (exp re) (* (exp re) (cos im)) im re) 1.632 * * * * [regimes]: Trying to branch on (cos im) from (# # #) 1.649 * * * * [regimes]: Trying to branch on (exp re) from (# # #) 1.664 * * * * [regimes]: Trying to branch on (* (exp re) (cos im)) from (# # #) 1.688 * * * * [regimes]: Trying to branch on im from (# # #) 1.703 * * * * [regimes]: Trying to branch on re from (# # #) 1.718 * * * [regime]: Found split indices: #