5.721 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.039 * * * [progress]: [2/2] Setting up program. 0.041 * [progress]: [Phase 2 of 3] Improving. 0.041 * [simplify]: Simplifying using # : (* (exp re) (cos im)) 0.041 * [simplify]: Sending expressions to egg_math: (* (exp h0) (cos h1)) 0.043 * * [simplify]: iteration 0 : 6 enodes (cost 3 ) 0.045 * * [simplify]: iteration 1 : 6 enodes (cost 3 ) 0.045 * [simplify]: Simplified to: (* (exp re) (cos im)) 0.045 * * [progress]: iteration 1 / 4 0.045 * * * [progress]: picking best candidate 0.046 * * * * [pick]: Picked # 0.047 * * * [progress]: localizing error 0.052 * * * [progress]: generating rewritten candidates 0.052 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.067 * * * [progress]: generating series expansions 0.067 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.067 * [approximate]: Taking taylor expansion of (* (cos im) (exp re)) in (re im) around 0 0.067 * [taylor]: Taking taylor expansion of (* (cos im) (exp re)) in im 0.067 * [taylor]: Taking taylor expansion of (cos im) in im 0.067 * [taylor]: Taking taylor expansion of im in im 0.067 * [taylor]: Taking taylor expansion of (exp re) in im 0.067 * [taylor]: Taking taylor expansion of re in im 0.067 * [taylor]: Taking taylor expansion of (* (cos im) (exp re)) in re 0.067 * [taylor]: Taking taylor expansion of (cos im) in re 0.067 * [taylor]: Taking taylor expansion of im in re 0.067 * [taylor]: Taking taylor expansion of (exp re) in re 0.068 * [taylor]: Taking taylor expansion of re in re 0.068 * [taylor]: Taking taylor expansion of (* (cos im) (exp re)) in re 0.068 * [taylor]: Taking taylor expansion of (cos im) in re 0.068 * [taylor]: Taking taylor expansion of im in re 0.068 * [taylor]: Taking taylor expansion of (exp re) in re 0.068 * [taylor]: Taking taylor expansion of re in re 0.068 * [taylor]: Taking taylor expansion of (cos im) in im 0.068 * [taylor]: Taking taylor expansion of im in im 0.070 * [taylor]: Taking taylor expansion of (cos im) in im 0.071 * [taylor]: Taking taylor expansion of im in im 0.074 * [taylor]: Taking taylor expansion of (* 1/2 (cos im)) in im 0.074 * [taylor]: Taking taylor expansion of 1/2 in im 0.074 * [taylor]: Taking taylor expansion of (cos im) in im 0.074 * [taylor]: Taking taylor expansion of im in im 0.074 * [approximate]: Taking taylor expansion of (* (exp (/ 1 re)) (cos (/ 1 im))) in (re im) around 0 0.074 * [taylor]: Taking taylor expansion of (* (exp (/ 1 re)) (cos (/ 1 im))) in im 0.074 * [taylor]: Taking taylor expansion of (exp (/ 1 re)) in im 0.074 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.074 * [taylor]: Taking taylor expansion of re in im 0.075 * [taylor]: Taking taylor expansion of (cos (/ 1 im)) in im 0.075 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.075 * [taylor]: Taking taylor expansion of im in im 0.075 * [taylor]: Taking taylor expansion of (* (exp (/ 1 re)) (cos (/ 1 im))) in re 0.075 * [taylor]: Taking taylor expansion of (exp (/ 1 re)) in re 0.075 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.075 * [taylor]: Taking taylor expansion of re in re 0.075 * [taylor]: Taking taylor expansion of (cos (/ 1 im)) in re 0.075 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.075 * [taylor]: Taking taylor expansion of im in re 0.075 * [taylor]: Taking taylor expansion of (* (exp (/ 1 re)) (cos (/ 1 im))) in re 0.075 * [taylor]: Taking taylor expansion of (exp (/ 1 re)) in re 0.075 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.075 * [taylor]: Taking taylor expansion of re in re 0.076 * [taylor]: Taking taylor expansion of (cos (/ 1 im)) in re 0.076 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.076 * [taylor]: Taking taylor expansion of im in re 0.076 * [taylor]: Taking taylor expansion of (* (exp (/ 1 re)) (cos (/ 1 im))) in im 0.076 * [taylor]: Taking taylor expansion of (exp (/ 1 re)) in im 0.076 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.076 * [taylor]: Taking taylor expansion of re in im 0.076 * [taylor]: Taking taylor expansion of (cos (/ 1 im)) in im 0.076 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.076 * [taylor]: Taking taylor expansion of im in im 0.078 * [taylor]: Taking taylor expansion of 0 in im 0.081 * [taylor]: Taking taylor expansion of 0 in im 0.085 * [taylor]: Taking taylor expansion of 0 in im 0.086 * [approximate]: Taking taylor expansion of (* (exp (/ -1 re)) (cos (/ -1 im))) in (re im) around 0 0.086 * [taylor]: Taking taylor expansion of (* (exp (/ -1 re)) (cos (/ -1 im))) in im 0.086 * [taylor]: Taking taylor expansion of (exp (/ -1 re)) in im 0.086 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.086 * [taylor]: Taking taylor expansion of -1 in im 0.086 * [taylor]: Taking taylor expansion of re in im 0.086 * [taylor]: Taking taylor expansion of (cos (/ -1 im)) in im 0.086 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.086 * [taylor]: Taking taylor expansion of -1 in im 0.086 * [taylor]: Taking taylor expansion of im in im 0.086 * [taylor]: Taking taylor expansion of (* (exp (/ -1 re)) (cos (/ -1 im))) in re 0.086 * [taylor]: Taking taylor expansion of (exp (/ -1 re)) in re 0.086 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.086 * [taylor]: Taking taylor expansion of -1 in re 0.086 * [taylor]: Taking taylor expansion of re in re 0.087 * [taylor]: Taking taylor expansion of (cos (/ -1 im)) in re 0.087 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.087 * [taylor]: Taking taylor expansion of -1 in re 0.087 * [taylor]: Taking taylor expansion of im in re 0.087 * [taylor]: Taking taylor expansion of (* (exp (/ -1 re)) (cos (/ -1 im))) in re 0.087 * [taylor]: Taking taylor expansion of (exp (/ -1 re)) in re 0.087 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.087 * [taylor]: Taking taylor expansion of -1 in re 0.087 * [taylor]: Taking taylor expansion of re in re 0.087 * [taylor]: Taking taylor expansion of (cos (/ -1 im)) in re 0.087 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.087 * [taylor]: Taking taylor expansion of -1 in re 0.087 * [taylor]: Taking taylor expansion of im in re 0.088 * [taylor]: Taking taylor expansion of (* (exp (/ -1 re)) (cos (/ -1 im))) in im 0.088 * [taylor]: Taking taylor expansion of (exp (/ -1 re)) in im 0.088 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.088 * [taylor]: Taking taylor expansion of -1 in im 0.088 * [taylor]: Taking taylor expansion of re in im 0.088 * [taylor]: Taking taylor expansion of (cos (/ -1 im)) in im 0.088 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.088 * [taylor]: Taking taylor expansion of -1 in im 0.088 * [taylor]: Taking taylor expansion of im in im 0.090 * [taylor]: Taking taylor expansion of 0 in im 0.093 * [taylor]: Taking taylor expansion of 0 in im 0.097 * [taylor]: Taking taylor expansion of 0 in im 0.097 * * * [progress]: simplifying candidates 0.097 * [simplify]: Simplifying using # : (expm1 (* (exp re) (cos im))) (log1p (* (exp re) (cos im))) (* (exp re) (cos im)) (+ re (log (cos im))) (log (* (exp re) (cos im))) (exp (* (exp re) (cos im))) (* (* (* (exp re) (exp re)) (exp re)) (* (* (cos im) (cos im)) (cos im))) (* (cbrt (* (exp re) (cos im))) (cbrt (* (exp re) (cos im)))) (cbrt (* (exp re) (cos im))) (* (* (* (exp re) (cos im)) (* (exp re) (cos im))) (* (exp re) (cos im))) (sqrt (* (exp re) (cos im))) (sqrt (* (exp re) (cos im))) (* (sqrt (exp re)) (sqrt (cos im))) (* (sqrt (exp re)) (sqrt (cos im))) (* (exp re) (* (cbrt (cos im)) (cbrt (cos im)))) (* (exp re) (sqrt (cos im))) (* (exp re) 1) (* (cbrt (exp re)) (cos im)) (* (sqrt (exp re)) (cos im)) (* (exp re) (cos im)) (+ 1 (+ (* 1/2 (pow re 2)) re)) (* (cos im) (exp re)) (* (cos im) (exp re)) 0.098 * [simplify]: Sending expressions to egg_math: (expm1 (* (exp h0) (cos h1))) (log1p (* (exp h0) (cos h1))) (* (exp h0) (cos h1)) (+ h0 (log (cos h1))) (log (* (exp h0) (cos h1))) (exp (* (exp h0) (cos h1))) (* (* (* (exp h0) (exp h0)) (exp h0)) (* (* (cos h1) (cos h1)) (cos h1))) (* (cbrt (* (exp h0) (cos h1))) (cbrt (* (exp h0) (cos h1)))) (cbrt (* (exp h0) (cos h1))) (* (* (* (exp h0) (cos h1)) (* (exp h0) (cos h1))) (* (exp h0) (cos h1))) (sqrt (* (exp h0) (cos h1))) (sqrt (* (exp h0) (cos h1))) (* (sqrt (exp h0)) (sqrt (cos h1))) (* (sqrt (exp h0)) (sqrt (cos h1))) (* (exp h0) (* (cbrt (cos h1)) (cbrt (cos h1)))) (* (exp h0) (sqrt (cos h1))) (* (exp h0) 1) (* (cbrt (exp h0)) (cos h1)) (* (sqrt (exp h0)) (cos h1)) (* (exp h0) (cos h1)) (+ 1 (+ (* 1/2 (pow h0 2)) h0)) (* (cos h1) (exp h0)) (* (cos h1) (exp h0)) 0.100 * * [simplify]: iteration 0 : 82 enodes (cost 105 ) 0.102 * * [simplify]: iteration 1 : 268 enodes (cost 92 ) 0.108 * * [simplify]: iteration 2 : 1050 enodes (cost 92 ) 0.128 * * [simplify]: iteration 3 : 4260 enodes (cost 92 ) 0.242 * * [simplify]: iteration 4 : 5001 enodes (cost 91 ) 0.246 * [simplify]: Simplified to: (expm1 (* (exp re) (cos im))) (log1p (* (exp re) (cos im))) (* (exp re) (cos im)) (+ (log (cos im)) re) (+ (log (cos im)) re) (exp (* (exp re) (cos im))) (pow (* (exp re) (cos im)) 3) (* (cbrt (* (exp re) (cos im))) (cbrt (* (exp re) (cos im)))) (cbrt (* (exp re) (cos im))) (pow (* (exp re) (cos im)) 3) (sqrt (* (exp re) (cos im))) (sqrt (* (exp re) (cos im))) (* (sqrt (exp re)) (sqrt (cos im))) (* (sqrt (exp re)) (sqrt (cos im))) (* (exp re) (* (cbrt (cos im)) (cbrt (cos im)))) (* (exp re) (sqrt (cos im))) (exp re) (* (cbrt (exp re)) (cos im)) (* (sqrt (exp re)) (cos im)) (* (exp re) (cos im)) (fma re (fma 1/2 re 1) 1) (* (exp re) (cos im)) (* (exp re) (cos im)) 0.246 * * * [progress]: adding candidates to table 0.288 * * [progress]: iteration 2 / 4 0.288 * * * [progress]: picking best candidate 0.290 * * * * [pick]: Picked # 0.290 * * * [progress]: localizing error 0.300 * * * [progress]: generating rewritten candidates 0.300 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.346 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 0.348 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 2) 0.352 * * * [progress]: generating series expansions 0.352 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.352 * [approximate]: Taking taylor expansion of (* (cos im) (exp re)) in (re im) around 0 0.352 * [taylor]: Taking taylor expansion of (* (cos im) (exp re)) in im 0.352 * [taylor]: Taking taylor expansion of (cos im) in im 0.352 * [taylor]: Taking taylor expansion of im in im 0.352 * [taylor]: Taking taylor expansion of (exp re) in im 0.352 * [taylor]: Taking taylor expansion of re in im 0.352 * [taylor]: Taking taylor expansion of (* (cos im) (exp re)) in re 0.352 * [taylor]: Taking taylor expansion of (cos im) in re 0.352 * [taylor]: Taking taylor expansion of im in re 0.352 * [taylor]: Taking taylor expansion of (exp re) in re 0.352 * [taylor]: Taking taylor expansion of re in re 0.352 * [taylor]: Taking taylor expansion of (* (cos im) (exp re)) in re 0.352 * [taylor]: Taking taylor expansion of (cos im) in re 0.352 * [taylor]: Taking taylor expansion of im in re 0.352 * [taylor]: Taking taylor expansion of (exp re) in re 0.352 * [taylor]: Taking taylor expansion of re in re 0.353 * [taylor]: Taking taylor expansion of (cos im) in im 0.353 * [taylor]: Taking taylor expansion of im in im 0.355 * [taylor]: Taking taylor expansion of (cos im) in im 0.355 * [taylor]: Taking taylor expansion of im in im 0.358 * [taylor]: Taking taylor expansion of (* 1/2 (cos im)) in im 0.358 * [taylor]: Taking taylor expansion of 1/2 in im 0.358 * [taylor]: Taking taylor expansion of (cos im) in im 0.358 * [taylor]: Taking taylor expansion of im in im 0.359 * [approximate]: Taking taylor expansion of (* (exp (/ 1 re)) (cos (/ 1 im))) in (re im) around 0 0.359 * [taylor]: Taking taylor expansion of (* (exp (/ 1 re)) (cos (/ 1 im))) in im 0.359 * [taylor]: Taking taylor expansion of (exp (/ 1 re)) in im 0.359 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.359 * [taylor]: Taking taylor expansion of re in im 0.359 * [taylor]: Taking taylor expansion of (cos (/ 1 im)) in im 0.359 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.359 * [taylor]: Taking taylor expansion of im in im 0.359 * [taylor]: Taking taylor expansion of (* (exp (/ 1 re)) (cos (/ 1 im))) in re 0.360 * [taylor]: Taking taylor expansion of (exp (/ 1 re)) in re 0.360 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.360 * [taylor]: Taking taylor expansion of re in re 0.360 * [taylor]: Taking taylor expansion of (cos (/ 1 im)) in re 0.360 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.360 * [taylor]: Taking taylor expansion of im in re 0.360 * [taylor]: Taking taylor expansion of (* (exp (/ 1 re)) (cos (/ 1 im))) in re 0.360 * [taylor]: Taking taylor expansion of (exp (/ 1 re)) in re 0.360 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.360 * [taylor]: Taking taylor expansion of re in re 0.360 * [taylor]: Taking taylor expansion of (cos (/ 1 im)) in re 0.360 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.360 * [taylor]: Taking taylor expansion of im in re 0.361 * [taylor]: Taking taylor expansion of (* (exp (/ 1 re)) (cos (/ 1 im))) in im 0.361 * [taylor]: Taking taylor expansion of (exp (/ 1 re)) in im 0.361 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.361 * [taylor]: Taking taylor expansion of re in im 0.361 * [taylor]: Taking taylor expansion of (cos (/ 1 im)) in im 0.361 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.361 * [taylor]: Taking taylor expansion of im in im 0.363 * [taylor]: Taking taylor expansion of 0 in im 0.369 * [taylor]: Taking taylor expansion of 0 in im 0.373 * [taylor]: Taking taylor expansion of 0 in im 0.373 * [approximate]: Taking taylor expansion of (* (exp (/ -1 re)) (cos (/ -1 im))) in (re im) around 0 0.373 * [taylor]: Taking taylor expansion of (* (exp (/ -1 re)) (cos (/ -1 im))) in im 0.373 * [taylor]: Taking taylor expansion of (exp (/ -1 re)) in im 0.373 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.373 * [taylor]: Taking taylor expansion of -1 in im 0.373 * [taylor]: Taking taylor expansion of re in im 0.374 * [taylor]: Taking taylor expansion of (cos (/ -1 im)) in im 0.374 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.374 * [taylor]: Taking taylor expansion of -1 in im 0.374 * [taylor]: Taking taylor expansion of im in im 0.374 * [taylor]: Taking taylor expansion of (* (exp (/ -1 re)) (cos (/ -1 im))) in re 0.374 * [taylor]: Taking taylor expansion of (exp (/ -1 re)) in re 0.374 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.374 * [taylor]: Taking taylor expansion of -1 in re 0.374 * [taylor]: Taking taylor expansion of re in re 0.374 * [taylor]: Taking taylor expansion of (cos (/ -1 im)) in re 0.374 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.374 * [taylor]: Taking taylor expansion of -1 in re 0.374 * [taylor]: Taking taylor expansion of im in re 0.374 * [taylor]: Taking taylor expansion of (* (exp (/ -1 re)) (cos (/ -1 im))) in re 0.374 * [taylor]: Taking taylor expansion of (exp (/ -1 re)) in re 0.374 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.374 * [taylor]: Taking taylor expansion of -1 in re 0.374 * [taylor]: Taking taylor expansion of re in re 0.375 * [taylor]: Taking taylor expansion of (cos (/ -1 im)) in re 0.375 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.375 * [taylor]: Taking taylor expansion of -1 in re 0.375 * [taylor]: Taking taylor expansion of im in re 0.375 * [taylor]: Taking taylor expansion of (* (exp (/ -1 re)) (cos (/ -1 im))) in im 0.375 * [taylor]: Taking taylor expansion of (exp (/ -1 re)) in im 0.375 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.375 * [taylor]: Taking taylor expansion of -1 in im 0.375 * [taylor]: Taking taylor expansion of re in im 0.375 * [taylor]: Taking taylor expansion of (cos (/ -1 im)) in im 0.375 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.375 * [taylor]: Taking taylor expansion of -1 in im 0.376 * [taylor]: Taking taylor expansion of im in im 0.378 * [taylor]: Taking taylor expansion of 0 in im 0.380 * [taylor]: Taking taylor expansion of 0 in im 0.384 * [taylor]: Taking taylor expansion of 0 in im 0.385 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 0.385 * [approximate]: Taking taylor expansion of (sqrt (cos im)) in (im) around 0 0.385 * [taylor]: Taking taylor expansion of (sqrt (cos im)) in im 0.385 * [taylor]: Taking taylor expansion of (cos im) in im 0.385 * [taylor]: Taking taylor expansion of im in im 0.386 * [taylor]: Taking taylor expansion of (sqrt (cos im)) in im 0.386 * [taylor]: Taking taylor expansion of (cos im) in im 0.386 * [taylor]: Taking taylor expansion of im in im 0.391 * [approximate]: Taking taylor expansion of (sqrt (cos (/ 1 im))) in (im) around 0 0.391 * [taylor]: Taking taylor expansion of (sqrt (cos (/ 1 im))) in im 0.391 * [taylor]: Taking taylor expansion of (cos (/ 1 im)) in im 0.391 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.391 * [taylor]: Taking taylor expansion of im in im 0.392 * [taylor]: Taking taylor expansion of (sqrt (cos (/ 1 im))) in im 0.392 * [taylor]: Taking taylor expansion of (cos (/ 1 im)) in im 0.392 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.392 * [taylor]: Taking taylor expansion of im in im 0.395 * [approximate]: Taking taylor expansion of (sqrt (cos (/ -1 im))) in (im) around 0 0.395 * [taylor]: Taking taylor expansion of (sqrt (cos (/ -1 im))) in im 0.395 * [taylor]: Taking taylor expansion of (cos (/ -1 im)) in im 0.395 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.395 * [taylor]: Taking taylor expansion of -1 in im 0.395 * [taylor]: Taking taylor expansion of im in im 0.395 * [taylor]: Taking taylor expansion of (sqrt (cos (/ -1 im))) in im 0.395 * [taylor]: Taking taylor expansion of (cos (/ -1 im)) in im 0.395 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.395 * [taylor]: Taking taylor expansion of -1 in im 0.395 * [taylor]: Taking taylor expansion of im in im 0.398 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 2) 0.398 * [approximate]: Taking taylor expansion of (sqrt (cos im)) in (im) around 0 0.398 * [taylor]: Taking taylor expansion of (sqrt (cos im)) in im 0.398 * [taylor]: Taking taylor expansion of (cos im) in im 0.398 * [taylor]: Taking taylor expansion of im in im 0.399 * [taylor]: Taking taylor expansion of (sqrt (cos im)) in im 0.399 * [taylor]: Taking taylor expansion of (cos im) in im 0.399 * [taylor]: Taking taylor expansion of im in im 0.405 * [approximate]: Taking taylor expansion of (sqrt (cos (/ 1 im))) in (im) around 0 0.405 * [taylor]: Taking taylor expansion of (sqrt (cos (/ 1 im))) in im 0.405 * [taylor]: Taking taylor expansion of (cos (/ 1 im)) in im 0.405 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.405 * [taylor]: Taking taylor expansion of im in im 0.405 * [taylor]: Taking taylor expansion of (sqrt (cos (/ 1 im))) in im 0.405 * [taylor]: Taking taylor expansion of (cos (/ 1 im)) in im 0.405 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.405 * [taylor]: Taking taylor expansion of im in im 0.408 * [approximate]: Taking taylor expansion of (sqrt (cos (/ -1 im))) in (im) around 0 0.408 * [taylor]: Taking taylor expansion of (sqrt (cos (/ -1 im))) in im 0.408 * [taylor]: Taking taylor expansion of (cos (/ -1 im)) in im 0.408 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.408 * [taylor]: Taking taylor expansion of -1 in im 0.408 * [taylor]: Taking taylor expansion of im in im 0.408 * [taylor]: Taking taylor expansion of (sqrt (cos (/ -1 im))) in im 0.408 * [taylor]: Taking taylor expansion of (cos (/ -1 im)) in im 0.409 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.409 * [taylor]: Taking taylor expansion of -1 in im 0.409 * [taylor]: Taking taylor expansion of im in im 0.411 * * * [progress]: simplifying candidates 0.412 * [simplify]: Simplifying using # : (expm1 (* (* (exp re) (sqrt (cos im))) (sqrt (cos im)))) (log1p (* (* (exp re) (sqrt (cos im))) (sqrt (cos im)))) (* (* (exp re) (sqrt (cos im))) (sqrt (cos im))) (* (* (exp re) (sqrt (cos im))) (sqrt (cos im))) (+ (+ re (log (sqrt (cos im)))) (log (sqrt (cos im)))) (+ (log (* (exp re) (sqrt (cos im)))) (log (sqrt (cos im)))) (log (* (* (exp re) (sqrt (cos im))) (sqrt (cos im)))) (exp (* (* (exp re) (sqrt (cos im))) (sqrt (cos im)))) (* (* (* (* (exp re) (exp re)) (exp re)) (* (* (sqrt (cos im)) (sqrt (cos im))) (sqrt (cos im)))) (* (* (sqrt (cos im)) (sqrt (cos im))) (sqrt (cos im)))) (* (* (* (* (exp re) (sqrt (cos im))) (* (exp re) (sqrt (cos im)))) (* (exp re) (sqrt (cos im)))) (* (* (sqrt (cos im)) (sqrt (cos im))) (sqrt (cos im)))) (* (cbrt (* (* (exp re) (sqrt (cos im))) (sqrt (cos im)))) (cbrt (* (* (exp re) (sqrt (cos im))) (sqrt (cos im))))) (cbrt (* (* (exp re) (sqrt (cos im))) (sqrt (cos im)))) (* (* (* (* (exp re) (sqrt (cos im))) (sqrt (cos im))) (* (* (exp re) (sqrt (cos im))) (sqrt (cos im)))) (* (* (exp re) (sqrt (cos im))) (sqrt (cos im)))) (sqrt (* (* (exp re) (sqrt (cos im))) (sqrt (cos im)))) (sqrt (* (* (exp re) (sqrt (cos im))) (sqrt (cos im)))) (* (* (exp re) (sqrt (cos im))) (* (cbrt (sqrt (cos im))) (cbrt (sqrt (cos im))))) (* (* (exp re) (sqrt (cos im))) (sqrt (* (cbrt (cos im)) (cbrt (cos im))))) (* (* (exp re) (sqrt (cos im))) (sqrt (sqrt (cos im)))) (* (* (exp re) (sqrt (cos im))) (sqrt 1)) (* (* (exp re) (sqrt (cos im))) (sqrt (sqrt (cos im)))) (* (* (exp re) (sqrt (cos im))) 1) (* (sqrt (cos im)) (sqrt (cos im))) (expm1 (sqrt (cos im))) (log1p (sqrt (cos im))) (log (sqrt (cos im))) (exp (sqrt (cos im))) (* (cbrt (sqrt (cos im))) (cbrt (sqrt (cos im)))) (cbrt (sqrt (cos im))) (* (* (sqrt (cos im)) (sqrt (cos im))) (sqrt (cos im))) (sqrt (* (cbrt (cos im)) (cbrt (cos im)))) (sqrt (cbrt (cos im))) (sqrt (sqrt (cos im))) (sqrt (sqrt (cos im))) (sqrt 1) (sqrt (cos im)) (/ 1 2) (sqrt (sqrt (cos im))) (sqrt (sqrt (cos im))) (expm1 (sqrt (cos im))) (log1p (sqrt (cos im))) (log (sqrt (cos im))) (exp (sqrt (cos im))) (* (cbrt (sqrt (cos im))) (cbrt (sqrt (cos im)))) (cbrt (sqrt (cos im))) (* (* (sqrt (cos im)) (sqrt (cos im))) (sqrt (cos im))) (sqrt (* (cbrt (cos im)) (cbrt (cos im)))) (sqrt (cbrt (cos im))) (sqrt (sqrt (cos im))) (sqrt (sqrt (cos im))) (sqrt 1) (sqrt (cos im)) (/ 1 2) (sqrt (sqrt (cos im))) (sqrt (sqrt (cos im))) (+ 1 (+ (* 1/2 (pow re 2)) re)) (* (cos im) (exp re)) (* (cos im) (exp re)) (- 1 (+ (* 1/96 (pow im 4)) (* 1/4 (pow im 2)))) (sqrt (cos im)) (sqrt (cos im)) (- 1 (+ (* 1/96 (pow im 4)) (* 1/4 (pow im 2)))) (sqrt (cos im)) (sqrt (cos im)) 0.412 * [simplify]: Sending expressions to egg_math: (expm1 (* (* (exp h0) (sqrt (cos h1))) (sqrt (cos h1)))) (log1p (* (* (exp h0) (sqrt (cos h1))) (sqrt (cos h1)))) (* (* (exp h0) (sqrt (cos h1))) (sqrt (cos h1))) (* (* (exp h0) (sqrt (cos h1))) (sqrt (cos h1))) (+ (+ h0 (log (sqrt (cos h1)))) (log (sqrt (cos h1)))) (+ (log (* (exp h0) (sqrt (cos h1)))) (log (sqrt (cos h1)))) (log (* (* (exp h0) (sqrt (cos h1))) (sqrt (cos h1)))) (exp (* (* (exp h0) (sqrt (cos h1))) (sqrt (cos h1)))) (* (* (* (* (exp h0) (exp h0)) (exp h0)) (* (* (sqrt (cos h1)) (sqrt (cos h1))) (sqrt (cos h1)))) (* (* (sqrt (cos h1)) (sqrt (cos h1))) (sqrt (cos h1)))) (* (* (* (* (exp h0) (sqrt (cos h1))) (* (exp h0) (sqrt (cos h1)))) (* (exp h0) (sqrt (cos h1)))) (* (* (sqrt (cos h1)) (sqrt (cos h1))) (sqrt (cos h1)))) (* (cbrt (* (* (exp h0) (sqrt (cos h1))) (sqrt (cos h1)))) (cbrt (* (* (exp h0) (sqrt (cos h1))) (sqrt (cos h1))))) (cbrt (* (* (exp h0) (sqrt (cos h1))) (sqrt (cos h1)))) (* (* (* (* (exp h0) (sqrt (cos h1))) (sqrt (cos h1))) (* (* (exp h0) (sqrt (cos h1))) (sqrt (cos h1)))) (* (* (exp h0) (sqrt (cos h1))) (sqrt (cos h1)))) (sqrt (* (* (exp h0) (sqrt (cos h1))) (sqrt (cos h1)))) (sqrt (* (* (exp h0) (sqrt (cos h1))) (sqrt (cos h1)))) (* (* (exp h0) (sqrt (cos h1))) (* (cbrt (sqrt (cos h1))) (cbrt (sqrt (cos h1))))) (* (* (exp h0) (sqrt (cos h1))) (sqrt (* (cbrt (cos h1)) (cbrt (cos h1))))) (* (* (exp h0) (sqrt (cos h1))) (sqrt (sqrt (cos h1)))) (* (* (exp h0) (sqrt (cos h1))) (sqrt 1)) (* (* (exp h0) (sqrt (cos h1))) (sqrt (sqrt (cos h1)))) (* (* (exp h0) (sqrt (cos h1))) 1) (* (sqrt (cos h1)) (sqrt (cos h1))) (expm1 (sqrt (cos h1))) (log1p (sqrt (cos h1))) (log (sqrt (cos h1))) (exp (sqrt (cos h1))) (* (cbrt (sqrt (cos h1))) (cbrt (sqrt (cos h1)))) (cbrt (sqrt (cos h1))) (* (* (sqrt (cos h1)) (sqrt (cos h1))) (sqrt (cos h1))) (sqrt (* (cbrt (cos h1)) (cbrt (cos h1)))) (sqrt (cbrt (cos h1))) (sqrt (sqrt (cos h1))) (sqrt (sqrt (cos h1))) (sqrt 1) (sqrt (cos h1)) (/ 1 2) (sqrt (sqrt (cos h1))) (sqrt (sqrt (cos h1))) (expm1 (sqrt (cos h1))) (log1p (sqrt (cos h1))) (log (sqrt (cos h1))) (exp (sqrt (cos h1))) (* (cbrt (sqrt (cos h1))) (cbrt (sqrt (cos h1)))) (cbrt (sqrt (cos h1))) (* (* (sqrt (cos h1)) (sqrt (cos h1))) (sqrt (cos h1))) (sqrt (* (cbrt (cos h1)) (cbrt (cos h1)))) (sqrt (cbrt (cos h1))) (sqrt (sqrt (cos h1))) (sqrt (sqrt (cos h1))) (sqrt 1) (sqrt (cos h1)) (/ 1 2) (sqrt (sqrt (cos h1))) (sqrt (sqrt (cos h1))) (+ 1 (+ (* 1/2 (pow h0 2)) h0)) (* (cos h1) (exp h0)) (* (cos h1) (exp h0)) (- 1 (+ (* 1/96 (pow h1 4)) (* 1/4 (pow h1 2)))) (sqrt (cos h1)) (sqrt (cos h1)) (- 1 (+ (* 1/96 (pow h1 4)) (* 1/4 (pow h1 2)))) (sqrt (cos h1)) (sqrt (cos h1)) 0.416 * * [simplify]: iteration 0 : 155 enodes (cost 303 ) 0.419 * * [simplify]: iteration 1 : 613 enodes (cost 262 ) 0.432 * * [simplify]: iteration 2 : 2504 enodes (cost 252 ) 0.478 * * [simplify]: iteration 3 : 5002 enodes (cost 252 ) 0.479 * [simplify]: Simplified to: (expm1 (* (* (exp re) (sqrt (cos im))) (sqrt (cos im)))) (log1p (* (* (exp re) (sqrt (cos im))) (sqrt (cos im)))) (* (exp re) (cos im)) (* (exp re) (cos im)) (+ re (log (cos im))) (+ re (log (cos im))) (+ re (log (cos im))) (pow (exp (exp re)) (cos im)) (pow (* (exp re) (cos im)) 3) (pow (* (exp re) (cos im)) 3) (* (cbrt (* (* (exp re) (sqrt (cos im))) (sqrt (cos im)))) (cbrt (* (* (exp re) (sqrt (cos im))) (sqrt (cos im))))) (cbrt (* (* (exp re) (sqrt (cos im))) (sqrt (cos im)))) (pow (* (exp re) (cos im)) 3) (sqrt (* (* (exp re) (sqrt (cos im))) (sqrt (cos im)))) (sqrt (* (* (exp re) (sqrt (cos im))) (sqrt (cos im)))) (* (* (exp re) (sqrt (cos im))) (* (cbrt (sqrt (cos im))) (cbrt (sqrt (cos im))))) (* (exp re) (* (sqrt (cos im)) (fabs (cbrt (cos im))))) (* (* (exp re) (sqrt (cos im))) (sqrt (sqrt (cos im)))) (* (exp re) (sqrt (cos im))) (* (* (exp re) (sqrt (cos im))) (sqrt (sqrt (cos im)))) (* (exp re) (sqrt (cos im))) (cos im) (expm1 (sqrt (cos im))) (log1p (sqrt (cos im))) (log (sqrt (cos im))) (exp (sqrt (cos im))) (* (cbrt (sqrt (cos im))) (cbrt (sqrt (cos im)))) (cbrt (sqrt (cos im))) (pow (sqrt (cos im)) 3) (fabs (cbrt (cos im))) (sqrt (cbrt (cos im))) (sqrt (sqrt (cos im))) (sqrt (sqrt (cos im))) 1 (sqrt (cos im)) 1/2 (sqrt (sqrt (cos im))) (sqrt (sqrt (cos im))) (expm1 (sqrt (cos im))) (log1p (sqrt (cos im))) (log (sqrt (cos im))) (exp (sqrt (cos im))) (* (cbrt (sqrt (cos im))) (cbrt (sqrt (cos im)))) (cbrt (sqrt (cos im))) (pow (sqrt (cos im)) 3) (fabs (cbrt (cos im))) (sqrt (cbrt (cos im))) (sqrt (sqrt (cos im))) (sqrt (sqrt (cos im))) 1 (sqrt (cos im)) 1/2 (sqrt (sqrt (cos im))) (sqrt (sqrt (cos im))) (+ (fma 1/2 (pow re 2) re) 1) (* (exp re) (cos im)) (* (exp re) (cos im)) (- 1 (+ (* 1/96 (pow im 4)) (* 1/4 (pow im 2)))) (sqrt (cos im)) (sqrt (cos im)) (- 1 (+ (* 1/96 (pow im 4)) (* 1/4 (pow im 2)))) (sqrt (cos im)) (sqrt (cos im)) 0.480 * * * [progress]: adding candidates to table 0.605 * [progress]: [Phase 3 of 3] Extracting. 0.605 * * [regime]: Finding splitpoints for: (# #) 0.606 * * * [regime-changes]: Trying 5 branch expressions: ((cos im) (exp re) (* (exp re) (cos im)) im re) 0.606 * * * * [regimes]: Trying to branch on (cos im) from (# #) 0.619 * * * * [regimes]: Trying to branch on (exp re) from (# #) 0.631 * * * * [regimes]: Trying to branch on (* (exp re) (cos im)) from (# #) 0.648 * * * * [regimes]: Trying to branch on im from (# #) 0.661 * * * * [regimes]: Trying to branch on re from (# #) 0.672 * * * [regime]: Found split indices: #