7.871 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.043 * * * [progress]: [2/2] Setting up program. 0.045 * [progress]: [Phase 2 of 3] Improving. 0.045 * [simplify]: Simplifying using # : (* (exp re) (sin im)) 0.047 * * [simplify]: iteration 0 : 6 enodes (cost 3 ) 0.049 * * [simplify]: iteration 1 : 6 enodes (cost 3 ) 0.049 * [simplify]: Simplified to: (* (exp re) (sin im)) 0.049 * * [progress]: iteration 1 / 4 0.049 * * * [progress]: picking best candidate 0.051 * * * * [pick]: Picked # 0.051 * * * [progress]: localizing error 0.056 * * * [progress]: generating rewritten candidates 0.056 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.063 * * * [progress]: generating series expansions 0.063 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.063 * [approximate]: Taking taylor expansion of (* (sin im) (exp re)) in (re im) around 0 0.063 * [taylor]: Taking taylor expansion of (* (sin im) (exp re)) in im 0.063 * [taylor]: Taking taylor expansion of (sin im) in im 0.063 * [taylor]: Taking taylor expansion of im in im 0.063 * [taylor]: Taking taylor expansion of (exp re) in im 0.063 * [taylor]: Taking taylor expansion of re in im 0.063 * [taylor]: Taking taylor expansion of (* (sin im) (exp re)) in re 0.063 * [taylor]: Taking taylor expansion of (sin im) in re 0.063 * [taylor]: Taking taylor expansion of im in re 0.063 * [taylor]: Taking taylor expansion of (exp re) in re 0.063 * [taylor]: Taking taylor expansion of re in re 0.063 * [taylor]: Taking taylor expansion of (* (sin im) (exp re)) in re 0.063 * [taylor]: Taking taylor expansion of (sin im) in re 0.063 * [taylor]: Taking taylor expansion of im in re 0.063 * [taylor]: Taking taylor expansion of (exp re) in re 0.063 * [taylor]: Taking taylor expansion of re in re 0.068 * [taylor]: Taking taylor expansion of (sin im) in im 0.068 * [taylor]: Taking taylor expansion of im in im 0.071 * [taylor]: Taking taylor expansion of (sin im) in im 0.071 * [taylor]: Taking taylor expansion of im in im 0.074 * [taylor]: Taking taylor expansion of (* 1/2 (sin im)) in im 0.074 * [taylor]: Taking taylor expansion of 1/2 in im 0.074 * [taylor]: Taking taylor expansion of (sin im) in im 0.074 * [taylor]: Taking taylor expansion of im in im 0.080 * [taylor]: Taking taylor expansion of (* 1/6 (sin im)) in im 0.080 * [taylor]: Taking taylor expansion of 1/6 in im 0.080 * [taylor]: Taking taylor expansion of (sin im) in im 0.080 * [taylor]: Taking taylor expansion of im in im 0.081 * [approximate]: Taking taylor expansion of (* (exp (/ 1 re)) (sin (/ 1 im))) in (re im) around 0 0.081 * [taylor]: Taking taylor expansion of (* (exp (/ 1 re)) (sin (/ 1 im))) in im 0.081 * [taylor]: Taking taylor expansion of (exp (/ 1 re)) in im 0.081 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.081 * [taylor]: Taking taylor expansion of re in im 0.082 * [taylor]: Taking taylor expansion of (sin (/ 1 im)) in im 0.082 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.082 * [taylor]: Taking taylor expansion of im in im 0.082 * [taylor]: Taking taylor expansion of (* (exp (/ 1 re)) (sin (/ 1 im))) in re 0.082 * [taylor]: Taking taylor expansion of (exp (/ 1 re)) in re 0.082 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.082 * [taylor]: Taking taylor expansion of re in re 0.082 * [taylor]: Taking taylor expansion of (sin (/ 1 im)) in re 0.082 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.082 * [taylor]: Taking taylor expansion of im in re 0.082 * [taylor]: Taking taylor expansion of (* (exp (/ 1 re)) (sin (/ 1 im))) in re 0.082 * [taylor]: Taking taylor expansion of (exp (/ 1 re)) in re 0.082 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.083 * [taylor]: Taking taylor expansion of re in re 0.083 * [taylor]: Taking taylor expansion of (sin (/ 1 im)) in re 0.083 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.083 * [taylor]: Taking taylor expansion of im in re 0.083 * [taylor]: Taking taylor expansion of (* (exp (/ 1 re)) (sin (/ 1 im))) in im 0.083 * [taylor]: Taking taylor expansion of (exp (/ 1 re)) in im 0.083 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.083 * [taylor]: Taking taylor expansion of re in im 0.083 * [taylor]: Taking taylor expansion of (sin (/ 1 im)) in im 0.083 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.083 * [taylor]: Taking taylor expansion of im in im 0.085 * [taylor]: Taking taylor expansion of 0 in im 0.088 * [taylor]: Taking taylor expansion of 0 in im 0.092 * [taylor]: Taking taylor expansion of 0 in im 0.093 * [approximate]: Taking taylor expansion of (* (sin (/ -1 im)) (exp (/ -1 re))) in (re im) around 0 0.093 * [taylor]: Taking taylor expansion of (* (sin (/ -1 im)) (exp (/ -1 re))) in im 0.093 * [taylor]: Taking taylor expansion of (sin (/ -1 im)) in im 0.093 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.093 * [taylor]: Taking taylor expansion of -1 in im 0.093 * [taylor]: Taking taylor expansion of im in im 0.093 * [taylor]: Taking taylor expansion of (exp (/ -1 re)) in im 0.093 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.093 * [taylor]: Taking taylor expansion of -1 in im 0.093 * [taylor]: Taking taylor expansion of re in im 0.093 * [taylor]: Taking taylor expansion of (* (sin (/ -1 im)) (exp (/ -1 re))) in re 0.093 * [taylor]: Taking taylor expansion of (sin (/ -1 im)) in re 0.093 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.093 * [taylor]: Taking taylor expansion of -1 in re 0.093 * [taylor]: Taking taylor expansion of im in re 0.093 * [taylor]: Taking taylor expansion of (exp (/ -1 re)) in re 0.093 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.093 * [taylor]: Taking taylor expansion of -1 in re 0.094 * [taylor]: Taking taylor expansion of re in re 0.094 * [taylor]: Taking taylor expansion of (* (sin (/ -1 im)) (exp (/ -1 re))) in re 0.094 * [taylor]: Taking taylor expansion of (sin (/ -1 im)) in re 0.094 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.094 * [taylor]: Taking taylor expansion of -1 in re 0.094 * [taylor]: Taking taylor expansion of im in re 0.094 * [taylor]: Taking taylor expansion of (exp (/ -1 re)) in re 0.094 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.094 * [taylor]: Taking taylor expansion of -1 in re 0.094 * [taylor]: Taking taylor expansion of re in re 0.095 * [taylor]: Taking taylor expansion of (* (sin (/ -1 im)) (exp (/ -1 re))) in im 0.095 * [taylor]: Taking taylor expansion of (sin (/ -1 im)) in im 0.095 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.095 * [taylor]: Taking taylor expansion of -1 in im 0.095 * [taylor]: Taking taylor expansion of im in im 0.095 * [taylor]: Taking taylor expansion of (exp (/ -1 re)) in im 0.095 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.095 * [taylor]: Taking taylor expansion of -1 in im 0.095 * [taylor]: Taking taylor expansion of re in im 0.097 * [taylor]: Taking taylor expansion of 0 in im 0.100 * [taylor]: Taking taylor expansion of 0 in im 0.104 * [taylor]: Taking taylor expansion of 0 in im 0.104 * * * [progress]: simplifying candidates 0.105 * [simplify]: Simplifying using # : (expm1 (* (exp re) (sin im))) (log1p (* (exp re) (sin im))) (* (exp re) (sin im)) (+ re (log (sin im))) (log (* (exp re) (sin im))) (exp (* (exp re) (sin im))) (* (* (* (exp re) (exp re)) (exp re)) (* (* (sin im) (sin im)) (sin im))) (* (cbrt (* (exp re) (sin im))) (cbrt (* (exp re) (sin im)))) (cbrt (* (exp re) (sin im))) (* (* (* (exp re) (sin im)) (* (exp re) (sin im))) (* (exp re) (sin im))) (sqrt (* (exp re) (sin im))) (sqrt (* (exp re) (sin im))) (* (sqrt (exp re)) (sqrt (sin im))) (* (sqrt (exp re)) (sqrt (sin im))) (* (exp re) (* (cbrt (sin im)) (cbrt (sin im)))) (* (exp re) (sqrt (sin im))) (* (exp re) 1) (* (cbrt (exp re)) (sin im)) (* (sqrt (exp re)) (sin im)) (* (exp re) (sin im)) (+ (* 1/2 (* (pow re 2) im)) (+ (* re im) im)) (* (sin im) (exp re)) (* (sin im) (exp re)) 0.107 * * [simplify]: iteration 0 : 91 enodes (cost 106 ) 0.110 * * [simplify]: iteration 1 : 300 enodes (cost 93 ) 0.116 * * [simplify]: iteration 2 : 1154 enodes (cost 93 ) 0.137 * * [simplify]: iteration 3 : 4869 enodes (cost 92 ) 0.274 * * [simplify]: iteration 4 : 5001 enodes (cost 92 ) 0.276 * [simplify]: Simplified to: (expm1 (* (exp re) (sin im))) (log1p (* (exp re) (sin im))) (* (exp re) (sin im)) (+ (log (sin im)) re) (+ (log (sin im)) re) (exp (* (exp re) (sin im))) (pow (* (exp re) (sin im)) 3) (* (cbrt (* (exp re) (sin im))) (cbrt (* (exp re) (sin im)))) (cbrt (* (exp re) (sin im))) (pow (* (exp re) (sin im)) 3) (sqrt (* (exp re) (sin im))) (sqrt (* (exp re) (sin im))) (* (sqrt (exp re)) (sqrt (sin im))) (* (sqrt (exp re)) (sqrt (sin im))) (* (exp re) (* (cbrt (sin im)) (cbrt (sin im)))) (* (exp re) (sqrt (sin im))) (exp re) (* (cbrt (exp re)) (sin im)) (* (sqrt (exp re)) (sin im)) (* (exp re) (sin im)) (fma (fma (* 1/2 re) re re) im im) (* (exp re) (sin im)) (* (exp re) (sin im)) 0.276 * * * [progress]: adding candidates to table 0.320 * * [progress]: iteration 2 / 4 0.320 * * * [progress]: picking best candidate 0.326 * * * * [pick]: Picked # 0.326 * * * [progress]: localizing error 0.334 * * * [progress]: generating rewritten candidates 0.334 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.342 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.365 * * * [progress]: generating series expansions 0.365 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.365 * [approximate]: Taking taylor expansion of (* (sin im) (sqrt (exp re))) in (re im) around 0 0.365 * [taylor]: Taking taylor expansion of (* (sin im) (sqrt (exp re))) in im 0.365 * [taylor]: Taking taylor expansion of (sin im) in im 0.365 * [taylor]: Taking taylor expansion of im in im 0.365 * [taylor]: Taking taylor expansion of (sqrt (exp re)) in im 0.365 * [taylor]: Taking taylor expansion of (exp re) in im 0.365 * [taylor]: Taking taylor expansion of re in im 0.366 * [taylor]: Taking taylor expansion of (* (sin im) (sqrt (exp re))) in re 0.366 * [taylor]: Taking taylor expansion of (sin im) in re 0.366 * [taylor]: Taking taylor expansion of im in re 0.366 * [taylor]: Taking taylor expansion of (sqrt (exp re)) in re 0.366 * [taylor]: Taking taylor expansion of (exp re) in re 0.366 * [taylor]: Taking taylor expansion of re in re 0.367 * [taylor]: Taking taylor expansion of (* (sin im) (sqrt (exp re))) in re 0.367 * [taylor]: Taking taylor expansion of (sin im) in re 0.367 * [taylor]: Taking taylor expansion of im in re 0.367 * [taylor]: Taking taylor expansion of (sqrt (exp re)) in re 0.367 * [taylor]: Taking taylor expansion of (exp re) in re 0.367 * [taylor]: Taking taylor expansion of re in re 0.369 * [taylor]: Taking taylor expansion of (sin im) in im 0.369 * [taylor]: Taking taylor expansion of im in im 0.371 * [taylor]: Taking taylor expansion of (* 1/2 (sin im)) in im 0.371 * [taylor]: Taking taylor expansion of 1/2 in im 0.371 * [taylor]: Taking taylor expansion of (sin im) in im 0.371 * [taylor]: Taking taylor expansion of im in im 0.375 * [taylor]: Taking taylor expansion of (* 1/8 (sin im)) in im 0.375 * [taylor]: Taking taylor expansion of 1/8 in im 0.375 * [taylor]: Taking taylor expansion of (sin im) in im 0.375 * [taylor]: Taking taylor expansion of im in im 0.384 * [taylor]: Taking taylor expansion of (* 1/48 (sin im)) in im 0.384 * [taylor]: Taking taylor expansion of 1/48 in im 0.384 * [taylor]: Taking taylor expansion of (sin im) in im 0.384 * [taylor]: Taking taylor expansion of im in im 0.386 * [approximate]: Taking taylor expansion of (* (sqrt (exp (/ 1 re))) (sin (/ 1 im))) in (re im) around 0 0.386 * [taylor]: Taking taylor expansion of (* (sqrt (exp (/ 1 re))) (sin (/ 1 im))) in im 0.386 * [taylor]: Taking taylor expansion of (sqrt (exp (/ 1 re))) in im 0.386 * [taylor]: Taking taylor expansion of (exp (/ 1 re)) in im 0.386 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.386 * [taylor]: Taking taylor expansion of re in im 0.387 * [taylor]: Taking taylor expansion of (sin (/ 1 im)) in im 0.387 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.387 * [taylor]: Taking taylor expansion of im in im 0.387 * [taylor]: Taking taylor expansion of (* (sqrt (exp (/ 1 re))) (sin (/ 1 im))) in re 0.387 * [taylor]: Taking taylor expansion of (sqrt (exp (/ 1 re))) in re 0.387 * [taylor]: Taking taylor expansion of (exp (/ 1 re)) in re 0.387 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.387 * [taylor]: Taking taylor expansion of re in re 0.387 * [taylor]: Taking taylor expansion of (sin (/ 1 im)) in re 0.387 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.387 * [taylor]: Taking taylor expansion of im in re 0.387 * [taylor]: Taking taylor expansion of (* (sqrt (exp (/ 1 re))) (sin (/ 1 im))) in re 0.387 * [taylor]: Taking taylor expansion of (sqrt (exp (/ 1 re))) in re 0.388 * [taylor]: Taking taylor expansion of (exp (/ 1 re)) in re 0.388 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.388 * [taylor]: Taking taylor expansion of re in re 0.388 * [taylor]: Taking taylor expansion of (sin (/ 1 im)) in re 0.388 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.388 * [taylor]: Taking taylor expansion of im in re 0.388 * [taylor]: Taking taylor expansion of (* (sqrt (exp (/ 1 re))) (sin (/ 1 im))) in im 0.388 * [taylor]: Taking taylor expansion of (sqrt (exp (/ 1 re))) in im 0.388 * [taylor]: Taking taylor expansion of (exp (/ 1 re)) in im 0.388 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.388 * [taylor]: Taking taylor expansion of re in im 0.389 * [taylor]: Taking taylor expansion of (sin (/ 1 im)) in im 0.389 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.389 * [taylor]: Taking taylor expansion of im in im 0.391 * [taylor]: Taking taylor expansion of 0 in im 0.394 * [taylor]: Taking taylor expansion of 0 in im 0.399 * [taylor]: Taking taylor expansion of 0 in im 0.399 * [approximate]: Taking taylor expansion of (* (sin (/ -1 im)) (sqrt (exp (/ -1 re)))) in (re im) around 0 0.399 * [taylor]: Taking taylor expansion of (* (sin (/ -1 im)) (sqrt (exp (/ -1 re)))) in im 0.399 * [taylor]: Taking taylor expansion of (sin (/ -1 im)) in im 0.399 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.399 * [taylor]: Taking taylor expansion of -1 in im 0.399 * [taylor]: Taking taylor expansion of im in im 0.400 * [taylor]: Taking taylor expansion of (sqrt (exp (/ -1 re))) in im 0.400 * [taylor]: Taking taylor expansion of (exp (/ -1 re)) in im 0.400 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.400 * [taylor]: Taking taylor expansion of -1 in im 0.400 * [taylor]: Taking taylor expansion of re in im 0.400 * [taylor]: Taking taylor expansion of (* (sin (/ -1 im)) (sqrt (exp (/ -1 re)))) in re 0.400 * [taylor]: Taking taylor expansion of (sin (/ -1 im)) in re 0.401 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.401 * [taylor]: Taking taylor expansion of -1 in re 0.401 * [taylor]: Taking taylor expansion of im in re 0.401 * [taylor]: Taking taylor expansion of (sqrt (exp (/ -1 re))) in re 0.401 * [taylor]: Taking taylor expansion of (exp (/ -1 re)) in re 0.401 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.401 * [taylor]: Taking taylor expansion of -1 in re 0.401 * [taylor]: Taking taylor expansion of re in re 0.401 * [taylor]: Taking taylor expansion of (* (sin (/ -1 im)) (sqrt (exp (/ -1 re)))) in re 0.401 * [taylor]: Taking taylor expansion of (sin (/ -1 im)) in re 0.401 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.401 * [taylor]: Taking taylor expansion of -1 in re 0.401 * [taylor]: Taking taylor expansion of im in re 0.401 * [taylor]: Taking taylor expansion of (sqrt (exp (/ -1 re))) in re 0.401 * [taylor]: Taking taylor expansion of (exp (/ -1 re)) in re 0.401 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.401 * [taylor]: Taking taylor expansion of -1 in re 0.401 * [taylor]: Taking taylor expansion of re in re 0.402 * [taylor]: Taking taylor expansion of (* (sin (/ -1 im)) (sqrt (exp (/ -1 re)))) in im 0.402 * [taylor]: Taking taylor expansion of (sin (/ -1 im)) in im 0.402 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.402 * [taylor]: Taking taylor expansion of -1 in im 0.402 * [taylor]: Taking taylor expansion of im in im 0.402 * [taylor]: Taking taylor expansion of (sqrt (exp (/ -1 re))) in im 0.402 * [taylor]: Taking taylor expansion of (exp (/ -1 re)) in im 0.402 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.402 * [taylor]: Taking taylor expansion of -1 in im 0.402 * [taylor]: Taking taylor expansion of re in im 0.405 * [taylor]: Taking taylor expansion of 0 in im 0.408 * [taylor]: Taking taylor expansion of 0 in im 0.413 * [taylor]: Taking taylor expansion of 0 in im 0.413 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.413 * [approximate]: Taking taylor expansion of (* (sin im) (exp re)) in (re im) around 0 0.413 * [taylor]: Taking taylor expansion of (* (sin im) (exp re)) in im 0.413 * [taylor]: Taking taylor expansion of (sin im) in im 0.413 * [taylor]: Taking taylor expansion of im in im 0.413 * [taylor]: Taking taylor expansion of (exp re) in im 0.413 * [taylor]: Taking taylor expansion of re in im 0.413 * [taylor]: Taking taylor expansion of (* (sin im) (exp re)) in re 0.414 * [taylor]: Taking taylor expansion of (sin im) in re 0.414 * [taylor]: Taking taylor expansion of im in re 0.414 * [taylor]: Taking taylor expansion of (exp re) in re 0.414 * [taylor]: Taking taylor expansion of re in re 0.414 * [taylor]: Taking taylor expansion of (* (sin im) (exp re)) in re 0.414 * [taylor]: Taking taylor expansion of (sin im) in re 0.414 * [taylor]: Taking taylor expansion of im in re 0.414 * [taylor]: Taking taylor expansion of (exp re) in re 0.414 * [taylor]: Taking taylor expansion of re in re 0.414 * [taylor]: Taking taylor expansion of (sin im) in im 0.414 * [taylor]: Taking taylor expansion of im in im 0.416 * [taylor]: Taking taylor expansion of (sin im) in im 0.416 * [taylor]: Taking taylor expansion of im in im 0.420 * [taylor]: Taking taylor expansion of (* 1/2 (sin im)) in im 0.420 * [taylor]: Taking taylor expansion of 1/2 in im 0.420 * [taylor]: Taking taylor expansion of (sin im) in im 0.420 * [taylor]: Taking taylor expansion of im in im 0.425 * [taylor]: Taking taylor expansion of (* 1/6 (sin im)) in im 0.425 * [taylor]: Taking taylor expansion of 1/6 in im 0.425 * [taylor]: Taking taylor expansion of (sin im) in im 0.425 * [taylor]: Taking taylor expansion of im in im 0.427 * [approximate]: Taking taylor expansion of (* (exp (/ 1 re)) (sin (/ 1 im))) in (re im) around 0 0.427 * [taylor]: Taking taylor expansion of (* (exp (/ 1 re)) (sin (/ 1 im))) in im 0.427 * [taylor]: Taking taylor expansion of (exp (/ 1 re)) in im 0.427 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.427 * [taylor]: Taking taylor expansion of re in im 0.427 * [taylor]: Taking taylor expansion of (sin (/ 1 im)) in im 0.427 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.427 * [taylor]: Taking taylor expansion of im in im 0.428 * [taylor]: Taking taylor expansion of (* (exp (/ 1 re)) (sin (/ 1 im))) in re 0.428 * [taylor]: Taking taylor expansion of (exp (/ 1 re)) in re 0.428 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.428 * [taylor]: Taking taylor expansion of re in re 0.428 * [taylor]: Taking taylor expansion of (sin (/ 1 im)) in re 0.428 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.428 * [taylor]: Taking taylor expansion of im in re 0.428 * [taylor]: Taking taylor expansion of (* (exp (/ 1 re)) (sin (/ 1 im))) in re 0.428 * [taylor]: Taking taylor expansion of (exp (/ 1 re)) in re 0.428 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.428 * [taylor]: Taking taylor expansion of re in re 0.428 * [taylor]: Taking taylor expansion of (sin (/ 1 im)) in re 0.429 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.429 * [taylor]: Taking taylor expansion of im in re 0.429 * [taylor]: Taking taylor expansion of (* (exp (/ 1 re)) (sin (/ 1 im))) in im 0.429 * [taylor]: Taking taylor expansion of (exp (/ 1 re)) in im 0.429 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.429 * [taylor]: Taking taylor expansion of re in im 0.429 * [taylor]: Taking taylor expansion of (sin (/ 1 im)) in im 0.429 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.429 * [taylor]: Taking taylor expansion of im in im 0.431 * [taylor]: Taking taylor expansion of 0 in im 0.434 * [taylor]: Taking taylor expansion of 0 in im 0.438 * [taylor]: Taking taylor expansion of 0 in im 0.438 * [approximate]: Taking taylor expansion of (* (sin (/ -1 im)) (exp (/ -1 re))) in (re im) around 0 0.438 * [taylor]: Taking taylor expansion of (* (sin (/ -1 im)) (exp (/ -1 re))) in im 0.438 * [taylor]: Taking taylor expansion of (sin (/ -1 im)) in im 0.438 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.438 * [taylor]: Taking taylor expansion of -1 in im 0.438 * [taylor]: Taking taylor expansion of im in im 0.439 * [taylor]: Taking taylor expansion of (exp (/ -1 re)) in im 0.439 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.439 * [taylor]: Taking taylor expansion of -1 in im 0.439 * [taylor]: Taking taylor expansion of re in im 0.439 * [taylor]: Taking taylor expansion of (* (sin (/ -1 im)) (exp (/ -1 re))) in re 0.439 * [taylor]: Taking taylor expansion of (sin (/ -1 im)) in re 0.439 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.439 * [taylor]: Taking taylor expansion of -1 in re 0.439 * [taylor]: Taking taylor expansion of im in re 0.439 * [taylor]: Taking taylor expansion of (exp (/ -1 re)) in re 0.439 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.439 * [taylor]: Taking taylor expansion of -1 in re 0.439 * [taylor]: Taking taylor expansion of re in re 0.439 * [taylor]: Taking taylor expansion of (* (sin (/ -1 im)) (exp (/ -1 re))) in re 0.439 * [taylor]: Taking taylor expansion of (sin (/ -1 im)) in re 0.439 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.439 * [taylor]: Taking taylor expansion of -1 in re 0.439 * [taylor]: Taking taylor expansion of im in re 0.440 * [taylor]: Taking taylor expansion of (exp (/ -1 re)) in re 0.440 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.440 * [taylor]: Taking taylor expansion of -1 in re 0.440 * [taylor]: Taking taylor expansion of re in re 0.440 * [taylor]: Taking taylor expansion of (* (sin (/ -1 im)) (exp (/ -1 re))) in im 0.440 * [taylor]: Taking taylor expansion of (sin (/ -1 im)) in im 0.440 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.440 * [taylor]: Taking taylor expansion of -1 in im 0.440 * [taylor]: Taking taylor expansion of im 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 -1 in im 0.441 * [taylor]: Taking taylor expansion of re in im 0.442 * [taylor]: Taking taylor expansion of 0 in im 0.445 * [taylor]: Taking taylor expansion of 0 in im 0.450 * [taylor]: Taking taylor expansion of 0 in im 0.450 * * * [progress]: simplifying candidates 0.451 * [simplify]: Simplifying using # : (expm1 (* (sqrt (exp re)) (sin im))) (log1p (* (sqrt (exp re)) (sin im))) (* (sqrt (exp re)) (sin im)) (+ (log (sqrt (exp re))) (log (sin im))) (log (* (sqrt (exp re)) (sin im))) (exp (* (sqrt (exp re)) (sin im))) (* (* (* (sqrt (exp re)) (sqrt (exp re))) (sqrt (exp re))) (* (* (sin im) (sin im)) (sin im))) (* (cbrt (* (sqrt (exp re)) (sin im))) (cbrt (* (sqrt (exp re)) (sin im)))) (cbrt (* (sqrt (exp re)) (sin im))) (* (* (* (sqrt (exp re)) (sin im)) (* (sqrt (exp re)) (sin im))) (* (sqrt (exp re)) (sin im))) (sqrt (* (sqrt (exp re)) (sin im))) (sqrt (* (sqrt (exp re)) (sin im))) (* (sqrt (sqrt (exp re))) (sqrt (sin im))) (* (sqrt (sqrt (exp re))) (sqrt (sin im))) (* (sqrt (sqrt (exp re))) (sqrt (sin im))) (* (sqrt (sqrt (exp re))) (sqrt (sin im))) (* (sqrt (exp re)) (* (cbrt (sin im)) (cbrt (sin im)))) (* (sqrt (exp re)) (sqrt (sin im))) (* (sqrt (exp re)) 1) (* (cbrt (sqrt (exp re))) (sin im)) (* (sqrt (cbrt (exp re))) (sin im)) (* (sqrt (sqrt (exp re))) (sin im)) (* (sqrt (exp re)) (sin im)) (* (sqrt (sqrt (exp re))) (sin im)) (* (sqrt (exp re)) (sin im)) (expm1 (* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))) (log1p (* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))) (* (sqrt (exp re)) (* (sqrt (exp re)) (sin im))) (* (sqrt (exp re)) (* (sqrt (exp re)) (sin im))) (+ (log (sqrt (exp re))) (+ (log (sqrt (exp re))) (log (sin im)))) (+ (log (sqrt (exp re))) (log (* (sqrt (exp re)) (sin im)))) (log (* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))) (exp (* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))) (* (* (* (sqrt (exp re)) (sqrt (exp re))) (sqrt (exp re))) (* (* (* (sqrt (exp re)) (sqrt (exp re))) (sqrt (exp re))) (* (* (sin im) (sin im)) (sin im)))) (* (* (* (sqrt (exp re)) (sqrt (exp re))) (sqrt (exp re))) (* (* (* (sqrt (exp re)) (sin im)) (* (sqrt (exp re)) (sin im))) (* (sqrt (exp re)) (sin im)))) (* (cbrt (* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))) (cbrt (* (sqrt (exp re)) (* (sqrt (exp re)) (sin im))))) (cbrt (* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))) (* (* (* (sqrt (exp re)) (* (sqrt (exp re)) (sin im))) (* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))) (* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))) (sqrt (* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))) (sqrt (* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))) (* (sqrt (exp re)) (sqrt (exp re))) (* (cbrt (sqrt (exp re))) (* (sqrt (exp re)) (sin im))) (* (sqrt (cbrt (exp re))) (* (sqrt (exp re)) (sin im))) (* (sqrt (sqrt (exp re))) (* (sqrt (exp re)) (sin im))) (* (sqrt (exp re)) (* (sqrt (exp re)) (sin im))) (* (sqrt (sqrt (exp re))) (* (sqrt (exp re)) (sin im))) (* (sqrt (exp re)) (* (sqrt (exp re)) (sin im))) (+ (* 1/8 (* (pow re 2) im)) (+ (* 1/2 (* re im)) im)) (* (sin im) (sqrt (exp re))) (* (sin im) (sqrt (exp re))) (+ (* 1/2 (* (pow re 2) im)) (+ (* re im) im)) (* (sin im) (exp re)) (* (sin im) (exp re)) 0.454 * * [simplify]: iteration 0 : 162 enodes (cost 340 ) 0.458 * * [simplify]: iteration 1 : 623 enodes (cost 288 ) 0.470 * * [simplify]: iteration 2 : 2267 enodes (cost 288 ) 0.504 * * [simplify]: iteration 3 : 5001 enodes (cost 280 ) 0.506 * [simplify]: Simplified to: (expm1 (* (sqrt (exp re)) (sin im))) (log1p (* (sqrt (exp re)) (sin im))) (* (sqrt (exp re)) (sin im)) (log (* (sqrt (exp re)) (sin im))) (log (* (sqrt (exp re)) (sin im))) (exp (* (sqrt (exp re)) (sin im))) (pow (* (sqrt (exp re)) (sin im)) 3) (* (cbrt (* (sqrt (exp re)) (sin im))) (cbrt (* (sqrt (exp re)) (sin im)))) (cbrt (* (sqrt (exp re)) (sin im))) (pow (* (sqrt (exp re)) (sin im)) 3) (sqrt (* (sqrt (exp re)) (sin im))) (sqrt (* (sqrt (exp re)) (sin im))) (* (sqrt (sqrt (exp re))) (sqrt (sin im))) (* (sqrt (sqrt (exp re))) (sqrt (sin im))) (* (sqrt (sqrt (exp re))) (sqrt (sin im))) (* (sqrt (sqrt (exp re))) (sqrt (sin im))) (* (sqrt (exp re)) (* (cbrt (sin im)) (cbrt (sin im)))) (* (sqrt (exp re)) (sqrt (sin im))) (sqrt (exp re)) (* (cbrt (sqrt (exp re))) (sin im)) (* (sqrt (cbrt (exp re))) (sin im)) (* (sqrt (sqrt (exp re))) (sin im)) (* (sqrt (exp re)) (sin im)) (* (sqrt (sqrt (exp re))) (sin im)) (* (sqrt (exp re)) (sin im)) (expm1 (* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))) (log1p (* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))) (* (exp re) (sin im)) (* (exp re) (sin im)) (+ re (log (sin im))) (+ re (log (sin im))) (+ re (log (sin im))) (pow (exp (exp re)) (sin im)) (pow (* (exp re) (sin im)) 3) (pow (* (exp re) (sin im)) 3) (* (cbrt (* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))) (cbrt (* (sqrt (exp re)) (* (sqrt (exp re)) (sin im))))) (cbrt (* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))) (pow (* (exp re) (sin im)) 3) (sqrt (* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))) (sqrt (* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))) (exp re) (* (cbrt (sqrt (exp re))) (* (sqrt (exp re)) (sin im))) (* (sqrt (cbrt (exp re))) (* (sqrt (exp re)) (sin im))) (* (sqrt (sqrt (exp re))) (* (sqrt (exp re)) (sin im))) (* (exp re) (sin im)) (* (sqrt (sqrt (exp re))) (* (sqrt (exp re)) (sin im))) (* (exp re) (sin im)) (fma (fma (* 1/8 re) re (* 1/2 re)) im im) (* (sqrt (exp re)) (sin im)) (* (sqrt (exp re)) (sin im)) (fma (fma (* 1/2 re) re re) im im) (* (exp re) (sin im)) (* (exp re) (sin im)) 0.506 * * * [progress]: adding candidates to table 0.607 * * [progress]: iteration 3 / 4 0.607 * * * [progress]: picking best candidate 0.611 * * * * [pick]: Picked # 0.611 * * * [progress]: localizing error 0.622 * * * [progress]: generating rewritten candidates 0.622 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.623 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 0.629 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1) 0.637 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.653 * * * [progress]: generating series expansions 0.653 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.653 * [approximate]: Taking taylor expansion of (* (sin im) (sqrt (exp re))) in (re im) around 0 0.653 * [taylor]: Taking taylor expansion of (* (sin im) (sqrt (exp re))) in im 0.653 * [taylor]: Taking taylor expansion of (sin im) in im 0.653 * [taylor]: Taking taylor expansion of im in im 0.653 * [taylor]: Taking taylor expansion of (sqrt (exp re)) in im 0.653 * [taylor]: Taking taylor expansion of (exp re) in im 0.653 * [taylor]: Taking taylor expansion of re in im 0.654 * [taylor]: Taking taylor expansion of (* (sin im) (sqrt (exp re))) in re 0.654 * [taylor]: Taking taylor expansion of (sin im) in re 0.654 * [taylor]: Taking taylor expansion of im in re 0.654 * [taylor]: Taking taylor expansion of (sqrt (exp re)) in re 0.654 * [taylor]: Taking taylor expansion of (exp re) in re 0.654 * [taylor]: Taking taylor expansion of re in re 0.655 * [taylor]: Taking taylor expansion of (* (sin im) (sqrt (exp re))) in re 0.655 * [taylor]: Taking taylor expansion of (sin im) in re 0.655 * [taylor]: Taking taylor expansion of im in re 0.655 * [taylor]: Taking taylor expansion of (sqrt (exp re)) in re 0.655 * [taylor]: Taking taylor expansion of (exp re) in re 0.655 * [taylor]: Taking taylor expansion of re in re 0.657 * [taylor]: Taking taylor expansion of (sin im) in im 0.657 * [taylor]: Taking taylor expansion of im in im 0.658 * [taylor]: Taking taylor expansion of (* 1/2 (sin im)) in im 0.658 * [taylor]: Taking taylor expansion of 1/2 in im 0.658 * [taylor]: Taking taylor expansion of (sin im) in im 0.658 * [taylor]: Taking taylor expansion of im in im 0.663 * [taylor]: Taking taylor expansion of (* 1/8 (sin im)) in im 0.663 * [taylor]: Taking taylor expansion of 1/8 in im 0.663 * [taylor]: Taking taylor expansion of (sin im) in im 0.663 * [taylor]: Taking taylor expansion of im in im 0.669 * [taylor]: Taking taylor expansion of (* 1/48 (sin im)) in im 0.669 * [taylor]: Taking taylor expansion of 1/48 in im 0.669 * [taylor]: Taking taylor expansion of (sin im) in im 0.669 * [taylor]: Taking taylor expansion of im in im 0.670 * [approximate]: Taking taylor expansion of (* (sqrt (exp (/ 1 re))) (sin (/ 1 im))) in (re im) around 0 0.670 * [taylor]: Taking taylor expansion of (* (sqrt (exp (/ 1 re))) (sin (/ 1 im))) in im 0.671 * [taylor]: Taking taylor expansion of (sqrt (exp (/ 1 re))) in im 0.671 * [taylor]: Taking taylor expansion of (exp (/ 1 re)) in im 0.671 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.671 * [taylor]: Taking taylor expansion of re in im 0.671 * [taylor]: Taking taylor expansion of (sin (/ 1 im)) in im 0.671 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.671 * [taylor]: Taking taylor expansion of im in im 0.672 * [taylor]: Taking taylor expansion of (* (sqrt (exp (/ 1 re))) (sin (/ 1 im))) in re 0.672 * [taylor]: Taking taylor expansion of (sqrt (exp (/ 1 re))) in re 0.672 * [taylor]: Taking taylor expansion of (exp (/ 1 re)) in re 0.672 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.672 * [taylor]: Taking taylor expansion of re in re 0.672 * [taylor]: Taking taylor expansion of (sin (/ 1 im)) in re 0.672 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.672 * [taylor]: Taking taylor expansion of im in re 0.672 * [taylor]: Taking taylor expansion of (* (sqrt (exp (/ 1 re))) (sin (/ 1 im))) in re 0.672 * [taylor]: Taking taylor expansion of (sqrt (exp (/ 1 re))) in re 0.672 * [taylor]: Taking taylor expansion of (exp (/ 1 re)) in re 0.672 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.672 * [taylor]: Taking taylor expansion of re in re 0.673 * [taylor]: Taking taylor expansion of (sin (/ 1 im)) in re 0.673 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.673 * [taylor]: Taking taylor expansion of im in re 0.673 * [taylor]: Taking taylor expansion of (* (sqrt (exp (/ 1 re))) (sin (/ 1 im))) in im 0.673 * [taylor]: Taking taylor expansion of (sqrt (exp (/ 1 re))) in im 0.673 * [taylor]: Taking taylor expansion of (exp (/ 1 re)) in im 0.673 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.673 * [taylor]: Taking taylor expansion of re in im 0.674 * [taylor]: Taking taylor expansion of (sin (/ 1 im)) in im 0.674 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.674 * [taylor]: Taking taylor expansion of im in im 0.676 * [taylor]: Taking taylor expansion of 0 in im 0.679 * [taylor]: Taking taylor expansion of 0 in im 0.683 * [taylor]: Taking taylor expansion of 0 in im 0.687 * [approximate]: Taking taylor expansion of (* (sin (/ -1 im)) (sqrt (exp (/ -1 re)))) in (re im) around 0 0.687 * [taylor]: Taking taylor expansion of (* (sin (/ -1 im)) (sqrt (exp (/ -1 re)))) in im 0.687 * [taylor]: Taking taylor expansion of (sin (/ -1 im)) in im 0.687 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.687 * [taylor]: Taking taylor expansion of -1 in im 0.687 * [taylor]: Taking taylor expansion of im in im 0.687 * [taylor]: Taking taylor expansion of (sqrt (exp (/ -1 re))) in im 0.687 * [taylor]: Taking taylor expansion of (exp (/ -1 re)) in im 0.687 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.687 * [taylor]: Taking taylor expansion of -1 in im 0.687 * [taylor]: Taking taylor expansion of re in im 0.688 * [taylor]: Taking taylor expansion of (* (sin (/ -1 im)) (sqrt (exp (/ -1 re)))) in re 0.688 * [taylor]: Taking taylor expansion of (sin (/ -1 im)) in re 0.688 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.688 * [taylor]: Taking taylor expansion of -1 in re 0.688 * [taylor]: Taking taylor expansion of im in re 0.688 * [taylor]: Taking taylor expansion of (sqrt (exp (/ -1 re))) in re 0.688 * [taylor]: Taking taylor expansion of (exp (/ -1 re)) in re 0.688 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.688 * [taylor]: Taking taylor expansion of -1 in re 0.688 * [taylor]: Taking taylor expansion of re in re 0.689 * [taylor]: Taking taylor expansion of (* (sin (/ -1 im)) (sqrt (exp (/ -1 re)))) in re 0.689 * [taylor]: Taking taylor expansion of (sin (/ -1 im)) in re 0.689 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.689 * [taylor]: Taking taylor expansion of -1 in re 0.689 * [taylor]: Taking taylor expansion of im in re 0.689 * [taylor]: Taking taylor expansion of (sqrt (exp (/ -1 re))) in re 0.689 * [taylor]: Taking taylor expansion of (exp (/ -1 re)) in re 0.689 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.689 * [taylor]: Taking taylor expansion of -1 in re 0.689 * [taylor]: Taking taylor expansion of re in re 0.689 * [taylor]: Taking taylor expansion of (* (sin (/ -1 im)) (sqrt (exp (/ -1 re)))) in im 0.689 * [taylor]: Taking taylor expansion of (sin (/ -1 im)) in im 0.689 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.690 * [taylor]: Taking taylor expansion of -1 in im 0.690 * [taylor]: Taking taylor expansion of im in im 0.690 * [taylor]: Taking taylor expansion of (sqrt (exp (/ -1 re))) in im 0.690 * [taylor]: Taking taylor expansion of (exp (/ -1 re)) in im 0.690 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.690 * [taylor]: Taking taylor expansion of -1 in im 0.690 * [taylor]: Taking taylor expansion of re in im 0.692 * [taylor]: Taking taylor expansion of 0 in im 0.695 * [taylor]: Taking taylor expansion of 0 in im 0.700 * [taylor]: Taking taylor expansion of 0 in im 0.700 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 0.700 * [approximate]: Taking taylor expansion of (pow (* (sin im) (sqrt (exp re))) 3) in (re im) around 0 0.700 * [taylor]: Taking taylor expansion of (pow (* (sin im) (sqrt (exp re))) 3) in im 0.700 * [taylor]: Taking taylor expansion of (* (sin im) (sqrt (exp re))) in im 0.701 * [taylor]: Taking taylor expansion of (sin im) in im 0.701 * [taylor]: Taking taylor expansion of im in im 0.701 * [taylor]: Taking taylor expansion of (sqrt (exp re)) in im 0.701 * [taylor]: Taking taylor expansion of (exp re) in im 0.701 * [taylor]: Taking taylor expansion of re in im 0.702 * [taylor]: Taking taylor expansion of (pow (* (sin im) (sqrt (exp re))) 3) in re 0.702 * [taylor]: Taking taylor expansion of (* (sin im) (sqrt (exp re))) in re 0.702 * [taylor]: Taking taylor expansion of (sin im) in re 0.702 * [taylor]: Taking taylor expansion of im in re 0.702 * [taylor]: Taking taylor expansion of (sqrt (exp re)) in re 0.702 * [taylor]: Taking taylor expansion of (exp re) in re 0.702 * [taylor]: Taking taylor expansion of re in re 0.703 * [taylor]: Taking taylor expansion of (pow (* (sin im) (sqrt (exp re))) 3) in re 0.703 * [taylor]: Taking taylor expansion of (* (sin im) (sqrt (exp re))) in re 0.703 * [taylor]: Taking taylor expansion of (sin im) in re 0.703 * [taylor]: Taking taylor expansion of im in re 0.703 * [taylor]: Taking taylor expansion of (sqrt (exp re)) in re 0.703 * [taylor]: Taking taylor expansion of (exp re) in re 0.703 * [taylor]: Taking taylor expansion of re in re 0.705 * [taylor]: Taking taylor expansion of (pow (sin im) 3) in im 0.705 * [taylor]: Taking taylor expansion of (sin im) in im 0.705 * [taylor]: Taking taylor expansion of im in im 0.708 * [taylor]: Taking taylor expansion of (* 3/2 (pow (sin im) 3)) in im 0.708 * [taylor]: Taking taylor expansion of 3/2 in im 0.708 * [taylor]: Taking taylor expansion of (pow (sin im) 3) in im 0.708 * [taylor]: Taking taylor expansion of (sin im) in im 0.708 * [taylor]: Taking taylor expansion of im in im 0.714 * [taylor]: Taking taylor expansion of (* 9/8 (pow (sin im) 3)) in im 0.715 * [taylor]: Taking taylor expansion of 9/8 in im 0.715 * [taylor]: Taking taylor expansion of (pow (sin im) 3) in im 0.715 * [taylor]: Taking taylor expansion of (sin im) in im 0.715 * [taylor]: Taking taylor expansion of im in im 0.716 * [approximate]: Taking taylor expansion of (pow (* (sqrt (exp (/ 1 re))) (sin (/ 1 im))) 3) in (re im) around 0 0.716 * [taylor]: Taking taylor expansion of (pow (* (sqrt (exp (/ 1 re))) (sin (/ 1 im))) 3) in im 0.716 * [taylor]: Taking taylor expansion of (* (sqrt (exp (/ 1 re))) (sin (/ 1 im))) in im 0.717 * [taylor]: Taking taylor expansion of (sqrt (exp (/ 1 re))) in im 0.717 * [taylor]: Taking taylor expansion of (exp (/ 1 re)) in im 0.717 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.717 * [taylor]: Taking taylor expansion of re in im 0.717 * [taylor]: Taking taylor expansion of (sin (/ 1 im)) in im 0.717 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.717 * [taylor]: Taking taylor expansion of im in im 0.718 * [taylor]: Taking taylor expansion of (pow (* (sqrt (exp (/ 1 re))) (sin (/ 1 im))) 3) in re 0.718 * [taylor]: Taking taylor expansion of (* (sqrt (exp (/ 1 re))) (sin (/ 1 im))) in re 0.718 * [taylor]: Taking taylor expansion of (sqrt (exp (/ 1 re))) in re 0.718 * [taylor]: Taking taylor expansion of (exp (/ 1 re)) in re 0.718 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.718 * [taylor]: Taking taylor expansion of re in re 0.718 * [taylor]: Taking taylor expansion of (sin (/ 1 im)) in re 0.718 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.718 * [taylor]: Taking taylor expansion of im in re 0.718 * [taylor]: Taking taylor expansion of (pow (* (sqrt (exp (/ 1 re))) (sin (/ 1 im))) 3) in re 0.718 * [taylor]: Taking taylor expansion of (* (sqrt (exp (/ 1 re))) (sin (/ 1 im))) in re 0.718 * [taylor]: Taking taylor expansion of (sqrt (exp (/ 1 re))) in re 0.718 * [taylor]: Taking taylor expansion of (exp (/ 1 re)) in re 0.718 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.718 * [taylor]: Taking taylor expansion of re in re 0.719 * [taylor]: Taking taylor expansion of (sin (/ 1 im)) in re 0.719 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.719 * [taylor]: Taking taylor expansion of im in re 0.720 * [taylor]: Taking taylor expansion of (* (sqrt (pow (exp (/ 1 re)) 3)) (pow (sin (/ 1 im)) 3)) in im 0.720 * [taylor]: Taking taylor expansion of (sqrt (pow (exp (/ 1 re)) 3)) in im 0.720 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 re)) 3) in im 0.720 * [taylor]: Taking taylor expansion of (exp (/ 1 re)) in im 0.720 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.720 * [taylor]: Taking taylor expansion of re in im 0.721 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 im)) 3) in im 0.721 * [taylor]: Taking taylor expansion of (sin (/ 1 im)) in im 0.721 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.721 * [taylor]: Taking taylor expansion of im in im 0.724 * [taylor]: Taking taylor expansion of 0 in im 0.727 * [taylor]: Taking taylor expansion of 0 in im 0.735 * [taylor]: Taking taylor expansion of 0 in im 0.736 * [approximate]: Taking taylor expansion of (pow (* (sin (/ -1 im)) (sqrt (exp (/ -1 re)))) 3) in (re im) around 0 0.736 * [taylor]: Taking taylor expansion of (pow (* (sin (/ -1 im)) (sqrt (exp (/ -1 re)))) 3) in im 0.736 * [taylor]: Taking taylor expansion of (* (sin (/ -1 im)) (sqrt (exp (/ -1 re)))) in im 0.736 * [taylor]: Taking taylor expansion of (sin (/ -1 im)) in im 0.736 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.736 * [taylor]: Taking taylor expansion of -1 in im 0.736 * [taylor]: Taking taylor expansion of im in im 0.736 * [taylor]: Taking taylor expansion of (sqrt (exp (/ -1 re))) in im 0.736 * [taylor]: Taking taylor expansion of (exp (/ -1 re)) in im 0.736 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.736 * [taylor]: Taking taylor expansion of -1 in im 0.736 * [taylor]: Taking taylor expansion of re in im 0.737 * [taylor]: Taking taylor expansion of (pow (* (sin (/ -1 im)) (sqrt (exp (/ -1 re)))) 3) in re 0.737 * [taylor]: Taking taylor expansion of (* (sin (/ -1 im)) (sqrt (exp (/ -1 re)))) in re 0.737 * [taylor]: Taking taylor expansion of (sin (/ -1 im)) in re 0.737 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.737 * [taylor]: Taking taylor expansion of -1 in re 0.737 * [taylor]: Taking taylor expansion of im in re 0.737 * [taylor]: Taking taylor expansion of (sqrt (exp (/ -1 re))) in re 0.737 * [taylor]: Taking taylor expansion of (exp (/ -1 re)) in re 0.737 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.737 * [taylor]: Taking taylor expansion of -1 in re 0.737 * [taylor]: Taking taylor expansion of re in re 0.738 * [taylor]: Taking taylor expansion of (pow (* (sin (/ -1 im)) (sqrt (exp (/ -1 re)))) 3) in re 0.738 * [taylor]: Taking taylor expansion of (* (sin (/ -1 im)) (sqrt (exp (/ -1 re)))) in re 0.738 * [taylor]: Taking taylor expansion of (sin (/ -1 im)) in re 0.738 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.738 * [taylor]: Taking taylor expansion of -1 in re 0.738 * [taylor]: Taking taylor expansion of im in re 0.738 * [taylor]: Taking taylor expansion of (sqrt (exp (/ -1 re))) in re 0.738 * [taylor]: Taking taylor expansion of (exp (/ -1 re)) in re 0.738 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.738 * [taylor]: Taking taylor expansion of -1 in re 0.738 * [taylor]: Taking taylor expansion of re in re 0.739 * [taylor]: Taking taylor expansion of (* (pow (sin (/ -1 im)) 3) (sqrt (pow (exp (/ -1 re)) 3))) in im 0.739 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 im)) 3) in im 0.739 * [taylor]: Taking taylor expansion of (sin (/ -1 im)) in im 0.739 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.739 * [taylor]: Taking taylor expansion of -1 in im 0.739 * [taylor]: Taking taylor expansion of im in im 0.739 * [taylor]: Taking taylor expansion of (sqrt (pow (exp (/ -1 re)) 3)) in im 0.739 * [taylor]: Taking taylor expansion of (pow (exp (/ -1 re)) 3) in im 0.739 * [taylor]: Taking taylor expansion of (exp (/ -1 re)) in im 0.739 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.739 * [taylor]: Taking taylor expansion of -1 in im 0.740 * [taylor]: Taking taylor expansion of re in im 0.743 * [taylor]: Taking taylor expansion of 0 in im 0.747 * [taylor]: Taking taylor expansion of 0 in im 0.755 * [taylor]: Taking taylor expansion of 0 in im 0.756 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1) 0.756 * [approximate]: Taking taylor expansion of (* (sin im) (sqrt (exp re))) in (re im) around 0 0.756 * [taylor]: Taking taylor expansion of (* (sin im) (sqrt (exp re))) in im 0.756 * [taylor]: Taking taylor expansion of (sin im) in im 0.756 * [taylor]: Taking taylor expansion of im in im 0.756 * [taylor]: Taking taylor expansion of (sqrt (exp re)) in im 0.756 * [taylor]: Taking taylor expansion of (exp re) in im 0.756 * [taylor]: Taking taylor expansion of re in im 0.756 * [taylor]: Taking taylor expansion of (* (sin im) (sqrt (exp re))) in re 0.756 * [taylor]: Taking taylor expansion of (sin im) in re 0.756 * [taylor]: Taking taylor expansion of im in re 0.756 * [taylor]: Taking taylor expansion of (sqrt (exp re)) in re 0.756 * [taylor]: Taking taylor expansion of (exp re) in re 0.757 * [taylor]: Taking taylor expansion of re in re 0.758 * [taylor]: Taking taylor expansion of (* (sin im) (sqrt (exp re))) in re 0.758 * [taylor]: Taking taylor expansion of (sin im) in re 0.758 * [taylor]: Taking taylor expansion of im in re 0.758 * [taylor]: Taking taylor expansion of (sqrt (exp re)) in re 0.758 * [taylor]: Taking taylor expansion of (exp re) in re 0.758 * [taylor]: Taking taylor expansion of re in re 0.759 * [taylor]: Taking taylor expansion of (sin im) in im 0.759 * [taylor]: Taking taylor expansion of im in im 0.761 * [taylor]: Taking taylor expansion of (* 1/2 (sin im)) in im 0.761 * [taylor]: Taking taylor expansion of 1/2 in im 0.761 * [taylor]: Taking taylor expansion of (sin im) in im 0.761 * [taylor]: Taking taylor expansion of im in im 0.765 * [taylor]: Taking taylor expansion of (* 1/8 (sin im)) in im 0.765 * [taylor]: Taking taylor expansion of 1/8 in im 0.765 * [taylor]: Taking taylor expansion of (sin im) in im 0.765 * [taylor]: Taking taylor expansion of im in im 0.774 * [taylor]: Taking taylor expansion of (* 1/48 (sin im)) in im 0.774 * [taylor]: Taking taylor expansion of 1/48 in im 0.774 * [taylor]: Taking taylor expansion of (sin im) in im 0.774 * [taylor]: Taking taylor expansion of im in im 0.776 * [approximate]: Taking taylor expansion of (* (sqrt (exp (/ 1 re))) (sin (/ 1 im))) in (re im) around 0 0.776 * [taylor]: Taking taylor expansion of (* (sqrt (exp (/ 1 re))) (sin (/ 1 im))) in im 0.776 * [taylor]: Taking taylor expansion of (sqrt (exp (/ 1 re))) in im 0.776 * [taylor]: Taking taylor expansion of (exp (/ 1 re)) in im 0.776 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.776 * [taylor]: Taking taylor expansion of re in im 0.776 * [taylor]: Taking taylor expansion of (sin (/ 1 im)) in im 0.776 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.776 * [taylor]: Taking taylor expansion of im in im 0.777 * [taylor]: Taking taylor expansion of (* (sqrt (exp (/ 1 re))) (sin (/ 1 im))) in re 0.777 * [taylor]: Taking taylor expansion of (sqrt (exp (/ 1 re))) in re 0.777 * [taylor]: Taking taylor expansion of (exp (/ 1 re)) in re 0.777 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.777 * [taylor]: Taking taylor expansion of re in re 0.777 * [taylor]: Taking taylor expansion of (sin (/ 1 im)) in re 0.777 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.777 * [taylor]: Taking taylor expansion of im in re 0.777 * [taylor]: Taking taylor expansion of (* (sqrt (exp (/ 1 re))) (sin (/ 1 im))) in re 0.777 * [taylor]: Taking taylor expansion of (sqrt (exp (/ 1 re))) in re 0.777 * [taylor]: Taking taylor expansion of (exp (/ 1 re)) in re 0.777 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.777 * [taylor]: Taking taylor expansion of re in re 0.778 * [taylor]: Taking taylor expansion of (sin (/ 1 im)) in re 0.778 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.778 * [taylor]: Taking taylor expansion of im in re 0.778 * [taylor]: Taking taylor expansion of (* (sqrt (exp (/ 1 re))) (sin (/ 1 im))) in im 0.778 * [taylor]: Taking taylor expansion of (sqrt (exp (/ 1 re))) in im 0.778 * [taylor]: Taking taylor expansion of (exp (/ 1 re)) in im 0.778 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.778 * [taylor]: Taking taylor expansion of re in im 0.779 * [taylor]: Taking taylor expansion of (sin (/ 1 im)) in im 0.779 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.779 * [taylor]: Taking taylor expansion of im in im 0.781 * [taylor]: Taking taylor expansion of 0 in im 0.784 * [taylor]: Taking taylor expansion of 0 in im 0.789 * [taylor]: Taking taylor expansion of 0 in im 0.789 * [approximate]: Taking taylor expansion of (* (sin (/ -1 im)) (sqrt (exp (/ -1 re)))) in (re im) around 0 0.789 * [taylor]: Taking taylor expansion of (* (sin (/ -1 im)) (sqrt (exp (/ -1 re)))) in im 0.789 * [taylor]: Taking taylor expansion of (sin (/ -1 im)) in im 0.789 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.789 * [taylor]: Taking taylor expansion of -1 in im 0.789 * [taylor]: Taking taylor expansion of im in im 0.789 * [taylor]: Taking taylor expansion of (sqrt (exp (/ -1 re))) in im 0.789 * [taylor]: Taking taylor expansion of (exp (/ -1 re)) in im 0.789 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.789 * [taylor]: Taking taylor expansion of -1 in im 0.789 * [taylor]: Taking taylor expansion of re in im 0.790 * [taylor]: Taking taylor expansion of (* (sin (/ -1 im)) (sqrt (exp (/ -1 re)))) in re 0.790 * [taylor]: Taking taylor expansion of (sin (/ -1 im)) in re 0.790 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.790 * [taylor]: Taking taylor expansion of -1 in re 0.790 * [taylor]: Taking taylor expansion of im in re 0.790 * [taylor]: Taking taylor expansion of (sqrt (exp (/ -1 re))) in re 0.790 * [taylor]: Taking taylor expansion of (exp (/ -1 re)) in re 0.790 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.790 * [taylor]: Taking taylor expansion of -1 in re 0.790 * [taylor]: Taking taylor expansion of re in re 0.791 * [taylor]: Taking taylor expansion of (* (sin (/ -1 im)) (sqrt (exp (/ -1 re)))) in re 0.791 * [taylor]: Taking taylor expansion of (sin (/ -1 im)) in re 0.791 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.791 * [taylor]: Taking taylor expansion of -1 in re 0.791 * [taylor]: Taking taylor expansion of im in re 0.791 * [taylor]: Taking taylor expansion of (sqrt (exp (/ -1 re))) in re 0.791 * [taylor]: Taking taylor expansion of (exp (/ -1 re)) in re 0.791 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.791 * [taylor]: Taking taylor expansion of -1 in re 0.791 * [taylor]: Taking taylor expansion of re in re 0.792 * [taylor]: Taking taylor expansion of (* (sin (/ -1 im)) (sqrt (exp (/ -1 re)))) in im 0.792 * [taylor]: Taking taylor expansion of (sin (/ -1 im)) in im 0.792 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.792 * [taylor]: Taking taylor expansion of -1 in im 0.792 * [taylor]: Taking taylor expansion of im in im 0.792 * [taylor]: Taking taylor expansion of (sqrt (exp (/ -1 re))) in im 0.792 * [taylor]: Taking taylor expansion of (exp (/ -1 re)) in im 0.792 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.792 * [taylor]: Taking taylor expansion of -1 in im 0.792 * [taylor]: Taking taylor expansion of re in im 0.794 * [taylor]: Taking taylor expansion of 0 in im 0.797 * [taylor]: Taking taylor expansion of 0 in im 0.802 * [taylor]: Taking taylor expansion of 0 in im 0.802 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.803 * [approximate]: Taking taylor expansion of (* (sin im) (exp re)) in (re im) around 0 0.803 * [taylor]: Taking taylor expansion of (* (sin im) (exp re)) in im 0.803 * [taylor]: Taking taylor expansion of (sin im) in im 0.803 * [taylor]: Taking taylor expansion of im in im 0.803 * [taylor]: Taking taylor expansion of (exp re) in im 0.803 * [taylor]: Taking taylor expansion of re in im 0.803 * [taylor]: Taking taylor expansion of (* (sin im) (exp re)) in re 0.803 * [taylor]: Taking taylor expansion of (sin im) in re 0.803 * [taylor]: Taking taylor expansion of im in re 0.803 * [taylor]: Taking taylor expansion of (exp re) in re 0.803 * [taylor]: Taking taylor expansion of re in re 0.803 * [taylor]: Taking taylor expansion of (* (sin im) (exp re)) in re 0.803 * [taylor]: Taking taylor expansion of (sin im) in re 0.803 * [taylor]: Taking taylor expansion of im in re 0.803 * [taylor]: Taking taylor expansion of (exp re) in re 0.803 * [taylor]: Taking taylor expansion of re in re 0.803 * [taylor]: Taking taylor expansion of (sin im) in im 0.803 * [taylor]: Taking taylor expansion of im in im 0.805 * [taylor]: Taking taylor expansion of (sin im) in im 0.805 * [taylor]: Taking taylor expansion of im in im 0.809 * [taylor]: Taking taylor expansion of (* 1/2 (sin im)) in im 0.809 * [taylor]: Taking taylor expansion of 1/2 in im 0.809 * [taylor]: Taking taylor expansion of (sin im) in im 0.809 * [taylor]: Taking taylor expansion of im in im 0.814 * [taylor]: Taking taylor expansion of (* 1/6 (sin im)) in im 0.814 * [taylor]: Taking taylor expansion of 1/6 in im 0.814 * [taylor]: Taking taylor expansion of (sin im) in im 0.814 * [taylor]: Taking taylor expansion of im in im 0.815 * [approximate]: Taking taylor expansion of (* (exp (/ 1 re)) (sin (/ 1 im))) in (re im) around 0 0.815 * [taylor]: Taking taylor expansion of (* (exp (/ 1 re)) (sin (/ 1 im))) in im 0.815 * [taylor]: Taking taylor expansion of (exp (/ 1 re)) in im 0.815 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.815 * [taylor]: Taking taylor expansion of re in im 0.815 * [taylor]: Taking taylor expansion of (sin (/ 1 im)) in im 0.815 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.815 * [taylor]: Taking taylor expansion of im in im 0.816 * [taylor]: Taking taylor expansion of (* (exp (/ 1 re)) (sin (/ 1 im))) in re 0.816 * [taylor]: Taking taylor expansion of (exp (/ 1 re)) in re 0.816 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.816 * [taylor]: Taking taylor expansion of re in re 0.816 * [taylor]: Taking taylor expansion of (sin (/ 1 im)) in re 0.816 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.816 * [taylor]: Taking taylor expansion of im in re 0.816 * [taylor]: Taking taylor expansion of (* (exp (/ 1 re)) (sin (/ 1 im))) in re 0.817 * [taylor]: Taking taylor expansion of (exp (/ 1 re)) in re 0.817 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.817 * [taylor]: Taking taylor expansion of re in re 0.817 * [taylor]: Taking taylor expansion of (sin (/ 1 im)) in re 0.817 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.817 * [taylor]: Taking taylor expansion of im in re 0.817 * [taylor]: Taking taylor expansion of (* (exp (/ 1 re)) (sin (/ 1 im))) in im 0.817 * [taylor]: Taking taylor expansion of (exp (/ 1 re)) in im 0.817 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.817 * [taylor]: Taking taylor expansion of re in im 0.817 * [taylor]: Taking taylor expansion of (sin (/ 1 im)) in im 0.817 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.817 * [taylor]: Taking taylor expansion of im in im 0.819 * [taylor]: Taking taylor expansion of 0 in im 0.822 * [taylor]: Taking taylor expansion of 0 in im 0.826 * [taylor]: Taking taylor expansion of 0 in im 0.827 * [approximate]: Taking taylor expansion of (* (sin (/ -1 im)) (exp (/ -1 re))) in (re im) around 0 0.827 * [taylor]: Taking taylor expansion of (* (sin (/ -1 im)) (exp (/ -1 re))) in im 0.827 * [taylor]: Taking taylor expansion of (sin (/ -1 im)) in im 0.827 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.827 * [taylor]: Taking taylor expansion of -1 in im 0.827 * [taylor]: Taking taylor expansion of im in im 0.827 * [taylor]: Taking taylor expansion of (exp (/ -1 re)) in im 0.827 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.827 * [taylor]: Taking taylor expansion of -1 in im 0.827 * [taylor]: Taking taylor expansion of re in im 0.827 * [taylor]: Taking taylor expansion of (* (sin (/ -1 im)) (exp (/ -1 re))) in re 0.827 * [taylor]: Taking taylor expansion of (sin (/ -1 im)) in re 0.827 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.827 * [taylor]: Taking taylor expansion of -1 in re 0.827 * [taylor]: Taking taylor expansion of im in re 0.827 * [taylor]: Taking taylor expansion of (exp (/ -1 re)) in re 0.827 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.827 * [taylor]: Taking taylor expansion of -1 in re 0.827 * [taylor]: Taking taylor expansion of re in re 0.828 * [taylor]: Taking taylor expansion of (* (sin (/ -1 im)) (exp (/ -1 re))) in re 0.828 * [taylor]: Taking taylor expansion of (sin (/ -1 im)) in re 0.828 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.828 * [taylor]: Taking taylor expansion of -1 in re 0.828 * [taylor]: Taking taylor expansion of im in re 0.828 * [taylor]: Taking taylor expansion of (exp (/ -1 re)) in re 0.828 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.828 * [taylor]: Taking taylor expansion of -1 in re 0.828 * [taylor]: Taking taylor expansion of re in re 0.828 * [taylor]: Taking taylor expansion of (* (sin (/ -1 im)) (exp (/ -1 re))) in im 0.828 * [taylor]: Taking taylor expansion of (sin (/ -1 im)) in im 0.829 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.829 * [taylor]: Taking taylor expansion of -1 in im 0.829 * [taylor]: Taking taylor expansion of im in im 0.829 * [taylor]: Taking taylor expansion of (exp (/ -1 re)) in im 0.829 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.829 * [taylor]: Taking taylor expansion of -1 in im 0.829 * [taylor]: Taking taylor expansion of re in im 0.831 * [taylor]: Taking taylor expansion of 0 in im 0.834 * [taylor]: Taking taylor expansion of 0 in im 0.838 * [taylor]: Taking taylor expansion of 0 in im 0.838 * * * [progress]: simplifying candidates 0.839 * [simplify]: Simplifying using # : (expm1 (cbrt (pow (* (sqrt (exp re)) (sin im)) 3))) (log1p (cbrt (pow (* (sqrt (exp re)) (sin im)) 3))) (log (cbrt (pow (* (sqrt (exp re)) (sin im)) 3))) (exp (cbrt (pow (* (sqrt (exp re)) (sin im)) 3))) (cbrt (pow (sqrt (exp re)) 3)) (cbrt (pow (sin im) 3)) (cbrt (* (* (sqrt (exp re)) (sin im)) (* (sqrt (exp re)) (sin im)))) (cbrt (* (sqrt (exp re)) (sin im))) (cbrt (* (cbrt (pow (* (sqrt (exp re)) (sin im)) 3)) (cbrt (pow (* (sqrt (exp re)) (sin im)) 3)))) (cbrt (cbrt (pow (* (sqrt (exp re)) (sin im)) 3))) (cbrt (pow (sqrt (exp re)) 3)) (cbrt (pow (sin im) 3)) (cbrt (* (sqrt (exp re)) (sin im))) (cbrt (* (* (sqrt (exp re)) (sin im)) (* (sqrt (exp re)) (sin im)))) (cbrt (sqrt (pow (* (sqrt (exp re)) (sin im)) 3))) (cbrt (sqrt (pow (* (sqrt (exp re)) (sin im)) 3))) (cbrt 1) (cbrt (pow (* (sqrt (exp re)) (sin im)) 3)) (cbrt (pow (* (sqrt (exp re)) (sin im)) (/ 3 2))) (cbrt (pow (* (sqrt (exp re)) (sin im)) (/ 3 2))) (* (cbrt (cbrt (pow (* (sqrt (exp re)) (sin im)) 3))) (cbrt (cbrt (pow (* (sqrt (exp re)) (sin im)) 3)))) (cbrt (cbrt (pow (* (sqrt (exp re)) (sin im)) 3))) (* (* (cbrt (pow (* (sqrt (exp re)) (sin im)) 3)) (cbrt (pow (* (sqrt (exp re)) (sin im)) 3))) (cbrt (pow (* (sqrt (exp re)) (sin im)) 3))) (sqrt (cbrt (pow (* (sqrt (exp re)) (sin im)) 3))) (sqrt (cbrt (pow (* (sqrt (exp re)) (sin im)) 3))) (expm1 (pow (* (sqrt (exp re)) (sin im)) 3)) (log1p (pow (* (sqrt (exp re)) (sin im)) 3)) (* (+ (log (sqrt (exp re))) (log (sin im))) 3) (* (log (* (sqrt (exp re)) (sin im))) 3) (* (log (* (sqrt (exp re)) (sin im))) 3) (* 1 3) (* 1 3) (pow (* (sqrt (exp re)) (sin im)) (* (cbrt 3) (cbrt 3))) (pow (* (sqrt (exp re)) (sin im)) (sqrt 3)) (pow (* (sqrt (exp re)) (sin im)) 1) (pow (sqrt (exp re)) 3) (pow (sin im) 3) (* (* (sqrt (exp re)) (sin im)) (* (sqrt (exp re)) (sin im))) (log (pow (* (sqrt (exp re)) (sin im)) 3)) (exp (pow (* (sqrt (exp re)) (sin im)) 3)) (* (cbrt (pow (* (sqrt (exp re)) (sin im)) 3)) (cbrt (pow (* (sqrt (exp re)) (sin im)) 3))) (cbrt (pow (* (sqrt (exp re)) (sin im)) 3)) (* (* (pow (* (sqrt (exp re)) (sin im)) 3) (pow (* (sqrt (exp re)) (sin im)) 3)) (pow (* (sqrt (exp re)) (sin im)) 3)) (pow (sqrt (exp re)) 3) (pow (sin im) 3) (* (* (sqrt (exp re)) (sin im)) (* (sqrt (exp re)) (sin im))) (sqrt (pow (* (sqrt (exp re)) (sin im)) 3)) (sqrt (pow (* (sqrt (exp re)) (sin im)) 3)) (pow (* (sqrt (exp re)) (sin im)) (/ 3 2)) (pow (* (sqrt (exp re)) (sin im)) (/ 3 2)) (expm1 (* (sqrt (exp re)) (sin im))) (log1p (* (sqrt (exp re)) (sin im))) (* (sqrt (exp re)) (sin im)) (+ (log (sqrt (exp re))) (log (sin im))) (log (* (sqrt (exp re)) (sin im))) (exp (* (sqrt (exp re)) (sin im))) (* (* (* (sqrt (exp re)) (sqrt (exp re))) (sqrt (exp re))) (* (* (sin im) (sin im)) (sin im))) (* (cbrt (* (sqrt (exp re)) (sin im))) (cbrt (* (sqrt (exp re)) (sin im)))) (cbrt (* (sqrt (exp re)) (sin im))) (* (* (* (sqrt (exp re)) (sin im)) (* (sqrt (exp re)) (sin im))) (* (sqrt (exp re)) (sin im))) (sqrt (* (sqrt (exp re)) (sin im))) (sqrt (* (sqrt (exp re)) (sin im))) (* (sqrt (sqrt (exp re))) (sqrt (sin im))) (* (sqrt (sqrt (exp re))) (sqrt (sin im))) (* (sqrt (sqrt (exp re))) (sqrt (sin im))) (* (sqrt (sqrt (exp re))) (sqrt (sin im))) (* (sqrt (exp re)) (* (cbrt (sin im)) (cbrt (sin im)))) (* (sqrt (exp re)) (sqrt (sin im))) (* (sqrt (exp re)) 1) (* (cbrt (sqrt (exp re))) (sin im)) (* (sqrt (cbrt (exp re))) (sin im)) (* (sqrt (sqrt (exp re))) (sin im)) (* (sqrt (exp re)) (sin im)) (* (sqrt (sqrt (exp re))) (sin im)) (* (sqrt (exp re)) (sin im)) (expm1 (* (sqrt (exp re)) (cbrt (pow (* (sqrt (exp re)) (sin im)) 3)))) (log1p (* (sqrt (exp re)) (cbrt (pow (* (sqrt (exp re)) (sin im)) 3)))) (* (sqrt (exp re)) (cbrt (pow (* (sqrt (exp re)) (sin im)) 3))) (+ (log (sqrt (exp re))) (log (cbrt (pow (* (sqrt (exp re)) (sin im)) 3)))) (log (* (sqrt (exp re)) (cbrt (pow (* (sqrt (exp re)) (sin im)) 3)))) (exp (* (sqrt (exp re)) (cbrt (pow (* (sqrt (exp re)) (sin im)) 3)))) (* (* (* (sqrt (exp re)) (sqrt (exp re))) (sqrt (exp re))) (pow (* (sqrt (exp re)) (sin im)) 3)) (* (cbrt (* (sqrt (exp re)) (cbrt (pow (* (sqrt (exp re)) (sin im)) 3)))) (cbrt (* (sqrt (exp re)) (cbrt (pow (* (sqrt (exp re)) (sin im)) 3))))) (cbrt (* (sqrt (exp re)) (cbrt (pow (* (sqrt (exp re)) (sin im)) 3)))) (* (* (* (sqrt (exp re)) (cbrt (pow (* (sqrt (exp re)) (sin im)) 3))) (* (sqrt (exp re)) (cbrt (pow (* (sqrt (exp re)) (sin im)) 3)))) (* (sqrt (exp re)) (cbrt (pow (* (sqrt (exp re)) (sin im)) 3)))) (sqrt (* (sqrt (exp re)) (cbrt (pow (* (sqrt (exp re)) (sin im)) 3)))) (sqrt (* (sqrt (exp re)) (cbrt (pow (* (sqrt (exp re)) (sin im)) 3)))) (* (sqrt (sqrt (exp re))) (cbrt (sqrt (pow (* (sqrt (exp re)) (sin im)) 3)))) (* (sqrt (sqrt (exp re))) (cbrt (sqrt (pow (* (sqrt (exp re)) (sin im)) 3)))) (* (sqrt (sqrt (exp re))) (cbrt (pow (* (sqrt (exp re)) (sin im)) (/ 3 2)))) (* (sqrt (sqrt (exp re))) (cbrt (pow (* (sqrt (exp re)) (sin im)) (/ 3 2)))) (* (sqrt (sqrt (exp re))) (sqrt (cbrt (pow (* (sqrt (exp re)) (sin im)) 3)))) (* (sqrt (sqrt (exp re))) (sqrt (cbrt (pow (* (sqrt (exp re)) (sin im)) 3)))) (* (sqrt (sqrt (exp re))) (cbrt (sqrt (pow (* (sqrt (exp re)) (sin im)) 3)))) (* (sqrt (sqrt (exp re))) (cbrt (sqrt (pow (* (sqrt (exp re)) (sin im)) 3)))) (* (sqrt (sqrt (exp re))) (cbrt (pow (* (sqrt (exp re)) (sin im)) (/ 3 2)))) (* (sqrt (sqrt (exp re))) (cbrt (pow (* (sqrt (exp re)) (sin im)) (/ 3 2)))) (* (sqrt (sqrt (exp re))) (sqrt (cbrt (pow (* (sqrt (exp re)) (sin im)) 3)))) (* (sqrt (sqrt (exp re))) (sqrt (cbrt (pow (* (sqrt (exp re)) (sin im)) 3)))) (* (sqrt (exp re)) (cbrt (pow (sqrt (exp re)) 3))) (* (sqrt (exp re)) (cbrt (* (* (sqrt (exp re)) (sin im)) (* (sqrt (exp re)) (sin im))))) (* (sqrt (exp re)) (cbrt (* (cbrt (pow (* (sqrt (exp re)) (sin im)) 3)) (cbrt (pow (* (sqrt (exp re)) (sin im)) 3))))) (* (sqrt (exp re)) (cbrt (pow (sqrt (exp re)) 3))) (* (sqrt (exp re)) (cbrt (* (sqrt (exp re)) (sin im)))) (* (sqrt (exp re)) (cbrt (sqrt (pow (* (sqrt (exp re)) (sin im)) 3)))) (* (sqrt (exp re)) (cbrt 1)) (* (sqrt (exp re)) (cbrt (pow (* (sqrt (exp re)) (sin im)) (/ 3 2)))) (* (sqrt (exp re)) (* (cbrt (cbrt (pow (* (sqrt (exp re)) (sin im)) 3))) (cbrt (cbrt (pow (* (sqrt (exp re)) (sin im)) 3))))) (* (sqrt (exp re)) (sqrt (cbrt (pow (* (sqrt (exp re)) (sin im)) 3)))) (* (sqrt (exp re)) 1) (* (cbrt (sqrt (exp re))) (cbrt (pow (* (sqrt (exp re)) (sin im)) 3))) (* (sqrt (cbrt (exp re))) (cbrt (pow (* (sqrt (exp re)) (sin im)) 3))) (* (sqrt (sqrt (exp re))) (cbrt (pow (* (sqrt (exp re)) (sin im)) 3))) (* (sqrt (exp re)) (cbrt (pow (* (sqrt (exp re)) (sin im)) 3))) (* (sqrt (sqrt (exp re))) (cbrt (pow (* (sqrt (exp re)) (sin im)) 3))) (* (sqrt (exp re)) (cbrt (pow (* (sqrt (exp re)) (sin im)) 3))) (+ (* 1/8 (* (pow re 2) im)) (+ (* 1/2 (* re im)) im)) (* (sin im) (sqrt (exp re))) (* (sin im) (sqrt (exp re))) (+ (* 3/2 (* re (pow im 3))) (+ (pow im 3) (* 9/8 (* (pow re 2) (pow im 3))))) (* (pow (sin im) 3) (sqrt (pow (exp re) 3))) (* (pow (sin im) 3) (sqrt (pow (exp re) 3))) (+ (* 1/8 (* (pow re 2) im)) (+ (* 1/2 (* re im)) im)) (* (sin im) (sqrt (exp re))) (* (sin im) (sqrt (exp re))) (+ (* 1/2 (* (pow re 2) im)) (+ (* re im) im)) (* (sin im) (exp re)) (* (sin im) (exp re)) 0.845 * * [simplify]: iteration 0 : 270 enodes (cost 856 ) 0.850 * * [simplify]: iteration 1 : 1188 enodes (cost 799 ) 0.877 * * [simplify]: iteration 2 : 5002 enodes (cost 779 ) 0.880 * [simplify]: Simplified to: (expm1 (* (sqrt (exp re)) (sin im))) (log1p (* (sqrt (exp re)) (sin im))) (log (* (sqrt (exp re)) (sin im))) (exp (* (sqrt (exp re)) (sin im))) (sqrt (exp re)) (sin im) (cbrt (* (* (sqrt (exp re)) (sin im)) (* (sqrt (exp re)) (sin im)))) (cbrt (* (sqrt (exp re)) (sin im))) (cbrt (* (* (sqrt (exp re)) (sin im)) (* (sqrt (exp re)) (sin im)))) (cbrt (* (sqrt (exp re)) (sin im))) (sqrt (exp re)) (sin im) (cbrt (* (sqrt (exp re)) (sin im))) (cbrt (* (* (sqrt (exp re)) (sin im)) (* (sqrt (exp re)) (sin im)))) (cbrt (sqrt (pow (* (sqrt (exp re)) (sin im)) 3))) (cbrt (sqrt (pow (* (sqrt (exp re)) (sin im)) 3))) 1 (* (sqrt (exp re)) (sin im)) (cbrt (pow (* (sqrt (exp re)) (sin im)) (/ 3 2))) (cbrt (pow (* (sqrt (exp re)) (sin im)) (/ 3 2))) (* (cbrt (* (sqrt (exp re)) (sin im))) (cbrt (* (sqrt (exp re)) (sin im)))) (cbrt (* (sqrt (exp re)) (sin im))) (pow (* (sqrt (exp re)) (sin im)) 3) (pow (* (sqrt (exp re)) (sin im)) 1/2) (pow (* (sqrt (exp re)) (sin im)) 1/2) (expm1 (pow (* (sqrt (exp re)) (sin im)) 3)) (log1p (pow (* (sqrt (exp re)) (sin im)) 3)) (log (pow (* (sqrt (exp re)) (sin im)) 3)) (log (pow (* (sqrt (exp re)) (sin im)) 3)) (log (pow (* (sqrt (exp re)) (sin im)) 3)) 3 3 (pow (* (sqrt (exp re)) (sin im)) (* (cbrt 3) (cbrt 3))) (pow (* (sqrt (exp re)) (sin im)) (sqrt 3)) (* (sqrt (exp re)) (sin im)) (pow (sqrt (exp re)) 3) (pow (sin im) 3) (* (exp re) (* (sin im) (sin im))) (log (pow (* (sqrt (exp re)) (sin im)) 3)) (exp (pow (* (sqrt (exp re)) (sin im)) 3)) (* (exp re) (* (sin im) (sin im))) (* (sqrt (exp re)) (sin im)) (pow (pow (* (sqrt (exp re)) (sin im)) 3) 3) (pow (sqrt (exp re)) 3) (pow (sin im) 3) (* (exp re) (* (sin im) (sin im))) (sqrt (pow (* (sqrt (exp re)) (sin im)) 3)) (sqrt (pow (* (sqrt (exp re)) (sin im)) 3)) (pow (* (sqrt (exp re)) (sin im)) 3/2) (pow (* (sqrt (exp re)) (sin im)) 3/2) (expm1 (* (sqrt (exp re)) (sin im))) (log1p (* (sqrt (exp re)) (sin im))) (* (sqrt (exp re)) (sin im)) (log (* (sqrt (exp re)) (sin im))) (log (* (sqrt (exp re)) (sin im))) (exp (* (sqrt (exp re)) (sin im))) (pow (* (sqrt (exp re)) (sin im)) 3) (* (cbrt (* (sqrt (exp re)) (sin im))) (cbrt (* (sqrt (exp re)) (sin im)))) (cbrt (* (sqrt (exp re)) (sin im))) (pow (* (sqrt (exp re)) (sin im)) 3) (pow (* (sqrt (exp re)) (sin im)) 1/2) (pow (* (sqrt (exp re)) (sin im)) 1/2) (* (sqrt (sqrt (exp re))) (sqrt (sin im))) (* (sqrt (sqrt (exp re))) (sqrt (sin im))) (* (sqrt (sqrt (exp re))) (sqrt (sin im))) (* (sqrt (sqrt (exp re))) (sqrt (sin im))) (* (sqrt (exp re)) (* (cbrt (sin im)) (cbrt (sin im)))) (* (sqrt (exp re)) (sqrt (sin im))) (sqrt (exp re)) (* (cbrt (sqrt (exp re))) (sin im)) (* (sqrt (cbrt (exp re))) (sin im)) (* (sqrt (sqrt (exp re))) (sin im)) (* (sqrt (exp re)) (sin im)) (* (sqrt (sqrt (exp re))) (sin im)) (* (sqrt (exp re)) (sin im)) (expm1 (* (sqrt (exp re)) (cbrt (pow (* (sqrt (exp re)) (sin im)) 3)))) (log1p (* (sqrt (exp re)) (cbrt (pow (* (sqrt (exp re)) (sin im)) 3)))) (* (sin im) (exp re)) (+ (log (exp re)) (log (sin im))) (+ (log (exp re)) (log (sin im))) (pow (exp (exp re)) (sin im)) (* (pow (exp re) 3) (pow (sin im) 3)) (* (cbrt (* (sqrt (exp re)) (cbrt (pow (* (sqrt (exp re)) (sin im)) 3)))) (cbrt (* (sqrt (exp re)) (cbrt (pow (* (sqrt (exp re)) (sin im)) 3))))) (cbrt (* (sqrt (exp re)) (cbrt (pow (* (sqrt (exp re)) (sin im)) 3)))) (* (pow (exp re) 3) (pow (sin im) 3)) (sqrt (* (sqrt (exp re)) (cbrt (pow (* (sqrt (exp re)) (sin im)) 3)))) (sqrt (* (sqrt (exp re)) (cbrt (pow (* (sqrt (exp re)) (sin im)) 3)))) (* (sqrt (sqrt (exp re))) (cbrt (sqrt (pow (* (sqrt (exp re)) (sin im)) 3)))) (* (sqrt (sqrt (exp re))) (cbrt (sqrt (pow (* (sqrt (exp re)) (sin im)) 3)))) (* (sqrt (sqrt (exp re))) (cbrt (pow (* (sqrt (exp re)) (sin im)) (/ 3 2)))) (* (sqrt (sqrt (exp re))) (cbrt (pow (* (sqrt (exp re)) (sin im)) (/ 3 2)))) (* (sqrt (sqrt (exp re))) (sqrt (* (sqrt (exp re)) (sin im)))) (* (sqrt (sqrt (exp re))) (sqrt (* (sqrt (exp re)) (sin im)))) (* (sqrt (sqrt (exp re))) (cbrt (sqrt (pow (* (sqrt (exp re)) (sin im)) 3)))) (* (sqrt (sqrt (exp re))) (cbrt (sqrt (pow (* (sqrt (exp re)) (sin im)) 3)))) (* (sqrt (sqrt (exp re))) (cbrt (pow (* (sqrt (exp re)) (sin im)) (/ 3 2)))) (* (sqrt (sqrt (exp re))) (cbrt (pow (* (sqrt (exp re)) (sin im)) (/ 3 2)))) (* (sqrt (sqrt (exp re))) (sqrt (* (sqrt (exp re)) (sin im)))) (* (sqrt (sqrt (exp re))) (sqrt (* (sqrt (exp re)) (sin im)))) (exp re) (* (sqrt (exp re)) (cbrt (* (* (sqrt (exp re)) (sin im)) (* (sqrt (exp re)) (sin im))))) (* (sqrt (exp re)) (cbrt (* (* (sqrt (exp re)) (sin im)) (* (sqrt (exp re)) (sin im))))) (exp re) (* (sqrt (exp re)) (cbrt (* (sqrt (exp re)) (sin im)))) (* (sqrt (exp re)) (cbrt (sqrt (pow (* (sqrt (exp re)) (sin im)) 3)))) (sqrt (exp re)) (* (sqrt (exp re)) (cbrt (pow (* (sqrt (exp re)) (sin im)) (/ 3 2)))) (* (* (sqrt (exp re)) (cbrt (* (sqrt (exp re)) (sin im)))) (cbrt (* (sqrt (exp re)) (sin im)))) (* (sqrt (exp re)) (sqrt (* (sqrt (exp re)) (sin im)))) (sqrt (exp re)) (* (* (sqrt (exp re)) (sin im)) (cbrt (sqrt (exp re)))) (* (* (sqrt (exp re)) (sin im)) (sqrt (cbrt (exp re)))) (* (* (sqrt (exp re)) (sin im)) (sqrt (sqrt (exp re)))) (* (sin im) (exp re)) (* (* (sqrt (exp re)) (sin im)) (sqrt (sqrt (exp re)))) (* (sin im) (exp re)) (fma 1/8 (* (pow re 2) im) (fma 1/2 (* re im) im)) (* (sqrt (exp re)) (sin im)) (* (sqrt (exp re)) (sin im)) (* (pow im 3) (+ (* 3/2 re) (fma (* 9/8 re) re 1))) (* (pow (sin im) 3) (sqrt (pow (exp re) 3))) (* (pow (sin im) 3) (sqrt (pow (exp re) 3))) (fma 1/8 (* (pow re 2) im) (fma 1/2 (* re im) im)) (* (sqrt (exp re)) (sin im)) (* (sqrt (exp re)) (sin im)) (fma 1/2 (* (pow re 2) im) (fma re im im)) (* (sin im) (exp re)) (* (sin im) (exp re)) 0.881 * * * [progress]: adding candidates to table 1.149 * * [progress]: iteration 4 / 4 1.149 * * * [progress]: picking best candidate 1.154 * * * * [pick]: Picked # 1.154 * * * [progress]: localizing error 1.167 * * * [progress]: generating rewritten candidates 1.167 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 1.174 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2) 1.180 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 1.181 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 3) 1.183 * * * [progress]: generating series expansions 1.183 * * * * [progress]: [ 1 / 4 ] generating series at (2) 1.183 * [approximate]: Taking taylor expansion of (* (fma 1/8 (* (pow re 2) im) (fma 1/2 (* re im) im)) (sqrt (exp re))) in (re im) around 0 1.183 * [taylor]: Taking taylor expansion of (* (fma 1/8 (* (pow re 2) im) (fma 1/2 (* re im) im)) (sqrt (exp re))) in im 1.183 * [taylor]: Taking taylor expansion of (fma 1/8 (* (pow re 2) im) (fma 1/2 (* re im) im)) in im 1.183 * [taylor]: Rewrote expression to (+ (* 1/8 (* (pow re 2) im)) (fma 1/2 (* re im) im)) 1.183 * [taylor]: Taking taylor expansion of (* 1/8 (* (pow re 2) im)) in im 1.183 * [taylor]: Taking taylor expansion of 1/8 in im 1.183 * [taylor]: Taking taylor expansion of (* (pow re 2) im) in im 1.183 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.183 * [taylor]: Taking taylor expansion of re in im 1.183 * [taylor]: Taking taylor expansion of im in im 1.183 * [taylor]: Taking taylor expansion of (fma 1/2 (* re im) im) in im 1.183 * [taylor]: Rewrote expression to (+ (* 1/2 (* re im)) im) 1.183 * [taylor]: Taking taylor expansion of (* 1/2 (* re im)) in im 1.183 * [taylor]: Taking taylor expansion of 1/2 in im 1.183 * [taylor]: Taking taylor expansion of (* re im) in im 1.183 * [taylor]: Taking taylor expansion of re in im 1.183 * [taylor]: Taking taylor expansion of im in im 1.183 * [taylor]: Taking taylor expansion of im in im 1.183 * [taylor]: Taking taylor expansion of (sqrt (exp re)) in im 1.183 * [taylor]: Taking taylor expansion of (exp re) in im 1.183 * [taylor]: Taking taylor expansion of re in im 1.184 * [taylor]: Taking taylor expansion of (* (fma 1/8 (* (pow re 2) im) (fma 1/2 (* re im) im)) (sqrt (exp re))) in re 1.184 * [taylor]: Taking taylor expansion of (fma 1/8 (* (pow re 2) im) (fma 1/2 (* re im) im)) in re 1.184 * [taylor]: Rewrote expression to (+ (* 1/8 (* (pow re 2) im)) (fma 1/2 (* re im) im)) 1.184 * [taylor]: Taking taylor expansion of (* 1/8 (* (pow re 2) im)) in re 1.184 * [taylor]: Taking taylor expansion of 1/8 in re 1.184 * [taylor]: Taking taylor expansion of (* (pow re 2) im) in re 1.185 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.185 * [taylor]: Taking taylor expansion of re in re 1.185 * [taylor]: Taking taylor expansion of im in re 1.185 * [taylor]: Taking taylor expansion of (fma 1/2 (* re im) im) in re 1.185 * [taylor]: Rewrote expression to (+ (* 1/2 (* re im)) im) 1.185 * [taylor]: Taking taylor expansion of (* 1/2 (* re im)) in re 1.185 * [taylor]: Taking taylor expansion of 1/2 in re 1.185 * [taylor]: Taking taylor expansion of (* re im) in re 1.185 * [taylor]: Taking taylor expansion of re in re 1.185 * [taylor]: Taking taylor expansion of im in re 1.185 * [taylor]: Taking taylor expansion of im in re 1.185 * [taylor]: Taking taylor expansion of (sqrt (exp re)) in re 1.185 * [taylor]: Taking taylor expansion of (exp re) in re 1.185 * [taylor]: Taking taylor expansion of re in re 1.186 * [taylor]: Taking taylor expansion of (* (fma 1/8 (* (pow re 2) im) (fma 1/2 (* re im) im)) (sqrt (exp re))) in re 1.186 * [taylor]: Taking taylor expansion of (fma 1/8 (* (pow re 2) im) (fma 1/2 (* re im) im)) in re 1.186 * [taylor]: Rewrote expression to (+ (* 1/8 (* (pow re 2) im)) (fma 1/2 (* re im) im)) 1.186 * [taylor]: Taking taylor expansion of (* 1/8 (* (pow re 2) im)) in re 1.186 * [taylor]: Taking taylor expansion of 1/8 in re 1.186 * [taylor]: Taking taylor expansion of (* (pow re 2) im) in re 1.186 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.186 * [taylor]: Taking taylor expansion of re in re 1.186 * [taylor]: Taking taylor expansion of im in re 1.186 * [taylor]: Taking taylor expansion of (fma 1/2 (* re im) im) in re 1.186 * [taylor]: Rewrote expression to (+ (* 1/2 (* re im)) im) 1.186 * [taylor]: Taking taylor expansion of (* 1/2 (* re im)) in re 1.186 * [taylor]: Taking taylor expansion of 1/2 in re 1.186 * [taylor]: Taking taylor expansion of (* re im) in re 1.186 * [taylor]: Taking taylor expansion of re in re 1.186 * [taylor]: Taking taylor expansion of im in re 1.186 * [taylor]: Taking taylor expansion of im in re 1.187 * [taylor]: Taking taylor expansion of (sqrt (exp re)) in re 1.187 * [taylor]: Taking taylor expansion of (exp re) in re 1.187 * [taylor]: Taking taylor expansion of re in re 1.188 * [taylor]: Taking taylor expansion of im in im 1.189 * [taylor]: Taking taylor expansion of im in im 1.192 * [taylor]: Taking taylor expansion of (* 1/2 im) in im 1.192 * [taylor]: Taking taylor expansion of 1/2 in im 1.192 * [taylor]: Taking taylor expansion of im in im 1.197 * [taylor]: Taking taylor expansion of (* 7/48 im) in im 1.197 * [taylor]: Taking taylor expansion of 7/48 in im 1.197 * [taylor]: Taking taylor expansion of im in im 1.198 * [approximate]: Taking taylor expansion of (* (sqrt (exp (/ 1 re))) (fma 1/8 (/ 1 (* (pow re 2) im)) (fma 1/2 (/ 1 (* re im)) (/ 1 im)))) in (re im) around 0 1.198 * [taylor]: Taking taylor expansion of (* (sqrt (exp (/ 1 re))) (fma 1/8 (/ 1 (* (pow re 2) im)) (fma 1/2 (/ 1 (* re im)) (/ 1 im)))) in im 1.198 * [taylor]: Taking taylor expansion of (sqrt (exp (/ 1 re))) in im 1.198 * [taylor]: Taking taylor expansion of (exp (/ 1 re)) in im 1.198 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.198 * [taylor]: Taking taylor expansion of re in im 1.199 * [taylor]: Taking taylor expansion of (fma 1/8 (/ 1 (* (pow re 2) im)) (fma 1/2 (/ 1 (* re im)) (/ 1 im))) in im 1.199 * [taylor]: Rewrote expression to (+ (* 1/8 (/ 1 (* (pow re 2) im))) (fma 1/2 (/ 1 (* re im)) (/ 1 im))) 1.199 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (* (pow re 2) im))) in im 1.199 * [taylor]: Taking taylor expansion of 1/8 in im 1.199 * [taylor]: Taking taylor expansion of (/ 1 (* (pow re 2) im)) in im 1.199 * [taylor]: Taking taylor expansion of (* (pow re 2) im) in im 1.199 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.199 * [taylor]: Taking taylor expansion of re in im 1.199 * [taylor]: Taking taylor expansion of im in im 1.200 * [taylor]: Taking taylor expansion of (fma 1/2 (/ 1 (* re im)) (/ 1 im)) in im 1.200 * [taylor]: Rewrote expression to (+ (* 1/2 (/ 1 (* re im))) (/ 1 im)) 1.200 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* re im))) in im 1.200 * [taylor]: Taking taylor expansion of 1/2 in im 1.200 * [taylor]: Taking taylor expansion of (/ 1 (* re im)) in im 1.200 * [taylor]: Taking taylor expansion of (* re im) in im 1.200 * [taylor]: Taking taylor expansion of re in im 1.200 * [taylor]: Taking taylor expansion of im in im 1.200 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.200 * [taylor]: Taking taylor expansion of im in im 1.200 * [taylor]: Taking taylor expansion of (* (sqrt (exp (/ 1 re))) (fma 1/8 (/ 1 (* (pow re 2) im)) (fma 1/2 (/ 1 (* re im)) (/ 1 im)))) in re 1.201 * [taylor]: Taking taylor expansion of (sqrt (exp (/ 1 re))) in re 1.201 * [taylor]: Taking taylor expansion of (exp (/ 1 re)) in re 1.201 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.201 * [taylor]: Taking taylor expansion of re in re 1.201 * [taylor]: Taking taylor expansion of (fma 1/8 (/ 1 (* (pow re 2) im)) (fma 1/2 (/ 1 (* re im)) (/ 1 im))) in re 1.201 * [taylor]: Rewrote expression to (+ (* 1/8 (/ 1 (* (pow re 2) im))) (fma 1/2 (/ 1 (* re im)) (/ 1 im))) 1.201 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (* (pow re 2) im))) in re 1.201 * [taylor]: Taking taylor expansion of 1/8 in re 1.201 * [taylor]: Taking taylor expansion of (/ 1 (* (pow re 2) im)) in re 1.201 * [taylor]: Taking taylor expansion of (* (pow re 2) im) in re 1.201 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.201 * [taylor]: Taking taylor expansion of re in re 1.201 * [taylor]: Taking taylor expansion of im in re 1.201 * [taylor]: Taking taylor expansion of (fma 1/2 (/ 1 (* re im)) (/ 1 im)) in re 1.202 * [taylor]: Rewrote expression to (+ (* 1/2 (/ 1 (* re im))) (/ 1 im)) 1.202 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* re im))) in re 1.202 * [taylor]: Taking taylor expansion of 1/2 in re 1.202 * [taylor]: Taking taylor expansion of (/ 1 (* re im)) in re 1.202 * [taylor]: Taking taylor expansion of (* re im) in re 1.202 * [taylor]: Taking taylor expansion of re in re 1.202 * [taylor]: Taking taylor expansion of im in re 1.202 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.202 * [taylor]: Taking taylor expansion of im in re 1.202 * [taylor]: Taking taylor expansion of (* (sqrt (exp (/ 1 re))) (fma 1/8 (/ 1 (* (pow re 2) im)) (fma 1/2 (/ 1 (* re im)) (/ 1 im)))) in re 1.202 * [taylor]: Taking taylor expansion of (sqrt (exp (/ 1 re))) in re 1.202 * [taylor]: Taking taylor expansion of (exp (/ 1 re)) in re 1.202 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.202 * [taylor]: Taking taylor expansion of re in re 1.203 * [taylor]: Taking taylor expansion of (fma 1/8 (/ 1 (* (pow re 2) im)) (fma 1/2 (/ 1 (* re im)) (/ 1 im))) in re 1.203 * [taylor]: Rewrote expression to (+ (* 1/8 (/ 1 (* (pow re 2) im))) (fma 1/2 (/ 1 (* re im)) (/ 1 im))) 1.203 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (* (pow re 2) im))) in re 1.203 * [taylor]: Taking taylor expansion of 1/8 in re 1.203 * [taylor]: Taking taylor expansion of (/ 1 (* (pow re 2) im)) in re 1.203 * [taylor]: Taking taylor expansion of (* (pow re 2) im) in re 1.203 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.203 * [taylor]: Taking taylor expansion of re in re 1.203 * [taylor]: Taking taylor expansion of im in re 1.203 * [taylor]: Taking taylor expansion of (fma 1/2 (/ 1 (* re im)) (/ 1 im)) in re 1.203 * [taylor]: Rewrote expression to (+ (* 1/2 (/ 1 (* re im))) (/ 1 im)) 1.203 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* re im))) in re 1.203 * [taylor]: Taking taylor expansion of 1/2 in re 1.203 * [taylor]: Taking taylor expansion of (/ 1 (* re im)) in re 1.203 * [taylor]: Taking taylor expansion of (* re im) in re 1.203 * [taylor]: Taking taylor expansion of re in re 1.203 * [taylor]: Taking taylor expansion of im in re 1.204 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.204 * [taylor]: Taking taylor expansion of im in re 1.204 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt (exp (/ 1 re))) (/ 1 im))) in im 1.204 * [taylor]: Taking taylor expansion of 1/8 in im 1.204 * [taylor]: Taking taylor expansion of (* (sqrt (exp (/ 1 re))) (/ 1 im)) in im 1.204 * [taylor]: Taking taylor expansion of (sqrt (exp (/ 1 re))) in im 1.204 * [taylor]: Taking taylor expansion of (exp (/ 1 re)) in im 1.204 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.204 * [taylor]: Taking taylor expansion of re in im 1.205 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.205 * [taylor]: Taking taylor expansion of im in im 1.206 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt (exp (/ 1 re))) (/ 1 im))) in im 1.206 * [taylor]: Taking taylor expansion of 1/2 in im 1.206 * [taylor]: Taking taylor expansion of (* (sqrt (exp (/ 1 re))) (/ 1 im)) in im 1.206 * [taylor]: Taking taylor expansion of (sqrt (exp (/ 1 re))) in im 1.206 * [taylor]: Taking taylor expansion of (exp (/ 1 re)) in im 1.206 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.206 * [taylor]: Taking taylor expansion of re in im 1.207 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.207 * [taylor]: Taking taylor expansion of im in im 1.211 * [taylor]: Taking taylor expansion of (* (sqrt (exp (/ 1 re))) (/ 1 im)) in im 1.211 * [taylor]: Taking taylor expansion of (sqrt (exp (/ 1 re))) in im 1.212 * [taylor]: Taking taylor expansion of (exp (/ 1 re)) in im 1.212 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.212 * [taylor]: Taking taylor expansion of re in im 1.212 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.212 * [taylor]: Taking taylor expansion of im in im 1.213 * [approximate]: Taking taylor expansion of (* (fma 1/8 (/ -1 (* (pow re 2) im)) (fma 1/2 (/ 1 (* re im)) (/ -1 im))) (sqrt (exp (/ -1 re)))) in (re im) around 0 1.213 * [taylor]: Taking taylor expansion of (* (fma 1/8 (/ -1 (* (pow re 2) im)) (fma 1/2 (/ 1 (* re im)) (/ -1 im))) (sqrt (exp (/ -1 re)))) in im 1.214 * [taylor]: Taking taylor expansion of (fma 1/8 (/ -1 (* (pow re 2) im)) (fma 1/2 (/ 1 (* re im)) (/ -1 im))) in im 1.214 * [taylor]: Rewrote expression to (+ (* 1/8 (/ -1 (* (pow re 2) im))) (fma 1/2 (/ 1 (* re im)) (/ -1 im))) 1.214 * [taylor]: Taking taylor expansion of (* 1/8 (/ -1 (* (pow re 2) im))) in im 1.214 * [taylor]: Taking taylor expansion of 1/8 in im 1.214 * [taylor]: Taking taylor expansion of (/ -1 (* (pow re 2) im)) in im 1.214 * [taylor]: Taking taylor expansion of -1 in im 1.214 * [taylor]: Taking taylor expansion of (* (pow re 2) im) in im 1.214 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.214 * [taylor]: Taking taylor expansion of re in im 1.214 * [taylor]: Taking taylor expansion of im in im 1.214 * [taylor]: Taking taylor expansion of (fma 1/2 (/ 1 (* re im)) (/ -1 im)) in im 1.214 * [taylor]: Rewrote expression to (+ (* 1/2 (/ 1 (* re im))) (/ -1 im)) 1.214 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* re im))) in im 1.214 * [taylor]: Taking taylor expansion of 1/2 in im 1.214 * [taylor]: Taking taylor expansion of (/ 1 (* re im)) in im 1.214 * [taylor]: Taking taylor expansion of (* re im) in im 1.214 * [taylor]: Taking taylor expansion of re in im 1.215 * [taylor]: Taking taylor expansion of im in im 1.215 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.215 * [taylor]: Taking taylor expansion of -1 in im 1.215 * [taylor]: Taking taylor expansion of im in im 1.215 * [taylor]: Taking taylor expansion of (sqrt (exp (/ -1 re))) in im 1.215 * [taylor]: Taking taylor expansion of (exp (/ -1 re)) in im 1.215 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.215 * [taylor]: Taking taylor expansion of -1 in im 1.215 * [taylor]: Taking taylor expansion of re in im 1.216 * [taylor]: Taking taylor expansion of (* (fma 1/8 (/ -1 (* (pow re 2) im)) (fma 1/2 (/ 1 (* re im)) (/ -1 im))) (sqrt (exp (/ -1 re)))) in re 1.216 * [taylor]: Taking taylor expansion of (fma 1/8 (/ -1 (* (pow re 2) im)) (fma 1/2 (/ 1 (* re im)) (/ -1 im))) in re 1.216 * [taylor]: Rewrote expression to (+ (* 1/8 (/ -1 (* (pow re 2) im))) (fma 1/2 (/ 1 (* re im)) (/ -1 im))) 1.216 * [taylor]: Taking taylor expansion of (* 1/8 (/ -1 (* (pow re 2) im))) in re 1.216 * [taylor]: Taking taylor expansion of 1/8 in re 1.216 * [taylor]: Taking taylor expansion of (/ -1 (* (pow re 2) im)) in re 1.216 * [taylor]: Taking taylor expansion of -1 in re 1.216 * [taylor]: Taking taylor expansion of (* (pow re 2) im) in re 1.216 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.216 * [taylor]: Taking taylor expansion of re in re 1.216 * [taylor]: Taking taylor expansion of im in re 1.216 * [taylor]: Taking taylor expansion of (fma 1/2 (/ 1 (* re im)) (/ -1 im)) in re 1.217 * [taylor]: Rewrote expression to (+ (* 1/2 (/ 1 (* re im))) (/ -1 im)) 1.217 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* re im))) in re 1.217 * [taylor]: Taking taylor expansion of 1/2 in re 1.217 * [taylor]: Taking taylor expansion of (/ 1 (* re im)) in re 1.217 * [taylor]: Taking taylor expansion of (* re im) in re 1.217 * [taylor]: Taking taylor expansion of re in re 1.217 * [taylor]: Taking taylor expansion of im in re 1.217 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.217 * [taylor]: Taking taylor expansion of -1 in re 1.217 * [taylor]: Taking taylor expansion of im in re 1.217 * [taylor]: Taking taylor expansion of (sqrt (exp (/ -1 re))) in re 1.217 * [taylor]: Taking taylor expansion of (exp (/ -1 re)) in re 1.217 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.217 * [taylor]: Taking taylor expansion of -1 in re 1.217 * [taylor]: Taking taylor expansion of re in re 1.218 * [taylor]: Taking taylor expansion of (* (fma 1/8 (/ -1 (* (pow re 2) im)) (fma 1/2 (/ 1 (* re im)) (/ -1 im))) (sqrt (exp (/ -1 re)))) in re 1.218 * [taylor]: Taking taylor expansion of (fma 1/8 (/ -1 (* (pow re 2) im)) (fma 1/2 (/ 1 (* re im)) (/ -1 im))) in re 1.218 * [taylor]: Rewrote expression to (+ (* 1/8 (/ -1 (* (pow re 2) im))) (fma 1/2 (/ 1 (* re im)) (/ -1 im))) 1.218 * [taylor]: Taking taylor expansion of (* 1/8 (/ -1 (* (pow re 2) im))) in re 1.218 * [taylor]: Taking taylor expansion of 1/8 in re 1.218 * [taylor]: Taking taylor expansion of (/ -1 (* (pow re 2) im)) in re 1.218 * [taylor]: Taking taylor expansion of -1 in re 1.218 * [taylor]: Taking taylor expansion of (* (pow re 2) im) in re 1.218 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.218 * [taylor]: Taking taylor expansion of re in re 1.218 * [taylor]: Taking taylor expansion of im in re 1.218 * [taylor]: Taking taylor expansion of (fma 1/2 (/ 1 (* re im)) (/ -1 im)) in re 1.218 * [taylor]: Rewrote expression to (+ (* 1/2 (/ 1 (* re im))) (/ -1 im)) 1.218 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* re im))) in re 1.218 * [taylor]: Taking taylor expansion of 1/2 in re 1.218 * [taylor]: Taking taylor expansion of (/ 1 (* re im)) in re 1.218 * [taylor]: Taking taylor expansion of (* re im) in re 1.218 * [taylor]: Taking taylor expansion of re in re 1.218 * [taylor]: Taking taylor expansion of im in re 1.219 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.219 * [taylor]: Taking taylor expansion of -1 in re 1.219 * [taylor]: Taking taylor expansion of im in re 1.219 * [taylor]: Taking taylor expansion of (sqrt (exp (/ -1 re))) in re 1.219 * [taylor]: Taking taylor expansion of (exp (/ -1 re)) in re 1.219 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.219 * [taylor]: Taking taylor expansion of -1 in re 1.219 * [taylor]: Taking taylor expansion of re in re 1.219 * [taylor]: Taking taylor expansion of (* -1/8 (* (sqrt (exp (/ -1 re))) (/ 1 im))) in im 1.219 * [taylor]: Taking taylor expansion of -1/8 in im 1.219 * [taylor]: Taking taylor expansion of (* (sqrt (exp (/ -1 re))) (/ 1 im)) in im 1.219 * [taylor]: Taking taylor expansion of (sqrt (exp (/ -1 re))) in im 1.219 * [taylor]: Taking taylor expansion of (exp (/ -1 re)) in im 1.220 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.220 * [taylor]: Taking taylor expansion of -1 in im 1.220 * [taylor]: Taking taylor expansion of re in im 1.220 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.220 * [taylor]: Taking taylor expansion of im in im 1.222 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt (exp (/ -1 re))) (/ 1 im))) in im 1.222 * [taylor]: Taking taylor expansion of 1/2 in im 1.222 * [taylor]: Taking taylor expansion of (* (sqrt (exp (/ -1 re))) (/ 1 im)) in im 1.222 * [taylor]: Taking taylor expansion of (sqrt (exp (/ -1 re))) in im 1.222 * [taylor]: Taking taylor expansion of (exp (/ -1 re)) in im 1.222 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.222 * [taylor]: Taking taylor expansion of -1 in im 1.222 * [taylor]: Taking taylor expansion of re in im 1.223 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.223 * [taylor]: Taking taylor expansion of im in im 1.227 * [taylor]: Taking taylor expansion of (- (* (sqrt (exp (/ -1 re))) (/ 1 im))) in im 1.227 * [taylor]: Taking taylor expansion of (* (sqrt (exp (/ -1 re))) (/ 1 im)) in im 1.227 * [taylor]: Taking taylor expansion of (sqrt (exp (/ -1 re))) in im 1.227 * [taylor]: Taking taylor expansion of (exp (/ -1 re)) in im 1.227 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.227 * [taylor]: Taking taylor expansion of -1 in im 1.227 * [taylor]: Taking taylor expansion of re in im 1.228 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.228 * [taylor]: Taking taylor expansion of im in im 1.229 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2) 1.229 * [approximate]: Taking taylor expansion of (* (pow re 2) im) in (re im) around 0 1.229 * [taylor]: Taking taylor expansion of (* (pow re 2) im) in im 1.229 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.229 * [taylor]: Taking taylor expansion of re in im 1.229 * [taylor]: Taking taylor expansion of im in im 1.229 * [taylor]: Taking taylor expansion of (* (pow re 2) im) in re 1.229 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.229 * [taylor]: Taking taylor expansion of re in re 1.229 * [taylor]: Taking taylor expansion of im in re 1.229 * [taylor]: Taking taylor expansion of (* (pow re 2) im) in re 1.229 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.229 * [taylor]: Taking taylor expansion of re in re 1.230 * [taylor]: Taking taylor expansion of im in re 1.230 * [taylor]: Taking taylor expansion of im in im 1.230 * [taylor]: Taking taylor expansion of 0 in im 1.231 * [taylor]: Taking taylor expansion of 0 in im 1.233 * [taylor]: Taking taylor expansion of 0 in im 1.233 * [approximate]: Taking taylor expansion of (/ 1 (* (pow re 2) im)) in (re im) around 0 1.233 * [taylor]: Taking taylor expansion of (/ 1 (* (pow re 2) im)) in im 1.233 * [taylor]: Taking taylor expansion of (* (pow re 2) im) in im 1.233 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.233 * [taylor]: Taking taylor expansion of re in im 1.233 * [taylor]: Taking taylor expansion of im in im 1.234 * [taylor]: Taking taylor expansion of (/ 1 (* (pow re 2) im)) in re 1.234 * [taylor]: Taking taylor expansion of (* (pow re 2) im) in re 1.234 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.234 * [taylor]: Taking taylor expansion of re in re 1.234 * [taylor]: Taking taylor expansion of im in re 1.234 * [taylor]: Taking taylor expansion of (/ 1 (* (pow re 2) im)) in re 1.234 * [taylor]: Taking taylor expansion of (* (pow re 2) im) in re 1.234 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.234 * [taylor]: Taking taylor expansion of re in re 1.234 * [taylor]: Taking taylor expansion of im in re 1.234 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.234 * [taylor]: Taking taylor expansion of im in im 1.238 * [taylor]: Taking taylor expansion of 0 in im 1.240 * [taylor]: Taking taylor expansion of 0 in im 1.242 * [taylor]: Taking taylor expansion of 0 in im 1.243 * [approximate]: Taking taylor expansion of (/ -1 (* (pow re 2) im)) in (re im) around 0 1.243 * [taylor]: Taking taylor expansion of (/ -1 (* (pow re 2) im)) in im 1.243 * [taylor]: Taking taylor expansion of -1 in im 1.243 * [taylor]: Taking taylor expansion of (* (pow re 2) im) in im 1.243 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.243 * [taylor]: Taking taylor expansion of re in im 1.243 * [taylor]: Taking taylor expansion of im in im 1.243 * [taylor]: Taking taylor expansion of (/ -1 (* (pow re 2) im)) in re 1.243 * [taylor]: Taking taylor expansion of -1 in re 1.243 * [taylor]: Taking taylor expansion of (* (pow re 2) im) in re 1.243 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.243 * [taylor]: Taking taylor expansion of re in re 1.243 * [taylor]: Taking taylor expansion of im in re 1.244 * [taylor]: Taking taylor expansion of (/ -1 (* (pow re 2) im)) in re 1.244 * [taylor]: Taking taylor expansion of -1 in re 1.244 * [taylor]: Taking taylor expansion of (* (pow re 2) im) in re 1.244 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.244 * [taylor]: Taking taylor expansion of re in re 1.244 * [taylor]: Taking taylor expansion of im in re 1.244 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.244 * [taylor]: Taking taylor expansion of -1 in im 1.244 * [taylor]: Taking taylor expansion of im in im 1.245 * [taylor]: Taking taylor expansion of 0 in im 1.247 * [taylor]: Taking taylor expansion of 0 in im 1.248 * [taylor]: Taking taylor expansion of 0 in im 1.249 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 1.249 * [approximate]: Taking taylor expansion of (fma 1/8 (* (pow re 2) im) (fma 1/2 (* re im) im)) in (re im) around 0 1.249 * [taylor]: Taking taylor expansion of (fma 1/8 (* (pow re 2) im) (fma 1/2 (* re im) im)) in im 1.250 * [taylor]: Rewrote expression to (+ (* 1/8 (* (pow re 2) im)) (fma 1/2 (* re im) im)) 1.250 * [taylor]: Taking taylor expansion of (* 1/8 (* (pow re 2) im)) in im 1.250 * [taylor]: Taking taylor expansion of 1/8 in im 1.250 * [taylor]: Taking taylor expansion of (* (pow re 2) im) in im 1.250 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.250 * [taylor]: Taking taylor expansion of re in im 1.250 * [taylor]: Taking taylor expansion of im in im 1.250 * [taylor]: Taking taylor expansion of (fma 1/2 (* re im) im) in im 1.250 * [taylor]: Rewrote expression to (+ (* 1/2 (* re im)) im) 1.250 * [taylor]: Taking taylor expansion of (* 1/2 (* re im)) in im 1.250 * [taylor]: Taking taylor expansion of 1/2 in im 1.250 * [taylor]: Taking taylor expansion of (* re im) in im 1.250 * [taylor]: Taking taylor expansion of re in im 1.250 * [taylor]: Taking taylor expansion of im in im 1.250 * [taylor]: Taking taylor expansion of im in im 1.250 * [taylor]: Taking taylor expansion of (fma 1/8 (* (pow re 2) im) (fma 1/2 (* re im) im)) in re 1.250 * [taylor]: Rewrote expression to (+ (* 1/8 (* (pow re 2) im)) (fma 1/2 (* re im) im)) 1.250 * [taylor]: Taking taylor expansion of (* 1/8 (* (pow re 2) im)) in re 1.250 * [taylor]: Taking taylor expansion of 1/8 in re 1.250 * [taylor]: Taking taylor expansion of (* (pow re 2) im) in re 1.250 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.250 * [taylor]: Taking taylor expansion of re in re 1.250 * [taylor]: Taking taylor expansion of im in re 1.250 * [taylor]: Taking taylor expansion of (fma 1/2 (* re im) im) in re 1.250 * [taylor]: Rewrote expression to (+ (* 1/2 (* re im)) im) 1.250 * [taylor]: Taking taylor expansion of (* 1/2 (* re im)) in re 1.250 * [taylor]: Taking taylor expansion of 1/2 in re 1.250 * [taylor]: Taking taylor expansion of (* re im) in re 1.250 * [taylor]: Taking taylor expansion of re in re 1.250 * [taylor]: Taking taylor expansion of im in re 1.250 * [taylor]: Taking taylor expansion of im in re 1.250 * [taylor]: Taking taylor expansion of (fma 1/8 (* (pow re 2) im) (fma 1/2 (* re im) im)) in re 1.250 * [taylor]: Rewrote expression to (+ (* 1/8 (* (pow re 2) im)) (fma 1/2 (* re im) im)) 1.251 * [taylor]: Taking taylor expansion of (* 1/8 (* (pow re 2) im)) in re 1.251 * [taylor]: Taking taylor expansion of 1/8 in re 1.251 * [taylor]: Taking taylor expansion of (* (pow re 2) im) in re 1.251 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.251 * [taylor]: Taking taylor expansion of re in re 1.251 * [taylor]: Taking taylor expansion of im in re 1.251 * [taylor]: Taking taylor expansion of (fma 1/2 (* re im) im) in re 1.251 * [taylor]: Rewrote expression to (+ (* 1/2 (* re im)) im) 1.251 * [taylor]: Taking taylor expansion of (* 1/2 (* re im)) in re 1.251 * [taylor]: Taking taylor expansion of 1/2 in re 1.251 * [taylor]: Taking taylor expansion of (* re im) in re 1.251 * [taylor]: Taking taylor expansion of re in re 1.251 * [taylor]: Taking taylor expansion of im in re 1.251 * [taylor]: Taking taylor expansion of im in re 1.251 * [taylor]: Taking taylor expansion of im in im 1.252 * [taylor]: Taking taylor expansion of (* 1/2 im) in im 1.252 * [taylor]: Taking taylor expansion of 1/2 in im 1.252 * [taylor]: Taking taylor expansion of im in im 1.254 * [taylor]: Taking taylor expansion of (* 1/8 im) in im 1.254 * [taylor]: Taking taylor expansion of 1/8 in im 1.254 * [taylor]: Taking taylor expansion of im in im 1.257 * [taylor]: Taking taylor expansion of 0 in im 1.258 * [approximate]: Taking taylor expansion of (fma 1/8 (/ 1 (* (pow re 2) im)) (fma 1/2 (/ 1 (* re im)) (/ 1 im))) in (re im) around 0 1.258 * [taylor]: Taking taylor expansion of (fma 1/8 (/ 1 (* (pow re 2) im)) (fma 1/2 (/ 1 (* re im)) (/ 1 im))) in im 1.258 * [taylor]: Rewrote expression to (+ (* 1/8 (/ 1 (* (pow re 2) im))) (fma 1/2 (/ 1 (* re im)) (/ 1 im))) 1.258 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (* (pow re 2) im))) in im 1.258 * [taylor]: Taking taylor expansion of 1/8 in im 1.258 * [taylor]: Taking taylor expansion of (/ 1 (* (pow re 2) im)) in im 1.258 * [taylor]: Taking taylor expansion of (* (pow re 2) im) in im 1.258 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.258 * [taylor]: Taking taylor expansion of re in im 1.258 * [taylor]: Taking taylor expansion of im in im 1.259 * [taylor]: Taking taylor expansion of (fma 1/2 (/ 1 (* re im)) (/ 1 im)) in im 1.259 * [taylor]: Rewrote expression to (+ (* 1/2 (/ 1 (* re im))) (/ 1 im)) 1.259 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* re im))) in im 1.259 * [taylor]: Taking taylor expansion of 1/2 in im 1.259 * [taylor]: Taking taylor expansion of (/ 1 (* re im)) in im 1.259 * [taylor]: Taking taylor expansion of (* re im) in im 1.259 * [taylor]: Taking taylor expansion of re in im 1.259 * [taylor]: Taking taylor expansion of im in im 1.260 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.260 * [taylor]: Taking taylor expansion of im in im 1.260 * [taylor]: Taking taylor expansion of (fma 1/8 (/ 1 (* (pow re 2) im)) (fma 1/2 (/ 1 (* re im)) (/ 1 im))) in re 1.260 * [taylor]: Rewrote expression to (+ (* 1/8 (/ 1 (* (pow re 2) im))) (fma 1/2 (/ 1 (* re im)) (/ 1 im))) 1.260 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (* (pow re 2) im))) in re 1.260 * [taylor]: Taking taylor expansion of 1/8 in re 1.260 * [taylor]: Taking taylor expansion of (/ 1 (* (pow re 2) im)) in re 1.260 * [taylor]: Taking taylor expansion of (* (pow re 2) im) in re 1.260 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.260 * [taylor]: Taking taylor expansion of re in re 1.260 * [taylor]: Taking taylor expansion of im in re 1.260 * [taylor]: Taking taylor expansion of (fma 1/2 (/ 1 (* re im)) (/ 1 im)) in re 1.261 * [taylor]: Rewrote expression to (+ (* 1/2 (/ 1 (* re im))) (/ 1 im)) 1.261 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* re im))) in re 1.261 * [taylor]: Taking taylor expansion of 1/2 in re 1.261 * [taylor]: Taking taylor expansion of (/ 1 (* re im)) in re 1.261 * [taylor]: Taking taylor expansion of (* re im) in re 1.261 * [taylor]: Taking taylor expansion of re in re 1.261 * [taylor]: Taking taylor expansion of im in re 1.261 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.261 * [taylor]: Taking taylor expansion of im in re 1.261 * [taylor]: Taking taylor expansion of (fma 1/8 (/ 1 (* (pow re 2) im)) (fma 1/2 (/ 1 (* re im)) (/ 1 im))) in re 1.261 * [taylor]: Rewrote expression to (+ (* 1/8 (/ 1 (* (pow re 2) im))) (fma 1/2 (/ 1 (* re im)) (/ 1 im))) 1.261 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (* (pow re 2) im))) in re 1.261 * [taylor]: Taking taylor expansion of 1/8 in re 1.261 * [taylor]: Taking taylor expansion of (/ 1 (* (pow re 2) im)) in re 1.261 * [taylor]: Taking taylor expansion of (* (pow re 2) im) in re 1.261 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.261 * [taylor]: Taking taylor expansion of re in re 1.261 * [taylor]: Taking taylor expansion of im in re 1.262 * [taylor]: Taking taylor expansion of (fma 1/2 (/ 1 (* re im)) (/ 1 im)) in re 1.262 * [taylor]: Rewrote expression to (+ (* 1/2 (/ 1 (* re im))) (/ 1 im)) 1.262 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* re im))) in re 1.262 * [taylor]: Taking taylor expansion of 1/2 in re 1.262 * [taylor]: Taking taylor expansion of (/ 1 (* re im)) in re 1.262 * [taylor]: Taking taylor expansion of (* re im) in re 1.262 * [taylor]: Taking taylor expansion of re in re 1.262 * [taylor]: Taking taylor expansion of im in re 1.262 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.262 * [taylor]: Taking taylor expansion of im in re 1.262 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 im)) in im 1.262 * [taylor]: Taking taylor expansion of 1/8 in im 1.262 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.262 * [taylor]: Taking taylor expansion of im in im 1.264 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 1.264 * [taylor]: Taking taylor expansion of 1/2 in im 1.264 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.264 * [taylor]: Taking taylor expansion of im in im 1.268 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.268 * [taylor]: Taking taylor expansion of im in im 1.269 * [approximate]: Taking taylor expansion of (fma 1/8 (/ -1 (* (pow re 2) im)) (fma 1/2 (/ 1 (* re im)) (/ -1 im))) in (re im) around 0 1.269 * [taylor]: Taking taylor expansion of (fma 1/8 (/ -1 (* (pow re 2) im)) (fma 1/2 (/ 1 (* re im)) (/ -1 im))) in im 1.269 * [taylor]: Rewrote expression to (+ (* 1/8 (/ -1 (* (pow re 2) im))) (fma 1/2 (/ 1 (* re im)) (/ -1 im))) 1.269 * [taylor]: Taking taylor expansion of (* 1/8 (/ -1 (* (pow re 2) im))) in im 1.269 * [taylor]: Taking taylor expansion of 1/8 in im 1.269 * [taylor]: Taking taylor expansion of (/ -1 (* (pow re 2) im)) in im 1.269 * [taylor]: Taking taylor expansion of -1 in im 1.269 * [taylor]: Taking taylor expansion of (* (pow re 2) im) in im 1.269 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.269 * [taylor]: Taking taylor expansion of re in im 1.269 * [taylor]: Taking taylor expansion of im in im 1.269 * [taylor]: Taking taylor expansion of (fma 1/2 (/ 1 (* re im)) (/ -1 im)) in im 1.269 * [taylor]: Rewrote expression to (+ (* 1/2 (/ 1 (* re im))) (/ -1 im)) 1.269 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* re im))) in im 1.270 * [taylor]: Taking taylor expansion of 1/2 in im 1.270 * [taylor]: Taking taylor expansion of (/ 1 (* re im)) in im 1.270 * [taylor]: Taking taylor expansion of (* re im) in im 1.270 * [taylor]: Taking taylor expansion of re in im 1.270 * [taylor]: Taking taylor expansion of im in im 1.270 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.270 * [taylor]: Taking taylor expansion of -1 in im 1.270 * [taylor]: Taking taylor expansion of im in im 1.270 * [taylor]: Taking taylor expansion of (fma 1/8 (/ -1 (* (pow re 2) im)) (fma 1/2 (/ 1 (* re im)) (/ -1 im))) in re 1.270 * [taylor]: Rewrote expression to (+ (* 1/8 (/ -1 (* (pow re 2) im))) (fma 1/2 (/ 1 (* re im)) (/ -1 im))) 1.270 * [taylor]: Taking taylor expansion of (* 1/8 (/ -1 (* (pow re 2) im))) in re 1.270 * [taylor]: Taking taylor expansion of 1/8 in re 1.270 * [taylor]: Taking taylor expansion of (/ -1 (* (pow re 2) im)) in re 1.270 * [taylor]: Taking taylor expansion of -1 in re 1.270 * [taylor]: Taking taylor expansion of (* (pow re 2) im) in re 1.270 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.270 * [taylor]: Taking taylor expansion of re in re 1.270 * [taylor]: Taking taylor expansion of im in re 1.271 * [taylor]: Taking taylor expansion of (fma 1/2 (/ 1 (* re im)) (/ -1 im)) in re 1.271 * [taylor]: Rewrote expression to (+ (* 1/2 (/ 1 (* re im))) (/ -1 im)) 1.271 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* re im))) in re 1.271 * [taylor]: Taking taylor expansion of 1/2 in re 1.271 * [taylor]: Taking taylor expansion of (/ 1 (* re im)) in re 1.271 * [taylor]: Taking taylor expansion of (* re im) in re 1.271 * [taylor]: Taking taylor expansion of re in re 1.271 * [taylor]: Taking taylor expansion of im in re 1.271 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.271 * [taylor]: Taking taylor expansion of -1 in re 1.271 * [taylor]: Taking taylor expansion of im in re 1.271 * [taylor]: Taking taylor expansion of (fma 1/8 (/ -1 (* (pow re 2) im)) (fma 1/2 (/ 1 (* re im)) (/ -1 im))) in re 1.271 * [taylor]: Rewrote expression to (+ (* 1/8 (/ -1 (* (pow re 2) im))) (fma 1/2 (/ 1 (* re im)) (/ -1 im))) 1.272 * [taylor]: Taking taylor expansion of (* 1/8 (/ -1 (* (pow re 2) im))) in re 1.272 * [taylor]: Taking taylor expansion of 1/8 in re 1.272 * [taylor]: Taking taylor expansion of (/ -1 (* (pow re 2) im)) in re 1.272 * [taylor]: Taking taylor expansion of -1 in re 1.272 * [taylor]: Taking taylor expansion of (* (pow re 2) im) in re 1.272 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.272 * [taylor]: Taking taylor expansion of re in re 1.272 * [taylor]: Taking taylor expansion of im in re 1.272 * [taylor]: Taking taylor expansion of (fma 1/2 (/ 1 (* re im)) (/ -1 im)) in re 1.272 * [taylor]: Rewrote expression to (+ (* 1/2 (/ 1 (* re im))) (/ -1 im)) 1.272 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* re im))) in re 1.272 * [taylor]: Taking taylor expansion of 1/2 in re 1.272 * [taylor]: Taking taylor expansion of (/ 1 (* re im)) in re 1.272 * [taylor]: Taking taylor expansion of (* re im) in re 1.272 * [taylor]: Taking taylor expansion of re in re 1.272 * [taylor]: Taking taylor expansion of im in re 1.272 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.272 * [taylor]: Taking taylor expansion of -1 in re 1.272 * [taylor]: Taking taylor expansion of im in re 1.273 * [taylor]: Taking taylor expansion of (- (* 1/8 (/ 1 im))) in im 1.273 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 im)) in im 1.273 * [taylor]: Taking taylor expansion of 1/8 in im 1.273 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.273 * [taylor]: Taking taylor expansion of im in im 1.274 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 1.274 * [taylor]: Taking taylor expansion of 1/2 in im 1.275 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.275 * [taylor]: Taking taylor expansion of im in im 1.278 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 1.278 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.279 * [taylor]: Taking taylor expansion of im in im 1.279 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 3) 1.280 * [approximate]: Taking taylor expansion of (fma 1/2 (* re im) im) in (re im) around 0 1.280 * [taylor]: Taking taylor expansion of (fma 1/2 (* re im) im) in im 1.280 * [taylor]: Rewrote expression to (+ (* 1/2 (* re im)) im) 1.280 * [taylor]: Taking taylor expansion of (* 1/2 (* re im)) in im 1.280 * [taylor]: Taking taylor expansion of 1/2 in im 1.280 * [taylor]: Taking taylor expansion of (* re im) in im 1.280 * [taylor]: Taking taylor expansion of re in im 1.280 * [taylor]: Taking taylor expansion of im in im 1.280 * [taylor]: Taking taylor expansion of im in im 1.280 * [taylor]: Taking taylor expansion of (fma 1/2 (* re im) im) in re 1.280 * [taylor]: Rewrote expression to (+ (* 1/2 (* re im)) im) 1.280 * [taylor]: Taking taylor expansion of (* 1/2 (* re im)) in re 1.280 * [taylor]: Taking taylor expansion of 1/2 in re 1.280 * [taylor]: Taking taylor expansion of (* re im) in re 1.280 * [taylor]: Taking taylor expansion of re in re 1.280 * [taylor]: Taking taylor expansion of im in re 1.280 * [taylor]: Taking taylor expansion of im in re 1.280 * [taylor]: Taking taylor expansion of (fma 1/2 (* re im) im) in re 1.280 * [taylor]: Rewrote expression to (+ (* 1/2 (* re im)) im) 1.280 * [taylor]: Taking taylor expansion of (* 1/2 (* re im)) in re 1.280 * [taylor]: Taking taylor expansion of 1/2 in re 1.280 * [taylor]: Taking taylor expansion of (* re im) in re 1.280 * [taylor]: Taking taylor expansion of re in re 1.280 * [taylor]: Taking taylor expansion of im in re 1.280 * [taylor]: Taking taylor expansion of im in re 1.281 * [taylor]: Taking taylor expansion of im in im 1.281 * [taylor]: Taking taylor expansion of (* 1/2 im) in im 1.281 * [taylor]: Taking taylor expansion of 1/2 in im 1.281 * [taylor]: Taking taylor expansion of im in im 1.283 * [taylor]: Taking taylor expansion of 0 in im 1.285 * [taylor]: Taking taylor expansion of 0 in im 1.287 * [taylor]: Taking taylor expansion of 0 in im 1.288 * [approximate]: Taking taylor expansion of (fma 1/2 (/ 1 (* re im)) (/ 1 im)) in (re im) around 0 1.288 * [taylor]: Taking taylor expansion of (fma 1/2 (/ 1 (* re im)) (/ 1 im)) in im 1.288 * [taylor]: Rewrote expression to (+ (* 1/2 (/ 1 (* re im))) (/ 1 im)) 1.288 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* re im))) in im 1.288 * [taylor]: Taking taylor expansion of 1/2 in im 1.288 * [taylor]: Taking taylor expansion of (/ 1 (* re im)) in im 1.288 * [taylor]: Taking taylor expansion of (* re im) in im 1.288 * [taylor]: Taking taylor expansion of re in im 1.288 * [taylor]: Taking taylor expansion of im in im 1.288 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.288 * [taylor]: Taking taylor expansion of im in im 1.289 * [taylor]: Taking taylor expansion of (fma 1/2 (/ 1 (* re im)) (/ 1 im)) in re 1.289 * [taylor]: Rewrote expression to (+ (* 1/2 (/ 1 (* re im))) (/ 1 im)) 1.289 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* re im))) in re 1.289 * [taylor]: Taking taylor expansion of 1/2 in re 1.289 * [taylor]: Taking taylor expansion of (/ 1 (* re im)) in re 1.289 * [taylor]: Taking taylor expansion of (* re im) in re 1.289 * [taylor]: Taking taylor expansion of re in re 1.289 * [taylor]: Taking taylor expansion of im in re 1.289 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.289 * [taylor]: Taking taylor expansion of im in re 1.289 * [taylor]: Taking taylor expansion of (fma 1/2 (/ 1 (* re im)) (/ 1 im)) in re 1.289 * [taylor]: Rewrote expression to (+ (* 1/2 (/ 1 (* re im))) (/ 1 im)) 1.289 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* re im))) in re 1.289 * [taylor]: Taking taylor expansion of 1/2 in re 1.289 * [taylor]: Taking taylor expansion of (/ 1 (* re im)) in re 1.289 * [taylor]: Taking taylor expansion of (* re im) in re 1.289 * [taylor]: Taking taylor expansion of re in re 1.289 * [taylor]: Taking taylor expansion of im in re 1.290 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.290 * [taylor]: Taking taylor expansion of im in re 1.290 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 1.290 * [taylor]: Taking taylor expansion of 1/2 in im 1.290 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.290 * [taylor]: Taking taylor expansion of im in im 1.291 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.291 * [taylor]: Taking taylor expansion of im in im 1.294 * [taylor]: Taking taylor expansion of 0 in im 1.297 * [taylor]: Taking taylor expansion of 0 in im 1.299 * [approximate]: Taking taylor expansion of (fma 1/2 (/ 1 (* re im)) (/ -1 im)) in (re im) around 0 1.299 * [taylor]: Taking taylor expansion of (fma 1/2 (/ 1 (* re im)) (/ -1 im)) in im 1.299 * [taylor]: Rewrote expression to (+ (* 1/2 (/ 1 (* re im))) (/ -1 im)) 1.299 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* re im))) in im 1.299 * [taylor]: Taking taylor expansion of 1/2 in im 1.299 * [taylor]: Taking taylor expansion of (/ 1 (* re im)) in im 1.299 * [taylor]: Taking taylor expansion of (* re im) in im 1.299 * [taylor]: Taking taylor expansion of re in im 1.299 * [taylor]: Taking taylor expansion of im in im 1.300 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.300 * [taylor]: Taking taylor expansion of -1 in im 1.300 * [taylor]: Taking taylor expansion of im in im 1.300 * [taylor]: Taking taylor expansion of (fma 1/2 (/ 1 (* re im)) (/ -1 im)) in re 1.300 * [taylor]: Rewrote expression to (+ (* 1/2 (/ 1 (* re im))) (/ -1 im)) 1.300 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* re im))) in re 1.300 * [taylor]: Taking taylor expansion of 1/2 in re 1.300 * [taylor]: Taking taylor expansion of (/ 1 (* re im)) in re 1.300 * [taylor]: Taking taylor expansion of (* re im) in re 1.300 * [taylor]: Taking taylor expansion of re in re 1.300 * [taylor]: Taking taylor expansion of im in re 1.300 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.300 * [taylor]: Taking taylor expansion of -1 in re 1.301 * [taylor]: Taking taylor expansion of im in re 1.301 * [taylor]: Taking taylor expansion of (fma 1/2 (/ 1 (* re im)) (/ -1 im)) in re 1.301 * [taylor]: Rewrote expression to (+ (* 1/2 (/ 1 (* re im))) (/ -1 im)) 1.301 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* re im))) in re 1.301 * [taylor]: Taking taylor expansion of 1/2 in re 1.301 * [taylor]: Taking taylor expansion of (/ 1 (* re im)) in re 1.301 * [taylor]: Taking taylor expansion of (* re im) in re 1.301 * [taylor]: Taking taylor expansion of re in re 1.301 * [taylor]: Taking taylor expansion of im in re 1.301 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.301 * [taylor]: Taking taylor expansion of -1 in re 1.301 * [taylor]: Taking taylor expansion of im in re 1.301 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 1.301 * [taylor]: Taking taylor expansion of 1/2 in im 1.301 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.301 * [taylor]: Taking taylor expansion of im in im 1.303 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 1.303 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.303 * [taylor]: Taking taylor expansion of im in im 1.305 * [taylor]: Taking taylor expansion of 0 in im 1.309 * [taylor]: Taking taylor expansion of 0 in im 1.311 * * * [progress]: simplifying candidates 1.312 * [simplify]: Simplifying using # : (expm1 (* (sqrt (exp re)) (fma 1/8 (* (pow re 2) im) (fma 1/2 (* re im) im)))) (log1p (* (sqrt (exp re)) (fma 1/8 (* (pow re 2) im) (fma 1/2 (* re im) im)))) (* (sqrt (exp re)) (fma 1/8 (* (pow re 2) im) (fma 1/2 (* re im) im))) (+ (log (sqrt (exp re))) (log (fma 1/8 (* (pow re 2) im) (fma 1/2 (* re im) im)))) (log (* (sqrt (exp re)) (fma 1/8 (* (pow re 2) im) (fma 1/2 (* re im) im)))) (exp (* (sqrt (exp re)) (fma 1/8 (* (pow re 2) im) (fma 1/2 (* re im) im)))) (* (* (* (sqrt (exp re)) (sqrt (exp re))) (sqrt (exp re))) (* (* (fma 1/8 (* (pow re 2) im) (fma 1/2 (* re im) im)) (fma 1/8 (* (pow re 2) im) (fma 1/2 (* re im) im))) (fma 1/8 (* (pow re 2) im) (fma 1/2 (* re im) im)))) (* (cbrt (* (sqrt (exp re)) (fma 1/8 (* (pow re 2) im) (fma 1/2 (* re im) im)))) (cbrt (* (sqrt (exp re)) (fma 1/8 (* (pow re 2) im) (fma 1/2 (* re im) im))))) (cbrt (* (sqrt (exp re)) (fma 1/8 (* (pow re 2) im) (fma 1/2 (* re im) im)))) (* (* (* (sqrt (exp re)) (fma 1/8 (* (pow re 2) im) (fma 1/2 (* re im) im))) (* (sqrt (exp re)) (fma 1/8 (* (pow re 2) im) (fma 1/2 (* re im) im)))) (* (sqrt (exp re)) (fma 1/8 (* (pow re 2) im) (fma 1/2 (* re im) im)))) (sqrt (* (sqrt (exp re)) (fma 1/8 (* (pow re 2) im) (fma 1/2 (* re im) im)))) (sqrt (* (sqrt (exp re)) (fma 1/8 (* (pow re 2) im) (fma 1/2 (* re im) im)))) (* (sqrt (sqrt (exp re))) (sqrt (fma 1/8 (* (pow re 2) im) (fma 1/2 (* re im) im)))) (* (sqrt (sqrt (exp re))) (sqrt (fma 1/8 (* (pow re 2) im) (fma 1/2 (* re im) im)))) (* (sqrt (sqrt (exp re))) (sqrt (fma 1/8 (* (pow re 2) im) (fma 1/2 (* re im) im)))) (* (sqrt (sqrt (exp re))) (sqrt (fma 1/8 (* (pow re 2) im) (fma 1/2 (* re im) im)))) (* (sqrt (exp re)) (* 1/8 (* (pow re 2) im))) (* (sqrt (exp re)) (fma 1/2 (* re im) im)) (* (* 1/8 (* (pow re 2) im)) (sqrt (exp re))) (* (fma 1/2 (* re im) im) (sqrt (exp re))) (* (sqrt (exp re)) (* (cbrt (fma 1/8 (* (pow re 2) im) (fma 1/2 (* re im) im))) (cbrt (fma 1/8 (* (pow re 2) im) (fma 1/2 (* re im) im))))) (* (sqrt (exp re)) (sqrt (fma 1/8 (* (pow re 2) im) (fma 1/2 (* re im) im)))) (* (sqrt (exp re)) 1) (* (cbrt (sqrt (exp re))) (fma 1/8 (* (pow re 2) im) (fma 1/2 (* re im) im))) (* (sqrt (cbrt (exp re))) (fma 1/8 (* (pow re 2) im) (fma 1/2 (* re im) im))) (* (sqrt (sqrt (exp re))) (fma 1/8 (* (pow re 2) im) (fma 1/2 (* re im) im))) (* (sqrt (exp re)) (fma 1/8 (* (pow re 2) im) (fma 1/2 (* re im) im))) (* (sqrt (sqrt (exp re))) (fma 1/8 (* (pow re 2) im) (fma 1/2 (* re im) im))) (* (sqrt (exp re)) (fma 1/8 (* (pow re 2) im) (fma 1/2 (* re im) im))) (expm1 (* (pow re 2) im)) (log1p (* (pow re 2) im)) (+ (* (log re) 2) (log im)) (+ (* (log re) 2) (log im)) (+ (log (pow re 2)) (log im)) (log (* (pow re 2) im)) (exp (* (pow re 2) im)) (* (* (* (pow re 2) (pow re 2)) (pow re 2)) (* (* im im) im)) (* (cbrt (* (pow re 2) im)) (cbrt (* (pow re 2) im))) (cbrt (* (pow re 2) im)) (* (* (* (pow re 2) im) (* (pow re 2) im)) (* (pow re 2) im)) (sqrt (* (pow re 2) im)) (sqrt (* (pow re 2) im)) (* (pow (sqrt re) 2) (sqrt im)) (* (pow (sqrt re) 2) (sqrt im)) (* re (sqrt im)) (* re (sqrt im)) (* (sqrt (pow re 2)) (sqrt im)) (* (sqrt (pow re 2)) (sqrt im)) (* (pow re (/ 2 2)) (sqrt im)) (* (pow re (/ 2 2)) (sqrt im)) (* (pow re 2) (* (cbrt im) (cbrt im))) (* (pow re 2) (sqrt im)) (* (pow re 2) 1) (* (pow (cbrt re) 2) im) (* (pow (sqrt re) 2) im) (* (pow re 2) im) (* re im) (* (cbrt (pow re 2)) im) (* (sqrt (pow re 2)) im) (* (pow re 2) im) (* (pow re (/ 2 2)) im) (expm1 (fma 1/8 (* (pow re 2) im) (fma 1/2 (* re im) im))) (log1p (fma 1/8 (* (pow re 2) im) (fma 1/2 (* re im) im))) (* 1/8 (* (pow re 2) im)) (log (fma 1/8 (* (pow re 2) im) (fma 1/2 (* re im) im))) (exp (fma 1/8 (* (pow re 2) im) (fma 1/2 (* re im) im))) (* (cbrt (fma 1/8 (* (pow re 2) im) (fma 1/2 (* re im) im))) (cbrt (fma 1/8 (* (pow re 2) im) (fma 1/2 (* re im) im)))) (cbrt (fma 1/8 (* (pow re 2) im) (fma 1/2 (* re im) im))) (* (* (fma 1/8 (* (pow re 2) im) (fma 1/2 (* re im) im)) (fma 1/8 (* (pow re 2) im) (fma 1/2 (* re im) im))) (fma 1/8 (* (pow re 2) im) (fma 1/2 (* re im) im))) (sqrt (fma 1/8 (* (pow re 2) im) (fma 1/2 (* re im) im))) (sqrt (fma 1/8 (* (pow re 2) im) (fma 1/2 (* re im) im))) (expm1 (fma 1/2 (* re im) im)) (log1p (fma 1/2 (* re im) im)) (* 1/2 (* re im)) (log (fma 1/2 (* re im) im)) (exp (fma 1/2 (* re im) im)) (* (cbrt (fma 1/2 (* re im) im)) (cbrt (fma 1/2 (* re im) im))) (cbrt (fma 1/2 (* re im) im)) (* (* (fma 1/2 (* re im) im) (fma 1/2 (* re im) im)) (fma 1/2 (* re im) im)) (sqrt (fma 1/2 (* re im) im)) (sqrt (fma 1/2 (* re im) im)) (+ (* 1/2 (* (pow re 2) im)) (+ (* re im) im)) (+ (* 1/2 (* (* re im) (sqrt (exp re)))) (+ (* 1/8 (* (* (pow re 2) im) (sqrt (exp re)))) (* im (sqrt (exp re))))) (+ (* 1/2 (* (* re im) (sqrt (exp re)))) (+ (* 1/8 (* (* (pow re 2) im) (sqrt (exp re)))) (* im (sqrt (exp re))))) (* (pow re 2) im) (* (pow re 2) im) (* (pow re 2) im) (+ (* 1/8 (* (pow re 2) im)) (+ (* 1/2 (* re im)) im)) (+ (* 1/8 (* (pow re 2) im)) (+ (* 1/2 (* re im)) im)) (+ (* 1/8 (* (pow re 2) im)) (+ (* 1/2 (* re im)) im)) (+ (* 1/2 (* re im)) im) (+ (* 1/2 (* re im)) im) (+ (* 1/2 (* re im)) im) 1.317 * * [simplify]: iteration 0 : 239 enodes (cost 558 ) 1.322 * * [simplify]: iteration 1 : 1016 enodes (cost 490 ) 1.345 * * [simplify]: iteration 2 : 5001 enodes (cost 490 ) 1.348 * [simplify]: Simplified to: (expm1 (* (sqrt (exp re)) (fma 1/8 (* (pow re 2) im) (fma 1/2 (* re im) im)))) (log1p (* (sqrt (exp re)) (fma 1/8 (* (pow re 2) im) (fma 1/2 (* re im) im)))) (* (sqrt (exp re)) (fma 1/8 (* (pow re 2) im) (fma 1/2 (* re im) im))) (log (* (sqrt (exp re)) (fma 1/8 (* (pow re 2) im) (fma 1/2 (* re im) im)))) (log (* (sqrt (exp re)) (fma 1/8 (* (pow re 2) im) (fma 1/2 (* re im) im)))) (exp (* (sqrt (exp re)) (fma 1/8 (* (pow re 2) im) (fma 1/2 (* re im) im)))) (pow (* (sqrt (exp re)) (fma 1/8 (* (pow re 2) im) (fma 1/2 (* re im) im))) 3) (* (cbrt (* (sqrt (exp re)) (fma 1/8 (* (pow re 2) im) (fma 1/2 (* re im) im)))) (cbrt (* (sqrt (exp re)) (fma 1/8 (* (pow re 2) im) (fma 1/2 (* re im) im))))) (cbrt (* (sqrt (exp re)) (fma 1/8 (* (pow re 2) im) (fma 1/2 (* re im) im)))) (pow (* (sqrt (exp re)) (fma 1/8 (* (pow re 2) im) (fma 1/2 (* re im) im))) 3) (sqrt (* (sqrt (exp re)) (fma 1/8 (* (pow re 2) im) (fma 1/2 (* re im) im)))) (sqrt (* (sqrt (exp re)) (fma 1/8 (* (pow re 2) im) (fma 1/2 (* re im) im)))) (* (sqrt (sqrt (exp re))) (sqrt (fma 1/8 (* (pow re 2) im) (fma 1/2 (* re im) im)))) (* (sqrt (sqrt (exp re))) (sqrt (fma 1/8 (* (pow re 2) im) (fma 1/2 (* re im) im)))) (* (sqrt (sqrt (exp re))) (sqrt (fma 1/8 (* (pow re 2) im) (fma 1/2 (* re im) im)))) (* (sqrt (sqrt (exp re))) (sqrt (fma 1/8 (* (pow re 2) im) (fma 1/2 (* re im) im)))) (* (sqrt (exp re)) (* 1/8 (* (pow re 2) im))) (* (sqrt (exp re)) (fma 1/2 (* re im) im)) (* (sqrt (exp re)) (* 1/8 (* (pow re 2) im))) (* (sqrt (exp re)) (fma 1/2 (* re im) im)) (* (sqrt (exp re)) (* (cbrt (fma 1/8 (* (pow re 2) im) (fma 1/2 (* re im) im))) (cbrt (fma 1/8 (* (pow re 2) im) (fma 1/2 (* re im) im))))) (* (sqrt (exp re)) (sqrt (fma 1/8 (* (pow re 2) im) (fma 1/2 (* re im) im)))) (sqrt (exp re)) (* (cbrt (sqrt (exp re))) (fma 1/8 (* (pow re 2) im) (fma 1/2 (* re im) im))) (* (sqrt (cbrt (exp re))) (fma 1/8 (* (pow re 2) im) (fma 1/2 (* re im) im))) (* (sqrt (sqrt (exp re))) (fma 1/8 (* (pow re 2) im) (fma 1/2 (* re im) im))) (* (sqrt (exp re)) (fma 1/8 (* (pow re 2) im) (fma 1/2 (* re im) im))) (* (sqrt (sqrt (exp re))) (fma 1/8 (* (pow re 2) im) (fma 1/2 (* re im) im))) (* (sqrt (exp re)) (fma 1/8 (* (pow re 2) im) (fma 1/2 (* re im) im))) (expm1 (* (pow re 2) im)) (log1p (* (pow re 2) im)) (log (* (pow re 2) im)) (log (* (pow re 2) im)) (log (* (pow re 2) im)) (log (* (pow re 2) im)) (exp (* (pow re 2) im)) (pow (* (pow re 2) im) 3) (* (cbrt (* (pow re 2) im)) (cbrt (* (pow re 2) im))) (cbrt (* (pow re 2) im)) (pow (* (pow re 2) im) 3) (sqrt (* (pow re 2) im)) (sqrt (* (pow re 2) im)) (* (sqrt im) re) (* (sqrt im) re) (* (sqrt im) re) (* (sqrt im) re) (* (sqrt (pow re 2)) (sqrt im)) (* (sqrt (pow re 2)) (sqrt im)) (* (sqrt im) re) (* (sqrt im) re) (* (pow re 2) (* (cbrt im) (cbrt im))) (* (pow re 2) (sqrt im)) (pow re 2) (* (pow (cbrt re) 2) im) (* im re) (* (pow re 2) im) (* im re) (* (cbrt (pow re 2)) im) (* (sqrt (pow re 2)) im) (* (pow re 2) im) (* im re) (expm1 (fma 1/8 (* (pow re 2) im) (fma 1/2 (* re im) im))) (log1p (fma 1/8 (* (pow re 2) im) (fma 1/2 (* re im) im))) (* 1/8 (* (pow re 2) im)) (log (fma 1/8 (* (pow re 2) im) (fma 1/2 (* re im) im))) (exp (fma 1/8 (* (pow re 2) im) (fma 1/2 (* re im) im))) (* (cbrt (fma 1/8 (* (pow re 2) im) (fma 1/2 (* re im) im))) (cbrt (fma 1/8 (* (pow re 2) im) (fma 1/2 (* re im) im)))) (cbrt (fma 1/8 (* (pow re 2) im) (fma 1/2 (* re im) im))) (pow (fma 1/8 (* (pow re 2) im) (fma 1/2 (* re im) im)) 3) (sqrt (fma 1/8 (* (pow re 2) im) (fma 1/2 (* re im) im))) (sqrt (fma 1/8 (* (pow re 2) im) (fma 1/2 (* re im) im))) (expm1 (fma 1/2 (* re im) im)) (log1p (fma 1/2 (* re im) im)) (* 1/2 (* re im)) (log (fma 1/2 (* re im) im)) (exp (fma 1/2 (* re im) im)) (* (cbrt (fma 1/2 (* re im) im)) (cbrt (fma 1/2 (* re im) im))) (cbrt (fma 1/2 (* re im) im)) (pow (fma 1/2 (* re im) im) 3) (sqrt (fma 1/2 (* re im) im)) (sqrt (fma 1/2 (* re im) im)) (fma 1/2 (* (pow re 2) im) (fma re im im)) (* (sqrt (exp re)) (fma 1/8 (* (pow re 2) im) (fma 1/2 (* re im) im))) (* (sqrt (exp re)) (fma 1/8 (* (pow re 2) im) (fma 1/2 (* re im) im))) (* (pow re 2) im) (* (pow re 2) im) (* (pow re 2) im) (fma 1/8 (* (pow re 2) im) (fma 1/2 (* re im) im)) (fma 1/8 (* (pow re 2) im) (fma 1/2 (* re im) im)) (fma 1/8 (* (pow re 2) im) (fma 1/2 (* re im) im)) (fma 1/2 (* re im) im) (fma 1/2 (* re im) im) (fma 1/2 (* re im) im) 1.349 * * * [progress]: adding candidates to table 1.575 * [progress]: [Phase 3 of 3] Extracting. 1.575 * * [regime]: Finding splitpoints for: (# # # #) 1.575 * * * [regime-changes]: Trying 5 branch expressions: ((sin im) (exp re) (* (exp re) (sin im)) im re) 1.575 * * * * [regimes]: Trying to branch on (sin im) from (# # # #) 1.598 * * * * [regimes]: Trying to branch on (exp re) from (# # # #) 1.617 * * * * [regimes]: Trying to branch on (* (exp re) (sin im)) from (# # # #) 1.642 * * * * [regimes]: Trying to branch on im from (# # # #) 1.660 * * * * [regimes]: Trying to branch on re from (# # # #) 1.679 * * * [regime]: Found split indices: #