44.153 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.209 * * * [progress]: [2/2] Setting up program. 0.215 * [progress]: [Phase 2 of 3] Improving. 0.215 * [simplify]: Simplifying using # : (* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im))) 0.218 * * [simplify]: iteration 0 : 23 enodes (cost 7 ) 0.220 * * [simplify]: iteration 1 : 58 enodes (cost 7 ) 0.222 * * [simplify]: iteration 2 : 95 enodes (cost 7 ) 0.226 * * [simplify]: iteration 3 : 209 enodes (cost 7 ) 0.230 * * [simplify]: iteration 4 : 459 enodes (cost 7 ) 0.236 * * [simplify]: iteration 5 : 596 enodes (cost 7 ) 0.248 * * [simplify]: iteration 6 : 1198 enodes (cost 7 ) 0.267 * * [simplify]: iteration 7 : 1931 enodes (cost 7 ) 0.322 * * [simplify]: iteration 8 : 5001 enodes (cost 7 ) 0.323 * [simplify]: Simplified to: (* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im))) 0.323 * * [progress]: iteration 1 / 4 0.323 * * * [progress]: picking best candidate 0.328 * * * * [pick]: Picked # 0.328 * * * [progress]: localizing error 0.345 * * * [progress]: generating rewritten candidates 0.345 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.352 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.368 * * * [progress]: generating series expansions 0.368 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.369 * [approximate]: Taking taylor expansion of (+ (exp im) (exp (neg im))) in (im) around 0 0.369 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (neg im))) in im 0.369 * [taylor]: Taking taylor expansion of (exp im) in im 0.369 * [taylor]: Taking taylor expansion of im in im 0.369 * [taylor]: Taking taylor expansion of (exp (neg im)) in im 0.369 * [taylor]: Taking taylor expansion of (neg im) in im 0.369 * [taylor]: Taking taylor expansion of im in im 0.369 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (neg im))) in im 0.369 * [taylor]: Taking taylor expansion of (exp im) in im 0.369 * [taylor]: Taking taylor expansion of im in im 0.369 * [taylor]: Taking taylor expansion of (exp (neg im)) in im 0.369 * [taylor]: Taking taylor expansion of (neg im) in im 0.369 * [taylor]: Taking taylor expansion of im in im 0.375 * [approximate]: Taking taylor expansion of (+ (exp (neg (/ 1 im))) (exp (/ 1 im))) in (im) around 0 0.375 * [taylor]: Taking taylor expansion of (+ (exp (neg (/ 1 im))) (exp (/ 1 im))) in im 0.375 * [taylor]: Taking taylor expansion of (exp (neg (/ 1 im))) in im 0.375 * [taylor]: Taking taylor expansion of (neg (/ 1 im)) in im 0.375 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.375 * [taylor]: Taking taylor expansion of im in im 0.375 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.375 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.375 * [taylor]: Taking taylor expansion of im in im 0.375 * [taylor]: Taking taylor expansion of (+ (exp (neg (/ 1 im))) (exp (/ 1 im))) in im 0.375 * [taylor]: Taking taylor expansion of (exp (neg (/ 1 im))) in im 0.375 * [taylor]: Taking taylor expansion of (neg (/ 1 im)) in im 0.375 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.375 * [taylor]: Taking taylor expansion of im in im 0.376 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.376 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.376 * [taylor]: Taking taylor expansion of im in im 0.376 * [approximate]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in (im) around 0 0.376 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.376 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.377 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.377 * [taylor]: Taking taylor expansion of -1 in im 0.377 * [taylor]: Taking taylor expansion of im in im 0.377 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.377 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.377 * [taylor]: Taking taylor expansion of im in im 0.377 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.377 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.377 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.377 * [taylor]: Taking taylor expansion of -1 in im 0.377 * [taylor]: Taking taylor expansion of im in im 0.377 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.377 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.377 * [taylor]: Taking taylor expansion of im in im 0.378 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.378 * [approximate]: Taking taylor expansion of (* 0.5 (* (+ (exp im) (exp (neg im))) (cos re))) in (re im) around 0 0.378 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp im) (exp (neg im))) (cos re))) in im 0.378 * [taylor]: Taking taylor expansion of 0.5 in im 0.378 * [taylor]: Taking taylor expansion of (* (+ (exp im) (exp (neg im))) (cos re)) in im 0.378 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (neg im))) in im 0.378 * [taylor]: Taking taylor expansion of (exp im) in im 0.378 * [taylor]: Taking taylor expansion of im in im 0.378 * [taylor]: Taking taylor expansion of (exp (neg im)) in im 0.378 * [taylor]: Taking taylor expansion of (neg im) in im 0.378 * [taylor]: Taking taylor expansion of im in im 0.378 * [taylor]: Taking taylor expansion of (cos re) in im 0.378 * [taylor]: Taking taylor expansion of re in im 0.378 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp im) (exp (neg im))) (cos re))) in re 0.378 * [taylor]: Taking taylor expansion of 0.5 in re 0.378 * [taylor]: Taking taylor expansion of (* (+ (exp im) (exp (neg im))) (cos re)) in re 0.378 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (neg im))) in re 0.378 * [taylor]: Taking taylor expansion of (exp im) in re 0.378 * [taylor]: Taking taylor expansion of im in re 0.378 * [taylor]: Taking taylor expansion of (exp (neg im)) in re 0.378 * [taylor]: Taking taylor expansion of (neg im) in re 0.379 * [taylor]: Taking taylor expansion of im in re 0.379 * [taylor]: Taking taylor expansion of (cos re) in re 0.379 * [taylor]: Taking taylor expansion of re in re 0.379 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp im) (exp (neg im))) (cos re))) in re 0.379 * [taylor]: Taking taylor expansion of 0.5 in re 0.379 * [taylor]: Taking taylor expansion of (* (+ (exp im) (exp (neg im))) (cos re)) in re 0.379 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (neg im))) in re 0.379 * [taylor]: Taking taylor expansion of (exp im) in re 0.379 * [taylor]: Taking taylor expansion of im in re 0.379 * [taylor]: Taking taylor expansion of (exp (neg im)) in re 0.379 * [taylor]: Taking taylor expansion of (neg im) in re 0.379 * [taylor]: Taking taylor expansion of im in re 0.379 * [taylor]: Taking taylor expansion of (cos re) in re 0.379 * [taylor]: Taking taylor expansion of re in re 0.379 * [taylor]: Taking taylor expansion of (* 0.5 (+ (exp im) (exp (neg im)))) in im 0.379 * [taylor]: Taking taylor expansion of 0.5 in im 0.379 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (neg im))) in im 0.379 * [taylor]: Taking taylor expansion of (exp im) in im 0.380 * [taylor]: Taking taylor expansion of im in im 0.380 * [taylor]: Taking taylor expansion of (exp (neg im)) in im 0.380 * [taylor]: Taking taylor expansion of (neg im) in im 0.380 * [taylor]: Taking taylor expansion of im in im 0.381 * [taylor]: Taking taylor expansion of 0 in im 0.382 * [taylor]: Taking taylor expansion of (neg (+ (* 0.25 (exp im)) (* 0.25 (exp (neg im))))) in im 0.382 * [taylor]: Taking taylor expansion of (+ (* 0.25 (exp im)) (* 0.25 (exp (neg im)))) in im 0.382 * [taylor]: Taking taylor expansion of (* 0.25 (exp im)) in im 0.382 * [taylor]: Taking taylor expansion of 0.25 in im 0.382 * [taylor]: Taking taylor expansion of (exp im) in im 0.382 * [taylor]: Taking taylor expansion of im in im 0.382 * [taylor]: Taking taylor expansion of (* 0.25 (exp (neg im))) in im 0.382 * [taylor]: Taking taylor expansion of 0.25 in im 0.382 * [taylor]: Taking taylor expansion of (exp (neg im)) in im 0.382 * [taylor]: Taking taylor expansion of (neg im) in im 0.382 * [taylor]: Taking taylor expansion of im in im 0.384 * [approximate]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (neg (/ 1 im))) (exp (/ 1 im))))) in (re im) around 0 0.384 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (neg (/ 1 im))) (exp (/ 1 im))))) in im 0.384 * [taylor]: Taking taylor expansion of 0.5 in im 0.384 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (neg (/ 1 im))) (exp (/ 1 im)))) in im 0.384 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.384 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.384 * [taylor]: Taking taylor expansion of re in im 0.384 * [taylor]: Taking taylor expansion of (+ (exp (neg (/ 1 im))) (exp (/ 1 im))) in im 0.384 * [taylor]: Taking taylor expansion of (exp (neg (/ 1 im))) in im 0.384 * [taylor]: Taking taylor expansion of (neg (/ 1 im)) in im 0.384 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.384 * [taylor]: Taking taylor expansion of im in im 0.384 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.384 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.384 * [taylor]: Taking taylor expansion of im in im 0.385 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (neg (/ 1 im))) (exp (/ 1 im))))) in re 0.385 * [taylor]: Taking taylor expansion of 0.5 in re 0.385 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (neg (/ 1 im))) (exp (/ 1 im)))) in re 0.385 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.385 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.385 * [taylor]: Taking taylor expansion of re in re 0.385 * [taylor]: Taking taylor expansion of (+ (exp (neg (/ 1 im))) (exp (/ 1 im))) in re 0.385 * [taylor]: Taking taylor expansion of (exp (neg (/ 1 im))) in re 0.385 * [taylor]: Taking taylor expansion of (neg (/ 1 im)) in re 0.385 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.385 * [taylor]: Taking taylor expansion of im in re 0.385 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.385 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.385 * [taylor]: Taking taylor expansion of im in re 0.385 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (neg (/ 1 im))) (exp (/ 1 im))))) in re 0.385 * [taylor]: Taking taylor expansion of 0.5 in re 0.385 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (neg (/ 1 im))) (exp (/ 1 im)))) in re 0.385 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.386 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.386 * [taylor]: Taking taylor expansion of re in re 0.386 * [taylor]: Taking taylor expansion of (+ (exp (neg (/ 1 im))) (exp (/ 1 im))) in re 0.386 * [taylor]: Taking taylor expansion of (exp (neg (/ 1 im))) in re 0.386 * [taylor]: Taking taylor expansion of (neg (/ 1 im)) in re 0.386 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.386 * [taylor]: Taking taylor expansion of im in re 0.386 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.386 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.386 * [taylor]: Taking taylor expansion of im in re 0.387 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (neg (/ 1 im))) (exp (/ 1 im))))) in im 0.387 * [taylor]: Taking taylor expansion of 0.5 in im 0.387 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (neg (/ 1 im))) (exp (/ 1 im)))) in im 0.387 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.387 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.387 * [taylor]: Taking taylor expansion of re in im 0.387 * [taylor]: Taking taylor expansion of (+ (exp (neg (/ 1 im))) (exp (/ 1 im))) in im 0.387 * [taylor]: Taking taylor expansion of (exp (neg (/ 1 im))) in im 0.387 * [taylor]: Taking taylor expansion of (neg (/ 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 (exp (/ 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 0.389 * [taylor]: Taking taylor expansion of 0 in im 0.392 * [taylor]: Taking taylor expansion of 0 in im 0.394 * [taylor]: Taking taylor expansion of 0 in im 0.395 * [approximate]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in (re im) around 0 0.395 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in im 0.395 * [taylor]: Taking taylor expansion of 0.5 in im 0.395 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in im 0.395 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.395 * [taylor]: Taking taylor expansion of (exp (/ -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 (exp (/ 1 im)) in im 0.395 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.395 * [taylor]: Taking taylor expansion of im in im 0.395 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.395 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.395 * [taylor]: Taking taylor expansion of -1 in im 0.395 * [taylor]: Taking taylor expansion of re in im 0.395 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in re 0.395 * [taylor]: Taking taylor expansion of 0.5 in re 0.395 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in re 0.395 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re 0.395 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.395 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.395 * [taylor]: Taking taylor expansion of -1 in re 0.395 * [taylor]: Taking taylor expansion of im in re 0.396 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.396 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.396 * [taylor]: Taking taylor expansion of im in re 0.396 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.396 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.396 * [taylor]: Taking taylor expansion of -1 in re 0.396 * [taylor]: Taking taylor expansion of re in re 0.396 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in re 0.396 * [taylor]: Taking taylor expansion of 0.5 in re 0.396 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in re 0.396 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re 0.396 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.396 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.396 * [taylor]: Taking taylor expansion of -1 in re 0.396 * [taylor]: Taking taylor expansion of im in re 0.396 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.396 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.396 * [taylor]: Taking taylor expansion of im in re 0.396 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.396 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.396 * [taylor]: Taking taylor expansion of -1 in re 0.396 * [taylor]: Taking taylor expansion of re in re 0.397 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in im 0.397 * [taylor]: Taking taylor expansion of 0.5 in im 0.397 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in im 0.397 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.397 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.397 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.397 * [taylor]: Taking taylor expansion of -1 in im 0.397 * [taylor]: Taking taylor expansion of im in im 0.397 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.397 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.397 * [taylor]: Taking taylor expansion of im in im 0.397 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.397 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.397 * [taylor]: Taking taylor expansion of -1 in im 0.397 * [taylor]: Taking taylor expansion of re in im 0.399 * [taylor]: Taking taylor expansion of 0 in im 0.401 * [taylor]: Taking taylor expansion of 0 in im 0.403 * [taylor]: Taking taylor expansion of 0 in im 0.403 * * * [progress]: simplifying candidates 0.404 * [simplify]: Simplifying using # : (* (exp (exp (neg im))) (exp (exp im))) (log (+ (exp (neg im)) (exp im))) (exp (+ (exp (neg im)) (exp im))) (* (cbrt (+ (exp (neg im)) (exp im))) (cbrt (+ (exp (neg im)) (exp im)))) (cbrt (+ (exp (neg im)) (exp im))) (* (* (+ (exp (neg im)) (exp im)) (+ (exp (neg im)) (exp im))) (+ (exp (neg im)) (exp im))) (sqrt (+ (exp (neg im)) (exp im))) (sqrt (+ (exp (neg im)) (exp im))) (+ (pow (exp (neg im)) 3) (pow (exp im) 3)) (+ (* (exp (neg im)) (exp (neg im))) (- (* (exp im) (exp im)) (* (exp (neg im)) (exp im)))) (- (* (exp (neg im)) (exp (neg im))) (* (exp im) (exp im))) (- (exp (neg im)) (exp im)) (+ (exp (neg im)) (exp im)) (* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im))) (* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im))) (+ (+ (log 0.5) (log (cos re))) (log (+ (exp (neg im)) (exp im)))) (+ (log (* 0.5 (cos re))) (log (+ (exp (neg im)) (exp im)))) (log (* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im)))) (exp (* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im)))) (* (* (* (* 0.5 0.5) 0.5) (* (* (cos re) (cos re)) (cos re))) (* (* (+ (exp (neg im)) (exp im)) (+ (exp (neg im)) (exp im))) (+ (exp (neg im)) (exp im)))) (* (* (* (* 0.5 (cos re)) (* 0.5 (cos re))) (* 0.5 (cos re))) (* (* (+ (exp (neg im)) (exp im)) (+ (exp (neg im)) (exp im))) (+ (exp (neg im)) (exp im)))) (* (cbrt (* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im)))) (cbrt (* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im))))) (cbrt (* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im)))) (* (* (* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im))) (* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im)))) (* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im)))) (sqrt (* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im)))) (sqrt (* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im)))) (* (* 0.5 (cos re)) (exp (neg im))) (* (* 0.5 (cos re)) (exp im)) (* (exp (neg im)) (* 0.5 (cos re))) (* (exp im) (* 0.5 (cos re))) (* (* 0.5 (cos re)) (* (cbrt (+ (exp (neg im)) (exp im))) (cbrt (+ (exp (neg im)) (exp im))))) (* (* 0.5 (cos re)) (sqrt (+ (exp (neg im)) (exp im)))) (* (* 0.5 (cos re)) 1) (* (* 0.5 (cos re)) 1) (* (cos re) (+ (exp (neg im)) (exp im))) (* (* 0.5 (cos re)) (+ (pow (exp (neg im)) 3) (pow (exp im) 3))) (* (* 0.5 (cos re)) (- (* (exp (neg im)) (exp (neg im))) (* (exp im) (exp im)))) (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2)) (+ (exp im) (exp (neg im))) (+ (exp (* -1 im)) (exp im)) (- (+ (* 0.5 (pow im 2)) 1.0) (* 0.5 (pow re 2))) (* 0.5 (* (+ (exp im) (exp (neg im))) (cos re))) (* 0.5 (* (+ (exp (* -1 im)) (exp im)) (cos re))) 0.410 * * [simplify]: iteration 0 : 248 enodes (cost 347 ) 0.418 * * [simplify]: iteration 1 : 1228 enodes (cost 286 ) 0.462 * * [simplify]: iteration 2 : 5001 enodes (cost 284 ) 0.466 * [simplify]: Simplified to: (exp (+ (exp (neg im)) (exp im))) (log (+ (exp (* -1 im)) (exp im))) (exp (+ (exp (neg im)) (exp im))) (* (cbrt (+ (exp (neg im)) (exp im))) (cbrt (+ (exp (neg im)) (exp im)))) (cbrt (+ (exp (neg im)) (exp im))) (pow (+ (exp (* -1 im)) (exp im)) 3) (sqrt (+ (exp (neg im)) (exp im))) (sqrt (+ (exp (neg im)) (exp im))) (+ (pow (exp (neg im)) 3) (pow (exp im) 3)) (+ (+ (pow (exp im) -2) -1) (exp (+ im im))) (+ (neg (exp (+ im im))) (pow (exp -1) (* 2 im))) (- (exp (neg im)) (exp im)) (+ (exp (* -1 im)) (exp im)) (* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im))) (* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im))) (log (* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im)))) (log (* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im)))) (log (* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im)))) (exp (* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im)))) (pow (* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im))) 3) (pow (* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im))) 3) (* (cbrt (* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im)))) (cbrt (* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im))))) (cbrt (* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im)))) (pow (* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im))) 3) (sqrt (* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im)))) (sqrt (* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im)))) (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)) (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (* (cbrt (+ (exp (neg im)) (exp im))) (cbrt (+ (exp (neg im)) (exp im))))) (* (* 0.5 (cos re)) (sqrt (+ (exp (neg im)) (exp im)))) (* 0.5 (cos re)) (* 0.5 (cos re)) (* (cos re) (+ (exp (neg im)) (exp im))) (* (* 0.5 (cos re)) (+ (pow (exp (neg im)) 3) (pow (exp im) 3))) (* (+ (* 0.5 (pow (exp im) -2)) (* 0.5 (neg (exp (+ im im))))) (cos re)) (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2)) (+ (exp (* -1 im)) (exp im)) (+ (exp (* -1 im)) (exp im)) (- (+ (* 0.5 (pow im 2)) 1.0) (* 0.5 (pow re 2))) (* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im))) (* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im))) 0.466 * * * [progress]: adding candidates to table 0.558 * * [progress]: iteration 2 / 4 0.558 * * * [progress]: picking best candidate 0.571 * * * * [pick]: Picked # 0.571 * * * [progress]: localizing error 0.621 * * * [progress]: generating rewritten candidates 0.621 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 0.633 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 2) 0.640 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1) 0.652 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1) 0.666 * * * [progress]: generating series expansions 0.666 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 0.667 * [approximate]: Taking taylor expansion of (- (pow (exp im) 2) (* (exp im) (exp (neg im)))) in (im) around 0 0.667 * [taylor]: Taking taylor expansion of (- (pow (exp im) 2) (* (exp im) (exp (neg im)))) in im 0.667 * [taylor]: Taking taylor expansion of (pow (exp im) 2) in im 0.667 * [taylor]: Taking taylor expansion of (exp im) in im 0.667 * [taylor]: Taking taylor expansion of im in im 0.667 * [taylor]: Taking taylor expansion of (* (exp im) (exp (neg im))) in im 0.667 * [taylor]: Taking taylor expansion of (exp im) in im 0.667 * [taylor]: Taking taylor expansion of im in im 0.667 * [taylor]: Taking taylor expansion of (exp (neg im)) in im 0.667 * [taylor]: Taking taylor expansion of (neg im) in im 0.667 * [taylor]: Taking taylor expansion of im in im 0.667 * [taylor]: Taking taylor expansion of (- (pow (exp im) 2) (* (exp im) (exp (neg im)))) in im 0.667 * [taylor]: Taking taylor expansion of (pow (exp im) 2) in im 0.667 * [taylor]: Taking taylor expansion of (exp im) in im 0.667 * [taylor]: Taking taylor expansion of im in im 0.667 * [taylor]: Taking taylor expansion of (* (exp im) (exp (neg im))) in im 0.667 * [taylor]: Taking taylor expansion of (exp im) in im 0.667 * [taylor]: Taking taylor expansion of im in im 0.667 * [taylor]: Taking taylor expansion of (exp (neg im)) in im 0.668 * [taylor]: Taking taylor expansion of (neg im) in im 0.668 * [taylor]: Taking taylor expansion of im in im 0.671 * [approximate]: Taking taylor expansion of (- (pow (exp (/ 1 im)) 2) (* (exp (neg (/ 1 im))) (exp (/ 1 im)))) in (im) around 0 0.671 * [taylor]: Taking taylor expansion of (- (pow (exp (/ 1 im)) 2) (* (exp (neg (/ 1 im))) (exp (/ 1 im)))) in im 0.671 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 im)) 2) in im 0.671 * [taylor]: Taking taylor expansion of (exp (/ 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 0.671 * [taylor]: Taking taylor expansion of (* (exp (neg (/ 1 im))) (exp (/ 1 im))) in im 0.671 * [taylor]: Taking taylor expansion of (exp (neg (/ 1 im))) in im 0.671 * [taylor]: Taking taylor expansion of (neg (/ 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 0.671 * [taylor]: Taking taylor expansion of (exp (/ 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 (- (pow (exp (/ 1 im)) 2) (* (exp (neg (/ 1 im))) (exp (/ 1 im)))) in im 0.672 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 im)) 2) in im 0.672 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.672 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.672 * [taylor]: Taking taylor expansion of im in im 0.672 * [taylor]: Taking taylor expansion of (* (exp (neg (/ 1 im))) (exp (/ 1 im))) in im 0.672 * [taylor]: Taking taylor expansion of (exp (neg (/ 1 im))) in im 0.672 * [taylor]: Taking taylor expansion of (neg (/ 1 im)) in im 0.672 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.672 * [taylor]: Taking taylor expansion of im in im 0.672 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.672 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.672 * [taylor]: Taking taylor expansion of im in im 0.676 * [approximate]: Taking taylor expansion of (- (pow (exp (/ -1 im)) 2) (* (exp (/ -1 im)) (exp (/ 1 im)))) in (im) around 0 0.676 * [taylor]: Taking taylor expansion of (- (pow (exp (/ -1 im)) 2) (* (exp (/ -1 im)) (exp (/ 1 im)))) in im 0.676 * [taylor]: Taking taylor expansion of (pow (exp (/ -1 im)) 2) in im 0.676 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.676 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.676 * [taylor]: Taking taylor expansion of -1 in im 0.676 * [taylor]: Taking taylor expansion of im in im 0.676 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (exp (/ 1 im))) in im 0.676 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.676 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.676 * [taylor]: Taking taylor expansion of -1 in im 0.676 * [taylor]: Taking taylor expansion of im in im 0.677 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.677 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.677 * [taylor]: Taking taylor expansion of im in im 0.677 * [taylor]: Taking taylor expansion of (- (pow (exp (/ -1 im)) 2) (* (exp (/ -1 im)) (exp (/ 1 im)))) in im 0.677 * [taylor]: Taking taylor expansion of (pow (exp (/ -1 im)) 2) in im 0.677 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.677 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.677 * [taylor]: Taking taylor expansion of -1 in im 0.677 * [taylor]: Taking taylor expansion of im in im 0.677 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (exp (/ 1 im))) in im 0.677 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.677 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.677 * [taylor]: Taking taylor expansion of -1 in im 0.677 * [taylor]: Taking taylor expansion of im in im 0.677 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.677 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.677 * [taylor]: Taking taylor expansion of im in im 0.681 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 2) 0.681 * [approximate]: Taking taylor expansion of (pow (exp im) 3) in (im) around 0 0.681 * [taylor]: Taking taylor expansion of (pow (exp im) 3) in im 0.681 * [taylor]: Taking taylor expansion of (exp im) in im 0.681 * [taylor]: Taking taylor expansion of im in im 0.681 * [taylor]: Taking taylor expansion of (pow (exp im) 3) in im 0.681 * [taylor]: Taking taylor expansion of (exp im) in im 0.681 * [taylor]: Taking taylor expansion of im in im 0.682 * [approximate]: Taking taylor expansion of (pow (exp (/ 1 im)) 3) in (im) around 0 0.682 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 im)) 3) in im 0.682 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.682 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.682 * [taylor]: Taking taylor expansion of im in im 0.682 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 im)) 3) in im 0.682 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.682 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.682 * [taylor]: Taking taylor expansion of im in im 0.685 * [approximate]: Taking taylor expansion of (pow (exp (/ -1 im)) 3) in (im) around 0 0.685 * [taylor]: Taking taylor expansion of (pow (exp (/ -1 im)) 3) in im 0.686 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.686 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.686 * [taylor]: Taking taylor expansion of -1 in im 0.686 * [taylor]: Taking taylor expansion of im in im 0.686 * [taylor]: Taking taylor expansion of (pow (exp (/ -1 im)) 3) in im 0.686 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.686 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.686 * [taylor]: Taking taylor expansion of -1 in im 0.686 * [taylor]: Taking taylor expansion of im in im 0.689 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1) 0.689 * [approximate]: Taking taylor expansion of (pow (exp im) 2) in (im) around 0 0.689 * [taylor]: Taking taylor expansion of (pow (exp im) 2) in im 0.689 * [taylor]: Taking taylor expansion of (exp im) in im 0.689 * [taylor]: Taking taylor expansion of im in im 0.689 * [taylor]: Taking taylor expansion of (pow (exp im) 2) in im 0.689 * [taylor]: Taking taylor expansion of (exp im) in im 0.689 * [taylor]: Taking taylor expansion of im in im 0.690 * [approximate]: Taking taylor expansion of (pow (exp (/ 1 im)) 2) in (im) around 0 0.690 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 im)) 2) in im 0.690 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.690 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.690 * [taylor]: Taking taylor expansion of im in im 0.691 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 im)) 2) in im 0.691 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.691 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.691 * [taylor]: Taking taylor expansion of im in im 0.692 * [approximate]: Taking taylor expansion of (pow (exp (/ -1 im)) 2) in (im) around 0 0.692 * [taylor]: Taking taylor expansion of (pow (exp (/ -1 im)) 2) in im 0.692 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.692 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.692 * [taylor]: Taking taylor expansion of -1 in im 0.692 * [taylor]: Taking taylor expansion of im in im 0.693 * [taylor]: Taking taylor expansion of (pow (exp (/ -1 im)) 2) in im 0.693 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.693 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.693 * [taylor]: Taking taylor expansion of -1 in im 0.693 * [taylor]: Taking taylor expansion of im in im 0.694 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1) 0.694 * [approximate]: Taking taylor expansion of (pow (exp (neg im)) 3) in (im) around 0 0.694 * [taylor]: Taking taylor expansion of (pow (exp (neg im)) 3) in im 0.695 * [taylor]: Taking taylor expansion of (exp (neg im)) in im 0.695 * [taylor]: Taking taylor expansion of (neg im) in im 0.695 * [taylor]: Taking taylor expansion of im in im 0.695 * [taylor]: Taking taylor expansion of (pow (exp (neg im)) 3) in im 0.695 * [taylor]: Taking taylor expansion of (exp (neg im)) in im 0.695 * [taylor]: Taking taylor expansion of (neg im) in im 0.695 * [taylor]: Taking taylor expansion of im in im 0.696 * [approximate]: Taking taylor expansion of (pow (exp (neg (/ 1 im))) 3) in (im) around 0 0.696 * [taylor]: Taking taylor expansion of (pow (exp (neg (/ 1 im))) 3) in im 0.696 * [taylor]: Taking taylor expansion of (exp (neg (/ 1 im))) in im 0.696 * [taylor]: Taking taylor expansion of (neg (/ 1 im)) in im 0.696 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.696 * [taylor]: Taking taylor expansion of im in im 0.696 * [taylor]: Taking taylor expansion of (pow (exp (neg (/ 1 im))) 3) in im 0.696 * [taylor]: Taking taylor expansion of (exp (neg (/ 1 im))) in im 0.696 * [taylor]: Taking taylor expansion of (neg (/ 1 im)) in im 0.696 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.696 * [taylor]: Taking taylor expansion of im in im 0.700 * [approximate]: Taking taylor expansion of (pow (exp (/ 1 im)) 3) in (im) around 0 0.700 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 im)) 3) in im 0.700 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.700 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.700 * [taylor]: Taking taylor expansion of im in im 0.700 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 im)) 3) in im 0.700 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.700 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.700 * [taylor]: Taking taylor expansion of im in im 0.703 * * * [progress]: simplifying candidates 0.706 * [simplify]: Simplifying using # : (/ (exp (* (exp im) (exp im))) (exp (* (exp (neg im)) (exp im)))) (log (- (* (exp im) (exp im)) (* (exp (neg im)) (exp im)))) (exp (- (* (exp im) (exp im)) (* (exp (neg im)) (exp im)))) (* (cbrt (- (* (exp im) (exp im)) (* (exp (neg im)) (exp im)))) (cbrt (- (* (exp im) (exp im)) (* (exp (neg im)) (exp im))))) (cbrt (- (* (exp im) (exp im)) (* (exp (neg im)) (exp im)))) (* (* (- (* (exp im) (exp im)) (* (exp (neg im)) (exp im))) (- (* (exp im) (exp im)) (* (exp (neg im)) (exp im)))) (- (* (exp im) (exp im)) (* (exp (neg im)) (exp im)))) (sqrt (- (* (exp im) (exp im)) (* (exp (neg im)) (exp im)))) (sqrt (- (* (exp im) (exp im)) (* (exp (neg im)) (exp im)))) (- (pow (* (exp im) (exp im)) 3) (pow (* (exp (neg im)) (exp im)) 3)) (+ (* (* (exp im) (exp im)) (* (exp im) (exp im))) (+ (* (* (exp (neg im)) (exp im)) (* (exp (neg im)) (exp im))) (* (* (exp im) (exp im)) (* (exp (neg im)) (exp im))))) (neg (* (exp (neg im)) (exp im))) (- (* (* (exp im) (exp im)) (* (exp im) (exp im))) (* (* (exp (neg im)) (exp im)) (* (exp (neg im)) (exp im)))) (+ (* (exp im) (exp im)) (* (exp (neg im)) (exp im))) (- (exp im) (exp (neg im))) (neg (* (exp (neg im)) (exp im))) (* im 3) (* (log (exp im)) 3) (* 1 3) (* (cbrt im) 3) (* (sqrt im) 3) (* im 3) (pow (exp im) (* (cbrt 3) (cbrt 3))) (pow (exp im) (sqrt 3)) (pow (exp im) 1) (pow (* (cbrt (exp im)) (cbrt (exp im))) 3) (pow (cbrt (exp im)) 3) (pow (sqrt (exp im)) 3) (pow (sqrt (exp im)) 3) (pow 1 3) (pow (exp im) 3) (* (exp im) (exp im)) (log (pow (exp im) 3)) (exp (pow (exp im) 3)) (* (cbrt (pow (exp im) 3)) (cbrt (pow (exp im) 3))) (cbrt (pow (exp im) 3)) (* (* (pow (exp im) 3) (pow (exp im) 3)) (pow (exp im) 3)) (pow (* (cbrt (exp im)) (cbrt (exp im))) 3) (pow (cbrt (exp im)) 3) (pow (sqrt (exp im)) 3) (pow (sqrt (exp im)) 3) (pow 1 3) (pow (exp im) 3) (* (exp im) (exp im)) (sqrt (pow (exp im) 3)) (sqrt (pow (exp im) 3)) (pow (exp im) (/ 3 2)) (pow (exp im) (/ 3 2)) (+ 1 1) (+ (cbrt im) (cbrt im)) (+ (sqrt im) (sqrt im)) (+ im im) (* (exp im) (exp im)) (* (exp (* (cbrt im) (cbrt im))) (exp (* (cbrt im) (cbrt im)))) (* (exp (sqrt im)) (exp (sqrt im))) (* (exp 1) (exp 1)) (+ 1 1) (+ im im) (log (* (exp im) (exp im))) (exp (* (exp im) (exp im))) (* (* (* (exp im) (exp im)) (exp im)) (* (* (exp im) (exp im)) (exp im))) (* (cbrt (* (exp im) (exp im))) (cbrt (* (exp im) (exp im)))) (cbrt (* (exp im) (exp im))) (* (* (* (exp im) (exp im)) (* (exp im) (exp im))) (* (exp im) (exp im))) (sqrt (* (exp im) (exp im))) (sqrt (* (exp im) (exp im))) (* (* (cbrt (exp im)) (cbrt (exp im))) (* (cbrt (exp im)) (cbrt (exp im)))) (* (cbrt (exp im)) (cbrt (exp im))) (* (sqrt (exp im)) (sqrt (exp im))) (* (sqrt (exp im)) (sqrt (exp im))) (* 1 1) (* (exp im) (exp im)) (* (sqrt (exp im)) (sqrt (exp im))) (* (sqrt (exp im)) (sqrt (exp im))) (* 2 1) (* 2 (cbrt im)) (* 2 (sqrt im)) (* 2 im) (* (exp im) (* (cbrt (exp im)) (cbrt (exp im)))) (* (exp im) (sqrt (exp im))) (* (exp im) 1) (* (cbrt (exp im)) (exp im)) (* (sqrt (exp im)) (exp im)) (* (exp im) (exp im)) (* (neg im) 3) (* (log (exp (neg im))) 3) (* 1 3) (* (cbrt (neg im)) 3) (* (sqrt (neg im)) 3) (* (neg im) 3) (* im 3) (* (cbrt im) 3) (* (sqrt im) 3) (* im 3) (* (neg (cbrt im)) 3) (* (neg (sqrt im)) 3) (* (neg im) 3) (pow (exp (neg im)) (* (cbrt 3) (cbrt 3))) (pow (exp (neg im)) (sqrt 3)) (pow (exp (neg im)) 1) (pow (* (cbrt (exp (neg im))) (cbrt (exp (neg im)))) 3) (pow (cbrt (exp (neg im))) 3) (pow (sqrt (exp (neg im))) 3) (pow (sqrt (exp (neg im))) 3) (pow 1 3) (pow (exp (neg im)) 3) (* (exp (neg im)) (exp (neg im))) (log (pow (exp (neg im)) 3)) (exp (pow (exp (neg im)) 3)) (* (cbrt (pow (exp (neg im)) 3)) (cbrt (pow (exp (neg im)) 3))) (cbrt (pow (exp (neg im)) 3)) (* (* (pow (exp (neg im)) 3) (pow (exp (neg im)) 3)) (pow (exp (neg im)) 3)) (pow (* (cbrt (exp (neg im))) (cbrt (exp (neg im)))) 3) (pow (cbrt (exp (neg im))) 3) (pow (sqrt (exp (neg im))) 3) (pow (sqrt (exp (neg im))) 3) (pow 1 3) (pow (exp (neg im)) 3) (pow 1 3) (pow (exp im) 3) (pow (exp 0) 3) (pow (exp im) 3) (* (exp (neg im)) (exp (neg im))) (sqrt (pow (exp (neg im)) 3)) (sqrt (pow (exp (neg im)) 3)) (pow (exp (neg im)) (/ 3 2)) (pow (exp (neg im)) (/ 3 2)) (+ (* 4/3 (pow im 3)) (+ (* 2 (pow im 2)) (* 2 im))) (- (pow (exp im) 2) (* (exp im) (exp (neg im)))) (- (pow (exp im) 2) (* (exp (* -1 im)) (exp im))) (+ (* 3 im) (+ (* 9/2 (pow im 2)) 1)) (pow (exp im) 3) (pow (exp im) 3) (+ (* 2 im) (+ (* 2 (pow im 2)) 1)) (pow (exp im) 2) (pow (exp im) 2) (- (+ (* 9/2 (pow im 2)) 1) (* 3 im)) (pow (exp (neg im)) 3) (pow (exp (* -1 im)) 3) 0.715 * * [simplify]: iteration 0 : 364 enodes (cost 469 ) 0.730 * * [simplify]: iteration 1 : 2072 enodes (cost 394 ) 0.902 * * [simplify]: iteration 2 : 5002 enodes (cost 357 ) 0.908 * [simplify]: Simplified to: (exp (- (pow (exp im) 2) 1)) (+ im (log (- (exp im) (exp (neg im))))) (exp (- (pow (exp im) 2) 1)) (* (cbrt (- (* (exp im) (exp im)) (* (exp (neg im)) (exp im)))) (cbrt (- (* (exp im) (exp im)) (* (exp (neg im)) (exp im))))) (cbrt (- (* (exp im) (exp im)) (* (exp (neg im)) (exp im)))) (pow (* (exp im) (- (exp im) (exp (neg im)))) 3) (sqrt (- (* (exp im) (exp im)) (* (exp (neg im)) (exp im)))) (sqrt (- (* (exp im) (exp im)) (* (exp (neg im)) (exp im)))) (+ (pow (exp im) 6) (neg (pow (* (exp (neg im)) (exp im)) 3))) (+ (* (pow (exp im) 2) 1) (* (pow (exp im) 2) (+ (pow (exp im) 2) (pow (exp (neg im)) 2)))) -1 (+ (* (neg (exp (+ im (neg im)))) 1) (pow (exp im) 4)) (+ 1 (pow (exp im) 2)) (- (exp im) (exp (neg im))) -1 (* im 3) (* im 3) 3 (* (cbrt im) 3) (* (sqrt im) 3) (* im 3) (pow (exp im) (* (cbrt 3) (cbrt 3))) (pow (exp im) (sqrt 3)) (exp im) (pow (exp im) 2) (exp im) (pow (exp im) 3/2) (pow (exp im) 3/2) 1 (pow (exp im) 3) (pow (exp im) 2) (* im 3) (exp (pow (exp im) 3)) (pow (exp im) 2) (exp im) (pow (pow (exp im) 3) 3) (pow (exp im) 2) (exp im) (pow (exp im) 3/2) (pow (exp im) 3/2) 1 (pow (exp im) 3) (pow (exp im) 2) (sqrt (pow (exp im) 3)) (sqrt (pow (exp im) 3)) (pow (exp im) 3/2) (pow (exp im) 3/2) 2 (* 2 (cbrt im)) (* 2 (sqrt im)) (+ im im) (pow (exp im) 2) (pow (exp (cbrt im)) (* 2 (cbrt im))) (exp (* 2 (sqrt im))) (exp 2) 2 (+ im im) (+ im im) (exp (pow (exp im) 2)) (pow (exp im) 6) (pow (cbrt (exp im)) 4) (cbrt (* (exp im) (exp im))) (pow (exp im) 6) (fabs (exp im)) (fabs (exp im)) (pow (cbrt (exp im)) 4) (cbrt (* (exp im) (exp im))) (exp im) (exp im) 1 (pow (exp im) 2) (exp im) (exp im) 2 (* 2 (cbrt im)) (* 2 (sqrt im)) (+ im im) (pow (cbrt (exp im)) 5) (pow (exp im) 3/2) (exp im) (pow (cbrt (exp im)) 4) (pow (exp im) 3/2) (pow (exp im) 2) (* -3 im) (* -3 im) 3 (* (cbrt (neg im)) 3) (* (sqrt (neg im)) 3) (* -3 im) (* im 3) (* (cbrt im) 3) (* (sqrt im) 3) (* im 3) (* -3 (cbrt im)) (* -3 (sqrt im)) (* -3 im) (pow (exp (neg im)) (* (cbrt 3) (cbrt 3))) (pow (exp (neg im)) (sqrt 3)) (exp (neg im)) (pow (exp im) -2) (exp (neg im)) (pow (exp (neg im)) 3/2) (pow (exp (neg im)) 3/2) 1 (exp (* -3 im)) (pow (exp im) -2) (* -3 im) (exp (exp (* -3 im))) (pow (exp im) -2) (exp (neg im)) (pow (pow (exp (* -1 im)) 3) 3) (pow (exp im) -2) (exp (neg im)) (pow (exp (neg im)) 3/2) (pow (exp (neg im)) 3/2) 1 (exp (* -3 im)) 1 (pow (exp im) 3) 1 (pow (exp im) 3) (pow (exp im) -2) (sqrt (pow (exp (neg im)) 3)) (sqrt (pow (exp (neg im)) 3)) (pow (exp (neg im)) 3/2) (pow (exp (neg im)) 3/2) (+ (* 2 (+ (pow im 2) im)) (* 4/3 (pow im 3))) (- (pow (exp im) 2) 1) (- (pow (exp im) 2) 1) (+ (* 3 im) (+ (* 9/2 (pow im 2)) 1)) (pow (exp im) 3) (pow (exp im) 3) (+ 1 (* 2 (+ (pow im 2) im))) (pow (exp im) 2) (pow (exp im) 2) (- (+ (* 9/2 (pow im 2)) 1) (* 3 im)) (exp (* -3 im)) (exp (* -3 im)) 0.909 * * * [progress]: adding candidates to table 1.183 * * [progress]: iteration 3 / 4 1.183 * * * [progress]: picking best candidate 1.188 * * * * [pick]: Picked # 1.188 * * * [progress]: localizing error 1.204 * * * [progress]: generating rewritten candidates 1.204 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2) 1.215 * * * [progress]: generating series expansions 1.215 * * * * [progress]: [ 1 / 1 ] generating series at (2 2) 1.218 * [approximate]: Taking taylor expansion of (* 0.5 (* (exp im) (cos re))) in (re im) around 0 1.218 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp im) (cos re))) in im 1.218 * [taylor]: Taking taylor expansion of 0.5 in im 1.218 * [taylor]: Taking taylor expansion of (* (exp im) (cos re)) in im 1.218 * [taylor]: Taking taylor expansion of (exp im) in im 1.218 * [taylor]: Taking taylor expansion of im in im 1.218 * [taylor]: Taking taylor expansion of (cos re) in im 1.218 * [taylor]: Taking taylor expansion of re in im 1.218 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp im) (cos re))) in re 1.218 * [taylor]: Taking taylor expansion of 0.5 in re 1.218 * [taylor]: Taking taylor expansion of (* (exp im) (cos re)) in re 1.218 * [taylor]: Taking taylor expansion of (exp im) in re 1.218 * [taylor]: Taking taylor expansion of im in re 1.218 * [taylor]: Taking taylor expansion of (cos re) in re 1.218 * [taylor]: Taking taylor expansion of re in re 1.218 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp im) (cos re))) in re 1.218 * [taylor]: Taking taylor expansion of 0.5 in re 1.218 * [taylor]: Taking taylor expansion of (* (exp im) (cos re)) in re 1.218 * [taylor]: Taking taylor expansion of (exp im) in re 1.218 * [taylor]: Taking taylor expansion of im in re 1.218 * [taylor]: Taking taylor expansion of (cos re) in re 1.218 * [taylor]: Taking taylor expansion of re in re 1.218 * [taylor]: Taking taylor expansion of (* 0.5 (exp im)) in im 1.218 * [taylor]: Taking taylor expansion of 0.5 in im 1.219 * [taylor]: Taking taylor expansion of (exp im) in im 1.219 * [taylor]: Taking taylor expansion of im in im 1.219 * [taylor]: Taking taylor expansion of 0 in im 1.220 * [taylor]: Taking taylor expansion of (neg (* 0.25 (exp im))) in im 1.221 * [taylor]: Taking taylor expansion of (* 0.25 (exp im)) in im 1.221 * [taylor]: Taking taylor expansion of 0.25 in im 1.221 * [taylor]: Taking taylor expansion of (exp im) in im 1.221 * [taylor]: Taking taylor expansion of im in im 1.222 * [approximate]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in (re im) around 0 1.222 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in im 1.222 * [taylor]: Taking taylor expansion of 0.5 in im 1.222 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in im 1.222 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 1.222 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.222 * [taylor]: Taking taylor expansion of re in im 1.222 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.223 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.223 * [taylor]: Taking taylor expansion of im in im 1.223 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in re 1.223 * [taylor]: Taking taylor expansion of 0.5 in re 1.223 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in re 1.223 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 1.223 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.223 * [taylor]: Taking taylor expansion of re in re 1.223 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 1.223 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.223 * [taylor]: Taking taylor expansion of im in re 1.223 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in re 1.223 * [taylor]: Taking taylor expansion of 0.5 in re 1.223 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in re 1.223 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 1.223 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.223 * [taylor]: Taking taylor expansion of re in re 1.223 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 1.223 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.223 * [taylor]: Taking taylor expansion of im in re 1.224 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in im 1.224 * [taylor]: Taking taylor expansion of 0.5 in im 1.224 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in im 1.224 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 1.224 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.224 * [taylor]: Taking taylor expansion of re in im 1.224 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.224 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.224 * [taylor]: Taking taylor expansion of im in im 1.225 * [taylor]: Taking taylor expansion of 0 in im 1.226 * [taylor]: Taking taylor expansion of 0 in im 1.228 * [taylor]: Taking taylor expansion of 0 in im 1.228 * [approximate]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in (re im) around 0 1.228 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in im 1.228 * [taylor]: Taking taylor expansion of 0.5 in im 1.228 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in im 1.228 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.228 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.228 * [taylor]: Taking taylor expansion of -1 in im 1.228 * [taylor]: Taking taylor expansion of im in im 1.228 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 1.228 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.228 * [taylor]: Taking taylor expansion of -1 in im 1.228 * [taylor]: Taking taylor expansion of re in im 1.229 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in re 1.229 * [taylor]: Taking taylor expansion of 0.5 in re 1.229 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in re 1.229 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 1.229 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.229 * [taylor]: Taking taylor expansion of -1 in re 1.229 * [taylor]: Taking taylor expansion of im in re 1.229 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 1.229 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.229 * [taylor]: Taking taylor expansion of -1 in re 1.229 * [taylor]: Taking taylor expansion of re in re 1.229 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in re 1.229 * [taylor]: Taking taylor expansion of 0.5 in re 1.229 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in re 1.229 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 1.229 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.229 * [taylor]: Taking taylor expansion of -1 in re 1.229 * [taylor]: Taking taylor expansion of im in re 1.229 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 1.229 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.229 * [taylor]: Taking taylor expansion of -1 in re 1.229 * [taylor]: Taking taylor expansion of re in re 1.230 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in im 1.230 * [taylor]: Taking taylor expansion of 0.5 in im 1.230 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in im 1.230 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.230 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.230 * [taylor]: Taking taylor expansion of -1 in im 1.230 * [taylor]: Taking taylor expansion of im in im 1.230 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 1.230 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.230 * [taylor]: Taking taylor expansion of -1 in im 1.230 * [taylor]: Taking taylor expansion of re in im 1.231 * [taylor]: Taking taylor expansion of 0 in im 1.232 * [taylor]: Taking taylor expansion of 0 in im 1.234 * [taylor]: Taking taylor expansion of 0 in im 1.234 * * * [progress]: simplifying candidates 1.234 * [simplify]: Simplifying using # : (* (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)) (+ (+ (log 0.5) (log (cos re))) im) (+ (log (* 0.5 (cos re))) im) (log (* (* 0.5 (cos re)) (exp im))) (exp (* (* 0.5 (cos re)) (exp im))) (* (* (* (* 0.5 0.5) 0.5) (* (* (cos re) (cos re)) (cos re))) (* (* (exp im) (exp im)) (exp im))) (* (* (* (* 0.5 (cos re)) (* 0.5 (cos re))) (* 0.5 (cos re))) (* (* (exp im) (exp im)) (exp im))) (* (cbrt (* (* 0.5 (cos re)) (exp im))) (cbrt (* (* 0.5 (cos re)) (exp im)))) (cbrt (* (* 0.5 (cos re)) (exp im))) (* (* (* (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im))) (* (* 0.5 (cos re)) (exp im))) (sqrt (* (* 0.5 (cos re)) (exp im))) (sqrt (* (* 0.5 (cos re)) (exp im))) (* (* 0.5 (cos re)) (* (cbrt (exp im)) (cbrt (exp im)))) (* (* 0.5 (cos re)) (sqrt (exp im))) (* (* 0.5 (cos re)) 1) (* (cos re) (exp im)) (- (+ (* 0.5 im) 0.5) (* 0.25 (pow re 2))) (* 0.5 (* (exp im) (cos re))) (* 0.5 (* (exp im) (cos re))) 1.239 * * [simplify]: iteration 0 : 123 enodes (cost 122 ) 1.244 * * [simplify]: iteration 1 : 577 enodes (cost 97 ) 1.266 * * [simplify]: iteration 2 : 3107 enodes (cost 97 ) 1.359 * * [simplify]: iteration 3 : 5001 enodes (cost 97 ) 1.360 * [simplify]: Simplified to: (* 0.5 (* (exp im) (cos re))) (* 0.5 (* (exp im) (cos re))) (+ im (log (* 0.5 (cos re)))) (+ im (log (* 0.5 (cos re)))) (+ im (log (* 0.5 (cos re)))) (exp (* (* 0.5 (cos re)) (exp im))) (pow (* 0.5 (* (exp im) (cos re))) 3) (pow (* 0.5 (* (exp im) (cos re))) 3) (* (cbrt (* (* 0.5 (cos re)) (exp im))) (cbrt (* (* 0.5 (cos re)) (exp im)))) (cbrt (* (* 0.5 (cos re)) (exp im))) (pow (* 0.5 (* (exp im) (cos re))) 3) (sqrt (* (* 0.5 (cos re)) (exp im))) (sqrt (* (* 0.5 (cos re)) (exp im))) (* (* 0.5 (cos re)) (* (cbrt (exp im)) (cbrt (exp im)))) (* (* 0.5 (cos re)) (sqrt (exp im))) (* 0.5 (cos re)) (* (cos re) (exp im)) (- (+ (* 0.5 im) 0.5) (* 0.25 (pow re 2))) (* 0.5 (* (exp im) (cos re))) (* 0.5 (* (exp im) (cos re))) 1.360 * * * [progress]: adding candidates to table 1.393 * [progress]: [Phase 3 of 3] Extracting. 1.393 * * [regime]: Finding splitpoints for: (# #) 1.394 * * * [regime-changes]: Trying 4 branch expressions: ((cos re) (* 0.5 (cos re)) im re) 1.394 * * * * [regimes]: Trying to branch on (cos re) from (# #) 1.453 * * * * [regimes]: Trying to branch on (* 0.5 (cos re)) from (# #) 1.511 * * * * [regimes]: Trying to branch on im from (# #) 1.570 * * * * [regimes]: Trying to branch on re from (# #) 1.629 * * * [regime]: Found split indices: #